text
stringlengths
525
23.5k
conversation_id
int64
129
108k
embedding
list
cluster
int64
6
6
Provide tags and a correct Python 3 solution for this coding contest problem. One day Kefa found n baloons. For convenience, we denote color of i-th baloon as si — lowercase letter of the Latin alphabet. Also Kefa has k friends. Friend will be upset, If he get two baloons of the same color. Kefa want to give out all baloons to his friends. Help Kefa to find out, can he give out all his baloons, such that no one of his friens will be upset — print «YES», if he can, and «NO», otherwise. Note, that Kefa's friend will not upset, if he doesn't get baloons at all. Input The first line contains two integers n and k (1 ≤ n, k ≤ 100) — the number of baloons and friends. Next line contains string s — colors of baloons. Output Answer to the task — «YES» or «NO» in a single line. You can choose the case (lower or upper) for each letter arbitrary. Examples Input 4 2 aabb Output YES Input 6 3 aacaab Output NO Note In the first sample Kefa can give 1-st and 3-rd baloon to the first friend, and 2-nd and 4-th to the second. In the second sample Kefa needs to give to all his friends baloons of color a, but one baloon will stay, thats why answer is «NO». Tags: brute force, implementation Correct Solution: ``` n,k = map(int, input().split()) s = input() r = [0]*26 y=0 for i in s: nomer = ord(i)-97 r[nomer] +=1 for i in range(len(r)): if r[i] >k and r[i] !=0: y+=1 if y>0: print('NO') elif y==0: print('YES') ```
4,718
[ 0.54248046875, 0.01387786865234375, 0.23486328125, 0.24560546875, -0.68310546875, -0.466552734375, 0.1527099609375, 0.344970703125, 0.09991455078125, 0.66552734375, 0.52880859375, 0.0303192138671875, 0.133544921875, -0.728515625, -0.556640625, 0.024200439453125, -0.75634765625, -0.83740234375, -0.49365234375, -0.305419921875, 0.069580078125, 0.2452392578125, -1.2314453125, -0.2161865234375, -0.0897216796875, 0.94482421875, 0.2099609375, -0.262939453125, 1.134765625, 0.6826171875, 0.1485595703125, -0.022918701171875, 0.71044921875, -0.73193359375, -0.381103515625, -0.41357421875, 0.58203125, -0.7333984375, -0.362548828125, -0.80419921875, 0.20166015625, -0.40625, 0.328369140625, -0.70361328125, -1.1005859375, -0.03204345703125, -0.5068359375, -0.7734375, -0.0065765380859375, -0.73388671875, 0.047576904296875, -0.15087890625, 0.61083984375, -0.29931640625, -0.174560546875, -0.193603515625, -0.0576171875, -0.35791015625, -0.73486328125, 0.315185546875, 0.1561279296875, -0.09796142578125, -0.07476806640625, -0.89794921875, -0.175537109375, 0.2415771484375, -0.05987548828125, -0.333251953125, -0.0037517547607421875, -0.68310546875, -0.3046875, 0.298095703125, -0.197265625, -0.45166015625, -0.2132568359375, -0.2177734375, 0.0626220703125, 0.072021484375, -0.81640625, 0.83154296875, 0.46875, 0.75, -0.205810546875, 0.3447265625, -0.52783203125, -0.69873046875, 0.3564453125, 0.70458984375, 0.325927734375, 0.08441162109375, -0.55810546875, 0.6162109375, -0.943359375, 0.043243408203125, 0.36767578125, 0.66162109375, 0.0714111328125, 0.494873046875, 0.030914306640625, 0.1171875, 0.85693359375, 0.410400390625, -0.51123046875, 1.0625, -0.384033203125, 0.376220703125, 0.39404296875, 0.51025390625, 0.01548004150390625, -0.6181640625, -0.269287109375, -0.52978515625, 0.4658203125, 0.280517578125, -0.11663818359375, 0.66650390625, 0.2415771484375, 0.58349609375, -0.83935546875, 0.18701171875, 0.158447265625, -0.07159423828125, 0.49169921875, -0.3193359375, -0.4033203125, -0.227783203125, -0.30078125, 0.943359375, -0.69580078125, -0.15380859375, 0.376708984375, -0.10223388671875, 0.1414794921875, 0.44384765625, -0.341552734375, 0.8310546875, -0.236328125, 0.68115234375, 0.77587890625, -0.6240234375, 0.63720703125, 0.01316070556640625, -0.1563720703125, 1.5263671875, 0.322265625, 0.2369384765625, 0.59521484375, 0.1895751953125, -0.8369140625, 0.59765625, -1.0283203125, 0.66845703125, 0.03961181640625, 0.422607421875, -0.270263671875, 0.1409912109375, -0.035186767578125, 0.422119140625, 0.22607421875, 0.16552734375, -0.476806640625, 0.041168212890625, -0.2139892578125, 0.73779296875, -0.15673828125, 0.939453125, -0.5009765625, -0.33544921875, 0.2056884765625, -0.5478515625, 0.310302734375, 0.1966552734375, -0.120361328125, 1.0673828125, 0.56298828125, 0.8740234375, 0.919921875, -0.09002685546875, 0.60546875, 0.669921875, 0.11114501953125, 0.5947265625, 0.1759033203125, 0.8154296875, 0.77490234375, 0.45166015625, 0.09014892578125, -0.27880859375, -0.70166015625, -0.708984375, -0.20068359375, 0.64501953125, -0.68701171875, 0.375244140625, -0.1737060546875, 0.1151123046875, -0.54150390625, -0.2010498046875, -0.0545654296875, -0.92333984375, -0.463134765625, 0.796875, -0.25634765625, 0.794921875, 0.1871337890625, -0.5947265625, 0.630859375, 1.0537109375, -0.41162109375, -0.08087158203125, 0.134765625, 0.3466796875, -0.012237548828125, -0.1898193359375, -0.06201171875, -0.250732421875, -0.79052734375, 1.044921875, -0.47216796875, 0.269775390625, -0.2431640625, 0.75341796875, 0.1046142578125, 0.79345703125, -0.7705078125, -0.4453125, 0.346923828125, 1.0751953125, 0.320068359375, 0.2509765625, -0.201416015625, 0.78125, 0.0523681640625, 0.99267578125, 0.65185546875, 0.299072265625, 0.4296875, 0.85693359375, 0.10125732421875, 0.09466552734375, -0.0946044921875, 0.414306640625, 0.351806640625, 0.141845703125, 0.36328125, 0.282958984375, 0.248291015625, -0.004772186279296875, -0.56201171875, 0.52099609375, -0.1824951171875, 1.0478515625, 0.304931640625, 0.428466796875, -0.1790771484375, -0.064697265625, 0.2308349609375, 0.64697265625, -0.484130859375, -0.379150390625, -0.1917724609375, -0.00107574462890625, 0.63916015625, -0.0004248619079589844, 0.027618408203125, 0.3798828125, 0.253173828125, 0.1060791015625, -0.0888671875, -0.290283203125, -0.865234375, -0.876953125, -0.85986328125, -0.465576171875, -0.75634765625, 0.061553955078125, 0.5029296875, -1.0205078125, 0.311279296875, -0.0885009765625, -0.27392578125, 0.060089111328125, -0.8984375, 0.6669921875, -0.1375732421875, 0.89794921875, -0.58935546875, 0.203369140625, 0.181640625, 0.837890625, -0.76123046875, -0.04327392578125, -0.006771087646484375, -0.5380859375, 0.33349609375, -0.1868896484375, 0.362548828125, -0.005931854248046875, -0.68310546875, -1.0615234375, -0.466064453125, 0.1827392578125, -0.32275390625, 0.1719970703125, -0.449462890625, 0.391845703125, 0.72705078125, -0.6298828125, 0.27783203125, 0.8642578125, -0.88330078125, 0.5693359375, 0.048309326171875, -0.10003662109375, -0.8349609375, 1.4892578125, 0.5146484375, 0.7880859375, -0.45166015625, -0.49560546875, -0.66455078125, 0.23828125, 0.31787109375, -0.2174072265625, -0.1617431640625, 0.57666015625, -0.244384765625, -1.1337890625, 0.310302734375, -1.1123046875, -1.0595703125, -0.08880615234375, -0.4736328125, 0.98193359375, 0.47216796875, -0.01561737060546875, 0.29931640625, -0.33203125, 0.26806640625, 0.85205078125, 0.58203125, -0.2061767578125, 0.321533203125, 0.466552734375, 0.08929443359375, 0.146484375, 0.322021484375, -0.248779296875, 0.1080322265625, 0.06256103515625, 0.250244140625, 0.357177734375, 0.219482421875, 0.153564453125, 0.626953125, 0.8310546875, -0.916015625, -0.2369384765625, -0.43408203125, 0.88134765625, 0.0731201171875, 0.08843994140625, 0.4345703125, -0.12493896484375, -0.38037109375, -1.244140625, 0.490234375, 0.218994140625, 0.47705078125, -1.220703125, 0.8759765625, 0.59375, -0.498046875, 0.5068359375, -0.74267578125, -0.1826171875, 0.75634765625, -0.07989501953125, 0.94189453125, -0.6416015625, 0.55859375, -0.1456298828125, 0.162841796875, 0.53173828125, 0.083740234375, 0.11053466796875, -0.1907958984375, -0.33154296875, -0.445068359375, -0.031463623046875, 0.1258544921875, -0.5458984375, 0.2423095703125, -0.387939453125, -0.1025390625, -0.8935546875, 0.209228515625, 0.387451171875, 0.88916015625, 0.060394287109375, 0.2369384765625, 0.253662109375, 0.453369140625, 0.162841796875, -0.440185546875, 0.43408203125, -0.418212890625, 0.87939453125, 0.44677734375, -0.7490234375, -0.455810546875, -0.1964111328125, -0.41552734375, 0.27294921875, 0.46337890625, 0.0180511474609375, -1.095703125, 0.1580810546875, -0.06549072265625, 0.66455078125, -0.2578125, -0.57177734375, 0.056121826171875, 0.55078125, -0.0201873779296875, -0.81396484375, 0.466552734375, -0.366943359375, 0.5634765625, 0.391845703125, -0.26123046875, -0.08001708984375, -0.6513671875, -0.984375, -0.343505859375, -0.0214691162109375, 0.87353515625, -0.073486328125, 0.140625, -1.1416015625, 0.81591796875, 0.72412109375, 0.0005803108215332031, -0.1187744140625, -0.1566162109375, 0.1375732421875, -0.37939453125, 0.5625, -0.31787109375, -0.634765625, 0.09124755859375, -1.0185546875, 0.226318359375, -0.1358642578125, 0.29345703125, -0.133056640625, 0.1434326171875, 0.315673828125, 0.421875, -0.5517578125, 0.09759521484375, 0.057098388671875, 0.270751953125, -0.8359375, -0.78076171875, 0.2685546875, -0.28662109375, -0.304931640625, 1.0947265625, -0.0171356201171875, -0.6923828125, 0.2303466796875, 0.2171630859375, -0.63623046875, 0.036773681640625, -0.38916015625, 0.418212890625, -0.11297607421875, -0.285400390625, 0.2568359375, -0.33251953125, 0.7734375, -0.1568603515625, -0.61083984375, -0.291748046875, -1.01171875, 0.05645751953125, -0.25732421875, -0.669921875, 0.310302734375, -0.295654296875, -0.347412109375, -0.338623046875, -0.5419921875, -0.330810546875, 0.06854248046875, -0.52685546875, -0.40478515625, 0.44140625, 0.24658203125, 1.0703125, 0.56591796875, -0.51708984375, 0.03790283203125, -0.25732421875, 0.175048828125, -0.55859375, 0.040863037109375, -0.09405517578125, -0.401123046875, -0.02667236328125, 0.2144775390625, -0.10845947265625, 0.53857421875, 0.5439453125, 0.278076171875, 0.93798828125, 0.2325439453125, -0.578125, 1.21875, -0.20849609375, -1.0576171875, -0.5087890625, 0.44140625, -0.0221710205078125, 0.5166015625, 0.2073974609375, -0.8408203125, -0.6025390625, -0.80810546875, -0.078369140625, -0.498046875, -0.18896484375, -0.85693359375, -0.0638427734375, -0.12152099609375, 0.72802734375, -0.1363525390625, -0.52001953125, 0.3173828125, -0.556640625, -0.10595703125, -0.2841796875, -0.96533203125, -0.71826171875, -0.36279296875, 0.15576171875, 0.87451171875, 0.2822265625, 0.175537109375, -0.1949462890625, -0.10601806640625, -0.0037479400634765625, -0.11962890625, -0.72314453125, -0.489501953125, -0.74755859375, 0.356689453125, -0.09027099609375, 0.1639404296875, -0.7705078125, 0.350341796875, -0.89404296875, 0.1475830078125, -0.46875, -0.429443359375, -0.54638671875, -0.277587890625, 1.0048828125, -0.44921875, 0.166259765625, -0.5068359375, 0.174560546875, 1.0263671875, -0.044403076171875, -0.16064453125, -0.634765625, -0.53466796875, -1.54296875, 1.2138671875, -0.7197265625, 0.1378173828125, -0.80615234375, -0.1767578125, 1.0224609375, -0.0994873046875, 0.43212890625, 1.451171875, 0.00914764404296875, 0.093505859375, -0.720703125, 0.44873046875, 0.81884765625, -0.595703125, 0.0246734619140625, -0.1295166015625, -0.387939453125, 0.4482421875, -0.3232421875, -0.96826171875, -0.458740234375, 0.31494140625, 1.2109375, -0.332763671875, 0.58251953125, 0.058807373046875, -0.935546875, -0.82958984375, 0.75146484375, 0.308837890625, 0.466064453125, 0.982421875, -0.03533935546875, -0.2724609375, 0.40087890625, 0.03692626953125, -0.2080078125, -0.5810546875, 1.3779296875, -0.409912109375, -0.81396484375, 0.61865234375, 0.67529296875, -1.166015625, -0.740234375, -0.03912353515625, 0.189453125, -0.34521484375, -0.6015625, -0.19873046875, 0.5400390625, -0.74072265625, 0.47900390625, 0.31201171875, -0.267578125, 0.12384033203125, 0.10150146484375, 0.9609375, -0.17041015625, 0.27783203125, 0.96142578125, -0.31982421875, -0.3740234375, -0.9560546875, 0.00054168701171875, -0.2646484375, -0.12744140625, 0.69287109375, -0.55810546875, 0.06610107421875, 0.27490234375, -0.19677734375, 0.70849609375, -0.458251953125, -0.423583984375, 0.087646484375, -0.80908203125, -0.38720703125, -0.265625, 0.53857421875, -0.1083984375, 0.131103515625, -0.4921875, -0.1800537109375, 0.419189453125, 0.2763671875, -0.32666015625, -0.849609375, -0.28564453125, -1.2197265625, -0.62939453125, -0.82861328125, -0.51171875, -0.00017952919006347656, -0.07440185546875, 0.323486328125, -0.68359375, 0.2330322265625, 0.465576171875, -0.7099609375, 0.41162109375, -0.658203125, 0.033111572265625, -0.417724609375, 0.10821533203125, -0.42578125, 0.08642578125, -0.6279296875, 0.061431884765625, -0.74658203125, 0.293701171875, -0.23681640625, 0.91259765625, -0.2401123046875, 0.25341796875, -0.04095458984375, -0.66015625, -0.317626953125, 0.25537109375, -0.369384765625, 0.44921875, 0.239013671875, -0.355224609375, 0.513671875, -0.038116455078125, -0.488525390625, -0.236572265625, 0.58544921875, 0.74951171875, -0.302978515625, -0.361328125, -0.288330078125, 0.476806640625, -0.75634765625, 0.2091064453125, -0.56591796875, 0.397216796875, -0.0220794677734375, -0.291015625, 0.69140625, 1.0146484375, -0.349609375, 0.20263671875, 0.1929931640625, -0.075439453125, 0.279541015625, -0.268310546875, 0.346435546875, 0.80126953125, 0.53662109375, -0.441162109375, -0.150390625, 0.11065673828125, -0.00737762451171875, 0.033538818359375, -0.00859832763671875, -0.7587890625, -0.7705078125, -0.177978515625, -0.1297607421875, 0.470703125, 0.6923828125, -0.80908203125, -0.12017822265625, 0.1402587890625, -0.5556640625, 0.364013671875, -1.3203125, -0.732421875, 0.1553955078125, -0.1512451171875, -0.0758056640625, -0.12054443359375, -0.2313232421875, -0.1954345703125, 0.238037109375, 0.447998046875, -0.52587890625, 0.272216796875, -0.25732421875, 0.455078125, -0.111083984375, 0.1151123046875, 0.1104736328125, 0.2484130859375, -0.5859375, -0.439697265625, 0.1064453125, 0.806640625, 0.463623046875, -0.06842041015625, -0.456298828125, 0.0709228515625, -0.2108154296875, -0.1707763671875, -0.57080078125, 0.1522216796875, -0.240234375, 0.77685546875, -0.7412109375, -0.0085296630859375, -0.2958984375, 0.1488037109375, 0.02960205078125, -0.5078125, -0.55810546875, 0.94775390625, 1.0048828125, -0.07763671875, 0.69873046875, 0.1334228515625, 0.1495361328125, -0.1251220703125, 0.050048828125, -0.1334228515625, 0.5517578125, 0.63134765625, 0.787109375, 0.054229736328125, 0.213134765625, 0.6025390625, -0.382080078125, -0.0748291015625, 0.421142578125, 0.2452392578125, -0.0100555419921875, 0.357177734375, -0.30029296875, 0.210205078125, -0.135498046875, -0.509765625, 0.1822509765625, -0.51220703125, -0.37353515625, 0.0531005859375, -0.456298828125, 0.5849609375, -0.740234375, -0.049713134765625, 0.1375732421875, -0.52685546875, 0.58447265625, 0.87841796875, 0.469482421875, 0.251953125, 1.203125, 0.43115234375, 0.15283203125, 0.3408203125, 0.244140625, 0.349609375, -0.9248046875, -0.004909515380859375, 0.36083984375, 0.06591796875, -0.12890625, -0.376220703125, -0.93505859375, 0.27099609375, -0.42041015625, -0.5517578125, 0.327392578125, -0.8994140625, 0.26708984375, -0.3779296875, 0.68115234375, -0.244873046875, 0.302490234375, -0.0281219482421875, -0.2069091796875, -0.454345703125, 0.77490234375, -0.2484130859375, 0.257568359375, 0.259521484375, 1.138671875, 0.116943359375, 1.361328125, 0.69873046875, -0.447265625, -0.037200927734375, -0.0660400390625, -0.398193359375, -0.5283203125, -0.10498046875, -0.7734375, 0.0841064453125, -0.568359375, -0.61669921875, -0.2744140625, 1.1884765625, -0.15380859375, -1.0400390625, 0.1912841796875, 0.06048583984375, -0.76708984375, 0.54638671875, 0.58935546875, 0.26025390625, 0.09564208984375, -0.09295654296875, -0.2218017578125, -0.40869140625, 0.002376556396484375, -0.5537109375, 0.40966796875, -0.49560546875, -0.82568359375, -0.56591796875, -0.966796875, -0.03399658203125, 0.2161865234375, -0.71923828125, -0.69140625, 0.450927734375, 0.583984375, 0.11309814453125, 0.02392578125, -0.21337890625, 0.0975341796875, 0.58837890625, 0.888671875, -0.035430908203125, 0.8271484375, 0.290283203125, -0.79931640625, 0.310302734375, -0.5107421875, 0.42041015625, 0.13134765625, 0.3896484375, -0.2291259765625, 0.607421875, -0.84814453125, -1.2138671875, -0.2347412109375, 0.45166015625, 0.397705078125, -0.54052734375, -0.89599609375, -0.61572265625, -1.1181640625, -0.15869140625, -0.5380859375, 0.6572265625, -0.01427459716796875, -0.11181640625, 0.09124755859375, -1.2080078125, 4.49609375, 0.98291015625, 0.93017578125, 0.5546875, -0.0102996826171875, 0.7080078125, 0.66552734375, -0.1241455078125, -0.2396240234375, -0.09521484375, 0.16796875, -0.01517486572265625, 0.1002197265625, 0.81982421875, 0.56298828125, 0.640625, -0.478515625, 0.10467529296875, -0.01134490966796875, -0.806640625, -0.77978515625, -0.12054443359375, 0.2408447265625, 0.1322021484375, 0.2388916015625, -0.217041015625, 0.334716796875, -1.009765625, 0.04254150390625, -0.08416748046875, 0.2958984375, -0.6142578125, 0.638671875, -0.263671875, 0.09698486328125, 0.61962890625, 0.2242431640625, -0.60595703125, -0.283447265625, -0.032562255859375, -0.251953125, -0.022491455078125, 0.415283203125, -0.471923828125, 0.2008056640625, -0.10064697265625, -0.78173828125, 0.315673828125, -0.1475830078125, -0.7412109375, 0.7099609375, -0.3623046875, 0.33056640625, -0.223876953125, -0.85546875, 0.37646484375, 0.1663818359375, 0.042510986328125, -0.170654296875, 0.57421875, 0.19091796875, 0.1849365234375, -0.06005859375, 0.036712646484375, -0.9697265625, 0.91259765625, 0.0283050537109375, 0.48876953125, -0.364990234375, -0.1663818359375, -0.366943359375, -0.375244140625, -0.11865234375, -0.08001708984375, 0.689453125, 0.02294921875, -0.08709716796875, 0.57470703125, 0.650390625, -0.65673828125, 0.1611328125, -0.46142578125, -0.53466796875, -0.5830078125, 0.4794921875, 0.81396484375, -0.8115234375, -0.44091796875, -0.376708984375, 0.49755859375, 0.85986328125, 0.184326171875, 0.22265625, -0.58349609375, -0.51318359375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One day Kefa found n baloons. For convenience, we denote color of i-th baloon as si — lowercase letter of the Latin alphabet. Also Kefa has k friends. Friend will be upset, If he get two baloons of the same color. Kefa want to give out all baloons to his friends. Help Kefa to find out, can he give out all his baloons, such that no one of his friens will be upset — print «YES», if he can, and «NO», otherwise. Note, that Kefa's friend will not upset, if he doesn't get baloons at all. Input The first line contains two integers n and k (1 ≤ n, k ≤ 100) — the number of baloons and friends. Next line contains string s — colors of baloons. Output Answer to the task — «YES» or «NO» in a single line. You can choose the case (lower or upper) for each letter arbitrary. Examples Input 4 2 aabb Output YES Input 6 3 aacaab Output NO Note In the first sample Kefa can give 1-st and 3-rd baloon to the first friend, and 2-nd and 4-th to the second. In the second sample Kefa needs to give to all his friends baloons of color a, but one baloon will stay, thats why answer is «NO». Tags: brute force, implementation Correct Solution: ``` n, k = map(int, input().split()) b = list(input()) a = {} s = 0 for i in b: a[i] = a.get(i, 0) + 1 for i in a: if a[i] > s: s = a[i] if s > k: print('NO') else: print('YES') ```
4,719
[ 0.54296875, 0.01059722900390625, 0.2158203125, 0.2391357421875, -0.693359375, -0.46923828125, 0.10699462890625, 0.35205078125, 0.154052734375, 0.67236328125, 0.54443359375, 0.035888671875, 0.1751708984375, -0.6904296875, -0.57421875, 0.02032470703125, -0.78271484375, -0.83837890625, -0.48388671875, -0.301025390625, 0.06695556640625, 0.260498046875, -1.2373046875, -0.23193359375, -0.09222412109375, 0.94287109375, 0.235107421875, -0.2413330078125, 1.142578125, 0.7177734375, 0.13916015625, -0.00830078125, 0.72705078125, -0.72900390625, -0.39208984375, -0.411865234375, 0.57958984375, -0.71044921875, -0.355712890625, -0.806640625, 0.1798095703125, -0.43701171875, 0.31689453125, -0.69482421875, -1.0966796875, -0.020965576171875, -0.51123046875, -0.75390625, -0.0209503173828125, -0.78369140625, 0.0225982666015625, -0.1588134765625, 0.6201171875, -0.2734375, -0.1455078125, -0.1795654296875, -0.10968017578125, -0.374267578125, -0.7373046875, 0.29345703125, 0.165283203125, -0.093994140625, -0.125, -0.89794921875, -0.185791015625, 0.2724609375, -0.0183868408203125, -0.349609375, -0.017822265625, -0.69873046875, -0.32421875, 0.303466796875, -0.1900634765625, -0.468994140625, -0.2347412109375, -0.209716796875, 0.05242919921875, 0.09423828125, -0.82421875, 0.8193359375, 0.488525390625, 0.78125, -0.200927734375, 0.351318359375, -0.55615234375, -0.705078125, 0.351318359375, 0.693359375, 0.3369140625, 0.061920166015625, -0.5576171875, 0.619140625, -0.95556640625, 0.01049041748046875, 0.363037109375, 0.6328125, 0.06488037109375, 0.49951171875, 0.0294952392578125, 0.1453857421875, 0.86865234375, 0.41064453125, -0.51416015625, 1.0556640625, -0.40283203125, 0.320068359375, 0.41357421875, 0.50830078125, 0.03875732421875, -0.619140625, -0.293212890625, -0.52392578125, 0.484375, 0.283447265625, -0.092529296875, 0.68603515625, 0.2401123046875, 0.57568359375, -0.86865234375, 0.2081298828125, 0.178466796875, -0.08160400390625, 0.486328125, -0.360595703125, -0.3779296875, -0.218505859375, -0.2802734375, 0.94970703125, -0.70458984375, -0.11529541015625, 0.37548828125, -0.09759521484375, 0.13720703125, 0.449462890625, -0.3466796875, 0.83544921875, -0.257080078125, 0.7080078125, 0.783203125, -0.62841796875, 0.64892578125, 0.030181884765625, -0.1513671875, 1.533203125, 0.334716796875, 0.245849609375, 0.583984375, 0.1700439453125, -0.85693359375, 0.57861328125, -0.99267578125, 0.689453125, 0.042633056640625, 0.397216796875, -0.279052734375, 0.147705078125, -0.045623779296875, 0.41796875, 0.240966796875, 0.1522216796875, -0.476318359375, 0.058319091796875, -0.2052001953125, 0.779296875, -0.15673828125, 0.9365234375, -0.517578125, -0.333251953125, 0.2286376953125, -0.5380859375, 0.29443359375, 0.18310546875, -0.1221923828125, 1.1025390625, 0.56005859375, 0.86083984375, 0.93896484375, -0.11907958984375, 0.61083984375, 0.6494140625, 0.1595458984375, 0.60888671875, 0.2010498046875, 0.80712890625, 0.75439453125, 0.43798828125, 0.0662841796875, -0.287109375, -0.7021484375, -0.7080078125, -0.2130126953125, 0.63427734375, -0.6904296875, 0.36669921875, -0.1492919921875, 0.1123046875, -0.55517578125, -0.1895751953125, -0.061279296875, -0.91259765625, -0.47998046875, 0.80322265625, -0.277099609375, 0.8203125, 0.2005615234375, -0.62353515625, 0.642578125, 1.0712890625, -0.38525390625, -0.07379150390625, 0.12445068359375, 0.341064453125, 0.00005507469177246094, -0.2105712890625, -0.05853271484375, -0.26318359375, -0.7822265625, 1.0576171875, -0.45263671875, 0.27880859375, -0.2432861328125, 0.75244140625, 0.1083984375, 0.77001953125, -0.78955078125, -0.4462890625, 0.34912109375, 1.068359375, 0.30810546875, 0.27734375, -0.205810546875, 0.8203125, 0.0880126953125, 0.99169921875, 0.66552734375, 0.299560546875, 0.42724609375, 0.8564453125, 0.1199951171875, 0.07586669921875, -0.07196044921875, 0.41015625, 0.353271484375, 0.1275634765625, 0.37939453125, 0.275390625, 0.233642578125, 0.0157318115234375, -0.56298828125, 0.54150390625, -0.1923828125, 1.015625, 0.33349609375, 0.40478515625, -0.189208984375, -0.07391357421875, 0.2388916015625, 0.6640625, -0.466552734375, -0.35205078125, -0.2247314453125, 0.00034046173095703125, 0.671875, -0.003192901611328125, 0.05828857421875, 0.392578125, 0.276123046875, 0.120849609375, -0.09698486328125, -0.31640625, -0.86962890625, -0.8837890625, -0.88232421875, -0.480224609375, -0.767578125, 0.07537841796875, 0.497802734375, -1.0341796875, 0.313232421875, -0.08270263671875, -0.255126953125, 0.058074951171875, -0.88232421875, 0.638671875, -0.1416015625, 0.904296875, -0.59130859375, 0.2056884765625, 0.182861328125, 0.83984375, -0.7412109375, -0.01444244384765625, 0.005764007568359375, -0.548828125, 0.33447265625, -0.1513671875, 0.373291015625, -0.050750732421875, -0.7080078125, -1.064453125, -0.475341796875, 0.189697265625, -0.333251953125, 0.1966552734375, -0.46337890625, 0.405029296875, 0.73486328125, -0.62744140625, 0.30224609375, 0.91650390625, -0.88623046875, 0.546875, 0.04400634765625, -0.085205078125, -0.8154296875, 1.5126953125, 0.4970703125, 0.80224609375, -0.470458984375, -0.459228515625, -0.6845703125, 0.2381591796875, 0.34814453125, -0.24658203125, -0.1717529296875, 0.54638671875, -0.2413330078125, -1.12890625, 0.31396484375, -1.107421875, -1.052734375, -0.08270263671875, -0.498779296875, 0.943359375, 0.47216796875, -0.01551055908203125, 0.269775390625, -0.359619140625, 0.300048828125, 0.857421875, 0.5810546875, -0.1865234375, 0.313232421875, 0.44189453125, 0.099365234375, 0.133056640625, 0.29296875, -0.254638671875, 0.1290283203125, 0.06610107421875, 0.2578125, 0.385009765625, 0.198974609375, 0.1376953125, 0.64794921875, 0.83984375, -0.88916015625, -0.2205810546875, -0.41552734375, 0.89990234375, 0.04254150390625, 0.0924072265625, 0.435791015625, -0.1444091796875, -0.407470703125, -1.2607421875, 0.52783203125, 0.194580078125, 0.513671875, -1.2099609375, 0.8505859375, 0.56787109375, -0.498046875, 0.5341796875, -0.74365234375, -0.194091796875, 0.72265625, -0.0870361328125, 0.93017578125, -0.626953125, 0.5263671875, -0.142822265625, 0.1944580078125, 0.53759765625, 0.08001708984375, 0.110107421875, -0.19921875, -0.33935546875, -0.4755859375, -0.053497314453125, 0.1258544921875, -0.5888671875, 0.2481689453125, -0.388427734375, -0.07208251953125, -0.89306640625, 0.17529296875, 0.406982421875, 0.888671875, 0.041748046875, 0.223388671875, 0.280029296875, 0.4345703125, 0.1494140625, -0.442138671875, 0.431884765625, -0.43115234375, 0.87353515625, 0.443603515625, -0.76904296875, -0.478271484375, -0.1927490234375, -0.422607421875, 0.2724609375, 0.43603515625, 0.0084991455078125, -1.10546875, 0.145263671875, -0.037628173828125, 0.68701171875, -0.23095703125, -0.5888671875, 0.057861328125, 0.56103515625, -0.0295562744140625, -0.7978515625, 0.468505859375, -0.354248046875, 0.56884765625, 0.3974609375, -0.26513671875, -0.083984375, -0.66650390625, -1.0087890625, -0.375, -0.0592041015625, 0.90283203125, -0.1114501953125, 0.1527099609375, -1.158203125, 0.81396484375, 0.72314453125, 0.0227203369140625, -0.09588623046875, -0.1719970703125, 0.1295166015625, -0.3837890625, 0.55517578125, -0.345458984375, -0.6572265625, 0.07220458984375, -1.029296875, 0.1964111328125, -0.13525390625, 0.26318359375, -0.12060546875, 0.1383056640625, 0.334228515625, 0.45849609375, -0.53759765625, 0.1124267578125, 0.069091796875, 0.2919921875, -0.84814453125, -0.77978515625, 0.25146484375, -0.266845703125, -0.307861328125, 1.068359375, -0.033203125, -0.6826171875, 0.211181640625, 0.2315673828125, -0.62744140625, 0.03887939453125, -0.380126953125, 0.374267578125, -0.104248046875, -0.290283203125, 0.21630859375, -0.33740234375, 0.80419921875, -0.1422119140625, -0.59423828125, -0.31787109375, -1.0087890625, 0.054412841796875, -0.271240234375, -0.6708984375, 0.3134765625, -0.295654296875, -0.332763671875, -0.32275390625, -0.53466796875, -0.332763671875, 0.046875, -0.50732421875, -0.40625, 0.433837890625, 0.243408203125, 1.0908203125, 0.578125, -0.50146484375, 0.0200042724609375, -0.269287109375, 0.1971435546875, -0.556640625, 0.0582275390625, -0.09649658203125, -0.37548828125, -0.0418701171875, 0.1956787109375, -0.09356689453125, 0.51953125, 0.57275390625, 0.28662109375, 0.9169921875, 0.2401123046875, -0.62255859375, 1.1982421875, -0.2294921875, -1.0263671875, -0.53759765625, 0.431884765625, -0.0254364013671875, 0.50341796875, 0.2470703125, -0.8525390625, -0.5634765625, -0.8291015625, -0.111572265625, -0.5244140625, -0.167724609375, -0.85546875, -0.046234130859375, -0.10333251953125, 0.7646484375, -0.119384765625, -0.4970703125, 0.3583984375, -0.57958984375, -0.0909423828125, -0.295166015625, -0.97998046875, -0.7314453125, -0.351806640625, 0.1087646484375, 0.8798828125, 0.295166015625, 0.194580078125, -0.2200927734375, -0.09503173828125, -0.0251007080078125, -0.157470703125, -0.69287109375, -0.5166015625, -0.75048828125, 0.36328125, -0.1265869140625, 0.208984375, -0.78369140625, 0.349365234375, -0.90673828125, 0.11907958984375, -0.4794921875, -0.391357421875, -0.5283203125, -0.26806640625, 1.0029296875, -0.450439453125, 0.1571044921875, -0.52197265625, 0.1817626953125, 1.046875, -0.069091796875, -0.1810302734375, -0.64794921875, -0.52978515625, -1.541015625, 1.236328125, -0.71533203125, 0.1378173828125, -0.8388671875, -0.166259765625, 1.0546875, -0.09130859375, 0.4716796875, 1.4560546875, -0.0010204315185546875, 0.08038330078125, -0.74072265625, 0.417236328125, 0.814453125, -0.599609375, 0.01082611083984375, -0.11199951171875, -0.371826171875, 0.434326171875, -0.32421875, -0.99609375, -0.4599609375, 0.305419921875, 1.220703125, -0.370361328125, 0.59619140625, 0.041656494140625, -0.92041015625, -0.85693359375, 0.7666015625, 0.336669921875, 0.43994140625, 0.99951171875, -0.0599365234375, -0.3212890625, 0.378173828125, 0.0501708984375, -0.212890625, -0.58154296875, 1.39453125, -0.41748046875, -0.77587890625, 0.599609375, 0.6689453125, -1.150390625, -0.74853515625, -0.058868408203125, 0.1707763671875, -0.34033203125, -0.59130859375, -0.2021484375, 0.529296875, -0.71923828125, 0.50634765625, 0.328857421875, -0.297119140625, 0.11505126953125, 0.1287841796875, 0.955078125, -0.1585693359375, 0.258056640625, 0.96044921875, -0.31982421875, -0.4111328125, -0.9658203125, 0.02313232421875, -0.268310546875, -0.1505126953125, 0.720703125, -0.6025390625, 0.054534912109375, 0.26123046875, -0.1796875, 0.71875, -0.441162109375, -0.43994140625, 0.06683349609375, -0.83544921875, -0.356201171875, -0.264892578125, 0.52392578125, -0.115966796875, 0.1275634765625, -0.470703125, -0.1695556640625, 0.428955078125, 0.2457275390625, -0.343505859375, -0.88525390625, -0.27490234375, -1.20703125, -0.61962890625, -0.8330078125, -0.465576171875, 0.01441192626953125, -0.10107421875, 0.332275390625, -0.6962890625, 0.240966796875, 0.50048828125, -0.712890625, 0.44580078125, -0.66259765625, 0.0178680419921875, -0.41015625, 0.09661865234375, -0.415283203125, 0.08270263671875, -0.66015625, 0.0487060546875, -0.7412109375, 0.300048828125, -0.24951171875, 0.919921875, -0.255615234375, 0.261962890625, -0.069580078125, -0.68994140625, -0.312744140625, 0.28271484375, -0.35498046875, 0.4248046875, 0.215576171875, -0.387939453125, 0.52294921875, -0.039764404296875, -0.5009765625, -0.2176513671875, 0.640625, 0.7646484375, -0.28466796875, -0.3271484375, -0.290283203125, 0.45068359375, -0.7431640625, 0.2421875, -0.51123046875, 0.3896484375, -0.008209228515625, -0.265869140625, 0.68408203125, 1.0322265625, -0.352783203125, 0.2457275390625, 0.2005615234375, -0.06854248046875, 0.293212890625, -0.25830078125, 0.332763671875, 0.79345703125, 0.517578125, -0.411865234375, -0.1751708984375, 0.126220703125, -0.0284271240234375, 0.03515625, -0.0057525634765625, -0.74658203125, -0.7666015625, -0.1763916015625, -0.153564453125, 0.455322265625, 0.71630859375, -0.7763671875, -0.1187744140625, 0.126220703125, -0.55859375, 0.37890625, -1.34375, -0.7578125, 0.165771484375, -0.1197509765625, -0.1165771484375, -0.134521484375, -0.2479248046875, -0.2081298828125, 0.222412109375, 0.455078125, -0.53271484375, 0.2958984375, -0.249267578125, 0.4501953125, -0.11126708984375, 0.11602783203125, 0.103759765625, 0.232666015625, -0.58349609375, -0.4443359375, 0.1199951171875, 0.7978515625, 0.4365234375, -0.058013916015625, -0.447021484375, 0.0859375, -0.2166748046875, -0.182861328125, -0.57470703125, 0.1553955078125, -0.2257080078125, 0.75634765625, -0.7041015625, -0.03802490234375, -0.322021484375, 0.1591796875, 0.04095458984375, -0.50439453125, -0.591796875, 0.9404296875, 0.984375, -0.07421875, 0.70556640625, 0.143310546875, 0.151123046875, -0.1295166015625, 0.0714111328125, -0.12646484375, 0.53564453125, 0.6181640625, 0.77392578125, 0.09576416015625, 0.190185546875, 0.5830078125, -0.382568359375, -0.060638427734375, 0.4228515625, 0.2330322265625, 0.018951416015625, 0.36279296875, -0.284423828125, 0.2073974609375, -0.1220703125, -0.5107421875, 0.2095947265625, -0.53759765625, -0.355224609375, 0.08123779296875, -0.439208984375, 0.56884765625, -0.72265625, -0.0382080078125, 0.136962890625, -0.56640625, 0.572265625, 0.8828125, 0.467041015625, 0.257568359375, 1.21875, 0.43701171875, 0.127685546875, 0.33740234375, 0.2288818359375, 0.37109375, -0.9150390625, 0.00274658203125, 0.37548828125, 0.043304443359375, -0.1610107421875, -0.386962890625, -0.92529296875, 0.2880859375, -0.431396484375, -0.54248046875, 0.338623046875, -0.92236328125, 0.23388671875, -0.4013671875, 0.6494140625, -0.215087890625, 0.28173828125, -0.0220184326171875, -0.2347412109375, -0.464599609375, 0.751953125, -0.24951171875, 0.263916015625, 0.256591796875, 1.12109375, 0.0958251953125, 1.3349609375, 0.732421875, -0.414794921875, -0.037628173828125, -0.068603515625, -0.387939453125, -0.53515625, -0.102783203125, -0.77490234375, 0.09747314453125, -0.5556640625, -0.60791015625, -0.2587890625, 1.212890625, -0.1348876953125, -1.0458984375, 0.1607666015625, 0.08123779296875, -0.77490234375, 0.568359375, 0.64013671875, 0.228271484375, 0.09503173828125, -0.08447265625, -0.247802734375, -0.408447265625, 0.011260986328125, -0.5595703125, 0.393310546875, -0.50244140625, -0.82177734375, -0.5703125, -0.9814453125, -0.037353515625, 0.238037109375, -0.7119140625, -0.67724609375, 0.43310546875, 0.56591796875, 0.1134033203125, 0.030975341796875, -0.207275390625, 0.09722900390625, 0.6220703125, 0.8857421875, -0.01183319091796875, 0.83544921875, 0.272216796875, -0.8115234375, 0.333984375, -0.515625, 0.441162109375, 0.1685791015625, 0.399658203125, -0.2279052734375, 0.59228515625, -0.85498046875, -1.2373046875, -0.21142578125, 0.466552734375, 0.416259765625, -0.53662109375, -0.8994140625, -0.60302734375, -1.1103515625, -0.132080078125, -0.52685546875, 0.65966796875, -0.034515380859375, -0.121826171875, 0.10040283203125, -1.1826171875, 4.4765625, 0.96923828125, 0.9150390625, 0.5576171875, -0.01021575927734375, 0.7109375, 0.67919921875, -0.086181640625, -0.234130859375, -0.08636474609375, 0.166748046875, -0.0257110595703125, 0.1156005859375, 0.837890625, 0.5419921875, 0.66259765625, -0.488525390625, 0.115966796875, -0.007320404052734375, -0.8037109375, -0.7802734375, -0.1070556640625, 0.213623046875, 0.1497802734375, 0.2440185546875, -0.225341796875, 0.327880859375, -1.029296875, 0.0262603759765625, -0.0684814453125, 0.2939453125, -0.61962890625, 0.65673828125, -0.281005859375, 0.10650634765625, 0.64404296875, 0.221923828125, -0.6162109375, -0.2587890625, -0.030303955078125, -0.2498779296875, -0.01641845703125, 0.435791015625, -0.478515625, 0.193603515625, -0.0694580078125, -0.796875, 0.29443359375, -0.1387939453125, -0.7353515625, 0.705078125, -0.390625, 0.35693359375, -0.2489013671875, -0.85693359375, 0.342529296875, 0.1715087890625, 0.064697265625, -0.1796875, 0.5595703125, 0.1898193359375, 0.20263671875, -0.0138397216796875, 0.030975341796875, -0.98974609375, 0.90380859375, 0.0273284912109375, 0.5068359375, -0.33203125, -0.1746826171875, -0.35205078125, -0.384033203125, -0.10638427734375, -0.1075439453125, 0.68603515625, 0.027587890625, -0.09674072265625, 0.60302734375, 0.658203125, -0.66259765625, 0.10919189453125, -0.486328125, -0.55517578125, -0.58203125, 0.5166015625, 0.82568359375, -0.85888671875, -0.47119140625, -0.383056640625, 0.51953125, 0.8525390625, 0.2022705078125, 0.234619140625, -0.525390625, -0.51611328125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One day Kefa found n baloons. For convenience, we denote color of i-th baloon as si — lowercase letter of the Latin alphabet. Also Kefa has k friends. Friend will be upset, If he get two baloons of the same color. Kefa want to give out all baloons to his friends. Help Kefa to find out, can he give out all his baloons, such that no one of his friens will be upset — print «YES», if he can, and «NO», otherwise. Note, that Kefa's friend will not upset, if he doesn't get baloons at all. Input The first line contains two integers n and k (1 ≤ n, k ≤ 100) — the number of baloons and friends. Next line contains string s — colors of baloons. Output Answer to the task — «YES» or «NO» in a single line. You can choose the case (lower or upper) for each letter arbitrary. Examples Input 4 2 aabb Output YES Input 6 3 aacaab Output NO Note In the first sample Kefa can give 1-st and 3-rd baloon to the first friend, and 2-nd and 4-th to the second. In the second sample Kefa needs to give to all his friends baloons of color a, but one baloon will stay, thats why answer is «NO». Tags: brute force, implementation Correct Solution: ``` n, k = map(int, input().split()) s = input() l = set(list(s)) a = [s.count(i) for i in l] if max(a) > k: print('NO') else: print('YES') ```
4,720
[ 0.541015625, 0.006671905517578125, 0.22607421875, 0.2509765625, -0.70458984375, -0.484619140625, 0.1046142578125, 0.3388671875, 0.1793212890625, 0.6689453125, 0.5224609375, 0.0404052734375, 0.17236328125, -0.70849609375, -0.57763671875, -0.001834869384765625, -0.81689453125, -0.8388671875, -0.480712890625, -0.266845703125, 0.0831298828125, 0.250244140625, -1.2451171875, -0.24267578125, -0.0909423828125, 0.93505859375, 0.25537109375, -0.23193359375, 1.125, 0.7275390625, 0.1302490234375, 0.010833740234375, 0.70751953125, -0.74658203125, -0.382080078125, -0.425537109375, 0.595703125, -0.70947265625, -0.402587890625, -0.79931640625, 0.1668701171875, -0.45458984375, 0.334228515625, -0.68896484375, -1.0810546875, -0.00968170166015625, -0.501953125, -0.7626953125, -0.03387451171875, -0.76708984375, 0.029266357421875, -0.12841796875, 0.63671875, -0.24169921875, -0.14892578125, -0.1656494140625, -0.10546875, -0.3779296875, -0.73779296875, 0.254638671875, 0.1800537109375, -0.1029052734375, -0.13330078125, -0.88671875, -0.1763916015625, 0.262451171875, -0.04986572265625, -0.3447265625, -0.0005311965942382812, -0.7177734375, -0.322509765625, 0.29541015625, -0.19677734375, -0.4697265625, -0.2220458984375, -0.2191162109375, 0.07415771484375, 0.08001708984375, -0.81884765625, 0.810546875, 0.5126953125, 0.78173828125, -0.205078125, 0.336181640625, -0.56005859375, -0.68359375, 0.34033203125, 0.68701171875, 0.314697265625, 0.06805419921875, -0.576171875, 0.61376953125, -0.953125, 0.0321044921875, 0.382568359375, 0.6376953125, 0.03955078125, 0.50634765625, 0.055908203125, 0.1534423828125, 0.875, 0.429443359375, -0.5087890625, 1.080078125, -0.390380859375, 0.338134765625, 0.390625, 0.51171875, 0.049530029296875, -0.595703125, -0.27978515625, -0.4990234375, 0.44775390625, 0.27685546875, -0.10760498046875, 0.685546875, 0.242919921875, 0.583984375, -0.88671875, 0.2066650390625, 0.181396484375, -0.06866455078125, 0.49609375, -0.3662109375, -0.37646484375, -0.255615234375, -0.3134765625, 0.9462890625, -0.69775390625, -0.1068115234375, 0.36572265625, -0.0849609375, 0.1300048828125, 0.478515625, -0.333984375, 0.83203125, -0.269775390625, 0.69970703125, 0.77783203125, -0.62890625, 0.63916015625, 0.048370361328125, -0.160400390625, 1.541015625, 0.347900390625, 0.249755859375, 0.60498046875, 0.173583984375, -0.8662109375, 0.57421875, -1.033203125, 0.6806640625, 0.056854248046875, 0.40673828125, -0.25927734375, 0.168212890625, -0.0396728515625, 0.40380859375, 0.2239990234375, 0.157958984375, -0.491455078125, 0.07354736328125, -0.2032470703125, 0.7626953125, -0.1710205078125, 0.93505859375, -0.529296875, -0.320556640625, 0.2135009765625, -0.5341796875, 0.309326171875, 0.1748046875, -0.0999755859375, 1.1171875, 0.55615234375, 0.87109375, 0.94580078125, -0.1302490234375, 0.623046875, 0.65673828125, 0.162353515625, 0.615234375, 0.188232421875, 0.802734375, 0.74658203125, 0.435302734375, 0.0650634765625, -0.30712890625, -0.68017578125, -0.70263671875, -0.2109375, 0.60693359375, -0.7001953125, 0.34375, -0.1319580078125, 0.1138916015625, -0.56103515625, -0.189697265625, -0.044677734375, -0.89892578125, -0.470703125, 0.7998046875, -0.281982421875, 0.80126953125, 0.2154541015625, -0.6083984375, 0.61474609375, 1.0634765625, -0.39892578125, -0.0693359375, 0.1439208984375, 0.336181640625, 0.0214385986328125, -0.1890869140625, -0.0609130859375, -0.280029296875, -0.7763671875, 1.0478515625, -0.46142578125, 0.263916015625, -0.247802734375, 0.75537109375, 0.09814453125, 0.74853515625, -0.7841796875, -0.445556640625, 0.347900390625, 1.08203125, 0.28369140625, 0.271240234375, -0.2071533203125, 0.78515625, 0.0714111328125, 0.99072265625, 0.65966796875, 0.292236328125, 0.412353515625, 0.859375, 0.102783203125, 0.0775146484375, -0.06182861328125, 0.439697265625, 0.36279296875, 0.10845947265625, 0.365234375, 0.278564453125, 0.2158203125, 0.0142059326171875, -0.56396484375, 0.54736328125, -0.168701171875, 1.029296875, 0.3359375, 0.425048828125, -0.1634521484375, -0.069580078125, 0.235107421875, 0.650390625, -0.4560546875, -0.370361328125, -0.219482421875, -0.023834228515625, 0.68017578125, 0.00783538818359375, 0.05010986328125, 0.390380859375, 0.292724609375, 0.129638671875, -0.1051025390625, -0.291748046875, -0.8583984375, -0.88134765625, -0.8681640625, -0.50390625, -0.75830078125, 0.0758056640625, 0.490478515625, -1.03515625, 0.300048828125, -0.08563232421875, -0.27392578125, 0.046600341796875, -0.8876953125, 0.64501953125, -0.1654052734375, 0.923828125, -0.59033203125, 0.201416015625, 0.1776123046875, 0.85009765625, -0.72705078125, -0.00616455078125, 0.0019140243530273438, -0.51806640625, 0.356201171875, -0.1259765625, 0.386962890625, -0.019805908203125, -0.72412109375, -1.064453125, -0.45947265625, 0.2022705078125, -0.343505859375, 0.194580078125, -0.46826171875, 0.41064453125, 0.71728515625, -0.62939453125, 0.292724609375, 0.9013671875, -0.89501953125, 0.56103515625, 0.0408935546875, -0.06689453125, -0.81884765625, 1.490234375, 0.48974609375, 0.7939453125, -0.458251953125, -0.450927734375, -0.7138671875, 0.251953125, 0.316650390625, -0.2408447265625, -0.172119140625, 0.544921875, -0.252685546875, -1.1201171875, 0.34130859375, -1.15625, -1.0517578125, -0.08502197265625, -0.487548828125, 0.9775390625, 0.484375, -0.04241943359375, 0.253173828125, -0.353271484375, 0.29296875, 0.84375, 0.59228515625, -0.2242431640625, 0.311767578125, 0.44140625, 0.085205078125, 0.1295166015625, 0.267333984375, -0.245849609375, 0.11376953125, 0.08056640625, 0.265625, 0.37109375, 0.1954345703125, 0.143310546875, 0.6201171875, 0.802734375, -0.8857421875, -0.2103271484375, -0.4052734375, 0.85498046875, 0.0513916015625, 0.07928466796875, 0.407470703125, -0.128173828125, -0.422119140625, -1.28125, 0.51708984375, 0.1953125, 0.51708984375, -1.2177734375, 0.84326171875, 0.58544921875, -0.5166015625, 0.55908203125, -0.73046875, -0.20068359375, 0.72021484375, -0.0809326171875, 0.93017578125, -0.64501953125, 0.5146484375, -0.1444091796875, 0.1683349609375, 0.541015625, 0.0758056640625, 0.1302490234375, -0.19970703125, -0.3427734375, -0.4638671875, -0.0263519287109375, 0.15283203125, -0.5732421875, 0.2388916015625, -0.387451171875, -0.07562255859375, -0.888671875, 0.172607421875, 0.425537109375, 0.87646484375, 0.041748046875, 0.2486572265625, 0.286376953125, 0.423828125, 0.1513671875, -0.442626953125, 0.431640625, -0.420654296875, 0.8876953125, 0.47509765625, -0.7939453125, -0.47509765625, -0.205810546875, -0.3896484375, 0.260986328125, 0.4443359375, 0.00992584228515625, -1.1015625, 0.1536865234375, -0.036468505859375, 0.72216796875, -0.247314453125, -0.572265625, 0.06878662109375, 0.54736328125, -0.0389404296875, -0.810546875, 0.474853515625, -0.36328125, 0.56787109375, 0.390625, -0.25927734375, -0.10357666015625, -0.6484375, -1.0107421875, -0.34619140625, -0.062164306640625, 0.912109375, -0.1263427734375, 0.172607421875, -1.1572265625, 0.80029296875, 0.72412109375, 0.0109405517578125, -0.0826416015625, -0.1573486328125, 0.12445068359375, -0.38427734375, 0.55224609375, -0.351806640625, -0.6767578125, 0.0782470703125, -1.046875, 0.2274169921875, -0.147216796875, 0.27294921875, -0.1116943359375, 0.14013671875, 0.337646484375, 0.431396484375, -0.49267578125, 0.10137939453125, 0.05718994140625, 0.294677734375, -0.83349609375, -0.76904296875, 0.25390625, -0.300537109375, -0.29931640625, 1.1015625, -0.0560302734375, -0.66748046875, 0.2021484375, 0.229736328125, -0.62548828125, 0.04052734375, -0.35302734375, 0.392578125, -0.075439453125, -0.302490234375, 0.22607421875, -0.323974609375, 0.77197265625, -0.1453857421875, -0.6005859375, -0.28515625, -1.0205078125, 0.045745849609375, -0.281494140625, -0.66748046875, 0.31982421875, -0.287353515625, -0.3349609375, -0.32763671875, -0.52294921875, -0.34423828125, 0.045562744140625, -0.509765625, -0.42041015625, 0.437255859375, 0.232666015625, 1.11328125, 0.57177734375, -0.53515625, 0.038543701171875, -0.26953125, 0.167236328125, -0.5703125, 0.056549072265625, -0.114013671875, -0.383544921875, -0.02996826171875, 0.1903076171875, -0.08624267578125, 0.57177734375, 0.603515625, 0.26904296875, 0.93896484375, 0.253662109375, -0.63134765625, 1.1875, -0.2301025390625, -1.00390625, -0.515625, 0.442626953125, -0.00803375244140625, 0.48583984375, 0.2410888671875, -0.841796875, -0.56640625, -0.828125, -0.08740234375, -0.47607421875, -0.1728515625, -0.87548828125, -0.032135009765625, -0.1080322265625, 0.77587890625, -0.1378173828125, -0.478759765625, 0.364013671875, -0.5546875, -0.08673095703125, -0.289794921875, -0.9697265625, -0.72802734375, -0.3828125, 0.1201171875, 0.853515625, 0.295654296875, 0.1746826171875, -0.1932373046875, -0.094970703125, -0.01317596435546875, -0.1646728515625, -0.7314453125, -0.5341796875, -0.76416015625, 0.3505859375, -0.1219482421875, 0.1962890625, -0.76318359375, 0.363037109375, -0.90966796875, 0.139892578125, -0.456298828125, -0.406982421875, -0.533203125, -0.3056640625, 1.033203125, -0.480224609375, 0.15673828125, -0.5244140625, 0.146484375, 1.05078125, -0.048065185546875, -0.150146484375, -0.64111328125, -0.5009765625, -1.5380859375, 1.25, -0.7119140625, 0.135009765625, -0.859375, -0.142822265625, 1.0615234375, -0.1063232421875, 0.47412109375, 1.4423828125, 0.0058746337890625, 0.07513427734375, -0.71240234375, 0.39501953125, 0.77392578125, -0.6083984375, -0.01103973388671875, -0.16357421875, -0.3818359375, 0.43896484375, -0.328369140625, -1.01171875, -0.46044921875, 0.297607421875, 1.23046875, -0.37548828125, 0.5849609375, 0.03753662109375, -0.92138671875, -0.89794921875, 0.78369140625, 0.310546875, 0.439208984375, 0.97314453125, -0.08892822265625, -0.3212890625, 0.360107421875, 0.062042236328125, -0.2401123046875, -0.59326171875, 1.3818359375, -0.427734375, -0.783203125, 0.59912109375, 0.6875, -1.1708984375, -0.75732421875, -0.04486083984375, 0.166259765625, -0.324462890625, -0.57568359375, -0.22412109375, 0.5595703125, -0.74951171875, 0.5, 0.329833984375, -0.301025390625, 0.11651611328125, 0.11578369140625, 0.95458984375, -0.1630859375, 0.262939453125, 0.97265625, -0.314208984375, -0.405029296875, -0.943359375, 0.0216064453125, -0.257080078125, -0.1484375, 0.7119140625, -0.59521484375, 0.0275726318359375, 0.252197265625, -0.1666259765625, 0.72509765625, -0.457763671875, -0.442626953125, 0.04095458984375, -0.8271484375, -0.34228515625, -0.2454833984375, 0.53369140625, -0.09893798828125, 0.17333984375, -0.455078125, -0.1617431640625, 0.45849609375, 0.279296875, -0.320068359375, -0.87744140625, -0.270751953125, -1.1904296875, -0.61572265625, -0.79443359375, -0.455810546875, 0.0194244384765625, -0.1119384765625, 0.335205078125, -0.6923828125, 0.25732421875, 0.474365234375, -0.7333984375, 0.415771484375, -0.65966796875, 0.005184173583984375, -0.40673828125, 0.131103515625, -0.4228515625, 0.07830810546875, -0.625, 0.057281494140625, -0.73291015625, 0.30126953125, -0.254638671875, 0.9296875, -0.253173828125, 0.287109375, -0.063720703125, -0.70068359375, -0.304931640625, 0.2486572265625, -0.352783203125, 0.42724609375, 0.2337646484375, -0.376708984375, 0.494140625, -0.01287078857421875, -0.495849609375, -0.2154541015625, 0.6279296875, 0.75732421875, -0.2763671875, -0.351318359375, -0.2958984375, 0.44580078125, -0.75244140625, 0.2464599609375, -0.52001953125, 0.371826171875, 0.00597381591796875, -0.258544921875, 0.7138671875, 1.0166015625, -0.376708984375, 0.251953125, 0.2005615234375, -0.0831298828125, 0.287109375, -0.2464599609375, 0.316650390625, 0.8115234375, 0.492919921875, -0.4072265625, -0.2032470703125, 0.1121826171875, -0.007747650146484375, 0.036865234375, 0.008087158203125, -0.73828125, -0.76025390625, -0.1746826171875, -0.1717529296875, 0.46337890625, 0.7080078125, -0.78759765625, -0.116943359375, 0.1453857421875, -0.56982421875, 0.38720703125, -1.3330078125, -0.7724609375, 0.177734375, -0.09375, -0.12347412109375, -0.133056640625, -0.247314453125, -0.1768798828125, 0.24169921875, 0.447021484375, -0.529296875, 0.295166015625, -0.281005859375, 0.420654296875, -0.11053466796875, 0.10357666015625, 0.1156005859375, 0.2303466796875, -0.5791015625, -0.430908203125, 0.09759521484375, 0.81005859375, 0.445556640625, -0.03863525390625, -0.439697265625, 0.0802001953125, -0.23876953125, -0.214599609375, -0.59228515625, 0.158447265625, -0.2352294921875, 0.716796875, -0.712890625, -0.0430908203125, -0.322509765625, 0.143310546875, 0.029144287109375, -0.5400390625, -0.5849609375, 0.91943359375, 0.978515625, -0.08013916015625, 0.70068359375, 0.16845703125, 0.1485595703125, -0.14990234375, 0.0943603515625, -0.11041259765625, 0.5224609375, 0.6455078125, 0.767578125, 0.08477783203125, 0.208984375, 0.61572265625, -0.377197265625, -0.049468994140625, 0.43701171875, 0.2203369140625, 0.03466796875, 0.319091796875, -0.294677734375, 0.2105712890625, -0.1134033203125, -0.49267578125, 0.216796875, -0.52197265625, -0.35986328125, 0.09375, -0.47705078125, 0.57568359375, -0.7109375, -0.06787109375, 0.139892578125, -0.52392578125, 0.6005859375, 0.9072265625, 0.473876953125, 0.253173828125, 1.232421875, 0.4404296875, 0.1763916015625, 0.330078125, 0.2352294921875, 0.359619140625, -0.90576171875, 0.002101898193359375, 0.332275390625, 0.04730224609375, -0.1282958984375, -0.359130859375, -0.89990234375, 0.250244140625, -0.417236328125, -0.53857421875, 0.343994140625, -0.91015625, 0.2291259765625, -0.41259765625, 0.685546875, -0.2030029296875, 0.26953125, -0.0037631988525390625, -0.2418212890625, -0.4521484375, 0.77099609375, -0.2509765625, 0.245361328125, 0.27587890625, 1.1083984375, 0.12115478515625, 1.36328125, 0.72802734375, -0.43994140625, -0.044342041015625, -0.06640625, -0.39404296875, -0.54150390625, -0.1014404296875, -0.73291015625, 0.09283447265625, -0.583984375, -0.5986328125, -0.2388916015625, 1.203125, -0.1119384765625, -1.056640625, 0.174560546875, 0.07080078125, -0.7666015625, 0.52587890625, 0.6220703125, 0.223876953125, 0.12139892578125, -0.08099365234375, -0.25341796875, -0.408447265625, 0.0293121337890625, -0.55810546875, 0.40771484375, -0.5126953125, -0.8154296875, -0.548828125, -0.9775390625, -0.04193115234375, 0.2176513671875, -0.72802734375, -0.66259765625, 0.418212890625, 0.57470703125, 0.1412353515625, 0.0589599609375, -0.206787109375, 0.09967041015625, 0.62451171875, 0.86279296875, -0.0228271484375, 0.84716796875, 0.263916015625, -0.80419921875, 0.335693359375, -0.492919921875, 0.42431640625, 0.1807861328125, 0.394775390625, -0.2305908203125, 0.607421875, -0.86962890625, -1.248046875, -0.219482421875, 0.43896484375, 0.43115234375, -0.560546875, -0.87548828125, -0.59521484375, -1.1328125, -0.12139892578125, -0.51220703125, 0.65478515625, -0.044921875, -0.1065673828125, 0.09271240234375, -1.1806640625, 4.48046875, 0.9443359375, 0.91015625, 0.55078125, -0.028076171875, 0.701171875, 0.68017578125, -0.10198974609375, -0.257568359375, -0.10107421875, 0.1590576171875, -0.00823211669921875, 0.1217041015625, 0.84228515625, 0.54443359375, 0.64013671875, -0.49609375, 0.134765625, -0.0176849365234375, -0.8095703125, -0.81396484375, -0.099853515625, 0.1962890625, 0.15625, 0.258544921875, -0.1986083984375, 0.321533203125, -1.02734375, 0.00789642333984375, -0.10882568359375, 0.306396484375, -0.62548828125, 0.6474609375, -0.285888671875, 0.1160888671875, 0.63525390625, 0.23583984375, -0.6025390625, -0.271240234375, -0.032989501953125, -0.22900390625, -0.02947998046875, 0.42822265625, -0.490966796875, 0.192626953125, -0.10736083984375, -0.80419921875, 0.2978515625, -0.1412353515625, -0.73974609375, 0.6845703125, -0.36669921875, 0.3330078125, -0.2470703125, -0.8662109375, 0.335693359375, 0.1756591796875, 0.060699462890625, -0.181884765625, 0.560546875, 0.187255859375, 0.213134765625, -0.0174102783203125, 0.01346588134765625, -0.978515625, 0.90283203125, 0.0494384765625, 0.487548828125, -0.34716796875, -0.1630859375, -0.330078125, -0.378173828125, -0.1024169921875, -0.111572265625, 0.65283203125, 0.01119232177734375, -0.1085205078125, 0.61083984375, 0.67626953125, -0.66064453125, 0.1097412109375, -0.46826171875, -0.53271484375, -0.58349609375, 0.515625, 0.8212890625, -0.87060546875, -0.46826171875, -0.38232421875, 0.5107421875, 0.8291015625, 0.18701171875, 0.2398681640625, -0.495849609375, -0.52294921875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One day Kefa found n baloons. For convenience, we denote color of i-th baloon as si — lowercase letter of the Latin alphabet. Also Kefa has k friends. Friend will be upset, If he get two baloons of the same color. Kefa want to give out all baloons to his friends. Help Kefa to find out, can he give out all his baloons, such that no one of his friens will be upset — print «YES», if he can, and «NO», otherwise. Note, that Kefa's friend will not upset, if he doesn't get baloons at all. Input The first line contains two integers n and k (1 ≤ n, k ≤ 100) — the number of baloons and friends. Next line contains string s — colors of baloons. Output Answer to the task — «YES» or «NO» in a single line. You can choose the case (lower or upper) for each letter arbitrary. Examples Input 4 2 aabb Output YES Input 6 3 aacaab Output NO Note In the first sample Kefa can give 1-st and 3-rd baloon to the first friend, and 2-nd and 4-th to the second. In the second sample Kefa needs to give to all his friends baloons of color a, but one baloon will stay, thats why answer is «NO». Tags: brute force, implementation Correct Solution: ``` n,k=map(int,input().split()) a=input() d={} for i in a: d[i]=d.get(i,0)+1 for i in d: if d[i]>k: print('NO') break else: print('YES') # n,k=map(int,input().split()) # a=input() # d={} # kol=0 # kolkol=0 # for i in a: # d[i]=d.get(i,0)+1 # print(d) # for i in d: # if d[i]%k==0: # kol+=1 # for i in d: # if d[i]==1: # kolkol+=1 # if kol==k or kolkol==len(d): # print('YES') # else: # print('NO') ```
4,721
[ 0.51611328125, 0.03338623046875, 0.220703125, 0.2578125, -0.70068359375, -0.52392578125, 0.1383056640625, 0.35302734375, 0.036041259765625, 0.66552734375, 0.5751953125, 0.0187835693359375, 0.1619873046875, -0.70703125, -0.54931640625, 0.0294952392578125, -0.7939453125, -0.8388671875, -0.488037109375, -0.27490234375, 0.12054443359375, 0.271240234375, -1.2333984375, -0.2646484375, -0.1046142578125, 1.0302734375, 0.2081298828125, -0.240966796875, 1.1650390625, 0.7236328125, 0.11956787109375, -0.0201416015625, 0.67529296875, -0.7275390625, -0.374755859375, -0.412353515625, 0.607421875, -0.66455078125, -0.326904296875, -0.8212890625, 0.1876220703125, -0.416015625, 0.314208984375, -0.66748046875, -1.072265625, -0.01045989990234375, -0.51025390625, -0.794921875, -0.01441192626953125, -0.7060546875, 0.0226898193359375, -0.1895751953125, 0.64892578125, -0.323486328125, -0.1651611328125, -0.1785888671875, -0.07061767578125, -0.33984375, -0.72998046875, 0.31884765625, 0.1480712890625, -0.09600830078125, -0.09417724609375, -0.89111328125, -0.167724609375, 0.22802734375, -0.01910400390625, -0.337158203125, 0.009246826171875, -0.7646484375, -0.305908203125, 0.26318359375, -0.1827392578125, -0.48779296875, -0.2386474609375, -0.181640625, 0.0296478271484375, 0.0845947265625, -0.81494140625, 0.81103515625, 0.52197265625, 0.7841796875, -0.14208984375, 0.39111328125, -0.54052734375, -0.67431640625, 0.3564453125, 0.73193359375, 0.314453125, 0.0809326171875, -0.56689453125, 0.63037109375, -0.98388671875, -0.006069183349609375, 0.360595703125, 0.634765625, 0.0819091796875, 0.474609375, -0.0269317626953125, 0.1195068359375, 0.85302734375, 0.4150390625, -0.49169921875, 1.072265625, -0.4130859375, 0.3251953125, 0.38232421875, 0.493408203125, 0.033477783203125, -0.59765625, -0.257568359375, -0.49462890625, 0.47802734375, 0.262451171875, -0.09527587890625, 0.693359375, 0.2288818359375, 0.533203125, -0.81201171875, 0.1849365234375, 0.196044921875, -0.04351806640625, 0.50048828125, -0.335205078125, -0.37939453125, -0.1934814453125, -0.289794921875, 0.9482421875, -0.67578125, -0.1502685546875, 0.38232421875, -0.1368408203125, 0.152587890625, 0.461669921875, -0.317138671875, 0.81689453125, -0.2470703125, 0.70166015625, 0.7548828125, -0.619140625, 0.6005859375, 0.09002685546875, -0.19091796875, 1.5048828125, 0.31787109375, 0.2222900390625, 0.58349609375, 0.1484375, -0.8125, 0.58544921875, -1.0322265625, 0.69091796875, 0.10430908203125, 0.40283203125, -0.286865234375, 0.091064453125, -0.07220458984375, 0.4443359375, 0.1888427734375, 0.12322998046875, -0.493896484375, 0.006992340087890625, -0.1468505859375, 0.77587890625, -0.167724609375, 0.9072265625, -0.56494140625, -0.322998046875, 0.2174072265625, -0.496337890625, 0.34716796875, 0.2293701171875, -0.1383056640625, 1.0830078125, 0.54736328125, 0.86767578125, 0.939453125, -0.105712890625, 0.59521484375, 0.71923828125, 0.116455078125, 0.6396484375, 0.2000732421875, 0.822265625, 0.76318359375, 0.42919921875, 0.0248870849609375, -0.263916015625, -0.685546875, -0.71533203125, -0.227294921875, 0.56884765625, -0.6396484375, 0.357177734375, -0.169921875, 0.117919921875, -0.5986328125, -0.161865234375, -0.0703125, -0.955078125, -0.49755859375, 0.81298828125, -0.24951171875, 0.83203125, 0.1925048828125, -0.6142578125, 0.67626953125, 1.0947265625, -0.37255859375, -0.03741455078125, 0.1473388671875, 0.315185546875, 0.00035858154296875, -0.2457275390625, -0.079345703125, -0.225830078125, -0.7783203125, 1.0302734375, -0.465576171875, 0.211669921875, -0.26416015625, 0.76416015625, 0.09527587890625, 0.74462890625, -0.7666015625, -0.45751953125, 0.34130859375, 1.0712890625, 0.270263671875, 0.21142578125, -0.1993408203125, 0.79638671875, 0.0927734375, 0.9931640625, 0.6650390625, 0.282958984375, 0.45947265625, 0.8837890625, 0.07568359375, 0.04522705078125, -0.043426513671875, 0.46923828125, 0.405029296875, 0.12445068359375, 0.4013671875, 0.28857421875, 0.2259521484375, -0.0277557373046875, -0.53515625, 0.5517578125, -0.181396484375, 1.0185546875, 0.326171875, 0.436767578125, -0.1795654296875, -0.07452392578125, 0.212890625, 0.66650390625, -0.43505859375, -0.325439453125, -0.185791015625, 0.01212310791015625, 0.67626953125, -0.0478515625, -0.0149078369140625, 0.36572265625, 0.26220703125, 0.076904296875, -0.0545654296875, -0.337158203125, -0.85888671875, -0.87841796875, -0.82080078125, -0.484375, -0.775390625, 0.08135986328125, 0.4912109375, -0.9921875, 0.322998046875, -0.05633544921875, -0.234619140625, 0.045257568359375, -0.93017578125, 0.6396484375, -0.1065673828125, 0.912109375, -0.58544921875, 0.2093505859375, 0.195068359375, 0.80810546875, -0.71337890625, -0.06597900390625, -0.023773193359375, -0.477294921875, 0.33984375, -0.1876220703125, 0.390380859375, -0.047882080078125, -0.71630859375, -1.0595703125, -0.459716796875, 0.1397705078125, -0.364501953125, 0.2088623046875, -0.448974609375, 0.400146484375, 0.6787109375, -0.6416015625, 0.2548828125, 0.861328125, -0.90380859375, 0.50341796875, 0.0679931640625, -0.08050537109375, -0.84912109375, 1.4970703125, 0.473876953125, 0.74853515625, -0.401611328125, -0.5087890625, -0.65576171875, 0.26904296875, 0.34033203125, -0.204833984375, -0.13525390625, 0.57373046875, -0.26171875, -1.1396484375, 0.318603515625, -1.0869140625, -1.0693359375, -0.0631103515625, -0.44970703125, 0.9521484375, 0.44384765625, -0.0474853515625, 0.2880859375, -0.31005859375, 0.314697265625, 0.87890625, 0.55322265625, -0.2381591796875, 0.328369140625, 0.423583984375, 0.07867431640625, 0.1763916015625, 0.2705078125, -0.190185546875, 0.13623046875, 0.053314208984375, 0.2296142578125, 0.380126953125, 0.2076416015625, 0.172607421875, 0.6328125, 0.8154296875, -0.8955078125, -0.271728515625, -0.404052734375, 0.904296875, 0.04681396484375, 0.0178070068359375, 0.408447265625, -0.154296875, -0.420166015625, -1.2744140625, 0.53662109375, 0.2454833984375, 0.469970703125, -1.177734375, 0.92578125, 0.59912109375, -0.52490234375, 0.5234375, -0.76416015625, -0.1514892578125, 0.73193359375, -0.06378173828125, 0.90380859375, -0.58837890625, 0.568359375, -0.1553955078125, 0.135986328125, 0.52734375, 0.140869140625, 0.1392822265625, -0.154296875, -0.31201171875, -0.4716796875, -0.0908203125, 0.140380859375, -0.56298828125, 0.2626953125, -0.39306640625, -0.083740234375, -0.90283203125, 0.1553955078125, 0.414306640625, 0.88232421875, 0.0328369140625, 0.2403564453125, 0.28857421875, 0.437255859375, 0.1832275390625, -0.47998046875, 0.431640625, -0.40478515625, 0.90283203125, 0.35693359375, -0.7255859375, -0.42626953125, -0.214111328125, -0.41162109375, 0.2315673828125, 0.474853515625, 0.0162200927734375, -1.0556640625, 0.0953369140625, -0.08831787109375, 0.689453125, -0.2255859375, -0.5830078125, 0.0596923828125, 0.5087890625, -0.0192718505859375, -0.82763671875, 0.456787109375, -0.33154296875, 0.54833984375, 0.363525390625, -0.2763671875, -0.08929443359375, -0.6572265625, -1.033203125, -0.30517578125, -0.0027256011962890625, 0.9052734375, -0.08734130859375, 0.144287109375, -1.14453125, 0.76513671875, 0.67236328125, 0.026458740234375, -0.08160400390625, -0.1890869140625, 0.1123046875, -0.389404296875, 0.5126953125, -0.32763671875, -0.6142578125, 0.08966064453125, -0.97607421875, 0.240966796875, -0.135498046875, 0.304931640625, -0.1087646484375, 0.131103515625, 0.3232421875, 0.40234375, -0.5205078125, 0.1610107421875, 0.0614013671875, 0.2469482421875, -0.82080078125, -0.830078125, 0.231689453125, -0.29248046875, -0.218505859375, 1.0859375, -0.009368896484375, -0.68505859375, 0.2103271484375, 0.152587890625, -0.6123046875, 0.056243896484375, -0.42041015625, 0.384521484375, -0.09130859375, -0.3232421875, 0.208984375, -0.359375, 0.75390625, -0.2098388671875, -0.62646484375, -0.348388671875, -1.0078125, 0.0772705078125, -0.274169921875, -0.68359375, 0.271240234375, -0.27880859375, -0.350341796875, -0.32666015625, -0.51025390625, -0.304931640625, 0.0076141357421875, -0.50244140625, -0.35791015625, 0.381103515625, 0.21533203125, 1.0263671875, 0.5830078125, -0.496337890625, 0.0231170654296875, -0.277099609375, 0.2237548828125, -0.5185546875, 0.0367431640625, -0.09307861328125, -0.380615234375, -0.044403076171875, 0.1773681640625, -0.0931396484375, 0.525390625, 0.54541015625, 0.301025390625, 0.92138671875, 0.26708984375, -0.58447265625, 1.16015625, -0.2288818359375, -1.0537109375, -0.59130859375, 0.461181640625, -0.062225341796875, 0.525390625, 0.2186279296875, -0.80810546875, -0.62060546875, -0.7744140625, -0.0533447265625, -0.4765625, -0.17626953125, -0.8857421875, -0.04681396484375, -0.107666015625, 0.7666015625, -0.138916015625, -0.52197265625, 0.318603515625, -0.54150390625, -0.12030029296875, -0.2366943359375, -0.95361328125, -0.70361328125, -0.3349609375, 0.10552978515625, 0.8896484375, 0.331787109375, 0.16943359375, -0.21923828125, -0.1392822265625, -0.0011987686157226562, -0.133056640625, -0.7265625, -0.50341796875, -0.70654296875, 0.3896484375, -0.0732421875, 0.162353515625, -0.7607421875, 0.39990234375, -0.896484375, 0.1962890625, -0.431640625, -0.3896484375, -0.53369140625, -0.31201171875, 0.9765625, -0.48046875, 0.160888671875, -0.5244140625, 0.1688232421875, 1.0458984375, -0.040191650390625, -0.174560546875, -0.64111328125, -0.495849609375, -1.578125, 1.2197265625, -0.73828125, 0.11993408203125, -0.830078125, -0.20263671875, 1.0341796875, -0.0074310302734375, 0.467041015625, 1.478515625, 0.037994384765625, 0.038238525390625, -0.716796875, 0.3818359375, 0.818359375, -0.63330078125, 0.08270263671875, -0.1258544921875, -0.33837890625, 0.462890625, -0.253662109375, -0.9873046875, -0.47216796875, 0.345458984375, 1.1884765625, -0.32958984375, 0.5419921875, 0.059783935546875, -0.927734375, -0.8154296875, 0.72509765625, 0.299560546875, 0.397705078125, 0.98974609375, -0.032257080078125, -0.289794921875, 0.41162109375, -0.002117156982421875, -0.1983642578125, -0.5771484375, 1.3623046875, -0.406005859375, -0.83447265625, 0.630859375, 0.66015625, -1.1591796875, -0.71435546875, -0.015045166015625, 0.1904296875, -0.3603515625, -0.57373046875, -0.20361328125, 0.501953125, -0.73681640625, 0.50537109375, 0.270263671875, -0.25927734375, 0.146484375, 0.1348876953125, 0.9599609375, -0.172607421875, 0.220458984375, 0.92431640625, -0.35009765625, -0.357421875, -0.9365234375, -0.0157318115234375, -0.2578125, -0.1385498046875, 0.697265625, -0.587890625, 0.032562255859375, 0.25439453125, -0.1766357421875, 0.7041015625, -0.428955078125, -0.405517578125, 0.0361328125, -0.79638671875, -0.399658203125, -0.259765625, 0.5126953125, -0.1246337890625, 0.1173095703125, -0.44189453125, -0.1552734375, 0.38330078125, 0.250732421875, -0.306884765625, -0.82568359375, -0.285888671875, -1.1533203125, -0.6044921875, -0.8544921875, -0.49365234375, -0.015777587890625, -0.07708740234375, 0.316162109375, -0.70703125, 0.2459716796875, 0.50634765625, -0.70068359375, 0.45458984375, -0.64794921875, 0.047576904296875, -0.440673828125, 0.08465576171875, -0.38134765625, 0.080322265625, -0.66015625, 0.06805419921875, -0.74365234375, 0.277099609375, -0.254150390625, 0.86865234375, -0.285888671875, 0.229736328125, -0.0311279296875, -0.6806640625, -0.26611328125, 0.262451171875, -0.384033203125, 0.452392578125, 0.22119140625, -0.351318359375, 0.51171875, -0.0218048095703125, -0.50439453125, -0.2181396484375, 0.5888671875, 0.76806640625, -0.26318359375, -0.32177734375, -0.255126953125, 0.423095703125, -0.77734375, 0.218017578125, -0.53857421875, 0.39404296875, -0.021942138671875, -0.270751953125, 0.7001953125, 1.0224609375, -0.351318359375, 0.1943359375, 0.154052734375, -0.085693359375, 0.201904296875, -0.29833984375, 0.3203125, 0.783203125, 0.53271484375, -0.423095703125, -0.192626953125, 0.0865478515625, -0.0185394287109375, 0.07049560546875, -0.037811279296875, -0.771484375, -0.80126953125, -0.1783447265625, -0.11279296875, 0.5390625, 0.73876953125, -0.78662109375, -0.1468505859375, 0.1029052734375, -0.5546875, 0.371826171875, -1.2998046875, -0.76318359375, 0.1246337890625, -0.1500244140625, -0.06634521484375, -0.10748291015625, -0.2445068359375, -0.228515625, 0.298095703125, 0.5048828125, -0.480712890625, 0.269775390625, -0.1878662109375, 0.419189453125, -0.10797119140625, 0.1278076171875, 0.1314697265625, 0.2352294921875, -0.5859375, -0.426513671875, 0.061614990234375, 0.79248046875, 0.50146484375, -0.043212890625, -0.431640625, 0.04388427734375, -0.1822509765625, -0.1751708984375, -0.5576171875, 0.190185546875, -0.257568359375, 0.74267578125, -0.77880859375, -0.04998779296875, -0.277099609375, 0.20703125, 0.01244354248046875, -0.484130859375, -0.5927734375, 0.95068359375, 1.0126953125, -0.087890625, 0.744140625, 0.146240234375, 0.10601806640625, -0.113037109375, 0.052703857421875, -0.11968994140625, 0.50146484375, 0.6708984375, 0.75634765625, 0.0572509765625, 0.1937255859375, 0.5849609375, -0.381591796875, -0.11553955078125, 0.41748046875, 0.271484375, 0.072998046875, 0.3681640625, -0.310546875, 0.2371826171875, -0.10797119140625, -0.46484375, 0.20556640625, -0.5029296875, -0.328369140625, 0.08587646484375, -0.432373046875, 0.55322265625, -0.75634765625, -0.0799560546875, 0.1624755859375, -0.517578125, 0.5439453125, 0.908203125, 0.452880859375, 0.26025390625, 1.1953125, 0.43310546875, 0.171630859375, 0.31982421875, 0.288330078125, 0.335693359375, -0.90625, -0.008697509765625, 0.365478515625, 0.04486083984375, -0.10418701171875, -0.378662109375, -0.92822265625, 0.309814453125, -0.389892578125, -0.5380859375, 0.285888671875, -0.8857421875, 0.225830078125, -0.4306640625, 0.7158203125, -0.2255859375, 0.286865234375, -0.037322998046875, -0.268310546875, -0.53955078125, 0.78662109375, -0.258056640625, 0.261474609375, 0.27392578125, 1.1884765625, 0.1385498046875, 1.2919921875, 0.66943359375, -0.41845703125, -0.040313720703125, -0.1064453125, -0.35009765625, -0.5546875, -0.14453125, -0.76953125, 0.037567138671875, -0.544921875, -0.63037109375, -0.283203125, 1.1640625, -0.1895751953125, -1.05078125, 0.208984375, 0.04803466796875, -0.7490234375, 0.544921875, 0.5478515625, 0.243408203125, 0.127685546875, -0.11480712890625, -0.2293701171875, -0.451416015625, -0.0226898193359375, -0.54296875, 0.364501953125, -0.51220703125, -0.76513671875, -0.54638671875, -0.94580078125, -0.0203094482421875, 0.290283203125, -0.69970703125, -0.69970703125, 0.462158203125, 0.5576171875, 0.1192626953125, 0.044342041015625, -0.2032470703125, 0.0848388671875, 0.6083984375, 0.86376953125, 0.00994873046875, 0.83984375, 0.33056640625, -0.7939453125, 0.310791015625, -0.490478515625, 0.4375, 0.14404296875, 0.33935546875, -0.20166015625, 0.5615234375, -0.849609375, -1.2734375, -0.2529296875, 0.437255859375, 0.364013671875, -0.5224609375, -0.876953125, -0.6083984375, -1.1357421875, -0.1217041015625, -0.505859375, 0.64306640625, -0.07672119140625, -0.11444091796875, 0.153564453125, -1.1884765625, 4.5078125, 0.9833984375, 0.9345703125, 0.552734375, 0.0458984375, 0.71826171875, 0.6787109375, -0.1419677734375, -0.27783203125, -0.09503173828125, 0.1629638671875, -0.0211944580078125, 0.09344482421875, 0.8134765625, 0.56201171875, 0.595703125, -0.480224609375, 0.1175537109375, -0.00502777099609375, -0.81201171875, -0.83984375, -0.08746337890625, 0.189697265625, 0.1981201171875, 0.255859375, -0.2109375, 0.302490234375, -1.00390625, -0.01108551025390625, -0.12646484375, 0.279541015625, -0.68505859375, 0.6396484375, -0.247314453125, 0.0909423828125, 0.595703125, 0.14404296875, -0.59326171875, -0.271484375, 0.01007843017578125, -0.239013671875, 0.0147705078125, 0.44775390625, -0.47412109375, 0.2220458984375, -0.07354736328125, -0.8037109375, 0.306640625, -0.1317138671875, -0.7392578125, 0.6923828125, -0.34814453125, 0.382568359375, -0.2447509765625, -0.8935546875, 0.337890625, 0.205078125, 0.033203125, -0.1416015625, 0.52587890625, 0.2113037109375, 0.2197265625, -0.053436279296875, 0.0169677734375, -1.0029296875, 0.8994140625, 0.01551055908203125, 0.476318359375, -0.354736328125, -0.153076171875, -0.319091796875, -0.365234375, -0.1400146484375, -0.035369873046875, 0.65576171875, 0.026153564453125, -0.0748291015625, 0.572265625, 0.6640625, -0.6474609375, 0.1722412109375, -0.436767578125, -0.53173828125, -0.57177734375, 0.5283203125, 0.79443359375, -0.8408203125, -0.446044921875, -0.3369140625, 0.484375, 0.853515625, 0.20947265625, 0.2423095703125, -0.59326171875, -0.5048828125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One day Kefa found n baloons. For convenience, we denote color of i-th baloon as si — lowercase letter of the Latin alphabet. Also Kefa has k friends. Friend will be upset, If he get two baloons of the same color. Kefa want to give out all baloons to his friends. Help Kefa to find out, can he give out all his baloons, such that no one of his friens will be upset — print «YES», if he can, and «NO», otherwise. Note, that Kefa's friend will not upset, if he doesn't get baloons at all. Input The first line contains two integers n and k (1 ≤ n, k ≤ 100) — the number of baloons and friends. Next line contains string s — colors of baloons. Output Answer to the task — «YES» or «NO» in a single line. You can choose the case (lower or upper) for each letter arbitrary. Examples Input 4 2 aabb Output YES Input 6 3 aacaab Output NO Note In the first sample Kefa can give 1-st and 3-rd baloon to the first friend, and 2-nd and 4-th to the second. In the second sample Kefa needs to give to all his friends baloons of color a, but one baloon will stay, thats why answer is «NO». Tags: brute force, implementation Correct Solution: ``` n, k = list(map(int, input().split())) s = list(input()) unique = set(s) count = {} for i in s: count[i] = count.get(i, 0) + 1 values = [count[c] for c in unique] values.sort(reverse=True) assign = [[] for i in range(k)] each = n//k rem = n%k for i in range(k): for j in range(each): for v in range(len(values)): if(values[v] > 0 and v not in assign[i]): assign[i].append(v) values[v] -= 1 break for v in range(len(values)): while(values[v] > 0): got = False for i in range(k): if(v not in assign[i]): assign[i].append(v) values[v] -= 1 got = True break if(got == False): break #print(assign, values) ans = True for v in range(len(values)): if(values[v] > 0): ans = False break if(ans == True): print('YES') else: print('NO') ```
4,722
[ 0.458984375, -0.0034046173095703125, 0.2257080078125, 0.245361328125, -0.689453125, -0.482666015625, 0.06597900390625, 0.30859375, 0.1998291015625, 0.70654296875, 0.57861328125, 0.032012939453125, 0.1717529296875, -0.66259765625, -0.56005859375, -0.01557159423828125, -0.83203125, -0.82177734375, -0.54931640625, -0.280517578125, 0.055816650390625, 0.25390625, -1.2451171875, -0.312255859375, -0.11187744140625, 0.923828125, 0.2259521484375, -0.177734375, 1.09765625, 0.8017578125, 0.2484130859375, 0.057769775390625, 0.7119140625, -0.72802734375, -0.437744140625, -0.363525390625, 0.5615234375, -0.650390625, -0.338623046875, -0.81591796875, 0.228271484375, -0.51416015625, 0.324951171875, -0.697265625, -1.0947265625, -0.04833984375, -0.429931640625, -0.712890625, 0.047119140625, -0.7890625, 0.032501220703125, -0.1485595703125, 0.68310546875, -0.257568359375, -0.12164306640625, -0.2247314453125, -0.0997314453125, -0.369384765625, -0.75341796875, 0.373046875, 0.1768798828125, -0.0240020751953125, -0.1533203125, -0.857421875, -0.13037109375, 0.28369140625, -0.0221099853515625, -0.30029296875, -0.02960205078125, -0.76904296875, -0.311767578125, 0.222900390625, -0.1929931640625, -0.45751953125, -0.302490234375, -0.21142578125, 0.024322509765625, 0.13330078125, -0.80810546875, 0.82763671875, 0.482421875, 0.787109375, -0.2486572265625, 0.32958984375, -0.5693359375, -0.64599609375, 0.414794921875, 0.7431640625, 0.394287109375, 0.0794677734375, -0.58349609375, 0.55419921875, -0.93408203125, 0.0028285980224609375, 0.384033203125, 0.6728515625, 0.07598876953125, 0.474609375, 0.042694091796875, 0.138427734375, 0.90673828125, 0.427490234375, -0.54833984375, 1.1083984375, -0.340087890625, 0.35791015625, 0.443359375, 0.52294921875, 0.00726318359375, -0.59814453125, -0.225341796875, -0.493896484375, 0.418701171875, 0.2447509765625, -0.0249481201171875, 0.72705078125, 0.19580078125, 0.6259765625, -0.826171875, 0.249267578125, 0.248046875, -0.03521728515625, 0.48779296875, -0.33251953125, -0.34619140625, -0.170654296875, -0.2249755859375, 0.900390625, -0.7529296875, -0.045623779296875, 0.4189453125, -0.0703125, 0.1748046875, 0.457763671875, -0.351806640625, 0.83056640625, -0.279052734375, 0.7001953125, 0.78076171875, -0.62646484375, 0.62744140625, 0.03326416015625, -0.1920166015625, 1.5234375, 0.29541015625, 0.17578125, 0.6025390625, 0.1697998046875, -0.83056640625, 0.529296875, -0.95849609375, 0.65673828125, 0.1278076171875, 0.4072265625, -0.212890625, 0.0595703125, -0.0295257568359375, 0.39697265625, 0.22607421875, 0.0748291015625, -0.45166015625, -0.0172576904296875, -0.09906005859375, 0.7685546875, -0.1417236328125, 0.85546875, -0.537109375, -0.35888671875, 0.126708984375, -0.447509765625, 0.29736328125, 0.1650390625, -0.1114501953125, 1.0859375, 0.552734375, 0.8837890625, 0.94384765625, -0.0811767578125, 0.57861328125, 0.642578125, 0.1348876953125, 0.5791015625, 0.2369384765625, 0.76611328125, 0.80615234375, 0.399658203125, 0.032867431640625, -0.347412109375, -0.673828125, -0.7578125, -0.1455078125, 0.5791015625, -0.681640625, 0.374755859375, -0.1494140625, 0.06304931640625, -0.6044921875, -0.16064453125, -0.1044921875, -0.87646484375, -0.44384765625, 0.7529296875, -0.2783203125, 0.8291015625, 0.156494140625, -0.5908203125, 0.65087890625, 1.0361328125, -0.44287109375, -0.0645751953125, 0.0389404296875, 0.291259765625, 0.0308837890625, -0.1737060546875, -0.047882080078125, -0.164794921875, -0.77099609375, 0.92236328125, -0.396240234375, 0.1995849609375, -0.263427734375, 0.67431640625, 0.11981201171875, 0.6513671875, -0.76806640625, -0.417724609375, 0.2459716796875, 1.09765625, 0.288818359375, 0.2724609375, -0.138916015625, 0.828125, 0.1436767578125, 1.01171875, 0.6611328125, 0.316162109375, 0.316162109375, 0.810546875, 0.1058349609375, 0.09149169921875, -0.090087890625, 0.434814453125, 0.381103515625, 0.1832275390625, 0.3134765625, 0.2890625, 0.2318115234375, -0.0112152099609375, -0.5693359375, 0.57080078125, -0.218017578125, 1.037109375, 0.3056640625, 0.415283203125, -0.167724609375, -0.11260986328125, 0.214599609375, 0.6474609375, -0.47314453125, -0.352783203125, -0.2364501953125, -0.0166168212890625, 0.685546875, 0.014251708984375, -0.0015859603881835938, 0.381591796875, 0.310546875, 0.09344482421875, -0.06488037109375, -0.290771484375, -0.8876953125, -0.8759765625, -0.84228515625, -0.48974609375, -0.705078125, 0.10308837890625, 0.472900390625, -1.0068359375, 0.375732421875, -0.05718994140625, -0.20361328125, 0.0124359130859375, -0.92578125, 0.65283203125, -0.08160400390625, 0.85693359375, -0.52734375, 0.237548828125, 0.14013671875, 0.86376953125, -0.78515625, -0.035797119140625, 0.03570556640625, -0.59033203125, 0.3076171875, -0.1290283203125, 0.4345703125, -0.06329345703125, -0.58447265625, -1.0830078125, -0.498046875, 0.1319580078125, -0.3076171875, 0.16845703125, -0.457275390625, 0.452392578125, 0.80322265625, -0.6728515625, 0.269287109375, 0.9208984375, -0.8359375, 0.53173828125, 0.050140380859375, -0.04705810546875, -0.78759765625, 1.3623046875, 0.4833984375, 0.79638671875, -0.491455078125, -0.5234375, -0.64208984375, 0.241455078125, 0.32080078125, -0.2259521484375, -0.1849365234375, 0.51416015625, -0.288818359375, -1.046875, 0.310791015625, -1.048828125, -1.021484375, -0.03692626953125, -0.47900390625, 0.84716796875, 0.52783203125, -0.07611083984375, 0.314208984375, -0.307373046875, 0.245361328125, 0.85302734375, 0.60546875, -0.16064453125, 0.29931640625, 0.431640625, 0.1138916015625, 0.1014404296875, 0.3955078125, -0.343994140625, 0.1683349609375, 0.0869140625, 0.1925048828125, 0.455810546875, 0.243408203125, 0.213623046875, 0.634765625, 0.88330078125, -0.84765625, -0.2095947265625, -0.324462890625, 0.923828125, 0.021453857421875, 0.136474609375, 0.408203125, -0.2471923828125, -0.4140625, -1.26171875, 0.486083984375, 0.2529296875, 0.416748046875, -1.3056640625, 0.84130859375, 0.6162109375, -0.47021484375, 0.47314453125, -0.68896484375, -0.12408447265625, 0.72802734375, -0.093994140625, 0.9541015625, -0.57568359375, 0.498291015625, -0.10858154296875, 0.1839599609375, 0.505859375, 0.13916015625, 0.09356689453125, -0.191650390625, -0.294921875, -0.38720703125, -0.06585693359375, 0.09747314453125, -0.53759765625, 0.225341796875, -0.32958984375, -0.0882568359375, -0.85595703125, 0.1429443359375, 0.3623046875, 0.8515625, 0.058135986328125, 0.302734375, 0.314697265625, 0.4072265625, 0.1951904296875, -0.46923828125, 0.467529296875, -0.45263671875, 0.86669921875, 0.37548828125, -0.71923828125, -0.55126953125, -0.16845703125, -0.43359375, 0.2392578125, 0.45703125, 0.0031375885009765625, -1.1015625, 0.145751953125, -0.07440185546875, 0.689453125, -0.1832275390625, -0.54443359375, 0.05242919921875, 0.515625, -0.07073974609375, -0.86669921875, 0.407470703125, -0.38720703125, 0.537109375, 0.413818359375, -0.328125, -0.06878662109375, -0.72265625, -1.009765625, -0.32470703125, -0.08856201171875, 0.88525390625, -0.093505859375, 0.1341552734375, -1.181640625, 0.76123046875, 0.6474609375, 0.01171112060546875, -0.0408935546875, -0.1612548828125, 0.1494140625, -0.378173828125, 0.5400390625, -0.303466796875, -0.58544921875, 0.036529541015625, -1.0146484375, 0.21142578125, -0.0709228515625, 0.232177734375, -0.157470703125, 0.257080078125, 0.2822265625, 0.46142578125, -0.5341796875, 0.10235595703125, -0.0246124267578125, 0.266357421875, -0.890625, -0.7880859375, 0.216064453125, -0.33154296875, -0.2242431640625, 1.080078125, -0.06182861328125, -0.7412109375, 0.28515625, 0.252685546875, -0.56982421875, -0.01904296875, -0.3759765625, 0.3671875, -0.123291015625, -0.329833984375, 0.2362060546875, -0.344482421875, 0.771484375, -0.1396484375, -0.62939453125, -0.34912109375, -0.96826171875, 0.0107269287109375, -0.2335205078125, -0.7548828125, 0.371337890625, -0.300537109375, -0.423583984375, -0.311767578125, -0.431884765625, -0.257568359375, -0.0255584716796875, -0.47314453125, -0.394287109375, 0.378662109375, 0.305419921875, 1.080078125, 0.5703125, -0.50732421875, 0.08416748046875, -0.261474609375, 0.2369384765625, -0.55322265625, -0.07415771484375, -0.0341796875, -0.295166015625, -0.1324462890625, 0.212158203125, -0.07940673828125, 0.52587890625, 0.5068359375, 0.306396484375, 0.90478515625, 0.2308349609375, -0.61669921875, 1.1318359375, -0.1717529296875, -1.001953125, -0.5244140625, 0.435302734375, -0.08184814453125, 0.49267578125, 0.22900390625, -0.81298828125, -0.56982421875, -0.74658203125, -0.12249755859375, -0.4580078125, -0.137451171875, -0.85791015625, -0.08349609375, -0.1082763671875, 0.78955078125, -0.1309814453125, -0.6142578125, 0.25634765625, -0.54345703125, -0.08343505859375, -0.32177734375, -0.94091796875, -0.6650390625, -0.293212890625, 0.111572265625, 0.90478515625, 0.2298583984375, 0.160888671875, -0.177734375, -0.1474609375, 0.0031147003173828125, -0.1068115234375, -0.75732421875, -0.44873046875, -0.7119140625, 0.342041015625, -0.1466064453125, 0.267822265625, -0.78564453125, 0.388427734375, -0.93359375, 0.116455078125, -0.447265625, -0.280517578125, -0.52001953125, -0.282958984375, 0.99853515625, -0.441650390625, 0.1424560546875, -0.56201171875, 0.1900634765625, 1.0634765625, -0.11505126953125, -0.149169921875, -0.529296875, -0.59228515625, -1.556640625, 1.2275390625, -0.7353515625, 0.144775390625, -0.8505859375, -0.1424560546875, 1.1103515625, -0.1160888671875, 0.529296875, 1.4912109375, 0.038818359375, 0.1038818359375, -0.69287109375, 0.321044921875, 0.7939453125, -0.59814453125, -0.0161285400390625, -0.11102294921875, -0.39306640625, 0.4482421875, -0.1712646484375, -0.9912109375, -0.4375, 0.243896484375, 1.2119140625, -0.369140625, 0.5791015625, -0.0426025390625, -0.86767578125, -0.7880859375, 0.71826171875, 0.297119140625, 0.3896484375, 0.92822265625, -0.0053863525390625, -0.265380859375, 0.249267578125, 0.0080718994140625, -0.1864013671875, -0.55517578125, 1.2919921875, -0.461669921875, -0.80322265625, 0.67236328125, 0.65380859375, -1.15625, -0.7392578125, -0.07177734375, 0.145751953125, -0.293701171875, -0.6591796875, -0.21826171875, 0.54248046875, -0.80615234375, 0.59716796875, 0.364501953125, -0.297119140625, 0.1290283203125, 0.1336669921875, 0.81298828125, -0.1795654296875, 0.2198486328125, 0.919921875, -0.29248046875, -0.42578125, -0.98828125, -0.024505615234375, -0.240234375, -0.142333984375, 0.73095703125, -0.51220703125, 0.05462646484375, 0.2734375, -0.08349609375, 0.7021484375, -0.372314453125, -0.39990234375, 0.10504150390625, -0.84521484375, -0.453857421875, -0.310546875, 0.60009765625, -0.1468505859375, 0.1270751953125, -0.39990234375, -0.09027099609375, 0.386474609375, 0.310546875, -0.30615234375, -0.94580078125, -0.33740234375, -1.181640625, -0.67333984375, -0.82421875, -0.509765625, -0.07135009765625, -0.1470947265625, 0.270263671875, -0.677734375, 0.190185546875, 0.53857421875, -0.70263671875, 0.341552734375, -0.7138671875, 0.0197296142578125, -0.400634765625, 0.0126800537109375, -0.396728515625, 0.09259033203125, -0.62158203125, 0.08056640625, -0.765625, 0.27197265625, -0.2646484375, 0.89111328125, -0.19677734375, 0.2308349609375, -0.08966064453125, -0.728515625, -0.287353515625, 0.26611328125, -0.3486328125, 0.43798828125, 0.2176513671875, -0.44921875, 0.51220703125, -0.0753173828125, -0.48193359375, -0.199462890625, 0.64404296875, 0.71875, -0.226318359375, -0.328125, -0.24853515625, 0.42724609375, -0.74267578125, 0.20556640625, -0.50244140625, 0.404296875, 0.03057861328125, -0.253662109375, 0.61083984375, 0.99365234375, -0.392333984375, 0.2314453125, 0.238525390625, -0.11346435546875, 0.29541015625, -0.28076171875, 0.341064453125, 0.78271484375, 0.42236328125, -0.43017578125, -0.2440185546875, 0.055694580078125, 0.00791168212890625, 0.156005859375, -0.11700439453125, -0.70068359375, -0.66064453125, -0.25341796875, -0.10931396484375, 0.56201171875, 0.677734375, -0.75927734375, -0.1541748046875, 0.059234619140625, -0.568359375, 0.318603515625, -1.3515625, -0.7958984375, 0.173095703125, -0.156982421875, -0.04443359375, -0.1527099609375, -0.2900390625, -0.215087890625, 0.295654296875, 0.45166015625, -0.62109375, 0.290283203125, -0.2127685546875, 0.387451171875, -0.14404296875, 0.179931640625, 0.16357421875, 0.2220458984375, -0.60107421875, -0.40478515625, 0.1279296875, 0.77197265625, 0.449462890625, -0.0548095703125, -0.408935546875, 0.0738525390625, -0.180908203125, -0.1282958984375, -0.56591796875, 0.1470947265625, -0.2900390625, 0.72119140625, -0.77880859375, -0.10894775390625, -0.2705078125, 0.209716796875, 0.0579833984375, -0.436767578125, -0.57421875, 0.9287109375, 0.9072265625, -0.081787109375, 0.7080078125, 0.10894775390625, 0.1484375, -0.0849609375, 0.07794189453125, -0.130615234375, 0.57275390625, 0.60595703125, 0.8193359375, -0.033050537109375, 0.107177734375, 0.6123046875, -0.323974609375, -0.12261962890625, 0.465576171875, 0.1790771484375, 0.014129638671875, 0.40234375, -0.35791015625, 0.042205810546875, -0.05712890625, -0.50439453125, 0.27099609375, -0.52587890625, -0.311767578125, 0.0841064453125, -0.491455078125, 0.51025390625, -0.6787109375, -0.09564208984375, 0.149658203125, -0.58837890625, 0.53857421875, 0.88037109375, 0.417236328125, 0.17626953125, 1.1279296875, 0.440673828125, 0.10638427734375, 0.372314453125, 0.27880859375, 0.33203125, -0.8427734375, -0.0509033203125, 0.292236328125, 0.08502197265625, -0.1622314453125, -0.4619140625, -0.97314453125, 0.232177734375, -0.4267578125, -0.61376953125, 0.3271484375, -0.90283203125, 0.171875, -0.39306640625, 0.5869140625, -0.253662109375, 0.355224609375, -0.0017080307006835938, -0.16748046875, -0.52685546875, 0.763671875, -0.2393798828125, 0.2724609375, 0.2783203125, 1.177734375, 0.1639404296875, 1.3095703125, 0.61865234375, -0.45263671875, -0.08203125, -0.03997802734375, -0.3486328125, -0.5390625, -0.2232666015625, -0.6845703125, 0.06536865234375, -0.5146484375, -0.607421875, -0.2398681640625, 1.1826171875, -0.12457275390625, -1.0927734375, 0.238037109375, 0.10198974609375, -0.802734375, 0.58349609375, 0.6796875, 0.226806640625, 0.09234619140625, -0.1907958984375, -0.2108154296875, -0.447509765625, 0.0164642333984375, -0.572265625, 0.434326171875, -0.48779296875, -0.73291015625, -0.6005859375, -0.91650390625, -0.07232666015625, 0.119384765625, -0.7490234375, -0.71142578125, 0.460205078125, 0.55322265625, 0.18408203125, 0.0494384765625, -0.293701171875, 0.1199951171875, 0.7119140625, 0.90380859375, 0.0196533203125, 0.71826171875, 0.2166748046875, -0.67529296875, 0.33349609375, -0.41796875, 0.51513671875, 0.10943603515625, 0.37890625, -0.266845703125, 0.54541015625, -0.82958984375, -1.2109375, -0.265869140625, 0.443603515625, 0.34619140625, -0.4580078125, -0.91943359375, -0.60498046875, -1.134765625, -0.13232421875, -0.51318359375, 0.69775390625, -0.06640625, -0.11712646484375, 0.10162353515625, -1.17578125, 4.52734375, 0.96337890625, 0.94140625, 0.6748046875, 0.06060791015625, 0.744140625, 0.697265625, -0.1298828125, -0.1689453125, -0.1082763671875, 0.09197998046875, -0.10113525390625, 0.09063720703125, 0.8359375, 0.4736328125, 0.6181640625, -0.495849609375, 0.150634765625, 0.01384735107421875, -0.783203125, -0.81591796875, -0.09820556640625, 0.21533203125, 0.264892578125, 0.293212890625, -0.263671875, 0.3203125, -1.01171875, 0.004291534423828125, -0.0491943359375, 0.2476806640625, -0.63720703125, 0.76953125, -0.2437744140625, 0.155517578125, 0.66650390625, 0.202392578125, -0.450439453125, -0.26220703125, -0.0955810546875, -0.274658203125, 0.029266357421875, 0.39453125, -0.51171875, 0.15234375, -0.0237884521484375, -0.7626953125, 0.19580078125, -0.10235595703125, -0.71875, 0.70068359375, -0.367919921875, 0.373046875, -0.27001953125, -0.8583984375, 0.40478515625, 0.19189453125, 0.071533203125, -0.1937255859375, 0.58984375, 0.1787109375, 0.2391357421875, 0.0121307373046875, 0.08758544921875, -0.9521484375, 0.85107421875, 0.006336212158203125, 0.49267578125, -0.2685546875, -0.1485595703125, -0.320556640625, -0.32080078125, -0.126953125, -0.075927734375, 0.6005859375, 0.06976318359375, -0.06121826171875, 0.66162109375, 0.65234375, -0.728515625, 0.12042236328125, -0.50634765625, -0.47802734375, -0.60693359375, 0.49658203125, 0.8505859375, -0.83349609375, -0.378173828125, -0.384765625, 0.47607421875, 0.76123046875, 0.2025146484375, 0.2298583984375, -0.490966796875, -0.478271484375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Tags: implementation Correct Solution: ``` def rhyme(a,b,k): v=["a","e","i","o","u"] i_a=None i_b=None v_a=0 v_b=0 for i in range(len(a)-1,-1,-1): if a[i] in v: v_a+=1 if v_a==k: i_a=i break for i in range(len(b)-1,-1,-1): if b[i] in v: v_b+=1 if v_b==k: i_b=i break if i_a!=None and i_b != None and a[i_a:]==b[i_b:]: return True return False def main(arr,k): style={0:"aabb",1:"abab",2:"abba",3:'aaaa'} ans=[] for j in range(4): c=True for i in range(len(arr)): q=arr[i] if j==0: if rhyme(q[0],q[1],k) and rhyme(q[2],q[3],k): continue else: c=False break if j==1: if rhyme(q[0],q[2],k) and rhyme(q[1],q[3],k): continue else: c=False break if j==2: if rhyme(q[0],q[3],k) and rhyme(q[1],q[2],k): continue else: c=False break if j==3: if rhyme(q[0],q[1],k) and rhyme(q[1],q[2],k) and rhyme(q[2],q[3],k): continue else: c=False break if c: ans.append(j) if 3 in ans: return style[3] elif len(ans)>=1: return style[ans[0]] else: return "NO" n,k=list(map(int,input().split())) arr=[] for i in range(n): temp=[] for j in range(4): temp.append(input()) arr.append(temp) print(main(arr,k)) ```
5,220
[ 0.1104736328125, 0.1304931640625, 0.0163421630859375, 0.03863525390625, -0.48388671875, -0.1300048828125, -0.1387939453125, -0.0177459716796875, 0.0850830078125, 0.73828125, 0.1878662109375, 0.07379150390625, 0.162109375, -0.8173828125, -0.62060546875, -0.10430908203125, -0.544921875, -0.8076171875, -0.299560546875, 0.18505859375, 0.0811767578125, 0.1558837890625, -1.259765625, -0.0501708984375, 0.05615234375, 0.81689453125, 0.5732421875, 0.234619140625, 1.47265625, 0.96435546875, 0.1204833984375, -0.353515625, 0.44970703125, -1.1162109375, -0.1436767578125, -0.16357421875, 0.470947265625, -0.325439453125, -0.30419921875, -0.92822265625, 0.5166015625, -0.228515625, 0.59375, -0.485595703125, -0.8291015625, -0.201416015625, -0.2252197265625, -0.60986328125, 0.06353759765625, -0.35498046875, 0.1566162109375, -0.6220703125, 0.8232421875, -0.308837890625, -0.0889892578125, -0.288818359375, -0.1885986328125, 0.01137542724609375, -0.5380859375, 0.1920166015625, 0.12188720703125, 0.3359375, -0.53125, -0.45263671875, -0.40283203125, 0.50830078125, 0.0240631103515625, -0.200439453125, -0.152587890625, -0.685546875, -0.09564208984375, 0.0279541015625, -0.24169921875, -0.59716796875, -0.89013671875, -0.030059814453125, -0.0128326416015625, -0.213623046875, -0.00861358642578125, 0.84814453125, 0.2449951171875, 0.56103515625, 0.0625, 0.6279296875, -0.61962890625, -0.76513671875, -0.2451171875, -0.04315185546875, 0.341796875, -0.487548828125, -0.337890625, 0.78564453125, -0.3623046875, 0.041748046875, 0.6298828125, 0.55810546875, -0.1688232421875, 0.64111328125, 0.8115234375, 0.80029296875, 0.62255859375, 0.70703125, 0.08935546875, 0.7666015625, -0.646484375, 0.129638671875, -0.255859375, 0.2030029296875, 0.08465576171875, -0.349609375, -0.2386474609375, -0.16015625, 0.209228515625, 0.49560546875, -0.1461181640625, 0.56689453125, -0.357666015625, 0.318115234375, -1.08203125, -0.151123046875, 0.484375, 0.6318359375, 0.1514892578125, 0.048065185546875, 0.38525390625, -0.552734375, -0.70849609375, 1.076171875, -0.8212890625, -0.0604248046875, 0.1080322265625, -0.27001953125, -0.09698486328125, 0.012847900390625, -0.1158447265625, 0.291748046875, -0.070556640625, 0.69677734375, 0.7978515625, -0.716796875, 0.69287109375, -0.350830078125, 0.0078125, 1.419921875, 0.59521484375, 0.3779296875, 0.6259765625, 0.345458984375, -1.2451171875, 0.189453125, -0.287841796875, 0.6044921875, 0.0011701583862304688, 0.0098876953125, -0.456298828125, 0.0654296875, -0.09307861328125, 0.436279296875, -0.00792694091796875, 0.272216796875, -0.383544921875, 0.1712646484375, -0.265625, 0.66943359375, -0.5, 0.8408203125, -0.1561279296875, -0.341796875, 0.19580078125, -0.72216796875, 0.5068359375, -0.1646728515625, -0.343994140625, 0.80615234375, 0.423828125, 0.70849609375, 0.7890625, -0.7763671875, 0.783203125, 0.03790283203125, 0.00646209716796875, 0.0855712890625, 0.2352294921875, 0.73388671875, 0.1275634765625, 0.1260986328125, 0.048797607421875, -0.52490234375, -0.98193359375, -0.473876953125, -0.03375244140625, 0.69287109375, -0.3984375, 0.2216796875, 0.468505859375, -0.08056640625, -0.86474609375, -0.464599609375, 0.07806396484375, -0.75390625, -0.587890625, 1.10546875, -0.06378173828125, 0.560546875, -0.1728515625, -0.57080078125, 0.1490478515625, 1.2705078125, 0.006195068359375, 0.1943359375, 0.42724609375, 0.04168701171875, -0.135986328125, 0.335205078125, 0.09906005859375, -0.0285186767578125, -0.322021484375, 0.7099609375, -0.1729736328125, 0.01396942138671875, -0.353271484375, 0.533203125, 0.2069091796875, 0.302978515625, -0.68310546875, -0.27685546875, 0.356201171875, 1.1591796875, 0.119384765625, 0.446044921875, 0.422119140625, 0.95263671875, 0.5419921875, 1.0234375, 0.41845703125, 0.195556640625, 0.513671875, 0.8662109375, 0.224609375, 0.2283935546875, 0.281005859375, 0.45361328125, 0.452392578125, 0.451904296875, 0.51220703125, 0.1688232421875, -0.454345703125, 0.0601806640625, -0.54736328125, 0.66357421875, -0.11590576171875, 0.94091796875, 0.2783203125, 0.69921875, -0.5654296875, -0.447509765625, -0.053253173828125, 0.51708984375, -0.5302734375, -0.93359375, -0.095458984375, 0.18994140625, 0.298828125, -0.2388916015625, 0.2200927734375, 0.40087890625, 0.6689453125, 0.9130859375, -0.04473876953125, -0.09234619140625, -0.75146484375, -0.97216796875, -1.2138671875, -0.1917724609375, -0.209716796875, 0.0144195556640625, 0.7138671875, -1.09375, 0.2763671875, 0.056915283203125, 0.0843505859375, 0.29248046875, -0.953125, 0.36572265625, -0.459228515625, 0.52490234375, -1.0341796875, 0.9013671875, -0.259033203125, 1.0615234375, -0.443359375, -0.2117919921875, -0.1134033203125, -0.56591796875, 0.69189453125, -0.1798095703125, 0.156005859375, 0.132568359375, -0.55126953125, -0.80615234375, -0.458251953125, -0.54150390625, -0.494384765625, 0.521484375, -0.60546875, 1.1123046875, 0.181884765625, -0.9541015625, 0.44921875, 0.5625, -0.978515625, 0.4169921875, 0.463623046875, 0.5947265625, -0.59765625, 1.603515625, 0.72265625, 0.41748046875, -0.54736328125, -0.310791015625, -0.418212890625, -0.200927734375, 0.06805419921875, -0.233154296875, -0.352783203125, 0.52392578125, 0.42138671875, -1.0615234375, 0.252685546875, -1.1689453125, -0.2919921875, -0.01500701904296875, -0.81640625, 1.1962890625, 0.6181640625, 0.247314453125, -0.59619140625, -0.27587890625, -0.1912841796875, 0.90478515625, 0.302734375, -0.29443359375, 0.1776123046875, 0.515625, -0.04827880859375, -0.0012350082397460938, 0.06353759765625, -0.73193359375, -0.04608154296875, 0.038848876953125, -0.324951171875, 0.998046875, 0.62060546875, -0.2001953125, 0.09490966796875, 0.63330078125, -0.685546875, -0.44580078125, -0.159912109375, 0.63232421875, -0.0723876953125, 0.548828125, 0.8974609375, -0.2188720703125, -0.397705078125, -1.1728515625, 0.703125, 0.142822265625, 0.8369140625, -0.88427734375, 0.640625, 0.57470703125, -0.55712890625, 0.354248046875, -0.89013671875, -0.01221466064453125, 0.98828125, -0.2042236328125, 0.7294921875, -1.1962890625, 0.164306640625, -0.011383056640625, 0.2286376953125, 0.6259765625, 0.353759765625, 0.85107421875, -0.2484130859375, -0.361328125, -0.1505126953125, 0.0168304443359375, -0.1837158203125, -0.595703125, 0.2100830078125, -0.7470703125, -0.259765625, -0.8486328125, 0.460693359375, 0.6787109375, 0.362548828125, -0.38671875, 0.302001953125, 0.444580078125, 0.859375, 0.6943359375, -0.17041015625, -0.165283203125, -0.80029296875, 0.48291015625, -0.0134124755859375, -0.3642578125, -0.5341796875, -0.693359375, -0.7216796875, -0.213134765625, 0.4033203125, -0.0670166015625, -1.109375, 0.09002685546875, -0.268798828125, 0.51025390625, -0.5732421875, -0.359619140625, -0.15380859375, 0.322021484375, 0.24951171875, -0.7177734375, 0.271484375, -1.1357421875, 0.54443359375, 0.61474609375, -0.6953125, -0.261474609375, -0.4853515625, -0.70166015625, -0.640625, 0.06451416015625, 0.796875, -0.0958251953125, 0.61279296875, -0.97607421875, 0.73681640625, 0.259765625, -0.50390625, 0.1937255859375, 0.263916015625, 0.14306640625, -0.09503173828125, 0.9013671875, -0.57470703125, -0.580078125, 0.83740234375, -1.08203125, -0.125732421875, -0.67333984375, 0.1837158203125, -0.355224609375, -0.2841796875, -0.04022216796875, 0.358642578125, 0.09710693359375, 0.25830078125, 0.2325439453125, 0.29443359375, -0.57568359375, -0.93798828125, 0.481689453125, 0.1697998046875, -0.376953125, 0.78759765625, 0.0074462890625, -0.5419921875, 0.1627197265625, 0.264892578125, -0.53564453125, 0.83203125, -0.8232421875, 0.384033203125, -0.166748046875, -0.60888671875, -0.379150390625, -0.49365234375, 0.68310546875, 0.157958984375, -0.61376953125, -0.25634765625, -0.8017578125, -0.316650390625, -0.448486328125, -1.12109375, 0.369873046875, 0.222412109375, -0.393310546875, -0.11798095703125, -0.1846923828125, -0.3212890625, -0.5224609375, -0.3583984375, -0.619140625, 0.5556640625, 0.203369140625, 0.703125, -0.031463623046875, -0.301025390625, 0.01384735107421875, 0.041473388671875, 0.1639404296875, -0.587890625, -0.05499267578125, 0.2763671875, -0.50634765625, -0.037261962890625, 0.242919921875, 0.27783203125, 0.13134765625, 0.60595703125, 0.0296783447265625, 0.52685546875, 0.458251953125, -0.603515625, 1.2421875, 0.56884765625, -1.166015625, 0.11383056640625, 0.44775390625, 0.12646484375, 1.1279296875, 0.0648193359375, -0.26171875, -0.51318359375, -0.89013671875, -0.279052734375, -0.65673828125, -0.0147857666015625, -0.57568359375, 0.10626220703125, -0.36962890625, 0.9716796875, -0.052642822265625, -0.346435546875, 0.0693359375, -1.509765625, 0.2181396484375, -0.689453125, -0.208984375, -0.73828125, -0.01123809814453125, -0.1695556640625, 1.04296875, -0.24462890625, 0.50146484375, 0.52587890625, -0.41455078125, 0.016693115234375, -0.394775390625, -0.50341796875, -0.6103515625, 0.23583984375, -0.08221435546875, -0.2666015625, 0.051727294921875, -0.7138671875, 0.88623046875, -1.15234375, -0.314453125, -0.5986328125, -0.046905517578125, -0.0655517578125, -0.0802001953125, 1.3623046875, -0.290283203125, -0.324951171875, -0.6748046875, 0.54736328125, 0.64697265625, -0.35986328125, -0.74169921875, -0.67236328125, -0.423095703125, -1.1591796875, 0.4130859375, -0.669921875, 0.04278564453125, -0.8046875, -0.33837890625, 0.95947265625, -0.191650390625, 0.1666259765625, 1.2353515625, -0.198486328125, -0.0045928955078125, -0.5673828125, 0.8642578125, 0.27783203125, -0.425537109375, -0.114501953125, 0.00836944580078125, -0.6845703125, 0.6591796875, -0.57275390625, -1.0615234375, -0.322509765625, 0.6005859375, 1.01953125, -0.481689453125, 0.64013671875, 0.151611328125, -0.86328125, -0.57470703125, 1.0048828125, 0.0266876220703125, -0.02728271484375, 0.95458984375, -0.5986328125, -0.325439453125, -0.1611328125, -0.22412109375, -0.134521484375, -0.429443359375, 1.125, -0.462158203125, -0.6123046875, 0.81396484375, 0.533203125, -1.3330078125, -0.78515625, -0.224853515625, 0.2364501953125, 0.0999755859375, -0.50439453125, 0.3486328125, 1.029296875, -0.5546875, 0.2548828125, 0.7685546875, 0.05670166015625, 0.62353515625, -0.05743408203125, 0.32861328125, -0.32861328125, 0.397216796875, 0.904296875, -0.66015625, -0.4111328125, -0.5830078125, 0.09967041015625, -0.420654296875, 0.3125, 0.65625, -0.54443359375, -0.051116943359375, 0.62353515625, 0.1343994140625, 0.84765625, -0.58642578125, -0.11724853515625, 0.50244140625, -0.6103515625, -0.64501953125, 0.003192901611328125, 0.51708984375, 0.1156005859375, 0.2548828125, -0.6279296875, 0.0192718505859375, 0.177001953125, 0.5634765625, -0.73046875, -0.93994140625, -0.61669921875, -0.92919921875, -0.3466796875, -0.32177734375, -0.2939453125, 0.11114501953125, 0.4306640625, 0.069091796875, -0.896484375, 0.124755859375, 0.39892578125, -0.6474609375, 0.97412109375, -1.0439453125, 0.09564208984375, -0.57080078125, 0.0200958251953125, -0.56689453125, -0.353759765625, -0.28515625, -0.093505859375, -0.56689453125, 0.1309814453125, 0.09844970703125, 0.462646484375, 0.0609130859375, 0.492919921875, 0.052581787109375, -0.345703125, 0.1019287109375, 0.310302734375, -0.1080322265625, 1.048828125, 0.333740234375, 0.194580078125, 0.62744140625, 0.049224853515625, -0.6064453125, -0.32275390625, 0.2890625, 0.759765625, -0.274658203125, -0.41796875, -0.89990234375, 0.10809326171875, -1.1640625, 0.203857421875, -0.568359375, -0.037506103515625, 0.135009765625, -0.2379150390625, 0.098388671875, 1.419921875, -0.270263671875, 0.3388671875, 0.447998046875, 0.052734375, 0.093994140625, 0.33642578125, -0.14404296875, 0.392822265625, 0.49072265625, -0.3603515625, 0.2269287109375, 0.339111328125, -0.1693115234375, 0.454345703125, -0.53955078125, -0.6630859375, -0.8486328125, -0.01473236083984375, -0.0882568359375, 0.5244140625, 0.454345703125, -0.52294921875, -0.45703125, -0.377685546875, -0.5732421875, 0.1851806640625, -1.0576171875, -0.86572265625, 0.459228515625, -0.2109375, -0.2440185546875, 0.26708984375, -0.5703125, -0.2398681640625, 0.156494140625, 0.3134765625, -0.818359375, 0.7216796875, -0.287841796875, 0.036376953125, -0.11083984375, 0.11773681640625, 0.395751953125, -0.0250701904296875, -0.94091796875, -0.6484375, 0.41552734375, 1.0166015625, 0.77587890625, 0.325439453125, -0.309326171875, -0.0271759033203125, -0.375244140625, 0.15087890625, -0.43408203125, 0.426513671875, -0.007472991943359375, 0.2958984375, -0.8798828125, -0.4130859375, 0.06842041015625, 0.37451171875, 0.17138671875, -0.1409912109375, -0.463134765625, 0.5322265625, 0.55517578125, 0.10516357421875, 1.208984375, 0.09210205078125, 0.96875, 0.275146484375, -0.08941650390625, -0.43603515625, 0.53076171875, 0.384521484375, 0.353271484375, -0.70556640625, 0.57861328125, 0.841796875, -0.03497314453125, -0.00701904296875, 0.6826171875, 0.422607421875, -0.34423828125, 0.058990478515625, -0.1717529296875, 0.05316162109375, 0.80078125, -0.6611328125, 0.39208984375, -0.154296875, -0.2529296875, -0.09368896484375, -0.56787109375, 0.6474609375, -0.291259765625, -0.049346923828125, -0.56103515625, -0.369140625, 0.466796875, 0.481689453125, 0.466064453125, 0.0830078125, 1.0439453125, 0.88916015625, 0.1119384765625, 0.478271484375, 0.279296875, 0.6787109375, -0.6328125, 0.2491455078125, 0.430419921875, 0.270263671875, -0.6123046875, -0.5078125, -0.98876953125, 0.73876953125, -0.84228515625, -0.27392578125, 0.88720703125, -0.77099609375, -0.04425048828125, -0.4326171875, 0.51416015625, -0.70166015625, 0.509765625, 0.333740234375, -0.212890625, -0.53759765625, 0.58154296875, -0.53076171875, 0.281494140625, 0.6669921875, 0.861328125, -0.1556396484375, 1.3935546875, 0.427734375, -0.1776123046875, -0.10626220703125, -0.067138671875, -0.21826171875, -0.439208984375, -0.306396484375, -0.404541015625, 0.0726318359375, -0.5263671875, -0.487548828125, -0.1715087890625, 0.306884765625, -0.31494140625, -0.9833984375, -0.5087890625, 0.2392578125, -0.90234375, 0.3837890625, -0.1500244140625, -0.2939453125, 0.1328125, -0.41552734375, -0.52490234375, -0.341796875, 0.0291900634765625, -0.43798828125, 0.89306640625, -0.4765625, -0.7392578125, -0.63525390625, -0.53271484375, -0.255859375, 0.2685546875, -0.56396484375, -0.77685546875, 0.00788116455078125, 0.67919921875, 0.2279052734375, 0.14453125, -0.5341796875, 0.0018014907836914062, 1.017578125, 0.87158203125, 0.349365234375, 0.69287109375, 0.58349609375, -0.2362060546875, 0.1551513671875, -0.54736328125, 0.71240234375, -0.1767578125, -0.0584716796875, -0.036407470703125, 0.284423828125, -0.65234375, -1.109375, 0.09185791015625, 0.5849609375, 0.078369140625, -0.93603515625, -1.5869140625, -0.436279296875, -0.87841796875, -0.05731201171875, -0.5625, 0.44287109375, 0.703125, -0.021148681640625, -0.14306640625, -1.025390625, 4.296875, 0.8271484375, 0.73046875, 0.51611328125, 0.2252197265625, 0.95849609375, 0.55859375, -0.474853515625, -0.1488037109375, -0.89404296875, 0.349609375, -0.61181640625, 0.2406005859375, 0.414794921875, 0.5634765625, 0.7119140625, -0.264404296875, 0.10260009765625, -0.0024013519287109375, -0.71337890625, -1.18359375, -0.12255859375, 0.06341552734375, 0.376220703125, -0.26123046875, 0.423583984375, 0.5732421875, -0.580078125, -0.0157470703125, -0.935546875, -0.0186920166015625, -0.431396484375, 0.84228515625, -0.171142578125, -0.07318115234375, 0.65869140625, -0.0004189014434814453, -0.57421875, -0.1806640625, 0.30859375, -0.296142578125, 0.1571044921875, 0.64111328125, -0.56103515625, -0.10699462890625, 0.42919921875, -0.1553955078125, 0.29296875, 0.2646484375, -0.97998046875, 1.029296875, 0.025146484375, 0.451171875, -0.413330078125, -0.85302734375, -0.02020263671875, 0.2498779296875, -0.30859375, 0.1273193359375, 0.259033203125, -0.057891845703125, 0.05841064453125, -0.1705322265625, 0.8837890625, -0.830078125, 0.8408203125, -0.243896484375, 0.1007080078125, -0.1610107421875, 0.01229095458984375, 0.2432861328125, -0.01200103759765625, -0.31689453125, -0.5625, 0.55419921875, 0.230712890625, -0.9169921875, 0.68603515625, 0.7509765625, -0.418212890625, 0.5966796875, -0.71044921875, -0.425537109375, -0.1536865234375, 0.6201171875, 1.0849609375, -0.77734375, -0.57470703125, -0.62744140625, 0.45166015625, 0.59814453125, 0.29443359375, 0.00812530517578125, -0.2275390625, -0.53125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Tags: implementation Correct Solution: ``` #from bisect import bisect_left as bl #c++ lowerbound bl(array,element) #from bisect import bisect_right as br #c++ upperbound br(array,element) #from __future__ import print_function, division #while using python2 # from itertools import accumulate # from collections import defaultdict, Counter def modinv(n,p): return pow(n,p-2,p) def get_suffix(s, k): vovels = "aeiou" for i in range(len(s)-1, -1, -1): if s[i] in vovels: k -= 1 if k == 0: return s[i:] return -1 # aaaa = 1 # aabb = 2 # abab = 3 # abba = 4 # none = -1 def get_scheme(s1, s2, s3, s4): if s1 == s2 == s3 == s4: return 1 if s1 == s2 and s3 == s4: return 2 if s1 == s3 and s2 == s4: return 3 if s1 == s4 and s2 == s3: return 4 return -1 def get_scheme2(x): if x == 1: return "aaaa" if x == 2: return "aabb" if x == 3: return "abab" if x == 4: return "abba" def main(): #sys.stdin = open('input.txt', 'r') #sys.stdout = open('output.txt', 'w') # print(get_suffix("commit", 3)) n, k = [int(x) for x in input().split()] rhymes = [] no_scheme = False for i in range(n): s1 = get_suffix(input(), k) s2 = get_suffix(input(), k) s3 = get_suffix(input(), k) s4 = get_suffix(input(), k) if s1 == -1 or s2 == -1 or s3 == -1 or s4 == -1: rhymes.append(-1) else: rhymes.append(get_scheme(s1, s2, s3, s4)) # print(*rhymes) rhymes = set(rhymes) scheme = "" if -1 in rhymes: scheme = "NO" elif len(rhymes) == 1: scheme = get_scheme2(rhymes.pop()) elif len(rhymes) == 2 and 1 in rhymes: rhymes.remove(1) scheme = get_scheme2(rhymes.pop()) else: scheme = "NO" print(scheme) #------------------ Python 2 and 3 footer by Pajenegod and c1729----------------------------------------- py2 = round(0.5) if py2: from future_builtins import ascii, filter, hex, map, oct, zip range = xrange import os, sys from io import IOBase, BytesIO BUFSIZE = 8192 class FastIO(BytesIO): newlines = 0 def __init__(self, file): self._file = file self._fd = file.fileno() self.writable = "x" in file.mode or "w" in file.mode self.write = super(FastIO, self).write if self.writable else None def _fill(self): s = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.seek((self.tell(), self.seek(0,2), super(FastIO, self).write(s))[0]) return s def read(self): while self._fill(): pass return super(FastIO,self).read() def readline(self): while self.newlines == 0: s = self._fill(); self.newlines = s.count(b"\n") + (not s) self.newlines -= 1 return super(FastIO, self).readline() def flush(self): if self.writable: os.write(self._fd, self.getvalue()) self.truncate(0), self.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable if py2: self.write = self.buffer.write self.read = self.buffer.read self.readline = self.buffer.readline else: self.write = lambda s:self.buffer.write(s.encode('ascii')) self.read = lambda:self.buffer.read().decode('ascii') self.readline = lambda:self.buffer.readline().decode('ascii') sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip('\r\n') if __name__ == '__main__': main() ```
5,221
[ 0.1104736328125, 0.1304931640625, 0.0163421630859375, 0.03863525390625, -0.48388671875, -0.1300048828125, -0.1387939453125, -0.0177459716796875, 0.0850830078125, 0.73828125, 0.1878662109375, 0.07379150390625, 0.162109375, -0.8173828125, -0.62060546875, -0.10430908203125, -0.544921875, -0.8076171875, -0.299560546875, 0.18505859375, 0.0811767578125, 0.1558837890625, -1.259765625, -0.0501708984375, 0.05615234375, 0.81689453125, 0.5732421875, 0.234619140625, 1.47265625, 0.96435546875, 0.1204833984375, -0.353515625, 0.44970703125, -1.1162109375, -0.1436767578125, -0.16357421875, 0.470947265625, -0.325439453125, -0.30419921875, -0.92822265625, 0.5166015625, -0.228515625, 0.59375, -0.485595703125, -0.8291015625, -0.201416015625, -0.2252197265625, -0.60986328125, 0.06353759765625, -0.35498046875, 0.1566162109375, -0.6220703125, 0.8232421875, -0.308837890625, -0.0889892578125, -0.288818359375, -0.1885986328125, 0.01137542724609375, -0.5380859375, 0.1920166015625, 0.12188720703125, 0.3359375, -0.53125, -0.45263671875, -0.40283203125, 0.50830078125, 0.0240631103515625, -0.200439453125, -0.152587890625, -0.685546875, -0.09564208984375, 0.0279541015625, -0.24169921875, -0.59716796875, -0.89013671875, -0.030059814453125, -0.0128326416015625, -0.213623046875, -0.00861358642578125, 0.84814453125, 0.2449951171875, 0.56103515625, 0.0625, 0.6279296875, -0.61962890625, -0.76513671875, -0.2451171875, -0.04315185546875, 0.341796875, -0.487548828125, -0.337890625, 0.78564453125, -0.3623046875, 0.041748046875, 0.6298828125, 0.55810546875, -0.1688232421875, 0.64111328125, 0.8115234375, 0.80029296875, 0.62255859375, 0.70703125, 0.08935546875, 0.7666015625, -0.646484375, 0.129638671875, -0.255859375, 0.2030029296875, 0.08465576171875, -0.349609375, -0.2386474609375, -0.16015625, 0.209228515625, 0.49560546875, -0.1461181640625, 0.56689453125, -0.357666015625, 0.318115234375, -1.08203125, -0.151123046875, 0.484375, 0.6318359375, 0.1514892578125, 0.048065185546875, 0.38525390625, -0.552734375, -0.70849609375, 1.076171875, -0.8212890625, -0.0604248046875, 0.1080322265625, -0.27001953125, -0.09698486328125, 0.012847900390625, -0.1158447265625, 0.291748046875, -0.070556640625, 0.69677734375, 0.7978515625, -0.716796875, 0.69287109375, -0.350830078125, 0.0078125, 1.419921875, 0.59521484375, 0.3779296875, 0.6259765625, 0.345458984375, -1.2451171875, 0.189453125, -0.287841796875, 0.6044921875, 0.0011701583862304688, 0.0098876953125, -0.456298828125, 0.0654296875, -0.09307861328125, 0.436279296875, -0.00792694091796875, 0.272216796875, -0.383544921875, 0.1712646484375, -0.265625, 0.66943359375, -0.5, 0.8408203125, -0.1561279296875, -0.341796875, 0.19580078125, -0.72216796875, 0.5068359375, -0.1646728515625, -0.343994140625, 0.80615234375, 0.423828125, 0.70849609375, 0.7890625, -0.7763671875, 0.783203125, 0.03790283203125, 0.00646209716796875, 0.0855712890625, 0.2352294921875, 0.73388671875, 0.1275634765625, 0.1260986328125, 0.048797607421875, -0.52490234375, -0.98193359375, -0.473876953125, -0.03375244140625, 0.69287109375, -0.3984375, 0.2216796875, 0.468505859375, -0.08056640625, -0.86474609375, -0.464599609375, 0.07806396484375, -0.75390625, -0.587890625, 1.10546875, -0.06378173828125, 0.560546875, -0.1728515625, -0.57080078125, 0.1490478515625, 1.2705078125, 0.006195068359375, 0.1943359375, 0.42724609375, 0.04168701171875, -0.135986328125, 0.335205078125, 0.09906005859375, -0.0285186767578125, -0.322021484375, 0.7099609375, -0.1729736328125, 0.01396942138671875, -0.353271484375, 0.533203125, 0.2069091796875, 0.302978515625, -0.68310546875, -0.27685546875, 0.356201171875, 1.1591796875, 0.119384765625, 0.446044921875, 0.422119140625, 0.95263671875, 0.5419921875, 1.0234375, 0.41845703125, 0.195556640625, 0.513671875, 0.8662109375, 0.224609375, 0.2283935546875, 0.281005859375, 0.45361328125, 0.452392578125, 0.451904296875, 0.51220703125, 0.1688232421875, -0.454345703125, 0.0601806640625, -0.54736328125, 0.66357421875, -0.11590576171875, 0.94091796875, 0.2783203125, 0.69921875, -0.5654296875, -0.447509765625, -0.053253173828125, 0.51708984375, -0.5302734375, -0.93359375, -0.095458984375, 0.18994140625, 0.298828125, -0.2388916015625, 0.2200927734375, 0.40087890625, 0.6689453125, 0.9130859375, -0.04473876953125, -0.09234619140625, -0.75146484375, -0.97216796875, -1.2138671875, -0.1917724609375, -0.209716796875, 0.0144195556640625, 0.7138671875, -1.09375, 0.2763671875, 0.056915283203125, 0.0843505859375, 0.29248046875, -0.953125, 0.36572265625, -0.459228515625, 0.52490234375, -1.0341796875, 0.9013671875, -0.259033203125, 1.0615234375, -0.443359375, -0.2117919921875, -0.1134033203125, -0.56591796875, 0.69189453125, -0.1798095703125, 0.156005859375, 0.132568359375, -0.55126953125, -0.80615234375, -0.458251953125, -0.54150390625, -0.494384765625, 0.521484375, -0.60546875, 1.1123046875, 0.181884765625, -0.9541015625, 0.44921875, 0.5625, -0.978515625, 0.4169921875, 0.463623046875, 0.5947265625, -0.59765625, 1.603515625, 0.72265625, 0.41748046875, -0.54736328125, -0.310791015625, -0.418212890625, -0.200927734375, 0.06805419921875, -0.233154296875, -0.352783203125, 0.52392578125, 0.42138671875, -1.0615234375, 0.252685546875, -1.1689453125, -0.2919921875, -0.01500701904296875, -0.81640625, 1.1962890625, 0.6181640625, 0.247314453125, -0.59619140625, -0.27587890625, -0.1912841796875, 0.90478515625, 0.302734375, -0.29443359375, 0.1776123046875, 0.515625, -0.04827880859375, -0.0012350082397460938, 0.06353759765625, -0.73193359375, -0.04608154296875, 0.038848876953125, -0.324951171875, 0.998046875, 0.62060546875, -0.2001953125, 0.09490966796875, 0.63330078125, -0.685546875, -0.44580078125, -0.159912109375, 0.63232421875, -0.0723876953125, 0.548828125, 0.8974609375, -0.2188720703125, -0.397705078125, -1.1728515625, 0.703125, 0.142822265625, 0.8369140625, -0.88427734375, 0.640625, 0.57470703125, -0.55712890625, 0.354248046875, -0.89013671875, -0.01221466064453125, 0.98828125, -0.2042236328125, 0.7294921875, -1.1962890625, 0.164306640625, -0.011383056640625, 0.2286376953125, 0.6259765625, 0.353759765625, 0.85107421875, -0.2484130859375, -0.361328125, -0.1505126953125, 0.0168304443359375, -0.1837158203125, -0.595703125, 0.2100830078125, -0.7470703125, -0.259765625, -0.8486328125, 0.460693359375, 0.6787109375, 0.362548828125, -0.38671875, 0.302001953125, 0.444580078125, 0.859375, 0.6943359375, -0.17041015625, -0.165283203125, -0.80029296875, 0.48291015625, -0.0134124755859375, -0.3642578125, -0.5341796875, -0.693359375, -0.7216796875, -0.213134765625, 0.4033203125, -0.0670166015625, -1.109375, 0.09002685546875, -0.268798828125, 0.51025390625, -0.5732421875, -0.359619140625, -0.15380859375, 0.322021484375, 0.24951171875, -0.7177734375, 0.271484375, -1.1357421875, 0.54443359375, 0.61474609375, -0.6953125, -0.261474609375, -0.4853515625, -0.70166015625, -0.640625, 0.06451416015625, 0.796875, -0.0958251953125, 0.61279296875, -0.97607421875, 0.73681640625, 0.259765625, -0.50390625, 0.1937255859375, 0.263916015625, 0.14306640625, -0.09503173828125, 0.9013671875, -0.57470703125, -0.580078125, 0.83740234375, -1.08203125, -0.125732421875, -0.67333984375, 0.1837158203125, -0.355224609375, -0.2841796875, -0.04022216796875, 0.358642578125, 0.09710693359375, 0.25830078125, 0.2325439453125, 0.29443359375, -0.57568359375, -0.93798828125, 0.481689453125, 0.1697998046875, -0.376953125, 0.78759765625, 0.0074462890625, -0.5419921875, 0.1627197265625, 0.264892578125, -0.53564453125, 0.83203125, -0.8232421875, 0.384033203125, -0.166748046875, -0.60888671875, -0.379150390625, -0.49365234375, 0.68310546875, 0.157958984375, -0.61376953125, -0.25634765625, -0.8017578125, -0.316650390625, -0.448486328125, -1.12109375, 0.369873046875, 0.222412109375, -0.393310546875, -0.11798095703125, -0.1846923828125, -0.3212890625, -0.5224609375, -0.3583984375, -0.619140625, 0.5556640625, 0.203369140625, 0.703125, -0.031463623046875, -0.301025390625, 0.01384735107421875, 0.041473388671875, 0.1639404296875, -0.587890625, -0.05499267578125, 0.2763671875, -0.50634765625, -0.037261962890625, 0.242919921875, 0.27783203125, 0.13134765625, 0.60595703125, 0.0296783447265625, 0.52685546875, 0.458251953125, -0.603515625, 1.2421875, 0.56884765625, -1.166015625, 0.11383056640625, 0.44775390625, 0.12646484375, 1.1279296875, 0.0648193359375, -0.26171875, -0.51318359375, -0.89013671875, -0.279052734375, -0.65673828125, -0.0147857666015625, -0.57568359375, 0.10626220703125, -0.36962890625, 0.9716796875, -0.052642822265625, -0.346435546875, 0.0693359375, -1.509765625, 0.2181396484375, -0.689453125, -0.208984375, -0.73828125, -0.01123809814453125, -0.1695556640625, 1.04296875, -0.24462890625, 0.50146484375, 0.52587890625, -0.41455078125, 0.016693115234375, -0.394775390625, -0.50341796875, -0.6103515625, 0.23583984375, -0.08221435546875, -0.2666015625, 0.051727294921875, -0.7138671875, 0.88623046875, -1.15234375, -0.314453125, -0.5986328125, -0.046905517578125, -0.0655517578125, -0.0802001953125, 1.3623046875, -0.290283203125, -0.324951171875, -0.6748046875, 0.54736328125, 0.64697265625, -0.35986328125, -0.74169921875, -0.67236328125, -0.423095703125, -1.1591796875, 0.4130859375, -0.669921875, 0.04278564453125, -0.8046875, -0.33837890625, 0.95947265625, -0.191650390625, 0.1666259765625, 1.2353515625, -0.198486328125, -0.0045928955078125, -0.5673828125, 0.8642578125, 0.27783203125, -0.425537109375, -0.114501953125, 0.00836944580078125, -0.6845703125, 0.6591796875, -0.57275390625, -1.0615234375, -0.322509765625, 0.6005859375, 1.01953125, -0.481689453125, 0.64013671875, 0.151611328125, -0.86328125, -0.57470703125, 1.0048828125, 0.0266876220703125, -0.02728271484375, 0.95458984375, -0.5986328125, -0.325439453125, -0.1611328125, -0.22412109375, -0.134521484375, -0.429443359375, 1.125, -0.462158203125, -0.6123046875, 0.81396484375, 0.533203125, -1.3330078125, -0.78515625, -0.224853515625, 0.2364501953125, 0.0999755859375, -0.50439453125, 0.3486328125, 1.029296875, -0.5546875, 0.2548828125, 0.7685546875, 0.05670166015625, 0.62353515625, -0.05743408203125, 0.32861328125, -0.32861328125, 0.397216796875, 0.904296875, -0.66015625, -0.4111328125, -0.5830078125, 0.09967041015625, -0.420654296875, 0.3125, 0.65625, -0.54443359375, -0.051116943359375, 0.62353515625, 0.1343994140625, 0.84765625, -0.58642578125, -0.11724853515625, 0.50244140625, -0.6103515625, -0.64501953125, 0.003192901611328125, 0.51708984375, 0.1156005859375, 0.2548828125, -0.6279296875, 0.0192718505859375, 0.177001953125, 0.5634765625, -0.73046875, -0.93994140625, -0.61669921875, -0.92919921875, -0.3466796875, -0.32177734375, -0.2939453125, 0.11114501953125, 0.4306640625, 0.069091796875, -0.896484375, 0.124755859375, 0.39892578125, -0.6474609375, 0.97412109375, -1.0439453125, 0.09564208984375, -0.57080078125, 0.0200958251953125, -0.56689453125, -0.353759765625, -0.28515625, -0.093505859375, -0.56689453125, 0.1309814453125, 0.09844970703125, 0.462646484375, 0.0609130859375, 0.492919921875, 0.052581787109375, -0.345703125, 0.1019287109375, 0.310302734375, -0.1080322265625, 1.048828125, 0.333740234375, 0.194580078125, 0.62744140625, 0.049224853515625, -0.6064453125, -0.32275390625, 0.2890625, 0.759765625, -0.274658203125, -0.41796875, -0.89990234375, 0.10809326171875, -1.1640625, 0.203857421875, -0.568359375, -0.037506103515625, 0.135009765625, -0.2379150390625, 0.098388671875, 1.419921875, -0.270263671875, 0.3388671875, 0.447998046875, 0.052734375, 0.093994140625, 0.33642578125, -0.14404296875, 0.392822265625, 0.49072265625, -0.3603515625, 0.2269287109375, 0.339111328125, -0.1693115234375, 0.454345703125, -0.53955078125, -0.6630859375, -0.8486328125, -0.01473236083984375, -0.0882568359375, 0.5244140625, 0.454345703125, -0.52294921875, -0.45703125, -0.377685546875, -0.5732421875, 0.1851806640625, -1.0576171875, -0.86572265625, 0.459228515625, -0.2109375, -0.2440185546875, 0.26708984375, -0.5703125, -0.2398681640625, 0.156494140625, 0.3134765625, -0.818359375, 0.7216796875, -0.287841796875, 0.036376953125, -0.11083984375, 0.11773681640625, 0.395751953125, -0.0250701904296875, -0.94091796875, -0.6484375, 0.41552734375, 1.0166015625, 0.77587890625, 0.325439453125, -0.309326171875, -0.0271759033203125, -0.375244140625, 0.15087890625, -0.43408203125, 0.426513671875, -0.007472991943359375, 0.2958984375, -0.8798828125, -0.4130859375, 0.06842041015625, 0.37451171875, 0.17138671875, -0.1409912109375, -0.463134765625, 0.5322265625, 0.55517578125, 0.10516357421875, 1.208984375, 0.09210205078125, 0.96875, 0.275146484375, -0.08941650390625, -0.43603515625, 0.53076171875, 0.384521484375, 0.353271484375, -0.70556640625, 0.57861328125, 0.841796875, -0.03497314453125, -0.00701904296875, 0.6826171875, 0.422607421875, -0.34423828125, 0.058990478515625, -0.1717529296875, 0.05316162109375, 0.80078125, -0.6611328125, 0.39208984375, -0.154296875, -0.2529296875, -0.09368896484375, -0.56787109375, 0.6474609375, -0.291259765625, -0.049346923828125, -0.56103515625, -0.369140625, 0.466796875, 0.481689453125, 0.466064453125, 0.0830078125, 1.0439453125, 0.88916015625, 0.1119384765625, 0.478271484375, 0.279296875, 0.6787109375, -0.6328125, 0.2491455078125, 0.430419921875, 0.270263671875, -0.6123046875, -0.5078125, -0.98876953125, 0.73876953125, -0.84228515625, -0.27392578125, 0.88720703125, -0.77099609375, -0.04425048828125, -0.4326171875, 0.51416015625, -0.70166015625, 0.509765625, 0.333740234375, -0.212890625, -0.53759765625, 0.58154296875, -0.53076171875, 0.281494140625, 0.6669921875, 0.861328125, -0.1556396484375, 1.3935546875, 0.427734375, -0.1776123046875, -0.10626220703125, -0.067138671875, -0.21826171875, -0.439208984375, -0.306396484375, -0.404541015625, 0.0726318359375, -0.5263671875, -0.487548828125, -0.1715087890625, 0.306884765625, -0.31494140625, -0.9833984375, -0.5087890625, 0.2392578125, -0.90234375, 0.3837890625, -0.1500244140625, -0.2939453125, 0.1328125, -0.41552734375, -0.52490234375, -0.341796875, 0.0291900634765625, -0.43798828125, 0.89306640625, -0.4765625, -0.7392578125, -0.63525390625, -0.53271484375, -0.255859375, 0.2685546875, -0.56396484375, -0.77685546875, 0.00788116455078125, 0.67919921875, 0.2279052734375, 0.14453125, -0.5341796875, 0.0018014907836914062, 1.017578125, 0.87158203125, 0.349365234375, 0.69287109375, 0.58349609375, -0.2362060546875, 0.1551513671875, -0.54736328125, 0.71240234375, -0.1767578125, -0.0584716796875, -0.036407470703125, 0.284423828125, -0.65234375, -1.109375, 0.09185791015625, 0.5849609375, 0.078369140625, -0.93603515625, -1.5869140625, -0.436279296875, -0.87841796875, -0.05731201171875, -0.5625, 0.44287109375, 0.703125, -0.021148681640625, -0.14306640625, -1.025390625, 4.296875, 0.8271484375, 0.73046875, 0.51611328125, 0.2252197265625, 0.95849609375, 0.55859375, -0.474853515625, -0.1488037109375, -0.89404296875, 0.349609375, -0.61181640625, 0.2406005859375, 0.414794921875, 0.5634765625, 0.7119140625, -0.264404296875, 0.10260009765625, -0.0024013519287109375, -0.71337890625, -1.18359375, -0.12255859375, 0.06341552734375, 0.376220703125, -0.26123046875, 0.423583984375, 0.5732421875, -0.580078125, -0.0157470703125, -0.935546875, -0.0186920166015625, -0.431396484375, 0.84228515625, -0.171142578125, -0.07318115234375, 0.65869140625, -0.0004189014434814453, -0.57421875, -0.1806640625, 0.30859375, -0.296142578125, 0.1571044921875, 0.64111328125, -0.56103515625, -0.10699462890625, 0.42919921875, -0.1553955078125, 0.29296875, 0.2646484375, -0.97998046875, 1.029296875, 0.025146484375, 0.451171875, -0.413330078125, -0.85302734375, -0.02020263671875, 0.2498779296875, -0.30859375, 0.1273193359375, 0.259033203125, -0.057891845703125, 0.05841064453125, -0.1705322265625, 0.8837890625, -0.830078125, 0.8408203125, -0.243896484375, 0.1007080078125, -0.1610107421875, 0.01229095458984375, 0.2432861328125, -0.01200103759765625, -0.31689453125, -0.5625, 0.55419921875, 0.230712890625, -0.9169921875, 0.68603515625, 0.7509765625, -0.418212890625, 0.5966796875, -0.71044921875, -0.425537109375, -0.1536865234375, 0.6201171875, 1.0849609375, -0.77734375, -0.57470703125, -0.62744140625, 0.45166015625, 0.59814453125, 0.29443359375, 0.00812530517578125, -0.2275390625, -0.53125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Tags: implementation Correct Solution: ``` n,k = map(int,input().split()) lis=[] vov=['a','e','i','o','u'] d={} d['aabb']=d['abab']=d['abba']=d['aaaa']=0 for i in range(n*4): s = input() lis.append(s) if i%4==3: tmp=['']*4 for j in range(4): s=lis[j] c=0 cou=0 for ll in s[::-1]: cou+=1 if ll in vov: c+=1 if c==k: tmp[j]=s[-cou:] break # print(tmp) tt=1 if tmp[0]==tmp[1]==tmp[2]==tmp[3] and tmp[0]!='': d['aaaa']+=1 tt=0 if tmp[0]==tmp[1] and tmp[2]==tmp[3] and tmp[1]!=tmp[3] and tmp[1]!='' and tmp[3]!='': d['aabb']+=1 tt=0 elif tmp[0]==tmp[2] and tmp[1]==tmp[3] and tmp[1]!=tmp[0] and tmp[1]!='' and tmp[0]!='': d['abab']+=1 tt=0 elif tmp[0]==tmp[3] and tmp[1]==tmp[2] and tmp[2]!=tmp[0] and tmp[1]!='' and tmp[3]!='': d['abba']+=1 tt=0 if tt: print("NO") exit() lis=[] c=0 for i in d: if d[i]>0: c+=1 if c==1: for i in d: if d[i]>0: print(i) exit() elif c==2 and d['aaaa']>0: for i in d: if d[i]>0: print(i) exit() else: print("NO") ```
5,222
[ 0.1104736328125, 0.1304931640625, 0.0163421630859375, 0.03863525390625, -0.48388671875, -0.1300048828125, -0.1387939453125, -0.0177459716796875, 0.0850830078125, 0.73828125, 0.1878662109375, 0.07379150390625, 0.162109375, -0.8173828125, -0.62060546875, -0.10430908203125, -0.544921875, -0.8076171875, -0.299560546875, 0.18505859375, 0.0811767578125, 0.1558837890625, -1.259765625, -0.0501708984375, 0.05615234375, 0.81689453125, 0.5732421875, 0.234619140625, 1.47265625, 0.96435546875, 0.1204833984375, -0.353515625, 0.44970703125, -1.1162109375, -0.1436767578125, -0.16357421875, 0.470947265625, -0.325439453125, -0.30419921875, -0.92822265625, 0.5166015625, -0.228515625, 0.59375, -0.485595703125, -0.8291015625, -0.201416015625, -0.2252197265625, -0.60986328125, 0.06353759765625, -0.35498046875, 0.1566162109375, -0.6220703125, 0.8232421875, -0.308837890625, -0.0889892578125, -0.288818359375, -0.1885986328125, 0.01137542724609375, -0.5380859375, 0.1920166015625, 0.12188720703125, 0.3359375, -0.53125, -0.45263671875, -0.40283203125, 0.50830078125, 0.0240631103515625, -0.200439453125, -0.152587890625, -0.685546875, -0.09564208984375, 0.0279541015625, -0.24169921875, -0.59716796875, -0.89013671875, -0.030059814453125, -0.0128326416015625, -0.213623046875, -0.00861358642578125, 0.84814453125, 0.2449951171875, 0.56103515625, 0.0625, 0.6279296875, -0.61962890625, -0.76513671875, -0.2451171875, -0.04315185546875, 0.341796875, -0.487548828125, -0.337890625, 0.78564453125, -0.3623046875, 0.041748046875, 0.6298828125, 0.55810546875, -0.1688232421875, 0.64111328125, 0.8115234375, 0.80029296875, 0.62255859375, 0.70703125, 0.08935546875, 0.7666015625, -0.646484375, 0.129638671875, -0.255859375, 0.2030029296875, 0.08465576171875, -0.349609375, -0.2386474609375, -0.16015625, 0.209228515625, 0.49560546875, -0.1461181640625, 0.56689453125, -0.357666015625, 0.318115234375, -1.08203125, -0.151123046875, 0.484375, 0.6318359375, 0.1514892578125, 0.048065185546875, 0.38525390625, -0.552734375, -0.70849609375, 1.076171875, -0.8212890625, -0.0604248046875, 0.1080322265625, -0.27001953125, -0.09698486328125, 0.012847900390625, -0.1158447265625, 0.291748046875, -0.070556640625, 0.69677734375, 0.7978515625, -0.716796875, 0.69287109375, -0.350830078125, 0.0078125, 1.419921875, 0.59521484375, 0.3779296875, 0.6259765625, 0.345458984375, -1.2451171875, 0.189453125, -0.287841796875, 0.6044921875, 0.0011701583862304688, 0.0098876953125, -0.456298828125, 0.0654296875, -0.09307861328125, 0.436279296875, -0.00792694091796875, 0.272216796875, -0.383544921875, 0.1712646484375, -0.265625, 0.66943359375, -0.5, 0.8408203125, -0.1561279296875, -0.341796875, 0.19580078125, -0.72216796875, 0.5068359375, -0.1646728515625, -0.343994140625, 0.80615234375, 0.423828125, 0.70849609375, 0.7890625, -0.7763671875, 0.783203125, 0.03790283203125, 0.00646209716796875, 0.0855712890625, 0.2352294921875, 0.73388671875, 0.1275634765625, 0.1260986328125, 0.048797607421875, -0.52490234375, -0.98193359375, -0.473876953125, -0.03375244140625, 0.69287109375, -0.3984375, 0.2216796875, 0.468505859375, -0.08056640625, -0.86474609375, -0.464599609375, 0.07806396484375, -0.75390625, -0.587890625, 1.10546875, -0.06378173828125, 0.560546875, -0.1728515625, -0.57080078125, 0.1490478515625, 1.2705078125, 0.006195068359375, 0.1943359375, 0.42724609375, 0.04168701171875, -0.135986328125, 0.335205078125, 0.09906005859375, -0.0285186767578125, -0.322021484375, 0.7099609375, -0.1729736328125, 0.01396942138671875, -0.353271484375, 0.533203125, 0.2069091796875, 0.302978515625, -0.68310546875, -0.27685546875, 0.356201171875, 1.1591796875, 0.119384765625, 0.446044921875, 0.422119140625, 0.95263671875, 0.5419921875, 1.0234375, 0.41845703125, 0.195556640625, 0.513671875, 0.8662109375, 0.224609375, 0.2283935546875, 0.281005859375, 0.45361328125, 0.452392578125, 0.451904296875, 0.51220703125, 0.1688232421875, -0.454345703125, 0.0601806640625, -0.54736328125, 0.66357421875, -0.11590576171875, 0.94091796875, 0.2783203125, 0.69921875, -0.5654296875, -0.447509765625, -0.053253173828125, 0.51708984375, -0.5302734375, -0.93359375, -0.095458984375, 0.18994140625, 0.298828125, -0.2388916015625, 0.2200927734375, 0.40087890625, 0.6689453125, 0.9130859375, -0.04473876953125, -0.09234619140625, -0.75146484375, -0.97216796875, -1.2138671875, -0.1917724609375, -0.209716796875, 0.0144195556640625, 0.7138671875, -1.09375, 0.2763671875, 0.056915283203125, 0.0843505859375, 0.29248046875, -0.953125, 0.36572265625, -0.459228515625, 0.52490234375, -1.0341796875, 0.9013671875, -0.259033203125, 1.0615234375, -0.443359375, -0.2117919921875, -0.1134033203125, -0.56591796875, 0.69189453125, -0.1798095703125, 0.156005859375, 0.132568359375, -0.55126953125, -0.80615234375, -0.458251953125, -0.54150390625, -0.494384765625, 0.521484375, -0.60546875, 1.1123046875, 0.181884765625, -0.9541015625, 0.44921875, 0.5625, -0.978515625, 0.4169921875, 0.463623046875, 0.5947265625, -0.59765625, 1.603515625, 0.72265625, 0.41748046875, -0.54736328125, -0.310791015625, -0.418212890625, -0.200927734375, 0.06805419921875, -0.233154296875, -0.352783203125, 0.52392578125, 0.42138671875, -1.0615234375, 0.252685546875, -1.1689453125, -0.2919921875, -0.01500701904296875, -0.81640625, 1.1962890625, 0.6181640625, 0.247314453125, -0.59619140625, -0.27587890625, -0.1912841796875, 0.90478515625, 0.302734375, -0.29443359375, 0.1776123046875, 0.515625, -0.04827880859375, -0.0012350082397460938, 0.06353759765625, -0.73193359375, -0.04608154296875, 0.038848876953125, -0.324951171875, 0.998046875, 0.62060546875, -0.2001953125, 0.09490966796875, 0.63330078125, -0.685546875, -0.44580078125, -0.159912109375, 0.63232421875, -0.0723876953125, 0.548828125, 0.8974609375, -0.2188720703125, -0.397705078125, -1.1728515625, 0.703125, 0.142822265625, 0.8369140625, -0.88427734375, 0.640625, 0.57470703125, -0.55712890625, 0.354248046875, -0.89013671875, -0.01221466064453125, 0.98828125, -0.2042236328125, 0.7294921875, -1.1962890625, 0.164306640625, -0.011383056640625, 0.2286376953125, 0.6259765625, 0.353759765625, 0.85107421875, -0.2484130859375, -0.361328125, -0.1505126953125, 0.0168304443359375, -0.1837158203125, -0.595703125, 0.2100830078125, -0.7470703125, -0.259765625, -0.8486328125, 0.460693359375, 0.6787109375, 0.362548828125, -0.38671875, 0.302001953125, 0.444580078125, 0.859375, 0.6943359375, -0.17041015625, -0.165283203125, -0.80029296875, 0.48291015625, -0.0134124755859375, -0.3642578125, -0.5341796875, -0.693359375, -0.7216796875, -0.213134765625, 0.4033203125, -0.0670166015625, -1.109375, 0.09002685546875, -0.268798828125, 0.51025390625, -0.5732421875, -0.359619140625, -0.15380859375, 0.322021484375, 0.24951171875, -0.7177734375, 0.271484375, -1.1357421875, 0.54443359375, 0.61474609375, -0.6953125, -0.261474609375, -0.4853515625, -0.70166015625, -0.640625, 0.06451416015625, 0.796875, -0.0958251953125, 0.61279296875, -0.97607421875, 0.73681640625, 0.259765625, -0.50390625, 0.1937255859375, 0.263916015625, 0.14306640625, -0.09503173828125, 0.9013671875, -0.57470703125, -0.580078125, 0.83740234375, -1.08203125, -0.125732421875, -0.67333984375, 0.1837158203125, -0.355224609375, -0.2841796875, -0.04022216796875, 0.358642578125, 0.09710693359375, 0.25830078125, 0.2325439453125, 0.29443359375, -0.57568359375, -0.93798828125, 0.481689453125, 0.1697998046875, -0.376953125, 0.78759765625, 0.0074462890625, -0.5419921875, 0.1627197265625, 0.264892578125, -0.53564453125, 0.83203125, -0.8232421875, 0.384033203125, -0.166748046875, -0.60888671875, -0.379150390625, -0.49365234375, 0.68310546875, 0.157958984375, -0.61376953125, -0.25634765625, -0.8017578125, -0.316650390625, -0.448486328125, -1.12109375, 0.369873046875, 0.222412109375, -0.393310546875, -0.11798095703125, -0.1846923828125, -0.3212890625, -0.5224609375, -0.3583984375, -0.619140625, 0.5556640625, 0.203369140625, 0.703125, -0.031463623046875, -0.301025390625, 0.01384735107421875, 0.041473388671875, 0.1639404296875, -0.587890625, -0.05499267578125, 0.2763671875, -0.50634765625, -0.037261962890625, 0.242919921875, 0.27783203125, 0.13134765625, 0.60595703125, 0.0296783447265625, 0.52685546875, 0.458251953125, -0.603515625, 1.2421875, 0.56884765625, -1.166015625, 0.11383056640625, 0.44775390625, 0.12646484375, 1.1279296875, 0.0648193359375, -0.26171875, -0.51318359375, -0.89013671875, -0.279052734375, -0.65673828125, -0.0147857666015625, -0.57568359375, 0.10626220703125, -0.36962890625, 0.9716796875, -0.052642822265625, -0.346435546875, 0.0693359375, -1.509765625, 0.2181396484375, -0.689453125, -0.208984375, -0.73828125, -0.01123809814453125, -0.1695556640625, 1.04296875, -0.24462890625, 0.50146484375, 0.52587890625, -0.41455078125, 0.016693115234375, -0.394775390625, -0.50341796875, -0.6103515625, 0.23583984375, -0.08221435546875, -0.2666015625, 0.051727294921875, -0.7138671875, 0.88623046875, -1.15234375, -0.314453125, -0.5986328125, -0.046905517578125, -0.0655517578125, -0.0802001953125, 1.3623046875, -0.290283203125, -0.324951171875, -0.6748046875, 0.54736328125, 0.64697265625, -0.35986328125, -0.74169921875, -0.67236328125, -0.423095703125, -1.1591796875, 0.4130859375, -0.669921875, 0.04278564453125, -0.8046875, -0.33837890625, 0.95947265625, -0.191650390625, 0.1666259765625, 1.2353515625, -0.198486328125, -0.0045928955078125, -0.5673828125, 0.8642578125, 0.27783203125, -0.425537109375, -0.114501953125, 0.00836944580078125, -0.6845703125, 0.6591796875, -0.57275390625, -1.0615234375, -0.322509765625, 0.6005859375, 1.01953125, -0.481689453125, 0.64013671875, 0.151611328125, -0.86328125, -0.57470703125, 1.0048828125, 0.0266876220703125, -0.02728271484375, 0.95458984375, -0.5986328125, -0.325439453125, -0.1611328125, -0.22412109375, -0.134521484375, -0.429443359375, 1.125, -0.462158203125, -0.6123046875, 0.81396484375, 0.533203125, -1.3330078125, -0.78515625, -0.224853515625, 0.2364501953125, 0.0999755859375, -0.50439453125, 0.3486328125, 1.029296875, -0.5546875, 0.2548828125, 0.7685546875, 0.05670166015625, 0.62353515625, -0.05743408203125, 0.32861328125, -0.32861328125, 0.397216796875, 0.904296875, -0.66015625, -0.4111328125, -0.5830078125, 0.09967041015625, -0.420654296875, 0.3125, 0.65625, -0.54443359375, -0.051116943359375, 0.62353515625, 0.1343994140625, 0.84765625, -0.58642578125, -0.11724853515625, 0.50244140625, -0.6103515625, -0.64501953125, 0.003192901611328125, 0.51708984375, 0.1156005859375, 0.2548828125, -0.6279296875, 0.0192718505859375, 0.177001953125, 0.5634765625, -0.73046875, -0.93994140625, -0.61669921875, -0.92919921875, -0.3466796875, -0.32177734375, -0.2939453125, 0.11114501953125, 0.4306640625, 0.069091796875, -0.896484375, 0.124755859375, 0.39892578125, -0.6474609375, 0.97412109375, -1.0439453125, 0.09564208984375, -0.57080078125, 0.0200958251953125, -0.56689453125, -0.353759765625, -0.28515625, -0.093505859375, -0.56689453125, 0.1309814453125, 0.09844970703125, 0.462646484375, 0.0609130859375, 0.492919921875, 0.052581787109375, -0.345703125, 0.1019287109375, 0.310302734375, -0.1080322265625, 1.048828125, 0.333740234375, 0.194580078125, 0.62744140625, 0.049224853515625, -0.6064453125, -0.32275390625, 0.2890625, 0.759765625, -0.274658203125, -0.41796875, -0.89990234375, 0.10809326171875, -1.1640625, 0.203857421875, -0.568359375, -0.037506103515625, 0.135009765625, -0.2379150390625, 0.098388671875, 1.419921875, -0.270263671875, 0.3388671875, 0.447998046875, 0.052734375, 0.093994140625, 0.33642578125, -0.14404296875, 0.392822265625, 0.49072265625, -0.3603515625, 0.2269287109375, 0.339111328125, -0.1693115234375, 0.454345703125, -0.53955078125, -0.6630859375, -0.8486328125, -0.01473236083984375, -0.0882568359375, 0.5244140625, 0.454345703125, -0.52294921875, -0.45703125, -0.377685546875, -0.5732421875, 0.1851806640625, -1.0576171875, -0.86572265625, 0.459228515625, -0.2109375, -0.2440185546875, 0.26708984375, -0.5703125, -0.2398681640625, 0.156494140625, 0.3134765625, -0.818359375, 0.7216796875, -0.287841796875, 0.036376953125, -0.11083984375, 0.11773681640625, 0.395751953125, -0.0250701904296875, -0.94091796875, -0.6484375, 0.41552734375, 1.0166015625, 0.77587890625, 0.325439453125, -0.309326171875, -0.0271759033203125, -0.375244140625, 0.15087890625, -0.43408203125, 0.426513671875, -0.007472991943359375, 0.2958984375, -0.8798828125, -0.4130859375, 0.06842041015625, 0.37451171875, 0.17138671875, -0.1409912109375, -0.463134765625, 0.5322265625, 0.55517578125, 0.10516357421875, 1.208984375, 0.09210205078125, 0.96875, 0.275146484375, -0.08941650390625, -0.43603515625, 0.53076171875, 0.384521484375, 0.353271484375, -0.70556640625, 0.57861328125, 0.841796875, -0.03497314453125, -0.00701904296875, 0.6826171875, 0.422607421875, -0.34423828125, 0.058990478515625, -0.1717529296875, 0.05316162109375, 0.80078125, -0.6611328125, 0.39208984375, -0.154296875, -0.2529296875, -0.09368896484375, -0.56787109375, 0.6474609375, -0.291259765625, -0.049346923828125, -0.56103515625, -0.369140625, 0.466796875, 0.481689453125, 0.466064453125, 0.0830078125, 1.0439453125, 0.88916015625, 0.1119384765625, 0.478271484375, 0.279296875, 0.6787109375, -0.6328125, 0.2491455078125, 0.430419921875, 0.270263671875, -0.6123046875, -0.5078125, -0.98876953125, 0.73876953125, -0.84228515625, -0.27392578125, 0.88720703125, -0.77099609375, -0.04425048828125, -0.4326171875, 0.51416015625, -0.70166015625, 0.509765625, 0.333740234375, -0.212890625, -0.53759765625, 0.58154296875, -0.53076171875, 0.281494140625, 0.6669921875, 0.861328125, -0.1556396484375, 1.3935546875, 0.427734375, -0.1776123046875, -0.10626220703125, -0.067138671875, -0.21826171875, -0.439208984375, -0.306396484375, -0.404541015625, 0.0726318359375, -0.5263671875, -0.487548828125, -0.1715087890625, 0.306884765625, -0.31494140625, -0.9833984375, -0.5087890625, 0.2392578125, -0.90234375, 0.3837890625, -0.1500244140625, -0.2939453125, 0.1328125, -0.41552734375, -0.52490234375, -0.341796875, 0.0291900634765625, -0.43798828125, 0.89306640625, -0.4765625, -0.7392578125, -0.63525390625, -0.53271484375, -0.255859375, 0.2685546875, -0.56396484375, -0.77685546875, 0.00788116455078125, 0.67919921875, 0.2279052734375, 0.14453125, -0.5341796875, 0.0018014907836914062, 1.017578125, 0.87158203125, 0.349365234375, 0.69287109375, 0.58349609375, -0.2362060546875, 0.1551513671875, -0.54736328125, 0.71240234375, -0.1767578125, -0.0584716796875, -0.036407470703125, 0.284423828125, -0.65234375, -1.109375, 0.09185791015625, 0.5849609375, 0.078369140625, -0.93603515625, -1.5869140625, -0.436279296875, -0.87841796875, -0.05731201171875, -0.5625, 0.44287109375, 0.703125, -0.021148681640625, -0.14306640625, -1.025390625, 4.296875, 0.8271484375, 0.73046875, 0.51611328125, 0.2252197265625, 0.95849609375, 0.55859375, -0.474853515625, -0.1488037109375, -0.89404296875, 0.349609375, -0.61181640625, 0.2406005859375, 0.414794921875, 0.5634765625, 0.7119140625, -0.264404296875, 0.10260009765625, -0.0024013519287109375, -0.71337890625, -1.18359375, -0.12255859375, 0.06341552734375, 0.376220703125, -0.26123046875, 0.423583984375, 0.5732421875, -0.580078125, -0.0157470703125, -0.935546875, -0.0186920166015625, -0.431396484375, 0.84228515625, -0.171142578125, -0.07318115234375, 0.65869140625, -0.0004189014434814453, -0.57421875, -0.1806640625, 0.30859375, -0.296142578125, 0.1571044921875, 0.64111328125, -0.56103515625, -0.10699462890625, 0.42919921875, -0.1553955078125, 0.29296875, 0.2646484375, -0.97998046875, 1.029296875, 0.025146484375, 0.451171875, -0.413330078125, -0.85302734375, -0.02020263671875, 0.2498779296875, -0.30859375, 0.1273193359375, 0.259033203125, -0.057891845703125, 0.05841064453125, -0.1705322265625, 0.8837890625, -0.830078125, 0.8408203125, -0.243896484375, 0.1007080078125, -0.1610107421875, 0.01229095458984375, 0.2432861328125, -0.01200103759765625, -0.31689453125, -0.5625, 0.55419921875, 0.230712890625, -0.9169921875, 0.68603515625, 0.7509765625, -0.418212890625, 0.5966796875, -0.71044921875, -0.425537109375, -0.1536865234375, 0.6201171875, 1.0849609375, -0.77734375, -0.57470703125, -0.62744140625, 0.45166015625, 0.59814453125, 0.29443359375, 0.00812530517578125, -0.2275390625, -0.53125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Tags: implementation Correct Solution: ``` n, k = map(int, input().split()) ve = 'aeiou' abba, aabb, abab = 1, 1, 1 for j in range(n): a = ['']*4 for i in range(4): a[i] = input() l = len(a[i]) curr = 0 while l > 0 and curr < k: l -= 1 if a[i][l] in ve: curr += 1 if curr == k: a[i] = a[i][l:] else: a[i] = str(i) if a[0] == a[3] and a[1] == a[2]: abba = abba and 1 else: abba = 0 if a[0] == a[1] and a[2] == a[3]: aabb = aabb and 1 else: aabb = 0 if a[0] == a[2] and a[1] == a[3]: abab = abab and 1 else: abab = 0 if abba and aabb and abab: print('aaaa') elif not(abba or aabb or abab): print('NO') elif abba: print('abba') elif abab: print('abab') elif aabb: print('aabb') # Made By Mostafa_Khaled ```
5,223
[ 0.1104736328125, 0.1304931640625, 0.0163421630859375, 0.03863525390625, -0.48388671875, -0.1300048828125, -0.1387939453125, -0.0177459716796875, 0.0850830078125, 0.73828125, 0.1878662109375, 0.07379150390625, 0.162109375, -0.8173828125, -0.62060546875, -0.10430908203125, -0.544921875, -0.8076171875, -0.299560546875, 0.18505859375, 0.0811767578125, 0.1558837890625, -1.259765625, -0.0501708984375, 0.05615234375, 0.81689453125, 0.5732421875, 0.234619140625, 1.47265625, 0.96435546875, 0.1204833984375, -0.353515625, 0.44970703125, -1.1162109375, -0.1436767578125, -0.16357421875, 0.470947265625, -0.325439453125, -0.30419921875, -0.92822265625, 0.5166015625, -0.228515625, 0.59375, -0.485595703125, -0.8291015625, -0.201416015625, -0.2252197265625, -0.60986328125, 0.06353759765625, -0.35498046875, 0.1566162109375, -0.6220703125, 0.8232421875, -0.308837890625, -0.0889892578125, -0.288818359375, -0.1885986328125, 0.01137542724609375, -0.5380859375, 0.1920166015625, 0.12188720703125, 0.3359375, -0.53125, -0.45263671875, -0.40283203125, 0.50830078125, 0.0240631103515625, -0.200439453125, -0.152587890625, -0.685546875, -0.09564208984375, 0.0279541015625, -0.24169921875, -0.59716796875, -0.89013671875, -0.030059814453125, -0.0128326416015625, -0.213623046875, -0.00861358642578125, 0.84814453125, 0.2449951171875, 0.56103515625, 0.0625, 0.6279296875, -0.61962890625, -0.76513671875, -0.2451171875, -0.04315185546875, 0.341796875, -0.487548828125, -0.337890625, 0.78564453125, -0.3623046875, 0.041748046875, 0.6298828125, 0.55810546875, -0.1688232421875, 0.64111328125, 0.8115234375, 0.80029296875, 0.62255859375, 0.70703125, 0.08935546875, 0.7666015625, -0.646484375, 0.129638671875, -0.255859375, 0.2030029296875, 0.08465576171875, -0.349609375, -0.2386474609375, -0.16015625, 0.209228515625, 0.49560546875, -0.1461181640625, 0.56689453125, -0.357666015625, 0.318115234375, -1.08203125, -0.151123046875, 0.484375, 0.6318359375, 0.1514892578125, 0.048065185546875, 0.38525390625, -0.552734375, -0.70849609375, 1.076171875, -0.8212890625, -0.0604248046875, 0.1080322265625, -0.27001953125, -0.09698486328125, 0.012847900390625, -0.1158447265625, 0.291748046875, -0.070556640625, 0.69677734375, 0.7978515625, -0.716796875, 0.69287109375, -0.350830078125, 0.0078125, 1.419921875, 0.59521484375, 0.3779296875, 0.6259765625, 0.345458984375, -1.2451171875, 0.189453125, -0.287841796875, 0.6044921875, 0.0011701583862304688, 0.0098876953125, -0.456298828125, 0.0654296875, -0.09307861328125, 0.436279296875, -0.00792694091796875, 0.272216796875, -0.383544921875, 0.1712646484375, -0.265625, 0.66943359375, -0.5, 0.8408203125, -0.1561279296875, -0.341796875, 0.19580078125, -0.72216796875, 0.5068359375, -0.1646728515625, -0.343994140625, 0.80615234375, 0.423828125, 0.70849609375, 0.7890625, -0.7763671875, 0.783203125, 0.03790283203125, 0.00646209716796875, 0.0855712890625, 0.2352294921875, 0.73388671875, 0.1275634765625, 0.1260986328125, 0.048797607421875, -0.52490234375, -0.98193359375, -0.473876953125, -0.03375244140625, 0.69287109375, -0.3984375, 0.2216796875, 0.468505859375, -0.08056640625, -0.86474609375, -0.464599609375, 0.07806396484375, -0.75390625, -0.587890625, 1.10546875, -0.06378173828125, 0.560546875, -0.1728515625, -0.57080078125, 0.1490478515625, 1.2705078125, 0.006195068359375, 0.1943359375, 0.42724609375, 0.04168701171875, -0.135986328125, 0.335205078125, 0.09906005859375, -0.0285186767578125, -0.322021484375, 0.7099609375, -0.1729736328125, 0.01396942138671875, -0.353271484375, 0.533203125, 0.2069091796875, 0.302978515625, -0.68310546875, -0.27685546875, 0.356201171875, 1.1591796875, 0.119384765625, 0.446044921875, 0.422119140625, 0.95263671875, 0.5419921875, 1.0234375, 0.41845703125, 0.195556640625, 0.513671875, 0.8662109375, 0.224609375, 0.2283935546875, 0.281005859375, 0.45361328125, 0.452392578125, 0.451904296875, 0.51220703125, 0.1688232421875, -0.454345703125, 0.0601806640625, -0.54736328125, 0.66357421875, -0.11590576171875, 0.94091796875, 0.2783203125, 0.69921875, -0.5654296875, -0.447509765625, -0.053253173828125, 0.51708984375, -0.5302734375, -0.93359375, -0.095458984375, 0.18994140625, 0.298828125, -0.2388916015625, 0.2200927734375, 0.40087890625, 0.6689453125, 0.9130859375, -0.04473876953125, -0.09234619140625, -0.75146484375, -0.97216796875, -1.2138671875, -0.1917724609375, -0.209716796875, 0.0144195556640625, 0.7138671875, -1.09375, 0.2763671875, 0.056915283203125, 0.0843505859375, 0.29248046875, -0.953125, 0.36572265625, -0.459228515625, 0.52490234375, -1.0341796875, 0.9013671875, -0.259033203125, 1.0615234375, -0.443359375, -0.2117919921875, -0.1134033203125, -0.56591796875, 0.69189453125, -0.1798095703125, 0.156005859375, 0.132568359375, -0.55126953125, -0.80615234375, -0.458251953125, -0.54150390625, -0.494384765625, 0.521484375, -0.60546875, 1.1123046875, 0.181884765625, -0.9541015625, 0.44921875, 0.5625, -0.978515625, 0.4169921875, 0.463623046875, 0.5947265625, -0.59765625, 1.603515625, 0.72265625, 0.41748046875, -0.54736328125, -0.310791015625, -0.418212890625, -0.200927734375, 0.06805419921875, -0.233154296875, -0.352783203125, 0.52392578125, 0.42138671875, -1.0615234375, 0.252685546875, -1.1689453125, -0.2919921875, -0.01500701904296875, -0.81640625, 1.1962890625, 0.6181640625, 0.247314453125, -0.59619140625, -0.27587890625, -0.1912841796875, 0.90478515625, 0.302734375, -0.29443359375, 0.1776123046875, 0.515625, -0.04827880859375, -0.0012350082397460938, 0.06353759765625, -0.73193359375, -0.04608154296875, 0.038848876953125, -0.324951171875, 0.998046875, 0.62060546875, -0.2001953125, 0.09490966796875, 0.63330078125, -0.685546875, -0.44580078125, -0.159912109375, 0.63232421875, -0.0723876953125, 0.548828125, 0.8974609375, -0.2188720703125, -0.397705078125, -1.1728515625, 0.703125, 0.142822265625, 0.8369140625, -0.88427734375, 0.640625, 0.57470703125, -0.55712890625, 0.354248046875, -0.89013671875, -0.01221466064453125, 0.98828125, -0.2042236328125, 0.7294921875, -1.1962890625, 0.164306640625, -0.011383056640625, 0.2286376953125, 0.6259765625, 0.353759765625, 0.85107421875, -0.2484130859375, -0.361328125, -0.1505126953125, 0.0168304443359375, -0.1837158203125, -0.595703125, 0.2100830078125, -0.7470703125, -0.259765625, -0.8486328125, 0.460693359375, 0.6787109375, 0.362548828125, -0.38671875, 0.302001953125, 0.444580078125, 0.859375, 0.6943359375, -0.17041015625, -0.165283203125, -0.80029296875, 0.48291015625, -0.0134124755859375, -0.3642578125, -0.5341796875, -0.693359375, -0.7216796875, -0.213134765625, 0.4033203125, -0.0670166015625, -1.109375, 0.09002685546875, -0.268798828125, 0.51025390625, -0.5732421875, -0.359619140625, -0.15380859375, 0.322021484375, 0.24951171875, -0.7177734375, 0.271484375, -1.1357421875, 0.54443359375, 0.61474609375, -0.6953125, -0.261474609375, -0.4853515625, -0.70166015625, -0.640625, 0.06451416015625, 0.796875, -0.0958251953125, 0.61279296875, -0.97607421875, 0.73681640625, 0.259765625, -0.50390625, 0.1937255859375, 0.263916015625, 0.14306640625, -0.09503173828125, 0.9013671875, -0.57470703125, -0.580078125, 0.83740234375, -1.08203125, -0.125732421875, -0.67333984375, 0.1837158203125, -0.355224609375, -0.2841796875, -0.04022216796875, 0.358642578125, 0.09710693359375, 0.25830078125, 0.2325439453125, 0.29443359375, -0.57568359375, -0.93798828125, 0.481689453125, 0.1697998046875, -0.376953125, 0.78759765625, 0.0074462890625, -0.5419921875, 0.1627197265625, 0.264892578125, -0.53564453125, 0.83203125, -0.8232421875, 0.384033203125, -0.166748046875, -0.60888671875, -0.379150390625, -0.49365234375, 0.68310546875, 0.157958984375, -0.61376953125, -0.25634765625, -0.8017578125, -0.316650390625, -0.448486328125, -1.12109375, 0.369873046875, 0.222412109375, -0.393310546875, -0.11798095703125, -0.1846923828125, -0.3212890625, -0.5224609375, -0.3583984375, -0.619140625, 0.5556640625, 0.203369140625, 0.703125, -0.031463623046875, -0.301025390625, 0.01384735107421875, 0.041473388671875, 0.1639404296875, -0.587890625, -0.05499267578125, 0.2763671875, -0.50634765625, -0.037261962890625, 0.242919921875, 0.27783203125, 0.13134765625, 0.60595703125, 0.0296783447265625, 0.52685546875, 0.458251953125, -0.603515625, 1.2421875, 0.56884765625, -1.166015625, 0.11383056640625, 0.44775390625, 0.12646484375, 1.1279296875, 0.0648193359375, -0.26171875, -0.51318359375, -0.89013671875, -0.279052734375, -0.65673828125, -0.0147857666015625, -0.57568359375, 0.10626220703125, -0.36962890625, 0.9716796875, -0.052642822265625, -0.346435546875, 0.0693359375, -1.509765625, 0.2181396484375, -0.689453125, -0.208984375, -0.73828125, -0.01123809814453125, -0.1695556640625, 1.04296875, -0.24462890625, 0.50146484375, 0.52587890625, -0.41455078125, 0.016693115234375, -0.394775390625, -0.50341796875, -0.6103515625, 0.23583984375, -0.08221435546875, -0.2666015625, 0.051727294921875, -0.7138671875, 0.88623046875, -1.15234375, -0.314453125, -0.5986328125, -0.046905517578125, -0.0655517578125, -0.0802001953125, 1.3623046875, -0.290283203125, -0.324951171875, -0.6748046875, 0.54736328125, 0.64697265625, -0.35986328125, -0.74169921875, -0.67236328125, -0.423095703125, -1.1591796875, 0.4130859375, -0.669921875, 0.04278564453125, -0.8046875, -0.33837890625, 0.95947265625, -0.191650390625, 0.1666259765625, 1.2353515625, -0.198486328125, -0.0045928955078125, -0.5673828125, 0.8642578125, 0.27783203125, -0.425537109375, -0.114501953125, 0.00836944580078125, -0.6845703125, 0.6591796875, -0.57275390625, -1.0615234375, -0.322509765625, 0.6005859375, 1.01953125, -0.481689453125, 0.64013671875, 0.151611328125, -0.86328125, -0.57470703125, 1.0048828125, 0.0266876220703125, -0.02728271484375, 0.95458984375, -0.5986328125, -0.325439453125, -0.1611328125, -0.22412109375, -0.134521484375, -0.429443359375, 1.125, -0.462158203125, -0.6123046875, 0.81396484375, 0.533203125, -1.3330078125, -0.78515625, -0.224853515625, 0.2364501953125, 0.0999755859375, -0.50439453125, 0.3486328125, 1.029296875, -0.5546875, 0.2548828125, 0.7685546875, 0.05670166015625, 0.62353515625, -0.05743408203125, 0.32861328125, -0.32861328125, 0.397216796875, 0.904296875, -0.66015625, -0.4111328125, -0.5830078125, 0.09967041015625, -0.420654296875, 0.3125, 0.65625, -0.54443359375, -0.051116943359375, 0.62353515625, 0.1343994140625, 0.84765625, -0.58642578125, -0.11724853515625, 0.50244140625, -0.6103515625, -0.64501953125, 0.003192901611328125, 0.51708984375, 0.1156005859375, 0.2548828125, -0.6279296875, 0.0192718505859375, 0.177001953125, 0.5634765625, -0.73046875, -0.93994140625, -0.61669921875, -0.92919921875, -0.3466796875, -0.32177734375, -0.2939453125, 0.11114501953125, 0.4306640625, 0.069091796875, -0.896484375, 0.124755859375, 0.39892578125, -0.6474609375, 0.97412109375, -1.0439453125, 0.09564208984375, -0.57080078125, 0.0200958251953125, -0.56689453125, -0.353759765625, -0.28515625, -0.093505859375, -0.56689453125, 0.1309814453125, 0.09844970703125, 0.462646484375, 0.0609130859375, 0.492919921875, 0.052581787109375, -0.345703125, 0.1019287109375, 0.310302734375, -0.1080322265625, 1.048828125, 0.333740234375, 0.194580078125, 0.62744140625, 0.049224853515625, -0.6064453125, -0.32275390625, 0.2890625, 0.759765625, -0.274658203125, -0.41796875, -0.89990234375, 0.10809326171875, -1.1640625, 0.203857421875, -0.568359375, -0.037506103515625, 0.135009765625, -0.2379150390625, 0.098388671875, 1.419921875, -0.270263671875, 0.3388671875, 0.447998046875, 0.052734375, 0.093994140625, 0.33642578125, -0.14404296875, 0.392822265625, 0.49072265625, -0.3603515625, 0.2269287109375, 0.339111328125, -0.1693115234375, 0.454345703125, -0.53955078125, -0.6630859375, -0.8486328125, -0.01473236083984375, -0.0882568359375, 0.5244140625, 0.454345703125, -0.52294921875, -0.45703125, -0.377685546875, -0.5732421875, 0.1851806640625, -1.0576171875, -0.86572265625, 0.459228515625, -0.2109375, -0.2440185546875, 0.26708984375, -0.5703125, -0.2398681640625, 0.156494140625, 0.3134765625, -0.818359375, 0.7216796875, -0.287841796875, 0.036376953125, -0.11083984375, 0.11773681640625, 0.395751953125, -0.0250701904296875, -0.94091796875, -0.6484375, 0.41552734375, 1.0166015625, 0.77587890625, 0.325439453125, -0.309326171875, -0.0271759033203125, -0.375244140625, 0.15087890625, -0.43408203125, 0.426513671875, -0.007472991943359375, 0.2958984375, -0.8798828125, -0.4130859375, 0.06842041015625, 0.37451171875, 0.17138671875, -0.1409912109375, -0.463134765625, 0.5322265625, 0.55517578125, 0.10516357421875, 1.208984375, 0.09210205078125, 0.96875, 0.275146484375, -0.08941650390625, -0.43603515625, 0.53076171875, 0.384521484375, 0.353271484375, -0.70556640625, 0.57861328125, 0.841796875, -0.03497314453125, -0.00701904296875, 0.6826171875, 0.422607421875, -0.34423828125, 0.058990478515625, -0.1717529296875, 0.05316162109375, 0.80078125, -0.6611328125, 0.39208984375, -0.154296875, -0.2529296875, -0.09368896484375, -0.56787109375, 0.6474609375, -0.291259765625, -0.049346923828125, -0.56103515625, -0.369140625, 0.466796875, 0.481689453125, 0.466064453125, 0.0830078125, 1.0439453125, 0.88916015625, 0.1119384765625, 0.478271484375, 0.279296875, 0.6787109375, -0.6328125, 0.2491455078125, 0.430419921875, 0.270263671875, -0.6123046875, -0.5078125, -0.98876953125, 0.73876953125, -0.84228515625, -0.27392578125, 0.88720703125, -0.77099609375, -0.04425048828125, -0.4326171875, 0.51416015625, -0.70166015625, 0.509765625, 0.333740234375, -0.212890625, -0.53759765625, 0.58154296875, -0.53076171875, 0.281494140625, 0.6669921875, 0.861328125, -0.1556396484375, 1.3935546875, 0.427734375, -0.1776123046875, -0.10626220703125, -0.067138671875, -0.21826171875, -0.439208984375, -0.306396484375, -0.404541015625, 0.0726318359375, -0.5263671875, -0.487548828125, -0.1715087890625, 0.306884765625, -0.31494140625, -0.9833984375, -0.5087890625, 0.2392578125, -0.90234375, 0.3837890625, -0.1500244140625, -0.2939453125, 0.1328125, -0.41552734375, -0.52490234375, -0.341796875, 0.0291900634765625, -0.43798828125, 0.89306640625, -0.4765625, -0.7392578125, -0.63525390625, -0.53271484375, -0.255859375, 0.2685546875, -0.56396484375, -0.77685546875, 0.00788116455078125, 0.67919921875, 0.2279052734375, 0.14453125, -0.5341796875, 0.0018014907836914062, 1.017578125, 0.87158203125, 0.349365234375, 0.69287109375, 0.58349609375, -0.2362060546875, 0.1551513671875, -0.54736328125, 0.71240234375, -0.1767578125, -0.0584716796875, -0.036407470703125, 0.284423828125, -0.65234375, -1.109375, 0.09185791015625, 0.5849609375, 0.078369140625, -0.93603515625, -1.5869140625, -0.436279296875, -0.87841796875, -0.05731201171875, -0.5625, 0.44287109375, 0.703125, -0.021148681640625, -0.14306640625, -1.025390625, 4.296875, 0.8271484375, 0.73046875, 0.51611328125, 0.2252197265625, 0.95849609375, 0.55859375, -0.474853515625, -0.1488037109375, -0.89404296875, 0.349609375, -0.61181640625, 0.2406005859375, 0.414794921875, 0.5634765625, 0.7119140625, -0.264404296875, 0.10260009765625, -0.0024013519287109375, -0.71337890625, -1.18359375, -0.12255859375, 0.06341552734375, 0.376220703125, -0.26123046875, 0.423583984375, 0.5732421875, -0.580078125, -0.0157470703125, -0.935546875, -0.0186920166015625, -0.431396484375, 0.84228515625, -0.171142578125, -0.07318115234375, 0.65869140625, -0.0004189014434814453, -0.57421875, -0.1806640625, 0.30859375, -0.296142578125, 0.1571044921875, 0.64111328125, -0.56103515625, -0.10699462890625, 0.42919921875, -0.1553955078125, 0.29296875, 0.2646484375, -0.97998046875, 1.029296875, 0.025146484375, 0.451171875, -0.413330078125, -0.85302734375, -0.02020263671875, 0.2498779296875, -0.30859375, 0.1273193359375, 0.259033203125, -0.057891845703125, 0.05841064453125, -0.1705322265625, 0.8837890625, -0.830078125, 0.8408203125, -0.243896484375, 0.1007080078125, -0.1610107421875, 0.01229095458984375, 0.2432861328125, -0.01200103759765625, -0.31689453125, -0.5625, 0.55419921875, 0.230712890625, -0.9169921875, 0.68603515625, 0.7509765625, -0.418212890625, 0.5966796875, -0.71044921875, -0.425537109375, -0.1536865234375, 0.6201171875, 1.0849609375, -0.77734375, -0.57470703125, -0.62744140625, 0.45166015625, 0.59814453125, 0.29443359375, 0.00812530517578125, -0.2275390625, -0.53125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Tags: implementation Correct Solution: ``` n, k = map(int, input().split()) vowels = ['a', 'e', 'i', 'o', 'u'] def find_nth(tab, S, n): amount, pos = (1 if tab[0] in S else 0), 0 while pos < len(tab) and amount < n: pos += 1 if tab[pos] in S: amount += 1 return pos def rhyme_type(lines, k): suffixes = [] for line in lines: amount = 0 for i in line: if i in vowels: amount += 1 if amount < k: return 'TRASH' rev = list(reversed(list(line))) ind_from_front = find_nth(rev, vowels, k) suffixes.append(line[-ind_from_front - 1:]) if all([suffixes[0] == x for x in suffixes]): return 'aaaa' if suffixes[0] == suffixes[1] and suffixes[2] == suffixes[3]: return 'aabb' if suffixes[0] == suffixes[2] and suffixes[1] == suffixes[3]: return 'abab' if suffixes[0] == suffixes[3] and suffixes[1] == suffixes[2]: return 'abba' return 'TRASH' all_rhymes = set() for _ in range(n): lines = [input(), input(), input(), input()] all_rhymes.add(rhyme_type(lines, k)) if 'TRASH' not in all_rhymes and len(all_rhymes) == 2 and 'aaaa' in all_rhymes: all_rhymes.remove('aaaa') print(list(all_rhymes)[0]) elif len(all_rhymes) > 1 or 'TRASH' in all_rhymes: print('NO') else: print(list(all_rhymes)[0]) ```
5,224
[ 0.1104736328125, 0.1304931640625, 0.0163421630859375, 0.03863525390625, -0.48388671875, -0.1300048828125, -0.1387939453125, -0.0177459716796875, 0.0850830078125, 0.73828125, 0.1878662109375, 0.07379150390625, 0.162109375, -0.8173828125, -0.62060546875, -0.10430908203125, -0.544921875, -0.8076171875, -0.299560546875, 0.18505859375, 0.0811767578125, 0.1558837890625, -1.259765625, -0.0501708984375, 0.05615234375, 0.81689453125, 0.5732421875, 0.234619140625, 1.47265625, 0.96435546875, 0.1204833984375, -0.353515625, 0.44970703125, -1.1162109375, -0.1436767578125, -0.16357421875, 0.470947265625, -0.325439453125, -0.30419921875, -0.92822265625, 0.5166015625, -0.228515625, 0.59375, -0.485595703125, -0.8291015625, -0.201416015625, -0.2252197265625, -0.60986328125, 0.06353759765625, -0.35498046875, 0.1566162109375, -0.6220703125, 0.8232421875, -0.308837890625, -0.0889892578125, -0.288818359375, -0.1885986328125, 0.01137542724609375, -0.5380859375, 0.1920166015625, 0.12188720703125, 0.3359375, -0.53125, -0.45263671875, -0.40283203125, 0.50830078125, 0.0240631103515625, -0.200439453125, -0.152587890625, -0.685546875, -0.09564208984375, 0.0279541015625, -0.24169921875, -0.59716796875, -0.89013671875, -0.030059814453125, -0.0128326416015625, -0.213623046875, -0.00861358642578125, 0.84814453125, 0.2449951171875, 0.56103515625, 0.0625, 0.6279296875, -0.61962890625, -0.76513671875, -0.2451171875, -0.04315185546875, 0.341796875, -0.487548828125, -0.337890625, 0.78564453125, -0.3623046875, 0.041748046875, 0.6298828125, 0.55810546875, -0.1688232421875, 0.64111328125, 0.8115234375, 0.80029296875, 0.62255859375, 0.70703125, 0.08935546875, 0.7666015625, -0.646484375, 0.129638671875, -0.255859375, 0.2030029296875, 0.08465576171875, -0.349609375, -0.2386474609375, -0.16015625, 0.209228515625, 0.49560546875, -0.1461181640625, 0.56689453125, -0.357666015625, 0.318115234375, -1.08203125, -0.151123046875, 0.484375, 0.6318359375, 0.1514892578125, 0.048065185546875, 0.38525390625, -0.552734375, -0.70849609375, 1.076171875, -0.8212890625, -0.0604248046875, 0.1080322265625, -0.27001953125, -0.09698486328125, 0.012847900390625, -0.1158447265625, 0.291748046875, -0.070556640625, 0.69677734375, 0.7978515625, -0.716796875, 0.69287109375, -0.350830078125, 0.0078125, 1.419921875, 0.59521484375, 0.3779296875, 0.6259765625, 0.345458984375, -1.2451171875, 0.189453125, -0.287841796875, 0.6044921875, 0.0011701583862304688, 0.0098876953125, -0.456298828125, 0.0654296875, -0.09307861328125, 0.436279296875, -0.00792694091796875, 0.272216796875, -0.383544921875, 0.1712646484375, -0.265625, 0.66943359375, -0.5, 0.8408203125, -0.1561279296875, -0.341796875, 0.19580078125, -0.72216796875, 0.5068359375, -0.1646728515625, -0.343994140625, 0.80615234375, 0.423828125, 0.70849609375, 0.7890625, -0.7763671875, 0.783203125, 0.03790283203125, 0.00646209716796875, 0.0855712890625, 0.2352294921875, 0.73388671875, 0.1275634765625, 0.1260986328125, 0.048797607421875, -0.52490234375, -0.98193359375, -0.473876953125, -0.03375244140625, 0.69287109375, -0.3984375, 0.2216796875, 0.468505859375, -0.08056640625, -0.86474609375, -0.464599609375, 0.07806396484375, -0.75390625, -0.587890625, 1.10546875, -0.06378173828125, 0.560546875, -0.1728515625, -0.57080078125, 0.1490478515625, 1.2705078125, 0.006195068359375, 0.1943359375, 0.42724609375, 0.04168701171875, -0.135986328125, 0.335205078125, 0.09906005859375, -0.0285186767578125, -0.322021484375, 0.7099609375, -0.1729736328125, 0.01396942138671875, -0.353271484375, 0.533203125, 0.2069091796875, 0.302978515625, -0.68310546875, -0.27685546875, 0.356201171875, 1.1591796875, 0.119384765625, 0.446044921875, 0.422119140625, 0.95263671875, 0.5419921875, 1.0234375, 0.41845703125, 0.195556640625, 0.513671875, 0.8662109375, 0.224609375, 0.2283935546875, 0.281005859375, 0.45361328125, 0.452392578125, 0.451904296875, 0.51220703125, 0.1688232421875, -0.454345703125, 0.0601806640625, -0.54736328125, 0.66357421875, -0.11590576171875, 0.94091796875, 0.2783203125, 0.69921875, -0.5654296875, -0.447509765625, -0.053253173828125, 0.51708984375, -0.5302734375, -0.93359375, -0.095458984375, 0.18994140625, 0.298828125, -0.2388916015625, 0.2200927734375, 0.40087890625, 0.6689453125, 0.9130859375, -0.04473876953125, -0.09234619140625, -0.75146484375, -0.97216796875, -1.2138671875, -0.1917724609375, -0.209716796875, 0.0144195556640625, 0.7138671875, -1.09375, 0.2763671875, 0.056915283203125, 0.0843505859375, 0.29248046875, -0.953125, 0.36572265625, -0.459228515625, 0.52490234375, -1.0341796875, 0.9013671875, -0.259033203125, 1.0615234375, -0.443359375, -0.2117919921875, -0.1134033203125, -0.56591796875, 0.69189453125, -0.1798095703125, 0.156005859375, 0.132568359375, -0.55126953125, -0.80615234375, -0.458251953125, -0.54150390625, -0.494384765625, 0.521484375, -0.60546875, 1.1123046875, 0.181884765625, -0.9541015625, 0.44921875, 0.5625, -0.978515625, 0.4169921875, 0.463623046875, 0.5947265625, -0.59765625, 1.603515625, 0.72265625, 0.41748046875, -0.54736328125, -0.310791015625, -0.418212890625, -0.200927734375, 0.06805419921875, -0.233154296875, -0.352783203125, 0.52392578125, 0.42138671875, -1.0615234375, 0.252685546875, -1.1689453125, -0.2919921875, -0.01500701904296875, -0.81640625, 1.1962890625, 0.6181640625, 0.247314453125, -0.59619140625, -0.27587890625, -0.1912841796875, 0.90478515625, 0.302734375, -0.29443359375, 0.1776123046875, 0.515625, -0.04827880859375, -0.0012350082397460938, 0.06353759765625, -0.73193359375, -0.04608154296875, 0.038848876953125, -0.324951171875, 0.998046875, 0.62060546875, -0.2001953125, 0.09490966796875, 0.63330078125, -0.685546875, -0.44580078125, -0.159912109375, 0.63232421875, -0.0723876953125, 0.548828125, 0.8974609375, -0.2188720703125, -0.397705078125, -1.1728515625, 0.703125, 0.142822265625, 0.8369140625, -0.88427734375, 0.640625, 0.57470703125, -0.55712890625, 0.354248046875, -0.89013671875, -0.01221466064453125, 0.98828125, -0.2042236328125, 0.7294921875, -1.1962890625, 0.164306640625, -0.011383056640625, 0.2286376953125, 0.6259765625, 0.353759765625, 0.85107421875, -0.2484130859375, -0.361328125, -0.1505126953125, 0.0168304443359375, -0.1837158203125, -0.595703125, 0.2100830078125, -0.7470703125, -0.259765625, -0.8486328125, 0.460693359375, 0.6787109375, 0.362548828125, -0.38671875, 0.302001953125, 0.444580078125, 0.859375, 0.6943359375, -0.17041015625, -0.165283203125, -0.80029296875, 0.48291015625, -0.0134124755859375, -0.3642578125, -0.5341796875, -0.693359375, -0.7216796875, -0.213134765625, 0.4033203125, -0.0670166015625, -1.109375, 0.09002685546875, -0.268798828125, 0.51025390625, -0.5732421875, -0.359619140625, -0.15380859375, 0.322021484375, 0.24951171875, -0.7177734375, 0.271484375, -1.1357421875, 0.54443359375, 0.61474609375, -0.6953125, -0.261474609375, -0.4853515625, -0.70166015625, -0.640625, 0.06451416015625, 0.796875, -0.0958251953125, 0.61279296875, -0.97607421875, 0.73681640625, 0.259765625, -0.50390625, 0.1937255859375, 0.263916015625, 0.14306640625, -0.09503173828125, 0.9013671875, -0.57470703125, -0.580078125, 0.83740234375, -1.08203125, -0.125732421875, -0.67333984375, 0.1837158203125, -0.355224609375, -0.2841796875, -0.04022216796875, 0.358642578125, 0.09710693359375, 0.25830078125, 0.2325439453125, 0.29443359375, -0.57568359375, -0.93798828125, 0.481689453125, 0.1697998046875, -0.376953125, 0.78759765625, 0.0074462890625, -0.5419921875, 0.1627197265625, 0.264892578125, -0.53564453125, 0.83203125, -0.8232421875, 0.384033203125, -0.166748046875, -0.60888671875, -0.379150390625, -0.49365234375, 0.68310546875, 0.157958984375, -0.61376953125, -0.25634765625, -0.8017578125, -0.316650390625, -0.448486328125, -1.12109375, 0.369873046875, 0.222412109375, -0.393310546875, -0.11798095703125, -0.1846923828125, -0.3212890625, -0.5224609375, -0.3583984375, -0.619140625, 0.5556640625, 0.203369140625, 0.703125, -0.031463623046875, -0.301025390625, 0.01384735107421875, 0.041473388671875, 0.1639404296875, -0.587890625, -0.05499267578125, 0.2763671875, -0.50634765625, -0.037261962890625, 0.242919921875, 0.27783203125, 0.13134765625, 0.60595703125, 0.0296783447265625, 0.52685546875, 0.458251953125, -0.603515625, 1.2421875, 0.56884765625, -1.166015625, 0.11383056640625, 0.44775390625, 0.12646484375, 1.1279296875, 0.0648193359375, -0.26171875, -0.51318359375, -0.89013671875, -0.279052734375, -0.65673828125, -0.0147857666015625, -0.57568359375, 0.10626220703125, -0.36962890625, 0.9716796875, -0.052642822265625, -0.346435546875, 0.0693359375, -1.509765625, 0.2181396484375, -0.689453125, -0.208984375, -0.73828125, -0.01123809814453125, -0.1695556640625, 1.04296875, -0.24462890625, 0.50146484375, 0.52587890625, -0.41455078125, 0.016693115234375, -0.394775390625, -0.50341796875, -0.6103515625, 0.23583984375, -0.08221435546875, -0.2666015625, 0.051727294921875, -0.7138671875, 0.88623046875, -1.15234375, -0.314453125, -0.5986328125, -0.046905517578125, -0.0655517578125, -0.0802001953125, 1.3623046875, -0.290283203125, -0.324951171875, -0.6748046875, 0.54736328125, 0.64697265625, -0.35986328125, -0.74169921875, -0.67236328125, -0.423095703125, -1.1591796875, 0.4130859375, -0.669921875, 0.04278564453125, -0.8046875, -0.33837890625, 0.95947265625, -0.191650390625, 0.1666259765625, 1.2353515625, -0.198486328125, -0.0045928955078125, -0.5673828125, 0.8642578125, 0.27783203125, -0.425537109375, -0.114501953125, 0.00836944580078125, -0.6845703125, 0.6591796875, -0.57275390625, -1.0615234375, -0.322509765625, 0.6005859375, 1.01953125, -0.481689453125, 0.64013671875, 0.151611328125, -0.86328125, -0.57470703125, 1.0048828125, 0.0266876220703125, -0.02728271484375, 0.95458984375, -0.5986328125, -0.325439453125, -0.1611328125, -0.22412109375, -0.134521484375, -0.429443359375, 1.125, -0.462158203125, -0.6123046875, 0.81396484375, 0.533203125, -1.3330078125, -0.78515625, -0.224853515625, 0.2364501953125, 0.0999755859375, -0.50439453125, 0.3486328125, 1.029296875, -0.5546875, 0.2548828125, 0.7685546875, 0.05670166015625, 0.62353515625, -0.05743408203125, 0.32861328125, -0.32861328125, 0.397216796875, 0.904296875, -0.66015625, -0.4111328125, -0.5830078125, 0.09967041015625, -0.420654296875, 0.3125, 0.65625, -0.54443359375, -0.051116943359375, 0.62353515625, 0.1343994140625, 0.84765625, -0.58642578125, -0.11724853515625, 0.50244140625, -0.6103515625, -0.64501953125, 0.003192901611328125, 0.51708984375, 0.1156005859375, 0.2548828125, -0.6279296875, 0.0192718505859375, 0.177001953125, 0.5634765625, -0.73046875, -0.93994140625, -0.61669921875, -0.92919921875, -0.3466796875, -0.32177734375, -0.2939453125, 0.11114501953125, 0.4306640625, 0.069091796875, -0.896484375, 0.124755859375, 0.39892578125, -0.6474609375, 0.97412109375, -1.0439453125, 0.09564208984375, -0.57080078125, 0.0200958251953125, -0.56689453125, -0.353759765625, -0.28515625, -0.093505859375, -0.56689453125, 0.1309814453125, 0.09844970703125, 0.462646484375, 0.0609130859375, 0.492919921875, 0.052581787109375, -0.345703125, 0.1019287109375, 0.310302734375, -0.1080322265625, 1.048828125, 0.333740234375, 0.194580078125, 0.62744140625, 0.049224853515625, -0.6064453125, -0.32275390625, 0.2890625, 0.759765625, -0.274658203125, -0.41796875, -0.89990234375, 0.10809326171875, -1.1640625, 0.203857421875, -0.568359375, -0.037506103515625, 0.135009765625, -0.2379150390625, 0.098388671875, 1.419921875, -0.270263671875, 0.3388671875, 0.447998046875, 0.052734375, 0.093994140625, 0.33642578125, -0.14404296875, 0.392822265625, 0.49072265625, -0.3603515625, 0.2269287109375, 0.339111328125, -0.1693115234375, 0.454345703125, -0.53955078125, -0.6630859375, -0.8486328125, -0.01473236083984375, -0.0882568359375, 0.5244140625, 0.454345703125, -0.52294921875, -0.45703125, -0.377685546875, -0.5732421875, 0.1851806640625, -1.0576171875, -0.86572265625, 0.459228515625, -0.2109375, -0.2440185546875, 0.26708984375, -0.5703125, -0.2398681640625, 0.156494140625, 0.3134765625, -0.818359375, 0.7216796875, -0.287841796875, 0.036376953125, -0.11083984375, 0.11773681640625, 0.395751953125, -0.0250701904296875, -0.94091796875, -0.6484375, 0.41552734375, 1.0166015625, 0.77587890625, 0.325439453125, -0.309326171875, -0.0271759033203125, -0.375244140625, 0.15087890625, -0.43408203125, 0.426513671875, -0.007472991943359375, 0.2958984375, -0.8798828125, -0.4130859375, 0.06842041015625, 0.37451171875, 0.17138671875, -0.1409912109375, -0.463134765625, 0.5322265625, 0.55517578125, 0.10516357421875, 1.208984375, 0.09210205078125, 0.96875, 0.275146484375, -0.08941650390625, -0.43603515625, 0.53076171875, 0.384521484375, 0.353271484375, -0.70556640625, 0.57861328125, 0.841796875, -0.03497314453125, -0.00701904296875, 0.6826171875, 0.422607421875, -0.34423828125, 0.058990478515625, -0.1717529296875, 0.05316162109375, 0.80078125, -0.6611328125, 0.39208984375, -0.154296875, -0.2529296875, -0.09368896484375, -0.56787109375, 0.6474609375, -0.291259765625, -0.049346923828125, -0.56103515625, -0.369140625, 0.466796875, 0.481689453125, 0.466064453125, 0.0830078125, 1.0439453125, 0.88916015625, 0.1119384765625, 0.478271484375, 0.279296875, 0.6787109375, -0.6328125, 0.2491455078125, 0.430419921875, 0.270263671875, -0.6123046875, -0.5078125, -0.98876953125, 0.73876953125, -0.84228515625, -0.27392578125, 0.88720703125, -0.77099609375, -0.04425048828125, -0.4326171875, 0.51416015625, -0.70166015625, 0.509765625, 0.333740234375, -0.212890625, -0.53759765625, 0.58154296875, -0.53076171875, 0.281494140625, 0.6669921875, 0.861328125, -0.1556396484375, 1.3935546875, 0.427734375, -0.1776123046875, -0.10626220703125, -0.067138671875, -0.21826171875, -0.439208984375, -0.306396484375, -0.404541015625, 0.0726318359375, -0.5263671875, -0.487548828125, -0.1715087890625, 0.306884765625, -0.31494140625, -0.9833984375, -0.5087890625, 0.2392578125, -0.90234375, 0.3837890625, -0.1500244140625, -0.2939453125, 0.1328125, -0.41552734375, -0.52490234375, -0.341796875, 0.0291900634765625, -0.43798828125, 0.89306640625, -0.4765625, -0.7392578125, -0.63525390625, -0.53271484375, -0.255859375, 0.2685546875, -0.56396484375, -0.77685546875, 0.00788116455078125, 0.67919921875, 0.2279052734375, 0.14453125, -0.5341796875, 0.0018014907836914062, 1.017578125, 0.87158203125, 0.349365234375, 0.69287109375, 0.58349609375, -0.2362060546875, 0.1551513671875, -0.54736328125, 0.71240234375, -0.1767578125, -0.0584716796875, -0.036407470703125, 0.284423828125, -0.65234375, -1.109375, 0.09185791015625, 0.5849609375, 0.078369140625, -0.93603515625, -1.5869140625, -0.436279296875, -0.87841796875, -0.05731201171875, -0.5625, 0.44287109375, 0.703125, -0.021148681640625, -0.14306640625, -1.025390625, 4.296875, 0.8271484375, 0.73046875, 0.51611328125, 0.2252197265625, 0.95849609375, 0.55859375, -0.474853515625, -0.1488037109375, -0.89404296875, 0.349609375, -0.61181640625, 0.2406005859375, 0.414794921875, 0.5634765625, 0.7119140625, -0.264404296875, 0.10260009765625, -0.0024013519287109375, -0.71337890625, -1.18359375, -0.12255859375, 0.06341552734375, 0.376220703125, -0.26123046875, 0.423583984375, 0.5732421875, -0.580078125, -0.0157470703125, -0.935546875, -0.0186920166015625, -0.431396484375, 0.84228515625, -0.171142578125, -0.07318115234375, 0.65869140625, -0.0004189014434814453, -0.57421875, -0.1806640625, 0.30859375, -0.296142578125, 0.1571044921875, 0.64111328125, -0.56103515625, -0.10699462890625, 0.42919921875, -0.1553955078125, 0.29296875, 0.2646484375, -0.97998046875, 1.029296875, 0.025146484375, 0.451171875, -0.413330078125, -0.85302734375, -0.02020263671875, 0.2498779296875, -0.30859375, 0.1273193359375, 0.259033203125, -0.057891845703125, 0.05841064453125, -0.1705322265625, 0.8837890625, -0.830078125, 0.8408203125, -0.243896484375, 0.1007080078125, -0.1610107421875, 0.01229095458984375, 0.2432861328125, -0.01200103759765625, -0.31689453125, -0.5625, 0.55419921875, 0.230712890625, -0.9169921875, 0.68603515625, 0.7509765625, -0.418212890625, 0.5966796875, -0.71044921875, -0.425537109375, -0.1536865234375, 0.6201171875, 1.0849609375, -0.77734375, -0.57470703125, -0.62744140625, 0.45166015625, 0.59814453125, 0.29443359375, 0.00812530517578125, -0.2275390625, -0.53125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Tags: implementation Correct Solution: ``` n, k = map(int, input().split()) def get_suffix(line): position = 0 for _ in range(k): position -= 1 while -position <= len(line) and line[position] not in 'aeiou': position -= 1 if -position > len(line): return '' return line[position:] common_rhyme_type = 'aaaa' for _ in range(n): s1, s2, s3, s4 = [get_suffix(input()) for _ in range(4)] if '' in (s1, s2, s3, s4): print('NO') break if s1 == s2 == s3 == s4: rhyme_type = 'aaaa' elif s1 == s2 and s3 == s4: rhyme_type = 'aabb' elif s1 == s3 and s2 == s4: rhyme_type = 'abab' elif s1 == s4 and s2 == s3: rhyme_type = 'abba' else: print('NO') break if rhyme_type != 'aaaa': if common_rhyme_type != 'aaaa' and rhyme_type != common_rhyme_type: print('NO') break else: common_rhyme_type = rhyme_type else: print(common_rhyme_type) ```
5,225
[ 0.1104736328125, 0.1304931640625, 0.0163421630859375, 0.03863525390625, -0.48388671875, -0.1300048828125, -0.1387939453125, -0.0177459716796875, 0.0850830078125, 0.73828125, 0.1878662109375, 0.07379150390625, 0.162109375, -0.8173828125, -0.62060546875, -0.10430908203125, -0.544921875, -0.8076171875, -0.299560546875, 0.18505859375, 0.0811767578125, 0.1558837890625, -1.259765625, -0.0501708984375, 0.05615234375, 0.81689453125, 0.5732421875, 0.234619140625, 1.47265625, 0.96435546875, 0.1204833984375, -0.353515625, 0.44970703125, -1.1162109375, -0.1436767578125, -0.16357421875, 0.470947265625, -0.325439453125, -0.30419921875, -0.92822265625, 0.5166015625, -0.228515625, 0.59375, -0.485595703125, -0.8291015625, -0.201416015625, -0.2252197265625, -0.60986328125, 0.06353759765625, -0.35498046875, 0.1566162109375, -0.6220703125, 0.8232421875, -0.308837890625, -0.0889892578125, -0.288818359375, -0.1885986328125, 0.01137542724609375, -0.5380859375, 0.1920166015625, 0.12188720703125, 0.3359375, -0.53125, -0.45263671875, -0.40283203125, 0.50830078125, 0.0240631103515625, -0.200439453125, -0.152587890625, -0.685546875, -0.09564208984375, 0.0279541015625, -0.24169921875, -0.59716796875, -0.89013671875, -0.030059814453125, -0.0128326416015625, -0.213623046875, -0.00861358642578125, 0.84814453125, 0.2449951171875, 0.56103515625, 0.0625, 0.6279296875, -0.61962890625, -0.76513671875, -0.2451171875, -0.04315185546875, 0.341796875, -0.487548828125, -0.337890625, 0.78564453125, -0.3623046875, 0.041748046875, 0.6298828125, 0.55810546875, -0.1688232421875, 0.64111328125, 0.8115234375, 0.80029296875, 0.62255859375, 0.70703125, 0.08935546875, 0.7666015625, -0.646484375, 0.129638671875, -0.255859375, 0.2030029296875, 0.08465576171875, -0.349609375, -0.2386474609375, -0.16015625, 0.209228515625, 0.49560546875, -0.1461181640625, 0.56689453125, -0.357666015625, 0.318115234375, -1.08203125, -0.151123046875, 0.484375, 0.6318359375, 0.1514892578125, 0.048065185546875, 0.38525390625, -0.552734375, -0.70849609375, 1.076171875, -0.8212890625, -0.0604248046875, 0.1080322265625, -0.27001953125, -0.09698486328125, 0.012847900390625, -0.1158447265625, 0.291748046875, -0.070556640625, 0.69677734375, 0.7978515625, -0.716796875, 0.69287109375, -0.350830078125, 0.0078125, 1.419921875, 0.59521484375, 0.3779296875, 0.6259765625, 0.345458984375, -1.2451171875, 0.189453125, -0.287841796875, 0.6044921875, 0.0011701583862304688, 0.0098876953125, -0.456298828125, 0.0654296875, -0.09307861328125, 0.436279296875, -0.00792694091796875, 0.272216796875, -0.383544921875, 0.1712646484375, -0.265625, 0.66943359375, -0.5, 0.8408203125, -0.1561279296875, -0.341796875, 0.19580078125, -0.72216796875, 0.5068359375, -0.1646728515625, -0.343994140625, 0.80615234375, 0.423828125, 0.70849609375, 0.7890625, -0.7763671875, 0.783203125, 0.03790283203125, 0.00646209716796875, 0.0855712890625, 0.2352294921875, 0.73388671875, 0.1275634765625, 0.1260986328125, 0.048797607421875, -0.52490234375, -0.98193359375, -0.473876953125, -0.03375244140625, 0.69287109375, -0.3984375, 0.2216796875, 0.468505859375, -0.08056640625, -0.86474609375, -0.464599609375, 0.07806396484375, -0.75390625, -0.587890625, 1.10546875, -0.06378173828125, 0.560546875, -0.1728515625, -0.57080078125, 0.1490478515625, 1.2705078125, 0.006195068359375, 0.1943359375, 0.42724609375, 0.04168701171875, -0.135986328125, 0.335205078125, 0.09906005859375, -0.0285186767578125, -0.322021484375, 0.7099609375, -0.1729736328125, 0.01396942138671875, -0.353271484375, 0.533203125, 0.2069091796875, 0.302978515625, -0.68310546875, -0.27685546875, 0.356201171875, 1.1591796875, 0.119384765625, 0.446044921875, 0.422119140625, 0.95263671875, 0.5419921875, 1.0234375, 0.41845703125, 0.195556640625, 0.513671875, 0.8662109375, 0.224609375, 0.2283935546875, 0.281005859375, 0.45361328125, 0.452392578125, 0.451904296875, 0.51220703125, 0.1688232421875, -0.454345703125, 0.0601806640625, -0.54736328125, 0.66357421875, -0.11590576171875, 0.94091796875, 0.2783203125, 0.69921875, -0.5654296875, -0.447509765625, -0.053253173828125, 0.51708984375, -0.5302734375, -0.93359375, -0.095458984375, 0.18994140625, 0.298828125, -0.2388916015625, 0.2200927734375, 0.40087890625, 0.6689453125, 0.9130859375, -0.04473876953125, -0.09234619140625, -0.75146484375, -0.97216796875, -1.2138671875, -0.1917724609375, -0.209716796875, 0.0144195556640625, 0.7138671875, -1.09375, 0.2763671875, 0.056915283203125, 0.0843505859375, 0.29248046875, -0.953125, 0.36572265625, -0.459228515625, 0.52490234375, -1.0341796875, 0.9013671875, -0.259033203125, 1.0615234375, -0.443359375, -0.2117919921875, -0.1134033203125, -0.56591796875, 0.69189453125, -0.1798095703125, 0.156005859375, 0.132568359375, -0.55126953125, -0.80615234375, -0.458251953125, -0.54150390625, -0.494384765625, 0.521484375, -0.60546875, 1.1123046875, 0.181884765625, -0.9541015625, 0.44921875, 0.5625, -0.978515625, 0.4169921875, 0.463623046875, 0.5947265625, -0.59765625, 1.603515625, 0.72265625, 0.41748046875, -0.54736328125, -0.310791015625, -0.418212890625, -0.200927734375, 0.06805419921875, -0.233154296875, -0.352783203125, 0.52392578125, 0.42138671875, -1.0615234375, 0.252685546875, -1.1689453125, -0.2919921875, -0.01500701904296875, -0.81640625, 1.1962890625, 0.6181640625, 0.247314453125, -0.59619140625, -0.27587890625, -0.1912841796875, 0.90478515625, 0.302734375, -0.29443359375, 0.1776123046875, 0.515625, -0.04827880859375, -0.0012350082397460938, 0.06353759765625, -0.73193359375, -0.04608154296875, 0.038848876953125, -0.324951171875, 0.998046875, 0.62060546875, -0.2001953125, 0.09490966796875, 0.63330078125, -0.685546875, -0.44580078125, -0.159912109375, 0.63232421875, -0.0723876953125, 0.548828125, 0.8974609375, -0.2188720703125, -0.397705078125, -1.1728515625, 0.703125, 0.142822265625, 0.8369140625, -0.88427734375, 0.640625, 0.57470703125, -0.55712890625, 0.354248046875, -0.89013671875, -0.01221466064453125, 0.98828125, -0.2042236328125, 0.7294921875, -1.1962890625, 0.164306640625, -0.011383056640625, 0.2286376953125, 0.6259765625, 0.353759765625, 0.85107421875, -0.2484130859375, -0.361328125, -0.1505126953125, 0.0168304443359375, -0.1837158203125, -0.595703125, 0.2100830078125, -0.7470703125, -0.259765625, -0.8486328125, 0.460693359375, 0.6787109375, 0.362548828125, -0.38671875, 0.302001953125, 0.444580078125, 0.859375, 0.6943359375, -0.17041015625, -0.165283203125, -0.80029296875, 0.48291015625, -0.0134124755859375, -0.3642578125, -0.5341796875, -0.693359375, -0.7216796875, -0.213134765625, 0.4033203125, -0.0670166015625, -1.109375, 0.09002685546875, -0.268798828125, 0.51025390625, -0.5732421875, -0.359619140625, -0.15380859375, 0.322021484375, 0.24951171875, -0.7177734375, 0.271484375, -1.1357421875, 0.54443359375, 0.61474609375, -0.6953125, -0.261474609375, -0.4853515625, -0.70166015625, -0.640625, 0.06451416015625, 0.796875, -0.0958251953125, 0.61279296875, -0.97607421875, 0.73681640625, 0.259765625, -0.50390625, 0.1937255859375, 0.263916015625, 0.14306640625, -0.09503173828125, 0.9013671875, -0.57470703125, -0.580078125, 0.83740234375, -1.08203125, -0.125732421875, -0.67333984375, 0.1837158203125, -0.355224609375, -0.2841796875, -0.04022216796875, 0.358642578125, 0.09710693359375, 0.25830078125, 0.2325439453125, 0.29443359375, -0.57568359375, -0.93798828125, 0.481689453125, 0.1697998046875, -0.376953125, 0.78759765625, 0.0074462890625, -0.5419921875, 0.1627197265625, 0.264892578125, -0.53564453125, 0.83203125, -0.8232421875, 0.384033203125, -0.166748046875, -0.60888671875, -0.379150390625, -0.49365234375, 0.68310546875, 0.157958984375, -0.61376953125, -0.25634765625, -0.8017578125, -0.316650390625, -0.448486328125, -1.12109375, 0.369873046875, 0.222412109375, -0.393310546875, -0.11798095703125, -0.1846923828125, -0.3212890625, -0.5224609375, -0.3583984375, -0.619140625, 0.5556640625, 0.203369140625, 0.703125, -0.031463623046875, -0.301025390625, 0.01384735107421875, 0.041473388671875, 0.1639404296875, -0.587890625, -0.05499267578125, 0.2763671875, -0.50634765625, -0.037261962890625, 0.242919921875, 0.27783203125, 0.13134765625, 0.60595703125, 0.0296783447265625, 0.52685546875, 0.458251953125, -0.603515625, 1.2421875, 0.56884765625, -1.166015625, 0.11383056640625, 0.44775390625, 0.12646484375, 1.1279296875, 0.0648193359375, -0.26171875, -0.51318359375, -0.89013671875, -0.279052734375, -0.65673828125, -0.0147857666015625, -0.57568359375, 0.10626220703125, -0.36962890625, 0.9716796875, -0.052642822265625, -0.346435546875, 0.0693359375, -1.509765625, 0.2181396484375, -0.689453125, -0.208984375, -0.73828125, -0.01123809814453125, -0.1695556640625, 1.04296875, -0.24462890625, 0.50146484375, 0.52587890625, -0.41455078125, 0.016693115234375, -0.394775390625, -0.50341796875, -0.6103515625, 0.23583984375, -0.08221435546875, -0.2666015625, 0.051727294921875, -0.7138671875, 0.88623046875, -1.15234375, -0.314453125, -0.5986328125, -0.046905517578125, -0.0655517578125, -0.0802001953125, 1.3623046875, -0.290283203125, -0.324951171875, -0.6748046875, 0.54736328125, 0.64697265625, -0.35986328125, -0.74169921875, -0.67236328125, -0.423095703125, -1.1591796875, 0.4130859375, -0.669921875, 0.04278564453125, -0.8046875, -0.33837890625, 0.95947265625, -0.191650390625, 0.1666259765625, 1.2353515625, -0.198486328125, -0.0045928955078125, -0.5673828125, 0.8642578125, 0.27783203125, -0.425537109375, -0.114501953125, 0.00836944580078125, -0.6845703125, 0.6591796875, -0.57275390625, -1.0615234375, -0.322509765625, 0.6005859375, 1.01953125, -0.481689453125, 0.64013671875, 0.151611328125, -0.86328125, -0.57470703125, 1.0048828125, 0.0266876220703125, -0.02728271484375, 0.95458984375, -0.5986328125, -0.325439453125, -0.1611328125, -0.22412109375, -0.134521484375, -0.429443359375, 1.125, -0.462158203125, -0.6123046875, 0.81396484375, 0.533203125, -1.3330078125, -0.78515625, -0.224853515625, 0.2364501953125, 0.0999755859375, -0.50439453125, 0.3486328125, 1.029296875, -0.5546875, 0.2548828125, 0.7685546875, 0.05670166015625, 0.62353515625, -0.05743408203125, 0.32861328125, -0.32861328125, 0.397216796875, 0.904296875, -0.66015625, -0.4111328125, -0.5830078125, 0.09967041015625, -0.420654296875, 0.3125, 0.65625, -0.54443359375, -0.051116943359375, 0.62353515625, 0.1343994140625, 0.84765625, -0.58642578125, -0.11724853515625, 0.50244140625, -0.6103515625, -0.64501953125, 0.003192901611328125, 0.51708984375, 0.1156005859375, 0.2548828125, -0.6279296875, 0.0192718505859375, 0.177001953125, 0.5634765625, -0.73046875, -0.93994140625, -0.61669921875, -0.92919921875, -0.3466796875, -0.32177734375, -0.2939453125, 0.11114501953125, 0.4306640625, 0.069091796875, -0.896484375, 0.124755859375, 0.39892578125, -0.6474609375, 0.97412109375, -1.0439453125, 0.09564208984375, -0.57080078125, 0.0200958251953125, -0.56689453125, -0.353759765625, -0.28515625, -0.093505859375, -0.56689453125, 0.1309814453125, 0.09844970703125, 0.462646484375, 0.0609130859375, 0.492919921875, 0.052581787109375, -0.345703125, 0.1019287109375, 0.310302734375, -0.1080322265625, 1.048828125, 0.333740234375, 0.194580078125, 0.62744140625, 0.049224853515625, -0.6064453125, -0.32275390625, 0.2890625, 0.759765625, -0.274658203125, -0.41796875, -0.89990234375, 0.10809326171875, -1.1640625, 0.203857421875, -0.568359375, -0.037506103515625, 0.135009765625, -0.2379150390625, 0.098388671875, 1.419921875, -0.270263671875, 0.3388671875, 0.447998046875, 0.052734375, 0.093994140625, 0.33642578125, -0.14404296875, 0.392822265625, 0.49072265625, -0.3603515625, 0.2269287109375, 0.339111328125, -0.1693115234375, 0.454345703125, -0.53955078125, -0.6630859375, -0.8486328125, -0.01473236083984375, -0.0882568359375, 0.5244140625, 0.454345703125, -0.52294921875, -0.45703125, -0.377685546875, -0.5732421875, 0.1851806640625, -1.0576171875, -0.86572265625, 0.459228515625, -0.2109375, -0.2440185546875, 0.26708984375, -0.5703125, -0.2398681640625, 0.156494140625, 0.3134765625, -0.818359375, 0.7216796875, -0.287841796875, 0.036376953125, -0.11083984375, 0.11773681640625, 0.395751953125, -0.0250701904296875, -0.94091796875, -0.6484375, 0.41552734375, 1.0166015625, 0.77587890625, 0.325439453125, -0.309326171875, -0.0271759033203125, -0.375244140625, 0.15087890625, -0.43408203125, 0.426513671875, -0.007472991943359375, 0.2958984375, -0.8798828125, -0.4130859375, 0.06842041015625, 0.37451171875, 0.17138671875, -0.1409912109375, -0.463134765625, 0.5322265625, 0.55517578125, 0.10516357421875, 1.208984375, 0.09210205078125, 0.96875, 0.275146484375, -0.08941650390625, -0.43603515625, 0.53076171875, 0.384521484375, 0.353271484375, -0.70556640625, 0.57861328125, 0.841796875, -0.03497314453125, -0.00701904296875, 0.6826171875, 0.422607421875, -0.34423828125, 0.058990478515625, -0.1717529296875, 0.05316162109375, 0.80078125, -0.6611328125, 0.39208984375, -0.154296875, -0.2529296875, -0.09368896484375, -0.56787109375, 0.6474609375, -0.291259765625, -0.049346923828125, -0.56103515625, -0.369140625, 0.466796875, 0.481689453125, 0.466064453125, 0.0830078125, 1.0439453125, 0.88916015625, 0.1119384765625, 0.478271484375, 0.279296875, 0.6787109375, -0.6328125, 0.2491455078125, 0.430419921875, 0.270263671875, -0.6123046875, -0.5078125, -0.98876953125, 0.73876953125, -0.84228515625, -0.27392578125, 0.88720703125, -0.77099609375, -0.04425048828125, -0.4326171875, 0.51416015625, -0.70166015625, 0.509765625, 0.333740234375, -0.212890625, -0.53759765625, 0.58154296875, -0.53076171875, 0.281494140625, 0.6669921875, 0.861328125, -0.1556396484375, 1.3935546875, 0.427734375, -0.1776123046875, -0.10626220703125, -0.067138671875, -0.21826171875, -0.439208984375, -0.306396484375, -0.404541015625, 0.0726318359375, -0.5263671875, -0.487548828125, -0.1715087890625, 0.306884765625, -0.31494140625, -0.9833984375, -0.5087890625, 0.2392578125, -0.90234375, 0.3837890625, -0.1500244140625, -0.2939453125, 0.1328125, -0.41552734375, -0.52490234375, -0.341796875, 0.0291900634765625, -0.43798828125, 0.89306640625, -0.4765625, -0.7392578125, -0.63525390625, -0.53271484375, -0.255859375, 0.2685546875, -0.56396484375, -0.77685546875, 0.00788116455078125, 0.67919921875, 0.2279052734375, 0.14453125, -0.5341796875, 0.0018014907836914062, 1.017578125, 0.87158203125, 0.349365234375, 0.69287109375, 0.58349609375, -0.2362060546875, 0.1551513671875, -0.54736328125, 0.71240234375, -0.1767578125, -0.0584716796875, -0.036407470703125, 0.284423828125, -0.65234375, -1.109375, 0.09185791015625, 0.5849609375, 0.078369140625, -0.93603515625, -1.5869140625, -0.436279296875, -0.87841796875, -0.05731201171875, -0.5625, 0.44287109375, 0.703125, -0.021148681640625, -0.14306640625, -1.025390625, 4.296875, 0.8271484375, 0.73046875, 0.51611328125, 0.2252197265625, 0.95849609375, 0.55859375, -0.474853515625, -0.1488037109375, -0.89404296875, 0.349609375, -0.61181640625, 0.2406005859375, 0.414794921875, 0.5634765625, 0.7119140625, -0.264404296875, 0.10260009765625, -0.0024013519287109375, -0.71337890625, -1.18359375, -0.12255859375, 0.06341552734375, 0.376220703125, -0.26123046875, 0.423583984375, 0.5732421875, -0.580078125, -0.0157470703125, -0.935546875, -0.0186920166015625, -0.431396484375, 0.84228515625, -0.171142578125, -0.07318115234375, 0.65869140625, -0.0004189014434814453, -0.57421875, -0.1806640625, 0.30859375, -0.296142578125, 0.1571044921875, 0.64111328125, -0.56103515625, -0.10699462890625, 0.42919921875, -0.1553955078125, 0.29296875, 0.2646484375, -0.97998046875, 1.029296875, 0.025146484375, 0.451171875, -0.413330078125, -0.85302734375, -0.02020263671875, 0.2498779296875, -0.30859375, 0.1273193359375, 0.259033203125, -0.057891845703125, 0.05841064453125, -0.1705322265625, 0.8837890625, -0.830078125, 0.8408203125, -0.243896484375, 0.1007080078125, -0.1610107421875, 0.01229095458984375, 0.2432861328125, -0.01200103759765625, -0.31689453125, -0.5625, 0.55419921875, 0.230712890625, -0.9169921875, 0.68603515625, 0.7509765625, -0.418212890625, 0.5966796875, -0.71044921875, -0.425537109375, -0.1536865234375, 0.6201171875, 1.0849609375, -0.77734375, -0.57470703125, -0.62744140625, 0.45166015625, 0.59814453125, 0.29443359375, 0.00812530517578125, -0.2275390625, -0.53125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Tags: implementation Correct Solution: ``` #------------------------template--------------------------# import os import sys from math import * from collections import * from fractions import * from bisect import * from heapq import* from io import BytesIO, IOBase def vsInput(): sys.stdin = open('input.txt', 'r') sys.stdout = open('output.txt', 'w') BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") ALPHA='abcdefghijklmnopqrstuvwxyz' M=10**9+7 EPS=1e-6 def value():return tuple(map(int,input().split())) def array():return [int(i) for i in input().split()] def Int():return int(input()) def Str():return input() def arrayS():return [i for i in input().split()] #-------------------------code---------------------------# # vsInput() ACCEPTED={'aaaa','aabb','abba','abab'} vowels='aeiou' nul='abcd' nu=0 def operate(s): global nu c=0 for i in range(len(s)-1,-1,-1): if(s[i] in vowels): c+=1 if(c==k): return s[i:] nu=(nu+1)%4 return nul[nu] def rhymes(a): a=[operate(i) for i in a] # print(a) ID={} id=0 ans='' for i in a: if(i not in ID): ID[i]=nul[id] id+=1 ans+=ID[i] return ans n,k=value() scheme=set() for i in range(n): a=[] for j in range(4): a.append(input()) scheme.add(rhymes(a)) # print(scheme) for i in scheme: if(i not in ACCEPTED): print("NO") exit() if(len(scheme)>2): print("NO") elif(len(scheme)==2): if('aaaa' not in scheme): print("NO") else: for i in scheme: if(i!='aaaa'): print(i) else: print(*scheme) ```
5,226
[ 0.1104736328125, 0.1304931640625, 0.0163421630859375, 0.03863525390625, -0.48388671875, -0.1300048828125, -0.1387939453125, -0.0177459716796875, 0.0850830078125, 0.73828125, 0.1878662109375, 0.07379150390625, 0.162109375, -0.8173828125, -0.62060546875, -0.10430908203125, -0.544921875, -0.8076171875, -0.299560546875, 0.18505859375, 0.0811767578125, 0.1558837890625, -1.259765625, -0.0501708984375, 0.05615234375, 0.81689453125, 0.5732421875, 0.234619140625, 1.47265625, 0.96435546875, 0.1204833984375, -0.353515625, 0.44970703125, -1.1162109375, -0.1436767578125, -0.16357421875, 0.470947265625, -0.325439453125, -0.30419921875, -0.92822265625, 0.5166015625, -0.228515625, 0.59375, -0.485595703125, -0.8291015625, -0.201416015625, -0.2252197265625, -0.60986328125, 0.06353759765625, -0.35498046875, 0.1566162109375, -0.6220703125, 0.8232421875, -0.308837890625, -0.0889892578125, -0.288818359375, -0.1885986328125, 0.01137542724609375, -0.5380859375, 0.1920166015625, 0.12188720703125, 0.3359375, -0.53125, -0.45263671875, -0.40283203125, 0.50830078125, 0.0240631103515625, -0.200439453125, -0.152587890625, -0.685546875, -0.09564208984375, 0.0279541015625, -0.24169921875, -0.59716796875, -0.89013671875, -0.030059814453125, -0.0128326416015625, -0.213623046875, -0.00861358642578125, 0.84814453125, 0.2449951171875, 0.56103515625, 0.0625, 0.6279296875, -0.61962890625, -0.76513671875, -0.2451171875, -0.04315185546875, 0.341796875, -0.487548828125, -0.337890625, 0.78564453125, -0.3623046875, 0.041748046875, 0.6298828125, 0.55810546875, -0.1688232421875, 0.64111328125, 0.8115234375, 0.80029296875, 0.62255859375, 0.70703125, 0.08935546875, 0.7666015625, -0.646484375, 0.129638671875, -0.255859375, 0.2030029296875, 0.08465576171875, -0.349609375, -0.2386474609375, -0.16015625, 0.209228515625, 0.49560546875, -0.1461181640625, 0.56689453125, -0.357666015625, 0.318115234375, -1.08203125, -0.151123046875, 0.484375, 0.6318359375, 0.1514892578125, 0.048065185546875, 0.38525390625, -0.552734375, -0.70849609375, 1.076171875, -0.8212890625, -0.0604248046875, 0.1080322265625, -0.27001953125, -0.09698486328125, 0.012847900390625, -0.1158447265625, 0.291748046875, -0.070556640625, 0.69677734375, 0.7978515625, -0.716796875, 0.69287109375, -0.350830078125, 0.0078125, 1.419921875, 0.59521484375, 0.3779296875, 0.6259765625, 0.345458984375, -1.2451171875, 0.189453125, -0.287841796875, 0.6044921875, 0.0011701583862304688, 0.0098876953125, -0.456298828125, 0.0654296875, -0.09307861328125, 0.436279296875, -0.00792694091796875, 0.272216796875, -0.383544921875, 0.1712646484375, -0.265625, 0.66943359375, -0.5, 0.8408203125, -0.1561279296875, -0.341796875, 0.19580078125, -0.72216796875, 0.5068359375, -0.1646728515625, -0.343994140625, 0.80615234375, 0.423828125, 0.70849609375, 0.7890625, -0.7763671875, 0.783203125, 0.03790283203125, 0.00646209716796875, 0.0855712890625, 0.2352294921875, 0.73388671875, 0.1275634765625, 0.1260986328125, 0.048797607421875, -0.52490234375, -0.98193359375, -0.473876953125, -0.03375244140625, 0.69287109375, -0.3984375, 0.2216796875, 0.468505859375, -0.08056640625, -0.86474609375, -0.464599609375, 0.07806396484375, -0.75390625, -0.587890625, 1.10546875, -0.06378173828125, 0.560546875, -0.1728515625, -0.57080078125, 0.1490478515625, 1.2705078125, 0.006195068359375, 0.1943359375, 0.42724609375, 0.04168701171875, -0.135986328125, 0.335205078125, 0.09906005859375, -0.0285186767578125, -0.322021484375, 0.7099609375, -0.1729736328125, 0.01396942138671875, -0.353271484375, 0.533203125, 0.2069091796875, 0.302978515625, -0.68310546875, -0.27685546875, 0.356201171875, 1.1591796875, 0.119384765625, 0.446044921875, 0.422119140625, 0.95263671875, 0.5419921875, 1.0234375, 0.41845703125, 0.195556640625, 0.513671875, 0.8662109375, 0.224609375, 0.2283935546875, 0.281005859375, 0.45361328125, 0.452392578125, 0.451904296875, 0.51220703125, 0.1688232421875, -0.454345703125, 0.0601806640625, -0.54736328125, 0.66357421875, -0.11590576171875, 0.94091796875, 0.2783203125, 0.69921875, -0.5654296875, -0.447509765625, -0.053253173828125, 0.51708984375, -0.5302734375, -0.93359375, -0.095458984375, 0.18994140625, 0.298828125, -0.2388916015625, 0.2200927734375, 0.40087890625, 0.6689453125, 0.9130859375, -0.04473876953125, -0.09234619140625, -0.75146484375, -0.97216796875, -1.2138671875, -0.1917724609375, -0.209716796875, 0.0144195556640625, 0.7138671875, -1.09375, 0.2763671875, 0.056915283203125, 0.0843505859375, 0.29248046875, -0.953125, 0.36572265625, -0.459228515625, 0.52490234375, -1.0341796875, 0.9013671875, -0.259033203125, 1.0615234375, -0.443359375, -0.2117919921875, -0.1134033203125, -0.56591796875, 0.69189453125, -0.1798095703125, 0.156005859375, 0.132568359375, -0.55126953125, -0.80615234375, -0.458251953125, -0.54150390625, -0.494384765625, 0.521484375, -0.60546875, 1.1123046875, 0.181884765625, -0.9541015625, 0.44921875, 0.5625, -0.978515625, 0.4169921875, 0.463623046875, 0.5947265625, -0.59765625, 1.603515625, 0.72265625, 0.41748046875, -0.54736328125, -0.310791015625, -0.418212890625, -0.200927734375, 0.06805419921875, -0.233154296875, -0.352783203125, 0.52392578125, 0.42138671875, -1.0615234375, 0.252685546875, -1.1689453125, -0.2919921875, -0.01500701904296875, -0.81640625, 1.1962890625, 0.6181640625, 0.247314453125, -0.59619140625, -0.27587890625, -0.1912841796875, 0.90478515625, 0.302734375, -0.29443359375, 0.1776123046875, 0.515625, -0.04827880859375, -0.0012350082397460938, 0.06353759765625, -0.73193359375, -0.04608154296875, 0.038848876953125, -0.324951171875, 0.998046875, 0.62060546875, -0.2001953125, 0.09490966796875, 0.63330078125, -0.685546875, -0.44580078125, -0.159912109375, 0.63232421875, -0.0723876953125, 0.548828125, 0.8974609375, -0.2188720703125, -0.397705078125, -1.1728515625, 0.703125, 0.142822265625, 0.8369140625, -0.88427734375, 0.640625, 0.57470703125, -0.55712890625, 0.354248046875, -0.89013671875, -0.01221466064453125, 0.98828125, -0.2042236328125, 0.7294921875, -1.1962890625, 0.164306640625, -0.011383056640625, 0.2286376953125, 0.6259765625, 0.353759765625, 0.85107421875, -0.2484130859375, -0.361328125, -0.1505126953125, 0.0168304443359375, -0.1837158203125, -0.595703125, 0.2100830078125, -0.7470703125, -0.259765625, -0.8486328125, 0.460693359375, 0.6787109375, 0.362548828125, -0.38671875, 0.302001953125, 0.444580078125, 0.859375, 0.6943359375, -0.17041015625, -0.165283203125, -0.80029296875, 0.48291015625, -0.0134124755859375, -0.3642578125, -0.5341796875, -0.693359375, -0.7216796875, -0.213134765625, 0.4033203125, -0.0670166015625, -1.109375, 0.09002685546875, -0.268798828125, 0.51025390625, -0.5732421875, -0.359619140625, -0.15380859375, 0.322021484375, 0.24951171875, -0.7177734375, 0.271484375, -1.1357421875, 0.54443359375, 0.61474609375, -0.6953125, -0.261474609375, -0.4853515625, -0.70166015625, -0.640625, 0.06451416015625, 0.796875, -0.0958251953125, 0.61279296875, -0.97607421875, 0.73681640625, 0.259765625, -0.50390625, 0.1937255859375, 0.263916015625, 0.14306640625, -0.09503173828125, 0.9013671875, -0.57470703125, -0.580078125, 0.83740234375, -1.08203125, -0.125732421875, -0.67333984375, 0.1837158203125, -0.355224609375, -0.2841796875, -0.04022216796875, 0.358642578125, 0.09710693359375, 0.25830078125, 0.2325439453125, 0.29443359375, -0.57568359375, -0.93798828125, 0.481689453125, 0.1697998046875, -0.376953125, 0.78759765625, 0.0074462890625, -0.5419921875, 0.1627197265625, 0.264892578125, -0.53564453125, 0.83203125, -0.8232421875, 0.384033203125, -0.166748046875, -0.60888671875, -0.379150390625, -0.49365234375, 0.68310546875, 0.157958984375, -0.61376953125, -0.25634765625, -0.8017578125, -0.316650390625, -0.448486328125, -1.12109375, 0.369873046875, 0.222412109375, -0.393310546875, -0.11798095703125, -0.1846923828125, -0.3212890625, -0.5224609375, -0.3583984375, -0.619140625, 0.5556640625, 0.203369140625, 0.703125, -0.031463623046875, -0.301025390625, 0.01384735107421875, 0.041473388671875, 0.1639404296875, -0.587890625, -0.05499267578125, 0.2763671875, -0.50634765625, -0.037261962890625, 0.242919921875, 0.27783203125, 0.13134765625, 0.60595703125, 0.0296783447265625, 0.52685546875, 0.458251953125, -0.603515625, 1.2421875, 0.56884765625, -1.166015625, 0.11383056640625, 0.44775390625, 0.12646484375, 1.1279296875, 0.0648193359375, -0.26171875, -0.51318359375, -0.89013671875, -0.279052734375, -0.65673828125, -0.0147857666015625, -0.57568359375, 0.10626220703125, -0.36962890625, 0.9716796875, -0.052642822265625, -0.346435546875, 0.0693359375, -1.509765625, 0.2181396484375, -0.689453125, -0.208984375, -0.73828125, -0.01123809814453125, -0.1695556640625, 1.04296875, -0.24462890625, 0.50146484375, 0.52587890625, -0.41455078125, 0.016693115234375, -0.394775390625, -0.50341796875, -0.6103515625, 0.23583984375, -0.08221435546875, -0.2666015625, 0.051727294921875, -0.7138671875, 0.88623046875, -1.15234375, -0.314453125, -0.5986328125, -0.046905517578125, -0.0655517578125, -0.0802001953125, 1.3623046875, -0.290283203125, -0.324951171875, -0.6748046875, 0.54736328125, 0.64697265625, -0.35986328125, -0.74169921875, -0.67236328125, -0.423095703125, -1.1591796875, 0.4130859375, -0.669921875, 0.04278564453125, -0.8046875, -0.33837890625, 0.95947265625, -0.191650390625, 0.1666259765625, 1.2353515625, -0.198486328125, -0.0045928955078125, -0.5673828125, 0.8642578125, 0.27783203125, -0.425537109375, -0.114501953125, 0.00836944580078125, -0.6845703125, 0.6591796875, -0.57275390625, -1.0615234375, -0.322509765625, 0.6005859375, 1.01953125, -0.481689453125, 0.64013671875, 0.151611328125, -0.86328125, -0.57470703125, 1.0048828125, 0.0266876220703125, -0.02728271484375, 0.95458984375, -0.5986328125, -0.325439453125, -0.1611328125, -0.22412109375, -0.134521484375, -0.429443359375, 1.125, -0.462158203125, -0.6123046875, 0.81396484375, 0.533203125, -1.3330078125, -0.78515625, -0.224853515625, 0.2364501953125, 0.0999755859375, -0.50439453125, 0.3486328125, 1.029296875, -0.5546875, 0.2548828125, 0.7685546875, 0.05670166015625, 0.62353515625, -0.05743408203125, 0.32861328125, -0.32861328125, 0.397216796875, 0.904296875, -0.66015625, -0.4111328125, -0.5830078125, 0.09967041015625, -0.420654296875, 0.3125, 0.65625, -0.54443359375, -0.051116943359375, 0.62353515625, 0.1343994140625, 0.84765625, -0.58642578125, -0.11724853515625, 0.50244140625, -0.6103515625, -0.64501953125, 0.003192901611328125, 0.51708984375, 0.1156005859375, 0.2548828125, -0.6279296875, 0.0192718505859375, 0.177001953125, 0.5634765625, -0.73046875, -0.93994140625, -0.61669921875, -0.92919921875, -0.3466796875, -0.32177734375, -0.2939453125, 0.11114501953125, 0.4306640625, 0.069091796875, -0.896484375, 0.124755859375, 0.39892578125, -0.6474609375, 0.97412109375, -1.0439453125, 0.09564208984375, -0.57080078125, 0.0200958251953125, -0.56689453125, -0.353759765625, -0.28515625, -0.093505859375, -0.56689453125, 0.1309814453125, 0.09844970703125, 0.462646484375, 0.0609130859375, 0.492919921875, 0.052581787109375, -0.345703125, 0.1019287109375, 0.310302734375, -0.1080322265625, 1.048828125, 0.333740234375, 0.194580078125, 0.62744140625, 0.049224853515625, -0.6064453125, -0.32275390625, 0.2890625, 0.759765625, -0.274658203125, -0.41796875, -0.89990234375, 0.10809326171875, -1.1640625, 0.203857421875, -0.568359375, -0.037506103515625, 0.135009765625, -0.2379150390625, 0.098388671875, 1.419921875, -0.270263671875, 0.3388671875, 0.447998046875, 0.052734375, 0.093994140625, 0.33642578125, -0.14404296875, 0.392822265625, 0.49072265625, -0.3603515625, 0.2269287109375, 0.339111328125, -0.1693115234375, 0.454345703125, -0.53955078125, -0.6630859375, -0.8486328125, -0.01473236083984375, -0.0882568359375, 0.5244140625, 0.454345703125, -0.52294921875, -0.45703125, -0.377685546875, -0.5732421875, 0.1851806640625, -1.0576171875, -0.86572265625, 0.459228515625, -0.2109375, -0.2440185546875, 0.26708984375, -0.5703125, -0.2398681640625, 0.156494140625, 0.3134765625, -0.818359375, 0.7216796875, -0.287841796875, 0.036376953125, -0.11083984375, 0.11773681640625, 0.395751953125, -0.0250701904296875, -0.94091796875, -0.6484375, 0.41552734375, 1.0166015625, 0.77587890625, 0.325439453125, -0.309326171875, -0.0271759033203125, -0.375244140625, 0.15087890625, -0.43408203125, 0.426513671875, -0.007472991943359375, 0.2958984375, -0.8798828125, -0.4130859375, 0.06842041015625, 0.37451171875, 0.17138671875, -0.1409912109375, -0.463134765625, 0.5322265625, 0.55517578125, 0.10516357421875, 1.208984375, 0.09210205078125, 0.96875, 0.275146484375, -0.08941650390625, -0.43603515625, 0.53076171875, 0.384521484375, 0.353271484375, -0.70556640625, 0.57861328125, 0.841796875, -0.03497314453125, -0.00701904296875, 0.6826171875, 0.422607421875, -0.34423828125, 0.058990478515625, -0.1717529296875, 0.05316162109375, 0.80078125, -0.6611328125, 0.39208984375, -0.154296875, -0.2529296875, -0.09368896484375, -0.56787109375, 0.6474609375, -0.291259765625, -0.049346923828125, -0.56103515625, -0.369140625, 0.466796875, 0.481689453125, 0.466064453125, 0.0830078125, 1.0439453125, 0.88916015625, 0.1119384765625, 0.478271484375, 0.279296875, 0.6787109375, -0.6328125, 0.2491455078125, 0.430419921875, 0.270263671875, -0.6123046875, -0.5078125, -0.98876953125, 0.73876953125, -0.84228515625, -0.27392578125, 0.88720703125, -0.77099609375, -0.04425048828125, -0.4326171875, 0.51416015625, -0.70166015625, 0.509765625, 0.333740234375, -0.212890625, -0.53759765625, 0.58154296875, -0.53076171875, 0.281494140625, 0.6669921875, 0.861328125, -0.1556396484375, 1.3935546875, 0.427734375, -0.1776123046875, -0.10626220703125, -0.067138671875, -0.21826171875, -0.439208984375, -0.306396484375, -0.404541015625, 0.0726318359375, -0.5263671875, -0.487548828125, -0.1715087890625, 0.306884765625, -0.31494140625, -0.9833984375, -0.5087890625, 0.2392578125, -0.90234375, 0.3837890625, -0.1500244140625, -0.2939453125, 0.1328125, -0.41552734375, -0.52490234375, -0.341796875, 0.0291900634765625, -0.43798828125, 0.89306640625, -0.4765625, -0.7392578125, -0.63525390625, -0.53271484375, -0.255859375, 0.2685546875, -0.56396484375, -0.77685546875, 0.00788116455078125, 0.67919921875, 0.2279052734375, 0.14453125, -0.5341796875, 0.0018014907836914062, 1.017578125, 0.87158203125, 0.349365234375, 0.69287109375, 0.58349609375, -0.2362060546875, 0.1551513671875, -0.54736328125, 0.71240234375, -0.1767578125, -0.0584716796875, -0.036407470703125, 0.284423828125, -0.65234375, -1.109375, 0.09185791015625, 0.5849609375, 0.078369140625, -0.93603515625, -1.5869140625, -0.436279296875, -0.87841796875, -0.05731201171875, -0.5625, 0.44287109375, 0.703125, -0.021148681640625, -0.14306640625, -1.025390625, 4.296875, 0.8271484375, 0.73046875, 0.51611328125, 0.2252197265625, 0.95849609375, 0.55859375, -0.474853515625, -0.1488037109375, -0.89404296875, 0.349609375, -0.61181640625, 0.2406005859375, 0.414794921875, 0.5634765625, 0.7119140625, -0.264404296875, 0.10260009765625, -0.0024013519287109375, -0.71337890625, -1.18359375, -0.12255859375, 0.06341552734375, 0.376220703125, -0.26123046875, 0.423583984375, 0.5732421875, -0.580078125, -0.0157470703125, -0.935546875, -0.0186920166015625, -0.431396484375, 0.84228515625, -0.171142578125, -0.07318115234375, 0.65869140625, -0.0004189014434814453, -0.57421875, -0.1806640625, 0.30859375, -0.296142578125, 0.1571044921875, 0.64111328125, -0.56103515625, -0.10699462890625, 0.42919921875, -0.1553955078125, 0.29296875, 0.2646484375, -0.97998046875, 1.029296875, 0.025146484375, 0.451171875, -0.413330078125, -0.85302734375, -0.02020263671875, 0.2498779296875, -0.30859375, 0.1273193359375, 0.259033203125, -0.057891845703125, 0.05841064453125, -0.1705322265625, 0.8837890625, -0.830078125, 0.8408203125, -0.243896484375, 0.1007080078125, -0.1610107421875, 0.01229095458984375, 0.2432861328125, -0.01200103759765625, -0.31689453125, -0.5625, 0.55419921875, 0.230712890625, -0.9169921875, 0.68603515625, 0.7509765625, -0.418212890625, 0.5966796875, -0.71044921875, -0.425537109375, -0.1536865234375, 0.6201171875, 1.0849609375, -0.77734375, -0.57470703125, -0.62744140625, 0.45166015625, 0.59814453125, 0.29443359375, 0.00812530517578125, -0.2275390625, -0.53125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Tags: implementation Correct Solution: ``` from sys import stdin read = stdin.readline n,k = map(int,read().split()) r = 0 vowel = {'a','e','i','o','u'} def cmp(a,b,k,vowel): l = 0 for x,y in zip(reversed(a),reversed(b)): if x != y: return False l += (x in vowel) if l == k: return True return False im = True for s in range(n): a,b,c,d = read(),read(),read(),read() l = 0 for i,x in enumerate(reversed(a),start=1): l += (x in vowel) if l == k: break else: print('NO') break b2,b3,b4 = (a[-i:] == b[-i:]),(a[-i:] == c[-i:]),(a[-i:] == d[-i:]) if b2 + b3 + b4 == 3: continue elif b2 + b3 + b4 == 1: if b2 and (r == 1 or r == 0) and cmp(c,d,k,vowel): r = 1 continue elif b3 and (r==2 or r == 0) and cmp(b,d,k,vowel): r = 2 continue elif b4 and (r == 3 or r == 0) and cmp(b,c,k,vowel): r = 3 continue print('NO') break else: print(['aaaa','aabb','abab','abba'][r]) ```
5,227
[ 0.1104736328125, 0.1304931640625, 0.0163421630859375, 0.03863525390625, -0.48388671875, -0.1300048828125, -0.1387939453125, -0.0177459716796875, 0.0850830078125, 0.73828125, 0.1878662109375, 0.07379150390625, 0.162109375, -0.8173828125, -0.62060546875, -0.10430908203125, -0.544921875, -0.8076171875, -0.299560546875, 0.18505859375, 0.0811767578125, 0.1558837890625, -1.259765625, -0.0501708984375, 0.05615234375, 0.81689453125, 0.5732421875, 0.234619140625, 1.47265625, 0.96435546875, 0.1204833984375, -0.353515625, 0.44970703125, -1.1162109375, -0.1436767578125, -0.16357421875, 0.470947265625, -0.325439453125, -0.30419921875, -0.92822265625, 0.5166015625, -0.228515625, 0.59375, -0.485595703125, -0.8291015625, -0.201416015625, -0.2252197265625, -0.60986328125, 0.06353759765625, -0.35498046875, 0.1566162109375, -0.6220703125, 0.8232421875, -0.308837890625, -0.0889892578125, -0.288818359375, -0.1885986328125, 0.01137542724609375, -0.5380859375, 0.1920166015625, 0.12188720703125, 0.3359375, -0.53125, -0.45263671875, -0.40283203125, 0.50830078125, 0.0240631103515625, -0.200439453125, -0.152587890625, -0.685546875, -0.09564208984375, 0.0279541015625, -0.24169921875, -0.59716796875, -0.89013671875, -0.030059814453125, -0.0128326416015625, -0.213623046875, -0.00861358642578125, 0.84814453125, 0.2449951171875, 0.56103515625, 0.0625, 0.6279296875, -0.61962890625, -0.76513671875, -0.2451171875, -0.04315185546875, 0.341796875, -0.487548828125, -0.337890625, 0.78564453125, -0.3623046875, 0.041748046875, 0.6298828125, 0.55810546875, -0.1688232421875, 0.64111328125, 0.8115234375, 0.80029296875, 0.62255859375, 0.70703125, 0.08935546875, 0.7666015625, -0.646484375, 0.129638671875, -0.255859375, 0.2030029296875, 0.08465576171875, -0.349609375, -0.2386474609375, -0.16015625, 0.209228515625, 0.49560546875, -0.1461181640625, 0.56689453125, -0.357666015625, 0.318115234375, -1.08203125, -0.151123046875, 0.484375, 0.6318359375, 0.1514892578125, 0.048065185546875, 0.38525390625, -0.552734375, -0.70849609375, 1.076171875, -0.8212890625, -0.0604248046875, 0.1080322265625, -0.27001953125, -0.09698486328125, 0.012847900390625, -0.1158447265625, 0.291748046875, -0.070556640625, 0.69677734375, 0.7978515625, -0.716796875, 0.69287109375, -0.350830078125, 0.0078125, 1.419921875, 0.59521484375, 0.3779296875, 0.6259765625, 0.345458984375, -1.2451171875, 0.189453125, -0.287841796875, 0.6044921875, 0.0011701583862304688, 0.0098876953125, -0.456298828125, 0.0654296875, -0.09307861328125, 0.436279296875, -0.00792694091796875, 0.272216796875, -0.383544921875, 0.1712646484375, -0.265625, 0.66943359375, -0.5, 0.8408203125, -0.1561279296875, -0.341796875, 0.19580078125, -0.72216796875, 0.5068359375, -0.1646728515625, -0.343994140625, 0.80615234375, 0.423828125, 0.70849609375, 0.7890625, -0.7763671875, 0.783203125, 0.03790283203125, 0.00646209716796875, 0.0855712890625, 0.2352294921875, 0.73388671875, 0.1275634765625, 0.1260986328125, 0.048797607421875, -0.52490234375, -0.98193359375, -0.473876953125, -0.03375244140625, 0.69287109375, -0.3984375, 0.2216796875, 0.468505859375, -0.08056640625, -0.86474609375, -0.464599609375, 0.07806396484375, -0.75390625, -0.587890625, 1.10546875, -0.06378173828125, 0.560546875, -0.1728515625, -0.57080078125, 0.1490478515625, 1.2705078125, 0.006195068359375, 0.1943359375, 0.42724609375, 0.04168701171875, -0.135986328125, 0.335205078125, 0.09906005859375, -0.0285186767578125, -0.322021484375, 0.7099609375, -0.1729736328125, 0.01396942138671875, -0.353271484375, 0.533203125, 0.2069091796875, 0.302978515625, -0.68310546875, -0.27685546875, 0.356201171875, 1.1591796875, 0.119384765625, 0.446044921875, 0.422119140625, 0.95263671875, 0.5419921875, 1.0234375, 0.41845703125, 0.195556640625, 0.513671875, 0.8662109375, 0.224609375, 0.2283935546875, 0.281005859375, 0.45361328125, 0.452392578125, 0.451904296875, 0.51220703125, 0.1688232421875, -0.454345703125, 0.0601806640625, -0.54736328125, 0.66357421875, -0.11590576171875, 0.94091796875, 0.2783203125, 0.69921875, -0.5654296875, -0.447509765625, -0.053253173828125, 0.51708984375, -0.5302734375, -0.93359375, -0.095458984375, 0.18994140625, 0.298828125, -0.2388916015625, 0.2200927734375, 0.40087890625, 0.6689453125, 0.9130859375, -0.04473876953125, -0.09234619140625, -0.75146484375, -0.97216796875, -1.2138671875, -0.1917724609375, -0.209716796875, 0.0144195556640625, 0.7138671875, -1.09375, 0.2763671875, 0.056915283203125, 0.0843505859375, 0.29248046875, -0.953125, 0.36572265625, -0.459228515625, 0.52490234375, -1.0341796875, 0.9013671875, -0.259033203125, 1.0615234375, -0.443359375, -0.2117919921875, -0.1134033203125, -0.56591796875, 0.69189453125, -0.1798095703125, 0.156005859375, 0.132568359375, -0.55126953125, -0.80615234375, -0.458251953125, -0.54150390625, -0.494384765625, 0.521484375, -0.60546875, 1.1123046875, 0.181884765625, -0.9541015625, 0.44921875, 0.5625, -0.978515625, 0.4169921875, 0.463623046875, 0.5947265625, -0.59765625, 1.603515625, 0.72265625, 0.41748046875, -0.54736328125, -0.310791015625, -0.418212890625, -0.200927734375, 0.06805419921875, -0.233154296875, -0.352783203125, 0.52392578125, 0.42138671875, -1.0615234375, 0.252685546875, -1.1689453125, -0.2919921875, -0.01500701904296875, -0.81640625, 1.1962890625, 0.6181640625, 0.247314453125, -0.59619140625, -0.27587890625, -0.1912841796875, 0.90478515625, 0.302734375, -0.29443359375, 0.1776123046875, 0.515625, -0.04827880859375, -0.0012350082397460938, 0.06353759765625, -0.73193359375, -0.04608154296875, 0.038848876953125, -0.324951171875, 0.998046875, 0.62060546875, -0.2001953125, 0.09490966796875, 0.63330078125, -0.685546875, -0.44580078125, -0.159912109375, 0.63232421875, -0.0723876953125, 0.548828125, 0.8974609375, -0.2188720703125, -0.397705078125, -1.1728515625, 0.703125, 0.142822265625, 0.8369140625, -0.88427734375, 0.640625, 0.57470703125, -0.55712890625, 0.354248046875, -0.89013671875, -0.01221466064453125, 0.98828125, -0.2042236328125, 0.7294921875, -1.1962890625, 0.164306640625, -0.011383056640625, 0.2286376953125, 0.6259765625, 0.353759765625, 0.85107421875, -0.2484130859375, -0.361328125, -0.1505126953125, 0.0168304443359375, -0.1837158203125, -0.595703125, 0.2100830078125, -0.7470703125, -0.259765625, -0.8486328125, 0.460693359375, 0.6787109375, 0.362548828125, -0.38671875, 0.302001953125, 0.444580078125, 0.859375, 0.6943359375, -0.17041015625, -0.165283203125, -0.80029296875, 0.48291015625, -0.0134124755859375, -0.3642578125, -0.5341796875, -0.693359375, -0.7216796875, -0.213134765625, 0.4033203125, -0.0670166015625, -1.109375, 0.09002685546875, -0.268798828125, 0.51025390625, -0.5732421875, -0.359619140625, -0.15380859375, 0.322021484375, 0.24951171875, -0.7177734375, 0.271484375, -1.1357421875, 0.54443359375, 0.61474609375, -0.6953125, -0.261474609375, -0.4853515625, -0.70166015625, -0.640625, 0.06451416015625, 0.796875, -0.0958251953125, 0.61279296875, -0.97607421875, 0.73681640625, 0.259765625, -0.50390625, 0.1937255859375, 0.263916015625, 0.14306640625, -0.09503173828125, 0.9013671875, -0.57470703125, -0.580078125, 0.83740234375, -1.08203125, -0.125732421875, -0.67333984375, 0.1837158203125, -0.355224609375, -0.2841796875, -0.04022216796875, 0.358642578125, 0.09710693359375, 0.25830078125, 0.2325439453125, 0.29443359375, -0.57568359375, -0.93798828125, 0.481689453125, 0.1697998046875, -0.376953125, 0.78759765625, 0.0074462890625, -0.5419921875, 0.1627197265625, 0.264892578125, -0.53564453125, 0.83203125, -0.8232421875, 0.384033203125, -0.166748046875, -0.60888671875, -0.379150390625, -0.49365234375, 0.68310546875, 0.157958984375, -0.61376953125, -0.25634765625, -0.8017578125, -0.316650390625, -0.448486328125, -1.12109375, 0.369873046875, 0.222412109375, -0.393310546875, -0.11798095703125, -0.1846923828125, -0.3212890625, -0.5224609375, -0.3583984375, -0.619140625, 0.5556640625, 0.203369140625, 0.703125, -0.031463623046875, -0.301025390625, 0.01384735107421875, 0.041473388671875, 0.1639404296875, -0.587890625, -0.05499267578125, 0.2763671875, -0.50634765625, -0.037261962890625, 0.242919921875, 0.27783203125, 0.13134765625, 0.60595703125, 0.0296783447265625, 0.52685546875, 0.458251953125, -0.603515625, 1.2421875, 0.56884765625, -1.166015625, 0.11383056640625, 0.44775390625, 0.12646484375, 1.1279296875, 0.0648193359375, -0.26171875, -0.51318359375, -0.89013671875, -0.279052734375, -0.65673828125, -0.0147857666015625, -0.57568359375, 0.10626220703125, -0.36962890625, 0.9716796875, -0.052642822265625, -0.346435546875, 0.0693359375, -1.509765625, 0.2181396484375, -0.689453125, -0.208984375, -0.73828125, -0.01123809814453125, -0.1695556640625, 1.04296875, -0.24462890625, 0.50146484375, 0.52587890625, -0.41455078125, 0.016693115234375, -0.394775390625, -0.50341796875, -0.6103515625, 0.23583984375, -0.08221435546875, -0.2666015625, 0.051727294921875, -0.7138671875, 0.88623046875, -1.15234375, -0.314453125, -0.5986328125, -0.046905517578125, -0.0655517578125, -0.0802001953125, 1.3623046875, -0.290283203125, -0.324951171875, -0.6748046875, 0.54736328125, 0.64697265625, -0.35986328125, -0.74169921875, -0.67236328125, -0.423095703125, -1.1591796875, 0.4130859375, -0.669921875, 0.04278564453125, -0.8046875, -0.33837890625, 0.95947265625, -0.191650390625, 0.1666259765625, 1.2353515625, -0.198486328125, -0.0045928955078125, -0.5673828125, 0.8642578125, 0.27783203125, -0.425537109375, -0.114501953125, 0.00836944580078125, -0.6845703125, 0.6591796875, -0.57275390625, -1.0615234375, -0.322509765625, 0.6005859375, 1.01953125, -0.481689453125, 0.64013671875, 0.151611328125, -0.86328125, -0.57470703125, 1.0048828125, 0.0266876220703125, -0.02728271484375, 0.95458984375, -0.5986328125, -0.325439453125, -0.1611328125, -0.22412109375, -0.134521484375, -0.429443359375, 1.125, -0.462158203125, -0.6123046875, 0.81396484375, 0.533203125, -1.3330078125, -0.78515625, -0.224853515625, 0.2364501953125, 0.0999755859375, -0.50439453125, 0.3486328125, 1.029296875, -0.5546875, 0.2548828125, 0.7685546875, 0.05670166015625, 0.62353515625, -0.05743408203125, 0.32861328125, -0.32861328125, 0.397216796875, 0.904296875, -0.66015625, -0.4111328125, -0.5830078125, 0.09967041015625, -0.420654296875, 0.3125, 0.65625, -0.54443359375, -0.051116943359375, 0.62353515625, 0.1343994140625, 0.84765625, -0.58642578125, -0.11724853515625, 0.50244140625, -0.6103515625, -0.64501953125, 0.003192901611328125, 0.51708984375, 0.1156005859375, 0.2548828125, -0.6279296875, 0.0192718505859375, 0.177001953125, 0.5634765625, -0.73046875, -0.93994140625, -0.61669921875, -0.92919921875, -0.3466796875, -0.32177734375, -0.2939453125, 0.11114501953125, 0.4306640625, 0.069091796875, -0.896484375, 0.124755859375, 0.39892578125, -0.6474609375, 0.97412109375, -1.0439453125, 0.09564208984375, -0.57080078125, 0.0200958251953125, -0.56689453125, -0.353759765625, -0.28515625, -0.093505859375, -0.56689453125, 0.1309814453125, 0.09844970703125, 0.462646484375, 0.0609130859375, 0.492919921875, 0.052581787109375, -0.345703125, 0.1019287109375, 0.310302734375, -0.1080322265625, 1.048828125, 0.333740234375, 0.194580078125, 0.62744140625, 0.049224853515625, -0.6064453125, -0.32275390625, 0.2890625, 0.759765625, -0.274658203125, -0.41796875, -0.89990234375, 0.10809326171875, -1.1640625, 0.203857421875, -0.568359375, -0.037506103515625, 0.135009765625, -0.2379150390625, 0.098388671875, 1.419921875, -0.270263671875, 0.3388671875, 0.447998046875, 0.052734375, 0.093994140625, 0.33642578125, -0.14404296875, 0.392822265625, 0.49072265625, -0.3603515625, 0.2269287109375, 0.339111328125, -0.1693115234375, 0.454345703125, -0.53955078125, -0.6630859375, -0.8486328125, -0.01473236083984375, -0.0882568359375, 0.5244140625, 0.454345703125, -0.52294921875, -0.45703125, -0.377685546875, -0.5732421875, 0.1851806640625, -1.0576171875, -0.86572265625, 0.459228515625, -0.2109375, -0.2440185546875, 0.26708984375, -0.5703125, -0.2398681640625, 0.156494140625, 0.3134765625, -0.818359375, 0.7216796875, -0.287841796875, 0.036376953125, -0.11083984375, 0.11773681640625, 0.395751953125, -0.0250701904296875, -0.94091796875, -0.6484375, 0.41552734375, 1.0166015625, 0.77587890625, 0.325439453125, -0.309326171875, -0.0271759033203125, -0.375244140625, 0.15087890625, -0.43408203125, 0.426513671875, -0.007472991943359375, 0.2958984375, -0.8798828125, -0.4130859375, 0.06842041015625, 0.37451171875, 0.17138671875, -0.1409912109375, -0.463134765625, 0.5322265625, 0.55517578125, 0.10516357421875, 1.208984375, 0.09210205078125, 0.96875, 0.275146484375, -0.08941650390625, -0.43603515625, 0.53076171875, 0.384521484375, 0.353271484375, -0.70556640625, 0.57861328125, 0.841796875, -0.03497314453125, -0.00701904296875, 0.6826171875, 0.422607421875, -0.34423828125, 0.058990478515625, -0.1717529296875, 0.05316162109375, 0.80078125, -0.6611328125, 0.39208984375, -0.154296875, -0.2529296875, -0.09368896484375, -0.56787109375, 0.6474609375, -0.291259765625, -0.049346923828125, -0.56103515625, -0.369140625, 0.466796875, 0.481689453125, 0.466064453125, 0.0830078125, 1.0439453125, 0.88916015625, 0.1119384765625, 0.478271484375, 0.279296875, 0.6787109375, -0.6328125, 0.2491455078125, 0.430419921875, 0.270263671875, -0.6123046875, -0.5078125, -0.98876953125, 0.73876953125, -0.84228515625, -0.27392578125, 0.88720703125, -0.77099609375, -0.04425048828125, -0.4326171875, 0.51416015625, -0.70166015625, 0.509765625, 0.333740234375, -0.212890625, -0.53759765625, 0.58154296875, -0.53076171875, 0.281494140625, 0.6669921875, 0.861328125, -0.1556396484375, 1.3935546875, 0.427734375, -0.1776123046875, -0.10626220703125, -0.067138671875, -0.21826171875, -0.439208984375, -0.306396484375, -0.404541015625, 0.0726318359375, -0.5263671875, -0.487548828125, -0.1715087890625, 0.306884765625, -0.31494140625, -0.9833984375, -0.5087890625, 0.2392578125, -0.90234375, 0.3837890625, -0.1500244140625, -0.2939453125, 0.1328125, -0.41552734375, -0.52490234375, -0.341796875, 0.0291900634765625, -0.43798828125, 0.89306640625, -0.4765625, -0.7392578125, -0.63525390625, -0.53271484375, -0.255859375, 0.2685546875, -0.56396484375, -0.77685546875, 0.00788116455078125, 0.67919921875, 0.2279052734375, 0.14453125, -0.5341796875, 0.0018014907836914062, 1.017578125, 0.87158203125, 0.349365234375, 0.69287109375, 0.58349609375, -0.2362060546875, 0.1551513671875, -0.54736328125, 0.71240234375, -0.1767578125, -0.0584716796875, -0.036407470703125, 0.284423828125, -0.65234375, -1.109375, 0.09185791015625, 0.5849609375, 0.078369140625, -0.93603515625, -1.5869140625, -0.436279296875, -0.87841796875, -0.05731201171875, -0.5625, 0.44287109375, 0.703125, -0.021148681640625, -0.14306640625, -1.025390625, 4.296875, 0.8271484375, 0.73046875, 0.51611328125, 0.2252197265625, 0.95849609375, 0.55859375, -0.474853515625, -0.1488037109375, -0.89404296875, 0.349609375, -0.61181640625, 0.2406005859375, 0.414794921875, 0.5634765625, 0.7119140625, -0.264404296875, 0.10260009765625, -0.0024013519287109375, -0.71337890625, -1.18359375, -0.12255859375, 0.06341552734375, 0.376220703125, -0.26123046875, 0.423583984375, 0.5732421875, -0.580078125, -0.0157470703125, -0.935546875, -0.0186920166015625, -0.431396484375, 0.84228515625, -0.171142578125, -0.07318115234375, 0.65869140625, -0.0004189014434814453, -0.57421875, -0.1806640625, 0.30859375, -0.296142578125, 0.1571044921875, 0.64111328125, -0.56103515625, -0.10699462890625, 0.42919921875, -0.1553955078125, 0.29296875, 0.2646484375, -0.97998046875, 1.029296875, 0.025146484375, 0.451171875, -0.413330078125, -0.85302734375, -0.02020263671875, 0.2498779296875, -0.30859375, 0.1273193359375, 0.259033203125, -0.057891845703125, 0.05841064453125, -0.1705322265625, 0.8837890625, -0.830078125, 0.8408203125, -0.243896484375, 0.1007080078125, -0.1610107421875, 0.01229095458984375, 0.2432861328125, -0.01200103759765625, -0.31689453125, -0.5625, 0.55419921875, 0.230712890625, -0.9169921875, 0.68603515625, 0.7509765625, -0.418212890625, 0.5966796875, -0.71044921875, -0.425537109375, -0.1536865234375, 0.6201171875, 1.0849609375, -0.77734375, -0.57470703125, -0.62744140625, 0.45166015625, 0.59814453125, 0.29443359375, 0.00812530517578125, -0.2275390625, -0.53125 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Submitted Solution: ``` n, k = map(int, input().split()) def get_suffix(line): position = -1 for _ in range(k): while -position <= len(line) and line[position] not in 'aeiou': position -= 1 if -position > len(line): return '' return line[position:] def detect_rhyme_type(quatrain): s1, s2, s3, s4 = [get_suffix(line) for line in quatrain] if s1 == s2 == s3 == s4: return 'aaaa' elif s1 == s2 and s3 == s4: return 'aabb' elif s1 == s3 and s2 == s4: return 'abab' elif s1 == s4 and s2 == s3: return 'abba' else: return 'NO' common_rhyme_type = 'aaaa' for _ in range(n): quatrain = [input() for _ in range(4)] rhyme_type = detect_rhyme_type(quatrain) if rhyme_type == 'NO': print('NO') break if rhyme_type != common_rhyme_type and common_rhyme_type != 'aaaa': print('NO') break else: common_rhyme_type = rhyme_type else: print(common_rhyme_type) ``` No
5,228
[ 0.22216796875, 0.2015380859375, -0.03302001953125, 0.0404052734375, -0.59033203125, -0.076171875, -0.1773681640625, 0.0310821533203125, 0.0693359375, 0.69921875, 0.16943359375, 0.08087158203125, 0.152099609375, -0.76513671875, -0.6005859375, -0.10992431640625, -0.5361328125, -0.76806640625, -0.33203125, 0.08538818359375, 0.0721435546875, 0.078857421875, -1.25390625, 0.05596923828125, 0.036895751953125, 0.6845703125, 0.505859375, 0.25390625, 1.4736328125, 0.89990234375, 0.176513671875, -0.304443359375, 0.440185546875, -1.0517578125, -0.13330078125, -0.222900390625, 0.424072265625, -0.379150390625, -0.339599609375, -0.943359375, 0.41162109375, -0.1563720703125, 0.60498046875, -0.461181640625, -0.8037109375, -0.1212158203125, -0.2080078125, -0.611328125, 0.060821533203125, -0.401611328125, 0.2080078125, -0.56005859375, 0.77197265625, -0.37744140625, -0.0227203369140625, -0.11334228515625, -0.18603515625, 0.022552490234375, -0.5556640625, 0.1331787109375, 0.17041015625, 0.340087890625, -0.4931640625, -0.5146484375, -0.404052734375, 0.475341796875, 0.08282470703125, -0.21337890625, -0.10101318359375, -0.62939453125, -0.08056640625, -0.025970458984375, -0.277099609375, -0.425537109375, -0.87890625, 0.0421142578125, -0.04193115234375, -0.2335205078125, -0.10748291015625, 0.892578125, 0.212158203125, 0.6748046875, 0.11260986328125, 0.6689453125, -0.63818359375, -0.697265625, -0.146484375, -0.02288818359375, 0.3662109375, -0.42236328125, -0.2196044921875, 0.7626953125, -0.32177734375, 0.09527587890625, 0.69384765625, 0.53271484375, -0.1982421875, 0.61669921875, 0.79296875, 0.7568359375, 0.6220703125, 0.69091796875, 0.068115234375, 0.7783203125, -0.64013671875, 0.050689697265625, -0.2335205078125, 0.09197998046875, 0.1240234375, -0.362548828125, -0.1845703125, -0.15185546875, 0.234375, 0.49462890625, -0.2431640625, 0.466064453125, -0.296875, 0.351318359375, -1.0537109375, -0.159912109375, 0.43408203125, 0.5986328125, 0.1934814453125, 0.0296630859375, 0.467529296875, -0.5927734375, -0.71484375, 1.0810546875, -0.74560546875, -0.068115234375, 0.16650390625, -0.287841796875, -0.079345703125, 0.00431060791015625, -0.127685546875, 0.271728515625, -0.1318359375, 0.63623046875, 0.75537109375, -0.71435546875, 0.74072265625, -0.32080078125, 0.055328369140625, 1.5, 0.50244140625, 0.278564453125, 0.56494140625, 0.360107421875, -1.201171875, 0.2337646484375, -0.340087890625, 0.609375, -0.0728759765625, -0.009552001953125, -0.513671875, 0.08465576171875, -0.059722900390625, 0.391357421875, 0.059234619140625, 0.1671142578125, -0.344970703125, 0.310302734375, -0.31103515625, 0.66162109375, -0.43603515625, 0.8046875, -0.103515625, -0.28076171875, 0.1636962890625, -0.6787109375, 0.47314453125, -0.136962890625, -0.2052001953125, 0.80322265625, 0.45458984375, 0.81298828125, 0.78369140625, -0.685546875, 0.724609375, 0.11785888671875, -0.11187744140625, 0.04412841796875, 0.324951171875, 0.78076171875, 0.1488037109375, 0.200439453125, 0.0662841796875, -0.3955078125, -0.8857421875, -0.48779296875, -0.11688232421875, 0.7216796875, -0.449462890625, 0.2459716796875, 0.37060546875, -0.08929443359375, -0.72998046875, -0.45166015625, 0.10699462890625, -0.82666015625, -0.6376953125, 1.0693359375, -0.0767822265625, 0.5703125, -0.216064453125, -0.55419921875, 0.1175537109375, 1.2333984375, 0.0037441253662109375, 0.20556640625, 0.42724609375, 0.122314453125, -0.181396484375, 0.2269287109375, 0.070068359375, -0.0667724609375, -0.33056640625, 0.662109375, -0.154541015625, -0.052642822265625, -0.2347412109375, 0.5966796875, 0.18798828125, 0.28076171875, -0.734375, -0.297119140625, 0.278564453125, 1.15625, 0.08782958984375, 0.442138671875, 0.395263671875, 1.001953125, 0.52734375, 1.0849609375, 0.45263671875, 0.1728515625, 0.63916015625, 0.80615234375, 0.10333251953125, 0.2235107421875, 0.2437744140625, 0.477294921875, 0.417724609375, 0.57177734375, 0.458251953125, 0.1805419921875, -0.391357421875, 0.06982421875, -0.560546875, 0.68896484375, -0.1939697265625, 0.8642578125, 0.1923828125, 0.7421875, -0.55859375, -0.4501953125, -0.0250396728515625, 0.515625, -0.59619140625, -0.97509765625, -0.0914306640625, 0.163330078125, 0.1954345703125, -0.12115478515625, 0.1761474609375, 0.319580078125, 0.5244140625, 0.9091796875, -0.1109619140625, -0.099853515625, -0.744140625, -0.9716796875, -1.25390625, -0.1719970703125, -0.2484130859375, -0.05670166015625, 0.6708984375, -1.048828125, 0.201416015625, -0.035980224609375, 0.0477294921875, 0.1953125, -0.87255859375, 0.46826171875, -0.486083984375, 0.572265625, -1.009765625, 0.8310546875, -0.188232421875, 1.0283203125, -0.469482421875, -0.150146484375, -0.1712646484375, -0.5224609375, 0.71044921875, -0.25048828125, 0.1844482421875, 0.161376953125, -0.63427734375, -0.826171875, -0.43408203125, -0.41015625, -0.4150390625, 0.47314453125, -0.59716796875, 1.1083984375, 0.12335205078125, -0.94287109375, 0.405029296875, 0.603515625, -0.93310546875, 0.41845703125, 0.458740234375, 0.64453125, -0.61474609375, 1.5419921875, 0.65478515625, 0.393798828125, -0.53173828125, -0.3212890625, -0.4482421875, -0.2288818359375, 0.12127685546875, -0.308837890625, -0.35986328125, 0.544921875, 0.374755859375, -1.068359375, 0.25, -1.2490234375, -0.335693359375, -0.04632568359375, -0.8759765625, 1.1923828125, 0.69775390625, 0.27783203125, -0.48779296875, -0.38330078125, -0.220458984375, 0.88720703125, 0.325927734375, -0.37548828125, 0.12115478515625, 0.56494140625, -0.061767578125, 0.08953857421875, 0.09002685546875, -0.77490234375, -0.0313720703125, -0.02703857421875, -0.3134765625, 1.03125, 0.5439453125, -0.14501953125, 0.030609130859375, 0.599609375, -0.701171875, -0.47705078125, -0.1380615234375, 0.55322265625, -0.07745361328125, 0.57470703125, 0.9423828125, -0.20166015625, -0.490478515625, -1.09375, 0.67529296875, 0.050445556640625, 0.86572265625, -0.83203125, 0.67822265625, 0.5224609375, -0.62158203125, 0.420166015625, -0.8369140625, 0.016357421875, 0.97314453125, -0.1552734375, 0.72705078125, -1.2021484375, 0.10479736328125, -0.1123046875, 0.274169921875, 0.59765625, 0.306396484375, 0.81591796875, -0.2958984375, -0.3564453125, -0.1754150390625, 0.039154052734375, -0.1959228515625, -0.50634765625, 0.180419921875, -0.73876953125, -0.310791015625, -0.896484375, 0.455322265625, 0.66455078125, 0.389404296875, -0.313720703125, 0.250244140625, 0.421142578125, 0.8525390625, 0.75830078125, -0.110107421875, -0.1953125, -0.85302734375, 0.41455078125, 0.06927490234375, -0.38330078125, -0.52734375, -0.60986328125, -0.69140625, -0.17919921875, 0.423583984375, -0.091796875, -1.0673828125, 0.1822509765625, -0.2288818359375, 0.495849609375, -0.6220703125, -0.331787109375, -0.1358642578125, 0.319091796875, 0.271484375, -0.7578125, 0.28955078125, -1.1240234375, 0.47998046875, 0.64111328125, -0.728515625, -0.350830078125, -0.448974609375, -0.76513671875, -0.72216796875, 0.07501220703125, 0.9091796875, -0.100341796875, 0.576171875, -1.072265625, 0.70361328125, 0.321044921875, -0.626953125, 0.212158203125, 0.1668701171875, 0.1812744140625, -0.0831298828125, 0.9306640625, -0.625, -0.6181640625, 0.69384765625, -1.083984375, -0.035858154296875, -0.6162109375, 0.183837890625, -0.30712890625, -0.286865234375, -0.045806884765625, 0.428955078125, 0.11688232421875, 0.2568359375, 0.2216796875, 0.342041015625, -0.66064453125, -0.91357421875, 0.428955078125, 0.2447509765625, -0.414306640625, 0.75390625, -0.0199127197265625, -0.56787109375, 0.25, 0.25, -0.5087890625, 0.8486328125, -0.71875, 0.37890625, -0.102783203125, -0.5849609375, -0.326171875, -0.544921875, 0.681640625, 0.11688232421875, -0.556640625, -0.289794921875, -0.8134765625, -0.249755859375, -0.481201171875, -1.099609375, 0.373046875, 0.3271484375, -0.3779296875, -0.1458740234375, -0.2333984375, -0.39599609375, -0.47216796875, -0.37109375, -0.599609375, 0.57373046875, 0.275390625, 0.611328125, 0.012725830078125, -0.328857421875, -0.05548095703125, 0.01148223876953125, 0.16259765625, -0.59130859375, -0.130126953125, 0.266357421875, -0.54345703125, -0.03411865234375, 0.2281494140625, 0.2471923828125, 0.180908203125, 0.58984375, -0.0196685791015625, 0.57568359375, 0.44873046875, -0.65185546875, 1.28515625, 0.49658203125, -1.3134765625, 0.123779296875, 0.37353515625, 0.20166015625, 1.208984375, 0.051788330078125, -0.255126953125, -0.54296875, -0.96142578125, -0.2498779296875, -0.61181640625, -0.1451416015625, -0.65185546875, 0.0628662109375, -0.3349609375, 0.9365234375, -0.04962158203125, -0.3408203125, 0.057861328125, -1.5068359375, 0.2132568359375, -0.8115234375, -0.1534423828125, -0.7548828125, 0.0180511474609375, -0.12213134765625, 1.0849609375, -0.1851806640625, 0.49755859375, 0.372314453125, -0.31884765625, -0.09381103515625, -0.30859375, -0.46728515625, -0.64404296875, 0.2247314453125, -0.116455078125, -0.257080078125, 0.0302581787109375, -0.6572265625, 0.92236328125, -1.111328125, -0.2213134765625, -0.59765625, -0.033233642578125, -0.07965087890625, -0.112060546875, 1.3427734375, -0.263916015625, -0.2685546875, -0.7763671875, 0.521484375, 0.76171875, -0.3642578125, -0.69970703125, -0.6171875, -0.43115234375, -1.166015625, 0.4326171875, -0.68212890625, 0.0345458984375, -0.82421875, -0.287353515625, 0.994140625, -0.2401123046875, 0.1561279296875, 1.2470703125, -0.2005615234375, 0.01447296142578125, -0.630859375, 0.822265625, 0.337646484375, -0.364013671875, -0.1558837890625, -0.0672607421875, -0.7060546875, 0.56396484375, -0.51220703125, -1.0126953125, -0.325439453125, 0.57177734375, 0.95556640625, -0.50634765625, 0.69580078125, 0.17041015625, -0.91357421875, -0.58740234375, 0.984375, 0.10528564453125, -0.010955810546875, 0.92431640625, -0.486572265625, -0.30908203125, -0.1693115234375, -0.206787109375, -0.1126708984375, -0.390625, 1.2314453125, -0.46044921875, -0.615234375, 0.8583984375, 0.59228515625, -1.36328125, -0.82470703125, -0.1470947265625, 0.1854248046875, 0.11004638671875, -0.548828125, 0.411865234375, 0.95068359375, -0.496337890625, 0.3330078125, 0.74658203125, 0.0275726318359375, 0.6123046875, -0.048858642578125, 0.3916015625, -0.387451171875, 0.3681640625, 0.99560546875, -0.6650390625, -0.453857421875, -0.6728515625, 0.16455078125, -0.3720703125, 0.30224609375, 0.7060546875, -0.470947265625, -0.00829315185546875, 0.7177734375, 0.08270263671875, 0.83740234375, -0.63720703125, -0.10693359375, 0.457275390625, -0.6748046875, -0.62060546875, -0.07379150390625, 0.5263671875, 0.124755859375, 0.32275390625, -0.64697265625, 0.049835205078125, 0.2166748046875, 0.564453125, -0.662109375, -0.8486328125, -0.65673828125, -0.8818359375, -0.413330078125, -0.358642578125, -0.282958984375, 0.099609375, 0.45263671875, 0.0723876953125, -0.876953125, 0.06787109375, 0.417236328125, -0.61669921875, 0.92333984375, -1.0556640625, 0.083984375, -0.6650390625, -0.059051513671875, -0.53857421875, -0.320556640625, -0.349365234375, -0.04168701171875, -0.462646484375, 0.130615234375, 0.079833984375, 0.517578125, 0.041412353515625, 0.443603515625, 0.1046142578125, -0.323486328125, 0.1683349609375, 0.3330078125, -0.233154296875, 1.0751953125, 0.30322265625, 0.1529541015625, 0.56201171875, 0.043182373046875, -0.5390625, -0.226806640625, 0.3349609375, 0.734375, -0.206787109375, -0.3974609375, -0.728515625, 0.00772857666015625, -1.1162109375, 0.17919921875, -0.55126953125, -0.1090087890625, 0.1695556640625, -0.2259521484375, 0.1466064453125, 1.365234375, -0.3330078125, 0.353271484375, 0.374267578125, 0.06280517578125, 0.192626953125, 0.325927734375, -0.07562255859375, 0.442138671875, 0.485595703125, -0.355712890625, 0.289306640625, 0.392822265625, -0.1473388671875, 0.4658203125, -0.54833984375, -0.72412109375, -0.96630859375, -0.0249481201171875, -0.1180419921875, 0.470947265625, 0.444091796875, -0.580078125, -0.397216796875, -0.4189453125, -0.55419921875, 0.2327880859375, -1.154296875, -0.876953125, 0.53369140625, -0.2196044921875, -0.27685546875, 0.333740234375, -0.5859375, -0.1854248046875, 0.27978515625, 0.298095703125, -0.76416015625, 0.57080078125, -0.271240234375, 0.11395263671875, -0.208740234375, 0.0299072265625, 0.3310546875, -0.03411865234375, -0.962890625, -0.62158203125, 0.321533203125, 0.962890625, 0.70361328125, 0.23486328125, -0.366943359375, 0.036712646484375, -0.377685546875, 0.061676025390625, -0.365966796875, 0.491455078125, 0.037994384765625, 0.349609375, -0.740234375, -0.36376953125, 0.0203857421875, 0.27685546875, 0.08819580078125, -0.141845703125, -0.41796875, 0.51025390625, 0.533203125, 0.07794189453125, 1.1484375, 0.04986572265625, 1.03125, 0.298828125, -0.126220703125, -0.346435546875, 0.63330078125, 0.455078125, 0.4833984375, -0.6220703125, 0.6123046875, 0.888671875, 0.048187255859375, 0.096435546875, 0.64404296875, 0.396484375, -0.344482421875, 0.009368896484375, -0.2484130859375, 0.07891845703125, 0.74951171875, -0.6103515625, 0.34228515625, -0.14599609375, -0.29345703125, -0.194580078125, -0.630859375, 0.6943359375, -0.261962890625, -0.0533447265625, -0.564453125, -0.37548828125, 0.44775390625, 0.468017578125, 0.48095703125, 0.11322021484375, 1.0380859375, 0.95703125, 0.1439208984375, 0.53955078125, 0.271240234375, 0.66552734375, -0.7265625, 0.1522216796875, 0.5283203125, 0.1981201171875, -0.54248046875, -0.56982421875, -1.013671875, 0.75732421875, -0.79833984375, -0.279541015625, 0.78466796875, -0.75390625, 0.012115478515625, -0.40673828125, 0.50830078125, -0.6630859375, 0.43701171875, 0.321533203125, -0.2003173828125, -0.6220703125, 0.58740234375, -0.3759765625, 0.310302734375, 0.6357421875, 0.8984375, -0.1663818359375, 1.3193359375, 0.5498046875, -0.1966552734375, -0.1512451171875, 0.036376953125, -0.1385498046875, -0.403564453125, -0.227783203125, -0.495849609375, 0.047332763671875, -0.58642578125, -0.55224609375, -0.2095947265625, 0.317626953125, -0.2403564453125, -0.8994140625, -0.499267578125, 0.2099609375, -0.896484375, 0.41552734375, -0.18408203125, -0.1549072265625, 0.0799560546875, -0.304931640625, -0.48291015625, -0.36865234375, 0.046661376953125, -0.365478515625, 0.828125, -0.442138671875, -0.72216796875, -0.62158203125, -0.5419921875, -0.157470703125, 0.197265625, -0.5927734375, -0.6845703125, -0.0197296142578125, 0.71240234375, 0.2374267578125, 0.0853271484375, -0.52880859375, -0.01087188720703125, 1.052734375, 0.849609375, 0.323486328125, 0.72900390625, 0.61572265625, -0.283203125, 0.13671875, -0.552734375, 0.66455078125, -0.1483154296875, -0.0999755859375, -0.0897216796875, 0.28662109375, -0.67431640625, -1.052734375, 0.0264434814453125, 0.599609375, 0.06488037109375, -0.8564453125, -1.5712890625, -0.481689453125, -0.89306640625, -0.1280517578125, -0.62158203125, 0.517578125, 0.716796875, -0.1280517578125, -0.23388671875, -1.0458984375, 4.328125, 0.787109375, 0.654296875, 0.44384765625, 0.26953125, 0.91259765625, 0.5634765625, -0.477783203125, -0.10302734375, -0.95654296875, 0.280029296875, -0.61865234375, 0.2548828125, 0.440185546875, 0.53369140625, 0.62109375, -0.270751953125, -0.03857421875, 0.06768798828125, -0.72216796875, -1.193359375, 0.004817962646484375, 0.11834716796875, 0.2685546875, -0.2061767578125, 0.41162109375, 0.6923828125, -0.68212890625, -0.0716552734375, -0.947265625, 0.05419921875, -0.398681640625, 0.9052734375, -0.062042236328125, -0.05242919921875, 0.6298828125, 0.053131103515625, -0.57568359375, -0.236328125, 0.3505859375, -0.3056640625, 0.164794921875, 0.626953125, -0.47802734375, -0.09161376953125, 0.4970703125, -0.263427734375, 0.411865234375, 0.262451171875, -0.96142578125, 1.0439453125, 0.054779052734375, 0.489990234375, -0.444091796875, -0.8125, -0.038177490234375, 0.26416015625, -0.252197265625, 0.1414794921875, 0.255859375, -0.1544189453125, 0.0645751953125, -0.2210693359375, 0.9765625, -0.953125, 0.73974609375, -0.1629638671875, 0.0178985595703125, -0.2021484375, -0.0179901123046875, 0.06768798828125, -0.043853759765625, -0.259033203125, -0.64453125, 0.487060546875, 0.298095703125, -0.9296875, 0.69580078125, 0.7578125, -0.4140625, 0.5380859375, -0.68701171875, -0.3466796875, -0.155517578125, 0.6884765625, 1.0595703125, -0.77978515625, -0.490478515625, -0.6796875, 0.488525390625, 0.693359375, 0.3037109375, 0.0270843505859375, -0.25830078125, -0.61865234375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Submitted Solution: ``` n,k = map(int,input().split()) lis=[] vov=['a','e','i','o','u'] d={} d['aabb']=d['abab']=d['abba']=d['aaaa']=0 for i in range(n*4): s = input() lis.append(s) if i%4==3: tmp=['']*4 for j in range(4): s=lis[j] c=0 cou=0 for ll in s[::-1]: cou+=1 if ll in vov: c+=1 if c==k: tmp[j]=s[-cou:] break # print(tmp) if tmp[0]==tmp[1]==tmp[2]==tmp[3] and tmp[0]!='': d['aaaa']+=1 if tmp[0]==tmp[1] and tmp[2]==tmp[3] and tmp[1]!=tmp[3] and tmp[1]!='' and tmp[3]!='': d['aabb']+=1 elif tmp[0]==tmp[2] and tmp[1]==tmp[3] and tmp[1]!=tmp[0] and tmp[1]!='' and tmp[0]!='': d['abab']+=1 elif tmp[0]==tmp[3] and tmp[1]==tmp[2] and tmp[2]!=tmp[0] and tmp[1]!='' and tmp[3]!='': d['abba']+=1 else: print("NO") exit() lis=[] c=0 for i in d: if d[i]>0: c+=1 if c==1: for i in d: if d[i]>0: print(i) exit() elif c==2 and d['aaaa']>0: for i in d: if d[i]>0: print(i) exit() else: print("NO") ``` No
5,229
[ 0.22216796875, 0.2015380859375, -0.03302001953125, 0.0404052734375, -0.59033203125, -0.076171875, -0.1773681640625, 0.0310821533203125, 0.0693359375, 0.69921875, 0.16943359375, 0.08087158203125, 0.152099609375, -0.76513671875, -0.6005859375, -0.10992431640625, -0.5361328125, -0.76806640625, -0.33203125, 0.08538818359375, 0.0721435546875, 0.078857421875, -1.25390625, 0.05596923828125, 0.036895751953125, 0.6845703125, 0.505859375, 0.25390625, 1.4736328125, 0.89990234375, 0.176513671875, -0.304443359375, 0.440185546875, -1.0517578125, -0.13330078125, -0.222900390625, 0.424072265625, -0.379150390625, -0.339599609375, -0.943359375, 0.41162109375, -0.1563720703125, 0.60498046875, -0.461181640625, -0.8037109375, -0.1212158203125, -0.2080078125, -0.611328125, 0.060821533203125, -0.401611328125, 0.2080078125, -0.56005859375, 0.77197265625, -0.37744140625, -0.0227203369140625, -0.11334228515625, -0.18603515625, 0.022552490234375, -0.5556640625, 0.1331787109375, 0.17041015625, 0.340087890625, -0.4931640625, -0.5146484375, -0.404052734375, 0.475341796875, 0.08282470703125, -0.21337890625, -0.10101318359375, -0.62939453125, -0.08056640625, -0.025970458984375, -0.277099609375, -0.425537109375, -0.87890625, 0.0421142578125, -0.04193115234375, -0.2335205078125, -0.10748291015625, 0.892578125, 0.212158203125, 0.6748046875, 0.11260986328125, 0.6689453125, -0.63818359375, -0.697265625, -0.146484375, -0.02288818359375, 0.3662109375, -0.42236328125, -0.2196044921875, 0.7626953125, -0.32177734375, 0.09527587890625, 0.69384765625, 0.53271484375, -0.1982421875, 0.61669921875, 0.79296875, 0.7568359375, 0.6220703125, 0.69091796875, 0.068115234375, 0.7783203125, -0.64013671875, 0.050689697265625, -0.2335205078125, 0.09197998046875, 0.1240234375, -0.362548828125, -0.1845703125, -0.15185546875, 0.234375, 0.49462890625, -0.2431640625, 0.466064453125, -0.296875, 0.351318359375, -1.0537109375, -0.159912109375, 0.43408203125, 0.5986328125, 0.1934814453125, 0.0296630859375, 0.467529296875, -0.5927734375, -0.71484375, 1.0810546875, -0.74560546875, -0.068115234375, 0.16650390625, -0.287841796875, -0.079345703125, 0.00431060791015625, -0.127685546875, 0.271728515625, -0.1318359375, 0.63623046875, 0.75537109375, -0.71435546875, 0.74072265625, -0.32080078125, 0.055328369140625, 1.5, 0.50244140625, 0.278564453125, 0.56494140625, 0.360107421875, -1.201171875, 0.2337646484375, -0.340087890625, 0.609375, -0.0728759765625, -0.009552001953125, -0.513671875, 0.08465576171875, -0.059722900390625, 0.391357421875, 0.059234619140625, 0.1671142578125, -0.344970703125, 0.310302734375, -0.31103515625, 0.66162109375, -0.43603515625, 0.8046875, -0.103515625, -0.28076171875, 0.1636962890625, -0.6787109375, 0.47314453125, -0.136962890625, -0.2052001953125, 0.80322265625, 0.45458984375, 0.81298828125, 0.78369140625, -0.685546875, 0.724609375, 0.11785888671875, -0.11187744140625, 0.04412841796875, 0.324951171875, 0.78076171875, 0.1488037109375, 0.200439453125, 0.0662841796875, -0.3955078125, -0.8857421875, -0.48779296875, -0.11688232421875, 0.7216796875, -0.449462890625, 0.2459716796875, 0.37060546875, -0.08929443359375, -0.72998046875, -0.45166015625, 0.10699462890625, -0.82666015625, -0.6376953125, 1.0693359375, -0.0767822265625, 0.5703125, -0.216064453125, -0.55419921875, 0.1175537109375, 1.2333984375, 0.0037441253662109375, 0.20556640625, 0.42724609375, 0.122314453125, -0.181396484375, 0.2269287109375, 0.070068359375, -0.0667724609375, -0.33056640625, 0.662109375, -0.154541015625, -0.052642822265625, -0.2347412109375, 0.5966796875, 0.18798828125, 0.28076171875, -0.734375, -0.297119140625, 0.278564453125, 1.15625, 0.08782958984375, 0.442138671875, 0.395263671875, 1.001953125, 0.52734375, 1.0849609375, 0.45263671875, 0.1728515625, 0.63916015625, 0.80615234375, 0.10333251953125, 0.2235107421875, 0.2437744140625, 0.477294921875, 0.417724609375, 0.57177734375, 0.458251953125, 0.1805419921875, -0.391357421875, 0.06982421875, -0.560546875, 0.68896484375, -0.1939697265625, 0.8642578125, 0.1923828125, 0.7421875, -0.55859375, -0.4501953125, -0.0250396728515625, 0.515625, -0.59619140625, -0.97509765625, -0.0914306640625, 0.163330078125, 0.1954345703125, -0.12115478515625, 0.1761474609375, 0.319580078125, 0.5244140625, 0.9091796875, -0.1109619140625, -0.099853515625, -0.744140625, -0.9716796875, -1.25390625, -0.1719970703125, -0.2484130859375, -0.05670166015625, 0.6708984375, -1.048828125, 0.201416015625, -0.035980224609375, 0.0477294921875, 0.1953125, -0.87255859375, 0.46826171875, -0.486083984375, 0.572265625, -1.009765625, 0.8310546875, -0.188232421875, 1.0283203125, -0.469482421875, -0.150146484375, -0.1712646484375, -0.5224609375, 0.71044921875, -0.25048828125, 0.1844482421875, 0.161376953125, -0.63427734375, -0.826171875, -0.43408203125, -0.41015625, -0.4150390625, 0.47314453125, -0.59716796875, 1.1083984375, 0.12335205078125, -0.94287109375, 0.405029296875, 0.603515625, -0.93310546875, 0.41845703125, 0.458740234375, 0.64453125, -0.61474609375, 1.5419921875, 0.65478515625, 0.393798828125, -0.53173828125, -0.3212890625, -0.4482421875, -0.2288818359375, 0.12127685546875, -0.308837890625, -0.35986328125, 0.544921875, 0.374755859375, -1.068359375, 0.25, -1.2490234375, -0.335693359375, -0.04632568359375, -0.8759765625, 1.1923828125, 0.69775390625, 0.27783203125, -0.48779296875, -0.38330078125, -0.220458984375, 0.88720703125, 0.325927734375, -0.37548828125, 0.12115478515625, 0.56494140625, -0.061767578125, 0.08953857421875, 0.09002685546875, -0.77490234375, -0.0313720703125, -0.02703857421875, -0.3134765625, 1.03125, 0.5439453125, -0.14501953125, 0.030609130859375, 0.599609375, -0.701171875, -0.47705078125, -0.1380615234375, 0.55322265625, -0.07745361328125, 0.57470703125, 0.9423828125, -0.20166015625, -0.490478515625, -1.09375, 0.67529296875, 0.050445556640625, 0.86572265625, -0.83203125, 0.67822265625, 0.5224609375, -0.62158203125, 0.420166015625, -0.8369140625, 0.016357421875, 0.97314453125, -0.1552734375, 0.72705078125, -1.2021484375, 0.10479736328125, -0.1123046875, 0.274169921875, 0.59765625, 0.306396484375, 0.81591796875, -0.2958984375, -0.3564453125, -0.1754150390625, 0.039154052734375, -0.1959228515625, -0.50634765625, 0.180419921875, -0.73876953125, -0.310791015625, -0.896484375, 0.455322265625, 0.66455078125, 0.389404296875, -0.313720703125, 0.250244140625, 0.421142578125, 0.8525390625, 0.75830078125, -0.110107421875, -0.1953125, -0.85302734375, 0.41455078125, 0.06927490234375, -0.38330078125, -0.52734375, -0.60986328125, -0.69140625, -0.17919921875, 0.423583984375, -0.091796875, -1.0673828125, 0.1822509765625, -0.2288818359375, 0.495849609375, -0.6220703125, -0.331787109375, -0.1358642578125, 0.319091796875, 0.271484375, -0.7578125, 0.28955078125, -1.1240234375, 0.47998046875, 0.64111328125, -0.728515625, -0.350830078125, -0.448974609375, -0.76513671875, -0.72216796875, 0.07501220703125, 0.9091796875, -0.100341796875, 0.576171875, -1.072265625, 0.70361328125, 0.321044921875, -0.626953125, 0.212158203125, 0.1668701171875, 0.1812744140625, -0.0831298828125, 0.9306640625, -0.625, -0.6181640625, 0.69384765625, -1.083984375, -0.035858154296875, -0.6162109375, 0.183837890625, -0.30712890625, -0.286865234375, -0.045806884765625, 0.428955078125, 0.11688232421875, 0.2568359375, 0.2216796875, 0.342041015625, -0.66064453125, -0.91357421875, 0.428955078125, 0.2447509765625, -0.414306640625, 0.75390625, -0.0199127197265625, -0.56787109375, 0.25, 0.25, -0.5087890625, 0.8486328125, -0.71875, 0.37890625, -0.102783203125, -0.5849609375, -0.326171875, -0.544921875, 0.681640625, 0.11688232421875, -0.556640625, -0.289794921875, -0.8134765625, -0.249755859375, -0.481201171875, -1.099609375, 0.373046875, 0.3271484375, -0.3779296875, -0.1458740234375, -0.2333984375, -0.39599609375, -0.47216796875, -0.37109375, -0.599609375, 0.57373046875, 0.275390625, 0.611328125, 0.012725830078125, -0.328857421875, -0.05548095703125, 0.01148223876953125, 0.16259765625, -0.59130859375, -0.130126953125, 0.266357421875, -0.54345703125, -0.03411865234375, 0.2281494140625, 0.2471923828125, 0.180908203125, 0.58984375, -0.0196685791015625, 0.57568359375, 0.44873046875, -0.65185546875, 1.28515625, 0.49658203125, -1.3134765625, 0.123779296875, 0.37353515625, 0.20166015625, 1.208984375, 0.051788330078125, -0.255126953125, -0.54296875, -0.96142578125, -0.2498779296875, -0.61181640625, -0.1451416015625, -0.65185546875, 0.0628662109375, -0.3349609375, 0.9365234375, -0.04962158203125, -0.3408203125, 0.057861328125, -1.5068359375, 0.2132568359375, -0.8115234375, -0.1534423828125, -0.7548828125, 0.0180511474609375, -0.12213134765625, 1.0849609375, -0.1851806640625, 0.49755859375, 0.372314453125, -0.31884765625, -0.09381103515625, -0.30859375, -0.46728515625, -0.64404296875, 0.2247314453125, -0.116455078125, -0.257080078125, 0.0302581787109375, -0.6572265625, 0.92236328125, -1.111328125, -0.2213134765625, -0.59765625, -0.033233642578125, -0.07965087890625, -0.112060546875, 1.3427734375, -0.263916015625, -0.2685546875, -0.7763671875, 0.521484375, 0.76171875, -0.3642578125, -0.69970703125, -0.6171875, -0.43115234375, -1.166015625, 0.4326171875, -0.68212890625, 0.0345458984375, -0.82421875, -0.287353515625, 0.994140625, -0.2401123046875, 0.1561279296875, 1.2470703125, -0.2005615234375, 0.01447296142578125, -0.630859375, 0.822265625, 0.337646484375, -0.364013671875, -0.1558837890625, -0.0672607421875, -0.7060546875, 0.56396484375, -0.51220703125, -1.0126953125, -0.325439453125, 0.57177734375, 0.95556640625, -0.50634765625, 0.69580078125, 0.17041015625, -0.91357421875, -0.58740234375, 0.984375, 0.10528564453125, -0.010955810546875, 0.92431640625, -0.486572265625, -0.30908203125, -0.1693115234375, -0.206787109375, -0.1126708984375, -0.390625, 1.2314453125, -0.46044921875, -0.615234375, 0.8583984375, 0.59228515625, -1.36328125, -0.82470703125, -0.1470947265625, 0.1854248046875, 0.11004638671875, -0.548828125, 0.411865234375, 0.95068359375, -0.496337890625, 0.3330078125, 0.74658203125, 0.0275726318359375, 0.6123046875, -0.048858642578125, 0.3916015625, -0.387451171875, 0.3681640625, 0.99560546875, -0.6650390625, -0.453857421875, -0.6728515625, 0.16455078125, -0.3720703125, 0.30224609375, 0.7060546875, -0.470947265625, -0.00829315185546875, 0.7177734375, 0.08270263671875, 0.83740234375, -0.63720703125, -0.10693359375, 0.457275390625, -0.6748046875, -0.62060546875, -0.07379150390625, 0.5263671875, 0.124755859375, 0.32275390625, -0.64697265625, 0.049835205078125, 0.2166748046875, 0.564453125, -0.662109375, -0.8486328125, -0.65673828125, -0.8818359375, -0.413330078125, -0.358642578125, -0.282958984375, 0.099609375, 0.45263671875, 0.0723876953125, -0.876953125, 0.06787109375, 0.417236328125, -0.61669921875, 0.92333984375, -1.0556640625, 0.083984375, -0.6650390625, -0.059051513671875, -0.53857421875, -0.320556640625, -0.349365234375, -0.04168701171875, -0.462646484375, 0.130615234375, 0.079833984375, 0.517578125, 0.041412353515625, 0.443603515625, 0.1046142578125, -0.323486328125, 0.1683349609375, 0.3330078125, -0.233154296875, 1.0751953125, 0.30322265625, 0.1529541015625, 0.56201171875, 0.043182373046875, -0.5390625, -0.226806640625, 0.3349609375, 0.734375, -0.206787109375, -0.3974609375, -0.728515625, 0.00772857666015625, -1.1162109375, 0.17919921875, -0.55126953125, -0.1090087890625, 0.1695556640625, -0.2259521484375, 0.1466064453125, 1.365234375, -0.3330078125, 0.353271484375, 0.374267578125, 0.06280517578125, 0.192626953125, 0.325927734375, -0.07562255859375, 0.442138671875, 0.485595703125, -0.355712890625, 0.289306640625, 0.392822265625, -0.1473388671875, 0.4658203125, -0.54833984375, -0.72412109375, -0.96630859375, -0.0249481201171875, -0.1180419921875, 0.470947265625, 0.444091796875, -0.580078125, -0.397216796875, -0.4189453125, -0.55419921875, 0.2327880859375, -1.154296875, -0.876953125, 0.53369140625, -0.2196044921875, -0.27685546875, 0.333740234375, -0.5859375, -0.1854248046875, 0.27978515625, 0.298095703125, -0.76416015625, 0.57080078125, -0.271240234375, 0.11395263671875, -0.208740234375, 0.0299072265625, 0.3310546875, -0.03411865234375, -0.962890625, -0.62158203125, 0.321533203125, 0.962890625, 0.70361328125, 0.23486328125, -0.366943359375, 0.036712646484375, -0.377685546875, 0.061676025390625, -0.365966796875, 0.491455078125, 0.037994384765625, 0.349609375, -0.740234375, -0.36376953125, 0.0203857421875, 0.27685546875, 0.08819580078125, -0.141845703125, -0.41796875, 0.51025390625, 0.533203125, 0.07794189453125, 1.1484375, 0.04986572265625, 1.03125, 0.298828125, -0.126220703125, -0.346435546875, 0.63330078125, 0.455078125, 0.4833984375, -0.6220703125, 0.6123046875, 0.888671875, 0.048187255859375, 0.096435546875, 0.64404296875, 0.396484375, -0.344482421875, 0.009368896484375, -0.2484130859375, 0.07891845703125, 0.74951171875, -0.6103515625, 0.34228515625, -0.14599609375, -0.29345703125, -0.194580078125, -0.630859375, 0.6943359375, -0.261962890625, -0.0533447265625, -0.564453125, -0.37548828125, 0.44775390625, 0.468017578125, 0.48095703125, 0.11322021484375, 1.0380859375, 0.95703125, 0.1439208984375, 0.53955078125, 0.271240234375, 0.66552734375, -0.7265625, 0.1522216796875, 0.5283203125, 0.1981201171875, -0.54248046875, -0.56982421875, -1.013671875, 0.75732421875, -0.79833984375, -0.279541015625, 0.78466796875, -0.75390625, 0.012115478515625, -0.40673828125, 0.50830078125, -0.6630859375, 0.43701171875, 0.321533203125, -0.2003173828125, -0.6220703125, 0.58740234375, -0.3759765625, 0.310302734375, 0.6357421875, 0.8984375, -0.1663818359375, 1.3193359375, 0.5498046875, -0.1966552734375, -0.1512451171875, 0.036376953125, -0.1385498046875, -0.403564453125, -0.227783203125, -0.495849609375, 0.047332763671875, -0.58642578125, -0.55224609375, -0.2095947265625, 0.317626953125, -0.2403564453125, -0.8994140625, -0.499267578125, 0.2099609375, -0.896484375, 0.41552734375, -0.18408203125, -0.1549072265625, 0.0799560546875, -0.304931640625, -0.48291015625, -0.36865234375, 0.046661376953125, -0.365478515625, 0.828125, -0.442138671875, -0.72216796875, -0.62158203125, -0.5419921875, -0.157470703125, 0.197265625, -0.5927734375, -0.6845703125, -0.0197296142578125, 0.71240234375, 0.2374267578125, 0.0853271484375, -0.52880859375, -0.01087188720703125, 1.052734375, 0.849609375, 0.323486328125, 0.72900390625, 0.61572265625, -0.283203125, 0.13671875, -0.552734375, 0.66455078125, -0.1483154296875, -0.0999755859375, -0.0897216796875, 0.28662109375, -0.67431640625, -1.052734375, 0.0264434814453125, 0.599609375, 0.06488037109375, -0.8564453125, -1.5712890625, -0.481689453125, -0.89306640625, -0.1280517578125, -0.62158203125, 0.517578125, 0.716796875, -0.1280517578125, -0.23388671875, -1.0458984375, 4.328125, 0.787109375, 0.654296875, 0.44384765625, 0.26953125, 0.91259765625, 0.5634765625, -0.477783203125, -0.10302734375, -0.95654296875, 0.280029296875, -0.61865234375, 0.2548828125, 0.440185546875, 0.53369140625, 0.62109375, -0.270751953125, -0.03857421875, 0.06768798828125, -0.72216796875, -1.193359375, 0.004817962646484375, 0.11834716796875, 0.2685546875, -0.2061767578125, 0.41162109375, 0.6923828125, -0.68212890625, -0.0716552734375, -0.947265625, 0.05419921875, -0.398681640625, 0.9052734375, -0.062042236328125, -0.05242919921875, 0.6298828125, 0.053131103515625, -0.57568359375, -0.236328125, 0.3505859375, -0.3056640625, 0.164794921875, 0.626953125, -0.47802734375, -0.09161376953125, 0.4970703125, -0.263427734375, 0.411865234375, 0.262451171875, -0.96142578125, 1.0439453125, 0.054779052734375, 0.489990234375, -0.444091796875, -0.8125, -0.038177490234375, 0.26416015625, -0.252197265625, 0.1414794921875, 0.255859375, -0.1544189453125, 0.0645751953125, -0.2210693359375, 0.9765625, -0.953125, 0.73974609375, -0.1629638671875, 0.0178985595703125, -0.2021484375, -0.0179901123046875, 0.06768798828125, -0.043853759765625, -0.259033203125, -0.64453125, 0.487060546875, 0.298095703125, -0.9296875, 0.69580078125, 0.7578125, -0.4140625, 0.5380859375, -0.68701171875, -0.3466796875, -0.155517578125, 0.6884765625, 1.0595703125, -0.77978515625, -0.490478515625, -0.6796875, 0.488525390625, 0.693359375, 0.3037109375, 0.0270843505859375, -0.25830078125, -0.61865234375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Submitted Solution: ``` n, p = map(int, input().split()) final = [] fe = 0 for i in range(0, 4*n, 4): l = [] for j in range(4): s = input() temp = p error = 0 for k in range(len(s)-1, -1, -1): if(s[k] == 'a' or s[k] == 'e' or s[k] == 'i' or s[k] == 'o' or s[k] == 'u'): temp -= 1 if(temp == 0): l.append(s[k:]) break if(len(l) == 4): if(l[0] == l[1] and l[2] == l[3] and l[1] == l[2]): final.append(1) elif(l[0] == l[1] and l[2] == l[3]): final.append(2) elif(l[0] == l[2] and l[1] == l[3]): final.append(3) elif(l[0] == l[3] and l[2] == l[1]): final.append(4) else: fe = 1 if(len(l) == n): final = list(set(final)) # print(final) if(len(final) == 1): if(final[0] == 1): print("aaaa") elif(final[0] == 2): print("aabb") elif(final[0] == 3): print("abab") elif (final[0] == 4): print("abba") elif(len(final) == 2): if(final[0] == 1 or final[1] == 1): if(final[0] == 2): print("aabb") elif(final[0] == 3): print("abab") elif(final[0] == 4): print("abba") elif(final[1] == 2): print("aabb") elif(final[1] == 3): print("abab") elif(final[1] == 4): print("abba") else: print("NO") else: print("NO") else: print("NO") ``` No
5,230
[ 0.22216796875, 0.2015380859375, -0.03302001953125, 0.0404052734375, -0.59033203125, -0.076171875, -0.1773681640625, 0.0310821533203125, 0.0693359375, 0.69921875, 0.16943359375, 0.08087158203125, 0.152099609375, -0.76513671875, -0.6005859375, -0.10992431640625, -0.5361328125, -0.76806640625, -0.33203125, 0.08538818359375, 0.0721435546875, 0.078857421875, -1.25390625, 0.05596923828125, 0.036895751953125, 0.6845703125, 0.505859375, 0.25390625, 1.4736328125, 0.89990234375, 0.176513671875, -0.304443359375, 0.440185546875, -1.0517578125, -0.13330078125, -0.222900390625, 0.424072265625, -0.379150390625, -0.339599609375, -0.943359375, 0.41162109375, -0.1563720703125, 0.60498046875, -0.461181640625, -0.8037109375, -0.1212158203125, -0.2080078125, -0.611328125, 0.060821533203125, -0.401611328125, 0.2080078125, -0.56005859375, 0.77197265625, -0.37744140625, -0.0227203369140625, -0.11334228515625, -0.18603515625, 0.022552490234375, -0.5556640625, 0.1331787109375, 0.17041015625, 0.340087890625, -0.4931640625, -0.5146484375, -0.404052734375, 0.475341796875, 0.08282470703125, -0.21337890625, -0.10101318359375, -0.62939453125, -0.08056640625, -0.025970458984375, -0.277099609375, -0.425537109375, -0.87890625, 0.0421142578125, -0.04193115234375, -0.2335205078125, -0.10748291015625, 0.892578125, 0.212158203125, 0.6748046875, 0.11260986328125, 0.6689453125, -0.63818359375, -0.697265625, -0.146484375, -0.02288818359375, 0.3662109375, -0.42236328125, -0.2196044921875, 0.7626953125, -0.32177734375, 0.09527587890625, 0.69384765625, 0.53271484375, -0.1982421875, 0.61669921875, 0.79296875, 0.7568359375, 0.6220703125, 0.69091796875, 0.068115234375, 0.7783203125, -0.64013671875, 0.050689697265625, -0.2335205078125, 0.09197998046875, 0.1240234375, -0.362548828125, -0.1845703125, -0.15185546875, 0.234375, 0.49462890625, -0.2431640625, 0.466064453125, -0.296875, 0.351318359375, -1.0537109375, -0.159912109375, 0.43408203125, 0.5986328125, 0.1934814453125, 0.0296630859375, 0.467529296875, -0.5927734375, -0.71484375, 1.0810546875, -0.74560546875, -0.068115234375, 0.16650390625, -0.287841796875, -0.079345703125, 0.00431060791015625, -0.127685546875, 0.271728515625, -0.1318359375, 0.63623046875, 0.75537109375, -0.71435546875, 0.74072265625, -0.32080078125, 0.055328369140625, 1.5, 0.50244140625, 0.278564453125, 0.56494140625, 0.360107421875, -1.201171875, 0.2337646484375, -0.340087890625, 0.609375, -0.0728759765625, -0.009552001953125, -0.513671875, 0.08465576171875, -0.059722900390625, 0.391357421875, 0.059234619140625, 0.1671142578125, -0.344970703125, 0.310302734375, -0.31103515625, 0.66162109375, -0.43603515625, 0.8046875, -0.103515625, -0.28076171875, 0.1636962890625, -0.6787109375, 0.47314453125, -0.136962890625, -0.2052001953125, 0.80322265625, 0.45458984375, 0.81298828125, 0.78369140625, -0.685546875, 0.724609375, 0.11785888671875, -0.11187744140625, 0.04412841796875, 0.324951171875, 0.78076171875, 0.1488037109375, 0.200439453125, 0.0662841796875, -0.3955078125, -0.8857421875, -0.48779296875, -0.11688232421875, 0.7216796875, -0.449462890625, 0.2459716796875, 0.37060546875, -0.08929443359375, -0.72998046875, -0.45166015625, 0.10699462890625, -0.82666015625, -0.6376953125, 1.0693359375, -0.0767822265625, 0.5703125, -0.216064453125, -0.55419921875, 0.1175537109375, 1.2333984375, 0.0037441253662109375, 0.20556640625, 0.42724609375, 0.122314453125, -0.181396484375, 0.2269287109375, 0.070068359375, -0.0667724609375, -0.33056640625, 0.662109375, -0.154541015625, -0.052642822265625, -0.2347412109375, 0.5966796875, 0.18798828125, 0.28076171875, -0.734375, -0.297119140625, 0.278564453125, 1.15625, 0.08782958984375, 0.442138671875, 0.395263671875, 1.001953125, 0.52734375, 1.0849609375, 0.45263671875, 0.1728515625, 0.63916015625, 0.80615234375, 0.10333251953125, 0.2235107421875, 0.2437744140625, 0.477294921875, 0.417724609375, 0.57177734375, 0.458251953125, 0.1805419921875, -0.391357421875, 0.06982421875, -0.560546875, 0.68896484375, -0.1939697265625, 0.8642578125, 0.1923828125, 0.7421875, -0.55859375, -0.4501953125, -0.0250396728515625, 0.515625, -0.59619140625, -0.97509765625, -0.0914306640625, 0.163330078125, 0.1954345703125, -0.12115478515625, 0.1761474609375, 0.319580078125, 0.5244140625, 0.9091796875, -0.1109619140625, -0.099853515625, -0.744140625, -0.9716796875, -1.25390625, -0.1719970703125, -0.2484130859375, -0.05670166015625, 0.6708984375, -1.048828125, 0.201416015625, -0.035980224609375, 0.0477294921875, 0.1953125, -0.87255859375, 0.46826171875, -0.486083984375, 0.572265625, -1.009765625, 0.8310546875, -0.188232421875, 1.0283203125, -0.469482421875, -0.150146484375, -0.1712646484375, -0.5224609375, 0.71044921875, -0.25048828125, 0.1844482421875, 0.161376953125, -0.63427734375, -0.826171875, -0.43408203125, -0.41015625, -0.4150390625, 0.47314453125, -0.59716796875, 1.1083984375, 0.12335205078125, -0.94287109375, 0.405029296875, 0.603515625, -0.93310546875, 0.41845703125, 0.458740234375, 0.64453125, -0.61474609375, 1.5419921875, 0.65478515625, 0.393798828125, -0.53173828125, -0.3212890625, -0.4482421875, -0.2288818359375, 0.12127685546875, -0.308837890625, -0.35986328125, 0.544921875, 0.374755859375, -1.068359375, 0.25, -1.2490234375, -0.335693359375, -0.04632568359375, -0.8759765625, 1.1923828125, 0.69775390625, 0.27783203125, -0.48779296875, -0.38330078125, -0.220458984375, 0.88720703125, 0.325927734375, -0.37548828125, 0.12115478515625, 0.56494140625, -0.061767578125, 0.08953857421875, 0.09002685546875, -0.77490234375, -0.0313720703125, -0.02703857421875, -0.3134765625, 1.03125, 0.5439453125, -0.14501953125, 0.030609130859375, 0.599609375, -0.701171875, -0.47705078125, -0.1380615234375, 0.55322265625, -0.07745361328125, 0.57470703125, 0.9423828125, -0.20166015625, -0.490478515625, -1.09375, 0.67529296875, 0.050445556640625, 0.86572265625, -0.83203125, 0.67822265625, 0.5224609375, -0.62158203125, 0.420166015625, -0.8369140625, 0.016357421875, 0.97314453125, -0.1552734375, 0.72705078125, -1.2021484375, 0.10479736328125, -0.1123046875, 0.274169921875, 0.59765625, 0.306396484375, 0.81591796875, -0.2958984375, -0.3564453125, -0.1754150390625, 0.039154052734375, -0.1959228515625, -0.50634765625, 0.180419921875, -0.73876953125, -0.310791015625, -0.896484375, 0.455322265625, 0.66455078125, 0.389404296875, -0.313720703125, 0.250244140625, 0.421142578125, 0.8525390625, 0.75830078125, -0.110107421875, -0.1953125, -0.85302734375, 0.41455078125, 0.06927490234375, -0.38330078125, -0.52734375, -0.60986328125, -0.69140625, -0.17919921875, 0.423583984375, -0.091796875, -1.0673828125, 0.1822509765625, -0.2288818359375, 0.495849609375, -0.6220703125, -0.331787109375, -0.1358642578125, 0.319091796875, 0.271484375, -0.7578125, 0.28955078125, -1.1240234375, 0.47998046875, 0.64111328125, -0.728515625, -0.350830078125, -0.448974609375, -0.76513671875, -0.72216796875, 0.07501220703125, 0.9091796875, -0.100341796875, 0.576171875, -1.072265625, 0.70361328125, 0.321044921875, -0.626953125, 0.212158203125, 0.1668701171875, 0.1812744140625, -0.0831298828125, 0.9306640625, -0.625, -0.6181640625, 0.69384765625, -1.083984375, -0.035858154296875, -0.6162109375, 0.183837890625, -0.30712890625, -0.286865234375, -0.045806884765625, 0.428955078125, 0.11688232421875, 0.2568359375, 0.2216796875, 0.342041015625, -0.66064453125, -0.91357421875, 0.428955078125, 0.2447509765625, -0.414306640625, 0.75390625, -0.0199127197265625, -0.56787109375, 0.25, 0.25, -0.5087890625, 0.8486328125, -0.71875, 0.37890625, -0.102783203125, -0.5849609375, -0.326171875, -0.544921875, 0.681640625, 0.11688232421875, -0.556640625, -0.289794921875, -0.8134765625, -0.249755859375, -0.481201171875, -1.099609375, 0.373046875, 0.3271484375, -0.3779296875, -0.1458740234375, -0.2333984375, -0.39599609375, -0.47216796875, -0.37109375, -0.599609375, 0.57373046875, 0.275390625, 0.611328125, 0.012725830078125, -0.328857421875, -0.05548095703125, 0.01148223876953125, 0.16259765625, -0.59130859375, -0.130126953125, 0.266357421875, -0.54345703125, -0.03411865234375, 0.2281494140625, 0.2471923828125, 0.180908203125, 0.58984375, -0.0196685791015625, 0.57568359375, 0.44873046875, -0.65185546875, 1.28515625, 0.49658203125, -1.3134765625, 0.123779296875, 0.37353515625, 0.20166015625, 1.208984375, 0.051788330078125, -0.255126953125, -0.54296875, -0.96142578125, -0.2498779296875, -0.61181640625, -0.1451416015625, -0.65185546875, 0.0628662109375, -0.3349609375, 0.9365234375, -0.04962158203125, -0.3408203125, 0.057861328125, -1.5068359375, 0.2132568359375, -0.8115234375, -0.1534423828125, -0.7548828125, 0.0180511474609375, -0.12213134765625, 1.0849609375, -0.1851806640625, 0.49755859375, 0.372314453125, -0.31884765625, -0.09381103515625, -0.30859375, -0.46728515625, -0.64404296875, 0.2247314453125, -0.116455078125, -0.257080078125, 0.0302581787109375, -0.6572265625, 0.92236328125, -1.111328125, -0.2213134765625, -0.59765625, -0.033233642578125, -0.07965087890625, -0.112060546875, 1.3427734375, -0.263916015625, -0.2685546875, -0.7763671875, 0.521484375, 0.76171875, -0.3642578125, -0.69970703125, -0.6171875, -0.43115234375, -1.166015625, 0.4326171875, -0.68212890625, 0.0345458984375, -0.82421875, -0.287353515625, 0.994140625, -0.2401123046875, 0.1561279296875, 1.2470703125, -0.2005615234375, 0.01447296142578125, -0.630859375, 0.822265625, 0.337646484375, -0.364013671875, -0.1558837890625, -0.0672607421875, -0.7060546875, 0.56396484375, -0.51220703125, -1.0126953125, -0.325439453125, 0.57177734375, 0.95556640625, -0.50634765625, 0.69580078125, 0.17041015625, -0.91357421875, -0.58740234375, 0.984375, 0.10528564453125, -0.010955810546875, 0.92431640625, -0.486572265625, -0.30908203125, -0.1693115234375, -0.206787109375, -0.1126708984375, -0.390625, 1.2314453125, -0.46044921875, -0.615234375, 0.8583984375, 0.59228515625, -1.36328125, -0.82470703125, -0.1470947265625, 0.1854248046875, 0.11004638671875, -0.548828125, 0.411865234375, 0.95068359375, -0.496337890625, 0.3330078125, 0.74658203125, 0.0275726318359375, 0.6123046875, -0.048858642578125, 0.3916015625, -0.387451171875, 0.3681640625, 0.99560546875, -0.6650390625, -0.453857421875, -0.6728515625, 0.16455078125, -0.3720703125, 0.30224609375, 0.7060546875, -0.470947265625, -0.00829315185546875, 0.7177734375, 0.08270263671875, 0.83740234375, -0.63720703125, -0.10693359375, 0.457275390625, -0.6748046875, -0.62060546875, -0.07379150390625, 0.5263671875, 0.124755859375, 0.32275390625, -0.64697265625, 0.049835205078125, 0.2166748046875, 0.564453125, -0.662109375, -0.8486328125, -0.65673828125, -0.8818359375, -0.413330078125, -0.358642578125, -0.282958984375, 0.099609375, 0.45263671875, 0.0723876953125, -0.876953125, 0.06787109375, 0.417236328125, -0.61669921875, 0.92333984375, -1.0556640625, 0.083984375, -0.6650390625, -0.059051513671875, -0.53857421875, -0.320556640625, -0.349365234375, -0.04168701171875, -0.462646484375, 0.130615234375, 0.079833984375, 0.517578125, 0.041412353515625, 0.443603515625, 0.1046142578125, -0.323486328125, 0.1683349609375, 0.3330078125, -0.233154296875, 1.0751953125, 0.30322265625, 0.1529541015625, 0.56201171875, 0.043182373046875, -0.5390625, -0.226806640625, 0.3349609375, 0.734375, -0.206787109375, -0.3974609375, -0.728515625, 0.00772857666015625, -1.1162109375, 0.17919921875, -0.55126953125, -0.1090087890625, 0.1695556640625, -0.2259521484375, 0.1466064453125, 1.365234375, -0.3330078125, 0.353271484375, 0.374267578125, 0.06280517578125, 0.192626953125, 0.325927734375, -0.07562255859375, 0.442138671875, 0.485595703125, -0.355712890625, 0.289306640625, 0.392822265625, -0.1473388671875, 0.4658203125, -0.54833984375, -0.72412109375, -0.96630859375, -0.0249481201171875, -0.1180419921875, 0.470947265625, 0.444091796875, -0.580078125, -0.397216796875, -0.4189453125, -0.55419921875, 0.2327880859375, -1.154296875, -0.876953125, 0.53369140625, -0.2196044921875, -0.27685546875, 0.333740234375, -0.5859375, -0.1854248046875, 0.27978515625, 0.298095703125, -0.76416015625, 0.57080078125, -0.271240234375, 0.11395263671875, -0.208740234375, 0.0299072265625, 0.3310546875, -0.03411865234375, -0.962890625, -0.62158203125, 0.321533203125, 0.962890625, 0.70361328125, 0.23486328125, -0.366943359375, 0.036712646484375, -0.377685546875, 0.061676025390625, -0.365966796875, 0.491455078125, 0.037994384765625, 0.349609375, -0.740234375, -0.36376953125, 0.0203857421875, 0.27685546875, 0.08819580078125, -0.141845703125, -0.41796875, 0.51025390625, 0.533203125, 0.07794189453125, 1.1484375, 0.04986572265625, 1.03125, 0.298828125, -0.126220703125, -0.346435546875, 0.63330078125, 0.455078125, 0.4833984375, -0.6220703125, 0.6123046875, 0.888671875, 0.048187255859375, 0.096435546875, 0.64404296875, 0.396484375, -0.344482421875, 0.009368896484375, -0.2484130859375, 0.07891845703125, 0.74951171875, -0.6103515625, 0.34228515625, -0.14599609375, -0.29345703125, -0.194580078125, -0.630859375, 0.6943359375, -0.261962890625, -0.0533447265625, -0.564453125, -0.37548828125, 0.44775390625, 0.468017578125, 0.48095703125, 0.11322021484375, 1.0380859375, 0.95703125, 0.1439208984375, 0.53955078125, 0.271240234375, 0.66552734375, -0.7265625, 0.1522216796875, 0.5283203125, 0.1981201171875, -0.54248046875, -0.56982421875, -1.013671875, 0.75732421875, -0.79833984375, -0.279541015625, 0.78466796875, -0.75390625, 0.012115478515625, -0.40673828125, 0.50830078125, -0.6630859375, 0.43701171875, 0.321533203125, -0.2003173828125, -0.6220703125, 0.58740234375, -0.3759765625, 0.310302734375, 0.6357421875, 0.8984375, -0.1663818359375, 1.3193359375, 0.5498046875, -0.1966552734375, -0.1512451171875, 0.036376953125, -0.1385498046875, -0.403564453125, -0.227783203125, -0.495849609375, 0.047332763671875, -0.58642578125, -0.55224609375, -0.2095947265625, 0.317626953125, -0.2403564453125, -0.8994140625, -0.499267578125, 0.2099609375, -0.896484375, 0.41552734375, -0.18408203125, -0.1549072265625, 0.0799560546875, -0.304931640625, -0.48291015625, -0.36865234375, 0.046661376953125, -0.365478515625, 0.828125, -0.442138671875, -0.72216796875, -0.62158203125, -0.5419921875, -0.157470703125, 0.197265625, -0.5927734375, -0.6845703125, -0.0197296142578125, 0.71240234375, 0.2374267578125, 0.0853271484375, -0.52880859375, -0.01087188720703125, 1.052734375, 0.849609375, 0.323486328125, 0.72900390625, 0.61572265625, -0.283203125, 0.13671875, -0.552734375, 0.66455078125, -0.1483154296875, -0.0999755859375, -0.0897216796875, 0.28662109375, -0.67431640625, -1.052734375, 0.0264434814453125, 0.599609375, 0.06488037109375, -0.8564453125, -1.5712890625, -0.481689453125, -0.89306640625, -0.1280517578125, -0.62158203125, 0.517578125, 0.716796875, -0.1280517578125, -0.23388671875, -1.0458984375, 4.328125, 0.787109375, 0.654296875, 0.44384765625, 0.26953125, 0.91259765625, 0.5634765625, -0.477783203125, -0.10302734375, -0.95654296875, 0.280029296875, -0.61865234375, 0.2548828125, 0.440185546875, 0.53369140625, 0.62109375, -0.270751953125, -0.03857421875, 0.06768798828125, -0.72216796875, -1.193359375, 0.004817962646484375, 0.11834716796875, 0.2685546875, -0.2061767578125, 0.41162109375, 0.6923828125, -0.68212890625, -0.0716552734375, -0.947265625, 0.05419921875, -0.398681640625, 0.9052734375, -0.062042236328125, -0.05242919921875, 0.6298828125, 0.053131103515625, -0.57568359375, -0.236328125, 0.3505859375, -0.3056640625, 0.164794921875, 0.626953125, -0.47802734375, -0.09161376953125, 0.4970703125, -0.263427734375, 0.411865234375, 0.262451171875, -0.96142578125, 1.0439453125, 0.054779052734375, 0.489990234375, -0.444091796875, -0.8125, -0.038177490234375, 0.26416015625, -0.252197265625, 0.1414794921875, 0.255859375, -0.1544189453125, 0.0645751953125, -0.2210693359375, 0.9765625, -0.953125, 0.73974609375, -0.1629638671875, 0.0178985595703125, -0.2021484375, -0.0179901123046875, 0.06768798828125, -0.043853759765625, -0.259033203125, -0.64453125, 0.487060546875, 0.298095703125, -0.9296875, 0.69580078125, 0.7578125, -0.4140625, 0.5380859375, -0.68701171875, -0.3466796875, -0.155517578125, 0.6884765625, 1.0595703125, -0.77978515625, -0.490478515625, -0.6796875, 0.488525390625, 0.693359375, 0.3037109375, 0.0270843505859375, -0.25830078125, -0.61865234375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes. Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are considered vowels. Two lines rhyme if their suffixes that start from the k-th vowels (counting from the end) match. If a line has less than k vowels, then such line can't rhyme with any other line. For example, if k = 1, lines commit and hermit rhyme (the corresponding suffixes equal it), and if k = 2, they do not rhyme (ommit ≠ ermit). Today on a literature lesson Vera learned that quatrains can contain four different schemes of rhymes, namely the following ones (the same letters stand for rhyming lines): * Clerihew (aabb); * Alternating (abab); * Enclosed (abba). If all lines of a quatrain pairwise rhyme, then the quatrain can belong to any rhyme scheme (this situation is represented by aaaa). If all quatrains of a poem belong to the same rhyme scheme, then we can assume that the whole poem belongs to this rhyme scheme. If in each quatrain all lines pairwise rhyme, then the rhyme scheme of the poem is aaaa. Let us note that it doesn't matter whether lines from different quatrains rhyme with each other or not. In other words, it is possible that different quatrains aren't connected by a rhyme. Vera got a long poem as a home task. The girl has to analyse it and find the poem rhyme scheme. Help Vera cope with the task. Input The first line contains two integers n and k (1 ≤ n ≤ 2500, 1 ≤ k ≤ 5) — the number of quatrains in the poem and the vowel's number, correspondingly. Next 4n lines contain the poem. Each line is not empty and only consists of small Latin letters. The total length of the lines does not exceed 104. If we assume that the lines are numbered starting from 1, then the first quatrain contains lines number 1, 2, 3, 4; the second one contains lines number 5, 6, 7, 8; and so on. Output Print the rhyme scheme of the poem as "aabb", "abab", "abba", "aaaa"; or "NO" if the poem does not belong to any of the above mentioned schemes. Examples Input 1 1 day may sun fun Output aabb Input 1 1 day may gray way Output aaaa Input 2 1 a a a a a a e e Output aabb Input 2 1 day may sun fun test hill fest thrill Output NO Note In the last sample both quatrains have rhymes but finding the common scheme is impossible, so the answer is "NO". Submitted Solution: ``` n, k = map(int, input().split()) vowels = ['a', 'e', 'i', 'o', 'u'] def find_nth(tab, S, n): amount, pos = (1 if tab[0] in S else 0), 0 while pos < len(tab) and amount < n: pos += 1 if tab[pos] in S: amount += 1 return pos def rhyme_type(lines, k): suffixes = [] for line in lines: amount = 0 for i in line: if i in vowels: amount += 1 if amount < k: return 'TRASH' rev = list(reversed(list(line))) ind_from_front = find_nth(rev, vowels, k) suffixes.append(line[-ind_from_front - 1:]) print(suffixes) if all([suffixes[0] == x for x in suffixes]): return 'aaaa' if suffixes[0] == suffixes[1] and suffixes[2] == suffixes[3]: return 'aabb' if suffixes[0] == suffixes[2] and suffixes[1] == suffixes[3]: return 'abab' if suffixes[0] == suffixes[3] and suffixes[1] == suffixes[2]: return 'abba' return 'TRASH' all_rhymes = set() for _ in range(n): lines = [input(), input(), input(), input()] all_rhymes.add(rhyme_type(lines, k)) if 'TRASH' not in all_rhymes and len(all_rhymes) == 2 and 'aaaa' in all_rhymes: all_rhymes.remove('aaaa') print(list(all_rhymes)[0]) elif len(all_rhymes) > 1 or 'TRASH' in all_rhymes: print('NO') else: print(list(all_rhymes)[0]) ``` No
5,231
[ 0.22216796875, 0.2015380859375, -0.03302001953125, 0.0404052734375, -0.59033203125, -0.076171875, -0.1773681640625, 0.0310821533203125, 0.0693359375, 0.69921875, 0.16943359375, 0.08087158203125, 0.152099609375, -0.76513671875, -0.6005859375, -0.10992431640625, -0.5361328125, -0.76806640625, -0.33203125, 0.08538818359375, 0.0721435546875, 0.078857421875, -1.25390625, 0.05596923828125, 0.036895751953125, 0.6845703125, 0.505859375, 0.25390625, 1.4736328125, 0.89990234375, 0.176513671875, -0.304443359375, 0.440185546875, -1.0517578125, -0.13330078125, -0.222900390625, 0.424072265625, -0.379150390625, -0.339599609375, -0.943359375, 0.41162109375, -0.1563720703125, 0.60498046875, -0.461181640625, -0.8037109375, -0.1212158203125, -0.2080078125, -0.611328125, 0.060821533203125, -0.401611328125, 0.2080078125, -0.56005859375, 0.77197265625, -0.37744140625, -0.0227203369140625, -0.11334228515625, -0.18603515625, 0.022552490234375, -0.5556640625, 0.1331787109375, 0.17041015625, 0.340087890625, -0.4931640625, -0.5146484375, -0.404052734375, 0.475341796875, 0.08282470703125, -0.21337890625, -0.10101318359375, -0.62939453125, -0.08056640625, -0.025970458984375, -0.277099609375, -0.425537109375, -0.87890625, 0.0421142578125, -0.04193115234375, -0.2335205078125, -0.10748291015625, 0.892578125, 0.212158203125, 0.6748046875, 0.11260986328125, 0.6689453125, -0.63818359375, -0.697265625, -0.146484375, -0.02288818359375, 0.3662109375, -0.42236328125, -0.2196044921875, 0.7626953125, -0.32177734375, 0.09527587890625, 0.69384765625, 0.53271484375, -0.1982421875, 0.61669921875, 0.79296875, 0.7568359375, 0.6220703125, 0.69091796875, 0.068115234375, 0.7783203125, -0.64013671875, 0.050689697265625, -0.2335205078125, 0.09197998046875, 0.1240234375, -0.362548828125, -0.1845703125, -0.15185546875, 0.234375, 0.49462890625, -0.2431640625, 0.466064453125, -0.296875, 0.351318359375, -1.0537109375, -0.159912109375, 0.43408203125, 0.5986328125, 0.1934814453125, 0.0296630859375, 0.467529296875, -0.5927734375, -0.71484375, 1.0810546875, -0.74560546875, -0.068115234375, 0.16650390625, -0.287841796875, -0.079345703125, 0.00431060791015625, -0.127685546875, 0.271728515625, -0.1318359375, 0.63623046875, 0.75537109375, -0.71435546875, 0.74072265625, -0.32080078125, 0.055328369140625, 1.5, 0.50244140625, 0.278564453125, 0.56494140625, 0.360107421875, -1.201171875, 0.2337646484375, -0.340087890625, 0.609375, -0.0728759765625, -0.009552001953125, -0.513671875, 0.08465576171875, -0.059722900390625, 0.391357421875, 0.059234619140625, 0.1671142578125, -0.344970703125, 0.310302734375, -0.31103515625, 0.66162109375, -0.43603515625, 0.8046875, -0.103515625, -0.28076171875, 0.1636962890625, -0.6787109375, 0.47314453125, -0.136962890625, -0.2052001953125, 0.80322265625, 0.45458984375, 0.81298828125, 0.78369140625, -0.685546875, 0.724609375, 0.11785888671875, -0.11187744140625, 0.04412841796875, 0.324951171875, 0.78076171875, 0.1488037109375, 0.200439453125, 0.0662841796875, -0.3955078125, -0.8857421875, -0.48779296875, -0.11688232421875, 0.7216796875, -0.449462890625, 0.2459716796875, 0.37060546875, -0.08929443359375, -0.72998046875, -0.45166015625, 0.10699462890625, -0.82666015625, -0.6376953125, 1.0693359375, -0.0767822265625, 0.5703125, -0.216064453125, -0.55419921875, 0.1175537109375, 1.2333984375, 0.0037441253662109375, 0.20556640625, 0.42724609375, 0.122314453125, -0.181396484375, 0.2269287109375, 0.070068359375, -0.0667724609375, -0.33056640625, 0.662109375, -0.154541015625, -0.052642822265625, -0.2347412109375, 0.5966796875, 0.18798828125, 0.28076171875, -0.734375, -0.297119140625, 0.278564453125, 1.15625, 0.08782958984375, 0.442138671875, 0.395263671875, 1.001953125, 0.52734375, 1.0849609375, 0.45263671875, 0.1728515625, 0.63916015625, 0.80615234375, 0.10333251953125, 0.2235107421875, 0.2437744140625, 0.477294921875, 0.417724609375, 0.57177734375, 0.458251953125, 0.1805419921875, -0.391357421875, 0.06982421875, -0.560546875, 0.68896484375, -0.1939697265625, 0.8642578125, 0.1923828125, 0.7421875, -0.55859375, -0.4501953125, -0.0250396728515625, 0.515625, -0.59619140625, -0.97509765625, -0.0914306640625, 0.163330078125, 0.1954345703125, -0.12115478515625, 0.1761474609375, 0.319580078125, 0.5244140625, 0.9091796875, -0.1109619140625, -0.099853515625, -0.744140625, -0.9716796875, -1.25390625, -0.1719970703125, -0.2484130859375, -0.05670166015625, 0.6708984375, -1.048828125, 0.201416015625, -0.035980224609375, 0.0477294921875, 0.1953125, -0.87255859375, 0.46826171875, -0.486083984375, 0.572265625, -1.009765625, 0.8310546875, -0.188232421875, 1.0283203125, -0.469482421875, -0.150146484375, -0.1712646484375, -0.5224609375, 0.71044921875, -0.25048828125, 0.1844482421875, 0.161376953125, -0.63427734375, -0.826171875, -0.43408203125, -0.41015625, -0.4150390625, 0.47314453125, -0.59716796875, 1.1083984375, 0.12335205078125, -0.94287109375, 0.405029296875, 0.603515625, -0.93310546875, 0.41845703125, 0.458740234375, 0.64453125, -0.61474609375, 1.5419921875, 0.65478515625, 0.393798828125, -0.53173828125, -0.3212890625, -0.4482421875, -0.2288818359375, 0.12127685546875, -0.308837890625, -0.35986328125, 0.544921875, 0.374755859375, -1.068359375, 0.25, -1.2490234375, -0.335693359375, -0.04632568359375, -0.8759765625, 1.1923828125, 0.69775390625, 0.27783203125, -0.48779296875, -0.38330078125, -0.220458984375, 0.88720703125, 0.325927734375, -0.37548828125, 0.12115478515625, 0.56494140625, -0.061767578125, 0.08953857421875, 0.09002685546875, -0.77490234375, -0.0313720703125, -0.02703857421875, -0.3134765625, 1.03125, 0.5439453125, -0.14501953125, 0.030609130859375, 0.599609375, -0.701171875, -0.47705078125, -0.1380615234375, 0.55322265625, -0.07745361328125, 0.57470703125, 0.9423828125, -0.20166015625, -0.490478515625, -1.09375, 0.67529296875, 0.050445556640625, 0.86572265625, -0.83203125, 0.67822265625, 0.5224609375, -0.62158203125, 0.420166015625, -0.8369140625, 0.016357421875, 0.97314453125, -0.1552734375, 0.72705078125, -1.2021484375, 0.10479736328125, -0.1123046875, 0.274169921875, 0.59765625, 0.306396484375, 0.81591796875, -0.2958984375, -0.3564453125, -0.1754150390625, 0.039154052734375, -0.1959228515625, -0.50634765625, 0.180419921875, -0.73876953125, -0.310791015625, -0.896484375, 0.455322265625, 0.66455078125, 0.389404296875, -0.313720703125, 0.250244140625, 0.421142578125, 0.8525390625, 0.75830078125, -0.110107421875, -0.1953125, -0.85302734375, 0.41455078125, 0.06927490234375, -0.38330078125, -0.52734375, -0.60986328125, -0.69140625, -0.17919921875, 0.423583984375, -0.091796875, -1.0673828125, 0.1822509765625, -0.2288818359375, 0.495849609375, -0.6220703125, -0.331787109375, -0.1358642578125, 0.319091796875, 0.271484375, -0.7578125, 0.28955078125, -1.1240234375, 0.47998046875, 0.64111328125, -0.728515625, -0.350830078125, -0.448974609375, -0.76513671875, -0.72216796875, 0.07501220703125, 0.9091796875, -0.100341796875, 0.576171875, -1.072265625, 0.70361328125, 0.321044921875, -0.626953125, 0.212158203125, 0.1668701171875, 0.1812744140625, -0.0831298828125, 0.9306640625, -0.625, -0.6181640625, 0.69384765625, -1.083984375, -0.035858154296875, -0.6162109375, 0.183837890625, -0.30712890625, -0.286865234375, -0.045806884765625, 0.428955078125, 0.11688232421875, 0.2568359375, 0.2216796875, 0.342041015625, -0.66064453125, -0.91357421875, 0.428955078125, 0.2447509765625, -0.414306640625, 0.75390625, -0.0199127197265625, -0.56787109375, 0.25, 0.25, -0.5087890625, 0.8486328125, -0.71875, 0.37890625, -0.102783203125, -0.5849609375, -0.326171875, -0.544921875, 0.681640625, 0.11688232421875, -0.556640625, -0.289794921875, -0.8134765625, -0.249755859375, -0.481201171875, -1.099609375, 0.373046875, 0.3271484375, -0.3779296875, -0.1458740234375, -0.2333984375, -0.39599609375, -0.47216796875, -0.37109375, -0.599609375, 0.57373046875, 0.275390625, 0.611328125, 0.012725830078125, -0.328857421875, -0.05548095703125, 0.01148223876953125, 0.16259765625, -0.59130859375, -0.130126953125, 0.266357421875, -0.54345703125, -0.03411865234375, 0.2281494140625, 0.2471923828125, 0.180908203125, 0.58984375, -0.0196685791015625, 0.57568359375, 0.44873046875, -0.65185546875, 1.28515625, 0.49658203125, -1.3134765625, 0.123779296875, 0.37353515625, 0.20166015625, 1.208984375, 0.051788330078125, -0.255126953125, -0.54296875, -0.96142578125, -0.2498779296875, -0.61181640625, -0.1451416015625, -0.65185546875, 0.0628662109375, -0.3349609375, 0.9365234375, -0.04962158203125, -0.3408203125, 0.057861328125, -1.5068359375, 0.2132568359375, -0.8115234375, -0.1534423828125, -0.7548828125, 0.0180511474609375, -0.12213134765625, 1.0849609375, -0.1851806640625, 0.49755859375, 0.372314453125, -0.31884765625, -0.09381103515625, -0.30859375, -0.46728515625, -0.64404296875, 0.2247314453125, -0.116455078125, -0.257080078125, 0.0302581787109375, -0.6572265625, 0.92236328125, -1.111328125, -0.2213134765625, -0.59765625, -0.033233642578125, -0.07965087890625, -0.112060546875, 1.3427734375, -0.263916015625, -0.2685546875, -0.7763671875, 0.521484375, 0.76171875, -0.3642578125, -0.69970703125, -0.6171875, -0.43115234375, -1.166015625, 0.4326171875, -0.68212890625, 0.0345458984375, -0.82421875, -0.287353515625, 0.994140625, -0.2401123046875, 0.1561279296875, 1.2470703125, -0.2005615234375, 0.01447296142578125, -0.630859375, 0.822265625, 0.337646484375, -0.364013671875, -0.1558837890625, -0.0672607421875, -0.7060546875, 0.56396484375, -0.51220703125, -1.0126953125, -0.325439453125, 0.57177734375, 0.95556640625, -0.50634765625, 0.69580078125, 0.17041015625, -0.91357421875, -0.58740234375, 0.984375, 0.10528564453125, -0.010955810546875, 0.92431640625, -0.486572265625, -0.30908203125, -0.1693115234375, -0.206787109375, -0.1126708984375, -0.390625, 1.2314453125, -0.46044921875, -0.615234375, 0.8583984375, 0.59228515625, -1.36328125, -0.82470703125, -0.1470947265625, 0.1854248046875, 0.11004638671875, -0.548828125, 0.411865234375, 0.95068359375, -0.496337890625, 0.3330078125, 0.74658203125, 0.0275726318359375, 0.6123046875, -0.048858642578125, 0.3916015625, -0.387451171875, 0.3681640625, 0.99560546875, -0.6650390625, -0.453857421875, -0.6728515625, 0.16455078125, -0.3720703125, 0.30224609375, 0.7060546875, -0.470947265625, -0.00829315185546875, 0.7177734375, 0.08270263671875, 0.83740234375, -0.63720703125, -0.10693359375, 0.457275390625, -0.6748046875, -0.62060546875, -0.07379150390625, 0.5263671875, 0.124755859375, 0.32275390625, -0.64697265625, 0.049835205078125, 0.2166748046875, 0.564453125, -0.662109375, -0.8486328125, -0.65673828125, -0.8818359375, -0.413330078125, -0.358642578125, -0.282958984375, 0.099609375, 0.45263671875, 0.0723876953125, -0.876953125, 0.06787109375, 0.417236328125, -0.61669921875, 0.92333984375, -1.0556640625, 0.083984375, -0.6650390625, -0.059051513671875, -0.53857421875, -0.320556640625, -0.349365234375, -0.04168701171875, -0.462646484375, 0.130615234375, 0.079833984375, 0.517578125, 0.041412353515625, 0.443603515625, 0.1046142578125, -0.323486328125, 0.1683349609375, 0.3330078125, -0.233154296875, 1.0751953125, 0.30322265625, 0.1529541015625, 0.56201171875, 0.043182373046875, -0.5390625, -0.226806640625, 0.3349609375, 0.734375, -0.206787109375, -0.3974609375, -0.728515625, 0.00772857666015625, -1.1162109375, 0.17919921875, -0.55126953125, -0.1090087890625, 0.1695556640625, -0.2259521484375, 0.1466064453125, 1.365234375, -0.3330078125, 0.353271484375, 0.374267578125, 0.06280517578125, 0.192626953125, 0.325927734375, -0.07562255859375, 0.442138671875, 0.485595703125, -0.355712890625, 0.289306640625, 0.392822265625, -0.1473388671875, 0.4658203125, -0.54833984375, -0.72412109375, -0.96630859375, -0.0249481201171875, -0.1180419921875, 0.470947265625, 0.444091796875, -0.580078125, -0.397216796875, -0.4189453125, -0.55419921875, 0.2327880859375, -1.154296875, -0.876953125, 0.53369140625, -0.2196044921875, -0.27685546875, 0.333740234375, -0.5859375, -0.1854248046875, 0.27978515625, 0.298095703125, -0.76416015625, 0.57080078125, -0.271240234375, 0.11395263671875, -0.208740234375, 0.0299072265625, 0.3310546875, -0.03411865234375, -0.962890625, -0.62158203125, 0.321533203125, 0.962890625, 0.70361328125, 0.23486328125, -0.366943359375, 0.036712646484375, -0.377685546875, 0.061676025390625, -0.365966796875, 0.491455078125, 0.037994384765625, 0.349609375, -0.740234375, -0.36376953125, 0.0203857421875, 0.27685546875, 0.08819580078125, -0.141845703125, -0.41796875, 0.51025390625, 0.533203125, 0.07794189453125, 1.1484375, 0.04986572265625, 1.03125, 0.298828125, -0.126220703125, -0.346435546875, 0.63330078125, 0.455078125, 0.4833984375, -0.6220703125, 0.6123046875, 0.888671875, 0.048187255859375, 0.096435546875, 0.64404296875, 0.396484375, -0.344482421875, 0.009368896484375, -0.2484130859375, 0.07891845703125, 0.74951171875, -0.6103515625, 0.34228515625, -0.14599609375, -0.29345703125, -0.194580078125, -0.630859375, 0.6943359375, -0.261962890625, -0.0533447265625, -0.564453125, -0.37548828125, 0.44775390625, 0.468017578125, 0.48095703125, 0.11322021484375, 1.0380859375, 0.95703125, 0.1439208984375, 0.53955078125, 0.271240234375, 0.66552734375, -0.7265625, 0.1522216796875, 0.5283203125, 0.1981201171875, -0.54248046875, -0.56982421875, -1.013671875, 0.75732421875, -0.79833984375, -0.279541015625, 0.78466796875, -0.75390625, 0.012115478515625, -0.40673828125, 0.50830078125, -0.6630859375, 0.43701171875, 0.321533203125, -0.2003173828125, -0.6220703125, 0.58740234375, -0.3759765625, 0.310302734375, 0.6357421875, 0.8984375, -0.1663818359375, 1.3193359375, 0.5498046875, -0.1966552734375, -0.1512451171875, 0.036376953125, -0.1385498046875, -0.403564453125, -0.227783203125, -0.495849609375, 0.047332763671875, -0.58642578125, -0.55224609375, -0.2095947265625, 0.317626953125, -0.2403564453125, -0.8994140625, -0.499267578125, 0.2099609375, -0.896484375, 0.41552734375, -0.18408203125, -0.1549072265625, 0.0799560546875, -0.304931640625, -0.48291015625, -0.36865234375, 0.046661376953125, -0.365478515625, 0.828125, -0.442138671875, -0.72216796875, -0.62158203125, -0.5419921875, -0.157470703125, 0.197265625, -0.5927734375, -0.6845703125, -0.0197296142578125, 0.71240234375, 0.2374267578125, 0.0853271484375, -0.52880859375, -0.01087188720703125, 1.052734375, 0.849609375, 0.323486328125, 0.72900390625, 0.61572265625, -0.283203125, 0.13671875, -0.552734375, 0.66455078125, -0.1483154296875, -0.0999755859375, -0.0897216796875, 0.28662109375, -0.67431640625, -1.052734375, 0.0264434814453125, 0.599609375, 0.06488037109375, -0.8564453125, -1.5712890625, -0.481689453125, -0.89306640625, -0.1280517578125, -0.62158203125, 0.517578125, 0.716796875, -0.1280517578125, -0.23388671875, -1.0458984375, 4.328125, 0.787109375, 0.654296875, 0.44384765625, 0.26953125, 0.91259765625, 0.5634765625, -0.477783203125, -0.10302734375, -0.95654296875, 0.280029296875, -0.61865234375, 0.2548828125, 0.440185546875, 0.53369140625, 0.62109375, -0.270751953125, -0.03857421875, 0.06768798828125, -0.72216796875, -1.193359375, 0.004817962646484375, 0.11834716796875, 0.2685546875, -0.2061767578125, 0.41162109375, 0.6923828125, -0.68212890625, -0.0716552734375, -0.947265625, 0.05419921875, -0.398681640625, 0.9052734375, -0.062042236328125, -0.05242919921875, 0.6298828125, 0.053131103515625, -0.57568359375, -0.236328125, 0.3505859375, -0.3056640625, 0.164794921875, 0.626953125, -0.47802734375, -0.09161376953125, 0.4970703125, -0.263427734375, 0.411865234375, 0.262451171875, -0.96142578125, 1.0439453125, 0.054779052734375, 0.489990234375, -0.444091796875, -0.8125, -0.038177490234375, 0.26416015625, -0.252197265625, 0.1414794921875, 0.255859375, -0.1544189453125, 0.0645751953125, -0.2210693359375, 0.9765625, -0.953125, 0.73974609375, -0.1629638671875, 0.0178985595703125, -0.2021484375, -0.0179901123046875, 0.06768798828125, -0.043853759765625, -0.259033203125, -0.64453125, 0.487060546875, 0.298095703125, -0.9296875, 0.69580078125, 0.7578125, -0.4140625, 0.5380859375, -0.68701171875, -0.3466796875, -0.155517578125, 0.6884765625, 1.0595703125, -0.77978515625, -0.490478515625, -0.6796875, 0.488525390625, 0.693359375, 0.3037109375, 0.0270843505859375, -0.25830078125, -0.61865234375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Piegirl is buying stickers for a project. Stickers come on sheets, and each sheet of stickers contains exactly n stickers. Each sticker has exactly one character printed on it, so a sheet of stickers can be described by a string of length n. Piegirl wants to create a string s using stickers. She may buy as many sheets of stickers as she wants, and may specify any string of length n for the sheets, but all the sheets must be identical, so the string is the same for all sheets. Once she attains the sheets of stickers, she will take some of the stickers from the sheets and arrange (in any order) them to form s. Determine the minimum number of sheets she has to buy, and provide a string describing a possible sheet of stickers she should buy. Input The first line contains string s (1 ≤ |s| ≤ 1000), consisting of lowercase English characters only. The second line contains an integer n (1 ≤ n ≤ 1000). Output On the first line, print the minimum number of sheets Piegirl has to buy. On the second line, print a string consisting of n lower case English characters. This string should describe a sheet of stickers that Piegirl can buy in order to minimize the number of sheets. If Piegirl cannot possibly form the string s, print instead a single line with the number -1. Examples Input banana 4 Output 2 baan Input banana 3 Output 3 nab Input banana 2 Output -1 Note In the second example, Piegirl can order 3 sheets of stickers with the characters "nab". She can take characters "nab" from the first sheet, "na" from the second, and "a" from the third, and arrange them to from "banana". Tags: binary search, constructive algorithms, greedy Correct Solution: ``` s = input() n = int(input()) d = {} r = 0 for a in s: d.setdefault(a, 0) d[a] += 1 if(d[a] > r): r = d[a] if (len(d) > n): print(-1) else: l = 0 while r - l > 1: k = (l + r) // 2 cur = 0 for x in d.values(): cur += (x+k-1) // k if cur > n: l = k else: r = k print(r) s = '' for a in d.keys(): s += a * ((d[a] + r - 1) // r) l=len(s) s += 'a' * (n-len(s)) print(s) ```
5,339
[ 0.053375244140625, -0.0294952392578125, -0.01251983642578125, 0.2388916015625, -0.50537109375, -0.9912109375, 0.20751953125, -0.0294952392578125, 0.2120361328125, 0.4462890625, 0.62109375, -0.024871826171875, 0.186767578125, -0.439208984375, -0.408447265625, 0.2362060546875, -0.541015625, -0.474609375, -0.3740234375, -0.2471923828125, 0.2340087890625, 0.11419677734375, -1.748046875, -0.385498046875, -0.626953125, 0.9921875, 0.7275390625, 0.113037109375, 1.037109375, 0.9814453125, -0.19482421875, -0.42333984375, 0.59912109375, -1.3095703125, -0.07281494140625, -0.322021484375, 0.479248046875, -0.448486328125, -0.24658203125, -0.29248046875, 0.662109375, -0.279052734375, 0.65283203125, -0.88916015625, -0.95361328125, 0.047698974609375, -0.45068359375, -0.47119140625, 0.007785797119140625, -0.55419921875, 0.384521484375, 0.0684814453125, 0.48388671875, -0.2958984375, 0.035186767578125, -0.077880859375, 0.06939697265625, -0.39208984375, -0.90625, 0.136962890625, 0.12493896484375, -0.0181121826171875, 0.32568359375, -0.6103515625, -0.131103515625, 0.25, -0.300048828125, -0.1822509765625, -0.26806640625, -0.6806640625, -0.45068359375, 0.32861328125, -0.331298828125, -0.64013671875, -0.2435302734375, 0.02069091796875, 0.281494140625, 0.09417724609375, -0.84765625, 0.62548828125, 0.0750732421875, 1.162109375, 0.1163330078125, 0.294677734375, -0.5810546875, -0.65087890625, -0.2171630859375, 0.27587890625, 0.058685302734375, -0.51416015625, -0.1932373046875, 0.60498046875, -0.8271484375, 0.11456298828125, 0.93115234375, 0.7255859375, -0.342529296875, 0.56982421875, 0.495849609375, 0.190185546875, 1.17578125, 1.2216796875, -0.6689453125, 1.1240234375, -0.46728515625, 0.13818359375, 0.08123779296875, 0.01534271240234375, -0.417724609375, -0.16015625, -0.179443359375, -0.34033203125, 0.703125, 0.266845703125, -0.42041015625, 0.72509765625, 0.094970703125, 0.38671875, -0.63134765625, 0.1949462890625, 0.6484375, 0.11199951171875, 0.337890625, -0.3515625, 0.0021114349365234375, -0.18310546875, -0.456787109375, 1.16015625, -0.7138671875, -0.256591796875, 0.39111328125, -0.1136474609375, 0.0360107421875, 0.343505859375, 0.0258941650390625, 0.8955078125, -0.619140625, 0.6728515625, 0.685546875, -0.34130859375, 0.7587890625, -0.2210693359375, -0.40185546875, 1.6484375, 0.61572265625, -0.044219970703125, 0.87841796875, 0.1063232421875, -0.8583984375, 0.2841796875, -0.8779296875, 0.5146484375, 0.218994140625, 0.1524658203125, -0.061126708984375, 0.016815185546875, -0.057647705078125, 0.37109375, 0.09222412109375, -0.1485595703125, -0.20751953125, 0.1505126953125, -0.044342041015625, 1.146484375, -0.418701171875, 0.7841796875, -0.740234375, -0.147216796875, -0.47509765625, -0.64306640625, 0.11981201171875, 0.09173583984375, -0.412841796875, 0.697265625, 0.472900390625, 0.79736328125, 1.341796875, -0.415283203125, 0.4697265625, 0.1380615234375, -0.253173828125, 0.19921875, 0.4326171875, 0.7509765625, 0.1876220703125, 0.41943359375, -0.12432861328125, -0.47216796875, -0.53271484375, -0.681640625, 0.2763671875, 0.454833984375, -0.626953125, 0.282470703125, 0.2734375, 0.07672119140625, -0.705078125, -0.116943359375, -0.0158843994140625, -1.1962890625, -0.296142578125, 0.2449951171875, -0.1422119140625, 0.1251220703125, -0.213623046875, -0.67236328125, -0.036102294921875, 1.103515625, -0.86474609375, -0.294189453125, 0.286376953125, -0.0308837890625, -0.262939453125, 0.194580078125, -0.02569580078125, -0.361083984375, -0.38623046875, 1.044921875, -0.264404296875, 0.00577545166015625, 0.031158447265625, 0.80029296875, 0.1339111328125, 0.2734375, -0.42138671875, -0.21044921875, 0.404296875, 1.158203125, -0.0091552734375, 0.59130859375, -0.0121917724609375, 1.041015625, 0.71826171875, 0.86279296875, 0.44287109375, 0.52294921875, 0.7509765625, 0.73876953125, 0.4443359375, 0.4365234375, 0.0535888671875, 0.58544921875, 0.32958984375, 0.2401123046875, 0.126953125, 0.5078125, 0.07977294921875, 0.07440185546875, -0.64208984375, -0.09393310546875, -0.07208251953125, 0.89306640625, 0.1142578125, 0.472900390625, -0.265869140625, -0.69482421875, 0.016387939453125, 0.70947265625, -0.685546875, -0.36669921875, 0.212890625, 0.1488037109375, 0.283935546875, -0.1741943359375, 0.3984375, 0.387451171875, 0.333740234375, 0.556640625, -0.446533203125, -0.398193359375, -0.8857421875, -1.02734375, -0.90869140625, -0.313232421875, -0.63330078125, 0.064697265625, 0.458984375, -1.10546875, 0.042205810546875, -0.07940673828125, 0.07415771484375, 0.142822265625, -0.79296875, 0.429931640625, 0.028961181640625, 0.5615234375, -0.734375, 0.67626953125, 0.33154296875, 1.1064453125, -0.7685546875, -0.065185546875, 0.08392333984375, -0.5234375, 0.207275390625, -0.00258636474609375, 0.3515625, -0.2269287109375, -0.59619140625, -0.81787109375, -0.44384765625, -0.42236328125, -0.1236572265625, 0.29345703125, -0.43701171875, 0.77783203125, 0.5546875, -0.50439453125, 0.499755859375, 0.69384765625, -0.8583984375, 0.468994140625, 0.47509765625, -0.2490234375, -0.8271484375, 1.1357421875, 0.25439453125, 0.017059326171875, -0.763671875, -0.01442718505859375, -0.177490234375, 0.1619873046875, 0.1436767578125, -0.27490234375, -0.1854248046875, 0.5810546875, -0.04388427734375, -1.091796875, 0.331298828125, -1.279296875, -0.46630859375, -0.257080078125, -0.269287109375, 0.7880859375, 0.89794921875, 0.12261962890625, 0.088623046875, -0.283203125, -0.1727294921875, 0.2347412109375, 0.42236328125, -0.623046875, 0.28857421875, 0.66748046875, -0.363525390625, 0.13232421875, 0.1812744140625, -0.26171875, -0.129638671875, -0.10888671875, 0.5439453125, 0.2978515625, 0.7509765625, 0.15771484375, 0.49755859375, 0.76025390625, -0.96044921875, -0.346923828125, -0.31396484375, 0.85888671875, 0.30712890625, 0.67578125, 0.34765625, -0.399169921875, -0.73388671875, -1.1796875, 0.5771484375, -0.004482269287109375, 0.79052734375, -0.69189453125, 1.0087890625, 0.319580078125, -0.190185546875, 0.310546875, -0.5595703125, -0.461181640625, 1.1591796875, -0.400634765625, 0.94384765625, -0.80859375, 0.00917816162109375, 0.013885498046875, -0.04608154296875, 0.314453125, 0.53515625, 0.74169921875, -0.168701171875, -0.63720703125, -0.53466796875, -0.285888671875, -0.00965118408203125, -0.74560546875, 0.0287933349609375, -0.379638671875, -0.310546875, -0.81982421875, 0.1168212890625, 0.861328125, 0.5986328125, 0.0308685302734375, 0.5185546875, -0.001888275146484375, 0.83642578125, 0.1573486328125, -0.286865234375, 0.0297393798828125, -0.7314453125, 0.61865234375, 0.38037109375, 0.1707763671875, -0.720703125, -0.36083984375, -0.72802734375, 0.275634765625, 0.248046875, -0.54248046875, -0.9365234375, 0.3154296875, -0.5087890625, 0.43017578125, -0.72021484375, -0.5361328125, -0.24658203125, 0.451904296875, 0.69580078125, -0.908203125, 0.04840087890625, -0.654296875, 0.85009765625, 0.440673828125, -0.377685546875, -0.61328125, -0.294921875, -0.475341796875, -0.58935546875, -0.10382080078125, 0.6845703125, -0.303466796875, 0.59228515625, -1.216796875, 0.537109375, 0.408935546875, -0.5361328125, 0.30517578125, 0.367919921875, 0.43505859375, -0.25537109375, 0.24658203125, -0.67724609375, -0.68115234375, 0.42919921875, -1.39453125, 0.6640625, -0.45849609375, 0.70703125, 0.232421875, 0.061370849609375, -0.131591796875, 0.3994140625, -0.60302734375, 0.027099609375, 0.062744140625, 0.2421875, -0.73193359375, -0.420166015625, 0.6982421875, 0.1783447265625, -0.6650390625, 0.994140625, -0.23681640625, -0.5830078125, 0.3017578125, 1.1376953125, -0.8427734375, 0.5615234375, -0.302734375, 0.7177734375, -0.271484375, -0.403076171875, 0.0623779296875, -0.6669921875, 0.90087890625, 0.2354736328125, -1.046875, -0.12139892578125, -1.041015625, -0.2469482421875, -0.2410888671875, -0.658203125, 0.46435546875, 0.198974609375, -0.41162109375, -0.2529296875, -0.229736328125, -0.158447265625, -0.311279296875, -0.475341796875, -0.323974609375, 0.454833984375, 0.68408203125, 0.544921875, 0.156005859375, -0.650390625, 0.462158203125, -0.422119140625, 0.161376953125, -0.54931640625, 0.150146484375, 0.0205841064453125, -0.465576171875, -0.37109375, 0.295654296875, -0.056396484375, 0.1949462890625, 1.16796875, 0.3720703125, 0.07342529296875, 0.5439453125, -0.80615234375, 0.9638671875, 0.1142578125, -0.94287109375, -0.96044921875, 0.496337890625, 0.185546875, 0.603515625, 0.395751953125, -0.703125, -1.056640625, -0.9990234375, 0.08416748046875, -0.546875, -0.225830078125, -1.0859375, -0.21630859375, -0.28369140625, 0.533203125, -0.320068359375, -0.55859375, 0.2900390625, -1.2666015625, 0.09918212890625, -0.96875, -0.1646728515625, -0.67431640625, -0.6416015625, -0.261474609375, 0.84912109375, 0.07403564453125, 0.35595703125, 0.39453125, 0.0250091552734375, 0.378662109375, 0.1884765625, -0.211669921875, -0.2265625, -0.4150390625, 0.298583984375, -0.335693359375, 0.1400146484375, -0.640625, 1.1943359375, -1.046875, 0.2486572265625, 0.01102447509765625, -0.298583984375, -0.2034912109375, -0.29638671875, 1.1787109375, -0.2430419921875, -0.123291015625, -0.67919921875, 0.28369140625, 0.87060546875, -0.417236328125, -0.64501953125, -0.7158203125, -0.481201171875, -0.9755859375, 0.66650390625, -0.21337890625, 0.150390625, -0.931640625, -0.2459716796875, 0.91748046875, -0.53955078125, 0.63427734375, 1.31640625, 0.1837158203125, 0.134033203125, -0.2474365234375, 0.294921875, 0.47412109375, -0.76611328125, 0.10589599609375, 0.1326904296875, -0.60791015625, 0.085205078125, -0.3994140625, -1.248046875, -1.0078125, 0.435302734375, 1.228515625, -0.34423828125, 0.411376953125, -0.626953125, -1.3505859375, -0.57763671875, 0.98095703125, -0.2451171875, 0.290283203125, 0.9912109375, -0.0712890625, 0.031402587890625, 0.14208984375, -0.10162353515625, -0.2685546875, -0.391845703125, 1.1083984375, -0.210205078125, -0.76318359375, 1.041015625, 1.107421875, -1.26171875, -0.64306640625, -0.066162109375, -0.339599609375, -0.2457275390625, -0.642578125, -0.055694580078125, 0.658203125, -0.90283203125, 0.47412109375, 0.654296875, -0.4072265625, 0.35888671875, 0.234619140625, 0.208251953125, -0.59619140625, 0.556640625, 0.234375, -0.1015625, -0.240234375, -0.62353515625, -0.295654296875, -0.22021484375, -0.1683349609375, 0.7939453125, -0.11126708984375, -0.144287109375, 0.30859375, 0.06060791015625, 0.8232421875, -0.556640625, -0.248779296875, 0.0975341796875, -0.59912109375, -0.90087890625, -0.0928955078125, 0.366943359375, -0.099853515625, 0.1507568359375, -0.7578125, -0.0019474029541015625, 0.039276123046875, 0.265625, -0.48291015625, -1.126953125, -0.15771484375, -1.0791015625, -0.3935546875, -0.74609375, -0.71630859375, -0.295654296875, -0.01424407958984375, 0.471923828125, -0.5458984375, -0.068603515625, 0.61767578125, -0.5576171875, 0.9873046875, -0.8310546875, 0.32275390625, -0.7294921875, -0.6162109375, -0.78564453125, 0.18896484375, -0.44482421875, -0.1448974609375, -1.05859375, 0.29736328125, -0.28369140625, 0.34716796875, -0.284912109375, 0.29345703125, -0.396728515625, -0.65234375, 0.046417236328125, 0.0841064453125, -0.3056640625, 0.78759765625, 0.416259765625, -0.2249755859375, 0.14013671875, 0.0090484619140625, -0.081298828125, -0.748046875, 0.5908203125, 0.548828125, 0.0733642578125, 0.0028247833251953125, -0.043304443359375, 0.0919189453125, -0.89404296875, 0.337158203125, -0.332763671875, -0.0088043212890625, 0.37548828125, -0.5, 0.6171875, 1.0419921875, 0.055511474609375, 0.55712890625, 0.27392578125, 0.10882568359375, 0.04034423828125, 0.007740020751953125, -0.07470703125, 0.56298828125, 0.282958984375, -0.247802734375, 0.23583984375, 0.6376953125, -0.22705078125, 0.7724609375, -0.142578125, -0.63330078125, -0.73681640625, 0.10369873046875, 0.0877685546875, 0.40625, 0.5439453125, -0.81640625, -0.250244140625, -0.340576171875, -0.1658935546875, 0.08306884765625, -1.4228515625, -0.90283203125, 0.3701171875, 0.164794921875, -0.378662109375, -0.1544189453125, -0.22021484375, -0.07391357421875, 0.03125, 0.18115234375, -0.6357421875, 0.393798828125, -0.62548828125, 0.431396484375, -0.395263671875, -0.248291015625, 0.32763671875, 0.69873046875, -0.560546875, -0.75830078125, 0.035614013671875, 1.2392578125, 0.1685791015625, -0.08544921875, -0.447265625, 0.1785888671875, 0.1312255859375, 0.481201171875, -0.223876953125, 0.37060546875, -0.263427734375, 0.7314453125, -0.9423828125, -0.0207061767578125, -0.42138671875, 0.66796875, 0.25927734375, -0.5244140625, -0.50244140625, 0.70166015625, 0.69921875, 0.199951171875, 0.796875, 0.2353515625, 0.80615234375, -0.1607666015625, 0.09527587890625, -0.351806640625, 0.716796875, 0.3193359375, 0.83447265625, 0.01337432861328125, 0.412109375, 1.03515625, -0.490966796875, -0.067626953125, 0.10223388671875, 0.035064697265625, 0.212158203125, 0.0709228515625, 0.169189453125, -0.0675048828125, -0.1788330078125, -0.5498046875, 0.4990234375, -0.66845703125, -0.130615234375, -0.234375, -0.5419921875, 0.9287109375, -0.66064453125, -0.324951171875, 0.47509765625, -0.386474609375, 0.09722900390625, 0.44775390625, -0.248779296875, -0.0560302734375, 0.9111328125, 0.38037109375, 0.69140625, 0.76953125, 0.475341796875, 0.40087890625, -0.677734375, 0.1810302734375, -0.06695556640625, -0.00457000732421875, -0.1988525390625, -0.484130859375, -0.791015625, 0.59423828125, -0.428466796875, -0.38330078125, 0.8232421875, -0.468017578125, -0.09039306640625, -0.501953125, 0.57373046875, -0.33837890625, 0.445556640625, 0.39013671875, -0.25927734375, -0.501953125, 0.9921875, -0.03607177734375, 0.56103515625, 0.20458984375, 1.029296875, 0.0018291473388671875, 1.865234375, 0.62939453125, -0.09326171875, 0.15771484375, 0.274658203125, -0.5556640625, -0.3935546875, -0.62255859375, -0.483154296875, -0.1435546875, -1.125, -0.34814453125, -0.3056640625, 1.0439453125, 0.298095703125, -1.05859375, -0.302978515625, 0.5732421875, -1.0029296875, 0.01519012451171875, 0.1295166015625, 0.15771484375, -0.11016845703125, 0.12225341796875, -0.35107421875, -0.3056640625, 0.418212890625, -0.83544921875, 0.5458984375, -0.93603515625, -0.263916015625, -0.62841796875, -0.9814453125, -0.498291015625, -0.1549072265625, -0.60791015625, -0.86328125, 0.376708984375, 0.0865478515625, 0.5078125, 0.435546875, -0.21337890625, 0.162353515625, 1.134765625, 0.93896484375, 0.03253173828125, 0.802734375, 0.412109375, -0.0819091796875, 0.36083984375, -0.07745361328125, 0.35986328125, -0.2958984375, 0.53466796875, -0.143798828125, 0.416748046875, -0.38037109375, -1.32421875, 0.42626953125, 0.4638671875, 0.1881103515625, -0.352783203125, -0.91357421875, -0.1953125, -1.400390625, -0.275390625, -0.57275390625, 0.869140625, -0.2393798828125, -0.02783203125, -0.17236328125, -1.1181640625, 4.21484375, 0.9765625, 0.33837890625, 0.324951171875, 0.442138671875, 0.67431640625, 0.59326171875, -0.5908203125, -0.410400390625, -0.2132568359375, 0.455078125, -0.1497802734375, 0.11480712890625, 0.79443359375, 0.407958984375, 0.406494140625, -0.65283203125, 0.2568359375, -0.0992431640625, -0.90283203125, -0.810546875, 0.322265625, 0.2281494140625, 0.5615234375, -0.115478515625, 0.1387939453125, 0.30810546875, -0.87646484375, -0.1298828125, -0.76708984375, 0.65283203125, -0.830078125, 1, 0.1920166015625, -0.0032787322998046875, 0.55224609375, 0.035400390625, -0.3701171875, -0.204833984375, 0.3251953125, -0.2269287109375, 0.133056640625, 0.7314453125, -0.5244140625, -0.10870361328125, 0.227294921875, -0.552734375, 0.50634765625, -0.0168914794921875, -1.001953125, 1.259765625, -0.0855712890625, 0.349853515625, -0.69189453125, -1.1669921875, 0.0894775390625, 0.26171875, 0.0278167724609375, -0.1845703125, 0.1258544921875, 0.47900390625, 0.466552734375, 0.08538818359375, 0.464599609375, -0.96630859375, 0.86865234375, -0.09326171875, 0.476806640625, -0.36279296875, -0.0094146728515625, -0.1611328125, -0.07794189453125, -0.25244140625, -0.408447265625, 0.8330078125, -0.0904541015625, -0.61962890625, 0.461181640625, 0.4423828125, -0.98046875, 0.428955078125, -0.29833984375, -0.114013671875, -0.060150146484375, 0.55859375, 1.4970703125, -1.1640625, -0.1876220703125, -0.199951171875, 0.810546875, 0.60009765625, 0.81591796875, -0.287109375, -0.35546875, -0.074462890625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Piegirl is buying stickers for a project. Stickers come on sheets, and each sheet of stickers contains exactly n stickers. Each sticker has exactly one character printed on it, so a sheet of stickers can be described by a string of length n. Piegirl wants to create a string s using stickers. She may buy as many sheets of stickers as she wants, and may specify any string of length n for the sheets, but all the sheets must be identical, so the string is the same for all sheets. Once she attains the sheets of stickers, she will take some of the stickers from the sheets and arrange (in any order) them to form s. Determine the minimum number of sheets she has to buy, and provide a string describing a possible sheet of stickers she should buy. Input The first line contains string s (1 ≤ |s| ≤ 1000), consisting of lowercase English characters only. The second line contains an integer n (1 ≤ n ≤ 1000). Output On the first line, print the minimum number of sheets Piegirl has to buy. On the second line, print a string consisting of n lower case English characters. This string should describe a sheet of stickers that Piegirl can buy in order to minimize the number of sheets. If Piegirl cannot possibly form the string s, print instead a single line with the number -1. Examples Input banana 4 Output 2 baan Input banana 3 Output 3 nab Input banana 2 Output -1 Note In the second example, Piegirl can order 3 sheets of stickers with the characters "nab". She can take characters "nab" from the first sheet, "na" from the second, and "a" from the third, and arrange them to from "banana". Tags: binary search, constructive algorithms, greedy Correct Solution: ``` import sys import os from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") import math s = input() n = int(input()) d = {} reserve = '' unique = 0 max_occur = 1 all_letters = '' for x in s: if x in d: d[x] += 1 if d[x] > max_occur: max_occur = d[x] else: d[x] = 1 unique += 1 all_letters += x if unique > n: print(-1) elif unique == n: print(max_occur) print(all_letters) else: l = 1 r = max_occur ans = max_occur check = 0 final_str = all_letters check_str = '' while l<=r: mid = l + (r-l)//2 check = 0 check_str = '' reserve = '' for i in d.keys(): if d[i] > mid: check += math.ceil(d[i]/mid) check_str += i*math.ceil(d[i]/mid) reserve += i*(d[i] - math.ceil(d[i]/mid)) else: check += 1 check_str += i reserve += i*(d[i]-1) if check <= n: final_str = '%s' % check_str if len(final_str) < n: final_str += reserve[:n-len(final_str)] if len(final_str) < n: final_str += 'a'*(n-len(final_str)) ans = mid r = mid-1 else: l = mid+1 print(ans) print(final_str) ```
5,341
[ 0.082763671875, -0.1175537109375, -0.07708740234375, 0.29296875, -0.546875, -1.0166015625, 0.22314453125, 0.0352783203125, 0.356201171875, 0.466796875, 0.5322265625, 0.11566162109375, 0.2384033203125, -0.401123046875, -0.337890625, 0.295166015625, -0.4521484375, -0.5849609375, -0.369873046875, -0.257080078125, 0.2020263671875, -0.035980224609375, -1.697265625, -0.407958984375, -0.712890625, 0.90966796875, 0.56689453125, 0.318115234375, 1.0791015625, 0.90576171875, -0.1607666015625, -0.446533203125, 0.59765625, -1.337890625, -0.036590576171875, -0.257080078125, 0.52001953125, -0.27490234375, -0.305908203125, -0.45263671875, 0.705078125, -0.283447265625, 0.78076171875, -0.935546875, -0.94384765625, 0.056610107421875, -0.35498046875, -0.51220703125, -0.057586669921875, -0.422119140625, 0.398193359375, 0.255126953125, 0.397216796875, -0.355712890625, -0.091552734375, -0.002170562744140625, -0.01971435546875, -0.38232421875, -0.7822265625, 0.181640625, 0.126220703125, -0.056549072265625, 0.40087890625, -0.60888671875, 0.0082550048828125, 0.385986328125, -0.288330078125, -0.1805419921875, -0.3291015625, -0.640625, -0.4501953125, 0.332275390625, -0.1614990234375, -0.67431640625, -0.27001953125, 0.026885986328125, 0.415771484375, 0.1551513671875, -0.7109375, 0.63330078125, 0.0372314453125, 1.1630859375, 0.141845703125, 0.233154296875, -0.6611328125, -0.6767578125, -0.345947265625, 0.021759033203125, 0.07049560546875, -0.5166015625, -0.062347412109375, 0.61669921875, -0.837890625, 0.206787109375, 1.0166015625, 0.78515625, -0.4072265625, 0.56494140625, 0.335693359375, 0.2154541015625, 1.2451171875, 1.228515625, -0.52392578125, 0.94921875, -0.434814453125, 0.1151123046875, 0.1351318359375, 0.01235198974609375, -0.361328125, -0.189697265625, -0.2646484375, -0.420166015625, 0.701171875, 0.385009765625, -0.265380859375, 0.60791015625, 0.06524658203125, 0.43408203125, -0.60791015625, 0.1322021484375, 0.54736328125, 0.1424560546875, 0.306640625, -0.427001953125, -0.053955078125, -0.2322998046875, -0.5244140625, 1.2197265625, -0.6240234375, -0.097900390625, 0.35986328125, -0.162841796875, 0.07501220703125, 0.437744140625, -0.0699462890625, 0.98828125, -0.5185546875, 0.56494140625, 0.8642578125, -0.496337890625, 0.71142578125, -0.2388916015625, -0.3388671875, 1.6728515625, 0.51708984375, 0.013031005859375, 0.7373046875, -0.01493072509765625, -0.87109375, 0.343017578125, -0.90234375, 0.32275390625, 0.271484375, 0.273193359375, -0.1966552734375, 0.1064453125, -0.1668701171875, 0.49609375, 0.2861328125, -0.13623046875, -0.309814453125, 0.235107421875, 0.06463623046875, 1.076171875, -0.43115234375, 0.8349609375, -0.64208984375, -0.1522216796875, -0.3564453125, -0.52685546875, 0.15234375, 0.07666015625, -0.495361328125, 0.5078125, 0.40380859375, 0.65673828125, 1.359375, -0.4345703125, 0.448974609375, 0.1739501953125, -0.330322265625, 0.260009765625, 0.5771484375, 0.630859375, 0.230712890625, 0.452880859375, -0.2105712890625, -0.41796875, -0.443115234375, -0.74462890625, 0.29345703125, 0.61865234375, -0.59130859375, 0.347412109375, 0.25341796875, 0.1083984375, -0.7275390625, -0.171142578125, -0.077880859375, -1.259765625, -0.34228515625, 0.31396484375, -0.11419677734375, 0.07830810546875, -0.0828857421875, -0.68359375, 0.0186767578125, 1.1533203125, -0.72314453125, -0.11578369140625, 0.5107421875, -0.2376708984375, -0.32568359375, 0.226806640625, -0.042694091796875, -0.366455078125, -0.371337890625, 1.0380859375, -0.220703125, 0.026763916015625, 0.1336669921875, 0.7021484375, 0.18115234375, 0.04541015625, -0.480224609375, -0.2213134765625, 0.2352294921875, 1.0439453125, 0.0703125, 0.5029296875, -0.0887451171875, 1.033203125, 0.619140625, 0.80029296875, 0.46337890625, 0.499755859375, 0.7587890625, 0.62939453125, 0.3466796875, 0.5068359375, -0.1158447265625, 0.666015625, 0.1766357421875, 0.21630859375, 0.080322265625, 0.5185546875, 0.174560546875, 0.1268310546875, -0.654296875, -0.1278076171875, -0.095947265625, 0.9091796875, -0.0169830322265625, 0.40234375, -0.29248046875, -0.72509765625, -0.0175628662109375, 0.75341796875, -0.7236328125, -0.364501953125, 0.1968994140625, 0.2115478515625, 0.15283203125, -0.0117950439453125, 0.254638671875, 0.409912109375, 0.29443359375, 0.6708984375, -0.498291015625, -0.35205078125, -0.9951171875, -0.89794921875, -0.9248046875, -0.343505859375, -0.56103515625, 0.1485595703125, 0.58154296875, -1.2119140625, 0.07537841796875, -0.0755615234375, 0.2169189453125, 0.0943603515625, -0.65283203125, 0.40087890625, -0.0234222412109375, 0.63818359375, -0.724609375, 0.63134765625, 0.180419921875, 1.1337890625, -0.7060546875, -0.050140380859375, -0.07867431640625, -0.53759765625, 0.24267578125, 0.05072021484375, 0.26611328125, -0.1566162109375, -0.5458984375, -0.89404296875, -0.5029296875, -0.611328125, -0.174072265625, 0.277099609375, -0.442626953125, 0.7216796875, 0.51513671875, -0.57373046875, 0.57763671875, 0.55859375, -0.68896484375, 0.57958984375, 0.47314453125, -0.216064453125, -0.80224609375, 1.1474609375, 0.155029296875, 0.00238037109375, -0.904296875, -0.048675537109375, -0.10955810546875, 0.055572509765625, 0.1309814453125, -0.314453125, -0.19189453125, 0.64404296875, 0.08282470703125, -1.1376953125, 0.302734375, -1.2265625, -0.396240234375, -0.168212890625, -0.325927734375, 0.658203125, 0.93115234375, 0.196533203125, 0.03961181640625, -0.2415771484375, -0.29736328125, 0.09417724609375, 0.48291015625, -0.64990234375, 0.456787109375, 0.640625, -0.42041015625, 0.104736328125, 0.3134765625, -0.308837890625, -0.1668701171875, -0.0023021697998046875, 0.436279296875, 0.2998046875, 0.6494140625, 0.267333984375, 0.49658203125, 0.7705078125, -0.98681640625, -0.29638671875, -0.34423828125, 0.755859375, 0.41357421875, 0.59765625, 0.362548828125, -0.3671875, -0.693359375, -1.0224609375, 0.60888671875, 0.00928497314453125, 0.869140625, -0.7275390625, 1.0859375, 0.247314453125, -0.272705078125, 0.29296875, -0.496337890625, -0.376708984375, 1.181640625, -0.336181640625, 0.98974609375, -0.76123046875, -0.0244598388671875, -0.0023822784423828125, 0.006893157958984375, 0.26611328125, 0.50341796875, 0.69384765625, -0.1790771484375, -0.64794921875, -0.56689453125, -0.396728515625, -0.0297088623046875, -0.58544921875, 0.029327392578125, -0.34521484375, -0.23828125, -0.87060546875, 0.08734130859375, 1.1083984375, 0.728515625, 0.11968994140625, 0.3935546875, -0.1407470703125, 0.81005859375, 0.2568359375, -0.273193359375, 0.09716796875, -0.791015625, 0.60498046875, 0.4892578125, 0.2142333984375, -0.70458984375, -0.458251953125, -0.82568359375, 0.169189453125, 0.22021484375, -0.39892578125, -0.982421875, 0.274169921875, -0.34716796875, 0.35107421875, -0.82568359375, -0.40576171875, -0.33935546875, 0.52783203125, 0.6708984375, -0.7763671875, 0.0413818359375, -0.51904296875, 0.71484375, 0.51025390625, -0.4765625, -0.640625, -0.3115234375, -0.431396484375, -0.52880859375, -0.036712646484375, 0.556640625, -0.09344482421875, 0.71337890625, -1.158203125, 0.63916015625, 0.36865234375, -0.69482421875, 0.318603515625, 0.300048828125, 0.485595703125, -0.1552734375, 0.103515625, -0.62109375, -0.5888671875, 0.4677734375, -1.3857421875, 0.65380859375, -0.52294921875, 0.55126953125, 0.0452880859375, -0.08074951171875, -0.12353515625, 0.472412109375, -0.4951171875, -0.056427001953125, -0.05474853515625, 0.441162109375, -0.64013671875, -0.472900390625, 0.76171875, 0.1334228515625, -0.80078125, 0.982421875, -0.05035400390625, -0.658203125, 0.33837890625, 1.1455078125, -0.75341796875, 0.53271484375, -0.396240234375, 0.62158203125, -0.291259765625, -0.34033203125, -0.019317626953125, -0.60009765625, 0.82421875, 0.325439453125, -1.041015625, -0.01148223876953125, -1.193359375, -0.40087890625, -0.169921875, -0.56494140625, 0.49267578125, 0.1356201171875, -0.406494140625, -0.288330078125, -0.2335205078125, -0.24462890625, -0.36572265625, -0.4248046875, -0.438720703125, 0.58251953125, 0.65283203125, 0.444580078125, 0.2486572265625, -0.7333984375, 0.40234375, -0.5322265625, 0.0682373046875, -0.5009765625, 0.0728759765625, -0.035552978515625, -0.4873046875, -0.34814453125, 0.37451171875, -0.00344085693359375, 0.209228515625, 1.0869140625, 0.377197265625, 0.0875244140625, 0.52001953125, -0.837890625, 0.876953125, 0.1348876953125, -0.8486328125, -0.93994140625, 0.431884765625, 0.1116943359375, 0.681640625, 0.315673828125, -0.61962890625, -1.15234375, -1.1142578125, 0.11749267578125, -0.40966796875, -0.1949462890625, -0.98828125, -0.188720703125, -0.396240234375, 0.497802734375, -0.1558837890625, -0.5322265625, 0.3837890625, -1.19140625, 0.00795745849609375, -0.96826171875, -0.1861572265625, -0.63330078125, -0.685546875, -0.2161865234375, 0.86767578125, -0.0170440673828125, 0.360107421875, 0.313232421875, 0.12017822265625, 0.25732421875, 0.1265869140625, -0.1717529296875, -0.2142333984375, -0.3740234375, 0.2490234375, -0.39013671875, 0.2386474609375, -0.67626953125, 1.099609375, -0.9814453125, 0.232666015625, 0.07403564453125, -0.2027587890625, -0.2059326171875, -0.10076904296875, 1.18359375, -0.378662109375, -0.017486572265625, -0.701171875, 0.317626953125, 0.72021484375, -0.272216796875, -0.74658203125, -0.5927734375, -0.427001953125, -1.13671875, 0.564453125, -0.343017578125, 0.028839111328125, -0.791015625, -0.131591796875, 0.76318359375, -0.509765625, 0.7265625, 1.2998046875, 0.1640625, -0.04827880859375, -0.2130126953125, 0.53125, 0.454833984375, -0.78125, 0.255859375, 0.13525390625, -0.65087890625, 0.1612548828125, -0.35400390625, -1.2783203125, -0.904296875, 0.26318359375, 1.2197265625, -0.27490234375, 0.495849609375, -0.52001953125, -1.1923828125, -0.459716796875, 1.0126953125, -0.22119140625, 0.1981201171875, 0.9765625, -0.1864013671875, 0.208984375, 0.14111328125, -0.09893798828125, -0.11260986328125, -0.296630859375, 1.1474609375, -0.1763916015625, -0.77001953125, 0.9794921875, 0.990234375, -1.3125, -0.6728515625, -0.1717529296875, -0.275390625, -0.140869140625, -0.505859375, -0.102294921875, 0.6318359375, -0.91552734375, 0.481689453125, 0.67529296875, -0.399169921875, 0.45849609375, 0.24755859375, 0.007427215576171875, -0.6015625, 0.394287109375, 0.260498046875, -0.1690673828125, -0.308349609375, -0.5625, -0.2056884765625, -0.328369140625, -0.08209228515625, 0.7939453125, -0.1539306640625, -0.12054443359375, 0.255859375, 0.08599853515625, 0.71875, -0.47607421875, -0.1956787109375, -0.0537109375, -0.64794921875, -0.83740234375, -0.056182861328125, 0.404052734375, -0.06298828125, 0.1451416015625, -0.79931640625, 0.0224761962890625, 0.1402587890625, 0.1837158203125, -0.276611328125, -1.2109375, -0.1910400390625, -0.9697265625, -0.2484130859375, -0.71728515625, -0.74755859375, -0.366455078125, -0.0814208984375, 0.491455078125, -0.587890625, 0.009918212890625, 0.67236328125, -0.42041015625, 0.90283203125, -0.87451171875, 0.283203125, -0.70068359375, -0.55029296875, -0.82177734375, 0.29052734375, -0.4287109375, -0.1849365234375, -1.0009765625, 0.1917724609375, -0.28857421875, 0.488525390625, -0.17578125, 0.27880859375, -0.42333984375, -0.619140625, -0.085693359375, 0.089111328125, -0.22705078125, 0.8662109375, 0.384521484375, -0.32763671875, 0.208740234375, -0.07135009765625, -0.0026092529296875, -0.80078125, 0.5322265625, 0.5068359375, 0.0247344970703125, -0.177001953125, -0.10205078125, 0.10125732421875, -0.8310546875, 0.293212890625, -0.3515625, 0.0880126953125, 0.43212890625, -0.489013671875, 0.45556640625, 0.9462890625, -0.046600341796875, 0.5634765625, 0.1671142578125, 0.06231689453125, 0.13720703125, 0.01023101806640625, 0.030670166015625, 0.56787109375, 0.289794921875, -0.34619140625, 0.289794921875, 0.6044921875, -0.30859375, 0.87158203125, -0.2353515625, -0.37109375, -0.6201171875, 0.140625, 0.1610107421875, 0.333251953125, 0.4443359375, -0.84521484375, -0.413818359375, -0.287109375, -0.210693359375, 0.0904541015625, -1.4287109375, -0.8603515625, 0.402587890625, 0.038726806640625, -0.310546875, -0.2335205078125, -0.208740234375, -0.03033447265625, 0.10601806640625, -0.06353759765625, -0.5908203125, 0.2227783203125, -0.5771484375, 0.38037109375, -0.6357421875, -0.20263671875, 0.302490234375, 0.568359375, -0.552734375, -0.763671875, 0.140869140625, 1.3251953125, 0.08966064453125, -0.06378173828125, -0.51220703125, 0.108642578125, 0.149658203125, 0.5126953125, -0.09368896484375, 0.346435546875, -0.23486328125, 0.68017578125, -0.8857421875, -0.029052734375, -0.4677734375, 0.5380859375, 0.27392578125, -0.50244140625, -0.5390625, 0.71728515625, 0.61376953125, 0.31494140625, 0.89501953125, 0.138671875, 0.7939453125, -0.194580078125, 0.0218048095703125, -0.4365234375, 0.77734375, 0.336669921875, 0.81103515625, -0.040771484375, 0.521484375, 1.0419921875, -0.49365234375, -0.24072265625, 0.07293701171875, 0.1622314453125, 0.037811279296875, 0.114990234375, 0.0863037109375, -0.08807373046875, -0.2086181640625, -0.529296875, 0.60498046875, -0.6748046875, -0.210205078125, -0.1937255859375, -0.50341796875, 0.88671875, -0.7138671875, -0.385009765625, 0.57421875, -0.43408203125, 0.141357421875, 0.3662109375, -0.26318359375, -0.035003662109375, 0.943359375, 0.28857421875, 0.55224609375, 0.7509765625, 0.48974609375, 0.517578125, -0.673828125, 0.01212310791015625, -0.072998046875, 0.0002162456512451172, -0.173828125, -0.278076171875, -0.75830078125, 0.474365234375, -0.41064453125, -0.30419921875, 0.73779296875, -0.43359375, -0.103271484375, -0.59423828125, 0.4658203125, -0.330322265625, 0.5126953125, 0.49658203125, -0.2396240234375, -0.498779296875, 0.8935546875, -0.00926971435546875, 0.44384765625, 0.1463623046875, 1.0146484375, 0.0562744140625, 1.818359375, 0.6181640625, -0.1334228515625, -0.01097869873046875, 0.1256103515625, -0.58447265625, -0.50146484375, -0.412841796875, -0.505859375, -0.1405029296875, -1.0712890625, -0.40478515625, -0.1055908203125, 0.962890625, 0.307861328125, -1.0751953125, -0.2210693359375, 0.5166015625, -1.060546875, 0.12548828125, 0.09100341796875, 0.1778564453125, -0.07025146484375, 0.2041015625, -0.2783203125, -0.421875, 0.38330078125, -0.79443359375, 0.66748046875, -0.958984375, -0.2357177734375, -0.7158203125, -0.9345703125, -0.44482421875, -0.28759765625, -0.5849609375, -0.806640625, 0.381591796875, 0.1668701171875, 0.4443359375, 0.421142578125, -0.145751953125, 0.273193359375, 1.2119140625, 1.1328125, 0.1490478515625, 0.83642578125, 0.357666015625, -0.016998291015625, 0.3134765625, 0.060760498046875, 0.35693359375, -0.272216796875, 0.3818359375, -0.2060546875, 0.5751953125, -0.444091796875, -1.30859375, 0.355712890625, 0.34130859375, 0.1912841796875, -0.303955078125, -0.93115234375, -0.156494140625, -1.4814453125, -0.39013671875, -0.69580078125, 0.66748046875, -0.238037109375, -0.10345458984375, -0.1275634765625, -1.142578125, 4.265625, 0.97802734375, 0.359130859375, 0.37060546875, 0.3984375, 0.70361328125, 0.67041015625, -0.47412109375, -0.47998046875, -0.358154296875, 0.489501953125, -0.16748046875, 0.0958251953125, 0.84033203125, 0.5400390625, 0.4736328125, -0.62890625, 0.1104736328125, -0.0782470703125, -0.83837890625, -0.88671875, 0.182861328125, 0.263916015625, 0.439208984375, 0.02301025390625, 0.050048828125, 0.30419921875, -0.79541015625, -0.054443359375, -0.681640625, 0.6240234375, -0.767578125, 0.947265625, 0.1346435546875, 0.085693359375, 0.51171875, 0.05303955078125, -0.350341796875, -0.11566162109375, 0.328125, -0.4990234375, 0.1654052734375, 0.61279296875, -0.44091796875, 0.003467559814453125, 0.2384033203125, -0.37548828125, 0.68115234375, 0.04534912109375, -1.0419921875, 1.359375, -0.0166168212890625, 0.26025390625, -0.87060546875, -1.0615234375, 0.1287841796875, 0.2371826171875, -0.062164306640625, -0.206298828125, 0.1590576171875, 0.55908203125, 0.441650390625, 0.0007953643798828125, 0.44970703125, -0.9931640625, 0.8447265625, -0.134033203125, 0.55078125, -0.476806640625, -0.11810302734375, -0.2493896484375, 0.0233917236328125, -0.15869140625, -0.419677734375, 0.76025390625, -0.10699462890625, -0.72900390625, 0.49169921875, 0.35546875, -0.859375, 0.442138671875, -0.385986328125, -0.09259033203125, -0.0032215118408203125, 0.51953125, 1.677734375, -1.1494140625, -0.10809326171875, -0.2958984375, 0.7890625, 0.755859375, 0.72900390625, -0.283935546875, -0.37255859375, -0.03533935546875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Piegirl is buying stickers for a project. Stickers come on sheets, and each sheet of stickers contains exactly n stickers. Each sticker has exactly one character printed on it, so a sheet of stickers can be described by a string of length n. Piegirl wants to create a string s using stickers. She may buy as many sheets of stickers as she wants, and may specify any string of length n for the sheets, but all the sheets must be identical, so the string is the same for all sheets. Once she attains the sheets of stickers, she will take some of the stickers from the sheets and arrange (in any order) them to form s. Determine the minimum number of sheets she has to buy, and provide a string describing a possible sheet of stickers she should buy. Input The first line contains string s (1 ≤ |s| ≤ 1000), consisting of lowercase English characters only. The second line contains an integer n (1 ≤ n ≤ 1000). Output On the first line, print the minimum number of sheets Piegirl has to buy. On the second line, print a string consisting of n lower case English characters. This string should describe a sheet of stickers that Piegirl can buy in order to minimize the number of sheets. If Piegirl cannot possibly form the string s, print instead a single line with the number -1. Examples Input banana 4 Output 2 baan Input banana 3 Output 3 nab Input banana 2 Output -1 Note In the second example, Piegirl can order 3 sheets of stickers with the characters "nab". She can take characters "nab" from the first sheet, "na" from the second, and "a" from the third, and arrange them to from "banana". Tags: binary search, constructive algorithms, greedy Correct Solution: ``` import math from sys import stdin from math import ceil if __name__ == '__main__': s = input() n = int(input()) dictionary = {} for i in s: if i in dictionary: dictionary[i] = dictionary[i] + 1 else: dictionary[i] = 1 if len(dictionary) > n: print(-1) else: if len(s) < n: print(1) newS = s else: lengthS = len(s) // n newLength = len(s) while lengthS < newLength: mid = (lengthS + newLength) // 2 total = 0 for i in dictionary: total = total + ceil(dictionary[i] / mid) if total > n: lengthS = mid + 1 else: newLength = mid print(lengthS) newS = '' for i in dictionary: for j in range(ceil(dictionary[i] / lengthS)): newS = newS + i for i in range(n - len(newS)): newS = newS + s[0] print(newS) ```
5,342
[ 0.0277557373046875, -0.004024505615234375, -0.04058837890625, 0.238525390625, -0.5634765625, -0.83642578125, 0.1666259765625, 0.0134429931640625, 0.2156982421875, 0.4501953125, 0.55419921875, -0.053253173828125, 0.10443115234375, -0.48876953125, -0.394775390625, 0.267578125, -0.53662109375, -0.467041015625, -0.2822265625, -0.2447509765625, 0.2110595703125, 0.099365234375, -1.7109375, -0.28466796875, -0.619140625, 0.921875, 0.81591796875, 0.1595458984375, 0.958984375, 1.080078125, -0.1895751953125, -0.4287109375, 0.509765625, -1.32421875, -0.10870361328125, -0.3115234375, 0.5322265625, -0.59033203125, -0.2357177734375, -0.309814453125, 0.57275390625, -0.279052734375, 0.57080078125, -0.94580078125, -0.89990234375, 0.05169677734375, -0.458984375, -0.4482421875, 0.0875244140625, -0.494873046875, 0.466796875, 0.043365478515625, 0.491943359375, -0.422607421875, -0.044830322265625, 0.031036376953125, 0.0291595458984375, -0.38525390625, -0.875, 0.087890625, 0.0992431640625, -0.06201171875, 0.31591796875, -0.57861328125, -0.0562744140625, 0.299560546875, -0.243408203125, -0.275146484375, -0.23779296875, -0.70703125, -0.44970703125, 0.29638671875, -0.28076171875, -0.66162109375, -0.15087890625, 0.0207366943359375, 0.2447509765625, 0.1044921875, -0.7763671875, 0.638671875, 0.149169921875, 1.24609375, 0.070556640625, 0.467041015625, -0.5546875, -0.65234375, -0.309814453125, 0.315185546875, 0.0311431884765625, -0.499267578125, -0.1796875, 0.67626953125, -0.83349609375, 0.056610107421875, 0.89599609375, 0.72119140625, -0.287841796875, 0.55517578125, 0.42822265625, 0.1978759765625, 1.1240234375, 1.208984375, -0.6484375, 1.115234375, -0.48779296875, 0.2099609375, 0.05401611328125, -0.042510986328125, -0.4375, -0.171875, -0.2220458984375, -0.397216796875, 0.712890625, 0.300048828125, -0.416259765625, 0.79833984375, 0.0187835693359375, 0.374755859375, -0.6689453125, 0.240478515625, 0.6083984375, 0.221923828125, 0.3232421875, -0.36865234375, -0.03271484375, -0.19580078125, -0.436279296875, 1.1806640625, -0.6728515625, -0.271728515625, 0.3408203125, -0.0513916015625, -0.074951171875, 0.31787109375, 0.05584716796875, 0.85205078125, -0.5869140625, 0.7197265625, 0.77294921875, -0.372314453125, 0.76025390625, -0.280029296875, -0.261962890625, 1.6884765625, 0.623046875, -0.082275390625, 0.921875, 0.11700439453125, -0.720703125, 0.2440185546875, -0.91162109375, 0.55517578125, 0.2413330078125, 0.190673828125, 0.024810791015625, 0.04833984375, -0.05352783203125, 0.439453125, 0.1553955078125, -0.120849609375, -0.21044921875, 0.2042236328125, -0.053192138671875, 1.1240234375, -0.363525390625, 0.68017578125, -0.73876953125, -0.1815185546875, -0.54248046875, -0.57177734375, 0.10455322265625, 0.06280517578125, -0.463134765625, 0.6396484375, 0.455078125, 0.876953125, 1.37890625, -0.489990234375, 0.5517578125, 0.17822265625, -0.348388671875, 0.13720703125, 0.466796875, 0.83154296875, 0.22802734375, 0.43212890625, -0.147216796875, -0.37451171875, -0.47509765625, -0.69580078125, 0.32470703125, 0.5283203125, -0.61767578125, 0.276611328125, 0.23828125, 0.14453125, -0.734375, -0.10498046875, -0.0014791488647460938, -1.1611328125, -0.39453125, 0.263671875, -0.172607421875, 0.0158538818359375, -0.2919921875, -0.67822265625, 0.038238525390625, 1.1181640625, -0.8798828125, -0.301513671875, 0.325439453125, -0.0389404296875, -0.29443359375, 0.155029296875, -0.045074462890625, -0.220458984375, -0.4716796875, 0.97216796875, -0.238037109375, -0.0545654296875, 0.111572265625, 0.8671875, 0.08819580078125, 0.222900390625, -0.45654296875, -0.203369140625, 0.399169921875, 1.201171875, 0.0210418701171875, 0.591796875, 0.0169525146484375, 1.0478515625, 0.623046875, 0.84912109375, 0.475830078125, 0.509765625, 0.78173828125, 0.71337890625, 0.367431640625, 0.495849609375, -0.0635986328125, 0.67822265625, 0.30029296875, 0.286865234375, 0.152099609375, 0.428466796875, 0.079833984375, 0.240478515625, -0.60693359375, -0.030242919921875, -0.093505859375, 0.9267578125, 0.17431640625, 0.39404296875, -0.356689453125, -0.720703125, 0.03662109375, 0.77685546875, -0.7236328125, -0.34326171875, 0.1322021484375, 0.2191162109375, 0.264892578125, -0.0931396484375, 0.345947265625, 0.36376953125, 0.33349609375, 0.5283203125, -0.52197265625, -0.355224609375, -1.0087890625, -1.0537109375, -0.93212890625, -0.28173828125, -0.62744140625, 0.01131439208984375, 0.40771484375, -1.1142578125, -0.0250396728515625, -0.0230712890625, 0.06048583984375, 0.2257080078125, -0.78173828125, 0.36572265625, 0.0230865478515625, 0.497802734375, -0.78369140625, 0.7041015625, 0.374267578125, 1.068359375, -0.87646484375, 0.0251617431640625, 0.10369873046875, -0.5771484375, 0.267578125, -0.056732177734375, 0.359130859375, -0.2239990234375, -0.6025390625, -0.8037109375, -0.4599609375, -0.39111328125, -0.1654052734375, 0.313232421875, -0.31884765625, 0.7626953125, 0.59375, -0.61181640625, 0.489013671875, 0.59423828125, -0.8896484375, 0.37451171875, 0.491455078125, -0.267822265625, -0.93603515625, 1.150390625, 0.2337646484375, 0.0302886962890625, -0.7685546875, -0.057281494140625, -0.211181640625, 0.1751708984375, 0.07708740234375, -0.24560546875, -0.0963134765625, 0.55859375, 0.04486083984375, -1.03515625, 0.3935546875, -1.3095703125, -0.51806640625, -0.2783203125, -0.281494140625, 0.8251953125, 0.91015625, 0.130859375, 0.034454345703125, -0.3056640625, -0.138671875, 0.3388671875, 0.486083984375, -0.62744140625, 0.29541015625, 0.67041015625, -0.337890625, 0.1331787109375, 0.252685546875, -0.30029296875, -0.118408203125, -0.0634765625, 0.5576171875, 0.29443359375, 0.69873046875, 0.1826171875, 0.46240234375, 0.81298828125, -0.98388671875, -0.306640625, -0.30078125, 0.86572265625, 0.343017578125, 0.54345703125, 0.382568359375, -0.396240234375, -0.7060546875, -1.1796875, 0.54248046875, -0.02178955078125, 0.8056640625, -0.724609375, 1.0859375, 0.27490234375, -0.2069091796875, 0.3515625, -0.474853515625, -0.378173828125, 1.1435546875, -0.353271484375, 0.927734375, -0.7490234375, 0.020721435546875, -0.1031494140625, 0.00042438507080078125, 0.25439453125, 0.4765625, 0.72119140625, -0.161376953125, -0.642578125, -0.5595703125, -0.30224609375, -0.0218963623046875, -0.7392578125, -0.0049285888671875, -0.391357421875, -0.371826171875, -0.7841796875, 0.0947265625, 0.8876953125, 0.69970703125, -0.02838134765625, 0.419921875, 0.0113067626953125, 0.7861328125, 0.1934814453125, -0.28955078125, -0.004268646240234375, -0.78271484375, 0.74951171875, 0.3359375, 0.139404296875, -0.79443359375, -0.3173828125, -0.70751953125, 0.248046875, 0.178466796875, -0.452392578125, -0.9423828125, 0.257080078125, -0.461669921875, 0.353271484375, -0.7607421875, -0.564453125, -0.15869140625, 0.5126953125, 0.72412109375, -0.9169921875, 0.0467529296875, -0.6494140625, 0.76806640625, 0.406982421875, -0.3759765625, -0.65869140625, -0.364013671875, -0.52783203125, -0.55517578125, -0.1290283203125, 0.75146484375, -0.301513671875, 0.67626953125, -1.3447265625, 0.5380859375, 0.4755859375, -0.51904296875, 0.2200927734375, 0.388916015625, 0.50048828125, -0.201904296875, 0.257568359375, -0.66064453125, -0.6826171875, 0.359130859375, -1.3740234375, 0.69287109375, -0.52978515625, 0.66357421875, 0.197998046875, 0.12310791015625, -0.0712890625, 0.5380859375, -0.560546875, -0.01361083984375, 0.037750244140625, 0.23095703125, -0.7265625, -0.4248046875, 0.779296875, 0.076416015625, -0.66552734375, 0.96484375, -0.27294921875, -0.5693359375, 0.2568359375, 1.0029296875, -0.72607421875, 0.473388671875, -0.31201171875, 0.6982421875, -0.287109375, -0.387939453125, 0.00323486328125, -0.61572265625, 0.9033203125, 0.2435302734375, -1.005859375, -0.07470703125, -1.140625, -0.1981201171875, -0.154052734375, -0.6572265625, 0.464111328125, 0.1632080078125, -0.425048828125, -0.289306640625, -0.1607666015625, -0.15576171875, -0.340576171875, -0.42626953125, -0.261474609375, 0.4091796875, 0.60205078125, 0.521484375, 0.1424560546875, -0.6142578125, 0.419677734375, -0.37255859375, 0.154052734375, -0.572265625, 0.09820556640625, -0.0101776123046875, -0.468505859375, -0.38671875, 0.3291015625, -0.1239013671875, 0.1395263671875, 1.1669921875, 0.341796875, 0.031219482421875, 0.5986328125, -0.693359375, 0.955078125, 0.0948486328125, -1.0107421875, -0.833984375, 0.48291015625, 0.1282958984375, 0.64208984375, 0.3623046875, -0.62353515625, -1.0576171875, -0.8974609375, 0.050445556640625, -0.53125, -0.34619140625, -1.0654296875, -0.1600341796875, -0.2783203125, 0.65234375, -0.344482421875, -0.57763671875, 0.2232666015625, -1.212890625, 0.0179290771484375, -1.0234375, -0.1536865234375, -0.61279296875, -0.70751953125, -0.266357421875, 0.8974609375, 0.085693359375, 0.455322265625, 0.250732421875, 0.0014190673828125, 0.3330078125, 0.1578369140625, -0.19189453125, -0.26953125, -0.377197265625, 0.322265625, -0.25634765625, 0.1746826171875, -0.59228515625, 1.1845703125, -1.0849609375, 0.1898193359375, -0.0188751220703125, -0.2091064453125, -0.1533203125, -0.318115234375, 1.2412109375, -0.29638671875, -0.18359375, -0.6396484375, 0.2451171875, 0.95166015625, -0.353515625, -0.58984375, -0.7255859375, -0.54345703125, -0.99609375, 0.67236328125, -0.203125, 0.19140625, -0.89453125, -0.2061767578125, 0.892578125, -0.556640625, 0.63427734375, 1.271484375, 0.159912109375, 0.1773681640625, -0.282958984375, 0.2861328125, 0.493896484375, -0.84130859375, 0.272216796875, 0.132568359375, -0.57763671875, 0.08099365234375, -0.34521484375, -1.2646484375, -1.0048828125, 0.45751953125, 1.228515625, -0.268310546875, 0.316162109375, -0.56640625, -1.3740234375, -0.56982421875, 1.0107421875, -0.142578125, 0.34033203125, 1.021484375, -0.03558349609375, 0.0357666015625, 0.120361328125, -0.171875, -0.26416015625, -0.268310546875, 1.05859375, -0.28369140625, -0.77197265625, 0.99462890625, 1.048828125, -1.1728515625, -0.71240234375, -0.0161895751953125, -0.379150390625, -0.2222900390625, -0.71240234375, 0.07568359375, 0.59814453125, -0.86083984375, 0.381103515625, 0.59033203125, -0.449462890625, 0.287841796875, 0.29736328125, 0.2142333984375, -0.63037109375, 0.5419921875, 0.281982421875, -0.1964111328125, -0.2171630859375, -0.61279296875, -0.29052734375, -0.2269287109375, -0.177734375, 0.80078125, -0.2435302734375, -0.02374267578125, 0.289794921875, 0.052703857421875, 0.84326171875, -0.572265625, -0.212890625, 0.09185791015625, -0.63818359375, -0.87109375, -0.043701171875, 0.454833984375, -0.038177490234375, 0.1893310546875, -0.7822265625, 0.025909423828125, 0.0010728836059570312, 0.232177734375, -0.442626953125, -1.060546875, -0.2027587890625, -0.98388671875, -0.458984375, -0.74267578125, -0.671875, -0.33544921875, -0.033172607421875, 0.439697265625, -0.537109375, -0.08148193359375, 0.6376953125, -0.59033203125, 1.0517578125, -0.859375, 0.420166015625, -0.73583984375, -0.5849609375, -0.7705078125, 0.22265625, -0.429931640625, -0.11578369140625, -1.0849609375, 0.2269287109375, -0.263427734375, 0.371826171875, -0.30126953125, 0.1878662109375, -0.466064453125, -0.61767578125, 0.127197265625, 0.2188720703125, -0.311767578125, 0.7880859375, 0.422119140625, -0.232177734375, 0.1895751953125, 0.0028781890869140625, -0.07452392578125, -0.8076171875, 0.57763671875, 0.64697265625, 0.06451416015625, 0.0003502368927001953, -0.07037353515625, 0.036224365234375, -0.88330078125, 0.34326171875, -0.338134765625, 0.0220794677734375, 0.431396484375, -0.57568359375, 0.62939453125, 1.0615234375, 0.046112060546875, 0.50146484375, 0.30419921875, 0.1019287109375, 0.0251617431640625, 0.0182037353515625, -0.1009521484375, 0.587890625, 0.302978515625, -0.2464599609375, 0.382080078125, 0.54931640625, -0.3134765625, 0.73779296875, -0.1409912109375, -0.697265625, -0.81591796875, 0.132568359375, 0.041656494140625, 0.34521484375, 0.61962890625, -0.892578125, -0.330322265625, -0.394775390625, -0.294677734375, 0.028533935546875, -1.3369140625, -0.96630859375, 0.425048828125, 0.015228271484375, -0.489990234375, -0.13232421875, -0.267333984375, -0.0435791015625, 0.07073974609375, 0.11041259765625, -0.5888671875, 0.3291015625, -0.60693359375, 0.311279296875, -0.432373046875, -0.134521484375, 0.2489013671875, 0.6376953125, -0.46630859375, -0.6806640625, 0.039398193359375, 1.2802734375, 0.13525390625, -0.1322021484375, -0.587890625, 0.1893310546875, 0.1260986328125, 0.401611328125, -0.262939453125, 0.266357421875, -0.1644287109375, 0.69873046875, -0.92333984375, 0.10955810546875, -0.4287109375, 0.60302734375, 0.1624755859375, -0.474609375, -0.470947265625, 0.69970703125, 0.783203125, 0.2161865234375, 0.75830078125, 0.2998046875, 0.763671875, -0.11383056640625, 0.072509765625, -0.346435546875, 0.7919921875, 0.38427734375, 0.8388671875, 0.0294189453125, 0.3291015625, 0.97021484375, -0.401123046875, -0.1102294921875, 0.0933837890625, -0.0163421630859375, 0.27001953125, 0.02197265625, 0.145263671875, -0.09991455078125, -0.171630859375, -0.63720703125, 0.5341796875, -0.64453125, -0.182373046875, -0.2366943359375, -0.444580078125, 0.9501953125, -0.65380859375, -0.30078125, 0.474853515625, -0.418701171875, 0.15576171875, 0.447509765625, -0.09539794921875, -0.0302734375, 0.91357421875, 0.3759765625, 0.72900390625, 0.783203125, 0.49951171875, 0.43505859375, -0.71142578125, 0.1015625, -0.0704345703125, 0.0045013427734375, -0.290771484375, -0.473388671875, -0.8720703125, 0.56787109375, -0.458251953125, -0.2548828125, 0.69921875, -0.5068359375, -0.0284423828125, -0.54296875, 0.65966796875, -0.320556640625, 0.390869140625, 0.358154296875, -0.278076171875, -0.5693359375, 0.9482421875, -0.037811279296875, 0.489013671875, 0.186767578125, 0.99609375, 0.043121337890625, 1.8251953125, 0.59814453125, -0.1180419921875, 0.09771728515625, 0.261474609375, -0.55078125, -0.396484375, -0.6669921875, -0.497802734375, 0.0050201416015625, -1.091796875, -0.3759765625, -0.22216796875, 1.0146484375, 0.317138671875, -1.115234375, -0.2244873046875, 0.578125, -0.97216796875, 0.08074951171875, 0.18017578125, 0.1900634765625, -0.039886474609375, 0.045013427734375, -0.2271728515625, -0.392333984375, 0.33447265625, -0.8388671875, 0.568359375, -0.9404296875, -0.2822265625, -0.64306640625, -0.95654296875, -0.37158203125, -0.1048583984375, -0.6435546875, -0.87646484375, 0.3662109375, -0.0182952880859375, 0.51220703125, 0.42529296875, -0.2403564453125, 0.1644287109375, 1.2255859375, 0.92529296875, 0.0224761962890625, 0.88720703125, 0.3798828125, -0.1512451171875, 0.37158203125, -0.03973388671875, 0.406005859375, -0.263427734375, 0.51953125, -0.18408203125, 0.333984375, -0.42529296875, -1.3681640625, 0.421630859375, 0.51220703125, 0.24267578125, -0.322998046875, -0.96875, -0.274169921875, -1.4658203125, -0.2403564453125, -0.55908203125, 0.79736328125, -0.141845703125, -0.09197998046875, -0.1473388671875, -1.13671875, 4.2109375, 1.0380859375, 0.425537109375, 0.34033203125, 0.43408203125, 0.63720703125, 0.609375, -0.53173828125, -0.373046875, -0.248779296875, 0.399658203125, -0.17333984375, 0.1014404296875, 0.88720703125, 0.465087890625, 0.448486328125, -0.62255859375, 0.1923828125, -0.0982666015625, -0.873046875, -0.81640625, 0.2392578125, 0.1668701171875, 0.54150390625, -0.01306915283203125, 0.09649658203125, 0.367919921875, -0.8955078125, -0.1572265625, -0.724609375, 0.63623046875, -0.7197265625, 0.9970703125, 0.1356201171875, -0.01293182373046875, 0.52587890625, 0.0078125, -0.37451171875, -0.1749267578125, 0.30908203125, -0.2763671875, 0.1943359375, 0.75634765625, -0.464111328125, -0.021026611328125, 0.347900390625, -0.58447265625, 0.61669921875, -0.06951904296875, -0.97607421875, 1.2265625, -0.061553955078125, 0.28955078125, -0.7353515625, -1.1064453125, 0.1199951171875, 0.2176513671875, -0.02459716796875, -0.2427978515625, 0.1551513671875, 0.517578125, 0.402099609375, 0.0821533203125, 0.52294921875, -1.0595703125, 0.80908203125, -0.10357666015625, 0.4599609375, -0.49755859375, 0.0577392578125, -0.1273193359375, -0.1356201171875, -0.2276611328125, -0.32275390625, 0.87158203125, -0.0626220703125, -0.62255859375, 0.437744140625, 0.427734375, -0.916015625, 0.4619140625, -0.2420654296875, -0.06658935546875, -0.1102294921875, 0.55810546875, 1.541015625, -1.21484375, -0.11578369140625, -0.166259765625, 0.724609375, 0.626953125, 0.6796875, -0.148193359375, -0.349853515625, -0.0972900390625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Piegirl is buying stickers for a project. Stickers come on sheets, and each sheet of stickers contains exactly n stickers. Each sticker has exactly one character printed on it, so a sheet of stickers can be described by a string of length n. Piegirl wants to create a string s using stickers. She may buy as many sheets of stickers as she wants, and may specify any string of length n for the sheets, but all the sheets must be identical, so the string is the same for all sheets. Once she attains the sheets of stickers, she will take some of the stickers from the sheets and arrange (in any order) them to form s. Determine the minimum number of sheets she has to buy, and provide a string describing a possible sheet of stickers she should buy. Input The first line contains string s (1 ≤ |s| ≤ 1000), consisting of lowercase English characters only. The second line contains an integer n (1 ≤ n ≤ 1000). Output On the first line, print the minimum number of sheets Piegirl has to buy. On the second line, print a string consisting of n lower case English characters. This string should describe a sheet of stickers that Piegirl can buy in order to minimize the number of sheets. If Piegirl cannot possibly form the string s, print instead a single line with the number -1. Examples Input banana 4 Output 2 baan Input banana 3 Output 3 nab Input banana 2 Output -1 Note In the second example, Piegirl can order 3 sheets of stickers with the characters "nab". She can take characters "nab" from the first sheet, "na" from the second, and "a" from the third, and arrange them to from "banana". Tags: binary search, constructive algorithms, greedy Correct Solution: ``` from math import ceil s = input () n = int (input ()) count = {} for i in s: if i in count: count[i] += 1 else: count[i] = 1 if len(count) > n: print (-1) else: if len(s) < n: print (1) ret = s else: l,h = len (s)//n, len (s) while (l < h): m = (l+h) // 2 tot = 0 for i in count: tot += ceil (count[i]/m) if tot > n: l = m+1 else: h = m print (l) ret = '' for i in count: for j in range (ceil (count[i]/l)): ret += i for i in range (n-len(ret)): ret += s[0] print (ret) ```
5,343
[ 0.062744140625, -0.03515625, -0.051788330078125, 0.281982421875, -0.5400390625, -0.9619140625, 0.1927490234375, 0.03875732421875, 0.21630859375, 0.4345703125, 0.5810546875, -0.0056915283203125, 0.1524658203125, -0.43896484375, -0.3828125, 0.218994140625, -0.52880859375, -0.494873046875, -0.328125, -0.291748046875, 0.1826171875, 0.111083984375, -1.7216796875, -0.41064453125, -0.63525390625, 0.9443359375, 0.763671875, 0.12371826171875, 0.96337890625, 1.009765625, -0.19482421875, -0.4560546875, 0.5380859375, -1.3173828125, -0.10882568359375, -0.291259765625, 0.50732421875, -0.53125, -0.185791015625, -0.300048828125, 0.60791015625, -0.295166015625, 0.6015625, -0.96875, -0.96435546875, 0.019439697265625, -0.452880859375, -0.4521484375, 0.0643310546875, -0.439453125, 0.45068359375, 0.00629425048828125, 0.51904296875, -0.361083984375, 0.00580596923828125, -0.047210693359375, 0.06744384765625, -0.414306640625, -0.85107421875, 0.07623291015625, 0.0823974609375, -0.1226806640625, 0.347900390625, -0.5517578125, -0.06988525390625, 0.292236328125, -0.27099609375, -0.232177734375, -0.24609375, -0.73779296875, -0.43994140625, 0.291259765625, -0.314453125, -0.59033203125, -0.2109375, 0.004302978515625, 0.2384033203125, 0.0765380859375, -0.78515625, 0.5986328125, 0.07000732421875, 1.197265625, 0.08392333984375, 0.351318359375, -0.5810546875, -0.685546875, -0.246337890625, 0.34765625, 0.10064697265625, -0.51220703125, -0.1649169921875, 0.63720703125, -0.8740234375, 0.08184814453125, 0.89013671875, 0.740234375, -0.314453125, 0.5419921875, 0.4482421875, 0.209716796875, 1.19921875, 1.1494140625, -0.71337890625, 1.109375, -0.54443359375, 0.15869140625, 0.0177001953125, 0.025238037109375, -0.369140625, -0.1893310546875, -0.21533203125, -0.401611328125, 0.66552734375, 0.30078125, -0.376220703125, 0.73681640625, 0.09112548828125, 0.423828125, -0.6630859375, 0.206298828125, 0.5888671875, 0.10955810546875, 0.308349609375, -0.3466796875, -0.07769775390625, -0.227294921875, -0.46337890625, 1.20703125, -0.68359375, -0.25732421875, 0.371826171875, -0.06793212890625, -0.040252685546875, 0.348388671875, 0.032623291015625, 0.880859375, -0.6083984375, 0.72802734375, 0.7333984375, -0.36328125, 0.736328125, -0.2486572265625, -0.294921875, 1.6669921875, 0.6396484375, -0.07275390625, 0.923828125, 0.10540771484375, -0.81494140625, 0.2423095703125, -0.85498046875, 0.5751953125, 0.1998291015625, 0.2034912109375, -0.05059814453125, 0.0341796875, -0.006664276123046875, 0.387939453125, 0.10650634765625, -0.11846923828125, -0.195068359375, 0.2288818359375, -0.01556396484375, 1.0888671875, -0.385986328125, 0.73388671875, -0.7099609375, -0.13330078125, -0.51123046875, -0.64501953125, 0.1280517578125, 0.1292724609375, -0.4423828125, 0.68359375, 0.50830078125, 0.82958984375, 1.318359375, -0.469970703125, 0.54052734375, 0.166748046875, -0.33935546875, 0.1798095703125, 0.46337890625, 0.8076171875, 0.2230224609375, 0.485595703125, -0.155029296875, -0.439697265625, -0.53125, -0.669921875, 0.26611328125, 0.50048828125, -0.63037109375, 0.339599609375, 0.245849609375, 0.1253662109375, -0.7080078125, -0.11285400390625, -0.0099639892578125, -1.1923828125, -0.37060546875, 0.2607421875, -0.143310546875, 0.037689208984375, -0.265625, -0.7080078125, 0.0185089111328125, 1.0673828125, -0.88818359375, -0.26611328125, 0.344482421875, -0.037872314453125, -0.28515625, 0.12005615234375, -0.044677734375, -0.282958984375, -0.42431640625, 1.033203125, -0.273193359375, -0.0119171142578125, 0.057891845703125, 0.8095703125, 0.10321044921875, 0.2396240234375, -0.45166015625, -0.32568359375, 0.399169921875, 1.220703125, -0.060516357421875, 0.576171875, 0.0188140869140625, 1.0869140625, 0.70703125, 0.837890625, 0.5, 0.513671875, 0.7763671875, 0.71484375, 0.405517578125, 0.486328125, 0.060821533203125, 0.61865234375, 0.333740234375, 0.2626953125, 0.1639404296875, 0.453857421875, 0.0518798828125, 0.185546875, -0.630859375, -0.0745849609375, -0.041748046875, 0.86767578125, 0.190673828125, 0.449462890625, -0.33984375, -0.68798828125, 0.0267333984375, 0.7099609375, -0.6435546875, -0.3994140625, 0.1312255859375, 0.2008056640625, 0.2578125, -0.16064453125, 0.36962890625, 0.3994140625, 0.342041015625, 0.52001953125, -0.490234375, -0.350341796875, -0.96337890625, -1.0615234375, -0.93115234375, -0.30126953125, -0.66943359375, 0.0845947265625, 0.409912109375, -1.080078125, 0.032012939453125, -0.03778076171875, 0.024444580078125, 0.2401123046875, -0.85498046875, 0.43017578125, 0.025421142578125, 0.5439453125, -0.75927734375, 0.6748046875, 0.3916015625, 1.03125, -0.8701171875, -0.0283355712890625, 0.08685302734375, -0.4814453125, 0.2314453125, -0.041656494140625, 0.37353515625, -0.211181640625, -0.6201171875, -0.8544921875, -0.373291015625, -0.403564453125, -0.151611328125, 0.30615234375, -0.33837890625, 0.806640625, 0.5439453125, -0.60986328125, 0.47021484375, 0.62744140625, -0.86328125, 0.4599609375, 0.489990234375, -0.286376953125, -0.8896484375, 1.1806640625, 0.2103271484375, 0.0013055801391601562, -0.71044921875, 0.0001856088638305664, -0.164306640625, 0.17333984375, 0.10919189453125, -0.261962890625, -0.1644287109375, 0.5849609375, 0.005596160888671875, -1.0849609375, 0.3671875, -1.306640625, -0.509765625, -0.265380859375, -0.296875, 0.83544921875, 0.9287109375, 0.0963134765625, 0.06219482421875, -0.264404296875, -0.1424560546875, 0.29052734375, 0.442626953125, -0.650390625, 0.319091796875, 0.7001953125, -0.3193359375, 0.1339111328125, 0.1959228515625, -0.282470703125, -0.1259765625, -0.054718017578125, 0.5712890625, 0.313232421875, 0.72998046875, 0.11871337890625, 0.48046875, 0.77197265625, -0.97412109375, -0.378662109375, -0.337646484375, 0.896484375, 0.336669921875, 0.60498046875, 0.398193359375, -0.404541015625, -0.728515625, -1.18359375, 0.60400390625, -0.056976318359375, 0.77734375, -0.70703125, 1.029296875, 0.33935546875, -0.174072265625, 0.340087890625, -0.51220703125, -0.448974609375, 1.1572265625, -0.410888671875, 0.919921875, -0.7646484375, -0.0019369125366210938, -0.0187530517578125, -0.031585693359375, 0.26416015625, 0.498291015625, 0.75390625, -0.186767578125, -0.662109375, -0.55810546875, -0.312255859375, -0.00994110107421875, -0.79931640625, -0.0281829833984375, -0.388427734375, -0.30419921875, -0.80615234375, 0.11944580078125, 0.87060546875, 0.66064453125, 0.0249176025390625, 0.50244140625, 0.06036376953125, 0.8056640625, 0.1409912109375, -0.27294921875, 0.0340576171875, -0.7314453125, 0.70556640625, 0.3818359375, 0.14306640625, -0.7451171875, -0.329833984375, -0.73388671875, 0.21875, 0.263427734375, -0.51806640625, -0.93115234375, 0.232177734375, -0.491943359375, 0.431396484375, -0.697265625, -0.56103515625, -0.205078125, 0.5029296875, 0.7216796875, -0.90234375, 0.03131103515625, -0.6962890625, 0.78515625, 0.457275390625, -0.433837890625, -0.625, -0.3525390625, -0.5302734375, -0.59423828125, -0.16845703125, 0.748046875, -0.302490234375, 0.59228515625, -1.2939453125, 0.53955078125, 0.4375, -0.525390625, 0.2318115234375, 0.36572265625, 0.470703125, -0.213134765625, 0.2744140625, -0.654296875, -0.68212890625, 0.309814453125, -1.3935546875, 0.6708984375, -0.486328125, 0.74462890625, 0.2315673828125, 0.05322265625, -0.066162109375, 0.4521484375, -0.61328125, -0.0297088623046875, 0.04681396484375, 0.2587890625, -0.67724609375, -0.3896484375, 0.716796875, 0.12115478515625, -0.61572265625, 1.0380859375, -0.296630859375, -0.5654296875, 0.2491455078125, 1.060546875, -0.8115234375, 0.49072265625, -0.257568359375, 0.69189453125, -0.22998046875, -0.431884765625, 0.0687255859375, -0.69677734375, 0.84130859375, 0.2266845703125, -1.0478515625, -0.07281494140625, -1.0791015625, -0.238037109375, -0.21875, -0.72119140625, 0.4296875, 0.175537109375, -0.413818359375, -0.2021484375, -0.17236328125, -0.187744140625, -0.311767578125, -0.457763671875, -0.298828125, 0.40966796875, 0.701171875, 0.5126953125, 0.15380859375, -0.59326171875, 0.4052734375, -0.38671875, 0.1812744140625, -0.5478515625, 0.1561279296875, -0.061431884765625, -0.486328125, -0.395751953125, 0.29345703125, -0.09710693359375, 0.1904296875, 1.1884765625, 0.3232421875, 0.004413604736328125, 0.55712890625, -0.74365234375, 0.99755859375, 0.090576171875, -0.99072265625, -0.92138671875, 0.436279296875, 0.25439453125, 0.62744140625, 0.396484375, -0.6591796875, -1.04296875, -0.96630859375, 0.0634765625, -0.5009765625, -0.2939453125, -1.03125, -0.1920166015625, -0.267333984375, 0.6279296875, -0.328369140625, -0.56103515625, 0.295654296875, -1.23828125, 0.09063720703125, -0.955078125, -0.179443359375, -0.63525390625, -0.677734375, -0.23583984375, 0.88330078125, 0.1265869140625, 0.407470703125, 0.326416015625, 0.042724609375, 0.365966796875, 0.133544921875, -0.2301025390625, -0.283935546875, -0.4326171875, 0.30126953125, -0.284423828125, 0.16650390625, -0.603515625, 1.1708984375, -1.0625, 0.2117919921875, 0.02838134765625, -0.259521484375, -0.17724609375, -0.309326171875, 1.22265625, -0.28125, -0.165771484375, -0.6875, 0.260986328125, 0.90625, -0.377197265625, -0.59912109375, -0.70458984375, -0.53662109375, -0.97119140625, 0.66796875, -0.1884765625, 0.1531982421875, -0.94921875, -0.1966552734375, 0.92138671875, -0.53271484375, 0.658203125, 1.326171875, 0.2025146484375, 0.1787109375, -0.276123046875, 0.2225341796875, 0.455810546875, -0.828125, 0.185791015625, 0.1065673828125, -0.5703125, 0.071533203125, -0.353515625, -1.2880859375, -1.01171875, 0.4892578125, 1.21875, -0.305908203125, 0.383056640625, -0.62158203125, -1.375, -0.59814453125, 1.02734375, -0.2264404296875, 0.355224609375, 1.033203125, 0.0020771026611328125, 0.06365966796875, 0.1695556640625, -0.13916015625, -0.283935546875, -0.35791015625, 1.080078125, -0.18994140625, -0.76953125, 1.017578125, 1.0478515625, -1.1845703125, -0.6591796875, -0.02197265625, -0.392333984375, -0.2232666015625, -0.6591796875, 0.0185089111328125, 0.64501953125, -0.85986328125, 0.447265625, 0.62841796875, -0.51123046875, 0.324951171875, 0.28857421875, 0.194580078125, -0.58935546875, 0.494873046875, 0.309326171875, -0.1475830078125, -0.203125, -0.63330078125, -0.37060546875, -0.2249755859375, -0.1611328125, 0.81494140625, -0.154296875, -0.06982421875, 0.320068359375, 0.0823974609375, 0.84130859375, -0.56494140625, -0.239501953125, 0.056304931640625, -0.54052734375, -0.8388671875, -0.0771484375, 0.4169921875, -0.0209808349609375, 0.171875, -0.75, 0.0253753662109375, 0.0377197265625, 0.263916015625, -0.46923828125, -1.0390625, -0.223388671875, -1.03125, -0.45751953125, -0.767578125, -0.6865234375, -0.34765625, -0.06842041015625, 0.46484375, -0.5537109375, -0.05828857421875, 0.60791015625, -0.56201171875, 0.99853515625, -0.80859375, 0.3720703125, -0.69482421875, -0.60791015625, -0.69140625, 0.255126953125, -0.41552734375, -0.1488037109375, -1.107421875, 0.2418212890625, -0.28857421875, 0.3671875, -0.269287109375, 0.241943359375, -0.426513671875, -0.65283203125, 0.07098388671875, 0.1517333984375, -0.22265625, 0.7294921875, 0.38916015625, -0.251953125, 0.171875, -0.031341552734375, -0.0921630859375, -0.80712890625, 0.59716796875, 0.6279296875, 0.0305938720703125, -0.0105743408203125, -0.033905029296875, 0.09832763671875, -0.86474609375, 0.342529296875, -0.29150390625, -0.009613037109375, 0.380615234375, -0.54150390625, 0.66650390625, 1.05078125, 0.03924560546875, 0.5361328125, 0.310791015625, 0.112060546875, 0.0299530029296875, 0.0086517333984375, -0.09063720703125, 0.5791015625, 0.292236328125, -0.272705078125, 0.27880859375, 0.58984375, -0.275390625, 0.80810546875, -0.1214599609375, -0.6318359375, -0.7685546875, 0.07464599609375, 0.0281524658203125, 0.3798828125, 0.60009765625, -0.81103515625, -0.31494140625, -0.3466796875, -0.1839599609375, 0.071044921875, -1.375, -0.919921875, 0.38720703125, 0.11505126953125, -0.484619140625, -0.1263427734375, -0.2275390625, -0.07452392578125, 0.07550048828125, 0.1624755859375, -0.63671875, 0.339599609375, -0.59228515625, 0.382080078125, -0.44580078125, -0.16943359375, 0.2666015625, 0.67578125, -0.5205078125, -0.77294921875, -0.004375457763671875, 1.2666015625, 0.165771484375, -0.08099365234375, -0.5302734375, 0.16796875, 0.146484375, 0.442138671875, -0.2213134765625, 0.3427734375, -0.22412109375, 0.71240234375, -0.9052734375, 0.034423828125, -0.4443359375, 0.68359375, 0.1910400390625, -0.515625, -0.480224609375, 0.736328125, 0.7275390625, 0.2119140625, 0.83935546875, 0.2320556640625, 0.8115234375, -0.09295654296875, 0.0889892578125, -0.34375, 0.7294921875, 0.337646484375, 0.80029296875, 0.0243377685546875, 0.37060546875, 1.0009765625, -0.474853515625, -0.0540771484375, 0.1527099609375, -0.041534423828125, 0.27734375, 0.045074462890625, 0.1473388671875, -0.053802490234375, -0.1533203125, -0.6142578125, 0.494384765625, -0.6650390625, -0.1368408203125, -0.1597900390625, -0.48583984375, 0.97900390625, -0.70947265625, -0.30908203125, 0.475830078125, -0.41943359375, 0.0791015625, 0.52197265625, -0.171875, -0.033477783203125, 0.95068359375, 0.36328125, 0.7021484375, 0.72998046875, 0.4658203125, 0.46923828125, -0.70751953125, 0.13623046875, -0.08453369140625, -0.0291290283203125, -0.260498046875, -0.441162109375, -0.8193359375, 0.53857421875, -0.460693359375, -0.32177734375, 0.79052734375, -0.50244140625, -0.1317138671875, -0.5361328125, 0.59423828125, -0.3154296875, 0.450439453125, 0.365478515625, -0.2454833984375, -0.51416015625, 0.98388671875, 0.0034351348876953125, 0.52685546875, 0.193359375, 0.96044921875, 0.01226043701171875, 1.8408203125, 0.6640625, -0.0748291015625, 0.09857177734375, 0.29443359375, -0.50341796875, -0.372802734375, -0.6298828125, -0.52392578125, -0.0738525390625, -1.140625, -0.3310546875, -0.256103515625, 1.0791015625, 0.30322265625, -1.1259765625, -0.2423095703125, 0.60595703125, -1.0048828125, 0.002079010009765625, 0.1829833984375, 0.1611328125, -0.018402099609375, 0.0718994140625, -0.3173828125, -0.349609375, 0.344482421875, -0.8330078125, 0.5615234375, -0.9169921875, -0.2083740234375, -0.67529296875, -1.0185546875, -0.415771484375, -0.14794921875, -0.6318359375, -0.822265625, 0.333740234375, 0.0167236328125, 0.58056640625, 0.443603515625, -0.199951171875, 0.1993408203125, 1.203125, 0.96728515625, 0.0202484130859375, 0.86328125, 0.39990234375, -0.130615234375, 0.346923828125, -0.05987548828125, 0.40625, -0.265380859375, 0.5126953125, -0.1358642578125, 0.359130859375, -0.439453125, -1.32421875, 0.4462890625, 0.490234375, 0.2281494140625, -0.307861328125, -0.92236328125, -0.220458984375, -1.39453125, -0.289794921875, -0.58447265625, 0.822265625, -0.1466064453125, -0.09503173828125, -0.1756591796875, -1.11328125, 4.19921875, 0.9892578125, 0.3876953125, 0.312255859375, 0.44189453125, 0.65087890625, 0.6220703125, -0.5517578125, -0.390869140625, -0.2418212890625, 0.419189453125, -0.14404296875, 0.09881591796875, 0.79052734375, 0.482666015625, 0.4453125, -0.64697265625, 0.226806640625, -0.13232421875, -0.9453125, -0.8466796875, 0.2763671875, 0.185546875, 0.58837890625, -0.1026611328125, 0.08856201171875, 0.330810546875, -0.919921875, -0.1444091796875, -0.7626953125, 0.65234375, -0.7705078125, 0.9853515625, 0.1536865234375, -0.01302337646484375, 0.55419921875, -0.00244140625, -0.363525390625, -0.1962890625, 0.31005859375, -0.2685546875, 0.1759033203125, 0.78076171875, -0.509765625, -0.07562255859375, 0.271240234375, -0.60498046875, 0.5341796875, -0.06890869140625, -0.986328125, 1.251953125, -0.06536865234375, 0.393798828125, -0.705078125, -1.2021484375, 0.070068359375, 0.2198486328125, -0.01534271240234375, -0.201904296875, 0.1363525390625, 0.52392578125, 0.457763671875, 0.0775146484375, 0.46044921875, -1.0146484375, 0.8115234375, -0.129150390625, 0.48583984375, -0.457763671875, 0.0198974609375, -0.113037109375, -0.08258056640625, -0.22509765625, -0.389892578125, 0.81689453125, -0.10211181640625, -0.646484375, 0.458251953125, 0.400390625, -0.94677734375, 0.483642578125, -0.2464599609375, -0.11260986328125, -0.0506591796875, 0.5400390625, 1.5263671875, -1.201171875, -0.1846923828125, -0.190185546875, 0.78466796875, 0.62939453125, 0.7294921875, -0.1973876953125, -0.364501953125, -0.118408203125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Piegirl is buying stickers for a project. Stickers come on sheets, and each sheet of stickers contains exactly n stickers. Each sticker has exactly one character printed on it, so a sheet of stickers can be described by a string of length n. Piegirl wants to create a string s using stickers. She may buy as many sheets of stickers as she wants, and may specify any string of length n for the sheets, but all the sheets must be identical, so the string is the same for all sheets. Once she attains the sheets of stickers, she will take some of the stickers from the sheets and arrange (in any order) them to form s. Determine the minimum number of sheets she has to buy, and provide a string describing a possible sheet of stickers she should buy. Input The first line contains string s (1 ≤ |s| ≤ 1000), consisting of lowercase English characters only. The second line contains an integer n (1 ≤ n ≤ 1000). Output On the first line, print the minimum number of sheets Piegirl has to buy. On the second line, print a string consisting of n lower case English characters. This string should describe a sheet of stickers that Piegirl can buy in order to minimize the number of sheets. If Piegirl cannot possibly form the string s, print instead a single line with the number -1. Examples Input banana 4 Output 2 baan Input banana 3 Output 3 nab Input banana 2 Output -1 Note In the second example, Piegirl can order 3 sheets of stickers with the characters "nab". She can take characters "nab" from the first sheet, "na" from the second, and "a" from the third, and arrange them to from "banana". Tags: binary search, constructive algorithms, greedy Correct Solution: ``` s = input() n = int(input()) symb_cnt = {} for c in s: symb_cnt[c] = symb_cnt[c] + 1 if c in symb_cnt else 1 for cnt in range(1, len(s) + 1): s1 = "" for c in symb_cnt: s1 += c * ((symb_cnt[c] + cnt - 1) // cnt) if len(s1) <= n: for i in range(n - len(s1)): s1 += 'a' print(cnt) print(s1) exit(0) print(-1) ```
5,344
[ 0.112060546875, 0.0328369140625, -0.048431396484375, 0.254638671875, -0.470703125, -0.9326171875, 0.19921875, -0.0777587890625, 0.281005859375, 0.41650390625, 0.65576171875, -0.015625, 0.10980224609375, -0.51953125, -0.45263671875, 0.29638671875, -0.450439453125, -0.53271484375, -0.36669921875, -0.294189453125, 0.317138671875, 0.041229248046875, -1.84765625, -0.389892578125, -0.658203125, 0.94970703125, 0.734375, 0.1412353515625, 1.001953125, 0.93896484375, -0.154052734375, -0.47412109375, 0.60400390625, -1.2998046875, -0.146484375, -0.2763671875, 0.39404296875, -0.50341796875, -0.1734619140625, -0.2392578125, 0.61181640625, -0.26171875, 0.6533203125, -0.95556640625, -0.9052734375, 0.03631591796875, -0.44287109375, -0.48193359375, 0.08209228515625, -0.53515625, 0.45654296875, 0.13427734375, 0.402099609375, -0.27880859375, 0.01004791259765625, -0.0175323486328125, 0.08428955078125, -0.439208984375, -0.92626953125, 0.1357421875, 0.16552734375, -0.0229034423828125, 0.296142578125, -0.59619140625, -0.1253662109375, 0.25927734375, -0.31982421875, -0.2265625, -0.2310791015625, -0.71435546875, -0.383544921875, 0.337646484375, -0.259521484375, -0.609375, -0.1468505859375, 0.0297088623046875, 0.320556640625, 0.07550048828125, -0.83203125, 0.58642578125, 0.03857421875, 1.216796875, 0.08184814453125, 0.2279052734375, -0.6220703125, -0.6962890625, -0.269775390625, 0.2401123046875, 0.059417724609375, -0.56982421875, -0.11053466796875, 0.63427734375, -0.75732421875, 0.1529541015625, 0.921875, 0.75341796875, -0.427734375, 0.55615234375, 0.485595703125, 0.17333984375, 1.2021484375, 1.1796875, -0.65087890625, 1.1484375, -0.471923828125, 0.0885009765625, 0.06884765625, -0.006557464599609375, -0.302001953125, -0.143798828125, -0.10870361328125, -0.322021484375, 0.6943359375, 0.2626953125, -0.362060546875, 0.73193359375, 0.107421875, 0.415771484375, -0.662109375, 0.2093505859375, 0.55322265625, 0.07684326171875, 0.332275390625, -0.279296875, -0.00841522216796875, -0.1756591796875, -0.483154296875, 1.197265625, -0.6689453125, -0.238525390625, 0.3759765625, -0.1453857421875, -0.0654296875, 0.306884765625, 0.0207977294921875, 0.912109375, -0.68896484375, 0.642578125, 0.6953125, -0.39013671875, 0.81591796875, -0.19384765625, -0.3134765625, 1.7265625, 0.72607421875, -0.057403564453125, 0.9560546875, 0.09027099609375, -0.76904296875, 0.3037109375, -0.8623046875, 0.54736328125, 0.1785888671875, 0.1947021484375, -0.085205078125, 0.035736083984375, -0.047332763671875, 0.38818359375, 0.085205078125, -0.09722900390625, -0.255615234375, 0.1790771484375, 0.0006275177001953125, 1.2265625, -0.4111328125, 0.81005859375, -0.69384765625, -0.1138916015625, -0.424560546875, -0.63330078125, 0.13427734375, 0.057586669921875, -0.412353515625, 0.65087890625, 0.47705078125, 0.822265625, 1.361328125, -0.419677734375, 0.54052734375, 0.168212890625, -0.27197265625, 0.169189453125, 0.5078125, 0.830078125, 0.305908203125, 0.480712890625, -0.1229248046875, -0.4169921875, -0.5390625, -0.74853515625, 0.316162109375, 0.46142578125, -0.65966796875, 0.27001953125, 0.251220703125, 0.0697021484375, -0.7626953125, -0.256591796875, 0.04443359375, -1.1328125, -0.295654296875, 0.28955078125, -0.1090087890625, 0.05706787109375, -0.318115234375, -0.62060546875, -0.0003571510314941406, 1.0810546875, -0.845703125, -0.1629638671875, 0.317138671875, -0.07891845703125, -0.333251953125, 0.099609375, -0.0241241455078125, -0.311767578125, -0.448974609375, 1.02734375, -0.2481689453125, -0.0126800537109375, 0.10040283203125, 0.8193359375, 0.1177978515625, 0.2100830078125, -0.394287109375, -0.254638671875, 0.353515625, 1.177734375, -0.005924224853515625, 0.56787109375, -0.023162841796875, 1.033203125, 0.73828125, 0.90283203125, 0.44091796875, 0.53369140625, 0.74658203125, 0.69189453125, 0.39599609375, 0.50244140625, -0.0160064697265625, 0.52294921875, 0.32861328125, 0.28076171875, 0.1541748046875, 0.52978515625, 0.150146484375, 0.175048828125, -0.6923828125, -0.156494140625, -0.06768798828125, 0.86962890625, 0.1517333984375, 0.418701171875, -0.322021484375, -0.6669921875, 0.058074951171875, 0.767578125, -0.7099609375, -0.40869140625, 0.1630859375, 0.1070556640625, 0.253173828125, -0.1802978515625, 0.390869140625, 0.41845703125, 0.3408203125, 0.51513671875, -0.453125, -0.386474609375, -0.98193359375, -0.90966796875, -1.0556640625, -0.31005859375, -0.69287109375, 0.0004019737243652344, 0.44873046875, -1.1015625, 0.01392364501953125, -0.055145263671875, 0.07830810546875, 0.08563232421875, -0.76806640625, 0.448974609375, 0.076171875, 0.5634765625, -0.77099609375, 0.75341796875, 0.339111328125, 1.0673828125, -0.7861328125, -0.0694580078125, 0.11700439453125, -0.58251953125, 0.146484375, 0.0026874542236328125, 0.328369140625, -0.283447265625, -0.572265625, -0.87353515625, -0.421875, -0.390869140625, -0.0914306640625, 0.370849609375, -0.416015625, 0.7490234375, 0.57958984375, -0.50390625, 0.47607421875, 0.701171875, -0.80859375, 0.3671875, 0.407470703125, -0.280517578125, -0.84375, 1.2060546875, 0.263671875, 0.039031982421875, -0.82470703125, -0.06903076171875, -0.2491455078125, 0.18896484375, 0.1700439453125, -0.34326171875, -0.2454833984375, 0.63232421875, 0.0162506103515625, -1.09765625, 0.30859375, -1.3017578125, -0.38427734375, -0.246826171875, -0.3193359375, 0.76318359375, 0.88916015625, 0.224365234375, 0.06024169921875, -0.317138671875, -0.26953125, 0.171875, 0.50244140625, -0.66943359375, 0.29541015625, 0.73974609375, -0.36767578125, 0.1693115234375, 0.1827392578125, -0.296630859375, -0.11865234375, -0.05615234375, 0.42431640625, 0.32861328125, 0.79150390625, 0.1612548828125, 0.59912109375, 0.78173828125, -0.94140625, -0.380859375, -0.34326171875, 0.853515625, 0.339599609375, 0.6669921875, 0.42919921875, -0.431396484375, -0.732421875, -1.10546875, 0.55615234375, -0.036041259765625, 0.8037109375, -0.64892578125, 0.978515625, 0.337890625, -0.2119140625, 0.3056640625, -0.525390625, -0.4697265625, 1.1171875, -0.38818359375, 0.94775390625, -0.77392578125, -0.063720703125, 0.066162109375, 0.006717681884765625, 0.30615234375, 0.548828125, 0.77685546875, -0.190185546875, -0.69140625, -0.5439453125, -0.375732421875, -0.0189666748046875, -0.76708984375, 0.061767578125, -0.318115234375, -0.359375, -0.7900390625, 0.07098388671875, 0.89794921875, 0.642578125, 0.08978271484375, 0.59130859375, 0.0205841064453125, 0.9638671875, 0.2509765625, -0.19677734375, 0.039825439453125, -0.7216796875, 0.61279296875, 0.439453125, 0.203125, -0.81884765625, -0.370849609375, -0.646484375, 0.314208984375, 0.22802734375, -0.61181640625, -0.9326171875, 0.2529296875, -0.54833984375, 0.4267578125, -0.74267578125, -0.53662109375, -0.28955078125, 0.443115234375, 0.67822265625, -0.9033203125, 0.08831787109375, -0.640625, 0.77978515625, 0.455322265625, -0.463623046875, -0.60888671875, -0.281005859375, -0.3310546875, -0.53759765625, -0.07391357421875, 0.62890625, -0.311279296875, 0.6376953125, -1.22265625, 0.59326171875, 0.360595703125, -0.48828125, 0.221435546875, 0.39892578125, 0.492919921875, -0.1619873046875, 0.178466796875, -0.65087890625, -0.705078125, 0.45458984375, -1.376953125, 0.67236328125, -0.4404296875, 0.75830078125, 0.231201171875, 0.055816650390625, -0.1724853515625, 0.349609375, -0.50390625, -0.032470703125, 0.0252227783203125, 0.28857421875, -0.76953125, -0.41748046875, 0.7783203125, 0.2135009765625, -0.59765625, 1.041015625, -0.25146484375, -0.5966796875, 0.35595703125, 1.0888671875, -0.8486328125, 0.464599609375, -0.373046875, 0.71044921875, -0.2017822265625, -0.395751953125, 0.011077880859375, -0.63720703125, 0.9423828125, 0.162353515625, -0.96533203125, -0.119384765625, -1.078125, -0.3076171875, -0.302978515625, -0.5791015625, 0.398193359375, 0.27587890625, -0.466064453125, -0.2489013671875, -0.060211181640625, -0.1781005859375, -0.360107421875, -0.5166015625, -0.253173828125, 0.42578125, 0.61767578125, 0.5888671875, 0.15576171875, -0.70751953125, 0.4130859375, -0.352294921875, 0.1737060546875, -0.54541015625, 0.0968017578125, -0.0222625732421875, -0.45849609375, -0.40966796875, 0.322021484375, -0.0665283203125, 0.1727294921875, 1.1826171875, 0.404052734375, 0.03619384765625, 0.46044921875, -0.73779296875, 0.974609375, 0.1666259765625, -0.90234375, -0.9814453125, 0.379638671875, 0.2086181640625, 0.64208984375, 0.401123046875, -0.71240234375, -1.0615234375, -0.95556640625, 0.095947265625, -0.5546875, -0.228271484375, -0.9873046875, -0.2249755859375, -0.293701171875, 0.568359375, -0.296630859375, -0.50439453125, 0.209716796875, -1.259765625, 0.09002685546875, -0.9912109375, -0.1817626953125, -0.7578125, -0.7060546875, -0.2998046875, 0.818359375, 0.110595703125, 0.3740234375, 0.369384765625, 0.09686279296875, 0.42138671875, 0.1494140625, -0.1719970703125, -0.2427978515625, -0.355224609375, 0.31884765625, -0.36669921875, 0.256103515625, -0.6328125, 1.1533203125, -0.9736328125, 0.213623046875, -0.01091766357421875, -0.278076171875, -0.20556640625, -0.304443359375, 1.189453125, -0.208984375, -0.1241455078125, -0.673828125, 0.294189453125, 0.92138671875, -0.3994140625, -0.63427734375, -0.69775390625, -0.541015625, -1.025390625, 0.576171875, -0.223876953125, 0.1741943359375, -0.814453125, -0.1885986328125, 0.83740234375, -0.61376953125, 0.662109375, 1.31640625, 0.22021484375, 0.1614990234375, -0.306640625, 0.324951171875, 0.46826171875, -0.771484375, 0.0836181640625, 0.12939453125, -0.5927734375, 0.056793212890625, -0.40380859375, -1.30078125, -0.95654296875, 0.393310546875, 1.171875, -0.326171875, 0.426025390625, -0.61767578125, -1.3486328125, -0.61279296875, 0.96533203125, -0.32666015625, 0.312255859375, 1.048828125, -0.028106689453125, 0.03729248046875, 0.04449462890625, -0.12432861328125, -0.293701171875, -0.417724609375, 1.138671875, -0.22119140625, -0.75439453125, 0.912109375, 1.08984375, -1.189453125, -0.6689453125, -0.08966064453125, -0.330322265625, -0.267822265625, -0.62255859375, 0.07525634765625, 0.5908203125, -0.865234375, 0.45068359375, 0.5869140625, -0.454345703125, 0.3935546875, 0.2225341796875, 0.1456298828125, -0.68603515625, 0.60693359375, 0.2354736328125, -0.05718994140625, -0.29443359375, -0.599609375, -0.328857421875, -0.209228515625, -0.23828125, 0.8095703125, -0.1610107421875, -0.1351318359375, 0.342529296875, 0.151611328125, 0.8310546875, -0.5458984375, -0.290283203125, 0.09527587890625, -0.4892578125, -0.888671875, -0.1337890625, 0.369873046875, -0.08544921875, 0.179931640625, -0.7236328125, 0.038482666015625, 0.02447509765625, 0.2186279296875, -0.51123046875, -1.125, -0.14794921875, -0.98876953125, -0.3662109375, -0.744140625, -0.69970703125, -0.3056640625, -0.0036773681640625, 0.40966796875, -0.5205078125, -0.0770263671875, 0.6708984375, -0.5771484375, 0.994140625, -0.8466796875, 0.337890625, -0.6943359375, -0.6142578125, -0.7724609375, 0.1865234375, -0.4384765625, -0.2421875, -1.1064453125, 0.271728515625, -0.2147216796875, 0.385498046875, -0.322509765625, 0.24853515625, -0.4970703125, -0.6875, -0.01873779296875, 0.1104736328125, -0.2880859375, 0.80810546875, 0.416259765625, -0.1827392578125, 0.1785888671875, -0.0584716796875, -0.05438232421875, -0.84814453125, 0.54833984375, 0.6181640625, 0.0853271484375, -0.002288818359375, -0.095947265625, 0.0885009765625, -0.85302734375, 0.260986328125, -0.332763671875, -0.053924560546875, 0.45458984375, -0.51953125, 0.64111328125, 1.0498046875, 0.00009459257125854492, 0.5693359375, 0.29833984375, 0.11602783203125, 0.046539306640625, 0.0251312255859375, -0.08966064453125, 0.57080078125, 0.287109375, -0.24609375, 0.227783203125, 0.7529296875, -0.2401123046875, 0.7666015625, -0.1533203125, -0.5263671875, -0.6806640625, 0.178955078125, 0.142578125, 0.34130859375, 0.59033203125, -0.83056640625, -0.281982421875, -0.24658203125, -0.1416015625, 0.02850341796875, -1.369140625, -0.97900390625, 0.43212890625, 0.13671875, -0.3896484375, -0.1300048828125, -0.1903076171875, -0.07110595703125, 0.01239776611328125, 0.10919189453125, -0.61279296875, 0.408447265625, -0.634765625, 0.40673828125, -0.4560546875, -0.28955078125, 0.29052734375, 0.681640625, -0.5849609375, -0.8212890625, 0.10498046875, 1.2470703125, 0.137451171875, -0.1236572265625, -0.49267578125, 0.1824951171875, 0.146728515625, 0.458251953125, -0.329345703125, 0.35009765625, -0.26318359375, 0.6796875, -0.92529296875, -0.06256103515625, -0.447509765625, 0.62744140625, 0.247802734375, -0.521484375, -0.5849609375, 0.70703125, 0.775390625, 0.163818359375, 0.8232421875, 0.224853515625, 0.81884765625, -0.1292724609375, 0.0638427734375, -0.377197265625, 0.70458984375, 0.26220703125, 0.82421875, -0.00803375244140625, 0.398681640625, 0.951171875, -0.488525390625, -0.2265625, 0.07086181640625, -0.0155487060546875, 0.307373046875, 0.047119140625, 0.1710205078125, -0.098876953125, -0.11187744140625, -0.59375, 0.55126953125, -0.67626953125, -0.272705078125, -0.2119140625, -0.45849609375, 0.9306640625, -0.72705078125, -0.245849609375, 0.59814453125, -0.389892578125, 0.08111572265625, 0.40625, -0.2279052734375, -0.084716796875, 0.92626953125, 0.33935546875, 0.771484375, 0.748046875, 0.45556640625, 0.421142578125, -0.6416015625, 0.11785888671875, 0.0159149169921875, -0.0119781494140625, -0.2423095703125, -0.486572265625, -0.8505859375, 0.65380859375, -0.498779296875, -0.465576171875, 0.78076171875, -0.481689453125, -0.0977783203125, -0.51708984375, 0.60693359375, -0.321044921875, 0.459228515625, 0.44677734375, -0.30322265625, -0.541015625, 0.94921875, -0.0460205078125, 0.5771484375, 0.2117919921875, 0.97119140625, 0.022491455078125, 1.8466796875, 0.68896484375, -0.0338134765625, 0.09283447265625, 0.273193359375, -0.5615234375, -0.394775390625, -0.5703125, -0.46240234375, -0.1378173828125, -1.1806640625, -0.335693359375, -0.24462890625, 1.005859375, 0.294921875, -0.99462890625, -0.287353515625, 0.587890625, -1.0263671875, 0.07366943359375, 0.146728515625, 0.152587890625, -0.10650634765625, 0.092529296875, -0.3515625, -0.35498046875, 0.384033203125, -0.8232421875, 0.5771484375, -0.970703125, -0.29638671875, -0.70361328125, -0.96142578125, -0.447998046875, -0.19775390625, -0.578125, -0.826171875, 0.3701171875, 0.060760498046875, 0.50537109375, 0.46923828125, -0.203369140625, 0.214599609375, 1.1591796875, 0.982421875, -0.052398681640625, 0.8916015625, 0.36181640625, -0.06280517578125, 0.348388671875, -0.054412841796875, 0.353271484375, -0.325439453125, 0.54736328125, -0.1641845703125, 0.367431640625, -0.384521484375, -1.2998046875, 0.44580078125, 0.465576171875, 0.206298828125, -0.33984375, -0.8828125, -0.1873779296875, -1.4775390625, -0.298583984375, -0.587890625, 0.828125, -0.298095703125, -0.039337158203125, -0.171142578125, -1.177734375, 4.19140625, 1.0068359375, 0.31982421875, 0.306884765625, 0.419921875, 0.71435546875, 0.55859375, -0.52294921875, -0.431396484375, -0.1715087890625, 0.4130859375, -0.159912109375, 0.066650390625, 0.830078125, 0.4169921875, 0.41015625, -0.70068359375, 0.23388671875, -0.032867431640625, -0.8974609375, -0.86083984375, 0.311767578125, 0.1446533203125, 0.5380859375, -0.05145263671875, 0.1806640625, 0.328857421875, -0.80322265625, -0.098388671875, -0.67333984375, 0.61669921875, -0.794921875, 1.0185546875, 0.256591796875, -0.0142974853515625, 0.52880859375, 0.056610107421875, -0.340576171875, -0.190185546875, 0.318603515625, -0.2479248046875, 0.14111328125, 0.771484375, -0.61669921875, -0.1258544921875, 0.294189453125, -0.495849609375, 0.48876953125, -0.01488494873046875, -1.013671875, 1.345703125, -0.03997802734375, 0.311767578125, -0.7939453125, -1.0869140625, 0.0855712890625, 0.2325439453125, 0.0016241073608398438, -0.1795654296875, 0.1260986328125, 0.468994140625, 0.50390625, 0.09197998046875, 0.456298828125, -0.9853515625, 0.8701171875, -0.140869140625, 0.50830078125, -0.474609375, 0.0161285400390625, -0.132568359375, -0.1055908203125, -0.2412109375, -0.44482421875, 0.90966796875, -0.1270751953125, -0.58251953125, 0.428466796875, 0.432861328125, -0.939453125, 0.34033203125, -0.30810546875, -0.1483154296875, -0.0718994140625, 0.6220703125, 1.5205078125, -1.1611328125, -0.199462890625, -0.2342529296875, 0.81298828125, 0.60400390625, 0.7548828125, -0.235107421875, -0.2607421875, -0.08782958984375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Piegirl is buying stickers for a project. Stickers come on sheets, and each sheet of stickers contains exactly n stickers. Each sticker has exactly one character printed on it, so a sheet of stickers can be described by a string of length n. Piegirl wants to create a string s using stickers. She may buy as many sheets of stickers as she wants, and may specify any string of length n for the sheets, but all the sheets must be identical, so the string is the same for all sheets. Once she attains the sheets of stickers, she will take some of the stickers from the sheets and arrange (in any order) them to form s. Determine the minimum number of sheets she has to buy, and provide a string describing a possible sheet of stickers she should buy. Input The first line contains string s (1 ≤ |s| ≤ 1000), consisting of lowercase English characters only. The second line contains an integer n (1 ≤ n ≤ 1000). Output On the first line, print the minimum number of sheets Piegirl has to buy. On the second line, print a string consisting of n lower case English characters. This string should describe a sheet of stickers that Piegirl can buy in order to minimize the number of sheets. If Piegirl cannot possibly form the string s, print instead a single line with the number -1. Examples Input banana 4 Output 2 baan Input banana 3 Output 3 nab Input banana 2 Output -1 Note In the second example, Piegirl can order 3 sheets of stickers with the characters "nab". She can take characters "nab" from the first sheet, "na" from the second, and "a" from the third, and arrange them to from "banana". Tags: binary search, constructive algorithms, greedy Correct Solution: ``` from collections import Counter def main(): s = input() l = int(input()) d = Counter(s) if len(d) > l: print(-1) return lo = 0 hi = 10000 while lo + 1 < hi: mid = (lo + hi) // 2 c = 0 for x in iter(d.values()): c += (x + mid - 1) // mid if c > l: lo = mid else: hi = mid print(hi) ans = [] for x in iter(d.items()): ans.append(x[0] * int(((x[1] + hi - 1) / hi))) t = ''.join(ans) if len(t) < l: t += 'a' * (l - len(t)) print(t) main() ```
5,345
[ 0.0831298828125, -0.03509521484375, -0.07196044921875, 0.2275390625, -0.525390625, -0.98876953125, 0.1986083984375, -0.061553955078125, 0.240478515625, 0.419921875, 0.53369140625, -0.011932373046875, 0.20068359375, -0.4951171875, -0.425537109375, 0.248779296875, -0.53076171875, -0.492919921875, -0.40576171875, -0.1961669921875, 0.17578125, 0.1046142578125, -1.7607421875, -0.359619140625, -0.6513671875, 1.0009765625, 0.76611328125, 0.1219482421875, 1.0263671875, 1.013671875, -0.1593017578125, -0.43896484375, 0.57763671875, -1.3017578125, -0.10650634765625, -0.34619140625, 0.495361328125, -0.46240234375, -0.1549072265625, -0.314697265625, 0.6240234375, -0.32177734375, 0.63330078125, -0.94384765625, -0.98046875, 0.01389312744140625, -0.405029296875, -0.490478515625, 0.07867431640625, -0.470947265625, 0.379150390625, 0.066650390625, 0.453369140625, -0.305419921875, 0.06231689453125, -0.0121612548828125, 0.0841064453125, -0.3935546875, -0.830078125, 0.0439453125, 0.129150390625, -0.04974365234375, 0.3330078125, -0.6328125, -0.1279296875, 0.26611328125, -0.2734375, -0.26953125, -0.260498046875, -0.7548828125, -0.472900390625, 0.310791015625, -0.308837890625, -0.62744140625, -0.2352294921875, 0.01274871826171875, 0.295654296875, 0.07208251953125, -0.84033203125, 0.57470703125, 0.05487060546875, 1.154296875, 0.08526611328125, 0.2705078125, -0.6044921875, -0.70263671875, -0.205322265625, 0.25830078125, 0.06915283203125, -0.51904296875, -0.1273193359375, 0.5986328125, -0.79638671875, 0.155517578125, 0.9892578125, 0.76513671875, -0.36083984375, 0.57861328125, 0.52392578125, 0.1629638671875, 1.1591796875, 1.169921875, -0.6591796875, 1.1357421875, -0.47705078125, 0.14990234375, 0.0771484375, 0.0279083251953125, -0.404541015625, -0.187744140625, -0.200927734375, -0.364013671875, 0.66015625, 0.278076171875, -0.4033203125, 0.8017578125, 0.025634765625, 0.388916015625, -0.640625, 0.2047119140625, 0.630859375, 0.118896484375, 0.3388671875, -0.31640625, 0.00878143310546875, -0.2275390625, -0.466552734375, 1.1748046875, -0.74267578125, -0.255126953125, 0.393310546875, -0.11663818359375, 0.00910186767578125, 0.345947265625, -0.0023899078369140625, 0.89794921875, -0.62841796875, 0.646484375, 0.72705078125, -0.388671875, 0.67626953125, -0.2607421875, -0.36279296875, 1.708984375, 0.57763671875, -0.04150390625, 0.86376953125, 0.1043701171875, -0.84619140625, 0.238525390625, -0.86083984375, 0.5517578125, 0.2109375, 0.134765625, -0.091796875, 0.04571533203125, -0.0265655517578125, 0.386962890625, 0.1134033203125, -0.1849365234375, -0.25146484375, 0.19287109375, -0.037567138671875, 1.1162109375, -0.36767578125, 0.80029296875, -0.69677734375, -0.11029052734375, -0.445556640625, -0.65625, 0.0882568359375, 0.10064697265625, -0.44482421875, 0.68603515625, 0.54833984375, 0.8408203125, 1.3046875, -0.410400390625, 0.56005859375, 0.12060546875, -0.257568359375, 0.14208984375, 0.418701171875, 0.7646484375, 0.1800537109375, 0.454345703125, -0.046173095703125, -0.4775390625, -0.5380859375, -0.71044921875, 0.2744140625, 0.483154296875, -0.67529296875, 0.28515625, 0.3447265625, 0.143310546875, -0.693359375, -0.0953369140625, -0.004665374755859375, -1.1669921875, -0.340576171875, 0.27783203125, -0.10650634765625, 0.1302490234375, -0.226318359375, -0.63671875, 0.03509521484375, 1.0703125, -0.91650390625, -0.300048828125, 0.3310546875, -0.0421142578125, -0.22021484375, 0.2291259765625, -0.07647705078125, -0.305419921875, -0.448974609375, 1.06640625, -0.278564453125, 0.048583984375, 0.06939697265625, 0.791015625, 0.12109375, 0.25, -0.383056640625, -0.2259521484375, 0.402099609375, 1.0927734375, 0.02325439453125, 0.6005859375, -0.054046630859375, 1.02734375, 0.712890625, 0.9072265625, 0.455810546875, 0.53515625, 0.7626953125, 0.73681640625, 0.439453125, 0.435302734375, -0.0265655517578125, 0.56787109375, 0.277587890625, 0.2177734375, 0.1380615234375, 0.481689453125, 0.094482421875, 0.16796875, -0.66162109375, -0.049560546875, -0.0845947265625, 0.85888671875, 0.1256103515625, 0.451416015625, -0.29345703125, -0.7197265625, 0.031829833984375, 0.7421875, -0.70458984375, -0.4140625, 0.17626953125, 0.1768798828125, 0.307373046875, -0.19677734375, 0.381103515625, 0.428466796875, 0.352294921875, 0.59765625, -0.451904296875, -0.450439453125, -0.9287109375, -0.9912109375, -0.8955078125, -0.29931640625, -0.658203125, 0.046295166015625, 0.49169921875, -1.0615234375, -0.0009274482727050781, -0.04193115234375, 0.053466796875, 0.1697998046875, -0.765625, 0.45654296875, 0.01169586181640625, 0.5419921875, -0.74072265625, 0.6748046875, 0.379150390625, 1.0419921875, -0.775390625, -0.050628662109375, 0.10479736328125, -0.493896484375, 0.23974609375, 0.0582275390625, 0.317138671875, -0.2252197265625, -0.58544921875, -0.8193359375, -0.489013671875, -0.45556640625, -0.1068115234375, 0.2578125, -0.4033203125, 0.7763671875, 0.57861328125, -0.57568359375, 0.5380859375, 0.69873046875, -0.8779296875, 0.4658203125, 0.435791015625, -0.28369140625, -0.80810546875, 1.15625, 0.250244140625, 0.06964111328125, -0.73828125, 0.05474853515625, -0.1788330078125, 0.1700439453125, 0.1361083984375, -0.310791015625, -0.2052001953125, 0.61376953125, -0.03643798828125, -1.078125, 0.360107421875, -1.294921875, -0.4892578125, -0.25146484375, -0.294677734375, 0.78955078125, 0.888671875, 0.09051513671875, 0.0743408203125, -0.2469482421875, -0.159912109375, 0.2288818359375, 0.413330078125, -0.61669921875, 0.350830078125, 0.72802734375, -0.359375, 0.1580810546875, 0.1680908203125, -0.27099609375, -0.1116943359375, -0.0333251953125, 0.51953125, 0.35693359375, 0.75048828125, 0.208251953125, 0.51171875, 0.7451171875, -0.98291015625, -0.345947265625, -0.274169921875, 0.921875, 0.294677734375, 0.63134765625, 0.354248046875, -0.421630859375, -0.7470703125, -1.1689453125, 0.5458984375, -0.0712890625, 0.79833984375, -0.7119140625, 1.037109375, 0.342041015625, -0.179443359375, 0.363525390625, -0.52783203125, -0.466796875, 1.1552734375, -0.37939453125, 0.94873046875, -0.7734375, 0.0218963623046875, -0.02587890625, -0.0552978515625, 0.304443359375, 0.5224609375, 0.732421875, -0.19189453125, -0.63134765625, -0.53515625, -0.200927734375, -0.0154266357421875, -0.6708984375, 0.006832122802734375, -0.417724609375, -0.28955078125, -0.83056640625, 0.1763916015625, 0.88818359375, 0.61181640625, -0.0095062255859375, 0.466064453125, -0.033355712890625, 0.830078125, 0.213623046875, -0.2205810546875, 0.034393310546875, -0.75, 0.59716796875, 0.36328125, 0.150634765625, -0.7646484375, -0.369873046875, -0.8212890625, 0.29296875, 0.26318359375, -0.492431640625, -0.90380859375, 0.279296875, -0.442626953125, 0.393310546875, -0.66845703125, -0.52783203125, -0.2232666015625, 0.5048828125, 0.67626953125, -0.9111328125, 0.0283966064453125, -0.64208984375, 0.763671875, 0.47021484375, -0.393798828125, -0.62109375, -0.2998046875, -0.54443359375, -0.58935546875, -0.1484375, 0.72802734375, -0.236572265625, 0.654296875, -1.2919921875, 0.53857421875, 0.40771484375, -0.50830078125, 0.199951171875, 0.34130859375, 0.403564453125, -0.172607421875, 0.271240234375, -0.6474609375, -0.6494140625, 0.34716796875, -1.4990234375, 0.6474609375, -0.463134765625, 0.73583984375, 0.2332763671875, 0.0292510986328125, -0.1279296875, 0.462890625, -0.6083984375, -0.01023101806640625, 0.070068359375, 0.336669921875, -0.75, -0.399169921875, 0.6845703125, 0.1953125, -0.62890625, 0.99609375, -0.224853515625, -0.6494140625, 0.304931640625, 1.0712890625, -0.8720703125, 0.5595703125, -0.27490234375, 0.7099609375, -0.2484130859375, -0.400146484375, 0.09979248046875, -0.66748046875, 0.84375, 0.25634765625, -0.9931640625, -0.1278076171875, -1.0537109375, -0.2152099609375, -0.2366943359375, -0.66748046875, 0.438720703125, 0.2169189453125, -0.399169921875, -0.24609375, -0.1708984375, -0.1468505859375, -0.294921875, -0.48193359375, -0.275146484375, 0.45263671875, 0.69482421875, 0.470458984375, 0.14697265625, -0.6259765625, 0.387939453125, -0.417236328125, 0.14306640625, -0.591796875, 0.1507568359375, -0.021484375, -0.45947265625, -0.38525390625, 0.304931640625, -0.061279296875, 0.1903076171875, 1.1806640625, 0.378662109375, 0.08544921875, 0.5751953125, -0.7529296875, 0.9814453125, 0.0704345703125, -0.93896484375, -0.94384765625, 0.49853515625, 0.185791015625, 0.634765625, 0.404296875, -0.6513671875, -1.0625, -0.998046875, 0.037445068359375, -0.49951171875, -0.252197265625, -1.02734375, -0.22412109375, -0.269287109375, 0.6005859375, -0.27880859375, -0.5537109375, 0.294921875, -1.23046875, 0.11334228515625, -0.9287109375, -0.140869140625, -0.623046875, -0.6552734375, -0.286865234375, 0.8447265625, 0.0762939453125, 0.36474609375, 0.31005859375, 0.10504150390625, 0.37451171875, 0.1932373046875, -0.2607421875, -0.2493896484375, -0.365234375, 0.2362060546875, -0.322265625, 0.174560546875, -0.68115234375, 1.173828125, -1.0498046875, 0.1561279296875, -0.02130126953125, -0.311279296875, -0.23486328125, -0.3896484375, 1.1943359375, -0.2373046875, -0.0833740234375, -0.64892578125, 0.283203125, 0.8173828125, -0.356689453125, -0.56494140625, -0.73876953125, -0.55517578125, -0.98681640625, 0.64013671875, -0.2061767578125, 0.183837890625, -0.900390625, -0.190185546875, 0.953125, -0.54833984375, 0.65576171875, 1.3427734375, 0.202392578125, 0.12939453125, -0.266845703125, 0.282470703125, 0.421142578125, -0.75439453125, 0.1312255859375, 0.103759765625, -0.59423828125, 0.078125, -0.39306640625, -1.3193359375, -0.98388671875, 0.38818359375, 1.2294921875, -0.355224609375, 0.37841796875, -0.619140625, -1.318359375, -0.61181640625, 1.009765625, -0.25390625, 0.283935546875, 1.0439453125, -0.045379638671875, 0.04925537109375, 0.07012939453125, -0.1160888671875, -0.312255859375, -0.3916015625, 1.10546875, -0.255615234375, -0.78662109375, 1.0556640625, 1.0732421875, -1.216796875, -0.642578125, -0.07293701171875, -0.35107421875, -0.26708984375, -0.65576171875, -0.039581298828125, 0.56201171875, -0.87109375, 0.44921875, 0.6416015625, -0.419921875, 0.310791015625, 0.21923828125, 0.162841796875, -0.64013671875, 0.470703125, 0.230224609375, -0.1929931640625, -0.2496337890625, -0.59521484375, -0.293701171875, -0.221923828125, -0.182373046875, 0.81884765625, -0.2095947265625, -0.108154296875, 0.322021484375, 0.07366943359375, 0.74951171875, -0.57421875, -0.31396484375, 0.08367919921875, -0.541015625, -0.8759765625, -0.1689453125, 0.345703125, -0.08831787109375, 0.2435302734375, -0.68359375, 0.0166473388671875, 0.03619384765625, 0.216064453125, -0.462890625, -1.0986328125, -0.1873779296875, -1.109375, -0.447509765625, -0.7822265625, -0.73193359375, -0.294677734375, -0.080078125, 0.433349609375, -0.6083984375, -0.043548583984375, 0.61767578125, -0.61328125, 0.99560546875, -0.82763671875, 0.35693359375, -0.71142578125, -0.62353515625, -0.7666015625, 0.276123046875, -0.3671875, -0.14453125, -1.083984375, 0.259765625, -0.25048828125, 0.417724609375, -0.309814453125, 0.2349853515625, -0.390625, -0.65576171875, 0.0650634765625, 0.06707763671875, -0.211181640625, 0.73583984375, 0.392578125, -0.197265625, 0.2156982421875, 0.045989990234375, -0.11346435546875, -0.81884765625, 0.5595703125, 0.55908203125, 0.0254058837890625, 0.003704071044921875, -0.0810546875, 0.10614013671875, -0.84130859375, 0.337158203125, -0.296142578125, 0.0096282958984375, 0.364013671875, -0.53759765625, 0.6455078125, 1.091796875, -0.019866943359375, 0.58154296875, 0.279296875, 0.11602783203125, 0.01123809814453125, 0.058990478515625, -0.0914306640625, 0.59033203125, 0.281494140625, -0.2406005859375, 0.2529296875, 0.6220703125, -0.291015625, 0.77294921875, -0.160888671875, -0.60546875, -0.74609375, 0.13232421875, 0.06597900390625, 0.376220703125, 0.564453125, -0.82421875, -0.293212890625, -0.3486328125, -0.210205078125, 0.0219879150390625, -1.447265625, -0.97216796875, 0.433349609375, 0.1688232421875, -0.37451171875, -0.1553955078125, -0.2076416015625, -0.056793212890625, 0.07513427734375, 0.11083984375, -0.71484375, 0.351806640625, -0.5556640625, 0.446533203125, -0.39794921875, -0.245361328125, 0.297119140625, 0.69189453125, -0.51318359375, -0.81298828125, -0.0087738037109375, 1.294921875, 0.131103515625, -0.07135009765625, -0.4814453125, 0.1851806640625, 0.11029052734375, 0.4609375, -0.18896484375, 0.332275390625, -0.2431640625, 0.74072265625, -0.96044921875, 0.021392822265625, -0.42041015625, 0.65087890625, 0.256591796875, -0.495361328125, -0.50634765625, 0.771484375, 0.74365234375, 0.1715087890625, 0.8515625, 0.23583984375, 0.798828125, -0.11053466796875, 0.0889892578125, -0.3505859375, 0.78369140625, 0.271240234375, 0.88720703125, 0.044708251953125, 0.393798828125, 0.9638671875, -0.435546875, -0.030487060546875, 0.08404541015625, -0.00281524658203125, 0.234375, 0.059661865234375, 0.113037109375, -0.12548828125, -0.1986083984375, -0.56103515625, 0.529296875, -0.70166015625, -0.1375732421875, -0.240966796875, -0.4970703125, 0.92431640625, -0.61865234375, -0.303466796875, 0.496337890625, -0.438720703125, 0.09381103515625, 0.491943359375, -0.2091064453125, -0.04217529296875, 0.90576171875, 0.39453125, 0.70849609375, 0.716796875, 0.5166015625, 0.452392578125, -0.73388671875, 0.10321044921875, -0.0179901123046875, -0.016998291015625, -0.221435546875, -0.458251953125, -0.783203125, 0.54541015625, -0.50732421875, -0.3818359375, 0.783203125, -0.485107421875, -0.1326904296875, -0.58544921875, 0.61669921875, -0.30517578125, 0.426513671875, 0.40625, -0.2177734375, -0.5048828125, 0.91943359375, -0.08599853515625, 0.5576171875, 0.172119140625, 1.029296875, 0.021026611328125, 1.8310546875, 0.64892578125, -0.0911865234375, 0.137939453125, 0.23681640625, -0.5205078125, -0.399169921875, -0.57177734375, -0.51123046875, -0.110107421875, -1.103515625, -0.37744140625, -0.227783203125, 1.0849609375, 0.318603515625, -1.0859375, -0.33251953125, 0.583984375, -0.998046875, 0.06475830078125, 0.181884765625, 0.11566162109375, -0.1446533203125, 0.10321044921875, -0.325439453125, -0.260498046875, 0.393310546875, -0.79150390625, 0.56884765625, -0.9326171875, -0.265380859375, -0.68994140625, -1.0439453125, -0.497314453125, -0.1185302734375, -0.63525390625, -0.86865234375, 0.3916015625, 0.03594970703125, 0.541015625, 0.3984375, -0.2135009765625, 0.2200927734375, 1.1796875, 0.98974609375, 0.0014095306396484375, 0.82373046875, 0.397216796875, -0.10711669921875, 0.3671875, -0.11041259765625, 0.382080078125, -0.297607421875, 0.493896484375, -0.13525390625, 0.365234375, -0.415771484375, -1.3544921875, 0.41259765625, 0.455322265625, 0.21923828125, -0.350830078125, -0.91162109375, -0.2347412109375, -1.376953125, -0.255126953125, -0.58935546875, 0.8623046875, -0.1944580078125, -0.0230865478515625, -0.15966796875, -1.12890625, 4.20703125, 1.0146484375, 0.3154296875, 0.360107421875, 0.4072265625, 0.71923828125, 0.634765625, -0.5546875, -0.400146484375, -0.2052001953125, 0.44384765625, -0.1856689453125, 0.10296630859375, 0.796875, 0.4814453125, 0.447998046875, -0.59423828125, 0.288818359375, -0.07696533203125, -0.93505859375, -0.8349609375, 0.290771484375, 0.2293701171875, 0.5400390625, -0.0867919921875, 0.099853515625, 0.328125, -0.8876953125, -0.1484375, -0.74072265625, 0.64208984375, -0.77294921875, 0.98291015625, 0.1968994140625, -0.03570556640625, 0.5693359375, -0.00868988037109375, -0.35986328125, -0.1893310546875, 0.368408203125, -0.271240234375, 0.1142578125, 0.74169921875, -0.50537109375, -0.0994873046875, 0.29638671875, -0.525390625, 0.50048828125, -0.0127716064453125, -1.0087890625, 1.2841796875, -0.036346435546875, 0.380126953125, -0.6982421875, -1.1513671875, 0.026336669921875, 0.311279296875, -0.0229949951171875, -0.16796875, 0.1761474609375, 0.478759765625, 0.49951171875, 0.170654296875, 0.50048828125, -1.01171875, 0.84375, -0.144287109375, 0.463623046875, -0.42431640625, -0.00319671630859375, -0.08453369140625, -0.08343505859375, -0.236083984375, -0.437255859375, 0.81689453125, -0.07635498046875, -0.642578125, 0.44677734375, 0.43505859375, -0.958984375, 0.408935546875, -0.256103515625, -0.12469482421875, -0.0389404296875, 0.55224609375, 1.53125, -1.158203125, -0.1549072265625, -0.220458984375, 0.822265625, 0.63134765625, 0.7294921875, -0.2445068359375, -0.3056640625, -0.0251617431640625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Tags: dp, implementation, strings Correct Solution: ``` s = input() possible = [[],[],[False]*10100, [False]*10100] length = len(s) possible[2][length-2] = True possible[3][length-3] = True for i in range(length-1, 5-1,-1): if length - 4 >= i: possible[2][i] = (possible[2][i+2] and s[i:i+2] != s[i+2:i+4]) or possible[3][i+2] if length - 5 >= i: possible[3][i] = possible[2][i+3] if length - 6 >= i: possible[3][i] = (possible[3][i + 3] and s[i:i+3] != s[i+3:i+6]) or possible[3][i] output = set() for i in range(5,10000): if possible[2][i]: output.add(s[i:i + 2]) if possible[3][i]: output.add(s[i:i + 3]) output_list = sorted(list(output)) print(len(output_list)) for o in output_list: print(o) ```
5,462
[ 0.227294921875, 0.056671142578125, 0.1826171875, 0.11505126953125, -0.0236358642578125, -0.11614990234375, 0.08642578125, -0.29931640625, 0.319091796875, 0.63720703125, 1.2587890625, -0.47509765625, 0.265869140625, -1.0751953125, -0.673828125, -0.2822265625, -0.47705078125, -0.775390625, -0.6708984375, 0.0219268798828125, 0.06787109375, -0.25537109375, -1.3291015625, 0.02227783203125, -0.2230224609375, 1.015625, 0.59814453125, -0.136474609375, 1.1171875, 0.9189453125, -0.43359375, -0.57568359375, 0.76416015625, -1.1826171875, -0.5048828125, -0.146240234375, 0.427978515625, -0.90380859375, 0.01690673828125, -0.459228515625, 0.272216796875, -0.806640625, 0.4072265625, -0.564453125, -0.837890625, 0.302734375, -0.29736328125, -0.453125, -0.11712646484375, -0.79248046875, 0.32470703125, -0.02020263671875, 0.55810546875, -0.0986328125, 0.0513916015625, -0.1461181640625, 0.1239013671875, -0.346923828125, -0.63525390625, 0.55029296875, 0.2117919921875, 0.490234375, 0.279052734375, -0.5595703125, -0.0745849609375, 0.27001953125, -0.0679931640625, -0.08477783203125, 0.232177734375, -0.7578125, -0.1593017578125, 0.141357421875, -0.2017822265625, -0.46875, -0.421875, -0.06402587890625, 0.49462890625, -0.21044921875, -0.51904296875, 0.658203125, 0.25, 1.1337890625, 0.52197265625, 0.09918212890625, -0.1861572265625, -0.572265625, -0.174560546875, 0.4755859375, 0.544921875, 0.159912109375, -0.325927734375, 0.64453125, -0.99609375, -0.047088623046875, 0.92529296875, 0.338134765625, -0.60791015625, 0.48193359375, 0.247314453125, 0.501953125, 1.0517578125, 0.93994140625, -0.33935546875, 0.9599609375, -0.6689453125, 0.01042938232421875, 0.053619384765625, -0.1153564453125, 0.05145263671875, -0.1904296875, -0.1258544921875, -0.01849365234375, 0.477294921875, 0.26123046875, -0.54638671875, 1.130859375, -0.39404296875, 0.41357421875, -1.005859375, 0.4267578125, 0.397705078125, 0.14892578125, 0.2205810546875, -0.2415771484375, 0.1859130859375, -0.244873046875, -0.6943359375, 1.2265625, -0.6748046875, 0.09185791015625, 0.323974609375, -0.12841796875, -0.20654296875, 0.33740234375, -0.0210723876953125, 0.78955078125, -0.291259765625, 0.6650390625, 0.7265625, -0.69677734375, 1.005859375, 0.027618408203125, -0.46240234375, 1.5419921875, 0.353271484375, 0.117919921875, 1.2412109375, -0.13916015625, -0.77587890625, 0.689453125, -0.8056640625, 0.383056640625, 0.466552734375, 0.393798828125, -0.395263671875, 0.12359619140625, 0.11383056640625, 0.21484375, 0.5947265625, 0.324462890625, -0.4169921875, 0.47607421875, -0.0096588134765625, 0.8125, -0.201171875, 0.7880859375, -0.443603515625, -0.263427734375, -0.1292724609375, -1.0234375, 0.166015625, -0.175537109375, -0.04046630859375, 0.8818359375, 0.61962890625, 1.064453125, 1.0615234375, -0.1666259765625, 0.51416015625, 0.158203125, -0.384521484375, 0.1131591796875, 0.047149658203125, 0.62646484375, 0.301513671875, 0.234619140625, -0.0460205078125, -0.456787109375, -0.6708984375, -0.55224609375, -0.11962890625, 0.61181640625, -0.282958984375, 0.291259765625, -0.06085205078125, -0.036529541015625, -0.99755859375, 0.063720703125, -0.0792236328125, -0.89892578125, -0.3486328125, 0.6650390625, -0.04498291015625, 0.783203125, -0.204345703125, -0.446533203125, 0.1282958984375, 0.9658203125, -0.16845703125, 0.078125, 0.5634765625, 0.1649169921875, -0.313720703125, 0.233642578125, 0.26513671875, -0.56884765625, -0.9296875, 0.84228515625, -0.1568603515625, 0.06890869140625, -0.333984375, 0.63623046875, 0.328857421875, 0.3623046875, -0.07220458984375, 0.164794921875, 0.390869140625, 1.20703125, 0.1534423828125, 0.607421875, 0.114501953125, 0.5634765625, 0.396240234375, 0.88427734375, 0.41748046875, 0.2939453125, 0.38818359375, 0.8427734375, 0.51611328125, 0.2291259765625, 0.1163330078125, 0.266845703125, 0.5029296875, 0.91552734375, 0.1561279296875, 0.435546875, -0.0970458984375, -0.26513671875, -0.289306640625, 0.10784912109375, -0.35009765625, 0.66943359375, -0.10711669921875, 0.56689453125, -0.400390625, -0.082763671875, 0.22119140625, 0.92529296875, -0.98779296875, -0.55419921875, -0.138671875, -0.0179901123046875, 0.291015625, 0.34521484375, 0.53369140625, 0.234130859375, 0.367431640625, 0.50390625, -0.31982421875, -0.205810546875, -0.732421875, -0.61962890625, -0.9990234375, -0.436767578125, -0.99560546875, -0.0328369140625, 0.2467041015625, -0.9091796875, 0.3720703125, -0.406982421875, -0.4150390625, 0.479248046875, -0.57861328125, 0.65234375, -0.432373046875, 0.8623046875, -0.7841796875, 0.449951171875, -0.0059051513671875, 1.0263671875, -0.51806640625, -0.4091796875, 0.0775146484375, -0.62060546875, 0.429931640625, 0.2308349609375, 0.703125, -0.12103271484375, -0.72119140625, -0.88134765625, -0.34326171875, 0.140869140625, -0.495849609375, 0.22509765625, -0.51220703125, 0.98095703125, 0.67041015625, -0.2147216796875, 0.92138671875, 1.119140625, -1.19921875, 0.434326171875, 0.345703125, 0.0004630088806152344, -0.8525390625, 1.40234375, 0.53857421875, 0.346923828125, -0.64892578125, -0.402099609375, -0.69970703125, -0.0122222900390625, 0.470703125, -0.619140625, -0.14990234375, 0.51123046875, -0.0938720703125, -1.3427734375, 0.3583984375, -1.1640625, -0.4599609375, -0.779296875, -0.25048828125, 0.984375, 0.76416015625, 0.06787109375, -0.55810546875, -0.33349609375, -0.29443359375, 0.53759765625, 0.5576171875, -0.340576171875, 0.289306640625, 0.6474609375, 0.1156005859375, 0.240478515625, -0.271240234375, -0.42919921875, -0.1314697265625, 0.12432861328125, 0.260986328125, 0.638671875, -0.044952392578125, 0.265625, 0.15380859375, 0.8330078125, -1.04296875, -0.322265625, -0.395263671875, 1.013671875, 0.6455078125, 0.73583984375, 0.418701171875, -0.6376953125, -0.436279296875, -0.98291015625, 0.802734375, 0.2232666015625, 0.9375, -0.60205078125, 0.681640625, 0.297119140625, -0.87939453125, 0.45361328125, -0.51611328125, -0.155029296875, 0.9052734375, -0.44921875, 1.2314453125, -0.38134765625, 0.302490234375, -0.076904296875, 0.212890625, 0.56005859375, 0.52197265625, 0.282470703125, -0.42041015625, -0.423095703125, -0.177978515625, -0.031097412109375, -0.11871337890625, -0.7138671875, 0.34130859375, -0.249755859375, -0.107666015625, -0.9638671875, 0.429931640625, 0.70654296875, 0.7802734375, -0.27490234375, 0.42138671875, 0.399658203125, 0.6376953125, 0.46826171875, -0.1646728515625, 0.429931640625, -0.91064453125, 0.52392578125, 0.1341552734375, -0.513671875, -0.69091796875, -0.470947265625, -0.44873046875, 0.238525390625, -0.11199951171875, -0.166015625, -1.0859375, 0.25634765625, 0.0021724700927734375, 0.41064453125, -0.95361328125, -0.059417724609375, -0.54345703125, 0.64990234375, 0.281982421875, -1.1025390625, 0.65478515625, -0.88232421875, 0.482177734375, 0.6416015625, 0.132080078125, -0.42626953125, -0.2099609375, -0.84521484375, -0.300048828125, -0.0675048828125, 0.83154296875, -0.1026611328125, -0.041107177734375, -0.88134765625, 0.360107421875, 0.386474609375, -0.3251953125, -0.167236328125, -0.2919921875, 0.5107421875, -0.03704833984375, 1.1474609375, -0.5498046875, -0.9921875, 0.125732421875, -0.9619140625, 0.265869140625, -0.72265625, 0.418701171875, -0.016448974609375, 0.00949859619140625, 0.1702880859375, 0.2139892578125, -0.473876953125, 0.12646484375, -0.2269287109375, 0.1800537109375, -0.7626953125, -0.76611328125, 0.6025390625, -0.25390625, -0.44677734375, 0.9423828125, 0.152099609375, -0.3955078125, 0.1502685546875, 0.64404296875, -0.3974609375, 0.304443359375, -0.67041015625, 0.335205078125, -0.323974609375, -0.9013671875, -0.032073974609375, -0.432373046875, 0.56982421875, 0.042572021484375, -1.150390625, -0.11676025390625, -1.009765625, -0.36962890625, -0.11834716796875, -0.88427734375, 0.39892578125, 0.003414154052734375, -0.267333984375, 0.10040283203125, -0.052459716796875, -0.609375, -0.486572265625, -0.471435546875, -0.334716796875, 0.39599609375, 0.58349609375, 1.1767578125, 0.221923828125, -0.29345703125, -0.443359375, 0.2093505859375, 0.09820556640625, -0.68505859375, -0.4365234375, -0.0592041015625, -0.10357666015625, -0.23486328125, 0.2364501953125, -0.2227783203125, 0.19482421875, 0.69677734375, 0.401611328125, 0.294189453125, 0.1011962890625, -0.75830078125, 0.818359375, 0.2130126953125, -0.91162109375, -0.87255859375, 0.3583984375, 0.061767578125, 0.77783203125, 0.343994140625, -0.45556640625, -0.84326171875, -1.017578125, -0.02685546875, -0.475341796875, -0.07806396484375, -1.10546875, -0.498046875, -0.320068359375, 0.5634765625, 0.132568359375, -0.01885986328125, 0.0517578125, -1.0869140625, -0.095458984375, -0.486083984375, -0.251220703125, -1.287109375, -0.43603515625, -0.121337890625, 1.044921875, 0.478515625, 0.22802734375, 0.1005859375, -0.11553955078125, 0.08441162109375, -0.393798828125, -0.52490234375, -0.288330078125, -0.09857177734375, 0.03753662109375, -0.458740234375, 0.166015625, -0.55908203125, 0.83740234375, -0.83642578125, 0.0819091796875, -0.2010498046875, -0.2066650390625, -0.32177734375, -0.279541015625, 1.25, -0.26806640625, 0.053680419921875, -0.340087890625, 0.72265625, 0.99853515625, -0.541015625, -0.302734375, -0.814453125, -0.75390625, -1.037109375, 0.5458984375, -0.77490234375, 0.0433349609375, -0.6640625, -0.320556640625, 1.0126953125, -0.157470703125, 0.4541015625, 1.1650390625, 0.0721435546875, 0.3388671875, -0.62158203125, 0.82958984375, 0.351318359375, -0.8349609375, -0.267578125, -0.2093505859375, -0.7822265625, 0.30126953125, -0.2198486328125, -1.1064453125, -0.420654296875, 0.486328125, 1.3623046875, -0.061309814453125, 1.0859375, -0.194091796875, -0.8671875, -0.61181640625, 0.7578125, 0.46923828125, 0.3994140625, 0.958984375, 0.142578125, -0.10113525390625, 0.01507568359375, -0.05853271484375, -0.1417236328125, -0.251708984375, 1.1953125, -0.1302490234375, -0.662109375, 0.419677734375, 0.8203125, -1.1376953125, -0.8134765625, -0.29931640625, -0.2325439453125, -0.5556640625, -0.55712890625, 0.52294921875, 0.381103515625, -0.5322265625, -0.170166015625, 0.66796875, -0.427734375, 0.342529296875, 0.111328125, 0.042449951171875, -0.384033203125, 0.384033203125, 0.319091796875, -0.56005859375, -0.443359375, -0.45458984375, 0.093994140625, -0.39208984375, 0.2391357421875, 0.626953125, -0.62841796875, -0.1165771484375, 0.2205810546875, -0.1768798828125, 0.76611328125, -0.460205078125, -1.0263671875, -0.069091796875, -0.62353515625, -0.6806640625, -0.171875, 0.393310546875, -0.26318359375, 0.5458984375, -0.256103515625, -0.1900634765625, 0.256103515625, 0.293701171875, -0.1712646484375, -1.146484375, -0.3310546875, -1.2119140625, -0.470703125, -0.54736328125, -0.55517578125, -0.5205078125, 0.2276611328125, 0.30126953125, -0.67626953125, -0.016632080078125, 0.89501953125, -0.3388671875, 0.99609375, -0.728515625, 0.04302978515625, -0.55078125, -0.83349609375, -0.55419921875, 0.14404296875, -0.08514404296875, 0.362548828125, -0.447265625, 0.796875, -0.134765625, 0.2398681640625, -0.262451171875, 0.286865234375, -0.328369140625, -0.36572265625, 0.2109375, 0.028778076171875, 0.0562744140625, 0.55859375, 0.39990234375, -0.218505859375, 0.42529296875, -0.3369140625, -0.458984375, -0.63720703125, 0.65673828125, 0.56494140625, -0.4287109375, -0.11322021484375, -0.28125, -0.007114410400390625, -0.8154296875, 0.38427734375, -0.27099609375, -0.082763671875, -0.374755859375, -0.505859375, 0.6181640625, 1.1640625, -0.1976318359375, 0.293212890625, -0.0187835693359375, 0.329833984375, 0.32421875, 0.62890625, -0.11346435546875, 0.445556640625, -0.198486328125, 0.0826416015625, -0.03997802734375, 0.60498046875, -0.02606201171875, 0.1953125, -0.25048828125, -0.75537109375, -0.96142578125, -0.229248046875, 0.10809326171875, 0.485595703125, 0.036285400390625, -0.396728515625, 0.0255279541015625, -0.045166015625, -0.23828125, 0.340576171875, -0.88525390625, -1.0419921875, 0.2705078125, -0.33447265625, -0.7314453125, -0.291015625, -0.5791015625, -0.0439453125, 0.251220703125, 0.345703125, -0.517578125, 0.578125, 0.0181732177734375, 0.75390625, -0.266357421875, -0.2391357421875, -0.128662109375, 0.139404296875, -0.791015625, -0.560546875, 0.111572265625, 0.92822265625, 0.219970703125, -0.3759765625, -0.55419921875, 0.070556640625, -0.26953125, 0.419921875, -0.64794921875, -0.1021728515625, -0.324951171875, 0.697265625, -0.89501953125, 0.2376708984375, 0.0726318359375, 0.2578125, 0.349609375, -0.489501953125, -0.89599609375, 0.81787109375, 0.21875, -0.257568359375, 0.640625, 0.0731201171875, 0.55224609375, -0.1220703125, -0.1302490234375, -0.0249786376953125, 0.8056640625, 0.350341796875, 0.546875, 0.1298828125, 0.64794921875, 0.458984375, 0.173828125, -0.452392578125, 0.76708984375, 0.30419921875, 0.25341796875, 0.08966064453125, -0.1656494140625, -0.2364501953125, -0.0228729248046875, -0.5400390625, -0.00977325439453125, -0.53515625, -0.18212890625, -0.409423828125, -0.6669921875, 0.94140625, 0.072509765625, -0.33642578125, 0.12384033203125, -0.39892578125, 0.17724609375, 0.81640625, -0.18212890625, -0.09808349609375, 0.98388671875, 0.90966796875, 0.26416015625, 0.50537109375, 0.2476806640625, 0.177490234375, -0.415283203125, 0.160400390625, 0.07098388671875, 0.10919189453125, -0.390380859375, -0.87939453125, -0.7763671875, 0.5654296875, -0.060272216796875, -0.058807373046875, 0.66259765625, -0.434326171875, -0.125, -0.414306640625, 0.85986328125, -0.75439453125, 0.51806640625, 0.34912109375, -0.00457000732421875, -0.60693359375, 0.59912109375, -0.425537109375, 0.2666015625, 0.463134765625, 0.83935546875, -0.1343994140625, 1.6943359375, 0.12890625, -0.175048828125, -0.1351318359375, 0.460205078125, -0.274658203125, -0.52734375, -0.576171875, -0.5390625, -0.0174560546875, -0.5166015625, -0.48779296875, -0.0533447265625, 0.8193359375, -0.11785888671875, -0.93408203125, -0.1842041015625, 0.253173828125, -0.83935546875, 0.6474609375, 0.41015625, 0.11187744140625, 0.0673828125, 0.00830078125, 0.203125, -0.43505859375, 0.357177734375, -0.55224609375, 0.6416015625, -0.7294921875, -0.483642578125, -0.5537109375, -0.4453125, 0.0238494873046875, 0.1739501953125, -0.36767578125, -0.8466796875, 0.235595703125, 0.481689453125, 0.26611328125, 0.0440673828125, -0.26708984375, 0.12335205078125, 1.169921875, 0.80126953125, -0.165771484375, 0.755859375, 0.27978515625, -0.307861328125, 0.246826171875, -0.3916015625, 0.5380859375, 0.07745361328125, 0.0386962890625, -0.330810546875, 0.302734375, -0.9130859375, -1.478515625, -0.31591796875, 0.5302734375, 0.4453125, -0.7314453125, -0.9931640625, -0.260498046875, -0.71875, -0.56787109375, -0.54248046875, 0.57763671875, -0.2705078125, -0.2247314453125, -0.132568359375, -1.3515625, 4.29296875, 0.8251953125, 0.806640625, 0.227783203125, 0.218994140625, 1.0419921875, 0.6416015625, -0.470458984375, 0.06121826171875, -0.401123046875, 0.318359375, -0.73193359375, -0.1971435546875, 0.96826171875, 0.284423828125, 0.578125, -0.467041015625, 0.67236328125, -0.1728515625, -0.767578125, -0.798828125, 0.3583984375, 0.08026123046875, 0.82275390625, 0.251953125, 0.316650390625, 0.12347412109375, -0.587890625, -0.029937744140625, -0.8056640625, 0.44189453125, -0.4990234375, 1.0439453125, -0.042999267578125, -0.060272216796875, 0.703125, 0.400146484375, -0.74169921875, -0.2734375, -0.176025390625, -0.10736083984375, -0.07171630859375, 0.67138671875, -0.7236328125, 0.039703369140625, 0.5078125, -1.017578125, 0.311279296875, 0.34912109375, -1.0537109375, 0.828125, -0.6845703125, 0.66552734375, -0.60986328125, -0.58740234375, -0.00801849365234375, -0.0101318359375, -0.2578125, -0.363525390625, 0.48828125, 0.127197265625, 0.170166015625, 0.36767578125, 0.43505859375, -1.1259765625, 0.68310546875, 0.0628662109375, 0.1658935546875, -0.54052734375, -0.381591796875, 0.034027099609375, -0.0280609130859375, -0.2322998046875, -0.29248046875, 0.94091796875, 0.26318359375, -0.6396484375, 0.414306640625, 0.73486328125, -0.80419921875, 0.0230255126953125, -0.361083984375, -0.19873046875, -0.3115234375, 0.66650390625, 0.841796875, -0.5625, -0.544921875, -0.377197265625, 0.50537109375, 0.76220703125, 0.6513671875, -0.1480712890625, -0.494873046875, -0.0120391845703125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Tags: dp, implementation, strings Correct Solution: ``` import sys value = input() if (len(value) < 7): print(0) sys.exit(0) res = set() possible = {} possible[len(value)] = set([2]) if (len(value) > 7): possible[len(value)].add(3) possibleLen = [2, 3] for i in reversed(range(7, len(value) + 1)): possibleVal = possible.get(i, set()) for length in possibleVal: nextI = i - length val = value[nextI:i] res.add(val) for posLen in possibleLen: if (nextI >= 5 + posLen and value[nextI - posLen:nextI] != val): setNextI = possible.setdefault(nextI, set()) setNextI.add(posLen) print(len(res)) for val in sorted(res): print(val) ```
5,463
[ 0.2344970703125, 0.07470703125, 0.2254638671875, 0.11126708984375, 0.00389862060546875, -0.09912109375, 0.076171875, -0.34375, 0.30224609375, 0.60791015625, 1.23046875, -0.456298828125, 0.262939453125, -1.048828125, -0.68310546875, -0.3173828125, -0.4970703125, -0.76025390625, -0.68505859375, -0.0280609130859375, 0.08123779296875, -0.254638671875, -1.2998046875, 0.01410675048828125, -0.22705078125, 1.0439453125, 0.556640625, -0.1297607421875, 1.119140625, 0.95556640625, -0.4560546875, -0.58154296875, 0.73974609375, -1.20703125, -0.465576171875, -0.15771484375, 0.414306640625, -0.9306640625, 0.0103759765625, -0.48876953125, 0.273681640625, -0.76611328125, 0.407958984375, -0.58740234375, -0.85302734375, 0.310302734375, -0.298095703125, -0.4326171875, -0.057891845703125, -0.7900390625, 0.3095703125, -0.01241302490234375, 0.52197265625, -0.13525390625, 0.036346435546875, -0.1895751953125, 0.111083984375, -0.3115234375, -0.630859375, 0.5673828125, 0.2415771484375, 0.50390625, 0.295166015625, -0.498779296875, -0.032501220703125, 0.2568359375, -0.055084228515625, -0.08319091796875, 0.2294921875, -0.7255859375, -0.15869140625, 0.166259765625, -0.153564453125, -0.4599609375, -0.4365234375, -0.060333251953125, 0.52001953125, -0.221923828125, -0.53173828125, 0.64892578125, 0.261962890625, 1.166015625, 0.53369140625, 0.1077880859375, -0.176025390625, -0.58544921875, -0.178955078125, 0.48486328125, 0.5673828125, 0.185302734375, -0.313720703125, 0.65234375, -0.97998046875, -0.041717529296875, 0.89697265625, 0.3271484375, -0.5869140625, 0.42138671875, 0.253662109375, 0.52099609375, 1.068359375, 0.93310546875, -0.33984375, 0.9677734375, -0.66064453125, 0.032012939453125, 0.07080078125, -0.1290283203125, 0.02154541015625, -0.1485595703125, -0.1248779296875, -0.006107330322265625, 0.50830078125, 0.28955078125, -0.5224609375, 1.154296875, -0.392578125, 0.4091796875, -1.017578125, 0.4609375, 0.376953125, 0.1966552734375, 0.2132568359375, -0.27197265625, 0.1435546875, -0.2041015625, -0.7099609375, 1.1962890625, -0.6689453125, 0.08563232421875, 0.323974609375, -0.14501953125, -0.1697998046875, 0.310302734375, -0.01300048828125, 0.76220703125, -0.288818359375, 0.6943359375, 0.7177734375, -0.716796875, 1.0087890625, -0.005573272705078125, -0.474365234375, 1.5478515625, 0.3818359375, 0.1094970703125, 1.2294921875, -0.0933837890625, -0.74853515625, 0.677734375, -0.7939453125, 0.391845703125, 0.471435546875, 0.3818359375, -0.357177734375, 0.10418701171875, 0.117919921875, 0.1939697265625, 0.61474609375, 0.345947265625, -0.448974609375, 0.453369140625, 0.007152557373046875, 0.806640625, -0.1968994140625, 0.791015625, -0.4130859375, -0.3056640625, -0.12066650390625, -0.984375, 0.203125, -0.2138671875, -0.02191162109375, 0.875, 0.61572265625, 1.0185546875, 1.1015625, -0.153076171875, 0.498779296875, 0.1873779296875, -0.373046875, 0.1209716796875, 0.047332763671875, 0.5693359375, 0.302734375, 0.23779296875, -0.0113983154296875, -0.45263671875, -0.70703125, -0.55419921875, -0.09466552734375, 0.61767578125, -0.2822265625, 0.30224609375, -0.06268310546875, -0.059051513671875, -0.9990234375, 0.0635986328125, -0.10003662109375, -0.90625, -0.33544921875, 0.6435546875, -0.040618896484375, 0.74853515625, -0.2218017578125, -0.428955078125, 0.1390380859375, 0.98046875, -0.1873779296875, 0.0762939453125, 0.55029296875, 0.1220703125, -0.36083984375, 0.2364501953125, 0.2763671875, -0.54443359375, -0.91357421875, 0.82080078125, -0.1494140625, 0.04071044921875, -0.3330078125, 0.6201171875, 0.324951171875, 0.367431640625, -0.0215911865234375, 0.153076171875, 0.360107421875, 1.1611328125, 0.166259765625, 0.5966796875, 0.1485595703125, 0.57373046875, 0.39306640625, 0.857421875, 0.37841796875, 0.32470703125, 0.3671875, 0.83203125, 0.4951171875, 0.259765625, 0.11444091796875, 0.235595703125, 0.480224609375, 0.89306640625, 0.14404296875, 0.443359375, -0.06524658203125, -0.28662109375, -0.3095703125, 0.10675048828125, -0.330078125, 0.6630859375, -0.128173828125, 0.56298828125, -0.38427734375, -0.06756591796875, 0.2015380859375, 0.95166015625, -0.99658203125, -0.5478515625, -0.1441650390625, -0.029815673828125, 0.294677734375, 0.351806640625, 0.515625, 0.2469482421875, 0.4052734375, 0.479248046875, -0.3232421875, -0.2152099609375, -0.716796875, -0.572265625, -0.98876953125, -0.42431640625, -1.0048828125, -0.0386962890625, 0.257568359375, -0.900390625, 0.3896484375, -0.44873046875, -0.404052734375, 0.46240234375, -0.56005859375, 0.64892578125, -0.3916015625, 0.859375, -0.75830078125, 0.434814453125, -0.007904052734375, 1.046875, -0.484619140625, -0.425048828125, 0.066650390625, -0.63818359375, 0.39404296875, 0.2242431640625, 0.705078125, -0.11065673828125, -0.6982421875, -0.87744140625, -0.373779296875, 0.149169921875, -0.501953125, 0.2447509765625, -0.5029296875, 0.9814453125, 0.63623046875, -0.2066650390625, 0.90673828125, 1.1552734375, -1.212890625, 0.445556640625, 0.327392578125, -0.040069580078125, -0.8583984375, 1.396484375, 0.492919921875, 0.348388671875, -0.64697265625, -0.413818359375, -0.67919921875, -0.03472900390625, 0.46875, -0.60498046875, -0.1636962890625, 0.49267578125, -0.1209716796875, -1.3310546875, 0.347412109375, -1.1572265625, -0.43017578125, -0.7939453125, -0.21044921875, 0.9609375, 0.72509765625, 0.07122802734375, -0.58544921875, -0.298828125, -0.28564453125, 0.541015625, 0.55224609375, -0.3369140625, 0.3271484375, 0.64404296875, 0.1253662109375, 0.259033203125, -0.267578125, -0.368408203125, -0.1280517578125, 0.1158447265625, 0.238525390625, 0.625, -0.037811279296875, 0.257568359375, 0.1712646484375, 0.7998046875, -1.013671875, -0.282958984375, -0.381103515625, 0.9931640625, 0.68115234375, 0.7587890625, 0.40625, -0.63330078125, -0.417724609375, -0.990234375, 0.83056640625, 0.2244873046875, 0.9208984375, -0.59912109375, 0.6865234375, 0.31201171875, -0.88037109375, 0.44091796875, -0.5283203125, -0.1319580078125, 0.87890625, -0.410400390625, 1.287109375, -0.3232421875, 0.31201171875, -0.053253173828125, 0.2210693359375, 0.54736328125, 0.51318359375, 0.27001953125, -0.423828125, -0.3994140625, -0.218505859375, -0.08807373046875, -0.1314697265625, -0.71533203125, 0.3740234375, -0.1923828125, -0.100341796875, -0.95703125, 0.391845703125, 0.69921875, 0.810546875, -0.281005859375, 0.426025390625, 0.335205078125, 0.6376953125, 0.4677734375, -0.1495361328125, 0.464599609375, -0.89697265625, 0.49365234375, 0.06988525390625, -0.5126953125, -0.7119140625, -0.489013671875, -0.419677734375, 0.26171875, -0.110595703125, -0.156005859375, -1.08984375, 0.2301025390625, -0.005054473876953125, 0.359130859375, -0.9755859375, -0.03729248046875, -0.5615234375, 0.6103515625, 0.2464599609375, -1.0908203125, 0.67529296875, -0.85986328125, 0.46435546875, 0.61376953125, 0.135009765625, -0.3974609375, -0.2188720703125, -0.81298828125, -0.299072265625, -0.057373046875, 0.81591796875, -0.0648193359375, -0.0258636474609375, -0.87890625, 0.333740234375, 0.35595703125, -0.27294921875, -0.18896484375, -0.29443359375, 0.53857421875, -0.0207366943359375, 1.1259765625, -0.515625, -0.95849609375, 0.1302490234375, -0.98095703125, 0.2314453125, -0.71630859375, 0.42578125, -0.00626373291015625, 0.01261138916015625, 0.1182861328125, 0.2320556640625, -0.486572265625, 0.136474609375, -0.2047119140625, 0.1427001953125, -0.76220703125, -0.77685546875, 0.6552734375, -0.255126953125, -0.394775390625, 0.9033203125, 0.171875, -0.40380859375, 0.183837890625, 0.68359375, -0.389404296875, 0.262939453125, -0.66552734375, 0.322265625, -0.314453125, -0.92919921875, -0.03192138671875, -0.4287109375, 0.57080078125, -0.00591278076171875, -1.2041015625, -0.11346435546875, -1.015625, -0.38232421875, -0.0845947265625, -0.8359375, 0.40283203125, 0.023529052734375, -0.2861328125, 0.0860595703125, -0.01184844970703125, -0.578125, -0.50537109375, -0.47900390625, -0.285400390625, 0.337646484375, 0.5986328125, 1.1630859375, 0.170166015625, -0.325439453125, -0.477783203125, 0.258544921875, 0.0675048828125, -0.65087890625, -0.461669921875, -0.01690673828125, -0.120849609375, -0.2247314453125, 0.2216796875, -0.2568359375, 0.193359375, 0.689453125, 0.428466796875, 0.27392578125, 0.1285400390625, -0.75537109375, 0.79248046875, 0.2158203125, -0.90478515625, -0.8876953125, 0.365234375, 0.00726318359375, 0.75244140625, 0.35546875, -0.45361328125, -0.85107421875, -1.0107421875, -0.05059814453125, -0.47216796875, -0.0660400390625, -1.0810546875, -0.52783203125, -0.302978515625, 0.51220703125, 0.152587890625, -0.01189422607421875, 0.018218994140625, -1.0859375, -0.086669921875, -0.45166015625, -0.2364501953125, -1.271484375, -0.469970703125, -0.10186767578125, 1.0654296875, 0.495361328125, 0.2403564453125, 0.0706787109375, -0.09033203125, 0.0888671875, -0.384521484375, -0.498779296875, -0.274169921875, -0.12060546875, 0.058135986328125, -0.4541015625, 0.169189453125, -0.52978515625, 0.8115234375, -0.81396484375, 0.046539306640625, -0.2255859375, -0.183349609375, -0.333984375, -0.2498779296875, 1.22265625, -0.252197265625, -0.0022602081298828125, -0.341796875, 0.7529296875, 0.97265625, -0.55615234375, -0.27880859375, -0.798828125, -0.74462890625, -1.05078125, 0.54150390625, -0.7783203125, -0.0004000663757324219, -0.65673828125, -0.315185546875, 1.0302734375, -0.1622314453125, 0.51220703125, 1.1923828125, 0.08551025390625, 0.321533203125, -0.6142578125, 0.82080078125, 0.33935546875, -0.82763671875, -0.259033203125, -0.163330078125, -0.77197265625, 0.317138671875, -0.19091796875, -1.0751953125, -0.368896484375, 0.47705078125, 1.3681640625, -0.0390625, 1.1005859375, -0.2137451171875, -0.8544921875, -0.56005859375, 0.74560546875, 0.5087890625, 0.427490234375, 0.94775390625, 0.1507568359375, -0.0894775390625, 0.033111572265625, -0.042724609375, -0.1396484375, -0.26611328125, 1.16015625, -0.1572265625, -0.6875, 0.386962890625, 0.85693359375, -1.107421875, -0.80224609375, -0.28271484375, -0.26220703125, -0.52783203125, -0.56591796875, 0.5126953125, 0.37255859375, -0.57470703125, -0.1707763671875, 0.61962890625, -0.443603515625, 0.330078125, 0.10589599609375, 0.0170745849609375, -0.433837890625, 0.37646484375, 0.251708984375, -0.57861328125, -0.38525390625, -0.438720703125, 0.1090087890625, -0.431396484375, 0.232421875, 0.63427734375, -0.63818359375, -0.09735107421875, 0.2469482421875, -0.1514892578125, 0.7998046875, -0.408203125, -1.0078125, -0.085693359375, -0.62353515625, -0.68603515625, -0.1624755859375, 0.378662109375, -0.26025390625, 0.529296875, -0.2396240234375, -0.2205810546875, 0.26318359375, 0.249267578125, -0.1854248046875, -1.189453125, -0.38134765625, -1.2080078125, -0.426513671875, -0.52197265625, -0.53369140625, -0.53271484375, 0.19677734375, 0.2734375, -0.65380859375, -0.0340576171875, 0.8896484375, -0.296875, 0.95068359375, -0.7666015625, 0.0654296875, -0.5302734375, -0.884765625, -0.5498046875, 0.158203125, -0.06939697265625, 0.360595703125, -0.466552734375, 0.73681640625, -0.076416015625, 0.2200927734375, -0.271728515625, 0.278076171875, -0.33935546875, -0.37060546875, 0.224853515625, 0.01190185546875, 0.019561767578125, 0.572265625, 0.398193359375, -0.2078857421875, 0.412841796875, -0.340087890625, -0.48046875, -0.68115234375, 0.6279296875, 0.55712890625, -0.427734375, -0.104248046875, -0.314453125, -0.022705078125, -0.79833984375, 0.344970703125, -0.257080078125, -0.0665283203125, -0.383056640625, -0.485595703125, 0.595703125, 1.15625, -0.1832275390625, 0.2491455078125, -0.0124664306640625, 0.3447265625, 0.31201171875, 0.60107421875, -0.1226806640625, 0.431884765625, -0.18408203125, 0.10968017578125, -0.01372528076171875, 0.60498046875, -0.057464599609375, 0.1939697265625, -0.285400390625, -0.7451171875, -0.94580078125, -0.235595703125, 0.129150390625, 0.475341796875, 0.019439697265625, -0.39111328125, 0.0272979736328125, -0.062469482421875, -0.222412109375, 0.340087890625, -0.84130859375, -1.0234375, 0.2420654296875, -0.36572265625, -0.7265625, -0.2705078125, -0.5908203125, -0.0458984375, 0.2431640625, 0.34765625, -0.495361328125, 0.56591796875, 0.00991058349609375, 0.73681640625, -0.282470703125, -0.2396240234375, -0.145263671875, 0.1148681640625, -0.75048828125, -0.53173828125, 0.1650390625, 0.9072265625, 0.2056884765625, -0.421142578125, -0.55615234375, 0.0447998046875, -0.26904296875, 0.405029296875, -0.64501953125, -0.0931396484375, -0.311279296875, 0.673828125, -0.919921875, 0.2314453125, 0.07647705078125, 0.2646484375, 0.369384765625, -0.48974609375, -0.908203125, 0.8134765625, 0.24169921875, -0.26416015625, 0.64453125, 0.07452392578125, 0.5634765625, -0.0689697265625, -0.149658203125, -0.040008544921875, 0.78271484375, 0.34375, 0.5244140625, 0.101806640625, 0.64697265625, 0.447265625, 0.2064208984375, -0.493408203125, 0.76416015625, 0.307373046875, 0.29150390625, 0.11846923828125, -0.1451416015625, -0.257568359375, -0.026458740234375, -0.54150390625, 0.01263427734375, -0.521484375, -0.20947265625, -0.399169921875, -0.66015625, 0.8974609375, 0.0462646484375, -0.366455078125, 0.14453125, -0.40380859375, 0.1905517578125, 0.78515625, -0.20263671875, -0.100341796875, 0.9423828125, 0.896484375, 0.241943359375, 0.469482421875, 0.259521484375, 0.17724609375, -0.455810546875, 0.1417236328125, 0.064697265625, 0.136474609375, -0.366943359375, -0.88525390625, -0.77587890625, 0.54833984375, -0.049285888671875, -0.0396728515625, 0.6591796875, -0.4189453125, -0.13427734375, -0.394287109375, 0.8388671875, -0.73828125, 0.5302734375, 0.334228515625, 0.001537322998046875, -0.6005859375, 0.57177734375, -0.42333984375, 0.27392578125, 0.4677734375, 0.83203125, -0.152587890625, 1.67578125, 0.099853515625, -0.165283203125, -0.1541748046875, 0.437255859375, -0.27685546875, -0.53955078125, -0.58544921875, -0.52587890625, 0.006191253662109375, -0.5, -0.478759765625, -0.0714111328125, 0.8017578125, -0.1405029296875, -0.90673828125, -0.1676025390625, 0.2314453125, -0.828125, 0.68115234375, 0.4208984375, 0.11907958984375, 0.054779052734375, 0.0081939697265625, 0.2266845703125, -0.421875, 0.376953125, -0.5732421875, 0.66748046875, -0.70263671875, -0.4609375, -0.50830078125, -0.44677734375, 0.001255035400390625, 0.1754150390625, -0.382568359375, -0.849609375, 0.2174072265625, 0.464111328125, 0.302978515625, 0.032928466796875, -0.2381591796875, 0.1456298828125, 1.1630859375, 0.8017578125, -0.1378173828125, 0.7451171875, 0.298095703125, -0.321044921875, 0.2476806640625, -0.37158203125, 0.56689453125, 0.076171875, 0.035888671875, -0.285888671875, 0.27392578125, -0.8955078125, -1.5107421875, -0.31640625, 0.54248046875, 0.435791015625, -0.69091796875, -0.93994140625, -0.2274169921875, -0.69775390625, -0.57373046875, -0.5458984375, 0.5927734375, -0.259033203125, -0.23095703125, -0.1370849609375, -1.3759765625, 4.32421875, 0.8369140625, 0.8017578125, 0.214111328125, 0.235595703125, 1.0400390625, 0.60400390625, -0.48828125, 0.047607421875, -0.41650390625, 0.31787109375, -0.73779296875, -0.2115478515625, 0.98583984375, 0.271728515625, 0.56640625, -0.5029296875, 0.7197265625, -0.1826171875, -0.75146484375, -0.80859375, 0.357177734375, 0.0245361328125, 0.84619140625, 0.26171875, 0.28125, 0.1380615234375, -0.583984375, 0.0214996337890625, -0.80078125, 0.429931640625, -0.51708984375, 1.0244140625, -0.045562744140625, -0.0560302734375, 0.71484375, 0.37353515625, -0.716796875, -0.3193359375, -0.1549072265625, -0.1373291015625, -0.1273193359375, 0.68603515625, -0.724609375, 0.041046142578125, 0.469482421875, -0.9794921875, 0.2958984375, 0.3525390625, -1.033203125, 0.84228515625, -0.6923828125, 0.6357421875, -0.58154296875, -0.59033203125, 0.002376556396484375, 0.03680419921875, -0.28564453125, -0.3818359375, 0.509765625, 0.134521484375, 0.176025390625, 0.394775390625, 0.419677734375, -1.0927734375, 0.70849609375, 0.0611572265625, 0.201904296875, -0.556640625, -0.39013671875, 0.09088134765625, -0.03448486328125, -0.273193359375, -0.26220703125, 0.9150390625, 0.212890625, -0.6298828125, 0.3828125, 0.70703125, -0.8056640625, 0.04150390625, -0.3544921875, -0.2398681640625, -0.325927734375, 0.64404296875, 0.8115234375, -0.552734375, -0.50830078125, -0.3671875, 0.438232421875, 0.771484375, 0.6767578125, -0.1246337890625, -0.50146484375, 0.01357269287109375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Tags: dp, implementation, strings Correct Solution: ``` from sys import * setrecursionlimit(20000) dp = [] ans = [] def fun(s, pos, r, ln): if pos <= 4+ln: return 0 if dp[pos][ln-2] != 0: return dp[pos][ln-2] if s[pos-ln:pos] != r: dp[pos][ln-2] = 1 + fun(s, pos - ln, s[pos-ln:pos],2) + fun(s, pos - ln, s[pos-ln:pos],3) ans.append(s[pos-ln:pos]) ''' if pos > 4+ln and s[pos-3:pos] != r: dp[pos][1] = 1 + fun(s, pos - 3, s[pos-3:pos]) ans.append(s[pos-3:pos])''' return dp[pos][ln-2] s = input() dp = [[0, 0] for i in range(len(s) + 1)] fun(s, len(s), '', 2) fun(s, len(s), '', 3) ans = list(set(ans)) ans.sort() print (len(ans)) for i in ans: print (i) ```
5,464
[ 0.223388671875, 0.0584716796875, 0.2371826171875, 0.1129150390625, -0.01393890380859375, -0.1055908203125, 0.058441162109375, -0.353759765625, 0.29541015625, 0.591796875, 1.25, -0.484130859375, 0.253662109375, -1.0400390625, -0.67626953125, -0.290771484375, -0.484619140625, -0.7626953125, -0.69384765625, 0.0252685546875, 0.0631103515625, -0.258056640625, -1.322265625, 0.011627197265625, -0.212646484375, 1.03515625, 0.56640625, -0.1258544921875, 1.142578125, 0.9404296875, -0.46875, -0.57373046875, 0.7578125, -1.1669921875, -0.4677734375, -0.1483154296875, 0.380126953125, -0.87841796875, 0.006572723388671875, -0.453369140625, 0.2880859375, -0.8115234375, 0.42041015625, -0.55908203125, -0.83544921875, 0.31689453125, -0.28955078125, -0.4189453125, -0.101806640625, -0.81298828125, 0.33935546875, -0.022491455078125, 0.53466796875, -0.1046142578125, 0.023040771484375, -0.1558837890625, 0.10693359375, -0.34375, -0.64599609375, 0.578125, 0.2020263671875, 0.50634765625, 0.28955078125, -0.51416015625, -0.038482666015625, 0.26904296875, -0.07427978515625, -0.10223388671875, 0.25439453125, -0.759765625, -0.138916015625, 0.1495361328125, -0.1461181640625, -0.4619140625, -0.41552734375, -0.07305908203125, 0.50732421875, -0.2432861328125, -0.5205078125, 0.630859375, 0.265380859375, 1.1630859375, 0.51318359375, 0.1195068359375, -0.1876220703125, -0.56298828125, -0.202392578125, 0.4541015625, 0.5498046875, 0.1727294921875, -0.347900390625, 0.64013671875, -0.9619140625, -0.038726806640625, 0.91748046875, 0.318603515625, -0.6064453125, 0.4697265625, 0.279541015625, 0.488037109375, 1.0693359375, 0.9375, -0.330810546875, 0.9453125, -0.66748046875, 0.01088714599609375, 0.07354736328125, -0.10186767578125, 0.05224609375, -0.1610107421875, -0.110595703125, 0.0024547576904296875, 0.489990234375, 0.251220703125, -0.525390625, 1.1513671875, -0.406005859375, 0.424072265625, -1.0087890625, 0.46240234375, 0.3984375, 0.1907958984375, 0.2357177734375, -0.25048828125, 0.1641845703125, -0.220458984375, -0.6845703125, 1.2001953125, -0.67626953125, 0.07196044921875, 0.3193359375, -0.150390625, -0.1905517578125, 0.317626953125, -0.0099639892578125, 0.77490234375, -0.297119140625, 0.70654296875, 0.734375, -0.7421875, 1.013671875, 0.004261016845703125, -0.486328125, 1.53515625, 0.36865234375, 0.14013671875, 1.2275390625, -0.1324462890625, -0.73779296875, 0.69677734375, -0.78466796875, 0.383056640625, 0.4755859375, 0.397216796875, -0.380126953125, 0.09515380859375, 0.11785888671875, 0.2213134765625, 0.57666015625, 0.343505859375, -0.440673828125, 0.43310546875, -0.0166473388671875, 0.82763671875, -0.21435546875, 0.8046875, -0.44384765625, -0.297119140625, -0.12005615234375, -0.97802734375, 0.16455078125, -0.234130859375, -0.037628173828125, 0.8701171875, 0.60986328125, 1.0126953125, 1.0703125, -0.1668701171875, 0.517578125, 0.175537109375, -0.357177734375, 0.09478759765625, 0.05841064453125, 0.58984375, 0.279052734375, 0.221435546875, -0.028594970703125, -0.45703125, -0.70068359375, -0.5791015625, -0.126708984375, 0.6005859375, -0.29638671875, 0.2978515625, -0.055755615234375, -0.060882568359375, -1.0166015625, 0.06256103515625, -0.077880859375, -0.87158203125, -0.334716796875, 0.64599609375, -0.06787109375, 0.7822265625, -0.2435302734375, -0.422607421875, 0.11492919921875, 0.990234375, -0.20849609375, 0.0849609375, 0.55615234375, 0.12493896484375, -0.370361328125, 0.25, 0.258544921875, -0.5673828125, -0.94189453125, 0.86328125, -0.1759033203125, 0.0670166015625, -0.346923828125, 0.60302734375, 0.3642578125, 0.39013671875, -0.0296783447265625, 0.198486328125, 0.36572265625, 1.1708984375, 0.15185546875, 0.609375, 0.134033203125, 0.56005859375, 0.38427734375, 0.8564453125, 0.399169921875, 0.3037109375, 0.363525390625, 0.875, 0.5068359375, 0.232177734375, 0.1219482421875, 0.252685546875, 0.5029296875, 0.88427734375, 0.1580810546875, 0.466552734375, -0.08990478515625, -0.28955078125, -0.28955078125, 0.10540771484375, -0.34326171875, 0.685546875, -0.1044921875, 0.5634765625, -0.409423828125, -0.061737060546875, 0.202392578125, 0.93017578125, -0.98974609375, -0.54736328125, -0.1639404296875, -0.040374755859375, 0.27880859375, 0.330078125, 0.54833984375, 0.2279052734375, 0.36474609375, 0.50146484375, -0.33203125, -0.209716796875, -0.72119140625, -0.6083984375, -0.95947265625, -0.4150390625, -1.001953125, -0.036407470703125, 0.268310546875, -0.8818359375, 0.3916015625, -0.401611328125, -0.397705078125, 0.46337890625, -0.55810546875, 0.658203125, -0.413330078125, 0.884765625, -0.765625, 0.450927734375, -0.025177001953125, 1.0400390625, -0.50830078125, -0.432373046875, 0.0899658203125, -0.6181640625, 0.419189453125, 0.251220703125, 0.69482421875, -0.145263671875, -0.75830078125, -0.87841796875, -0.355712890625, 0.1575927734375, -0.51025390625, 0.243408203125, -0.48486328125, 0.9853515625, 0.6181640625, -0.216552734375, 0.9189453125, 1.1015625, -1.2099609375, 0.443603515625, 0.331298828125, 0.025909423828125, -0.85009765625, 1.4033203125, 0.49658203125, 0.36669921875, -0.68505859375, -0.416748046875, -0.68505859375, -0.021453857421875, 0.48046875, -0.63037109375, -0.171875, 0.490966796875, -0.07659912109375, -1.314453125, 0.360107421875, -1.15234375, -0.445556640625, -0.7880859375, -0.2388916015625, 0.94140625, 0.73291015625, 0.07373046875, -0.56298828125, -0.31982421875, -0.3271484375, 0.5263671875, 0.55859375, -0.330322265625, 0.292724609375, 0.65234375, 0.09600830078125, 0.25, -0.265869140625, -0.4140625, -0.1221923828125, 0.09173583984375, 0.243896484375, 0.61083984375, -0.058258056640625, 0.266357421875, 0.1514892578125, 0.81201171875, -1.0126953125, -0.318359375, -0.40380859375, 0.97412109375, 0.64501953125, 0.72802734375, 0.400634765625, -0.62353515625, -0.433837890625, -0.9755859375, 0.833984375, 0.232421875, 0.92919921875, -0.6181640625, 0.6689453125, 0.330810546875, -0.86962890625, 0.45361328125, -0.5458984375, -0.15380859375, 0.90185546875, -0.462158203125, 1.2509765625, -0.3359375, 0.29736328125, -0.06585693359375, 0.2227783203125, 0.5400390625, 0.517578125, 0.284912109375, -0.4365234375, -0.399658203125, -0.2083740234375, -0.08819580078125, -0.1065673828125, -0.72265625, 0.367431640625, -0.2176513671875, -0.085693359375, -0.95263671875, 0.42138671875, 0.70361328125, 0.79248046875, -0.28857421875, 0.4189453125, 0.3798828125, 0.64990234375, 0.489990234375, -0.1534423828125, 0.467529296875, -0.8994140625, 0.49658203125, 0.1356201171875, -0.50927734375, -0.70263671875, -0.491943359375, -0.45703125, 0.2420654296875, -0.095703125, -0.1505126953125, -1.0869140625, 0.22265625, 0.00379180908203125, 0.376220703125, -0.95166015625, -0.044708251953125, -0.5556640625, 0.63232421875, 0.25341796875, -1.1083984375, 0.68017578125, -0.87060546875, 0.475830078125, 0.6181640625, 0.1455078125, -0.40966796875, -0.2296142578125, -0.8251953125, -0.2880859375, -0.064453125, 0.78759765625, -0.08319091796875, -0.017791748046875, -0.86962890625, 0.33251953125, 0.370849609375, -0.32421875, -0.1802978515625, -0.295654296875, 0.55615234375, -0.033966064453125, 1.12109375, -0.51123046875, -0.990234375, 0.126953125, -0.96533203125, 0.25048828125, -0.71240234375, 0.394775390625, -0.00830078125, 0.0253753662109375, 0.188720703125, 0.232666015625, -0.4677734375, 0.1527099609375, -0.2093505859375, 0.1614990234375, -0.78662109375, -0.7880859375, 0.646484375, -0.22607421875, -0.4375, 0.9208984375, 0.1827392578125, -0.437744140625, 0.1663818359375, 0.6455078125, -0.366455078125, 0.2841796875, -0.6591796875, 0.323486328125, -0.320556640625, -0.91552734375, -0.049346923828125, -0.416015625, 0.56689453125, 0.0092010498046875, -1.177734375, -0.1197509765625, -1.0185546875, -0.37109375, -0.11053466796875, -0.8876953125, 0.38720703125, 0.003875732421875, -0.259521484375, 0.1302490234375, -0.04022216796875, -0.56201171875, -0.50830078125, -0.497802734375, -0.296630859375, 0.39404296875, 0.55908203125, 1.1806640625, 0.194580078125, -0.314697265625, -0.434326171875, 0.2235107421875, 0.0697021484375, -0.66357421875, -0.462158203125, -0.051025390625, -0.08795166015625, -0.2442626953125, 0.2139892578125, -0.23291015625, 0.1754150390625, 0.68798828125, 0.449951171875, 0.296142578125, 0.08709716796875, -0.75537109375, 0.78662109375, 0.227294921875, -0.88916015625, -0.8779296875, 0.38427734375, 0.040313720703125, 0.76708984375, 0.325927734375, -0.403076171875, -0.8310546875, -1.005859375, -0.052337646484375, -0.459716796875, -0.08233642578125, -1.091796875, -0.5029296875, -0.28369140625, 0.53466796875, 0.15478515625, -0.00868988037109375, 0.052154541015625, -1.052734375, -0.0882568359375, -0.46044921875, -0.2283935546875, -1.30078125, -0.437744140625, -0.10614013671875, 1.0595703125, 0.5341796875, 0.2200927734375, 0.09283447265625, -0.0926513671875, 0.097412109375, -0.404541015625, -0.53125, -0.28759765625, -0.1102294921875, 0.076416015625, -0.434326171875, 0.1654052734375, -0.5048828125, 0.8125, -0.83056640625, 0.07769775390625, -0.1927490234375, -0.180908203125, -0.30908203125, -0.3056640625, 1.267578125, -0.26416015625, 0.0195159912109375, -0.33642578125, 0.71484375, 0.9873046875, -0.53369140625, -0.303466796875, -0.791015625, -0.72705078125, -1.0517578125, 0.54833984375, -0.78076171875, 0.01000213623046875, -0.654296875, -0.316650390625, 1.033203125, -0.1531982421875, 0.49609375, 1.1650390625, 0.08306884765625, 0.33837890625, -0.6142578125, 0.83935546875, 0.3427734375, -0.84130859375, -0.279052734375, -0.1939697265625, -0.7861328125, 0.292724609375, -0.2030029296875, -1.1201171875, -0.3974609375, 0.49267578125, 1.34765625, -0.0633544921875, 1.1357421875, -0.21923828125, -0.849609375, -0.57421875, 0.7373046875, 0.466064453125, 0.41015625, 0.95849609375, 0.1302490234375, -0.102294921875, 0.044097900390625, -0.042449951171875, -0.137451171875, -0.240478515625, 1.1904296875, -0.14111328125, -0.65576171875, 0.38623046875, 0.83984375, -1.1142578125, -0.79736328125, -0.279296875, -0.2264404296875, -0.55419921875, -0.61083984375, 0.51513671875, 0.3896484375, -0.56689453125, -0.195556640625, 0.65087890625, -0.427490234375, 0.31640625, 0.12066650390625, 0.020904541015625, -0.4052734375, 0.4208984375, 0.287841796875, -0.53857421875, -0.448974609375, -0.446533203125, 0.114990234375, -0.420654296875, 0.24169921875, 0.6513671875, -0.6142578125, -0.144287109375, 0.2298583984375, -0.1512451171875, 0.7763671875, -0.4248046875, -0.986328125, -0.0723876953125, -0.63037109375, -0.7001953125, -0.15478515625, 0.38916015625, -0.286376953125, 0.51123046875, -0.258056640625, -0.21728515625, 0.2724609375, 0.266845703125, -0.2044677734375, -1.1962890625, -0.373779296875, -1.197265625, -0.429931640625, -0.51708984375, -0.56298828125, -0.49560546875, 0.2208251953125, 0.2998046875, -0.69580078125, -0.0286102294921875, 0.85986328125, -0.311279296875, 0.98583984375, -0.75439453125, 0.04119873046875, -0.54931640625, -0.8681640625, -0.53271484375, 0.1251220703125, -0.0777587890625, 0.375244140625, -0.4072265625, 0.78271484375, -0.1168212890625, 0.218505859375, -0.274658203125, 0.2724609375, -0.316650390625, -0.361083984375, 0.2271728515625, 0.025238037109375, 0.0164642333984375, 0.599609375, 0.4013671875, -0.2342529296875, 0.404052734375, -0.32373046875, -0.5078125, -0.66796875, 0.615234375, 0.546875, -0.426513671875, -0.1015625, -0.28173828125, 0.01543426513671875, -0.8203125, 0.36962890625, -0.26025390625, -0.06475830078125, -0.405517578125, -0.48046875, 0.62109375, 1.16796875, -0.1898193359375, 0.281982421875, -0.0272369384765625, 0.315673828125, 0.3017578125, 0.611328125, -0.1151123046875, 0.4287109375, -0.17236328125, 0.0806884765625, -0.04150390625, 0.62158203125, -0.03179931640625, 0.2333984375, -0.27392578125, -0.7373046875, -0.9248046875, -0.2322998046875, 0.110595703125, 0.50927734375, 0.026641845703125, -0.3779296875, 0.01386260986328125, -0.042633056640625, -0.26318359375, 0.350830078125, -0.85986328125, -1.041015625, 0.2374267578125, -0.35107421875, -0.73046875, -0.282958984375, -0.60986328125, -0.0704345703125, 0.2408447265625, 0.338134765625, -0.5068359375, 0.58203125, 0.01202392578125, 0.73974609375, -0.289794921875, -0.2252197265625, -0.126708984375, 0.114501953125, -0.767578125, -0.53271484375, 0.1473388671875, 0.93359375, 0.20556640625, -0.401611328125, -0.572265625, 0.07086181640625, -0.2462158203125, 0.453125, -0.6953125, -0.07916259765625, -0.33447265625, 0.669921875, -0.8896484375, 0.2476806640625, 0.072021484375, 0.2822265625, 0.375, -0.4599609375, -0.83984375, 0.82275390625, 0.2042236328125, -0.26171875, 0.6533203125, 0.0650634765625, 0.57470703125, -0.093505859375, -0.1268310546875, -0.02947998046875, 0.8232421875, 0.33935546875, 0.5458984375, 0.112548828125, 0.6162109375, 0.460205078125, 0.21142578125, -0.467529296875, 0.755859375, 0.3017578125, 0.280517578125, 0.12310791015625, -0.1580810546875, -0.287841796875, 0.00986480712890625, -0.505859375, -0.025543212890625, -0.5302734375, -0.179931640625, -0.395263671875, -0.6416015625, 0.91015625, 0.0543212890625, -0.37060546875, 0.1773681640625, -0.410400390625, 0.212158203125, 0.76904296875, -0.1873779296875, -0.06097412109375, 0.9482421875, 0.92333984375, 0.2286376953125, 0.50048828125, 0.2568359375, 0.2093505859375, -0.419921875, 0.12646484375, 0.0770263671875, 0.1361083984375, -0.388916015625, -0.9072265625, -0.751953125, 0.546875, -0.058319091796875, -0.0599365234375, 0.6650390625, -0.444091796875, -0.1405029296875, -0.3720703125, 0.85888671875, -0.7841796875, 0.53369140625, 0.320556640625, 0.0009312629699707031, -0.6298828125, 0.591796875, -0.421875, 0.304931640625, 0.471435546875, 0.8115234375, -0.14453125, 1.6396484375, 0.097900390625, -0.1654052734375, -0.1549072265625, 0.450927734375, -0.29296875, -0.52294921875, -0.59033203125, -0.52978515625, -0.0217437744140625, -0.501953125, -0.48291015625, -0.06427001953125, 0.81494140625, -0.1280517578125, -0.93701171875, -0.1732177734375, 0.251220703125, -0.83740234375, 0.63134765625, 0.414794921875, 0.11083984375, 0.046630859375, -0.01010894775390625, 0.203857421875, -0.45458984375, 0.36083984375, -0.53515625, 0.67236328125, -0.72216796875, -0.4619140625, -0.5390625, -0.439208984375, -0.00542449951171875, 0.1712646484375, -0.37744140625, -0.84423828125, 0.2412109375, 0.490966796875, 0.294189453125, 0.053192138671875, -0.22998046875, 0.1236572265625, 1.150390625, 0.8037109375, -0.156494140625, 0.76513671875, 0.29541015625, -0.294677734375, 0.2529296875, -0.364013671875, 0.54638671875, 0.07122802734375, 0.0254974365234375, -0.31884765625, 0.272705078125, -0.90185546875, -1.494140625, -0.30029296875, 0.52685546875, 0.443115234375, -0.71142578125, -0.95556640625, -0.20068359375, -0.703125, -0.59814453125, -0.53369140625, 0.5751953125, -0.26123046875, -0.219970703125, -0.12335205078125, -1.3525390625, 4.3125, 0.82861328125, 0.810546875, 0.2244873046875, 0.265625, 1.04296875, 0.66064453125, -0.48583984375, 0.032073974609375, -0.42822265625, 0.303955078125, -0.7587890625, -0.15869140625, 0.96923828125, 0.285400390625, 0.56201171875, -0.482666015625, 0.70751953125, -0.1448974609375, -0.7705078125, -0.7939453125, 0.361083984375, 0.038909912109375, 0.8544921875, 0.250732421875, 0.317626953125, 0.1209716796875, -0.5947265625, -0.0199737548828125, -0.82177734375, 0.436279296875, -0.51318359375, 1.0537109375, -0.04327392578125, -0.07940673828125, 0.7001953125, 0.397705078125, -0.76171875, -0.298095703125, -0.1552734375, -0.107421875, -0.04022216796875, 0.69384765625, -0.75244140625, 0.033416748046875, 0.450927734375, -0.99365234375, 0.301513671875, 0.32373046875, -1.0546875, 0.84912109375, -0.7109375, 0.62451171875, -0.576171875, -0.60205078125, -0.0350341796875, 0.01535797119140625, -0.299072265625, -0.379638671875, 0.50341796875, 0.1312255859375, 0.1702880859375, 0.4091796875, 0.421875, -1.1171875, 0.6884765625, 0.049407958984375, 0.1788330078125, -0.5390625, -0.39990234375, 0.061859130859375, -0.0283966064453125, -0.2291259765625, -0.27197265625, 0.92724609375, 0.2274169921875, -0.6328125, 0.417236328125, 0.70361328125, -0.80322265625, 0.025665283203125, -0.368896484375, -0.21142578125, -0.323486328125, 0.662109375, 0.8369140625, -0.58251953125, -0.53369140625, -0.36181640625, 0.45849609375, 0.7333984375, 0.63232421875, -0.17529296875, -0.493408203125, -0.0098876953125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Tags: dp, implementation, strings Correct Solution: ``` s = input() n = len(s) s += '0000000000' dp = [[0] * 2 for i in range(n + 5)] dp[n] = [1, 1] res = set() for i in range(n - 1, 4, -1): if i + 2 <= n and ((dp[i + 2][0] and s[i: i + 2] != s[i + 2: i + 4]) or dp[i + 2][1]): res.add(s[i: i + 2]) dp[i][0] = 1 if i + 3 <= n and ((dp[i + 3][1] and s[i: i + 3] != s[i + 3: i + 6]) or dp[i + 3][0]): res.add(s[i: i + 3]) dp[i][1] = 1 print(len(res)) for ss in sorted(res): print(ss) ```
5,465
[ 0.231201171875, 0.058868408203125, 0.21435546875, 0.135009765625, -0.019073486328125, -0.1182861328125, 0.0758056640625, -0.32275390625, 0.318115234375, 0.60888671875, 1.2216796875, -0.4765625, 0.24609375, -1.0458984375, -0.6572265625, -0.29541015625, -0.463623046875, -0.7646484375, -0.6826171875, 0.0167236328125, 0.05279541015625, -0.2484130859375, -1.328125, 0.0137481689453125, -0.2186279296875, 1.0419921875, 0.56201171875, -0.157470703125, 1.1337890625, 0.90478515625, -0.451171875, -0.58447265625, 0.779296875, -1.1748046875, -0.463134765625, -0.13671875, 0.40625, -0.9091796875, 0.010528564453125, -0.43798828125, 0.273681640625, -0.8037109375, 0.4248046875, -0.54833984375, -0.8349609375, 0.31787109375, -0.296875, -0.426513671875, -0.131591796875, -0.7900390625, 0.32763671875, -0.0234375, 0.54541015625, -0.0906982421875, 0.03204345703125, -0.1654052734375, 0.10150146484375, -0.339111328125, -0.65234375, 0.5830078125, 0.22314453125, 0.480224609375, 0.28515625, -0.53515625, -0.062042236328125, 0.265625, -0.07568359375, -0.07318115234375, 0.2454833984375, -0.77734375, -0.135009765625, 0.1572265625, -0.1796875, -0.461181640625, -0.421630859375, -0.0634765625, 0.47998046875, -0.2318115234375, -0.5390625, 0.6328125, 0.256103515625, 1.125, 0.53125, 0.102783203125, -0.1895751953125, -0.59716796875, -0.1861572265625, 0.449951171875, 0.56201171875, 0.1722412109375, -0.313232421875, 0.65087890625, -0.9765625, -0.049591064453125, 0.9287109375, 0.339111328125, -0.61376953125, 0.473876953125, 0.252197265625, 0.5048828125, 1.08203125, 0.9267578125, -0.34765625, 0.9462890625, -0.6640625, 0.00798797607421875, 0.04974365234375, -0.0985107421875, 0.04217529296875, -0.1644287109375, -0.1258544921875, -0.01142120361328125, 0.46044921875, 0.2705078125, -0.53759765625, 1.13671875, -0.391357421875, 0.4072265625, -0.9912109375, 0.427001953125, 0.40380859375, 0.17919921875, 0.2413330078125, -0.260009765625, 0.1741943359375, -0.2222900390625, -0.68408203125, 1.21484375, -0.6787109375, 0.11090087890625, 0.345947265625, -0.1400146484375, -0.173828125, 0.308349609375, -0.0027408599853515625, 0.79296875, -0.30517578125, 0.6572265625, 0.73779296875, -0.6962890625, 0.99853515625, 0.01175689697265625, -0.470947265625, 1.5263671875, 0.357421875, 0.141845703125, 1.2158203125, -0.130615234375, -0.7646484375, 0.69873046875, -0.79638671875, 0.364501953125, 0.45947265625, 0.397705078125, -0.37353515625, 0.09332275390625, 0.130615234375, 0.214111328125, 0.5712890625, 0.330322265625, -0.434814453125, 0.44775390625, -0.00800323486328125, 0.822265625, -0.224853515625, 0.82861328125, -0.4501953125, -0.291015625, -0.1402587890625, -1.0078125, 0.17724609375, -0.19091796875, -0.022674560546875, 0.88232421875, 0.60205078125, 1.046875, 1.076171875, -0.1611328125, 0.5146484375, 0.16259765625, -0.3369140625, 0.1104736328125, 0.052276611328125, 0.58203125, 0.282470703125, 0.249267578125, -0.04229736328125, -0.45947265625, -0.7080078125, -0.55810546875, -0.10479736328125, 0.59912109375, -0.2939453125, 0.295654296875, -0.046905517578125, -0.037933349609375, -0.98583984375, 0.06402587890625, -0.09112548828125, -0.90673828125, -0.3388671875, 0.6435546875, -0.048553466796875, 0.78662109375, -0.2281494140625, -0.436767578125, 0.1282958984375, 0.978515625, -0.202880859375, 0.05975341796875, 0.5673828125, 0.1336669921875, -0.335205078125, 0.21875, 0.263916015625, -0.55517578125, -0.93115234375, 0.8427734375, -0.16357421875, 0.0577392578125, -0.33984375, 0.63037109375, 0.353515625, 0.35888671875, -0.060791015625, 0.1600341796875, 0.3671875, 1.17578125, 0.1700439453125, 0.6044921875, 0.12396240234375, 0.57373046875, 0.4091796875, 0.90625, 0.421630859375, 0.307861328125, 0.368408203125, 0.8544921875, 0.5009765625, 0.2386474609375, 0.10003662109375, 0.251953125, 0.50390625, 0.87158203125, 0.1622314453125, 0.451904296875, -0.0977783203125, -0.2646484375, -0.27392578125, 0.10955810546875, -0.340087890625, 0.66943359375, -0.120361328125, 0.5751953125, -0.40087890625, -0.066650390625, 0.2177734375, 0.95263671875, -0.98388671875, -0.5517578125, -0.13916015625, -0.0244140625, 0.2919921875, 0.33935546875, 0.53857421875, 0.22265625, 0.36962890625, 0.501953125, -0.338623046875, -0.2071533203125, -0.716796875, -0.60595703125, -0.97900390625, -0.42626953125, -1.0224609375, -0.045806884765625, 0.26220703125, -0.9013671875, 0.3994140625, -0.425048828125, -0.407470703125, 0.457763671875, -0.55419921875, 0.666015625, -0.40478515625, 0.853515625, -0.7490234375, 0.480224609375, -0.0092010498046875, 1.0205078125, -0.50830078125, -0.406982421875, 0.08465576171875, -0.6181640625, 0.412109375, 0.2235107421875, 0.71484375, -0.1302490234375, -0.72265625, -0.8857421875, -0.337646484375, 0.14990234375, -0.49609375, 0.2110595703125, -0.5009765625, 0.99169921875, 0.650390625, -0.186767578125, 0.9052734375, 1.111328125, -1.1982421875, 0.435302734375, 0.342041015625, -0.015777587890625, -0.87255859375, 1.42578125, 0.5322265625, 0.37548828125, -0.6904296875, -0.40283203125, -0.681640625, -0.033538818359375, 0.482177734375, -0.615234375, -0.15087890625, 0.50341796875, -0.07708740234375, -1.314453125, 0.373779296875, -1.1689453125, -0.436767578125, -0.76806640625, -0.240234375, 0.93994140625, 0.74951171875, 0.059356689453125, -0.58642578125, -0.3310546875, -0.30615234375, 0.53076171875, 0.56103515625, -0.3466796875, 0.29052734375, 0.66259765625, 0.09228515625, 0.245849609375, -0.301025390625, -0.407958984375, -0.139404296875, 0.1055908203125, 0.248291015625, 0.6025390625, -0.05096435546875, 0.254150390625, 0.1729736328125, 0.8125, -1.0244140625, -0.335205078125, -0.390869140625, 1.0029296875, 0.65625, 0.748046875, 0.425537109375, -0.6328125, -0.447998046875, -0.966796875, 0.8193359375, 0.2177734375, 0.90966796875, -0.6318359375, 0.6865234375, 0.3291015625, -0.85986328125, 0.45458984375, -0.54736328125, -0.1683349609375, 0.9169921875, -0.44775390625, 1.244140625, -0.360107421875, 0.31640625, -0.058319091796875, 0.2012939453125, 0.56689453125, 0.5126953125, 0.285888671875, -0.438232421875, -0.409912109375, -0.1763916015625, -0.0692138671875, -0.10186767578125, -0.71142578125, 0.3525390625, -0.232421875, -0.078125, -0.96728515625, 0.4306640625, 0.69091796875, 0.7841796875, -0.278564453125, 0.403564453125, 0.3994140625, 0.64453125, 0.47900390625, -0.1590576171875, 0.453857421875, -0.88720703125, 0.489501953125, 0.10711669921875, -0.48974609375, -0.69580078125, -0.486328125, -0.455810546875, 0.252685546875, -0.099609375, -0.1673583984375, -1.0966796875, 0.242431640625, -0.01068115234375, 0.38818359375, -0.9326171875, -0.0494384765625, -0.53662109375, 0.65380859375, 0.2412109375, -1.1005859375, 0.6669921875, -0.8720703125, 0.485107421875, 0.6279296875, 0.125, -0.40234375, -0.1923828125, -0.8271484375, -0.268310546875, -0.044189453125, 0.80419921875, -0.08209228515625, -0.025299072265625, -0.8994140625, 0.338134765625, 0.373291015625, -0.3125, -0.161865234375, -0.266845703125, 0.5419921875, -0.045501708984375, 1.1455078125, -0.5205078125, -0.982421875, 0.1236572265625, -0.96337890625, 0.261474609375, -0.71337890625, 0.38916015625, -0.015350341796875, 0.0227508544921875, 0.1630859375, 0.20751953125, -0.4736328125, 0.1297607421875, -0.1904296875, 0.1572265625, -0.759765625, -0.779296875, 0.634765625, -0.231201171875, -0.45849609375, 0.90576171875, 0.1646728515625, -0.427490234375, 0.154296875, 0.669921875, -0.3876953125, 0.292236328125, -0.65771484375, 0.327880859375, -0.3203125, -0.8916015625, -0.0361328125, -0.4306640625, 0.55908203125, 0.03460693359375, -1.1728515625, -0.11358642578125, -1.0029296875, -0.369873046875, -0.114990234375, -0.85693359375, 0.384033203125, 0.0284881591796875, -0.29541015625, 0.11572265625, -0.049102783203125, -0.56298828125, -0.497802734375, -0.46826171875, -0.32080078125, 0.395751953125, 0.59228515625, 1.19921875, 0.2037353515625, -0.313720703125, -0.442626953125, 0.2098388671875, 0.09613037109375, -0.6650390625, -0.42041015625, -0.049072265625, -0.09552001953125, -0.2254638671875, 0.2188720703125, -0.23828125, 0.173828125, 0.71728515625, 0.43359375, 0.292236328125, 0.09320068359375, -0.76904296875, 0.79931640625, 0.2255859375, -0.90966796875, -0.89013671875, 0.361572265625, 0.0635986328125, 0.76416015625, 0.372314453125, -0.439208984375, -0.83740234375, -1.0166015625, -0.018768310546875, -0.4716796875, -0.08642578125, -1.087890625, -0.51123046875, -0.299560546875, 0.529296875, 0.1436767578125, -0.0272369384765625, 0.048187255859375, -1.0771484375, -0.08074951171875, -0.4697265625, -0.2281494140625, -1.2744140625, -0.4375, -0.126708984375, 1.0478515625, 0.4951171875, 0.2099609375, 0.09954833984375, -0.109375, 0.09381103515625, -0.382568359375, -0.5341796875, -0.3046875, -0.10504150390625, 0.052459716796875, -0.442626953125, 0.156982421875, -0.53271484375, 0.85107421875, -0.82177734375, 0.0665283203125, -0.19873046875, -0.2152099609375, -0.3349609375, -0.289306640625, 1.2431640625, -0.257568359375, 0.0225982666015625, -0.3388671875, 0.71240234375, 0.99169921875, -0.5439453125, -0.305419921875, -0.8125, -0.7392578125, -1.0322265625, 0.53466796875, -0.78076171875, 0.01537322998046875, -0.65283203125, -0.314208984375, 1, -0.172119140625, 0.4794921875, 1.18359375, 0.0777587890625, 0.34765625, -0.6494140625, 0.826171875, 0.339599609375, -0.8408203125, -0.26318359375, -0.21044921875, -0.78564453125, 0.2744140625, -0.2191162109375, -1.0849609375, -0.4072265625, 0.46875, 1.3701171875, -0.065673828125, 1.0908203125, -0.1983642578125, -0.86767578125, -0.59912109375, 0.74560546875, 0.48193359375, 0.413818359375, 0.9482421875, 0.156494140625, -0.10284423828125, 0.01117706298828125, -0.03961181640625, -0.1490478515625, -0.25634765625, 1.181640625, -0.1536865234375, -0.66357421875, 0.387939453125, 0.83251953125, -1.1220703125, -0.78759765625, -0.25732421875, -0.234130859375, -0.56396484375, -0.58642578125, 0.5146484375, 0.41162109375, -0.5771484375, -0.1778564453125, 0.666015625, -0.425537109375, 0.330078125, 0.12353515625, 0.05438232421875, -0.369384765625, 0.396728515625, 0.29736328125, -0.55810546875, -0.424072265625, -0.444580078125, 0.08880615234375, -0.4091796875, 0.2294921875, 0.62451171875, -0.63623046875, -0.1373291015625, 0.2176513671875, -0.1541748046875, 0.763671875, -0.423095703125, -1.0078125, -0.06536865234375, -0.63232421875, -0.68994140625, -0.168701171875, 0.3984375, -0.256591796875, 0.537109375, -0.252197265625, -0.1851806640625, 0.274658203125, 0.259765625, -0.2030029296875, -1.197265625, -0.364501953125, -1.216796875, -0.432373046875, -0.521484375, -0.55615234375, -0.51171875, 0.21923828125, 0.302001953125, -0.6865234375, -0.030914306640625, 0.857421875, -0.33251953125, 0.9921875, -0.74755859375, 0.050872802734375, -0.5576171875, -0.8671875, -0.52490234375, 0.1326904296875, -0.06866455078125, 0.35986328125, -0.44873046875, 0.79248046875, -0.09637451171875, 0.2198486328125, -0.27587890625, 0.281005859375, -0.319580078125, -0.369873046875, 0.177734375, 0.0289459228515625, 0.0384521484375, 0.58203125, 0.398193359375, -0.22216796875, 0.4033203125, -0.342041015625, -0.46240234375, -0.65576171875, 0.6494140625, 0.57421875, -0.437255859375, -0.0955810546875, -0.29345703125, 0.0093536376953125, -0.80908203125, 0.386962890625, -0.28564453125, -0.07623291015625, -0.39892578125, -0.505859375, 0.6298828125, 1.1572265625, -0.19482421875, 0.275390625, -0.0181732177734375, 0.3349609375, 0.311279296875, 0.62109375, -0.11541748046875, 0.43994140625, -0.1788330078125, 0.07891845703125, -0.030517578125, 0.6044921875, -0.035125732421875, 0.2080078125, -0.25244140625, -0.74658203125, -0.94580078125, -0.236083984375, 0.1466064453125, 0.501953125, 0.02764892578125, -0.41455078125, 0.033966064453125, -0.02435302734375, -0.2333984375, 0.345458984375, -0.87109375, -1.0078125, 0.267822265625, -0.34814453125, -0.7216796875, -0.287353515625, -0.59716796875, -0.04058837890625, 0.248291015625, 0.352783203125, -0.494384765625, 0.55712890625, 0.01033782958984375, 0.74267578125, -0.296630859375, -0.242919921875, -0.141357421875, 0.13671875, -0.78173828125, -0.5361328125, 0.12200927734375, 0.9375, 0.2279052734375, -0.39892578125, -0.56201171875, 0.04998779296875, -0.260498046875, 0.42919921875, -0.65771484375, -0.07867431640625, -0.3173828125, 0.65869140625, -0.87744140625, 0.2301025390625, 0.07171630859375, 0.281494140625, 0.371826171875, -0.47412109375, -0.8759765625, 0.8291015625, 0.211181640625, -0.254638671875, 0.65869140625, 0.076171875, 0.56787109375, -0.11651611328125, -0.1251220703125, -0.0241851806640625, 0.82421875, 0.35498046875, 0.5478515625, 0.09637451171875, 0.6279296875, 0.453857421875, 0.2098388671875, -0.453369140625, 0.74072265625, 0.284423828125, 0.262451171875, 0.10723876953125, -0.158447265625, -0.2493896484375, -0.0139923095703125, -0.53662109375, -0.00980377197265625, -0.529296875, -0.19677734375, -0.3974609375, -0.6474609375, 0.90283203125, 0.07916259765625, -0.336669921875, 0.1541748046875, -0.415283203125, 0.18115234375, 0.7998046875, -0.181396484375, -0.0950927734375, 0.970703125, 0.89892578125, 0.261962890625, 0.51953125, 0.23828125, 0.176025390625, -0.4140625, 0.135986328125, 0.07891845703125, 0.09332275390625, -0.364990234375, -0.88427734375, -0.7734375, 0.54296875, -0.07073974609375, -0.06719970703125, 0.67626953125, -0.42578125, -0.1387939453125, -0.388916015625, 0.8583984375, -0.76416015625, 0.53125, 0.312744140625, -0.01360321044921875, -0.63818359375, 0.5966796875, -0.4296875, 0.288330078125, 0.451904296875, 0.8486328125, -0.1419677734375, 1.6796875, 0.1136474609375, -0.1700439453125, -0.140625, 0.448486328125, -0.296142578125, -0.51953125, -0.58544921875, -0.53759765625, -0.0252685546875, -0.521484375, -0.474365234375, -0.08038330078125, 0.830078125, -0.110107421875, -0.9345703125, -0.15966796875, 0.227294921875, -0.837890625, 0.6328125, 0.3994140625, 0.11810302734375, 0.041961669921875, 0.001476287841796875, 0.1876220703125, -0.457275390625, 0.35205078125, -0.53662109375, 0.66455078125, -0.73583984375, -0.4736328125, -0.54541015625, -0.47314453125, 0.00720977783203125, 0.184326171875, -0.381591796875, -0.84326171875, 0.248291015625, 0.4990234375, 0.285400390625, 0.052703857421875, -0.2347412109375, 0.11669921875, 1.1689453125, 0.81396484375, -0.1614990234375, 0.7568359375, 0.28759765625, -0.30810546875, 0.266845703125, -0.385986328125, 0.548828125, 0.0692138671875, 0.050323486328125, -0.320068359375, 0.266845703125, -0.9169921875, -1.4921875, -0.29833984375, 0.54736328125, 0.433837890625, -0.6943359375, -0.96533203125, -0.2386474609375, -0.7119140625, -0.58349609375, -0.5498046875, 0.5966796875, -0.283935546875, -0.2330322265625, -0.11480712890625, -1.3505859375, 4.30859375, 0.8349609375, 0.79736328125, 0.2366943359375, 0.230224609375, 1.03515625, 0.65869140625, -0.484619140625, 0.0276031494140625, -0.39892578125, 0.3173828125, -0.7353515625, -0.190185546875, 0.943359375, 0.28515625, 0.57275390625, -0.462646484375, 0.69970703125, -0.1497802734375, -0.75390625, -0.79833984375, 0.362548828125, 0.040374755859375, 0.8349609375, 0.257568359375, 0.2998046875, 0.1251220703125, -0.580078125, -0.006572723388671875, -0.7939453125, 0.451171875, -0.489501953125, 1.060546875, -0.0309906005859375, -0.05450439453125, 0.67138671875, 0.411865234375, -0.74462890625, -0.31787109375, -0.173095703125, -0.12164306640625, -0.041259765625, 0.70751953125, -0.7548828125, 0.023956298828125, 0.47998046875, -0.99267578125, 0.317138671875, 0.332763671875, -1.064453125, 0.84912109375, -0.70751953125, 0.63671875, -0.607421875, -0.61328125, -0.041473388671875, 0.02069091796875, -0.289794921875, -0.361083984375, 0.4736328125, 0.1383056640625, 0.167236328125, 0.42822265625, 0.408203125, -1.134765625, 0.69873046875, 0.07122802734375, 0.1800537109375, -0.53076171875, -0.3935546875, 0.034515380859375, -0.04290771484375, -0.2322998046875, -0.28271484375, 0.9384765625, 0.2548828125, -0.646484375, 0.416748046875, 0.70654296875, -0.8232421875, 0.0214691162109375, -0.380859375, -0.2034912109375, -0.320068359375, 0.65576171875, 0.83447265625, -0.57421875, -0.53759765625, -0.366943359375, 0.46484375, 0.75634765625, 0.63818359375, -0.17724609375, -0.52685546875, -0.0157928466796875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Tags: dp, implementation, strings Correct Solution: ``` __author__ = 'Utena' s=input() n=len(s) ans=set() if n<=6: print(0) exit(0) dp=[[False,False]for i in range(n+1)] if n>7: dp[3][1]=True ans.add(s[-3:]) dp[2][0]=True ans.add(s[-2:]) for i in range(4,n-4): if s[(-i):(-i+2)]!=s[(-i+2):(-i+3)]+s[-i+3]and dp[i-2][0] or dp[i-2][1]: dp[i][0]=True ans|={s[(-i):(-i+2)]} if i>=6 and s[(-i):(-i+3)]!=s[(-i+3):(-i+5)]+s[-i+5]and dp[i-3][1] or dp[i-3][0]: dp[i][1]=True ans.add(s[(-i):(-i+3)]) ans=sorted(list(ans)) print(len(ans)) print('\n'.join(ans)) ```
5,466
[ 0.2242431640625, 0.05047607421875, 0.1812744140625, 0.0706787109375, -0.0140228271484375, -0.0926513671875, 0.0616455078125, -0.329345703125, 0.28857421875, 0.60302734375, 1.24609375, -0.45263671875, 0.2353515625, -1.0732421875, -0.68017578125, -0.29541015625, -0.451416015625, -0.74609375, -0.67431640625, -0.005245208740234375, 0.05096435546875, -0.2437744140625, -1.3056640625, 0.024139404296875, -0.220458984375, 1.041015625, 0.57568359375, -0.11126708984375, 1.12109375, 0.90185546875, -0.416748046875, -0.56494140625, 0.7587890625, -1.177734375, -0.44921875, -0.136474609375, 0.4150390625, -0.86328125, 0.0418701171875, -0.462646484375, 0.26904296875, -0.7900390625, 0.423828125, -0.5498046875, -0.82470703125, 0.337646484375, -0.30029296875, -0.442626953125, -0.08258056640625, -0.8037109375, 0.3212890625, -0.05267333984375, 0.52734375, -0.113525390625, 0.060211181640625, -0.1785888671875, 0.10821533203125, -0.31396484375, -0.63720703125, 0.544921875, 0.27197265625, 0.480224609375, 0.271728515625, -0.5625, -0.03839111328125, 0.24658203125, -0.0703125, -0.1046142578125, 0.2607421875, -0.765625, -0.1402587890625, 0.1298828125, -0.1629638671875, -0.43212890625, -0.435791015625, -0.05804443359375, 0.494384765625, -0.255126953125, -0.51806640625, 0.646484375, 0.258056640625, 1.1416015625, 0.54150390625, 0.10247802734375, -0.2196044921875, -0.615234375, -0.19970703125, 0.47998046875, 0.5498046875, 0.1756591796875, -0.326904296875, 0.64599609375, -0.9921875, -0.0285797119140625, 0.908203125, 0.368408203125, -0.6298828125, 0.473876953125, 0.260498046875, 0.5205078125, 1.072265625, 0.93017578125, -0.3310546875, 0.966796875, -0.697265625, 0.048980712890625, 0.060333251953125, -0.1138916015625, 0.1055908203125, -0.1748046875, -0.1187744140625, -0.009979248046875, 0.484375, 0.28369140625, -0.5361328125, 1.1181640625, -0.433349609375, 0.402587890625, -1.01171875, 0.4345703125, 0.4013671875, 0.1593017578125, 0.2044677734375, -0.25830078125, 0.1524658203125, -0.26025390625, -0.7138671875, 1.2158203125, -0.65576171875, 0.0765380859375, 0.33203125, -0.135498046875, -0.1790771484375, 0.3154296875, -0.0301666259765625, 0.80029296875, -0.290771484375, 0.68115234375, 0.7529296875, -0.7138671875, 0.98583984375, 0.0243682861328125, -0.457275390625, 1.548828125, 0.37890625, 0.10662841796875, 1.232421875, -0.138916015625, -0.79296875, 0.701171875, -0.80322265625, 0.385498046875, 0.471435546875, 0.4033203125, -0.36962890625, 0.0966796875, 0.1363525390625, 0.201416015625, 0.57763671875, 0.32861328125, -0.43994140625, 0.45654296875, -0.0159759521484375, 0.802734375, -0.1962890625, 0.8173828125, -0.414306640625, -0.291748046875, -0.134765625, -1.02734375, 0.1795654296875, -0.1878662109375, -0.00638580322265625, 0.8798828125, 0.59814453125, 1.029296875, 1.0322265625, -0.142333984375, 0.525390625, 0.1510009765625, -0.34228515625, 0.116943359375, 0.058929443359375, 0.6044921875, 0.265380859375, 0.220703125, -0.05010986328125, -0.451416015625, -0.68603515625, -0.53515625, -0.11798095703125, 0.60888671875, -0.2861328125, 0.3056640625, -0.03631591796875, -0.0201873779296875, -1.0048828125, 0.0650634765625, -0.08233642578125, -0.9033203125, -0.336669921875, 0.64697265625, -0.07879638671875, 0.76318359375, -0.2227783203125, -0.468017578125, 0.11688232421875, 0.93701171875, -0.1732177734375, 0.06646728515625, 0.6083984375, 0.143798828125, -0.323486328125, 0.26416015625, 0.244873046875, -0.5625, -0.912109375, 0.84765625, -0.1673583984375, 0.060028076171875, -0.365234375, 0.59521484375, 0.335693359375, 0.353271484375, -0.07513427734375, 0.148681640625, 0.3876953125, 1.1923828125, 0.1282958984375, 0.57763671875, 0.1500244140625, 0.51416015625, 0.445556640625, 0.91748046875, 0.421142578125, 0.298828125, 0.36474609375, 0.806640625, 0.52783203125, 0.2181396484375, 0.1302490234375, 0.282958984375, 0.51953125, 0.91748046875, 0.15673828125, 0.412353515625, -0.08978271484375, -0.25927734375, -0.2442626953125, 0.1243896484375, -0.30810546875, 0.67236328125, -0.09124755859375, 0.58935546875, -0.419677734375, -0.071044921875, 0.2122802734375, 0.90283203125, -0.98388671875, -0.57373046875, -0.166259765625, -0.03924560546875, 0.292236328125, 0.349853515625, 0.53125, 0.22509765625, 0.392822265625, 0.52783203125, -0.301025390625, -0.2120361328125, -0.71630859375, -0.6220703125, -1.021484375, -0.43408203125, -1.01953125, -0.0287933349609375, 0.286865234375, -0.93408203125, 0.380615234375, -0.37109375, -0.406494140625, 0.451171875, -0.5732421875, 0.64306640625, -0.43115234375, 0.8818359375, -0.7607421875, 0.47607421875, -0.01361846923828125, 0.98291015625, -0.482666015625, -0.389892578125, 0.048736572265625, -0.6572265625, 0.407470703125, 0.20361328125, 0.705078125, -0.12255859375, -0.74609375, -0.87890625, -0.351318359375, 0.142822265625, -0.5009765625, 0.2352294921875, -0.47998046875, 0.97119140625, 0.66650390625, -0.193603515625, 0.89501953125, 1.103515625, -1.1845703125, 0.4462890625, 0.355224609375, -0.0416259765625, -0.86865234375, 1.43359375, 0.548828125, 0.373291015625, -0.68115234375, -0.426025390625, -0.67529296875, -0.05364990234375, 0.47802734375, -0.60302734375, -0.1671142578125, 0.464111328125, -0.08770751953125, -1.353515625, 0.362060546875, -1.1337890625, -0.472412109375, -0.76806640625, -0.232421875, 0.95849609375, 0.720703125, 0.039581298828125, -0.5908203125, -0.285400390625, -0.27197265625, 0.5107421875, 0.56494140625, -0.391357421875, 0.260986328125, 0.6650390625, 0.11651611328125, 0.2314453125, -0.26416015625, -0.387939453125, -0.136962890625, 0.1143798828125, 0.2440185546875, 0.61474609375, -0.04541015625, 0.24462890625, 0.16064453125, 0.80322265625, -0.99609375, -0.315185546875, -0.408447265625, 0.99462890625, 0.63232421875, 0.78173828125, 0.437255859375, -0.6748046875, -0.44384765625, -0.97802734375, 0.8427734375, 0.1998291015625, 0.92626953125, -0.63330078125, 0.6767578125, 0.330322265625, -0.88720703125, 0.4599609375, -0.529296875, -0.146728515625, 0.927734375, -0.454345703125, 1.220703125, -0.331298828125, 0.295654296875, -0.03558349609375, 0.2265625, 0.57958984375, 0.5078125, 0.260009765625, -0.427490234375, -0.43115234375, -0.1632080078125, -0.06817626953125, -0.1138916015625, -0.693359375, 0.35986328125, -0.23291015625, -0.0848388671875, -0.9755859375, 0.438232421875, 0.716796875, 0.79736328125, -0.251708984375, 0.434326171875, 0.4130859375, 0.64697265625, 0.45556640625, -0.1473388671875, 0.44580078125, -0.92041015625, 0.51416015625, 0.12200927734375, -0.486572265625, -0.703125, -0.5048828125, -0.470947265625, 0.267333984375, -0.07989501953125, -0.139404296875, -1.0966796875, 0.262939453125, -0.0216827392578125, 0.4296875, -0.94482421875, -0.051422119140625, -0.521484375, 0.65185546875, 0.224609375, -1.0830078125, 0.65478515625, -0.8779296875, 0.50830078125, 0.6123046875, 0.134765625, -0.420654296875, -0.1866455078125, -0.830078125, -0.29248046875, -0.06524658203125, 0.796875, -0.09613037109375, -0.037994384765625, -0.859375, 0.38427734375, 0.39697265625, -0.33251953125, -0.168701171875, -0.30712890625, 0.54052734375, -0.04534912109375, 1.1357421875, -0.54638671875, -0.9990234375, 0.15087890625, -0.98095703125, 0.2427978515625, -0.716796875, 0.41259765625, -0.041900634765625, 0.036376953125, 0.2022705078125, 0.20361328125, -0.46923828125, 0.113525390625, -0.2188720703125, 0.18505859375, -0.72802734375, -0.76611328125, 0.63916015625, -0.208740234375, -0.420166015625, 0.900390625, 0.1746826171875, -0.40673828125, 0.1749267578125, 0.62744140625, -0.39306640625, 0.297119140625, -0.619140625, 0.288818359375, -0.319091796875, -0.8818359375, -0.0261993408203125, -0.40966796875, 0.5966796875, 0.0267181396484375, -1.169921875, -0.112060546875, -1.0087890625, -0.365234375, -0.1240234375, -0.90576171875, 0.368408203125, 0.01299285888671875, -0.323974609375, 0.1053466796875, -0.0301666259765625, -0.595703125, -0.52001953125, -0.461669921875, -0.31494140625, 0.361328125, 0.57763671875, 1.171875, 0.1729736328125, -0.2568359375, -0.4609375, 0.2481689453125, 0.10516357421875, -0.673828125, -0.435791015625, -0.0304412841796875, -0.1214599609375, -0.2115478515625, 0.2227783203125, -0.258056640625, 0.197509765625, 0.68798828125, 0.396484375, 0.275146484375, 0.09783935546875, -0.775390625, 0.8095703125, 0.2001953125, -0.87158203125, -0.90185546875, 0.3642578125, 0.0845947265625, 0.77783203125, 0.35400390625, -0.444091796875, -0.87451171875, -1.0146484375, -0.04296875, -0.474853515625, -0.0704345703125, -1.1005859375, -0.48388671875, -0.296142578125, 0.56005859375, 0.139404296875, -0.006816864013671875, 0.07568359375, -1.1181640625, -0.0916748046875, -0.4619140625, -0.2420654296875, -1.283203125, -0.426025390625, -0.1041259765625, 1.0625, 0.492431640625, 0.24169921875, 0.126220703125, -0.1513671875, 0.09307861328125, -0.428466796875, -0.50390625, -0.293212890625, -0.13232421875, 0.0323486328125, -0.4560546875, 0.1739501953125, -0.533203125, 0.86083984375, -0.8525390625, 0.060211181640625, -0.1781005859375, -0.2286376953125, -0.338134765625, -0.280029296875, 1.25, -0.2587890625, 0.06768798828125, -0.34716796875, 0.7275390625, 0.97216796875, -0.55712890625, -0.302734375, -0.83642578125, -0.7490234375, -1.03515625, 0.56201171875, -0.78759765625, 0.012054443359375, -0.67919921875, -0.317138671875, 1.001953125, -0.18017578125, 0.4814453125, 1.1513671875, 0.09002685546875, 0.349609375, -0.6298828125, 0.828125, 0.343505859375, -0.8154296875, -0.2481689453125, -0.2296142578125, -0.775390625, 0.307861328125, -0.224853515625, -1.0986328125, -0.416259765625, 0.5341796875, 1.3447265625, -0.0841064453125, 1.08203125, -0.202880859375, -0.83837890625, -0.572265625, 0.74560546875, 0.495849609375, 0.388427734375, 0.951171875, 0.10894775390625, -0.07977294921875, 0.026885986328125, -0.03253173828125, -0.1331787109375, -0.2734375, 1.1748046875, -0.14990234375, -0.6533203125, 0.4130859375, 0.8203125, -1.11328125, -0.77978515625, -0.271240234375, -0.2215576171875, -0.55810546875, -0.56591796875, 0.50146484375, 0.435546875, -0.60791015625, -0.196533203125, 0.634765625, -0.479736328125, 0.33642578125, 0.082275390625, 0.053863525390625, -0.410400390625, 0.387451171875, 0.271484375, -0.55322265625, -0.43359375, -0.44384765625, 0.0849609375, -0.424560546875, 0.26806640625, 0.642578125, -0.6591796875, -0.12115478515625, 0.2142333984375, -0.1676025390625, 0.76708984375, -0.4482421875, -1, -0.0655517578125, -0.63232421875, -0.6875, -0.174072265625, 0.38037109375, -0.291748046875, 0.517578125, -0.2626953125, -0.1890869140625, 0.287841796875, 0.269775390625, -0.19921875, -1.1669921875, -0.376953125, -1.2099609375, -0.43310546875, -0.52490234375, -0.52001953125, -0.472412109375, 0.240234375, 0.296142578125, -0.6767578125, 0.0145416259765625, 0.86474609375, -0.315673828125, 1.01171875, -0.74169921875, 0.0692138671875, -0.56787109375, -0.85791015625, -0.54150390625, 0.127197265625, -0.049713134765625, 0.341064453125, -0.4541015625, 0.796875, -0.105712890625, 0.2296142578125, -0.259033203125, 0.257080078125, -0.33740234375, -0.353515625, 0.1961669921875, 0.032440185546875, 0.06536865234375, 0.5556640625, 0.397705078125, -0.2332763671875, 0.408447265625, -0.300048828125, -0.47998046875, -0.6806640625, 0.6484375, 0.60302734375, -0.455078125, -0.1142578125, -0.30712890625, 0.001209259033203125, -0.814453125, 0.372802734375, -0.25634765625, -0.08270263671875, -0.387451171875, -0.48681640625, 0.62060546875, 1.1552734375, -0.1817626953125, 0.271728515625, -0.03192138671875, 0.312744140625, 0.30322265625, 0.64794921875, -0.133056640625, 0.433837890625, -0.1734619140625, 0.07916259765625, -0.054779052734375, 0.6025390625, -0.040191650390625, 0.217529296875, -0.265380859375, -0.75390625, -0.9736328125, -0.203857421875, 0.1353759765625, 0.474853515625, 0.052398681640625, -0.408203125, 0.0262908935546875, -0.05224609375, -0.2353515625, 0.303955078125, -0.87158203125, -1.0439453125, 0.2498779296875, -0.3564453125, -0.70068359375, -0.284423828125, -0.57958984375, -0.043243408203125, 0.2357177734375, 0.340087890625, -0.49169921875, 0.5830078125, 0.038299560546875, 0.75732421875, -0.283447265625, -0.2279052734375, -0.138427734375, 0.127197265625, -0.76806640625, -0.5458984375, 0.11273193359375, 0.92431640625, 0.2286376953125, -0.360595703125, -0.56982421875, 0.048675537109375, -0.276611328125, 0.432861328125, -0.65234375, -0.0623779296875, -0.275634765625, 0.7080078125, -0.89794921875, 0.2205810546875, 0.076904296875, 0.2437744140625, 0.35546875, -0.462890625, -0.8828125, 0.8359375, 0.21728515625, -0.26904296875, 0.6611328125, 0.051605224609375, 0.58935546875, -0.11456298828125, -0.1287841796875, -0.0430908203125, 0.8037109375, 0.345947265625, 0.51416015625, 0.07684326171875, 0.63916015625, 0.46484375, 0.2012939453125, -0.45166015625, 0.7919921875, 0.319580078125, 0.270751953125, 0.1256103515625, -0.164794921875, -0.251220703125, 0.03662109375, -0.55029296875, 0.0180206298828125, -0.529296875, -0.1812744140625, -0.410888671875, -0.642578125, 0.916015625, 0.036163330078125, -0.34228515625, 0.124755859375, -0.427734375, 0.18603515625, 0.82958984375, -0.149658203125, -0.098876953125, 0.98876953125, 0.92626953125, 0.228515625, 0.489013671875, 0.2408447265625, 0.2080078125, -0.45068359375, 0.1162109375, 0.0870361328125, 0.1285400390625, -0.36962890625, -0.8681640625, -0.76611328125, 0.55517578125, -0.08453369140625, -0.061614990234375, 0.65625, -0.42529296875, -0.1318359375, -0.395263671875, 0.8271484375, -0.76171875, 0.55078125, 0.318115234375, -0.0136871337890625, -0.59814453125, 0.591796875, -0.385009765625, 0.30517578125, 0.442138671875, 0.79296875, -0.1485595703125, 1.67578125, 0.114990234375, -0.1805419921875, -0.14404296875, 0.44140625, -0.287841796875, -0.53076171875, -0.58349609375, -0.51953125, -0.0186614990234375, -0.47314453125, -0.465087890625, -0.0784912109375, 0.83642578125, -0.1307373046875, -0.94287109375, -0.171142578125, 0.24853515625, -0.849609375, 0.6533203125, 0.389404296875, 0.09759521484375, 0.0386962890625, -0.0073394775390625, 0.235107421875, -0.467529296875, 0.335693359375, -0.5595703125, 0.65283203125, -0.69140625, -0.476318359375, -0.587890625, -0.494140625, 0.031005859375, 0.1824951171875, -0.373046875, -0.8447265625, 0.233154296875, 0.4833984375, 0.2744140625, 0.00951385498046875, -0.252197265625, 0.135009765625, 1.1611328125, 0.84619140625, -0.136474609375, 0.76611328125, 0.29736328125, -0.305908203125, 0.257080078125, -0.386474609375, 0.55078125, 0.054168701171875, 0.049896240234375, -0.29443359375, 0.292236328125, -0.9189453125, -1.5, -0.3310546875, 0.51123046875, 0.46044921875, -0.7080078125, -0.97412109375, -0.2435302734375, -0.6611328125, -0.56787109375, -0.529296875, 0.568359375, -0.25341796875, -0.19873046875, -0.1273193359375, -1.3642578125, 4.3046875, 0.86767578125, 0.79833984375, 0.229736328125, 0.2398681640625, 1.0400390625, 0.64892578125, -0.5029296875, 0.0306549072265625, -0.40185546875, 0.30859375, -0.72998046875, -0.2066650390625, 0.96875, 0.26904296875, 0.56396484375, -0.487060546875, 0.68505859375, -0.17041015625, -0.767578125, -0.80126953125, 0.351806640625, 0.0182952880859375, 0.828125, 0.259765625, 0.291015625, 0.1553955078125, -0.54150390625, 0.00910186767578125, -0.80029296875, 0.42919921875, -0.515625, 1.044921875, -0.0063934326171875, -0.08831787109375, 0.693359375, 0.36083984375, -0.7451171875, -0.288818359375, -0.18994140625, -0.1136474609375, -0.06817626953125, 0.6845703125, -0.7236328125, 0.04638671875, 0.455322265625, -0.9794921875, 0.287109375, 0.37451171875, -1.0927734375, 0.845703125, -0.7060546875, 0.6494140625, -0.5791015625, -0.5986328125, -0.043792724609375, 0.006275177001953125, -0.268310546875, -0.374267578125, 0.4814453125, 0.1307373046875, 0.139404296875, 0.397705078125, 0.424560546875, -1.1240234375, 0.7080078125, 0.03936767578125, 0.1824951171875, -0.5419921875, -0.362548828125, 0.0416259765625, -0.022064208984375, -0.2529296875, -0.27978515625, 0.94873046875, 0.259521484375, -0.6611328125, 0.420166015625, 0.7041015625, -0.80126953125, 0.04119873046875, -0.4013671875, -0.2132568359375, -0.302978515625, 0.63134765625, 0.861328125, -0.51513671875, -0.51611328125, -0.401123046875, 0.49755859375, 0.76611328125, 0.63916015625, -0.1409912109375, -0.49755859375, -0.023406982421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Tags: dp, implementation, strings Correct Solution: ``` def main(): s = input()[5:] n = len(s) if n < 2: print(0) return res2, res3 = set(), set() dp2 = [False] * (n + 1) dp3 = [False] * (n + 1) dp2[-1] = dp3[-1] = True for i in range(n, 1, -1): if dp3[i] or dp2[i] and s[i - 2:i] != s[i:i + 2]: res2.add(s[i - 2:i]) dp2[i - 2] = True if dp2[i] or dp3[i] and s[i - 3:i] != s[i:i + 3]: res3.add(s[i - 3:i]) dp3[i - 3] = True res3.discard(s[i - 3:i]) res3.update(res2) print(len(res3)) for s in sorted(res3): print(s) if __name__ == '__main__': main() ```
5,467
[ 0.2364501953125, 0.0667724609375, 0.2027587890625, 0.09576416015625, 0.0018062591552734375, -0.10601806640625, 0.08209228515625, -0.326416015625, 0.31884765625, 0.60498046875, 1.23828125, -0.460693359375, 0.25146484375, -1.048828125, -0.654296875, -0.30126953125, -0.492431640625, -0.77099609375, -0.68310546875, 0.00146484375, 0.040924072265625, -0.242919921875, -1.3115234375, 0.008026123046875, -0.220458984375, 1.0302734375, 0.57080078125, -0.13330078125, 1.1259765625, 0.935546875, -0.448486328125, -0.58056640625, 0.76708984375, -1.2021484375, -0.47900390625, -0.135986328125, 0.41455078125, -0.92236328125, 0.002521514892578125, -0.462646484375, 0.284423828125, -0.7900390625, 0.415771484375, -0.57275390625, -0.84912109375, 0.32080078125, -0.283447265625, -0.44140625, -0.08917236328125, -0.7734375, 0.3193359375, -0.0169830322265625, 0.521484375, -0.11077880859375, 0.05401611328125, -0.1729736328125, 0.11114501953125, -0.333740234375, -0.6396484375, 0.560546875, 0.25341796875, 0.48388671875, 0.29248046875, -0.54296875, -0.052032470703125, 0.2469482421875, -0.0557861328125, -0.0789794921875, 0.2310791015625, -0.75830078125, -0.1683349609375, 0.143310546875, -0.1717529296875, -0.4609375, -0.4345703125, -0.06256103515625, 0.51171875, -0.2366943359375, -0.521484375, 0.642578125, 0.261474609375, 1.1484375, 0.525390625, 0.10675048828125, -0.1990966796875, -0.60205078125, -0.183837890625, 0.47998046875, 0.55126953125, 0.1632080078125, -0.32421875, 0.66015625, -1, -0.033782958984375, 0.91943359375, 0.333984375, -0.60498046875, 0.45361328125, 0.25244140625, 0.50439453125, 1.0693359375, 0.94140625, -0.35400390625, 0.9638671875, -0.66796875, 0.0214691162109375, 0.0457763671875, -0.1173095703125, 0.059600830078125, -0.1636962890625, -0.1317138671875, -0.0262603759765625, 0.4970703125, 0.28125, -0.525390625, 1.1376953125, -0.38818359375, 0.427490234375, -1.0205078125, 0.456787109375, 0.384765625, 0.18798828125, 0.2144775390625, -0.2509765625, 0.162109375, -0.231689453125, -0.70458984375, 1.2236328125, -0.68310546875, 0.1015625, 0.34375, -0.1370849609375, -0.1717529296875, 0.326171875, -0.027496337890625, 0.7861328125, -0.300537109375, 0.689453125, 0.7216796875, -0.71484375, 0.9921875, 0.018524169921875, -0.4580078125, 1.533203125, 0.374755859375, 0.1258544921875, 1.2177734375, -0.1552734375, -0.759765625, 0.6748046875, -0.79052734375, 0.369873046875, 0.475830078125, 0.400634765625, -0.38330078125, 0.10992431640625, 0.1177978515625, 0.1927490234375, 0.583984375, 0.326171875, -0.433349609375, 0.4658203125, -0.014251708984375, 0.8193359375, -0.2132568359375, 0.79638671875, -0.423095703125, -0.267333984375, -0.13427734375, -1.0087890625, 0.173583984375, -0.1888427734375, -0.0167236328125, 0.8779296875, 0.5986328125, 1.0439453125, 1.06640625, -0.158203125, 0.5263671875, 0.1634521484375, -0.347900390625, 0.1031494140625, 0.048126220703125, 0.60302734375, 0.273193359375, 0.2344970703125, -0.02398681640625, -0.46484375, -0.68701171875, -0.548828125, -0.1168212890625, 0.60888671875, -0.299072265625, 0.30078125, -0.04736328125, -0.0260467529296875, -0.97509765625, 0.06793212890625, -0.104736328125, -0.89697265625, -0.3330078125, 0.66552734375, -0.05377197265625, 0.77197265625, -0.2379150390625, -0.411376953125, 0.13232421875, 0.958984375, -0.19482421875, 0.06402587890625, 0.56591796875, 0.1396484375, -0.33154296875, 0.244873046875, 0.264404296875, -0.55419921875, -0.92529296875, 0.841796875, -0.15673828125, 0.040252685546875, -0.337890625, 0.609375, 0.341064453125, 0.373779296875, -0.04156494140625, 0.1553955078125, 0.348388671875, 1.1787109375, 0.158203125, 0.6103515625, 0.127685546875, 0.54833984375, 0.41796875, 0.8828125, 0.42431640625, 0.307373046875, 0.36181640625, 0.84423828125, 0.52294921875, 0.2320556640625, 0.12176513671875, 0.238037109375, 0.51904296875, 0.892578125, 0.1424560546875, 0.4326171875, -0.085205078125, -0.267333984375, -0.2802734375, 0.0960693359375, -0.328369140625, 0.669921875, -0.10687255859375, 0.5791015625, -0.3984375, -0.06610107421875, 0.231689453125, 0.9453125, -0.97998046875, -0.5341796875, -0.1485595703125, -0.03680419921875, 0.285888671875, 0.3388671875, 0.529296875, 0.25634765625, 0.36474609375, 0.51318359375, -0.349853515625, -0.221923828125, -0.7353515625, -0.599609375, -0.99658203125, -0.427734375, -0.99853515625, -0.0460205078125, 0.25830078125, -0.908203125, 0.38427734375, -0.429443359375, -0.40966796875, 0.468505859375, -0.5869140625, 0.66015625, -0.40966796875, 0.85693359375, -0.76025390625, 0.447509765625, -0.0019989013671875, 1.0234375, -0.50634765625, -0.422119140625, 0.077880859375, -0.62109375, 0.412109375, 0.2210693359375, 0.69970703125, -0.129150390625, -0.7333984375, -0.86474609375, -0.34912109375, 0.151611328125, -0.5068359375, 0.232177734375, -0.51220703125, 0.9873046875, 0.64892578125, -0.2054443359375, 0.9072265625, 1.1142578125, -1.1982421875, 0.438720703125, 0.344482421875, -0.03729248046875, -0.853515625, 1.4013671875, 0.541015625, 0.357666015625, -0.67236328125, -0.388916015625, -0.6875, -0.0313720703125, 0.4814453125, -0.62646484375, -0.14892578125, 0.50732421875, -0.08807373046875, -1.337890625, 0.353759765625, -1.1455078125, -0.465576171875, -0.78857421875, -0.2198486328125, 0.95263671875, 0.73583984375, 0.0733642578125, -0.56884765625, -0.28759765625, -0.283203125, 0.5400390625, 0.5673828125, -0.35400390625, 0.328857421875, 0.6513671875, 0.09710693359375, 0.24072265625, -0.270751953125, -0.376953125, -0.12493896484375, 0.12353515625, 0.26318359375, 0.63525390625, -0.043212890625, 0.257568359375, 0.1693115234375, 0.8154296875, -1.0166015625, -0.304931640625, -0.38037109375, 1.0146484375, 0.64892578125, 0.763671875, 0.418212890625, -0.63671875, -0.424560546875, -0.966796875, 0.8203125, 0.231689453125, 0.91748046875, -0.626953125, 0.685546875, 0.307373046875, -0.8447265625, 0.439453125, -0.52392578125, -0.1632080078125, 0.9013671875, -0.404052734375, 1.2587890625, -0.33642578125, 0.31103515625, -0.06915283203125, 0.22314453125, 0.54638671875, 0.5068359375, 0.268798828125, -0.426513671875, -0.400146484375, -0.20458984375, -0.0640869140625, -0.11798095703125, -0.712890625, 0.37451171875, -0.22119140625, -0.08782958984375, -0.95654296875, 0.4287109375, 0.70068359375, 0.78076171875, -0.2822265625, 0.41455078125, 0.372802734375, 0.640625, 0.455322265625, -0.1741943359375, 0.4345703125, -0.9013671875, 0.478759765625, 0.1029052734375, -0.5068359375, -0.724609375, -0.483642578125, -0.45068359375, 0.2471923828125, -0.1025390625, -0.1612548828125, -1.0830078125, 0.2452392578125, -0.00720977783203125, 0.402587890625, -0.95166015625, -0.050537109375, -0.53662109375, 0.6513671875, 0.25244140625, -1.0703125, 0.6640625, -0.88671875, 0.48583984375, 0.62548828125, 0.122802734375, -0.411865234375, -0.197509765625, -0.8173828125, -0.2763671875, -0.06353759765625, 0.80224609375, -0.078125, -0.025421142578125, -0.875, 0.348876953125, 0.36328125, -0.302734375, -0.1873779296875, -0.284912109375, 0.52294921875, -0.0267791748046875, 1.1474609375, -0.53173828125, -0.98193359375, 0.1348876953125, -0.97021484375, 0.2578125, -0.70361328125, 0.397216796875, -0.028717041015625, 0.029327392578125, 0.1607666015625, 0.2064208984375, -0.48388671875, 0.11578369140625, -0.208251953125, 0.1573486328125, -0.75, -0.78759765625, 0.6328125, -0.2342529296875, -0.438720703125, 0.9169921875, 0.16015625, -0.409912109375, 0.15673828125, 0.66552734375, -0.39404296875, 0.281005859375, -0.66357421875, 0.31689453125, -0.31396484375, -0.91650390625, -0.020477294921875, -0.419677734375, 0.55810546875, 0.0224151611328125, -1.162109375, -0.12127685546875, -0.99072265625, -0.372802734375, -0.10791015625, -0.8583984375, 0.390625, 0.02996826171875, -0.273193359375, 0.08514404296875, -0.05511474609375, -0.57470703125, -0.50830078125, -0.470458984375, -0.298828125, 0.365478515625, 0.57177734375, 1.1845703125, 0.1822509765625, -0.30224609375, -0.471923828125, 0.255615234375, 0.09564208984375, -0.66845703125, -0.443359375, -0.0654296875, -0.10601806640625, -0.2208251953125, 0.2188720703125, -0.2493896484375, 0.1881103515625, 0.71337890625, 0.426025390625, 0.26708984375, 0.10516357421875, -0.7685546875, 0.798828125, 0.2071533203125, -0.892578125, -0.89111328125, 0.357177734375, 0.058258056640625, 0.75341796875, 0.371826171875, -0.4296875, -0.857421875, -1.0078125, -0.054962158203125, -0.46435546875, -0.07354736328125, -1.072265625, -0.48828125, -0.28173828125, 0.5302734375, 0.1484375, -0.027130126953125, 0.03802490234375, -1.0927734375, -0.091552734375, -0.458740234375, -0.2486572265625, -1.267578125, -0.442626953125, -0.1260986328125, 1.041015625, 0.505859375, 0.224609375, 0.09136962890625, -0.10919189453125, 0.09454345703125, -0.412841796875, -0.5146484375, -0.292236328125, -0.1114501953125, 0.04913330078125, -0.443115234375, 0.16162109375, -0.53173828125, 0.845703125, -0.8203125, 0.06048583984375, -0.205078125, -0.2052001953125, -0.3310546875, -0.28759765625, 1.234375, -0.2587890625, 0.0219268798828125, -0.3466796875, 0.74658203125, 0.98681640625, -0.568359375, -0.2841796875, -0.8076171875, -0.73828125, -1.0390625, 0.55029296875, -0.78271484375, 0.0118865966796875, -0.66748046875, -0.31103515625, 1.0341796875, -0.166259765625, 0.4716796875, 1.171875, 0.07537841796875, 0.335693359375, -0.642578125, 0.830078125, 0.33740234375, -0.8291015625, -0.274658203125, -0.2093505859375, -0.78662109375, 0.3115234375, -0.201416015625, -1.083984375, -0.389892578125, 0.482421875, 1.376953125, -0.07757568359375, 1.0869140625, -0.2000732421875, -0.8447265625, -0.59130859375, 0.7490234375, 0.50537109375, 0.405029296875, 0.9423828125, 0.1568603515625, -0.08544921875, 0.00644683837890625, -0.0399169921875, -0.14453125, -0.260009765625, 1.1875, -0.123046875, -0.6630859375, 0.38037109375, 0.845703125, -1.1123046875, -0.78857421875, -0.264892578125, -0.24560546875, -0.55859375, -0.5654296875, 0.5107421875, 0.392822265625, -0.56884765625, -0.18310546875, 0.65966796875, -0.435546875, 0.3291015625, 0.10748291015625, 0.026275634765625, -0.39990234375, 0.38818359375, 0.273681640625, -0.560546875, -0.420654296875, -0.4375, 0.09918212890625, -0.416015625, 0.23095703125, 0.6259765625, -0.62548828125, -0.12384033203125, 0.2264404296875, -0.1722412109375, 0.77587890625, -0.421875, -1.021484375, -0.07171630859375, -0.623046875, -0.68994140625, -0.1766357421875, 0.388427734375, -0.265380859375, 0.5146484375, -0.253173828125, -0.1917724609375, 0.274658203125, 0.267822265625, -0.1907958984375, -1.1728515625, -0.365966796875, -1.2080078125, -0.43505859375, -0.537109375, -0.5361328125, -0.533203125, 0.211669921875, 0.2900390625, -0.66845703125, -0.0208740234375, 0.8779296875, -0.33740234375, 0.9873046875, -0.74072265625, 0.06951904296875, -0.5439453125, -0.88232421875, -0.5283203125, 0.145263671875, -0.06170654296875, 0.37939453125, -0.459228515625, 0.78271484375, -0.1102294921875, 0.2298583984375, -0.261962890625, 0.283935546875, -0.345703125, -0.3828125, 0.205810546875, 0.0312042236328125, 0.0379638671875, 0.5556640625, 0.384765625, -0.2431640625, 0.41748046875, -0.334228515625, -0.48095703125, -0.677734375, 0.642578125, 0.5517578125, -0.42138671875, -0.0933837890625, -0.30126953125, -0.01395416259765625, -0.80029296875, 0.371826171875, -0.267822265625, -0.061065673828125, -0.392578125, -0.492919921875, 0.619140625, 1.166015625, -0.17919921875, 0.266845703125, -0.0223388671875, 0.343505859375, 0.30517578125, 0.609375, -0.11322021484375, 0.4404296875, -0.1763916015625, 0.08929443359375, -0.030242919921875, 0.6201171875, -0.0611572265625, 0.2091064453125, -0.266845703125, -0.72998046875, -0.93798828125, -0.2362060546875, 0.1444091796875, 0.477294921875, 0.015594482421875, -0.416748046875, 0.042633056640625, -0.07269287109375, -0.2127685546875, 0.32763671875, -0.869140625, -1.0224609375, 0.2607421875, -0.350830078125, -0.70654296875, -0.27685546875, -0.591796875, -0.049285888671875, 0.2393798828125, 0.352294921875, -0.5029296875, 0.57666015625, 0.025848388671875, 0.755859375, -0.27587890625, -0.2281494140625, -0.1343994140625, 0.12139892578125, -0.77197265625, -0.544921875, 0.1502685546875, 0.9091796875, 0.215087890625, -0.387939453125, -0.56201171875, 0.04742431640625, -0.274169921875, 0.426513671875, -0.6484375, -0.08416748046875, -0.331298828125, 0.66357421875, -0.8798828125, 0.219970703125, 0.0640869140625, 0.268798828125, 0.367431640625, -0.47216796875, -0.884765625, 0.82080078125, 0.2159423828125, -0.258544921875, 0.654296875, 0.06768798828125, 0.5693359375, -0.10260009765625, -0.1392822265625, -0.0413818359375, 0.81640625, 0.34130859375, 0.5263671875, 0.10870361328125, 0.6298828125, 0.45654296875, 0.2042236328125, -0.46923828125, 0.76416015625, 0.312744140625, 0.274658203125, 0.09295654296875, -0.1490478515625, -0.243408203125, -0.02398681640625, -0.54052734375, 0.003467559814453125, -0.52001953125, -0.200439453125, -0.402587890625, -0.6611328125, 0.908203125, 0.058258056640625, -0.358642578125, 0.1500244140625, -0.41259765625, 0.171142578125, 0.81005859375, -0.1856689453125, -0.085205078125, 0.96044921875, 0.8935546875, 0.2447509765625, 0.498291015625, 0.2327880859375, 0.1859130859375, -0.416259765625, 0.1514892578125, 0.07666015625, 0.1060791015625, -0.386962890625, -0.8828125, -0.7646484375, 0.5595703125, -0.064208984375, -0.07177734375, 0.67431640625, -0.42138671875, -0.151611328125, -0.41455078125, 0.82080078125, -0.73876953125, 0.53759765625, 0.33203125, -0.0022945404052734375, -0.62744140625, 0.59423828125, -0.418701171875, 0.28173828125, 0.45458984375, 0.82861328125, -0.137939453125, 1.6669921875, 0.1016845703125, -0.18115234375, -0.1502685546875, 0.43408203125, -0.278564453125, -0.5458984375, -0.58984375, -0.53662109375, -0.025299072265625, -0.5205078125, -0.47998046875, -0.0703125, 0.80078125, -0.1280517578125, -0.92822265625, -0.1673583984375, 0.2376708984375, -0.84814453125, 0.64501953125, 0.41796875, 0.10150146484375, 0.050628662109375, 0.00583648681640625, 0.2103271484375, -0.43359375, 0.3623046875, -0.56982421875, 0.6630859375, -0.72021484375, -0.473388671875, -0.53076171875, -0.466796875, 0.0211334228515625, 0.17431640625, -0.3896484375, -0.84814453125, 0.2249755859375, 0.484130859375, 0.292236328125, 0.0299224853515625, -0.253173828125, 0.12078857421875, 1.1796875, 0.81640625, -0.1461181640625, 0.76171875, 0.289794921875, -0.31884765625, 0.25927734375, -0.38916015625, 0.55419921875, 0.066162109375, 0.034820556640625, -0.294677734375, 0.2734375, -0.89697265625, -1.5107421875, -0.28759765625, 0.544921875, 0.440673828125, -0.69140625, -0.95703125, -0.2196044921875, -0.7041015625, -0.5810546875, -0.51904296875, 0.59228515625, -0.2490234375, -0.2337646484375, -0.138671875, -1.3544921875, 4.31640625, 0.841796875, 0.79931640625, 0.2452392578125, 0.2265625, 1.0361328125, 0.64404296875, -0.469482421875, 0.0498046875, -0.37255859375, 0.302734375, -0.75146484375, -0.192138671875, 0.9482421875, 0.259521484375, 0.56884765625, -0.468017578125, 0.7138671875, -0.1790771484375, -0.7509765625, -0.81494140625, 0.361083984375, 0.048919677734375, 0.82177734375, 0.25390625, 0.275390625, 0.1270751953125, -0.576171875, -0.0021820068359375, -0.806640625, 0.44482421875, -0.5087890625, 1.044921875, -0.029205322265625, -0.057098388671875, 0.6982421875, 0.382568359375, -0.74462890625, -0.31005859375, -0.1673583984375, -0.1351318359375, -0.09320068359375, 0.697265625, -0.72216796875, 0.03704833984375, 0.50146484375, -1.0068359375, 0.3037109375, 0.34130859375, -1.0341796875, 0.83349609375, -0.69921875, 0.63818359375, -0.6064453125, -0.59033203125, -0.0290374755859375, 0.016876220703125, -0.287841796875, -0.38037109375, 0.497314453125, 0.1285400390625, 0.16845703125, 0.41162109375, 0.41650390625, -1.125, 0.68896484375, 0.07489013671875, 0.17919921875, -0.54296875, -0.39697265625, 0.0565185546875, -0.04046630859375, -0.2408447265625, -0.2802734375, 0.93115234375, 0.23876953125, -0.64111328125, 0.426513671875, 0.70947265625, -0.818359375, 0.023529052734375, -0.37451171875, -0.2265625, -0.307373046875, 0.64892578125, 0.82958984375, -0.54833984375, -0.533203125, -0.371337890625, 0.4970703125, 0.7734375, 0.642578125, -0.136962890625, -0.487060546875, 0.02166748046875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Tags: dp, implementation, strings Correct Solution: ``` def getPossibleSuffixes(s): if len(s) == 5: print(0) return possible_suffixes = s[5:len(s)] suffixes = [] helper_hash = {} suffix_starts = [0 for x in range(len(possible_suffixes))] prev_2 = ["" for x in range(len(possible_suffixes))] suffix_starts[-1] = 1 for i in range(len(possible_suffixes)-2, -1, -1): if suffix_starts[i+1] and prev_2[i+1] != possible_suffixes[i:i+2]: if not helper_hash.get(possible_suffixes[i:i+2]): suffixes.append(possible_suffixes[i:i+2]) helper_hash[possible_suffixes[i:i+2]] = True if i-1>=0: prev_2[i-1] = possible_suffixes[i:i+2] suffix_starts[i-1] = 1 if i+2 < len(possible_suffixes) and suffix_starts[i+2] and prev_2[i+2] != possible_suffixes[i:i+3]: if not helper_hash.get(possible_suffixes[i:i+3]): suffixes.append(possible_suffixes[i:i+3]) helper_hash[possible_suffixes[i:i+3]] = True if i-1>=0: if prev_2[i-1] != "": prev_2[i-1] = "" else: prev_2[i-1] = possible_suffixes[i:i+3] suffix_starts[i-1] = 1 print(len(suffixes)) suffixes.sort() for suffix in suffixes: print(suffix) s = input() getPossibleSuffixes(s) ```
5,468
[ 0.2119140625, 0.048187255859375, 0.17236328125, 0.1336669921875, -0.0193939208984375, -0.09466552734375, 0.0277557373046875, -0.3193359375, 0.386962890625, 0.62451171875, 1.3359375, -0.529296875, 0.325439453125, -1.0595703125, -0.6474609375, -0.229248046875, -0.495849609375, -0.72998046875, -0.662109375, -0.0070037841796875, 0.07470703125, -0.314453125, -1.3203125, 0.0020771026611328125, -0.19482421875, 0.99169921875, 0.5673828125, -0.11468505859375, 1.1220703125, 0.99609375, -0.51806640625, -0.58154296875, 0.740234375, -1.212890625, -0.496337890625, -0.11126708984375, 0.3935546875, -0.8974609375, 0.05792236328125, -0.4931640625, 0.288330078125, -0.8349609375, 0.451416015625, -0.5771484375, -0.8857421875, 0.27880859375, -0.331298828125, -0.399658203125, -0.040863037109375, -0.79736328125, 0.258056640625, -0.032867431640625, 0.5322265625, -0.12274169921875, 0.0926513671875, -0.126708984375, 0.150390625, -0.364501953125, -0.64453125, 0.56640625, 0.224365234375, 0.51904296875, 0.250244140625, -0.515625, -0.05865478515625, 0.276123046875, -0.09075927734375, -0.06329345703125, 0.2232666015625, -0.724609375, -0.12371826171875, 0.12164306640625, -0.1903076171875, -0.5185546875, -0.437255859375, -0.045806884765625, 0.484130859375, -0.23828125, -0.54150390625, 0.693359375, 0.233154296875, 1.171875, 0.56396484375, 0.096923828125, -0.1929931640625, -0.59765625, -0.20361328125, 0.472900390625, 0.626953125, 0.1480712890625, -0.34716796875, 0.6728515625, -0.9560546875, -0.05706787109375, 0.892578125, 0.3134765625, -0.59375, 0.4892578125, 0.2396240234375, 0.466064453125, 1.001953125, 0.9169921875, -0.310791015625, 0.958984375, -0.67236328125, 0.042022705078125, 0.129638671875, -0.052886962890625, 0.054901123046875, -0.136474609375, -0.185546875, -0.035064697265625, 0.52880859375, 0.27294921875, -0.482421875, 1.0517578125, -0.467529296875, 0.380126953125, -1.0078125, 0.475341796875, 0.36328125, 0.19873046875, 0.22900390625, -0.1856689453125, 0.1484375, -0.202392578125, -0.736328125, 1.2548828125, -0.67822265625, 0.131103515625, 0.3671875, -0.1539306640625, -0.11724853515625, 0.356689453125, -0.057830810546875, 0.755859375, -0.27978515625, 0.67626953125, 0.6513671875, -0.70556640625, 1.03125, 0.004364013671875, -0.475830078125, 1.505859375, 0.3642578125, 0.143310546875, 1.2578125, -0.1622314453125, -0.771484375, 0.6826171875, -0.78466796875, 0.35546875, 0.51025390625, 0.336669921875, -0.371826171875, 0.134033203125, 0.1199951171875, 0.16796875, 0.66650390625, 0.339599609375, -0.39013671875, 0.43603515625, -0.03082275390625, 0.80322265625, -0.223388671875, 0.74365234375, -0.38232421875, -0.2425537109375, -0.07421875, -1.033203125, 0.12200927734375, -0.16455078125, -0.04595947265625, 0.90771484375, 0.6259765625, 1.0673828125, 1.017578125, -0.175537109375, 0.54345703125, 0.10382080078125, -0.3203125, 0.109130859375, 0.072021484375, 0.5263671875, 0.316650390625, 0.2261962890625, -0.06439208984375, -0.48828125, -0.70654296875, -0.58203125, -0.112548828125, 0.54833984375, -0.2783203125, 0.2744140625, -0.06884765625, -0.026153564453125, -0.970703125, 0.038970947265625, -0.0853271484375, -0.8779296875, -0.357421875, 0.6708984375, -0.07867431640625, 0.74560546875, -0.2401123046875, -0.430419921875, 0.1260986328125, 0.95751953125, -0.1676025390625, 0.0762939453125, 0.5302734375, 0.10931396484375, -0.345947265625, 0.2169189453125, 0.26611328125, -0.52783203125, -0.85986328125, 0.89208984375, -0.1995849609375, 0.034698486328125, -0.32763671875, 0.65673828125, 0.3828125, 0.37353515625, -0.0227508544921875, 0.17236328125, 0.376953125, 1.2021484375, 0.146728515625, 0.5888671875, 0.1246337890625, 0.609375, 0.464111328125, 0.84130859375, 0.41259765625, 0.3203125, 0.38525390625, 0.85400390625, 0.56982421875, 0.20947265625, 0.0914306640625, 0.252685546875, 0.5498046875, 0.9150390625, 0.1317138671875, 0.428955078125, -0.11083984375, -0.2103271484375, -0.28076171875, 0.11431884765625, -0.361572265625, 0.67236328125, -0.1259765625, 0.607421875, -0.406005859375, -0.1373291015625, 0.2236328125, 0.93017578125, -0.99462890625, -0.5146484375, -0.134765625, -0.0302734375, 0.302490234375, 0.347900390625, 0.57177734375, 0.253662109375, 0.421630859375, 0.55322265625, -0.31689453125, -0.225830078125, -0.701171875, -0.55712890625, -0.947265625, -0.453369140625, -1.0341796875, -0.0133056640625, 0.24609375, -0.9150390625, 0.375244140625, -0.38916015625, -0.45263671875, 0.475830078125, -0.59765625, 0.6708984375, -0.429931640625, 0.892578125, -0.732421875, 0.483642578125, -0.0030231475830078125, 1.0234375, -0.413818359375, -0.44921875, 0.04034423828125, -0.638671875, 0.412353515625, 0.2034912109375, 0.7021484375, -0.1519775390625, -0.71142578125, -0.85205078125, -0.369140625, 0.11212158203125, -0.5166015625, 0.2025146484375, -0.53564453125, 0.978515625, 0.69482421875, -0.173828125, 0.9404296875, 1.1826171875, -1.177734375, 0.4638671875, 0.30712890625, -0.0273590087890625, -0.84765625, 1.3505859375, 0.53857421875, 0.33935546875, -0.67822265625, -0.356689453125, -0.65185546875, -0.07977294921875, 0.48876953125, -0.65625, -0.15576171875, 0.495849609375, -0.1295166015625, -1.3486328125, 0.3701171875, -1.1357421875, -0.45361328125, -0.80126953125, -0.23193359375, 0.98583984375, 0.734375, 0.03173828125, -0.58984375, -0.344482421875, -0.28955078125, 0.55517578125, 0.5556640625, -0.3876953125, 0.27099609375, 0.60986328125, 0.097900390625, 0.238525390625, -0.269287109375, -0.396240234375, -0.10174560546875, 0.1180419921875, 0.2939453125, 0.70361328125, -0.0046539306640625, 0.2607421875, 0.19140625, 0.86669921875, -0.94921875, -0.25390625, -0.3359375, 1.091796875, 0.65625, 0.73388671875, 0.4208984375, -0.63818359375, -0.4287109375, -0.9619140625, 0.83642578125, 0.201171875, 0.931640625, -0.61669921875, 0.66796875, 0.264892578125, -0.84375, 0.446533203125, -0.476318359375, -0.1776123046875, 0.87158203125, -0.442626953125, 1.26171875, -0.2890625, 0.305419921875, -0.1190185546875, 0.24365234375, 0.5234375, 0.505859375, 0.2890625, -0.360107421875, -0.4462890625, -0.232177734375, -0.10577392578125, -0.2034912109375, -0.7216796875, 0.416015625, -0.2451171875, -0.11553955078125, -0.93408203125, 0.421630859375, 0.7373046875, 0.75390625, -0.212646484375, 0.39501953125, 0.39013671875, 0.67529296875, 0.47900390625, -0.1982421875, 0.387939453125, -0.90380859375, 0.509765625, 0.05792236328125, -0.498046875, -0.7158203125, -0.4462890625, -0.420166015625, 0.2415771484375, -0.1259765625, -0.190185546875, -1.037109375, 0.228271484375, 0.007404327392578125, 0.405517578125, -0.9638671875, -0.093505859375, -0.5244140625, 0.62841796875, 0.275146484375, -1.0751953125, 0.658203125, -0.85302734375, 0.51904296875, 0.6171875, 0.16552734375, -0.431884765625, -0.2027587890625, -0.7919921875, -0.33203125, -0.066162109375, 0.8330078125, -0.0352783203125, -0.049560546875, -0.90234375, 0.381591796875, 0.375244140625, -0.314453125, -0.19580078125, -0.326171875, 0.58447265625, -0.05029296875, 1.15625, -0.57177734375, -1.0302734375, 0.1397705078125, -0.98681640625, 0.278564453125, -0.73046875, 0.400146484375, -0.02264404296875, 0.006633758544921875, 0.1478271484375, 0.22705078125, -0.46533203125, 0.11529541015625, -0.239013671875, 0.1634521484375, -0.7763671875, -0.76513671875, 0.609375, -0.253173828125, -0.422119140625, 0.90087890625, 0.255126953125, -0.375244140625, 0.1822509765625, 0.6572265625, -0.3896484375, 0.2076416015625, -0.68017578125, 0.250244140625, -0.36083984375, -0.95263671875, -0.004573822021484375, -0.431640625, 0.6416015625, 0.05035400390625, -1.1708984375, -0.154296875, -0.98876953125, -0.343505859375, -0.09478759765625, -0.8740234375, 0.39892578125, -0.0014562606811523438, -0.301025390625, 0.1131591796875, -0.1370849609375, -0.5302734375, -0.50341796875, -0.43359375, -0.21533203125, 0.335205078125, 0.59912109375, 1.158203125, 0.2445068359375, -0.290771484375, -0.5302734375, 0.270751953125, 0.12548828125, -0.67529296875, -0.50830078125, -0.0882568359375, -0.132080078125, -0.22265625, 0.2359619140625, -0.1947021484375, 0.149169921875, 0.67138671875, 0.441162109375, 0.34521484375, 0.1171875, -0.7265625, 0.76611328125, 0.1883544921875, -0.9345703125, -0.91064453125, 0.349609375, 0.02215576171875, 0.74853515625, 0.3896484375, -0.394287109375, -0.818359375, -1.0283203125, -0.0271759033203125, -0.48876953125, -0.066650390625, -1.10546875, -0.477783203125, -0.32421875, 0.54833984375, 0.1669921875, -0.045257568359375, 0.0660400390625, -1.068359375, -0.1563720703125, -0.47216796875, -0.289794921875, -1.2685546875, -0.486083984375, -0.10430908203125, 1.0712890625, 0.45751953125, 0.27001953125, 0.035675048828125, -0.12744140625, 0.0821533203125, -0.4375, -0.44970703125, -0.30517578125, -0.10589599609375, 0.061614990234375, -0.4775390625, 0.09552001953125, -0.51904296875, 0.89306640625, -0.86669921875, 0.0921630859375, -0.25634765625, -0.1939697265625, -0.281982421875, -0.2017822265625, 1.201171875, -0.215087890625, 0.042724609375, -0.352294921875, 0.79150390625, 0.935546875, -0.54931640625, -0.32177734375, -0.78515625, -0.75732421875, -1.0400390625, 0.55859375, -0.71533203125, 0.074951171875, -0.658203125, -0.334716796875, 1.02734375, -0.1092529296875, 0.5244140625, 1.130859375, 0.1038818359375, 0.339111328125, -0.638671875, 0.76513671875, 0.353515625, -0.8193359375, -0.3076171875, -0.1915283203125, -0.79931640625, 0.33447265625, -0.199951171875, -1.060546875, -0.38232421875, 0.49560546875, 1.3466796875, -0.11395263671875, 1.10546875, -0.2303466796875, -0.837890625, -0.5498046875, 0.728515625, 0.482177734375, 0.38623046875, 0.96533203125, 0.10174560546875, -0.1162109375, -0.0279083251953125, -0.05926513671875, -0.1656494140625, -0.263916015625, 1.1513671875, -0.1614990234375, -0.6669921875, 0.4423828125, 0.81689453125, -1.0966796875, -0.7890625, -0.2626953125, -0.245361328125, -0.591796875, -0.57373046875, 0.5263671875, 0.41455078125, -0.57177734375, -0.165283203125, 0.6435546875, -0.463134765625, 0.35009765625, 0.087646484375, 0.0148162841796875, -0.40576171875, 0.3505859375, 0.30224609375, -0.5654296875, -0.4306640625, -0.396240234375, 0.090087890625, -0.468505859375, 0.292236328125, 0.6015625, -0.65478515625, -0.1395263671875, 0.283203125, -0.1865234375, 0.7646484375, -0.42529296875, -0.98583984375, -0.0672607421875, -0.62646484375, -0.7421875, -0.1422119140625, 0.3564453125, -0.254638671875, 0.49462890625, -0.26220703125, -0.160400390625, 0.287109375, 0.3037109375, -0.2041015625, -1.19140625, -0.39111328125, -1.2021484375, -0.45361328125, -0.53564453125, -0.50390625, -0.572265625, 0.2457275390625, 0.279541015625, -0.728515625, 0.01300811767578125, 0.88916015625, -0.282470703125, 0.97314453125, -0.77099609375, 0.09454345703125, -0.493896484375, -0.87548828125, -0.52197265625, 0.123779296875, -0.0521240234375, 0.3505859375, -0.5166015625, 0.8310546875, -0.07708740234375, 0.28173828125, -0.310791015625, 0.283447265625, -0.35107421875, -0.371826171875, 0.2239990234375, 0.0208282470703125, 0.03204345703125, 0.5478515625, 0.40185546875, -0.208251953125, 0.41064453125, -0.314453125, -0.466796875, -0.6728515625, 0.66015625, 0.5615234375, -0.363525390625, -0.09033203125, -0.292724609375, -0.003154754638671875, -0.8095703125, 0.395751953125, -0.25146484375, -0.06060791015625, -0.365478515625, -0.40283203125, 0.60888671875, 1.1962890625, -0.1771240234375, 0.282470703125, -0.020965576171875, 0.281494140625, 0.337646484375, 0.62255859375, -0.139404296875, 0.4443359375, -0.196044921875, 0.08758544921875, -0.04864501953125, 0.59912109375, -0.03448486328125, 0.22900390625, -0.31640625, -0.720703125, -0.97998046875, -0.244384765625, 0.1676025390625, 0.432373046875, 0.0679931640625, -0.3515625, 0.0217437744140625, -0.10089111328125, -0.2471923828125, 0.378173828125, -0.8369140625, -1.0185546875, 0.3193359375, -0.37646484375, -0.77978515625, -0.302978515625, -0.60107421875, -0.050323486328125, 0.1890869140625, 0.348876953125, -0.483642578125, 0.62109375, 0.018646240234375, 0.76220703125, -0.253173828125, -0.240234375, -0.18701171875, 0.153564453125, -0.76513671875, -0.56591796875, 0.20166015625, 0.8974609375, 0.23095703125, -0.3818359375, -0.56103515625, 0.09136962890625, -0.21826171875, 0.43896484375, -0.61865234375, -0.1318359375, -0.378173828125, 0.68701171875, -0.89794921875, 0.22119140625, 0.06256103515625, 0.267578125, 0.36328125, -0.47021484375, -0.8857421875, 0.84130859375, 0.2039794921875, -0.28662109375, 0.63623046875, 0.1373291015625, 0.56591796875, -0.10504150390625, -0.157470703125, -0.036590576171875, 0.81005859375, 0.388671875, 0.50732421875, 0.1353759765625, 0.68798828125, 0.42626953125, 0.208984375, -0.47314453125, 0.77587890625, 0.343994140625, 0.264892578125, 0.10235595703125, -0.15966796875, -0.2415771484375, -0.05419921875, -0.556640625, 0.0232086181640625, -0.5498046875, -0.154541015625, -0.38134765625, -0.66162109375, 0.9326171875, 0.01218414306640625, -0.33251953125, 0.140869140625, -0.4306640625, 0.11065673828125, 0.81396484375, -0.2030029296875, -0.11798095703125, 0.9326171875, 0.90283203125, 0.18798828125, 0.52392578125, 0.205810546875, 0.2032470703125, -0.439453125, 0.1607666015625, 0.07208251953125, 0.10467529296875, -0.4677734375, -0.958984375, -0.75634765625, 0.51025390625, -0.05718994140625, -0.07232666015625, 0.681640625, -0.403564453125, -0.12371826171875, -0.3623046875, 0.814453125, -0.71484375, 0.48828125, 0.334228515625, 0.01001739501953125, -0.60986328125, 0.5791015625, -0.375244140625, 0.300048828125, 0.404052734375, 0.7958984375, -0.1517333984375, 1.6669921875, 0.14453125, -0.187255859375, -0.093017578125, 0.460205078125, -0.300537109375, -0.56787109375, -0.61572265625, -0.5654296875, -0.01554107666015625, -0.51953125, -0.50048828125, -0.106689453125, 0.87109375, -0.1624755859375, -0.9423828125, -0.263916015625, 0.265869140625, -0.83056640625, 0.69287109375, 0.41064453125, 0.050201416015625, 0.021392822265625, 0.0120086669921875, 0.1614990234375, -0.423095703125, 0.333984375, -0.583984375, 0.6044921875, -0.72900390625, -0.429443359375, -0.51806640625, -0.457275390625, 0.0270538330078125, 0.162109375, -0.34814453125, -0.80517578125, 0.2161865234375, 0.483642578125, 0.325927734375, -0.0132293701171875, -0.220458984375, 0.170654296875, 1.173828125, 0.79345703125, -0.1864013671875, 0.751953125, 0.27392578125, -0.3154296875, 0.310791015625, -0.368408203125, 0.58251953125, 0.025421142578125, 0.005603790283203125, -0.29638671875, 0.3134765625, -0.97998046875, -1.494140625, -0.32275390625, 0.55908203125, 0.499267578125, -0.6611328125, -0.98046875, -0.2332763671875, -0.69580078125, -0.5556640625, -0.55029296875, 0.54736328125, -0.2315673828125, -0.2666015625, -0.1734619140625, -1.3955078125, 4.29296875, 0.837890625, 0.8232421875, 0.22802734375, 0.2373046875, 1.015625, 0.6298828125, -0.468505859375, 0.1065673828125, -0.45458984375, 0.323974609375, -0.689453125, -0.18505859375, 0.9697265625, 0.2783203125, 0.5830078125, -0.46337890625, 0.6689453125, -0.176513671875, -0.783203125, -0.75732421875, 0.33837890625, 0.044830322265625, 0.861328125, 0.237548828125, 0.367919921875, 0.1287841796875, -0.57666015625, -0.06109619140625, -0.80419921875, 0.434326171875, -0.53369140625, 1.041015625, -0.025909423828125, -0.07476806640625, 0.703125, 0.346435546875, -0.74853515625, -0.341064453125, -0.1295166015625, -0.12481689453125, -0.0928955078125, 0.68115234375, -0.73681640625, 0.0254058837890625, 0.5068359375, -1.0458984375, 0.269287109375, 0.392822265625, -1.0078125, 0.771484375, -0.7451171875, 0.64013671875, -0.658203125, -0.59765625, 0.00402069091796875, -0.03533935546875, -0.2900390625, -0.34521484375, 0.489013671875, 0.140869140625, 0.1947021484375, 0.4091796875, 0.424072265625, -1.150390625, 0.6728515625, 0.08306884765625, 0.1641845703125, -0.55908203125, -0.39208984375, 0.09112548828125, -0.0919189453125, -0.230224609375, -0.331298828125, 0.92919921875, 0.25732421875, -0.6005859375, 0.437744140625, 0.63623046875, -0.8427734375, 0.08563232421875, -0.358642578125, -0.250732421875, -0.35009765625, 0.6357421875, 0.865234375, -0.59814453125, -0.60107421875, -0.40087890625, 0.58251953125, 0.79833984375, 0.6923828125, -0.1571044921875, -0.46826171875, -0.027923583984375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Tags: dp, implementation, strings Correct Solution: ``` string = input() s = set() finded = {} import sys sys.setrecursionlimit(900000000) def get_substr(string, start, parent): # базовый случай if start >= len(string): return if start+1 < len(string): substr = string[start:start+2] # проверим не та же ли это строка if substr != parent: s.add(substr) if (start+2, 2) not in finded: get_substr(string, start+2, substr) finded[(start+2, 2)] = True if start+2 < len(string): substr = string[start:start+3] # проверим не та же ли это строка if substr != parent: s.add(substr) if (start+3, 3) not in finded: get_substr(string, start+3, substr) finded[(start+3, 3)] = True get_substr(string[5:][::-1], 0, "") print(len(s)) ans = [] for i in s: ans.append(i[::-1]) for a in sorted(ans): print(a) ```
5,469
[ 0.205078125, 0.05413818359375, 0.2279052734375, 0.11846923828125, -0.0105743408203125, -0.087158203125, 0.0443115234375, -0.341064453125, 0.294677734375, 0.6005859375, 1.2333984375, -0.476318359375, 0.251708984375, -1.0390625, -0.65673828125, -0.312744140625, -0.50146484375, -0.736328125, -0.71728515625, 0.00875091552734375, 0.08660888671875, -0.2274169921875, -1.330078125, 0.03533935546875, -0.24267578125, 1.03125, 0.544921875, -0.1168212890625, 1.1396484375, 0.958984375, -0.434814453125, -0.55322265625, 0.75927734375, -1.173828125, -0.44921875, -0.1876220703125, 0.388427734375, -0.900390625, -0.0208892822265625, -0.482666015625, 0.2919921875, -0.79833984375, 0.40625, -0.54296875, -0.86572265625, 0.295654296875, -0.284912109375, -0.4267578125, -0.080810546875, -0.76806640625, 0.33642578125, 0.00977325439453125, 0.5107421875, -0.09661865234375, 0.04669189453125, -0.1766357421875, 0.10540771484375, -0.322265625, -0.6494140625, 0.53515625, 0.2144775390625, 0.475830078125, 0.302001953125, -0.489990234375, -0.022186279296875, 0.267822265625, -0.0604248046875, -0.09661865234375, 0.2442626953125, -0.7373046875, -0.1513671875, 0.1815185546875, -0.1351318359375, -0.482177734375, -0.41845703125, -0.08074951171875, 0.53857421875, -0.203369140625, -0.51171875, 0.66650390625, 0.27099609375, 1.1982421875, 0.541015625, 0.1217041015625, -0.1663818359375, -0.56640625, -0.1663818359375, 0.448486328125, 0.51904296875, 0.1839599609375, -0.335205078125, 0.630859375, -0.95166015625, -0.0229339599609375, 0.900390625, 0.32568359375, -0.62890625, 0.394775390625, 0.28125, 0.52197265625, 1.0693359375, 0.92822265625, -0.386474609375, 0.9697265625, -0.6162109375, -0.00412750244140625, 0.0753173828125, -0.12249755859375, 0.022125244140625, -0.12646484375, -0.0877685546875, 0.02716064453125, 0.47998046875, 0.281982421875, -0.53271484375, 1.12890625, -0.38134765625, 0.429931640625, -0.98828125, 0.447998046875, 0.371337890625, 0.19384765625, 0.252685546875, -0.264892578125, 0.1348876953125, -0.18701171875, -0.71875, 1.19921875, -0.66015625, 0.08868408203125, 0.306884765625, -0.1534423828125, -0.1614990234375, 0.30078125, -0.0009284019470214844, 0.779296875, -0.33447265625, 0.68017578125, 0.7216796875, -0.73486328125, 1.02734375, -0.007266998291015625, -0.4912109375, 1.556640625, 0.3779296875, 0.109130859375, 1.224609375, -0.078125, -0.7587890625, 0.68603515625, -0.7802734375, 0.370849609375, 0.473876953125, 0.409912109375, -0.371826171875, 0.11749267578125, 0.1209716796875, 0.2349853515625, 0.5791015625, 0.35400390625, -0.490966796875, 0.450927734375, -0.0031604766845703125, 0.81689453125, -0.1597900390625, 0.79345703125, -0.44384765625, -0.2958984375, -0.10760498046875, -0.97509765625, 0.1883544921875, -0.252685546875, -0.021392822265625, 0.88037109375, 0.59228515625, 0.99609375, 1.072265625, -0.14404296875, 0.49658203125, 0.2191162109375, -0.40673828125, 0.09893798828125, 0.05340576171875, 0.5517578125, 0.30908203125, 0.22802734375, -0.0018463134765625, -0.47314453125, -0.7353515625, -0.57421875, -0.08148193359375, 0.60009765625, -0.302734375, 0.287353515625, -0.0400390625, -0.0601806640625, -1.0517578125, 0.052337646484375, -0.09771728515625, -0.86669921875, -0.346923828125, 0.6376953125, -0.0369873046875, 0.74755859375, -0.2069091796875, -0.443603515625, 0.10736083984375, 0.98681640625, -0.20654296875, 0.05859375, 0.5615234375, 0.13330078125, -0.41357421875, 0.2452392578125, 0.275146484375, -0.556640625, -0.92236328125, 0.845703125, -0.152099609375, 0.048614501953125, -0.333740234375, 0.6455078125, 0.353759765625, 0.38671875, -0.0521240234375, 0.2044677734375, 0.36669921875, 1.171875, 0.1844482421875, 0.64111328125, 0.1412353515625, 0.5595703125, 0.3642578125, 0.85107421875, 0.32861328125, 0.30908203125, 0.353271484375, 0.8486328125, 0.486083984375, 0.2271728515625, 0.1392822265625, 0.23291015625, 0.46728515625, 0.90966796875, 0.15478515625, 0.44677734375, -0.0782470703125, -0.308349609375, -0.319580078125, 0.05523681640625, -0.366455078125, 0.6728515625, -0.153076171875, 0.548828125, -0.384033203125, -0.09222412109375, 0.2071533203125, 0.9560546875, -1.005859375, -0.5126953125, -0.154541015625, -0.03839111328125, 0.282470703125, 0.34912109375, 0.52392578125, 0.228759765625, 0.39599609375, 0.51318359375, -0.3076171875, -0.2027587890625, -0.70458984375, -0.59912109375, -0.94384765625, -0.425537109375, -0.998046875, -0.022979736328125, 0.260009765625, -0.912109375, 0.423095703125, -0.422119140625, -0.369873046875, 0.437744140625, -0.5732421875, 0.6513671875, -0.44189453125, 0.88134765625, -0.755859375, 0.401611328125, -0.0153961181640625, 1.0732421875, -0.5, -0.422119140625, 0.10516357421875, -0.60595703125, 0.38818359375, 0.244384765625, 0.70947265625, -0.1578369140625, -0.6953125, -0.8671875, -0.413330078125, 0.152099609375, -0.5078125, 0.251220703125, -0.4716796875, 0.96533203125, 0.60546875, -0.2266845703125, 0.9208984375, 1.142578125, -1.2177734375, 0.418701171875, 0.3544921875, -0.0172882080078125, -0.86572265625, 1.3896484375, 0.46435546875, 0.3701171875, -0.66259765625, -0.41064453125, -0.681640625, -0.039642333984375, 0.462646484375, -0.57275390625, -0.149169921875, 0.481201171875, -0.1397705078125, -1.3349609375, 0.365966796875, -1.1484375, -0.4228515625, -0.80810546875, -0.2152099609375, 0.9638671875, 0.72265625, 0.10369873046875, -0.576171875, -0.30322265625, -0.333740234375, 0.5234375, 0.5654296875, -0.34228515625, 0.317626953125, 0.65576171875, 0.11444091796875, 0.23974609375, -0.254150390625, -0.416748046875, -0.156005859375, 0.089111328125, 0.251953125, 0.59423828125, -0.032470703125, 0.28759765625, 0.1488037109375, 0.798828125, -1.0087890625, -0.31103515625, -0.373291015625, 0.9775390625, 0.69189453125, 0.7548828125, 0.40234375, -0.615234375, -0.41015625, -1.009765625, 0.830078125, 0.256591796875, 0.92431640625, -0.61572265625, 0.6435546875, 0.33740234375, -0.875, 0.44970703125, -0.56005859375, -0.1446533203125, 0.87890625, -0.448486328125, 1.26953125, -0.327392578125, 0.294677734375, -0.04522705078125, 0.2205810546875, 0.5458984375, 0.5185546875, 0.2724609375, -0.4228515625, -0.38427734375, -0.2254638671875, -0.0787353515625, -0.09808349609375, -0.7216796875, 0.403564453125, -0.2010498046875, -0.0718994140625, -0.96728515625, 0.419189453125, 0.71240234375, 0.7919921875, -0.267333984375, 0.468017578125, 0.322265625, 0.63330078125, 0.493408203125, -0.1854248046875, 0.464599609375, -0.87451171875, 0.492431640625, 0.1226806640625, -0.47265625, -0.6962890625, -0.49462890625, -0.424072265625, 0.263916015625, -0.09661865234375, -0.145263671875, -1.1005859375, 0.1966552734375, -0.034271240234375, 0.3603515625, -0.9677734375, -0.0259552001953125, -0.6005859375, 0.57275390625, 0.235595703125, -1.0859375, 0.6396484375, -0.8759765625, 0.482666015625, 0.62109375, 0.12353515625, -0.3935546875, -0.2127685546875, -0.82177734375, -0.307861328125, -0.06353759765625, 0.76220703125, -0.057769775390625, -0.0235595703125, -0.87841796875, 0.33642578125, 0.35498046875, -0.279296875, -0.1387939453125, -0.2626953125, 0.5634765625, -0.0201416015625, 1.0869140625, -0.484619140625, -0.9736328125, 0.1123046875, -0.96728515625, 0.241455078125, -0.70849609375, 0.4033203125, 0.005283355712890625, 0.0667724609375, 0.1571044921875, 0.2335205078125, -0.493896484375, 0.18896484375, -0.2137451171875, 0.1614990234375, -0.7783203125, -0.78759765625, 0.64697265625, -0.268310546875, -0.4462890625, 0.9150390625, 0.204345703125, -0.4208984375, 0.1612548828125, 0.6611328125, -0.375732421875, 0.273193359375, -0.67529296875, 0.310302734375, -0.280517578125, -0.93408203125, -0.0743408203125, -0.43115234375, 0.5927734375, -0.005329132080078125, -1.19140625, -0.1068115234375, -1.001953125, -0.35400390625, -0.1099853515625, -0.8515625, 0.38720703125, -0.01436614990234375, -0.279052734375, 0.1126708984375, -0.02484130859375, -0.57568359375, -0.469970703125, -0.48828125, -0.2978515625, 0.36962890625, 0.58251953125, 1.177734375, 0.1763916015625, -0.364990234375, -0.43115234375, 0.2298583984375, 0.0567626953125, -0.638671875, -0.464599609375, -0.03302001953125, -0.13134765625, -0.2333984375, 0.221923828125, -0.267822265625, 0.2069091796875, 0.69287109375, 0.445068359375, 0.280029296875, 0.12420654296875, -0.7490234375, 0.79296875, 0.239990234375, -0.9111328125, -0.86181640625, 0.37646484375, 0.0224456787109375, 0.74267578125, 0.325439453125, -0.41552734375, -0.80322265625, -0.94580078125, -0.00322723388671875, -0.448486328125, -0.058563232421875, -1.0859375, -0.52587890625, -0.31982421875, 0.51708984375, 0.1549072265625, -0.01009368896484375, 0.07037353515625, -1.0478515625, -0.10284423828125, -0.453369140625, -0.2208251953125, -1.2939453125, -0.4501953125, -0.07818603515625, 1.0751953125, 0.48095703125, 0.2198486328125, 0.06744384765625, -0.11712646484375, 0.10498046875, -0.388916015625, -0.515625, -0.2403564453125, -0.10577392578125, 0.06744384765625, -0.44970703125, 0.1451416015625, -0.490966796875, 0.79296875, -0.80126953125, 0.084716796875, -0.1837158203125, -0.1810302734375, -0.305908203125, -0.2392578125, 1.2666015625, -0.261962890625, 0.01206207275390625, -0.347900390625, 0.74951171875, 0.96533203125, -0.50048828125, -0.266845703125, -0.798828125, -0.6962890625, -1.068359375, 0.52099609375, -0.775390625, 0.031646728515625, -0.6494140625, -0.31640625, 1.052734375, -0.171875, 0.49462890625, 1.16015625, 0.10601806640625, 0.316650390625, -0.59375, 0.81298828125, 0.353759765625, -0.85595703125, -0.283203125, -0.1649169921875, -0.77392578125, 0.32666015625, -0.2008056640625, -1.1044921875, -0.399658203125, 0.456787109375, 1.388671875, -0.046722412109375, 1.1279296875, -0.23486328125, -0.85986328125, -0.55126953125, 0.74169921875, 0.461181640625, 0.4296875, 0.90869140625, 0.1446533203125, -0.0972900390625, 0.053802490234375, -0.041412353515625, -0.11468505859375, -0.24853515625, 1.154296875, -0.1397705078125, -0.65625, 0.411865234375, 0.8564453125, -1.1513671875, -0.81689453125, -0.29931640625, -0.232177734375, -0.52783203125, -0.57666015625, 0.469970703125, 0.367919921875, -0.5634765625, -0.188720703125, 0.63330078125, -0.436767578125, 0.330810546875, 0.0902099609375, 0.037872314453125, -0.418212890625, 0.43212890625, 0.284423828125, -0.5380859375, -0.40087890625, -0.446533203125, 0.0899658203125, -0.4453125, 0.216552734375, 0.6376953125, -0.634765625, -0.09991455078125, 0.2244873046875, -0.1434326171875, 0.7958984375, -0.412841796875, -0.99755859375, -0.058990478515625, -0.65576171875, -0.68115234375, -0.1304931640625, 0.375, -0.30126953125, 0.49365234375, -0.2442626953125, -0.2154541015625, 0.273681640625, 0.299560546875, -0.2293701171875, -1.1943359375, -0.351806640625, -1.1962890625, -0.424072265625, -0.4873046875, -0.55810546875, -0.5107421875, 0.189697265625, 0.28662109375, -0.669921875, -0.04541015625, 0.86474609375, -0.353515625, 0.9541015625, -0.75048828125, 0.03997802734375, -0.52880859375, -0.8427734375, -0.5537109375, 0.1455078125, -0.0833740234375, 0.34375, -0.401611328125, 0.7802734375, -0.135498046875, 0.2047119140625, -0.246337890625, 0.290771484375, -0.3359375, -0.364501953125, 0.20947265625, -0.0016326904296875, -0.015228271484375, 0.61181640625, 0.400634765625, -0.208251953125, 0.40087890625, -0.319580078125, -0.476806640625, -0.67626953125, 0.6044921875, 0.51708984375, -0.413818359375, -0.1229248046875, -0.30517578125, -0.0126800537109375, -0.82421875, 0.379150390625, -0.26806640625, -0.09820556640625, -0.4228515625, -0.4580078125, 0.61962890625, 1.13671875, -0.18115234375, 0.25927734375, 0.014068603515625, 0.302001953125, 0.2802734375, 0.57373046875, -0.11248779296875, 0.427490234375, -0.2244873046875, 0.078857421875, -0.047210693359375, 0.60888671875, -0.0328369140625, 0.2381591796875, -0.281982421875, -0.734375, -0.900390625, -0.23193359375, 0.1337890625, 0.49365234375, 0.0128326416015625, -0.4228515625, 0.01032257080078125, -0.06597900390625, -0.2391357421875, 0.344970703125, -0.8388671875, -1.0302734375, 0.26806640625, -0.353515625, -0.7294921875, -0.274169921875, -0.5830078125, -0.06024169921875, 0.2264404296875, 0.337646484375, -0.4736328125, 0.5869140625, -0.001949310302734375, 0.73583984375, -0.293212890625, -0.26953125, -0.10736083984375, 0.1116943359375, -0.7646484375, -0.51806640625, 0.16845703125, 0.962890625, 0.24267578125, -0.421630859375, -0.56298828125, 0.059295654296875, -0.2490234375, 0.433837890625, -0.6943359375, -0.06976318359375, -0.302490234375, 0.671875, -0.92626953125, 0.244384765625, 0.0814208984375, 0.29150390625, 0.380859375, -0.487548828125, -0.84619140625, 0.78271484375, 0.208251953125, -0.239501953125, 0.64013671875, 0.0770263671875, 0.58203125, -0.10107421875, -0.1358642578125, -0.0265350341796875, 0.7998046875, 0.35986328125, 0.54296875, 0.07061767578125, 0.6337890625, 0.45458984375, 0.2052001953125, -0.50537109375, 0.779296875, 0.287841796875, 0.296875, 0.12286376953125, -0.1617431640625, -0.303955078125, -0.0011119842529296875, -0.5224609375, 0.03424072265625, -0.5263671875, -0.1837158203125, -0.399658203125, -0.68115234375, 0.88427734375, 0.078125, -0.34521484375, 0.1837158203125, -0.400146484375, 0.18359375, 0.759765625, -0.223876953125, -0.08209228515625, 0.9296875, 0.916015625, 0.2247314453125, 0.450927734375, 0.279296875, 0.1768798828125, -0.421142578125, 0.1365966796875, 0.04583740234375, 0.1802978515625, -0.365478515625, -0.88330078125, -0.763671875, 0.54345703125, -0.07037353515625, -0.05352783203125, 0.65185546875, -0.436767578125, -0.18505859375, -0.38330078125, 0.84716796875, -0.77685546875, 0.51220703125, 0.33544921875, 0.0103912353515625, -0.6044921875, 0.57080078125, -0.445068359375, 0.2900390625, 0.472412109375, 0.81298828125, -0.123291015625, 1.6748046875, 0.11358642578125, -0.1839599609375, -0.1993408203125, 0.435546875, -0.265869140625, -0.53466796875, -0.61279296875, -0.50048828125, -0.04559326171875, -0.54638671875, -0.48583984375, -0.0654296875, 0.8134765625, -0.1368408203125, -0.9228515625, -0.169189453125, 0.2177734375, -0.8203125, 0.6328125, 0.420166015625, 0.12481689453125, 0.05230712890625, 0.00997161865234375, 0.1983642578125, -0.4677734375, 0.34326171875, -0.5810546875, 0.6591796875, -0.73193359375, -0.45556640625, -0.48876953125, -0.413330078125, -0.02789306640625, 0.14013671875, -0.370849609375, -0.84521484375, 0.2244873046875, 0.471435546875, 0.310791015625, 0.0758056640625, -0.216552734375, 0.1497802734375, 1.181640625, 0.7900390625, -0.1658935546875, 0.75439453125, 0.279296875, -0.33056640625, 0.254638671875, -0.3525390625, 0.56298828125, 0.077880859375, 0.034027099609375, -0.30224609375, 0.2398681640625, -0.90234375, -1.4921875, -0.309326171875, 0.50146484375, 0.44287109375, -0.7021484375, -0.9208984375, -0.2137451171875, -0.71728515625, -0.58935546875, -0.568359375, 0.56591796875, -0.294677734375, -0.224853515625, -0.09197998046875, -1.3759765625, 4.328125, 0.849609375, 0.84521484375, 0.2010498046875, 0.2471923828125, 1.0478515625, 0.6279296875, -0.479736328125, 0.0225982666015625, -0.440185546875, 0.307373046875, -0.71923828125, -0.1607666015625, 0.97607421875, 0.2469482421875, 0.5673828125, -0.485595703125, 0.7294921875, -0.1583251953125, -0.75927734375, -0.82666015625, 0.3720703125, 0.012542724609375, 0.857421875, 0.25048828125, 0.306640625, 0.11334228515625, -0.58544921875, 0.0247039794921875, -0.8134765625, 0.446533203125, -0.5380859375, 1.0478515625, -0.046600341796875, -0.0179443359375, 0.74755859375, 0.381103515625, -0.72216796875, -0.3173828125, -0.1517333984375, -0.11590576171875, -0.1077880859375, 0.673828125, -0.73193359375, 0.029815673828125, 0.4423828125, -0.986328125, 0.267578125, 0.3818359375, -1.0322265625, 0.8515625, -0.7275390625, 0.5966796875, -0.59033203125, -0.58544921875, 0.00734710693359375, 0.0128631591796875, -0.291015625, -0.401611328125, 0.485107421875, 0.1365966796875, 0.2064208984375, 0.367919921875, 0.423583984375, -1.0712890625, 0.681640625, 0.060699462890625, 0.21923828125, -0.55712890625, -0.392822265625, 0.05743408203125, -0.039520263671875, -0.2408447265625, -0.273193359375, 0.94580078125, 0.1683349609375, -0.61767578125, 0.42041015625, 0.7236328125, -0.79296875, 0.053741455078125, -0.351318359375, -0.2177734375, -0.31884765625, 0.677734375, 0.810546875, -0.58056640625, -0.54931640625, -0.387451171875, 0.4501953125, 0.74169921875, 0.626953125, -0.1356201171875, -0.51171875, 0.051300048828125 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Submitted Solution: ``` from sys import * setrecursionlimit(200000) d = {} t = set() s = input() + ' ' def gen(l, ll): if (l, ll) in t: return t.add((l, ll)) if l > 6: d[s[l - 2 : l]] = 1 if s[l - 2 : l] != s[l : ll]: gen(l - 2, l) if l > 7: d[s[l - 3 : l]] = 1 if s[l - 3 : l] != s[l : ll]: gen(l - 3, l) gen(len(s) - 1,len(s)) print(len(d)) for k in sorted(d): print(k) ``` Yes
5,470
[ 0.200439453125, 0.11773681640625, 0.1221923828125, 0.01418304443359375, -0.1671142578125, 0.0765380859375, 0.08258056640625, -0.1944580078125, 0.1551513671875, 0.59375, 1.220703125, -0.419189453125, 0.253173828125, -1.0380859375, -0.63037109375, -0.26611328125, -0.483642578125, -0.81396484375, -0.751953125, -0.084228515625, -0.050048828125, -0.30859375, -1.271484375, 0.01678466796875, -0.2509765625, 0.91162109375, 0.5390625, -0.0775146484375, 1.0791015625, 0.916015625, -0.466796875, -0.52001953125, 0.65185546875, -0.97412109375, -0.454833984375, -0.1787109375, 0.446533203125, -0.8515625, -0.045196533203125, -0.57373046875, 0.196044921875, -0.8359375, 0.368896484375, -0.50439453125, -0.92822265625, 0.205078125, -0.19287109375, -0.5888671875, -0.1873779296875, -0.7724609375, 0.41845703125, -0.08465576171875, 0.5283203125, -0.2412109375, 0.31982421875, -0.00980377197265625, 0.139404296875, -0.30859375, -0.65380859375, 0.465576171875, 0.1353759765625, 0.560546875, 0.218505859375, -0.57568359375, -0.1002197265625, 0.467529296875, -0.053466796875, -0.12274169921875, 0.30419921875, -0.66357421875, -0.2744140625, 0.0433349609375, -0.29052734375, -0.345703125, -0.41064453125, -0.08349609375, 0.53271484375, -0.057861328125, -0.70751953125, 0.74658203125, 0.245849609375, 1.18359375, 0.7314453125, 0.13525390625, -0.2197265625, -0.462158203125, -0.03765869140625, 0.4228515625, 0.53369140625, 0.21630859375, -0.2841796875, 0.50732421875, -0.9384765625, -0.2020263671875, 0.845703125, 0.3154296875, -0.53515625, 0.489990234375, 0.2147216796875, 0.462890625, 1.06640625, 0.7568359375, -0.267822265625, 1.0703125, -0.70556640625, -0.00933837890625, 0.0589599609375, -0.08636474609375, 0.14404296875, -0.27880859375, -0.06494140625, 0.055389404296875, 0.457275390625, 0.27978515625, -0.66796875, 1.044921875, -0.53173828125, 0.404541015625, -1.01171875, 0.350830078125, 0.4189453125, 0.031341552734375, 0.271240234375, -0.2093505859375, 0.30859375, -0.2301025390625, -0.82470703125, 1.205078125, -0.630859375, 0.00937652587890625, 0.2470703125, -0.1641845703125, -0.241943359375, 0.326416015625, 0.054718017578125, 0.693359375, -0.32080078125, 0.54736328125, 0.765625, -0.71142578125, 1.00390625, 0.08905029296875, -0.44287109375, 1.5615234375, 0.307373046875, -0.07879638671875, 1.06640625, -0.11334228515625, -0.759765625, 0.76708984375, -0.82373046875, 0.297607421875, 0.330322265625, 0.208740234375, -0.467041015625, 0.182861328125, -0.0022125244140625, 0.1552734375, 0.763671875, 0.1171875, -0.48388671875, 0.4921875, -0.10650634765625, 0.791015625, -0.184814453125, 0.64306640625, -0.452880859375, -0.216552734375, -0.01495361328125, -0.83251953125, 0.1312255859375, -0.25048828125, 0.10015869140625, 0.8974609375, 0.64208984375, 1.08203125, 0.95849609375, -0.1549072265625, 0.38916015625, 0.1822509765625, -0.404052734375, 0.10198974609375, 0.185791015625, 0.68408203125, 0.288818359375, 0.2279052734375, -0.189453125, -0.3662109375, -0.4482421875, -0.5947265625, -0.15576171875, 0.7109375, -0.269287109375, 0.27880859375, -0.177490234375, -0.0172119140625, -0.9921875, 0.0682373046875, 0.044891357421875, -0.9580078125, -0.416015625, 0.71044921875, -0.0352783203125, 0.9326171875, -0.09600830078125, -0.5087890625, 0.0692138671875, 1.01171875, -0.07916259765625, 0.27587890625, 0.5419921875, 0.275146484375, -0.411376953125, 0.041717529296875, 0.302734375, -0.59814453125, -0.83935546875, 0.64794921875, -0.188232421875, 0.030609130859375, -0.2333984375, 0.6611328125, 0.238037109375, 0.381103515625, -0.27392578125, 0.10626220703125, 0.35791015625, 1.3798828125, 0.07855224609375, 0.65869140625, 0.285888671875, 0.6787109375, 0.41357421875, 0.88916015625, 0.45947265625, 0.259033203125, 0.6435546875, 0.853515625, 0.26416015625, 0.217041015625, 0.1728515625, 0.375244140625, 0.4462890625, 1.126953125, 0.2037353515625, 0.410400390625, -0.11053466796875, -0.316162109375, -0.4140625, 0.2352294921875, -0.328125, 0.591796875, -0.1446533203125, 0.62939453125, -0.330810546875, -0.11328125, 0.195556640625, 0.8154296875, -0.93212890625, -0.71484375, -0.006500244140625, -0.07177734375, 0.1944580078125, 0.343505859375, 0.398193359375, 0.120361328125, 0.38525390625, 0.56396484375, -0.2196044921875, -0.267333984375, -0.70556640625, -0.6796875, -1.099609375, -0.460693359375, -0.986328125, -0.17041015625, 0.1702880859375, -0.9169921875, 0.339111328125, -0.4677734375, -0.38818359375, 0.38427734375, -0.5068359375, 0.685546875, -0.57763671875, 0.8720703125, -0.6767578125, 0.424072265625, 0.033355712890625, 0.99658203125, -0.453125, -0.354736328125, 0.039031982421875, -0.55029296875, 0.6298828125, 0.2286376953125, 0.72314453125, -0.021820068359375, -0.58349609375, -0.93359375, -0.388671875, 0.07733154296875, -0.50634765625, 0.1761474609375, -0.468017578125, 0.98046875, 0.505859375, -0.359130859375, 0.8447265625, 1.1103515625, -1.1904296875, 0.408447265625, 0.4521484375, 0.169921875, -0.71875, 1.3466796875, 0.425048828125, 0.440673828125, -0.55615234375, -0.41748046875, -0.59521484375, -0.0291900634765625, 0.4365234375, -0.62841796875, -0.11602783203125, 0.49267578125, -0.15380859375, -1.298828125, 0.479736328125, -1.2626953125, -0.39697265625, -0.71826171875, -0.457275390625, 0.94580078125, 0.732421875, 0.1368408203125, -0.5517578125, -0.5419921875, -0.365234375, 0.441650390625, 0.568359375, -0.53369140625, 0.290283203125, 0.73193359375, 0.1131591796875, 0.34228515625, -0.1793212890625, -0.419921875, -0.152099609375, 0.08837890625, 0.230224609375, 0.7431640625, -0.0709228515625, 0.33935546875, 0.00018703937530517578, 0.76318359375, -1.029296875, -0.3623046875, -0.45947265625, 0.96875, 0.677734375, 0.646484375, 0.611328125, -0.509765625, -0.460693359375, -0.94091796875, 0.77587890625, 0.06549072265625, 0.87646484375, -0.448486328125, 0.75732421875, 0.159423828125, -0.95849609375, 0.5517578125, -0.58349609375, 0.0254058837890625, 0.92529296875, -0.37890625, 1.111328125, -0.56103515625, 0.3046875, -0.0809326171875, 0.1107177734375, 0.4130859375, 0.4853515625, 0.47021484375, -0.34912109375, -0.371826171875, -0.16552734375, 0.055694580078125, -0.096923828125, -0.6767578125, 0.306640625, -0.2384033203125, -0.261962890625, -1.01171875, 0.48046875, 0.6826171875, 0.77734375, -0.184326171875, 0.4765625, 0.37060546875, 0.3876953125, 0.4951171875, -0.11737060546875, 0.409423828125, -0.9833984375, 0.61279296875, 0.2685546875, -0.497314453125, -0.5439453125, -0.54931640625, -0.400146484375, 0.248291015625, -0.1895751953125, -0.0062408447265625, -1.0283203125, 0.2491455078125, 0.039337158203125, 0.388916015625, -1.091796875, -0.0029048919677734375, -0.63427734375, 0.62744140625, 0.2386474609375, -1.046875, 0.5595703125, -0.92529296875, 0.3671875, 0.6806640625, 0.077880859375, -0.5693359375, -0.1102294921875, -1.0107421875, -0.5283203125, -0.102783203125, 0.92529296875, -0.10797119140625, -0.04241943359375, -0.9453125, 0.344970703125, 0.50146484375, -0.50146484375, -0.0897216796875, -0.406005859375, 0.52685546875, -0.0257568359375, 1.025390625, -0.498046875, -0.93505859375, 0.0975341796875, -0.92431640625, 0.260498046875, -0.62744140625, 0.541015625, 0.072509765625, -0.045928955078125, 0.1197509765625, 0.25537109375, -0.434814453125, 0.190673828125, -0.1361083984375, 0.297119140625, -0.85205078125, -0.826171875, 0.57568359375, -0.0445556640625, -0.568359375, 0.9326171875, 0.1785888671875, -0.44140625, 0.11090087890625, 0.498046875, -0.408203125, 0.41943359375, -0.6533203125, 0.1947021484375, -0.1890869140625, -0.82470703125, -0.143310546875, -0.415771484375, 0.603515625, -0.1617431640625, -1.080078125, -0.2261962890625, -1.0126953125, -0.409912109375, -0.2039794921875, -1.0712890625, 0.338134765625, 0.0025634765625, -0.1878662109375, 0.164794921875, -0.0906982421875, -0.67578125, -0.50537109375, -0.38330078125, -0.292236328125, 0.3388671875, 0.57421875, 1.0888671875, 0.1766357421875, -0.1878662109375, -0.50439453125, 0.061492919921875, 0.07073974609375, -0.67529296875, -0.438720703125, 0.0293121337890625, -0.198974609375, -0.304443359375, 0.41943359375, -0.21435546875, 0.20849609375, 0.69580078125, 0.403076171875, 0.333984375, 0.06256103515625, -0.80126953125, 0.97900390625, 0.10736083984375, -1.1123046875, -0.77001953125, 0.3896484375, 0.1287841796875, 0.82861328125, 0.1656494140625, -0.331298828125, -0.8525390625, -1.04296875, 0.006145477294921875, -0.673828125, -0.12396240234375, -1.1396484375, -0.52685546875, -0.18359375, 0.6015625, 0.1038818359375, 0.09869384765625, 0.23046875, -1.21484375, 0.036041259765625, -0.51171875, -0.2115478515625, -1.21875, -0.338623046875, -0.215576171875, 1.1748046875, 0.4677734375, 0.28125, 0.05242919921875, -0.0091400146484375, -0.07293701171875, -0.3310546875, -0.51123046875, -0.261962890625, -0.08184814453125, -0.07171630859375, -0.39306640625, 0.10638427734375, -0.572265625, 0.85546875, -0.84765625, 0.1348876953125, -0.07611083984375, -0.19189453125, -0.2406005859375, -0.308349609375, 1.1318359375, -0.454833984375, 0.02117919921875, -0.363037109375, 0.5693359375, 0.99267578125, -0.55224609375, -0.19873046875, -0.84326171875, -0.66455078125, -1.123046875, 0.56591796875, -0.7021484375, 0.0478515625, -0.65771484375, -0.361572265625, 1.193359375, -0.19384765625, 0.450927734375, 1.166015625, 0.131591796875, 0.281494140625, -0.61474609375, 0.92822265625, 0.40771484375, -0.7275390625, -0.281494140625, -0.22265625, -0.8994140625, 0.2440185546875, -0.33984375, -1.109375, -0.424072265625, 0.55859375, 1.189453125, -0.0181427001953125, 1.1865234375, -0.26220703125, -0.966796875, -0.39794921875, 0.76416015625, 0.45166015625, 0.1949462890625, 0.9951171875, 0.1575927734375, -0.218505859375, 0.2174072265625, -0.18408203125, -0.1834716796875, -0.10675048828125, 1.337890625, -0.263916015625, -0.6953125, 0.56201171875, 0.73779296875, -1.3193359375, -0.87158203125, -0.3095703125, -0.138671875, -0.36181640625, -0.6728515625, 0.55224609375, 0.398681640625, -0.335205078125, -0.1685791015625, 0.60498046875, -0.4365234375, 0.44140625, 0.215087890625, 0.136962890625, -0.442138671875, 0.3310546875, 0.46728515625, -0.6064453125, -0.5390625, -0.44970703125, 0.280517578125, -0.293212890625, 0.2347412109375, 0.67919921875, -0.6064453125, -0.0487060546875, 0.352783203125, -0.274169921875, 0.83984375, -0.5751953125, -0.7763671875, -0.012054443359375, -0.68408203125, -0.67919921875, -0.2327880859375, 0.370361328125, -0.250732421875, 0.57666015625, -0.341552734375, -0.33447265625, 0.3212890625, 0.35595703125, -0.1607666015625, -0.9931640625, -0.38134765625, -1.1279296875, -0.397705078125, -0.459228515625, -0.537109375, -0.28955078125, 0.345947265625, 0.474365234375, -0.6357421875, 0.0543212890625, 0.94140625, -0.308349609375, 1.029296875, -0.73583984375, 0.127197265625, -0.478759765625, -0.703125, -0.5400390625, 0.1029052734375, -0.342529296875, 0.11187744140625, -0.161376953125, 0.8125, -0.11761474609375, 0.1663818359375, -0.334716796875, 0.315673828125, -0.2122802734375, -0.1474609375, 0.27490234375, 0.17431640625, -0.09893798828125, 0.67724609375, 0.30615234375, -0.111572265625, 0.46484375, -0.305419921875, -0.416259765625, -0.492919921875, 0.6787109375, 0.5244140625, -0.30322265625, -0.2037353515625, -0.1910400390625, -0.1221923828125, -0.82861328125, 0.398681640625, -0.2568359375, 0.02032470703125, -0.367431640625, -0.47509765625, 0.623046875, 1.1318359375, -0.320556640625, 0.257080078125, 0.08612060546875, 0.32470703125, 0.283935546875, 0.625, -0.0684814453125, 0.488525390625, -0.1834716796875, -0.006374359130859375, 0.033111572265625, 0.60302734375, 0.047332763671875, 0.275634765625, -0.37744140625, -0.7421875, -1.078125, -0.19091796875, 0.062225341796875, 0.437255859375, 0.1260986328125, -0.456298828125, -0.01488494873046875, -0.143798828125, -0.4326171875, 0.378173828125, -0.95751953125, -1.017578125, 0.3349609375, -0.35791015625, -0.76708984375, -0.1824951171875, -0.541015625, 0.1297607421875, 0.189697265625, 0.21875, -0.49462890625, 0.46484375, 0.139404296875, 0.68994140625, -0.335205078125, -0.2396240234375, -0.13916015625, 0.0797119140625, -0.935546875, -0.56689453125, 0.1453857421875, 0.880859375, 0.04168701171875, -0.411376953125, -0.56005859375, 0.000766754150390625, -0.3037109375, 0.4033203125, -0.61669921875, -0.1693115234375, -0.1724853515625, 0.7646484375, -0.84521484375, 0.19580078125, 0.07525634765625, 0.257080078125, 0.208251953125, -0.499267578125, -0.90771484375, 0.7607421875, 0.42138671875, -0.08221435546875, 0.6220703125, 0.036834716796875, 0.71044921875, -0.10089111328125, -0.09478759765625, -0.0290985107421875, 0.67138671875, 0.463134765625, 0.56298828125, 0.19140625, 0.78515625, 0.451171875, 0.1671142578125, -0.36376953125, 0.912109375, 0.3037109375, 0.1964111328125, 0.11865234375, -0.2069091796875, -0.1785888671875, 0.170654296875, -0.46533203125, -0.041656494140625, -0.5830078125, -0.11712646484375, -0.343505859375, -0.5576171875, 0.95361328125, -0.0168914794921875, -0.252685546875, 0.0150146484375, -0.4365234375, 0.330322265625, 0.7158203125, -0.035003662109375, 0.00528717041015625, 0.927734375, 0.96533203125, 0.290771484375, 0.5068359375, 0.250244140625, 0.07342529296875, -0.498779296875, 0.1463623046875, 0.2344970703125, 0.061798095703125, -0.473876953125, -0.8916015625, -0.9755859375, 0.6806640625, 0.045867919921875, 0.191162109375, 0.42578125, -0.5185546875, -0.168701171875, -0.441162109375, 0.93359375, -0.85693359375, 0.414306640625, 0.33984375, 0.072998046875, -0.61181640625, 0.60986328125, -0.353515625, 0.207763671875, 0.54736328125, 0.806640625, -0.072509765625, 1.619140625, 0.2607421875, -0.07177734375, -0.069091796875, 0.59814453125, -0.26904296875, -0.488037109375, -0.493408203125, -0.5224609375, -0.15771484375, -0.50537109375, -0.4716796875, -0.1474609375, 0.8427734375, 0.0270233154296875, -0.89697265625, -0.359375, 0.1510009765625, -0.62158203125, 0.63818359375, 0.294189453125, 0.277099609375, 0.165283203125, 0.0316162109375, 0.07147216796875, -0.399658203125, 0.2154541015625, -0.41845703125, 0.69873046875, -0.71875, -0.4287109375, -0.5625, -0.396240234375, 0.0657958984375, 0.2276611328125, -0.406005859375, -0.75830078125, 0.266845703125, 0.43896484375, 0.1224365234375, -0.07269287109375, -0.36962890625, 0.0792236328125, 1.2041015625, 0.783203125, -0.30322265625, 0.83349609375, 0.332275390625, -0.263671875, 0.11981201171875, -0.28515625, 0.53515625, 0.1651611328125, -0.0887451171875, -0.388427734375, 0.1846923828125, -0.96533203125, -1.3017578125, -0.302978515625, 0.478759765625, 0.297607421875, -0.73046875, -1.1259765625, -0.51611328125, -0.5576171875, -0.382568359375, -0.64404296875, 0.60009765625, -0.2119140625, -0.288818359375, -0.0538330078125, -1.2470703125, 4.296875, 0.86669921875, 0.59716796875, 0.035186767578125, 0.328369140625, 1.0380859375, 0.6533203125, -0.497802734375, 0.13037109375, -0.6083984375, 0.382080078125, -0.70361328125, -0.0963134765625, 0.923828125, 0.262939453125, 0.70166015625, -0.54052734375, 0.376953125, -0.055328369140625, -0.84228515625, -0.7724609375, 0.3251953125, 0.183837890625, 0.701171875, 0.1356201171875, 0.326171875, 0.33447265625, -0.6865234375, -0.08489990234375, -0.8544921875, 0.3603515625, -0.52294921875, 0.97705078125, 0.0648193359375, -0.04852294921875, 0.740234375, 0.422119140625, -0.7060546875, -0.30029296875, 0.01384735107421875, -0.189697265625, 0.0038394927978515625, 0.67431640625, -0.67578125, 0.032867431640625, 0.662109375, -1.015625, 0.345703125, 0.38427734375, -1.0888671875, 0.91796875, -0.5888671875, 0.669921875, -0.53369140625, -0.60498046875, -0.004367828369140625, 0.030426025390625, -0.2646484375, -0.3076171875, 0.461181640625, -0.035369873046875, 0.17626953125, 0.2410888671875, 0.697265625, -1.1318359375, 0.501953125, 0.16064453125, 0.117919921875, -0.5341796875, -0.30029296875, 0.0007524490356445312, -0.10491943359375, -0.3095703125, -0.34326171875, 0.88525390625, 0.2406005859375, -0.61572265625, 0.387451171875, 0.736328125, -0.72607421875, 0.0865478515625, -0.5615234375, -0.2105712890625, -0.3876953125, 0.609375, 0.83251953125, -0.578125, -0.64501953125, -0.33837890625, 0.53759765625, 0.72509765625, 0.77392578125, -0.1627197265625, -0.56005859375, -0.218505859375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Submitted Solution: ``` import sys input = sys.stdin.readline s = input().strip() n = len(s) poss = [[False] * 2 for _ in range(n)] poss[n - 2][0] = poss[n - 3][1] = True for i in range(n - 4, -1, -1): poss[i][0] = s[i: i + 2] != s[i + 2: i + 4] and poss[i + 2][0] or poss[i + 2][1] poss[i][1] = s[i: i + 3] != s[i + 3: i + 6] and poss[i + 3][1] or poss[i + 3][0] ans = set() for i in range(5, n): if poss[i][0]: ans.add(s[i: i + 2]) if poss[i][1]: ans.add(s[i:i + 3]) print(len(ans)) for x in sorted(ans): print(x) ``` Yes
5,471
[ 0.2117919921875, 0.104736328125, 0.09600830078125, 0.042694091796875, -0.1488037109375, 0.06329345703125, 0.07415771484375, -0.1668701171875, 0.1455078125, 0.5771484375, 1.2294921875, -0.455810546875, 0.2822265625, -1.0712890625, -0.68115234375, -0.271728515625, -0.479248046875, -0.81494140625, -0.76416015625, -0.05780029296875, -0.01708984375, -0.277587890625, -1.2783203125, 0.06134033203125, -0.252197265625, 0.86865234375, 0.5712890625, -0.09149169921875, 1.0810546875, 0.9150390625, -0.42626953125, -0.5517578125, 0.6455078125, -1.0146484375, -0.460205078125, -0.171630859375, 0.47314453125, -0.89208984375, -0.039031982421875, -0.57568359375, 0.1912841796875, -0.84423828125, 0.384765625, -0.53125, -0.890625, 0.2086181640625, -0.187255859375, -0.57958984375, -0.2056884765625, -0.7158203125, 0.42529296875, -0.0634765625, 0.5576171875, -0.279052734375, 0.30419921875, -0.02642822265625, 0.146484375, -0.306396484375, -0.61279296875, 0.446533203125, 0.1251220703125, 0.53271484375, 0.2073974609375, -0.57421875, -0.07427978515625, 0.4736328125, -0.07757568359375, -0.1015625, 0.28955078125, -0.708984375, -0.294921875, 0.047943115234375, -0.325439453125, -0.4091796875, -0.377685546875, -0.09539794921875, 0.5341796875, -0.07403564453125, -0.67578125, 0.75439453125, 0.2354736328125, 1.1572265625, 0.744140625, 0.1202392578125, -0.1802978515625, -0.470947265625, -0.050445556640625, 0.44921875, 0.483642578125, 0.2081298828125, -0.297119140625, 0.5087890625, -0.9453125, -0.2108154296875, 0.86865234375, 0.357666015625, -0.5361328125, 0.4814453125, 0.1820068359375, 0.45068359375, 1.029296875, 0.74853515625, -0.284423828125, 1.0732421875, -0.68603515625, 0.0103759765625, 0.09027099609375, -0.07421875, 0.1650390625, -0.2978515625, -0.0909423828125, 0.06787109375, 0.432373046875, 0.268310546875, -0.67529296875, 1.0341796875, -0.53515625, 0.384521484375, -1.00390625, 0.3564453125, 0.416015625, 0.0222930908203125, 0.280517578125, -0.242919921875, 0.31396484375, -0.2410888671875, -0.80419921875, 1.1982421875, -0.6337890625, -0.00672149658203125, 0.2156982421875, -0.1727294921875, -0.2049560546875, 0.352783203125, 0.06329345703125, 0.72265625, -0.321533203125, 0.5029296875, 0.71923828125, -0.69384765625, 1.0087890625, 0.084228515625, -0.43896484375, 1.5712890625, 0.30419921875, -0.06536865234375, 1.080078125, -0.08319091796875, -0.78076171875, 0.810546875, -0.8349609375, 0.289306640625, 0.359375, 0.207275390625, -0.431640625, 0.2127685546875, 0.01910400390625, 0.182861328125, 0.7763671875, 0.14208984375, -0.4892578125, 0.50634765625, -0.07867431640625, 0.775390625, -0.1661376953125, 0.66650390625, -0.46240234375, -0.2144775390625, -0.049041748046875, -0.830078125, 0.1513671875, -0.23779296875, 0.1363525390625, 0.90966796875, 0.66162109375, 1.1015625, 0.9580078125, -0.1094970703125, 0.404541015625, 0.1617431640625, -0.43310546875, 0.09674072265625, 0.185791015625, 0.67822265625, 0.31494140625, 0.222412109375, -0.198974609375, -0.35107421875, -0.471923828125, -0.63916015625, -0.1263427734375, 0.70068359375, -0.2110595703125, 0.2440185546875, -0.177978515625, -0.0132598876953125, -0.9765625, 0.08917236328125, 0.039947509765625, -0.955078125, -0.434326171875, 0.708984375, -0.0316162109375, 0.9130859375, -0.07696533203125, -0.513671875, 0.103515625, 1.00390625, -0.056610107421875, 0.2705078125, 0.5419921875, 0.27490234375, -0.408203125, 0.030731201171875, 0.298095703125, -0.55908203125, -0.8466796875, 0.63916015625, -0.1923828125, 0.009857177734375, -0.2225341796875, 0.6787109375, 0.207763671875, 0.351806640625, -0.316650390625, 0.0860595703125, 0.3837890625, 1.3916015625, 0.09234619140625, 0.6240234375, 0.2490234375, 0.65869140625, 0.384033203125, 0.87890625, 0.45263671875, 0.249755859375, 0.64599609375, 0.81396484375, 0.286376953125, 0.2100830078125, 0.159912109375, 0.3916015625, 0.378173828125, 1.1298828125, 0.2132568359375, 0.41259765625, -0.09576416015625, -0.3037109375, -0.410888671875, 0.2142333984375, -0.349609375, 0.58984375, -0.1380615234375, 0.60546875, -0.343017578125, -0.11309814453125, 0.239990234375, 0.80712890625, -0.94384765625, -0.71484375, 0.017547607421875, -0.0662841796875, 0.17236328125, 0.330810546875, 0.40869140625, 0.1014404296875, 0.386962890625, 0.6044921875, -0.2333984375, -0.245849609375, -0.6845703125, -0.65673828125, -1.083984375, -0.469970703125, -0.99462890625, -0.1868896484375, 0.1572265625, -0.94189453125, 0.343505859375, -0.459716796875, -0.3828125, 0.390380859375, -0.51025390625, 0.66796875, -0.59423828125, 0.82568359375, -0.705078125, 0.43701171875, 0.0211334228515625, 0.9931640625, -0.438720703125, -0.340576171875, 0.019012451171875, -0.5498046875, 0.6181640625, 0.225341796875, 0.7470703125, -0.013153076171875, -0.552734375, -0.958984375, -0.384765625, 0.07635498046875, -0.50830078125, 0.1734619140625, -0.43359375, 0.97265625, 0.546875, -0.343505859375, 0.87060546875, 1.09765625, -1.205078125, 0.3876953125, 0.445556640625, 0.140869140625, -0.71826171875, 1.3466796875, 0.421630859375, 0.442138671875, -0.53125, -0.41357421875, -0.591796875, -0.0107574462890625, 0.41552734375, -0.595703125, -0.10894775390625, 0.501953125, -0.156982421875, -1.279296875, 0.4638671875, -1.2685546875, -0.369384765625, -0.7255859375, -0.44921875, 0.96923828125, 0.75634765625, 0.1268310546875, -0.572265625, -0.5400390625, -0.375732421875, 0.4404296875, 0.57568359375, -0.498779296875, 0.283447265625, 0.72314453125, 0.12457275390625, 0.336181640625, -0.1912841796875, -0.422119140625, -0.1456298828125, 0.0716552734375, 0.2364501953125, 0.74169921875, -0.056488037109375, 0.34423828125, -0.01953125, 0.7783203125, -1.0546875, -0.37890625, -0.452392578125, 0.994140625, 0.68896484375, 0.6240234375, 0.61376953125, -0.52685546875, -0.46728515625, -0.93896484375, 0.76513671875, 0.05487060546875, 0.91455078125, -0.427734375, 0.78466796875, 0.173095703125, -0.9443359375, 0.55126953125, -0.5859375, 0.01971435546875, 0.98291015625, -0.398681640625, 1.1103515625, -0.5498046875, 0.291015625, -0.0601806640625, 0.0899658203125, 0.439208984375, 0.50341796875, 0.46142578125, -0.373046875, -0.369140625, -0.2144775390625, 0.07464599609375, -0.076904296875, -0.66943359375, 0.279296875, -0.259521484375, -0.254638671875, -1.01171875, 0.443603515625, 0.677734375, 0.76123046875, -0.15380859375, 0.47314453125, 0.368896484375, 0.3759765625, 0.494873046875, -0.13623046875, 0.41259765625, -1.0322265625, 0.658203125, 0.2568359375, -0.501953125, -0.54150390625, -0.55078125, -0.387451171875, 0.251220703125, -0.20849609375, -0.0159454345703125, -1.03125, 0.2509765625, 0.031341552734375, 0.376708984375, -1.091796875, -0.0235748291015625, -0.623046875, 0.6484375, 0.257080078125, -1.0380859375, 0.5419921875, -0.9384765625, 0.37060546875, 0.68798828125, 0.0989990234375, -0.55712890625, -0.10723876953125, -0.9912109375, -0.52197265625, -0.09686279296875, 0.94091796875, -0.1292724609375, -0.0341796875, -0.9267578125, 0.361328125, 0.482666015625, -0.53125, -0.1253662109375, -0.38720703125, 0.51318359375, -0.03485107421875, 1.0517578125, -0.475830078125, -0.955078125, 0.10009765625, -0.8837890625, 0.2626953125, -0.65234375, 0.55029296875, 0.08258056640625, -0.0711669921875, 0.10955810546875, 0.2398681640625, -0.44482421875, 0.190673828125, -0.10552978515625, 0.29443359375, -0.83544921875, -0.84423828125, 0.5537109375, -0.0870361328125, -0.5888671875, 0.9306640625, 0.184814453125, -0.416015625, 0.12225341796875, 0.51416015625, -0.38818359375, 0.43115234375, -0.6455078125, 0.177001953125, -0.197509765625, -0.81298828125, -0.184326171875, -0.427001953125, 0.58740234375, -0.1038818359375, -1.0595703125, -0.220703125, -0.99755859375, -0.42578125, -0.2237548828125, -1.0634765625, 0.344970703125, -0.00894927978515625, -0.17333984375, 0.1568603515625, -0.09771728515625, -0.73046875, -0.51806640625, -0.377685546875, -0.33740234375, 0.32861328125, 0.548828125, 1.119140625, 0.16015625, -0.177490234375, -0.52685546875, 0.06646728515625, 0.07855224609375, -0.6689453125, -0.416015625, 0.01299285888671875, -0.193359375, -0.2978515625, 0.385498046875, -0.193359375, 0.232177734375, 0.70458984375, 0.353271484375, 0.330810546875, 0.0631103515625, -0.814453125, 0.98486328125, 0.1351318359375, -1.1025390625, -0.70703125, 0.36279296875, 0.0972900390625, 0.81591796875, 0.1761474609375, -0.341064453125, -0.83984375, -1.05859375, 0.019866943359375, -0.681640625, -0.12457275390625, -1.1640625, -0.5078125, -0.20458984375, 0.626953125, 0.06561279296875, 0.11846923828125, 0.20751953125, -1.216796875, -0.003925323486328125, -0.50634765625, -0.2474365234375, -1.203125, -0.380126953125, -0.1905517578125, 1.203125, 0.407958984375, 0.279541015625, 0.0582275390625, -0.0215301513671875, -0.09173583984375, -0.32177734375, -0.478515625, -0.260009765625, -0.129638671875, -0.054534912109375, -0.3896484375, 0.08331298828125, -0.58056640625, 0.84326171875, -0.85302734375, 0.1336669921875, -0.1063232421875, -0.22802734375, -0.2344970703125, -0.282470703125, 1.1220703125, -0.47607421875, 0.0249176025390625, -0.336669921875, 0.57470703125, 1.001953125, -0.513671875, -0.1763916015625, -0.8330078125, -0.705078125, -1.0986328125, 0.53955078125, -0.69287109375, 0.07330322265625, -0.6669921875, -0.381103515625, 1.16796875, -0.20361328125, 0.43212890625, 1.1142578125, 0.1259765625, 0.2379150390625, -0.61279296875, 0.92724609375, 0.41845703125, -0.73095703125, -0.2705078125, -0.194091796875, -0.921875, 0.275634765625, -0.3349609375, -1.0810546875, -0.412841796875, 0.548828125, 1.1708984375, -0.033233642578125, 1.16796875, -0.22412109375, -0.9736328125, -0.4306640625, 0.80419921875, 0.43115234375, 0.197265625, 0.9814453125, 0.1409912109375, -0.208740234375, 0.2293701171875, -0.165283203125, -0.138671875, -0.10150146484375, 1.3427734375, -0.302734375, -0.67724609375, 0.564453125, 0.7041015625, -1.322265625, -0.8544921875, -0.3046875, -0.1204833984375, -0.38720703125, -0.64990234375, 0.53857421875, 0.38623046875, -0.324951171875, -0.17724609375, 0.6162109375, -0.385009765625, 0.482421875, 0.2205810546875, 0.15185546875, -0.390869140625, 0.3349609375, 0.488037109375, -0.6279296875, -0.51904296875, -0.42822265625, 0.296630859375, -0.340087890625, 0.2313232421875, 0.68408203125, -0.615234375, -0.0264892578125, 0.335205078125, -0.257568359375, 0.83349609375, -0.57763671875, -0.8134765625, 0.0162200927734375, -0.640625, -0.6728515625, -0.259765625, 0.353271484375, -0.2236328125, 0.58935546875, -0.35986328125, -0.331787109375, 0.354736328125, 0.3837890625, -0.13330078125, -0.96728515625, -0.343994140625, -1.1484375, -0.410888671875, -0.46484375, -0.52880859375, -0.281494140625, 0.344970703125, 0.49755859375, -0.62841796875, 0.041961669921875, 0.93017578125, -0.283203125, 1.0400390625, -0.75537109375, 0.10394287109375, -0.484619140625, -0.6904296875, -0.56689453125, 0.134765625, -0.35888671875, 0.06103515625, -0.1768798828125, 0.8037109375, -0.08648681640625, 0.1551513671875, -0.28759765625, 0.2998046875, -0.2484130859375, -0.1396484375, 0.267578125, 0.1683349609375, -0.043243408203125, 0.66357421875, 0.31884765625, -0.064208984375, 0.537109375, -0.32373046875, -0.3583984375, -0.467529296875, 0.662109375, 0.53564453125, -0.31787109375, -0.201416015625, -0.2049560546875, -0.1512451171875, -0.814453125, 0.4501953125, -0.228271484375, -0.0123443603515625, -0.339599609375, -0.480224609375, 0.634765625, 1.1513671875, -0.287109375, 0.251953125, 0.09893798828125, 0.3212890625, 0.2607421875, 0.6357421875, -0.0416259765625, 0.51513671875, -0.1856689453125, -0.006259918212890625, 0.054107666015625, 0.58203125, 0.06292724609375, 0.2568359375, -0.374755859375, -0.7744140625, -1.12890625, -0.196533203125, 0.087158203125, 0.43408203125, 0.1759033203125, -0.4248046875, 0.0021648406982421875, -0.149169921875, -0.406005859375, 0.365478515625, -0.97705078125, -1.0283203125, 0.31201171875, -0.348876953125, -0.78466796875, -0.2161865234375, -0.53369140625, 0.135986328125, 0.1707763671875, 0.2144775390625, -0.4609375, 0.470947265625, 0.1400146484375, 0.72705078125, -0.317626953125, -0.2320556640625, -0.1353759765625, 0.0731201171875, -0.966796875, -0.55810546875, 0.1097412109375, 0.8642578125, 0.057159423828125, -0.392333984375, -0.56591796875, -0.01287078857421875, -0.32861328125, 0.388427734375, -0.61865234375, -0.1839599609375, -0.1473388671875, 0.7822265625, -0.83935546875, 0.176025390625, 0.07379150390625, 0.2529296875, 0.1871337890625, -0.51513671875, -0.91845703125, 0.76611328125, 0.4248046875, -0.055572509765625, 0.64208984375, 0.0721435546875, 0.7109375, -0.090576171875, -0.0931396484375, -0.0267181396484375, 0.626953125, 0.49169921875, 0.5673828125, 0.1929931640625, 0.8291015625, 0.451416015625, 0.156982421875, -0.37744140625, 0.8974609375, 0.2958984375, 0.1505126953125, 0.10699462890625, -0.212158203125, -0.1788330078125, 0.130126953125, -0.4521484375, -0.0479736328125, -0.61474609375, -0.07489013671875, -0.3212890625, -0.57275390625, 0.953125, -0.01702880859375, -0.24072265625, -0.021636962890625, -0.415283203125, 0.325439453125, 0.75439453125, -0.0111083984375, -0.035614013671875, 0.95947265625, 0.947265625, 0.302490234375, 0.474853515625, 0.247802734375, 0.039764404296875, -0.50439453125, 0.158935546875, 0.21826171875, 0.06365966796875, -0.492919921875, -0.84765625, -0.998046875, 0.69921875, 0.03411865234375, 0.171630859375, 0.423583984375, -0.479736328125, -0.1466064453125, -0.448974609375, 0.9521484375, -0.8349609375, 0.385986328125, 0.33251953125, 0.0755615234375, -0.56884765625, 0.59326171875, -0.40185546875, 0.1785888671875, 0.54443359375, 0.81005859375, -0.07958984375, 1.6494140625, 0.28955078125, -0.080810546875, -0.07489013671875, 0.6123046875, -0.2919921875, -0.487548828125, -0.482177734375, -0.474609375, -0.1453857421875, -0.5087890625, -0.458984375, -0.10638427734375, 0.83984375, 0.038970947265625, -0.8662109375, -0.3681640625, 0.1495361328125, -0.6376953125, 0.6552734375, 0.28125, 0.27587890625, 0.1461181640625, 0.02569580078125, 0.06671142578125, -0.432861328125, 0.219482421875, -0.41748046875, 0.712890625, -0.71533203125, -0.437255859375, -0.580078125, -0.427734375, 0.06829833984375, 0.23486328125, -0.386474609375, -0.77685546875, 0.2396240234375, 0.417236328125, 0.08880615234375, -0.10504150390625, -0.3701171875, 0.085693359375, 1.1650390625, 0.75634765625, -0.32373046875, 0.80078125, 0.27197265625, -0.269775390625, 0.1328125, -0.311767578125, 0.54736328125, 0.1326904296875, -0.09210205078125, -0.3916015625, 0.186279296875, -0.97998046875, -1.302734375, -0.2744140625, 0.455810546875, 0.325927734375, -0.71826171875, -1.12109375, -0.53515625, -0.57470703125, -0.354736328125, -0.62353515625, 0.55810546875, -0.2060546875, -0.26513671875, -0.04205322265625, -1.2353515625, 4.30078125, 0.85595703125, 0.60791015625, -0.019195556640625, 0.30419921875, 1.0546875, 0.65625, -0.50927734375, 0.1536865234375, -0.6123046875, 0.385986328125, -0.69189453125, -0.12158203125, 0.890625, 0.260009765625, 0.73681640625, -0.529296875, 0.348388671875, -0.04180908203125, -0.828125, -0.74072265625, 0.293701171875, 0.1695556640625, 0.6884765625, 0.1439208984375, 0.345703125, 0.345458984375, -0.7060546875, -0.059478759765625, -0.84423828125, 0.37060546875, -0.501953125, 0.94677734375, 0.0264892578125, -0.057098388671875, 0.7421875, 0.402099609375, -0.71533203125, -0.31591796875, -0.02276611328125, -0.19580078125, -0.011199951171875, 0.64306640625, -0.6796875, 0.05523681640625, 0.6796875, -1.0048828125, 0.30517578125, 0.438720703125, -1.115234375, 0.912109375, -0.59814453125, 0.67578125, -0.541015625, -0.55908203125, 0.019500732421875, 0.04132080078125, -0.27392578125, -0.31396484375, 0.447265625, -0.0300445556640625, 0.1593017578125, 0.2406005859375, 0.71533203125, -1.1220703125, 0.50732421875, 0.1688232421875, 0.1328125, -0.5322265625, -0.29296875, -0.0015125274658203125, -0.09234619140625, -0.315185546875, -0.3212890625, 0.89501953125, 0.24755859375, -0.607421875, 0.351318359375, 0.80810546875, -0.71484375, 0.0426025390625, -0.55517578125, -0.165283203125, -0.391357421875, 0.6259765625, 0.83447265625, -0.5654296875, -0.61767578125, -0.336181640625, 0.5283203125, 0.74853515625, 0.75439453125, -0.165771484375, -0.57958984375, -0.2156982421875 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Submitted Solution: ``` t = input() s, d = set(), set() p = {(len(t), 2)} while p: m, x = p.pop() r = m + x for y in [x, 5 - x]: l = m - y q = (l, y) if q in d or l < 5 or t[l:m] == t[m:r]: continue s.add(t[l:m]) d.add(q) p.add(q) print(len(s)) print('\n'.join(sorted(s))) # Made By Mostafa_Khaled ``` Yes
5,472
[ 0.1986083984375, 0.1168212890625, 0.10699462890625, 0.0001385211944580078, -0.18212890625, 0.049774169921875, 0.08038330078125, -0.1763916015625, 0.16162109375, 0.60400390625, 1.1962890625, -0.4013671875, 0.279296875, -1.0361328125, -0.62939453125, -0.293701171875, -0.499267578125, -0.80078125, -0.75, -0.1055908203125, -0.049285888671875, -0.29150390625, -1.26953125, 0.00856781005859375, -0.2685546875, 0.90576171875, 0.52734375, -0.08660888671875, 1.0732421875, 0.9091796875, -0.449951171875, -0.50830078125, 0.6416015625, -0.9736328125, -0.44921875, -0.1844482421875, 0.4638671875, -0.8583984375, -0.045135498046875, -0.5830078125, 0.2098388671875, -0.8212890625, 0.3623046875, -0.4931640625, -0.9267578125, 0.1905517578125, -0.1851806640625, -0.58935546875, -0.2193603515625, -0.775390625, 0.4130859375, -0.08331298828125, 0.5498046875, -0.2352294921875, 0.314208984375, -0.0298614501953125, 0.134033203125, -0.29638671875, -0.6630859375, 0.46435546875, 0.1561279296875, 0.5439453125, 0.2142333984375, -0.56884765625, -0.12298583984375, 0.440673828125, -0.052276611328125, -0.1082763671875, 0.298095703125, -0.67529296875, -0.295654296875, 0.042999267578125, -0.30810546875, -0.3369140625, -0.44287109375, -0.056610107421875, 0.5185546875, -0.039459228515625, -0.7236328125, 0.74560546875, 0.25732421875, 1.17578125, 0.73193359375, 0.136962890625, -0.2142333984375, -0.4794921875, -0.0236053466796875, 0.44775390625, 0.5478515625, 0.2152099609375, -0.286376953125, 0.51123046875, -0.95263671875, -0.1961669921875, 0.8544921875, 0.33154296875, -0.52685546875, 0.48291015625, 0.198974609375, 0.464599609375, 1.072265625, 0.74853515625, -0.276611328125, 1.0791015625, -0.68994140625, -0.01806640625, 0.02520751953125, -0.07635498046875, 0.13720703125, -0.2744140625, -0.0692138671875, 0.050537109375, 0.44677734375, 0.28369140625, -0.671875, 1.0380859375, -0.51123046875, 0.39453125, -1.0048828125, 0.32421875, 0.4326171875, 0.0254669189453125, 0.25830078125, -0.183349609375, 0.306884765625, -0.2301025390625, -0.8330078125, 1.205078125, -0.6279296875, 0.03192138671875, 0.272705078125, -0.15869140625, -0.2156982421875, 0.31640625, 0.055419921875, 0.70458984375, -0.345458984375, 0.53125, 0.75, -0.69677734375, 1.0107421875, 0.08782958984375, -0.4443359375, 1.564453125, 0.306396484375, -0.09619140625, 1.052734375, -0.1197509765625, -0.78466796875, 0.7451171875, -0.8359375, 0.27734375, 0.314453125, 0.2052001953125, -0.471435546875, 0.18310546875, 0.005218505859375, 0.1318359375, 0.7607421875, 0.112060546875, -0.499755859375, 0.488037109375, -0.0975341796875, 0.7998046875, -0.1796875, 0.63671875, -0.4326171875, -0.2220458984375, -0.01311492919921875, -0.841796875, 0.1424560546875, -0.2342529296875, 0.109619140625, 0.912109375, 0.6416015625, 1.09765625, 0.97216796875, -0.154296875, 0.38037109375, 0.1749267578125, -0.381103515625, 0.11431884765625, 0.1895751953125, 0.68115234375, 0.288818359375, 0.2464599609375, -0.2015380859375, -0.356201171875, -0.438232421875, -0.5888671875, -0.153076171875, 0.701171875, -0.27490234375, 0.282958984375, -0.183349609375, 0.00629425048828125, -0.98388671875, 0.06268310546875, 0.032257080078125, -0.96875, -0.431884765625, 0.71630859375, -0.0185089111328125, 0.9296875, -0.07379150390625, -0.5166015625, 0.074462890625, 1.0107421875, -0.069091796875, 0.2685546875, 0.5224609375, 0.300537109375, -0.387451171875, 0.0293426513671875, 0.3193359375, -0.59619140625, -0.828125, 0.63134765625, -0.1678466796875, 0.01137542724609375, -0.2325439453125, 0.65625, 0.2386474609375, 0.373779296875, -0.290771484375, 0.078857421875, 0.3623046875, 1.404296875, 0.07568359375, 0.6640625, 0.286376953125, 0.67529296875, 0.435791015625, 0.89453125, 0.4736328125, 0.261962890625, 0.63623046875, 0.83544921875, 0.267822265625, 0.20263671875, 0.2001953125, 0.37353515625, 0.468017578125, 1.1337890625, 0.200439453125, 0.40234375, -0.11907958984375, -0.30712890625, -0.425048828125, 0.2386474609375, -0.33056640625, 0.59765625, -0.1390380859375, 0.638671875, -0.318359375, -0.13525390625, 0.2059326171875, 0.82373046875, -0.92041015625, -0.705078125, -0.0014448165893554688, -0.06585693359375, 0.2047119140625, 0.362060546875, 0.39453125, 0.106689453125, 0.4013671875, 0.54833984375, -0.2099609375, -0.2734375, -0.70703125, -0.68505859375, -1.109375, -0.461181640625, -0.990234375, -0.168212890625, 0.1552734375, -0.9326171875, 0.341796875, -0.499267578125, -0.38818359375, 0.39013671875, -0.52490234375, 0.69970703125, -0.568359375, 0.85009765625, -0.681640625, 0.427978515625, 0.04437255859375, 0.98095703125, -0.46240234375, -0.3466796875, 0.03802490234375, -0.55615234375, 0.6171875, 0.214111328125, 0.73583984375, -0.012481689453125, -0.56982421875, -0.9228515625, -0.385009765625, 0.08642578125, -0.49951171875, 0.169677734375, -0.4755859375, 0.99365234375, 0.5302734375, -0.360107421875, 0.8349609375, 1.119140625, -1.177734375, 0.415283203125, 0.473388671875, 0.131103515625, -0.7275390625, 1.353515625, 0.444091796875, 0.4453125, -0.5595703125, -0.400390625, -0.591796875, -0.059326171875, 0.446533203125, -0.62744140625, -0.0919189453125, 0.50634765625, -0.17724609375, -1.2958984375, 0.4658203125, -1.26171875, -0.389892578125, -0.69482421875, -0.467041015625, 0.943359375, 0.75146484375, 0.1490478515625, -0.5390625, -0.54833984375, -0.326171875, 0.4501953125, 0.56494140625, -0.55126953125, 0.296630859375, 0.7197265625, 0.1259765625, 0.33544921875, -0.17822265625, -0.423095703125, -0.1754150390625, 0.10650634765625, 0.2415771484375, 0.7626953125, -0.053680419921875, 0.32666015625, -0.004261016845703125, 0.76953125, -1.02734375, -0.37353515625, -0.4443359375, 1.0087890625, 0.6826171875, 0.66650390625, 0.60986328125, -0.5048828125, -0.47900390625, -0.95703125, 0.76953125, 0.06982421875, 0.85791015625, -0.467041015625, 0.7529296875, 0.1668701171875, -0.943359375, 0.54345703125, -0.58935546875, 0.0284881591796875, 0.93603515625, -0.361572265625, 1.1005859375, -0.5849609375, 0.297607421875, -0.087646484375, 0.09356689453125, 0.410400390625, 0.497802734375, 0.488037109375, -0.338623046875, -0.355224609375, -0.14306640625, 0.0791015625, -0.1048583984375, -0.6884765625, 0.314453125, -0.248046875, -0.259033203125, -1.001953125, 0.490966796875, 0.66748046875, 0.77099609375, -0.1854248046875, 0.479248046875, 0.35546875, 0.3662109375, 0.495361328125, -0.129638671875, 0.394287109375, -0.9794921875, 0.61181640625, 0.25927734375, -0.48388671875, -0.525390625, -0.544921875, -0.402099609375, 0.25341796875, -0.157958984375, -0.01107025146484375, -1.033203125, 0.255126953125, 0.0419921875, 0.408935546875, -1.0830078125, -0.01003265380859375, -0.62548828125, 0.626953125, 0.224853515625, -1.033203125, 0.5390625, -0.9443359375, 0.368408203125, 0.68994140625, 0.0665283203125, -0.5712890625, -0.09368896484375, -1.009765625, -0.53076171875, -0.106689453125, 0.939453125, -0.0997314453125, -0.0662841796875, -0.94873046875, 0.357421875, 0.4970703125, -0.49609375, -0.07342529296875, -0.400390625, 0.521484375, -0.034423828125, 1.0234375, -0.50927734375, -0.916015625, 0.09033203125, -0.90869140625, 0.2607421875, -0.6201171875, 0.5400390625, 0.052825927734375, -0.048553466796875, 0.12322998046875, 0.24951171875, -0.440185546875, 0.1849365234375, -0.126220703125, 0.30615234375, -0.8486328125, -0.81396484375, 0.5732421875, -0.046295166015625, -0.57373046875, 0.92138671875, 0.179931640625, -0.429931640625, 0.0924072265625, 0.50439453125, -0.43310546875, 0.43115234375, -0.64013671875, 0.1905517578125, -0.182373046875, -0.8251953125, -0.1229248046875, -0.423583984375, 0.5859375, -0.1531982421875, -1.0712890625, -0.2392578125, -0.998046875, -0.408203125, -0.1885986328125, -1.056640625, 0.333740234375, 0.01139068603515625, -0.1981201171875, 0.1529541015625, -0.08929443359375, -0.685546875, -0.525390625, -0.363525390625, -0.3154296875, 0.336181640625, 0.580078125, 1.091796875, 0.189208984375, -0.19677734375, -0.5185546875, 0.07281494140625, 0.09197998046875, -0.671875, -0.44384765625, 0.03839111328125, -0.2283935546875, -0.282958984375, 0.444091796875, -0.2266845703125, 0.2100830078125, 0.71484375, 0.394287109375, 0.328857421875, 0.08135986328125, -0.8056640625, 0.986328125, 0.10174560546875, -1.1396484375, -0.76171875, 0.36669921875, 0.1470947265625, 0.83984375, 0.186767578125, -0.351318359375, -0.86279296875, -1.052734375, 0.015777587890625, -0.68603515625, -0.11700439453125, -1.1298828125, -0.51806640625, -0.1937255859375, 0.6005859375, 0.1029052734375, 0.10394287109375, 0.2412109375, -1.240234375, 0.06072998046875, -0.49658203125, -0.21142578125, -1.19140625, -0.329345703125, -0.230712890625, 1.1650390625, 0.464111328125, 0.28076171875, 0.06072998046875, -0.0330810546875, -0.07696533203125, -0.3291015625, -0.51025390625, -0.2452392578125, -0.07763671875, -0.10223388671875, -0.394775390625, 0.09307861328125, -0.56689453125, 0.88623046875, -0.853515625, 0.134521484375, -0.07830810546875, -0.2080078125, -0.261474609375, -0.3095703125, 1.1259765625, -0.438232421875, 0.00592803955078125, -0.38818359375, 0.55029296875, 0.97509765625, -0.5625, -0.2005615234375, -0.8515625, -0.67138671875, -1.1298828125, 0.568359375, -0.7109375, 0.043548583984375, -0.6611328125, -0.361083984375, 1.19921875, -0.2025146484375, 0.44482421875, 1.1767578125, 0.1221923828125, 0.295166015625, -0.6201171875, 0.92333984375, 0.416015625, -0.72265625, -0.28857421875, -0.234130859375, -0.896484375, 0.2454833984375, -0.33837890625, -1.095703125, -0.433349609375, 0.55712890625, 1.193359375, -0.01898193359375, 1.169921875, -0.257080078125, -0.95849609375, -0.407470703125, 0.77392578125, 0.457763671875, 0.1939697265625, 0.9833984375, 0.17333984375, -0.216552734375, 0.186767578125, -0.1734619140625, -0.1895751953125, -0.12176513671875, 1.3271484375, -0.25048828125, -0.6962890625, 0.57666015625, 0.73681640625, -1.3349609375, -0.8720703125, -0.30712890625, -0.147705078125, -0.360107421875, -0.6494140625, 0.54736328125, 0.42822265625, -0.349365234375, -0.1505126953125, 0.61083984375, -0.4453125, 0.447509765625, 0.2130126953125, 0.15966796875, -0.42578125, 0.337890625, 0.45751953125, -0.61865234375, -0.52880859375, -0.458251953125, 0.2880859375, -0.283447265625, 0.2108154296875, 0.66943359375, -0.59912109375, -0.05206298828125, 0.36083984375, -0.28515625, 0.8369140625, -0.6015625, -0.798828125, -0.01027679443359375, -0.6923828125, -0.67236328125, -0.2247314453125, 0.363525390625, -0.2177734375, 0.56787109375, -0.348388671875, -0.312744140625, 0.31884765625, 0.365478515625, -0.1534423828125, -0.98681640625, -0.387451171875, -1.142578125, -0.39697265625, -0.453125, -0.51904296875, -0.29443359375, 0.346435546875, 0.4755859375, -0.64404296875, 0.0731201171875, 0.9453125, -0.325927734375, 1.0576171875, -0.7421875, 0.1365966796875, -0.46728515625, -0.6953125, -0.548828125, 0.10711669921875, -0.3466796875, 0.1185302734375, -0.177490234375, 0.814453125, -0.10601806640625, 0.1585693359375, -0.349365234375, 0.338623046875, -0.2166748046875, -0.150390625, 0.251220703125, 0.1900634765625, -0.08502197265625, 0.66796875, 0.296142578125, -0.096435546875, 0.453857421875, -0.321044921875, -0.4033203125, -0.471435546875, 0.697265625, 0.51904296875, -0.29248046875, -0.20654296875, -0.189208984375, -0.1385498046875, -0.81982421875, 0.38916015625, -0.273193359375, 0.0335693359375, -0.3681640625, -0.468017578125, 0.62109375, 1.1044921875, -0.3251953125, 0.257568359375, 0.1029052734375, 0.322998046875, 0.27490234375, 0.62841796875, -0.07720947265625, 0.498779296875, -0.1800537109375, 0.0017642974853515625, 0.031890869140625, 0.59326171875, 0.058135986328125, 0.28369140625, -0.375244140625, -0.7373046875, -1.0791015625, -0.1790771484375, 0.08245849609375, 0.42041015625, 0.1331787109375, -0.48876953125, 0.0013513565063476562, -0.145263671875, -0.434814453125, 0.375732421875, -0.96630859375, -1.0078125, 0.339111328125, -0.3544921875, -0.74951171875, -0.19189453125, -0.54345703125, 0.136962890625, 0.200439453125, 0.2354736328125, -0.493896484375, 0.467041015625, 0.1551513671875, 0.69140625, -0.3251953125, -0.2484130859375, -0.1396484375, 0.08404541015625, -0.9462890625, -0.56884765625, 0.1414794921875, 0.88671875, 0.049041748046875, -0.394287109375, -0.564453125, -0.002704620361328125, -0.30712890625, 0.38623046875, -0.59521484375, -0.154541015625, -0.1717529296875, 0.7451171875, -0.86669921875, 0.180419921875, 0.06842041015625, 0.266357421875, 0.20556640625, -0.5029296875, -0.93798828125, 0.74169921875, 0.416015625, -0.09393310546875, 0.61865234375, 0.037567138671875, 0.7119140625, -0.11676025390625, -0.10089111328125, -0.0246734619140625, 0.64111328125, 0.47900390625, 0.55029296875, 0.19091796875, 0.79052734375, 0.458984375, 0.172607421875, -0.337890625, 0.92333984375, 0.304931640625, 0.1866455078125, 0.10272216796875, -0.1973876953125, -0.1431884765625, 0.1685791015625, -0.473388671875, -0.034393310546875, -0.58349609375, -0.1297607421875, -0.342041015625, -0.5615234375, 0.9599609375, 0.0006618499755859375, -0.231201171875, -0.005275726318359375, -0.439697265625, 0.326416015625, 0.7451171875, -0.035797119140625, 0.00206756591796875, 0.9404296875, 0.95166015625, 0.27880859375, 0.52099609375, 0.2369384765625, 0.053314208984375, -0.4990234375, 0.1563720703125, 0.2181396484375, 0.047149658203125, -0.467529296875, -0.8955078125, -0.970703125, 0.68994140625, 0.045257568359375, 0.178955078125, 0.4287109375, -0.5185546875, -0.1746826171875, -0.46533203125, 0.947265625, -0.8271484375, 0.414306640625, 0.324951171875, 0.07513427734375, -0.62353515625, 0.6064453125, -0.345458984375, 0.212890625, 0.5322265625, 0.8173828125, -0.0699462890625, 1.63671875, 0.2705078125, -0.06756591796875, -0.06829833984375, 0.59765625, -0.255126953125, -0.48583984375, -0.487060546875, -0.54052734375, -0.160888671875, -0.5283203125, -0.475341796875, -0.1640625, 0.8525390625, 0.03131103515625, -0.90869140625, -0.359375, 0.1502685546875, -0.62109375, 0.64208984375, 0.2919921875, 0.28369140625, 0.1663818359375, 0.045257568359375, 0.0830078125, -0.40478515625, 0.2001953125, -0.435546875, 0.67578125, -0.73388671875, -0.4384765625, -0.54931640625, -0.39892578125, 0.0897216796875, 0.2198486328125, -0.4140625, -0.74658203125, 0.255615234375, 0.4423828125, 0.13623046875, -0.09906005859375, -0.391845703125, 0.0955810546875, 1.1943359375, 0.79345703125, -0.297119140625, 0.83642578125, 0.3076171875, -0.27880859375, 0.1282958984375, -0.29736328125, 0.5537109375, 0.1690673828125, -0.08184814453125, -0.392578125, 0.177978515625, -0.97216796875, -1.2919921875, -0.30908203125, 0.48876953125, 0.282958984375, -0.71044921875, -1.1328125, -0.53173828125, -0.5634765625, -0.359619140625, -0.64404296875, 0.59326171875, -0.2265625, -0.302978515625, -0.058868408203125, -1.2685546875, 4.29296875, 0.87060546875, 0.5888671875, 0.03900146484375, 0.288330078125, 1.0361328125, 0.6494140625, -0.4921875, 0.1292724609375, -0.57861328125, 0.398193359375, -0.67724609375, -0.101806640625, 0.9091796875, 0.252197265625, 0.70263671875, -0.5400390625, 0.37060546875, -0.0743408203125, -0.83984375, -0.794921875, 0.353271484375, 0.19384765625, 0.68505859375, 0.123046875, 0.30908203125, 0.33740234375, -0.6875, -0.06915283203125, -0.84033203125, 0.34716796875, -0.51611328125, 0.982421875, 0.07501220703125, -0.03692626953125, 0.732421875, 0.43603515625, -0.6923828125, -0.314697265625, 0.01904296875, -0.1817626953125, -0.0243377685546875, 0.68212890625, -0.67822265625, 0.0235748291015625, 0.66357421875, -1.0361328125, 0.36181640625, 0.399658203125, -1.0732421875, 0.90283203125, -0.607421875, 0.67333984375, -0.5546875, -0.623046875, -0.013885498046875, 0.0309295654296875, -0.26611328125, -0.30126953125, 0.430908203125, -0.04010009765625, 0.1790771484375, 0.22607421875, 0.6884765625, -1.130859375, 0.50244140625, 0.183349609375, 0.10498046875, -0.52197265625, -0.293701171875, -0.005535125732421875, -0.1036376953125, -0.300537109375, -0.362060546875, 0.88623046875, 0.2412109375, -0.61865234375, 0.409423828125, 0.75146484375, -0.74267578125, 0.0885009765625, -0.5625, -0.2154541015625, -0.380615234375, 0.61328125, 0.84375, -0.568359375, -0.638671875, -0.35009765625, 0.55126953125, 0.736328125, 0.78955078125, -0.1571044921875, -0.55810546875, -0.2022705078125 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Submitted Solution: ``` s = input() n = len(s) dp2,dp3=[0 for i in range(n)],[0 for i in range(n)] if(n<7): print(0) else: if n-2>4: dp2[n-2]=1 if n-3>4: dp3[n-3]=1; i=n-4 while i>=5: dp2[i]=(dp3[i+2] | (dp2[i+2] & (s[i:i+2]!=s[i+2:i+4]) ) ) dp3[i]=dp2[i+3] | (dp3[i+3] & (s[i:i+3]!=s[i+3:i+6]) ) i=i-1 a=set() for i in range(n): if dp2[i]:a.add(s[i:i+2]) if dp3[i]:a.add(s[i:i+3]) a=sorted(list(a)) print(len(a)) for i in a: print(i) ``` Yes
5,473
[ 0.2012939453125, 0.11944580078125, 0.096923828125, 0.01397705078125, -0.185302734375, 0.053863525390625, 0.095947265625, -0.163330078125, 0.16259765625, 0.59228515625, 1.19921875, -0.42724609375, 0.266357421875, -1.048828125, -0.6328125, -0.289306640625, -0.474853515625, -0.8125, -0.7421875, -0.09234619140625, -0.0423583984375, -0.298828125, -1.271484375, 0.02203369140625, -0.25537109375, 0.91650390625, 0.54052734375, -0.09820556640625, 1.0625, 0.89501953125, -0.45703125, -0.5224609375, 0.6552734375, -0.97998046875, -0.4541015625, -0.1654052734375, 0.458740234375, -0.87060546875, -0.052459716796875, -0.57666015625, 0.19970703125, -0.83740234375, 0.361572265625, -0.492431640625, -0.89697265625, 0.189208984375, -0.18359375, -0.59228515625, -0.2032470703125, -0.767578125, 0.41357421875, -0.10009765625, 0.55419921875, -0.23095703125, 0.3037109375, -0.0211334228515625, 0.1376953125, -0.303955078125, -0.6435546875, 0.481201171875, 0.1573486328125, 0.5390625, 0.204833984375, -0.5888671875, -0.12274169921875, 0.4375, -0.052215576171875, -0.1097412109375, 0.29443359375, -0.67724609375, -0.281494140625, 0.04266357421875, -0.31396484375, -0.347900390625, -0.42822265625, -0.0758056640625, 0.5009765625, -0.061248779296875, -0.71728515625, 0.7509765625, 0.2431640625, 1.17578125, 0.7431640625, 0.1343994140625, -0.204833984375, -0.487060546875, -0.0256805419921875, 0.4384765625, 0.54931640625, 0.2083740234375, -0.27099609375, 0.51611328125, -0.94775390625, -0.20849609375, 0.85986328125, 0.34375, -0.52490234375, 0.50537109375, 0.18603515625, 0.464599609375, 1.083984375, 0.7353515625, -0.2685546875, 1.0810546875, -0.7138671875, -0.0194091796875, 0.045623779296875, -0.07525634765625, 0.1383056640625, -0.290283203125, -0.069091796875, 0.040252685546875, 0.4482421875, 0.2939453125, -0.68212890625, 1.0380859375, -0.525390625, 0.39892578125, -1.001953125, 0.340576171875, 0.428466796875, 0.0198822021484375, 0.261474609375, -0.195068359375, 0.30517578125, -0.2398681640625, -0.8271484375, 1.21484375, -0.63623046875, 0.0200653076171875, 0.255859375, -0.1529541015625, -0.2265625, 0.316650390625, 0.05389404296875, 0.71484375, -0.332275390625, 0.52392578125, 0.7578125, -0.689453125, 1.009765625, 0.09033203125, -0.436767578125, 1.5615234375, 0.30322265625, -0.09100341796875, 1.068359375, -0.1126708984375, -0.79736328125, 0.77197265625, -0.85546875, 0.285888671875, 0.334716796875, 0.20166015625, -0.47021484375, 0.1829833984375, 0.0081329345703125, 0.1424560546875, 0.7578125, 0.11334228515625, -0.48486328125, 0.50244140625, -0.09320068359375, 0.79931640625, -0.2034912109375, 0.66064453125, -0.442626953125, -0.2218017578125, -0.031524658203125, -0.8515625, 0.129638671875, -0.220458984375, 0.11578369140625, 0.91796875, 0.62841796875, 1.1103515625, 0.95849609375, -0.154296875, 0.39501953125, 0.1656494140625, -0.369873046875, 0.1072998046875, 0.1844482421875, 0.6904296875, 0.294677734375, 0.24609375, -0.203369140625, -0.373779296875, -0.44189453125, -0.58642578125, -0.14404296875, 0.70947265625, -0.26416015625, 0.274169921875, -0.1865234375, 0.006011962890625, -0.966796875, 0.06658935546875, 0.036163330078125, -0.986328125, -0.434326171875, 0.720703125, -0.027099609375, 0.92724609375, -0.08538818359375, -0.53271484375, 0.0889892578125, 1.0078125, -0.0491943359375, 0.27197265625, 0.53759765625, 0.291259765625, -0.40283203125, 0.030242919921875, 0.30712890625, -0.58447265625, -0.84033203125, 0.63818359375, -0.193603515625, 0.01357269287109375, -0.2430419921875, 0.6728515625, 0.2340087890625, 0.3642578125, -0.300048828125, 0.09197998046875, 0.374267578125, 1.4033203125, 0.077880859375, 0.65087890625, 0.2880859375, 0.67041015625, 0.449462890625, 0.90869140625, 0.4677734375, 0.263671875, 0.64794921875, 0.83349609375, 0.273681640625, 0.2080078125, 0.176025390625, 0.374267578125, 0.4736328125, 1.138671875, 0.20556640625, 0.407958984375, -0.1104736328125, -0.282470703125, -0.40966796875, 0.2314453125, -0.31494140625, 0.58837890625, -0.140380859375, 0.6318359375, -0.33740234375, -0.13330078125, 0.2130126953125, 0.81396484375, -0.93603515625, -0.72265625, 0.00814056396484375, -0.056640625, 0.199951171875, 0.35009765625, 0.40380859375, 0.1048583984375, 0.391357421875, 0.54541015625, -0.2216796875, -0.265869140625, -0.7099609375, -0.68408203125, -1.1201171875, -0.456298828125, -0.98974609375, -0.1683349609375, 0.166748046875, -0.9423828125, 0.34716796875, -0.489501953125, -0.394287109375, 0.38818359375, -0.52587890625, 0.68359375, -0.56982421875, 0.853515625, -0.6796875, 0.44677734375, 0.04345703125, 0.984375, -0.478271484375, -0.341064453125, 0.038177490234375, -0.548828125, 0.61474609375, 0.2357177734375, 0.72607421875, -0.01082611083984375, -0.5673828125, -0.939453125, -0.375244140625, 0.07855224609375, -0.50634765625, 0.1614990234375, -0.49267578125, 0.986328125, 0.54150390625, -0.35498046875, 0.84521484375, 1.125, -1.181640625, 0.4189453125, 0.466064453125, 0.1400146484375, -0.7373046875, 1.3818359375, 0.451171875, 0.441162109375, -0.55322265625, -0.398681640625, -0.5888671875, -0.051116943359375, 0.44873046875, -0.630859375, -0.10302734375, 0.498779296875, -0.1573486328125, -1.2939453125, 0.46435546875, -1.265625, -0.385009765625, -0.703125, -0.46923828125, 0.94482421875, 0.77001953125, 0.1336669921875, -0.55078125, -0.5595703125, -0.335693359375, 0.452880859375, 0.56591796875, -0.5517578125, 0.29443359375, 0.7314453125, 0.12164306640625, 0.343994140625, -0.184326171875, -0.41796875, -0.1728515625, 0.10302734375, 0.227294921875, 0.76904296875, -0.0609130859375, 0.3349609375, -0.002162933349609375, 0.7880859375, -1.0400390625, -0.38525390625, -0.45458984375, 0.98486328125, 0.67333984375, 0.66455078125, 0.6328125, -0.51904296875, -0.47119140625, -0.95703125, 0.77490234375, 0.05731201171875, 0.86767578125, -0.443115234375, 0.77978515625, 0.176513671875, -0.9482421875, 0.54736328125, -0.58349609375, 0.016693115234375, 0.953125, -0.377197265625, 1.111328125, -0.5751953125, 0.31787109375, -0.082763671875, 0.0909423828125, 0.415771484375, 0.50048828125, 0.49755859375, -0.349609375, -0.369873046875, -0.15185546875, 0.07879638671875, -0.098388671875, -0.68408203125, 0.305419921875, -0.247802734375, -0.25537109375, -1.015625, 0.4833984375, 0.67431640625, 0.7705078125, -0.16357421875, 0.459228515625, 0.369140625, 0.372314453125, 0.50244140625, -0.1263427734375, 0.392333984375, -0.99755859375, 0.630859375, 0.266845703125, -0.49169921875, -0.53857421875, -0.53515625, -0.416015625, 0.27099609375, -0.1761474609375, -0.01248931884765625, -1.05078125, 0.26025390625, 0.040802001953125, 0.4150390625, -1.0732421875, -0.0032253265380859375, -0.6083984375, 0.63623046875, 0.244384765625, -1.04296875, 0.5380859375, -0.94091796875, 0.365966796875, 0.68408203125, 0.06744384765625, -0.5791015625, -0.0804443359375, -1.0146484375, -0.51708984375, -0.0992431640625, 0.939453125, -0.104736328125, -0.04486083984375, -0.9521484375, 0.362548828125, 0.499755859375, -0.52099609375, -0.0799560546875, -0.40478515625, 0.51416015625, -0.048004150390625, 1.04296875, -0.51318359375, -0.931640625, 0.10784912109375, -0.91015625, 0.27294921875, -0.63525390625, 0.5576171875, 0.05352783203125, -0.05242919921875, 0.12322998046875, 0.23828125, -0.438720703125, 0.17822265625, -0.1021728515625, 0.298095703125, -0.8505859375, -0.822265625, 0.5771484375, -0.03692626953125, -0.578125, 0.93017578125, 0.1800537109375, -0.42529296875, 0.08673095703125, 0.5185546875, -0.435546875, 0.42919921875, -0.6533203125, 0.1907958984375, -0.1978759765625, -0.81201171875, -0.1263427734375, -0.419921875, 0.6064453125, -0.1478271484375, -1.0625, -0.225341796875, -0.9990234375, -0.4072265625, -0.203857421875, -1.052734375, 0.3330078125, 0.01461029052734375, -0.1981201171875, 0.1649169921875, -0.103759765625, -0.68603515625, -0.52880859375, -0.36474609375, -0.308349609375, 0.34765625, 0.5859375, 1.1015625, 0.1949462890625, -0.1866455078125, -0.5146484375, 0.06207275390625, 0.0982666015625, -0.68310546875, -0.419677734375, 0.0309295654296875, -0.2073974609375, -0.291015625, 0.442138671875, -0.2125244140625, 0.2005615234375, 0.71826171875, 0.392333984375, 0.333984375, 0.05987548828125, -0.82470703125, 0.99609375, 0.10382080078125, -1.1435546875, -0.77001953125, 0.361328125, 0.1529541015625, 0.84521484375, 0.1968994140625, -0.356201171875, -0.87890625, -1.05859375, 0.01306915283203125, -0.685546875, -0.1341552734375, -1.1376953125, -0.51806640625, -0.187744140625, 0.619140625, 0.0806884765625, 0.0989990234375, 0.230712890625, -1.2490234375, 0.0462646484375, -0.51171875, -0.2279052734375, -1.2080078125, -0.34033203125, -0.226318359375, 1.1748046875, 0.444580078125, 0.276123046875, 0.075927734375, -0.0325927734375, -0.08551025390625, -0.33251953125, -0.50537109375, -0.26513671875, -0.07513427734375, -0.08709716796875, -0.401611328125, 0.09796142578125, -0.5849609375, 0.876953125, -0.861328125, 0.1334228515625, -0.08013916015625, -0.2130126953125, -0.256591796875, -0.31591796875, 1.12109375, -0.45849609375, 0.0018672943115234375, -0.368896484375, 0.552734375, 0.98974609375, -0.548828125, -0.2119140625, -0.85888671875, -0.69775390625, -1.0966796875, 0.55419921875, -0.70654296875, 0.0439453125, -0.65625, -0.366943359375, 1.1962890625, -0.192626953125, 0.44140625, 1.1640625, 0.11968994140625, 0.296630859375, -0.6328125, 0.92626953125, 0.414794921875, -0.716796875, -0.27734375, -0.2269287109375, -0.91259765625, 0.2415771484375, -0.353271484375, -1.095703125, -0.43359375, 0.56298828125, 1.197265625, -0.037109375, 1.15234375, -0.2469482421875, -0.97998046875, -0.41650390625, 0.77490234375, 0.470458984375, 0.206298828125, 0.99462890625, 0.164306640625, -0.2239990234375, 0.2109375, -0.1683349609375, -0.1802978515625, -0.12298583984375, 1.345703125, -0.261962890625, -0.697265625, 0.57763671875, 0.70947265625, -1.3251953125, -0.87744140625, -0.289306640625, -0.1298828125, -0.361083984375, -0.658203125, 0.5556640625, 0.410888671875, -0.35498046875, -0.150634765625, 0.61328125, -0.435791015625, 0.4609375, 0.21533203125, 0.1505126953125, -0.40966796875, 0.32275390625, 0.478515625, -0.62548828125, -0.53662109375, -0.447021484375, 0.2861328125, -0.2802734375, 0.220703125, 0.65673828125, -0.576171875, -0.041107177734375, 0.354736328125, -0.288330078125, 0.85400390625, -0.5947265625, -0.80419921875, 0.002166748046875, -0.669921875, -0.6904296875, -0.2396240234375, 0.376953125, -0.23681640625, 0.57666015625, -0.364013671875, -0.3125, 0.334228515625, 0.348388671875, -0.1453857421875, -0.97802734375, -0.365966796875, -1.1494140625, -0.397705078125, -0.4638671875, -0.5302734375, -0.304443359375, 0.35498046875, 0.484375, -0.64013671875, 0.052093505859375, 0.94970703125, -0.3173828125, 1.0625, -0.75, 0.12164306640625, -0.47998046875, -0.69580078125, -0.54736328125, 0.1165771484375, -0.358154296875, 0.1123046875, -0.1812744140625, 0.81787109375, -0.0897216796875, 0.156005859375, -0.327880859375, 0.32763671875, -0.212890625, -0.1328125, 0.250732421875, 0.1826171875, -0.06964111328125, 0.67236328125, 0.302734375, -0.09429931640625, 0.474365234375, -0.325927734375, -0.3955078125, -0.48095703125, 0.69189453125, 0.54736328125, -0.316650390625, -0.2098388671875, -0.194580078125, -0.138427734375, -0.83056640625, 0.4248046875, -0.26708984375, 0.0245208740234375, -0.35791015625, -0.47998046875, 0.63232421875, 1.1279296875, -0.314208984375, 0.253173828125, 0.0880126953125, 0.33740234375, 0.283203125, 0.6474609375, -0.08074951171875, 0.5107421875, -0.180908203125, -0.0147857666015625, 0.04443359375, 0.59423828125, 0.047088623046875, 0.278076171875, -0.368896484375, -0.76025390625, -1.0947265625, -0.1802978515625, 0.093017578125, 0.428466796875, 0.1370849609375, -0.48583984375, 0.00989532470703125, -0.1395263671875, -0.434326171875, 0.36865234375, -0.97900390625, -1.0166015625, 0.334716796875, -0.343505859375, -0.7490234375, -0.19482421875, -0.5322265625, 0.1513671875, 0.18408203125, 0.2374267578125, -0.481689453125, 0.44873046875, 0.1573486328125, 0.7099609375, -0.324462890625, -0.23779296875, -0.148193359375, 0.08673095703125, -0.95458984375, -0.572265625, 0.1324462890625, 0.88330078125, 0.04571533203125, -0.391357421875, -0.5576171875, -0.0147247314453125, -0.322998046875, 0.390625, -0.60107421875, -0.1710205078125, -0.1771240234375, 0.74853515625, -0.8544921875, 0.1781005859375, 0.055511474609375, 0.271484375, 0.1983642578125, -0.5107421875, -0.92236328125, 0.7578125, 0.4248046875, -0.0921630859375, 0.61572265625, 0.045654296875, 0.712890625, -0.11920166015625, -0.0987548828125, -0.037689208984375, 0.658203125, 0.4521484375, 0.56396484375, 0.1944580078125, 0.8115234375, 0.465576171875, 0.177001953125, -0.336669921875, 0.91748046875, 0.296630859375, 0.19189453125, 0.1103515625, -0.205078125, -0.14208984375, 0.1634521484375, -0.4892578125, -0.055633544921875, -0.59423828125, -0.1181640625, -0.349609375, -0.54541015625, 0.9658203125, -0.00262451171875, -0.237060546875, -0.0174560546875, -0.43701171875, 0.335205078125, 0.7490234375, -0.01235198974609375, 0.00600433349609375, 0.95166015625, 0.9599609375, 0.30078125, 0.5205078125, 0.2269287109375, 0.060302734375, -0.51123046875, 0.1640625, 0.2432861328125, 0.03662109375, -0.475341796875, -0.87939453125, -0.984375, 0.69140625, 0.041259765625, 0.1788330078125, 0.4306640625, -0.509765625, -0.1588134765625, -0.462890625, 0.935546875, -0.83056640625, 0.4169921875, 0.31396484375, 0.058837890625, -0.61962890625, 0.626953125, -0.360595703125, 0.1968994140625, 0.52197265625, 0.8271484375, -0.067626953125, 1.6328125, 0.279296875, -0.07220458984375, -0.0677490234375, 0.60986328125, -0.277587890625, -0.49560546875, -0.472900390625, -0.5263671875, -0.1605224609375, -0.5263671875, -0.473876953125, -0.1629638671875, 0.85302734375, 0.040313720703125, -0.91015625, -0.371337890625, 0.146728515625, -0.650390625, 0.64892578125, 0.279296875, 0.2900390625, 0.1632080078125, 0.034393310546875, 0.061309814453125, -0.399169921875, 0.2073974609375, -0.418212890625, 0.6904296875, -0.7275390625, -0.436279296875, -0.5732421875, -0.4208984375, 0.07244873046875, 0.2259521484375, -0.409423828125, -0.76123046875, 0.267578125, 0.440185546875, 0.1207275390625, -0.10198974609375, -0.384765625, 0.0894775390625, 1.181640625, 0.78759765625, -0.299560546875, 0.8349609375, 0.318603515625, -0.2841796875, 0.1287841796875, -0.309814453125, 0.5517578125, 0.1505126953125, -0.06353759765625, -0.3857421875, 0.1854248046875, -0.9794921875, -1.2861328125, -0.302490234375, 0.48779296875, 0.291748046875, -0.72119140625, -1.1435546875, -0.53369140625, -0.5673828125, -0.360107421875, -0.6337890625, 0.60498046875, -0.216796875, -0.2890625, -0.059173583984375, -1.2578125, 4.2734375, 0.86328125, 0.603515625, 0.040252685546875, 0.3037109375, 1.0419921875, 0.64892578125, -0.50341796875, 0.125732421875, -0.5869140625, 0.403564453125, -0.685546875, -0.12017822265625, 0.91845703125, 0.259033203125, 0.72802734375, -0.52880859375, 0.36279296875, -0.06793212890625, -0.841796875, -0.77197265625, 0.32666015625, 0.192138671875, 0.68994140625, 0.13232421875, 0.321044921875, 0.355224609375, -0.6865234375, -0.08380126953125, -0.84326171875, 0.368896484375, -0.51416015625, 0.9892578125, 0.08056640625, -0.044464111328125, 0.71728515625, 0.43310546875, -0.71240234375, -0.311279296875, -0.00496673583984375, -0.19482421875, -0.00807952880859375, 0.68701171875, -0.6845703125, 0.0269775390625, 0.67529296875, -1.0302734375, 0.35595703125, 0.390869140625, -1.0986328125, 0.91845703125, -0.59716796875, 0.67529296875, -0.5537109375, -0.62060546875, -0.0197601318359375, 0.0310211181640625, -0.264892578125, -0.29296875, 0.432373046875, -0.03900146484375, 0.17822265625, 0.2291259765625, 0.70263671875, -1.146484375, 0.5087890625, 0.1888427734375, 0.107177734375, -0.5283203125, -0.291259765625, -0.0097198486328125, -0.097900390625, -0.3076171875, -0.3603515625, 0.88720703125, 0.257568359375, -0.62158203125, 0.3818359375, 0.7607421875, -0.75, 0.061859130859375, -0.5732421875, -0.20361328125, -0.377685546875, 0.61865234375, 0.837890625, -0.57080078125, -0.6484375, -0.341796875, 0.54638671875, 0.75537109375, 0.77880859375, -0.188720703125, -0.58740234375, -0.22265625 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Submitted Solution: ``` s = input() if len(s) <= 5: print(0) else: words = set() s = s[5:] r = len(s) for j in range(r, 1, -1): if j == r - 1: continue if j == 2: words.add(s[0:2]) continue words.add(s[j - 2:j]) words.add(s[j - 3:j]) print(len(words)) for word in sorted(words): print(word) ``` No
5,474
[ 0.196044921875, 0.12384033203125, 0.093017578125, 0.005218505859375, -0.1807861328125, 0.065673828125, 0.07940673828125, -0.1734619140625, 0.1705322265625, 0.5986328125, 1.2109375, -0.406005859375, 0.278076171875, -1.04296875, -0.6376953125, -0.2890625, -0.49365234375, -0.80517578125, -0.75048828125, -0.1004638671875, -0.05218505859375, -0.300537109375, -1.2529296875, 0.01056671142578125, -0.252685546875, 0.9013671875, 0.53271484375, -0.09100341796875, 1.068359375, 0.904296875, -0.45263671875, -0.517578125, 0.6376953125, -0.9912109375, -0.455810546875, -0.181884765625, 0.4560546875, -0.888671875, -0.041900634765625, -0.56689453125, 0.1964111328125, -0.81005859375, 0.357421875, -0.5068359375, -0.931640625, 0.1973876953125, -0.1912841796875, -0.595703125, -0.200439453125, -0.76171875, 0.405517578125, -0.1002197265625, 0.54736328125, -0.25, 0.332275390625, -0.0196685791015625, 0.1363525390625, -0.29150390625, -0.64599609375, 0.4716796875, 0.151123046875, 0.54345703125, 0.2122802734375, -0.56298828125, -0.11566162109375, 0.448974609375, -0.050201416015625, -0.10986328125, 0.296875, -0.67578125, -0.279541015625, 0.0418701171875, -0.319580078125, -0.337158203125, -0.431884765625, -0.0576171875, 0.51806640625, -0.054046630859375, -0.7216796875, 0.7587890625, 0.2489013671875, 1.1669921875, 0.74609375, 0.1275634765625, -0.1953125, -0.483642578125, -0.028533935546875, 0.455078125, 0.54296875, 0.20703125, -0.271240234375, 0.51416015625, -0.95751953125, -0.2093505859375, 0.85302734375, 0.313720703125, -0.50830078125, 0.48974609375, 0.1953125, 0.46240234375, 1.056640625, 0.73046875, -0.26171875, 1.0673828125, -0.7099609375, -0.0169219970703125, 0.041229248046875, -0.08648681640625, 0.1341552734375, -0.28759765625, -0.07080078125, 0.04315185546875, 0.464111328125, 0.29248046875, -0.669921875, 1.048828125, -0.5263671875, 0.405517578125, -1.005859375, 0.327880859375, 0.43896484375, 0.0245361328125, 0.263427734375, -0.1947021484375, 0.298583984375, -0.2174072265625, -0.83544921875, 1.2119140625, -0.638671875, 0.0204620361328125, 0.265869140625, -0.1524658203125, -0.21044921875, 0.32373046875, 0.06439208984375, 0.70751953125, -0.326416015625, 0.53369140625, 0.7509765625, -0.6884765625, 1.001953125, 0.0982666015625, -0.43896484375, 1.5556640625, 0.307861328125, -0.10601806640625, 1.0517578125, -0.10986328125, -0.78759765625, 0.75537109375, -0.83935546875, 0.297119140625, 0.328369140625, 0.2066650390625, -0.453125, 0.1800537109375, 0.00020968914031982422, 0.12310791015625, 0.7724609375, 0.125732421875, -0.48876953125, 0.505859375, -0.09515380859375, 0.7900390625, -0.1749267578125, 0.64208984375, -0.433837890625, -0.213623046875, -0.0158538818359375, -0.84228515625, 0.1387939453125, -0.216064453125, 0.107666015625, 0.8994140625, 0.6435546875, 1.1123046875, 0.98046875, -0.1534423828125, 0.3818359375, 0.1583251953125, -0.398681640625, 0.1268310546875, 0.1788330078125, 0.685546875, 0.28173828125, 0.239990234375, -0.2054443359375, -0.350830078125, -0.448974609375, -0.58837890625, -0.14599609375, 0.70654296875, -0.252685546875, 0.2724609375, -0.204833984375, -0.006481170654296875, -0.97265625, 0.073974609375, 0.0193634033203125, -0.9931640625, -0.42724609375, 0.708984375, -0.0285797119140625, 0.92333984375, -0.07586669921875, -0.5205078125, 0.09454345703125, 1.0029296875, -0.05926513671875, 0.263916015625, 0.51611328125, 0.291015625, -0.392333984375, 0.031951904296875, 0.31005859375, -0.58447265625, -0.8212890625, 0.6376953125, -0.184326171875, 0.003154754638671875, -0.237548828125, 0.658203125, 0.222412109375, 0.3759765625, -0.302978515625, 0.07977294921875, 0.3701171875, 1.390625, 0.06610107421875, 0.65380859375, 0.304443359375, 0.68994140625, 0.44091796875, 0.900390625, 0.46630859375, 0.25634765625, 0.63623046875, 0.837890625, 0.26953125, 0.2130126953125, 0.1864013671875, 0.36572265625, 0.468505859375, 1.142578125, 0.2012939453125, 0.4033203125, -0.10400390625, -0.3017578125, -0.42529296875, 0.238037109375, -0.32421875, 0.5859375, -0.1337890625, 0.63427734375, -0.323974609375, -0.1312255859375, 0.210693359375, 0.8154296875, -0.92578125, -0.70458984375, 0.004489898681640625, -0.06744384765625, 0.21240234375, 0.3486328125, 0.388427734375, 0.1121826171875, 0.402587890625, 0.54736328125, -0.2149658203125, -0.2705078125, -0.70654296875, -0.6640625, -1.1123046875, -0.450927734375, -0.9970703125, -0.168212890625, 0.1531982421875, -0.92724609375, 0.3369140625, -0.49609375, -0.38720703125, 0.396240234375, -0.53662109375, 0.68896484375, -0.5693359375, 0.84130859375, -0.681640625, 0.43017578125, 0.040802001953125, 0.98291015625, -0.460205078125, -0.339111328125, 0.03070068359375, -0.54296875, 0.6171875, 0.215087890625, 0.74072265625, -0.015838623046875, -0.56201171875, -0.93701171875, -0.36962890625, 0.08184814453125, -0.51318359375, 0.168701171875, -0.47900390625, 0.982421875, 0.5380859375, -0.356689453125, 0.83544921875, 1.1201171875, -1.1787109375, 0.42626953125, 0.448974609375, 0.12371826171875, -0.73486328125, 1.353515625, 0.4326171875, 0.444091796875, -0.5361328125, -0.390869140625, -0.58056640625, -0.05865478515625, 0.447265625, -0.62109375, -0.08380126953125, 0.5048828125, -0.1531982421875, -1.3017578125, 0.466064453125, -1.2626953125, -0.383056640625, -0.71826171875, -0.44677734375, 0.9501953125, 0.75390625, 0.1346435546875, -0.54541015625, -0.548828125, -0.33740234375, 0.452880859375, 0.55615234375, -0.552734375, 0.295166015625, 0.7177734375, 0.1304931640625, 0.33984375, -0.1884765625, -0.420166015625, -0.1724853515625, 0.11163330078125, 0.2420654296875, 0.76953125, -0.058990478515625, 0.32275390625, 0.0162811279296875, 0.7685546875, -1.03125, -0.372314453125, -0.45849609375, 1.005859375, 0.6904296875, 0.662109375, 0.6201171875, -0.51318359375, -0.45947265625, -0.96630859375, 0.76953125, 0.065673828125, 0.8544921875, -0.4638671875, 0.77001953125, 0.1617431640625, -0.93017578125, 0.53662109375, -0.5849609375, 0.01995849609375, 0.9384765625, -0.35595703125, 1.1103515625, -0.57861328125, 0.304931640625, -0.09063720703125, 0.08721923828125, 0.39697265625, 0.4892578125, 0.482177734375, -0.336669921875, -0.373779296875, -0.1573486328125, 0.07415771484375, -0.103515625, -0.6884765625, 0.310302734375, -0.24072265625, -0.272705078125, -0.99609375, 0.48388671875, 0.650390625, 0.7802734375, -0.1796875, 0.469482421875, 0.369140625, 0.36669921875, 0.4921875, -0.126708984375, 0.402587890625, -0.9765625, 0.60791015625, 0.2418212890625, -0.482421875, -0.53857421875, -0.53076171875, -0.388427734375, 0.25244140625, -0.170166015625, -0.01763916015625, -1.029296875, 0.27001953125, 0.031829833984375, 0.39208984375, -1.080078125, -0.00328826904296875, -0.62060546875, 0.630859375, 0.2381591796875, -1.029296875, 0.533203125, -0.9248046875, 0.372802734375, 0.685546875, 0.07110595703125, -0.576171875, -0.09521484375, -1.0087890625, -0.50830078125, -0.10888671875, 0.94384765625, -0.106689453125, -0.045257568359375, -0.9501953125, 0.3583984375, 0.495361328125, -0.51171875, -0.08001708984375, -0.40869140625, 0.52001953125, -0.028564453125, 1.052734375, -0.5087890625, -0.93359375, 0.1053466796875, -0.9072265625, 0.266845703125, -0.623046875, 0.5517578125, 0.053924560546875, -0.0589599609375, 0.1058349609375, 0.2462158203125, -0.4443359375, 0.1795654296875, -0.11932373046875, 0.300537109375, -0.85107421875, -0.81640625, 0.5810546875, -0.046478271484375, -0.56005859375, 0.92236328125, 0.164306640625, -0.422607421875, 0.09283447265625, 0.51904296875, -0.43212890625, 0.421875, -0.64404296875, 0.1748046875, -0.1947021484375, -0.82421875, -0.1163330078125, -0.43701171875, 0.5888671875, -0.162841796875, -1.0703125, -0.2239990234375, -0.9931640625, -0.396484375, -0.189208984375, -1.056640625, 0.33544921875, 0.024078369140625, -0.1903076171875, 0.1351318359375, -0.097412109375, -0.681640625, -0.52587890625, -0.365234375, -0.30126953125, 0.326904296875, 0.57861328125, 1.0830078125, 0.193603515625, -0.1767578125, -0.529296875, 0.0672607421875, 0.0972900390625, -0.66796875, -0.4384765625, 0.033203125, -0.2171630859375, -0.270751953125, 0.440185546875, -0.21826171875, 0.2073974609375, 0.72265625, 0.38525390625, 0.3203125, 0.08282470703125, -0.81640625, 0.982421875, 0.10333251953125, -1.138671875, -0.77880859375, 0.36279296875, 0.1295166015625, 0.828125, 0.1859130859375, -0.350341796875, -0.85791015625, -1.06640625, 0.0087738037109375, -0.6884765625, -0.12225341796875, -1.140625, -0.51708984375, -0.1927490234375, 0.6005859375, 0.08721923828125, 0.10479736328125, 0.229736328125, -1.244140625, 0.054595947265625, -0.50146484375, -0.2210693359375, -1.189453125, -0.340576171875, -0.2178955078125, 1.1650390625, 0.449462890625, 0.291015625, 0.050262451171875, -0.037567138671875, -0.07818603515625, -0.32958984375, -0.49658203125, -0.259033203125, -0.08953857421875, -0.1016845703125, -0.40185546875, 0.08978271484375, -0.5791015625, 0.8828125, -0.83984375, 0.1396484375, -0.08355712890625, -0.2108154296875, -0.257568359375, -0.30126953125, 1.1103515625, -0.44287109375, 0.00736236572265625, -0.375244140625, 0.56689453125, 0.98388671875, -0.56103515625, -0.1986083984375, -0.85986328125, -0.681640625, -1.115234375, 0.55859375, -0.6982421875, 0.048858642578125, -0.6650390625, -0.360595703125, 1.1962890625, -0.187744140625, 0.450439453125, 1.169921875, 0.12841796875, 0.2783203125, -0.63330078125, 0.91357421875, 0.415283203125, -0.71630859375, -0.265380859375, -0.2276611328125, -0.91455078125, 0.255859375, -0.334228515625, -1.0849609375, -0.431396484375, 0.5703125, 1.1875, -0.0214996337890625, 1.15234375, -0.2431640625, -0.97265625, -0.422119140625, 0.76416015625, 0.457763671875, 0.188720703125, 0.98486328125, 0.1802978515625, -0.2064208984375, 0.199951171875, -0.18017578125, -0.1744384765625, -0.11346435546875, 1.328125, -0.254150390625, -0.69384765625, 0.56640625, 0.72119140625, -1.314453125, -0.859375, -0.299072265625, -0.1488037109375, -0.355224609375, -0.65234375, 0.55126953125, 0.40771484375, -0.334228515625, -0.146240234375, 0.607421875, -0.435302734375, 0.45263671875, 0.2012939453125, 0.1502685546875, -0.427734375, 0.327392578125, 0.4580078125, -0.62548828125, -0.51806640625, -0.442626953125, 0.287353515625, -0.300537109375, 0.22509765625, 0.65576171875, -0.58447265625, -0.042388916015625, 0.3623046875, -0.274169921875, 0.84228515625, -0.599609375, -0.79736328125, -0.0129241943359375, -0.6845703125, -0.68994140625, -0.244140625, 0.37158203125, -0.1978759765625, 0.576171875, -0.35302734375, -0.328857421875, 0.33154296875, 0.350341796875, -0.132080078125, -0.98828125, -0.380615234375, -1.12890625, -0.40087890625, -0.467529296875, -0.52783203125, -0.301025390625, 0.337646484375, 0.48681640625, -0.6171875, 0.06695556640625, 0.94287109375, -0.31396484375, 1.0498046875, -0.73876953125, 0.1265869140625, -0.470703125, -0.6943359375, -0.54150390625, 0.11846923828125, -0.347412109375, 0.11444091796875, -0.1807861328125, 0.80810546875, -0.088134765625, 0.1627197265625, -0.343505859375, 0.32373046875, -0.2176513671875, -0.140380859375, 0.268798828125, 0.194091796875, -0.06982421875, 0.6669921875, 0.298828125, -0.0921630859375, 0.46630859375, -0.324951171875, -0.386474609375, -0.474365234375, 0.6845703125, 0.5419921875, -0.3046875, -0.197265625, -0.1851806640625, -0.1495361328125, -0.81005859375, 0.389892578125, -0.271240234375, 0.016754150390625, -0.357666015625, -0.474609375, 0.62353515625, 1.126953125, -0.323974609375, 0.251708984375, 0.094482421875, 0.3310546875, 0.26806640625, 0.642578125, -0.0687255859375, 0.50341796875, -0.1871337890625, 0.0065765380859375, 0.035797119140625, 0.5830078125, 0.054229736328125, 0.263916015625, -0.3818359375, -0.751953125, -1.091796875, -0.17578125, 0.0830078125, 0.412109375, 0.137451171875, -0.482421875, 0.001220703125, -0.1531982421875, -0.419921875, 0.37744140625, -0.96240234375, -1.0029296875, 0.336181640625, -0.352783203125, -0.7607421875, -0.185302734375, -0.5400390625, 0.144775390625, 0.1943359375, 0.2423095703125, -0.487060546875, 0.454345703125, 0.1572265625, 0.71044921875, -0.313720703125, -0.23583984375, -0.150634765625, 0.0986328125, -0.94384765625, -0.5634765625, 0.15185546875, 0.85791015625, 0.03546142578125, -0.384521484375, -0.552734375, -0.0124664306640625, -0.313720703125, 0.38330078125, -0.58349609375, -0.1636962890625, -0.16943359375, 0.75048828125, -0.8564453125, 0.1793212890625, 0.064208984375, 0.268310546875, 0.187744140625, -0.5205078125, -0.94189453125, 0.75390625, 0.422607421875, -0.08282470703125, 0.61572265625, 0.045196533203125, 0.7099609375, -0.094970703125, -0.10577392578125, -0.0238800048828125, 0.65966796875, 0.47509765625, 0.55712890625, 0.1943359375, 0.80712890625, 0.455078125, 0.1649169921875, -0.344970703125, 0.916015625, 0.29150390625, 0.2003173828125, 0.10003662109375, -0.18896484375, -0.1322021484375, 0.1563720703125, -0.482421875, -0.0255584716796875, -0.591796875, -0.11492919921875, -0.349853515625, -0.55615234375, 0.96875, 0.00031280517578125, -0.2352294921875, -0.01357269287109375, -0.43603515625, 0.31298828125, 0.74658203125, -0.030303955078125, 0.00557708740234375, 0.9384765625, 0.951171875, 0.287109375, 0.51904296875, 0.23388671875, 0.052581787109375, -0.50244140625, 0.1572265625, 0.2332763671875, 0.0428466796875, -0.467529296875, -0.89306640625, -0.9716796875, 0.6904296875, 0.042144775390625, 0.1846923828125, 0.423828125, -0.51806640625, -0.16650390625, -0.456298828125, 0.9423828125, -0.81982421875, 0.406494140625, 0.317626953125, 0.08563232421875, -0.61083984375, 0.615234375, -0.34765625, 0.191650390625, 0.53271484375, 0.826171875, -0.07415771484375, 1.62890625, 0.2822265625, -0.07672119140625, -0.051605224609375, 0.59765625, -0.253173828125, -0.487060546875, -0.475830078125, -0.52685546875, -0.149169921875, -0.521484375, -0.471435546875, -0.1685791015625, 0.849609375, 0.0291748046875, -0.9052734375, -0.3720703125, 0.14111328125, -0.63720703125, 0.6494140625, 0.279052734375, 0.28466796875, 0.1671142578125, 0.046722412109375, 0.08404541015625, -0.390869140625, 0.2056884765625, -0.447998046875, 0.67626953125, -0.72607421875, -0.431396484375, -0.55029296875, -0.425048828125, 0.09033203125, 0.227783203125, -0.421142578125, -0.75, 0.25634765625, 0.42578125, 0.11279296875, -0.10150146484375, -0.381591796875, 0.0980224609375, 1.1826171875, 0.78564453125, -0.30322265625, 0.82763671875, 0.31982421875, -0.281982421875, 0.130126953125, -0.29833984375, 0.54638671875, 0.1470947265625, -0.07647705078125, -0.378173828125, 0.1866455078125, -0.96875, -1.287109375, -0.31591796875, 0.497802734375, 0.280517578125, -0.69482421875, -1.1337890625, -0.5302734375, -0.5634765625, -0.3583984375, -0.63623046875, 0.6005859375, -0.2364501953125, -0.302001953125, -0.06781005859375, -1.26953125, 4.296875, 0.85986328125, 0.587890625, 0.021484375, 0.278564453125, 1.0390625, 0.6494140625, -0.5068359375, 0.13623046875, -0.5693359375, 0.40185546875, -0.6904296875, -0.11761474609375, 0.90771484375, 0.25830078125, 0.72119140625, -0.52685546875, 0.36865234375, -0.07049560546875, -0.830078125, -0.7919921875, 0.332275390625, 0.1942138671875, 0.6787109375, 0.11669921875, 0.323974609375, 0.328857421875, -0.6923828125, -0.07177734375, -0.8447265625, 0.352294921875, -0.509765625, 0.9736328125, 0.0731201171875, -0.029937744140625, 0.72705078125, 0.436279296875, -0.6953125, -0.323486328125, 0.004749298095703125, -0.174560546875, -0.025848388671875, 0.6669921875, -0.68798828125, 0.0231170654296875, 0.66650390625, -1.0400390625, 0.35546875, 0.39208984375, -1.0849609375, 0.89697265625, -0.6015625, 0.6689453125, -0.55224609375, -0.62548828125, -0.005069732666015625, 0.033172607421875, -0.256591796875, -0.30419921875, 0.441650390625, -0.036224365234375, 0.1715087890625, 0.2205810546875, 0.70166015625, -1.150390625, 0.5009765625, 0.188720703125, 0.111083984375, -0.5322265625, -0.299072265625, 0.003856658935546875, -0.1177978515625, -0.30224609375, -0.35888671875, 0.884765625, 0.255859375, -0.62939453125, 0.38330078125, 0.7548828125, -0.75830078125, 0.08929443359375, -0.5673828125, -0.21728515625, -0.373779296875, 0.61279296875, 0.83642578125, -0.55712890625, -0.64306640625, -0.3369140625, 0.544921875, 0.74853515625, 0.7890625, -0.162353515625, -0.583984375, -0.220458984375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Submitted Solution: ``` for _ in range(1): st=input() n=len(st) if n<=6: print(0) continue i=5 d=set() for i in range(5,n-1): if i==n-4: d.add(str(st[i])+str(st[i+1])) elif i==n-3: d.add(str(st[i])+str(st[i+1])+str(st[i+2])) else: if i<=n-2: d.add(str(st[i])+str(st[i+1])) if i<=n-3: d.add(str(st[i]) + str(st[i + 1]) + str(st[i + 2])) arr=[] for i in d: arr.append(i) arr.sort() print(len(arr)) for i in arr: print(i) ``` No
5,475
[ 0.1932373046875, 0.1160888671875, 0.0894775390625, 0.0171051025390625, -0.1749267578125, 0.06060791015625, 0.0894775390625, -0.166259765625, 0.1573486328125, 0.59521484375, 1.2138671875, -0.4267578125, 0.2724609375, -1.068359375, -0.65087890625, -0.278076171875, -0.485595703125, -0.8154296875, -0.76025390625, -0.08453369140625, -0.048248291015625, -0.307373046875, -1.275390625, 0.02520751953125, -0.2410888671875, 0.90380859375, 0.55810546875, -0.09625244140625, 1.08203125, 0.91845703125, -0.42578125, -0.5380859375, 0.65478515625, -1.0009765625, -0.460693359375, -0.164306640625, 0.464111328125, -0.87255859375, -0.0396728515625, -0.5595703125, 0.210205078125, -0.83251953125, 0.3603515625, -0.5029296875, -0.9033203125, 0.196044921875, -0.1962890625, -0.5830078125, -0.2027587890625, -0.74462890625, 0.412353515625, -0.09051513671875, 0.55224609375, -0.25634765625, 0.31494140625, -0.021392822265625, 0.1435546875, -0.323974609375, -0.654296875, 0.46923828125, 0.1436767578125, 0.56005859375, 0.215576171875, -0.5888671875, -0.1241455078125, 0.453369140625, -0.05682373046875, -0.109619140625, 0.3037109375, -0.6962890625, -0.287841796875, 0.031646728515625, -0.322021484375, -0.37109375, -0.3876953125, -0.07086181640625, 0.521484375, -0.07073974609375, -0.69775390625, 0.75244140625, 0.24609375, 1.15234375, 0.72802734375, 0.146484375, -0.201904296875, -0.4873046875, -0.0299224853515625, 0.443603515625, 0.50830078125, 0.2144775390625, -0.281005859375, 0.515625, -0.9599609375, -0.2188720703125, 0.8515625, 0.33349609375, -0.5400390625, 0.49365234375, 0.1956787109375, 0.441650390625, 1.0693359375, 0.73681640625, -0.284423828125, 1.0732421875, -0.70849609375, -0.00896453857421875, 0.05584716796875, -0.08038330078125, 0.14990234375, -0.312255859375, -0.084716796875, 0.05303955078125, 0.440185546875, 0.293701171875, -0.69287109375, 1.037109375, -0.53564453125, 0.4091796875, -0.99072265625, 0.345458984375, 0.43505859375, 0.0478515625, 0.28466796875, -0.203125, 0.31640625, -0.2344970703125, -0.8193359375, 1.21484375, -0.65087890625, 0.01462554931640625, 0.244873046875, -0.162353515625, -0.23583984375, 0.34033203125, 0.058868408203125, 0.71923828125, -0.322998046875, 0.5224609375, 0.744140625, -0.68212890625, 1.01953125, 0.10650634765625, -0.440185546875, 1.5595703125, 0.289794921875, -0.0977783203125, 1.0654296875, -0.1082763671875, -0.78662109375, 0.78466796875, -0.85986328125, 0.2998046875, 0.326416015625, 0.2099609375, -0.44287109375, 0.1844482421875, 0.0115509033203125, 0.1461181640625, 0.75634765625, 0.11199951171875, -0.492919921875, 0.499267578125, -0.09637451171875, 0.78125, -0.1842041015625, 0.65380859375, -0.447998046875, -0.1939697265625, -0.0227508544921875, -0.845703125, 0.135009765625, -0.2139892578125, 0.1224365234375, 0.90771484375, 0.6484375, 1.1220703125, 0.966796875, -0.1395263671875, 0.413818359375, 0.1580810546875, -0.392578125, 0.109375, 0.1868896484375, 0.68798828125, 0.296875, 0.234619140625, -0.1995849609375, -0.345458984375, -0.444580078125, -0.6103515625, -0.1419677734375, 0.7041015625, -0.241455078125, 0.271240234375, -0.193115234375, -0.0198516845703125, -0.96923828125, 0.08544921875, 0.0217742919921875, -0.98681640625, -0.44677734375, 0.7158203125, -0.0304718017578125, 0.92822265625, -0.08306884765625, -0.5224609375, 0.084228515625, 1.001953125, -0.060028076171875, 0.279541015625, 0.53662109375, 0.2880859375, -0.3974609375, 0.03277587890625, 0.2958984375, -0.5751953125, -0.83349609375, 0.64404296875, -0.1903076171875, 0.023223876953125, -0.2276611328125, 0.6630859375, 0.2095947265625, 0.35791015625, -0.30224609375, 0.08526611328125, 0.373779296875, 1.40625, 0.06439208984375, 0.6630859375, 0.27880859375, 0.66064453125, 0.43994140625, 0.90869140625, 0.4609375, 0.2509765625, 0.65087890625, 0.83154296875, 0.285888671875, 0.2086181640625, 0.162841796875, 0.39306640625, 0.449951171875, 1.1318359375, 0.1981201171875, 0.421142578125, -0.09429931640625, -0.283935546875, -0.412841796875, 0.235595703125, -0.323974609375, 0.59521484375, -0.1331787109375, 0.62353515625, -0.340576171875, -0.12017822265625, 0.2225341796875, 0.8173828125, -0.9375, -0.7158203125, -0.003307342529296875, -0.05303955078125, 0.20166015625, 0.33203125, 0.3984375, 0.11285400390625, 0.396484375, 0.5810546875, -0.217529296875, -0.2568359375, -0.7197265625, -0.6650390625, -1.1201171875, -0.470458984375, -0.9970703125, -0.176513671875, 0.1728515625, -0.947265625, 0.350830078125, -0.480224609375, -0.400634765625, 0.394287109375, -0.52880859375, 0.6806640625, -0.57177734375, 0.83740234375, -0.689453125, 0.431640625, 0.034576416015625, 0.974609375, -0.485107421875, -0.339111328125, 0.035888671875, -0.55078125, 0.60546875, 0.24755859375, 0.72705078125, -0.0152740478515625, -0.56298828125, -0.95751953125, -0.3662109375, 0.09320068359375, -0.51513671875, 0.1478271484375, -0.482177734375, 0.96435546875, 0.57373046875, -0.350341796875, 0.8603515625, 1.1064453125, -1.18359375, 0.410888671875, 0.45263671875, 0.1533203125, -0.73095703125, 1.3681640625, 0.450927734375, 0.449951171875, -0.54931640625, -0.411376953125, -0.6015625, -0.034088134765625, 0.4375, -0.60693359375, -0.1015625, 0.5078125, -0.148681640625, -1.3076171875, 0.477783203125, -1.267578125, -0.399658203125, -0.72802734375, -0.44482421875, 0.94384765625, 0.76025390625, 0.1259765625, -0.544921875, -0.53955078125, -0.358642578125, 0.462158203125, 0.564453125, -0.52783203125, 0.287353515625, 0.734375, 0.1258544921875, 0.342529296875, -0.1881103515625, -0.429443359375, -0.1842041015625, 0.12261962890625, 0.22412109375, 0.75830078125, -0.05029296875, 0.34033203125, 0.00984954833984375, 0.7939453125, -1.033203125, -0.364013671875, -0.463623046875, 1.0166015625, 0.66650390625, 0.64892578125, 0.6376953125, -0.53369140625, -0.457763671875, -0.95166015625, 0.748046875, 0.05975341796875, 0.88427734375, -0.460205078125, 0.77294921875, 0.17626953125, -0.955078125, 0.5439453125, -0.5830078125, 0.00846099853515625, 0.9716796875, -0.38427734375, 1.126953125, -0.56982421875, 0.30859375, -0.0823974609375, 0.094970703125, 0.447265625, 0.5068359375, 0.48291015625, -0.36376953125, -0.38037109375, -0.170654296875, 0.0867919921875, -0.1016845703125, -0.662109375, 0.2900390625, -0.25439453125, -0.25927734375, -1.0107421875, 0.47900390625, 0.67529296875, 0.759765625, -0.1475830078125, 0.4609375, 0.37548828125, 0.36669921875, 0.499755859375, -0.13720703125, 0.41015625, -1.013671875, 0.642578125, 0.27099609375, -0.50048828125, -0.52734375, -0.54638671875, -0.379150390625, 0.259033203125, -0.18310546875, -0.022186279296875, -1.046875, 0.26611328125, 0.035552978515625, 0.406982421875, -1.06640625, -0.0290069580078125, -0.6005859375, 0.64990234375, 0.254150390625, -1.0458984375, 0.544921875, -0.93603515625, 0.3759765625, 0.6923828125, 0.077392578125, -0.5732421875, -0.09210205078125, -1.009765625, -0.51611328125, -0.0982666015625, 0.94580078125, -0.12286376953125, -0.046356201171875, -0.94677734375, 0.355224609375, 0.48876953125, -0.53759765625, -0.0938720703125, -0.39111328125, 0.494384765625, -0.05694580078125, 1.044921875, -0.50537109375, -0.95361328125, 0.10394287109375, -0.90380859375, 0.2705078125, -0.619140625, 0.5458984375, 0.04803466796875, -0.053375244140625, 0.12890625, 0.2286376953125, -0.44189453125, 0.179931640625, -0.12005615234375, 0.288818359375, -0.8447265625, -0.82568359375, 0.55224609375, -0.06292724609375, -0.58154296875, 0.9287109375, 0.1651611328125, -0.429443359375, 0.09967041015625, 0.5185546875, -0.424072265625, 0.413818359375, -0.65771484375, 0.1962890625, -0.1981201171875, -0.80908203125, -0.127197265625, -0.437744140625, 0.6044921875, -0.1544189453125, -1.0595703125, -0.2509765625, -1.005859375, -0.421875, -0.19970703125, -1.05859375, 0.34521484375, 0.0201263427734375, -0.202880859375, 0.1480712890625, -0.0841064453125, -0.703125, -0.51220703125, -0.372314453125, -0.314697265625, 0.35205078125, 0.57275390625, 1.1015625, 0.1895751953125, -0.1844482421875, -0.5087890625, 0.064697265625, 0.10491943359375, -0.6728515625, -0.432373046875, 0.02191162109375, -0.2012939453125, -0.30224609375, 0.417236328125, -0.212646484375, 0.2156982421875, 0.7060546875, 0.371337890625, 0.337158203125, 0.055084228515625, -0.82666015625, 0.9912109375, 0.105712890625, -1.125, -0.767578125, 0.36376953125, 0.130615234375, 0.82470703125, 0.1871337890625, -0.341796875, -0.86376953125, -1.064453125, 0.0099334716796875, -0.68359375, -0.12445068359375, -1.15234375, -0.5322265625, -0.1898193359375, 0.62451171875, 0.08917236328125, 0.0985107421875, 0.223876953125, -1.248046875, 0.041839599609375, -0.51416015625, -0.231201171875, -1.1953125, -0.328857421875, -0.2025146484375, 1.173828125, 0.431396484375, 0.287841796875, 0.06732177734375, -0.036285400390625, -0.08111572265625, -0.330322265625, -0.5048828125, -0.2802734375, -0.088134765625, -0.07562255859375, -0.400634765625, 0.08673095703125, -0.6005859375, 0.87353515625, -0.8642578125, 0.1502685546875, -0.0882568359375, -0.217041015625, -0.2474365234375, -0.312744140625, 1.134765625, -0.455810546875, 0.0225982666015625, -0.349853515625, 0.5615234375, 0.99560546875, -0.5517578125, -0.18994140625, -0.8447265625, -0.69970703125, -1.10546875, 0.54833984375, -0.7021484375, 0.0653076171875, -0.6611328125, -0.369873046875, 1.1806640625, -0.18994140625, 0.4287109375, 1.15625, 0.13037109375, 0.285888671875, -0.6298828125, 0.91650390625, 0.420654296875, -0.7158203125, -0.262451171875, -0.228515625, -0.91552734375, 0.2568359375, -0.336181640625, -1.103515625, -0.425537109375, 0.552734375, 1.1845703125, -0.033050537109375, 1.1494140625, -0.2236328125, -0.9873046875, -0.4462890625, 0.77294921875, 0.4501953125, 0.203369140625, 1.0009765625, 0.1534423828125, -0.2158203125, 0.19677734375, -0.1719970703125, -0.1583251953125, -0.106689453125, 1.3447265625, -0.28564453125, -0.69140625, 0.568359375, 0.71240234375, -1.322265625, -0.87158203125, -0.30224609375, -0.1263427734375, -0.37939453125, -0.65966796875, 0.56201171875, 0.384033203125, -0.326904296875, -0.145751953125, 0.609375, -0.43310546875, 0.44970703125, 0.225830078125, 0.1517333984375, -0.41064453125, 0.310302734375, 0.471435546875, -0.63330078125, -0.53369140625, -0.43505859375, 0.282958984375, -0.3037109375, 0.229736328125, 0.6650390625, -0.5927734375, -0.052093505859375, 0.3330078125, -0.267333984375, 0.83447265625, -0.5947265625, -0.79443359375, 0.0044708251953125, -0.65283203125, -0.6865234375, -0.2447509765625, 0.384765625, -0.2196044921875, 0.5888671875, -0.36669921875, -0.315673828125, 0.349853515625, 0.36669921875, -0.1380615234375, -0.98583984375, -0.3544921875, -1.1572265625, -0.4228515625, -0.472900390625, -0.529296875, -0.312255859375, 0.3408203125, 0.499755859375, -0.63037109375, 0.0528564453125, 0.947265625, -0.312255859375, 1.0546875, -0.734375, 0.115234375, -0.4658203125, -0.703125, -0.5615234375, 0.12274169921875, -0.3486328125, 0.1134033203125, -0.1763916015625, 0.828125, -0.098876953125, 0.162109375, -0.3310546875, 0.3095703125, -0.2230224609375, -0.136474609375, 0.26171875, 0.1876220703125, -0.05584716796875, 0.6669921875, 0.306396484375, -0.09893798828125, 0.498291015625, -0.316650390625, -0.3701171875, -0.483642578125, 0.68896484375, 0.5439453125, -0.311279296875, -0.195068359375, -0.180419921875, -0.140625, -0.8232421875, 0.424072265625, -0.255126953125, 0.0084075927734375, -0.35498046875, -0.488037109375, 0.63232421875, 1.14453125, -0.31787109375, 0.259765625, 0.10302734375, 0.321044921875, 0.273681640625, 0.6337890625, -0.055999755859375, 0.50537109375, -0.204345703125, -0.0115814208984375, 0.045257568359375, 0.591796875, 0.045684814453125, 0.256103515625, -0.371337890625, -0.7705078125, -1.1064453125, -0.1912841796875, 0.0802001953125, 0.43994140625, 0.1529541015625, -0.458251953125, -0.002902984619140625, -0.1502685546875, -0.4228515625, 0.367431640625, -0.9775390625, -1.0224609375, 0.33447265625, -0.34130859375, -0.7470703125, -0.1937255859375, -0.54345703125, 0.1397705078125, 0.189697265625, 0.23193359375, -0.498046875, 0.4521484375, 0.1622314453125, 0.71240234375, -0.302490234375, -0.253173828125, -0.1448974609375, 0.1021728515625, -0.9814453125, -0.57080078125, 0.12152099609375, 0.8642578125, 0.048858642578125, -0.38427734375, -0.55712890625, -0.0038471221923828125, -0.3251953125, 0.387939453125, -0.61181640625, -0.1810302734375, -0.161376953125, 0.77783203125, -0.865234375, 0.1751708984375, 0.058929443359375, 0.271728515625, 0.19384765625, -0.5048828125, -0.93701171875, 0.775390625, 0.42919921875, -0.09259033203125, 0.638671875, 0.051177978515625, 0.70166015625, -0.11578369140625, -0.08721923828125, -0.0275726318359375, 0.67431640625, 0.45947265625, 0.56787109375, 0.2049560546875, 0.80615234375, 0.453857421875, 0.173583984375, -0.36181640625, 0.916015625, 0.295166015625, 0.1806640625, 0.0977783203125, -0.210693359375, -0.16796875, 0.138671875, -0.469482421875, -0.03814697265625, -0.609375, -0.09039306640625, -0.35107421875, -0.56689453125, 0.96484375, -0.0080718994140625, -0.2330322265625, -0.0173492431640625, -0.435546875, 0.3212890625, 0.75537109375, -0.02398681640625, -0.019317626953125, 0.951171875, 0.95703125, 0.30859375, 0.52490234375, 0.2388916015625, 0.060272216796875, -0.51806640625, 0.1689453125, 0.23828125, 0.03765869140625, -0.489013671875, -0.8818359375, -0.99462890625, 0.697265625, 0.033447265625, 0.1685791015625, 0.437255859375, -0.501953125, -0.1578369140625, -0.455810546875, 0.9345703125, -0.82763671875, 0.410400390625, 0.342041015625, 0.071533203125, -0.60107421875, 0.62451171875, -0.372802734375, 0.1871337890625, 0.533203125, 0.8369140625, -0.093505859375, 1.638671875, 0.29345703125, -0.08673095703125, -0.07135009765625, 0.62109375, -0.276123046875, -0.50732421875, -0.472900390625, -0.509765625, -0.1572265625, -0.513671875, -0.463623046875, -0.1505126953125, 0.84619140625, 0.044677734375, -0.900390625, -0.372802734375, 0.163818359375, -0.6455078125, 0.66650390625, 0.2900390625, 0.273193359375, 0.159423828125, 0.02801513671875, 0.05206298828125, -0.41015625, 0.2235107421875, -0.43701171875, 0.68701171875, -0.73193359375, -0.4443359375, -0.59228515625, -0.413330078125, 0.0655517578125, 0.235107421875, -0.40869140625, -0.77734375, 0.256103515625, 0.4306640625, 0.1087646484375, -0.08856201171875, -0.375732421875, 0.0870361328125, 1.1884765625, 0.77978515625, -0.308837890625, 0.8271484375, 0.307373046875, -0.26123046875, 0.12841796875, -0.322021484375, 0.546875, 0.1505126953125, -0.06500244140625, -0.379150390625, 0.2008056640625, -0.96875, -1.29296875, -0.290771484375, 0.485595703125, 0.29296875, -0.7099609375, -1.1328125, -0.52587890625, -0.57373046875, -0.3544921875, -0.6376953125, 0.60546875, -0.238525390625, -0.282470703125, -0.07183837890625, -1.2490234375, 4.2734375, 0.85986328125, 0.60009765625, 0.0172271728515625, 0.302978515625, 1.0498046875, 0.6572265625, -0.51220703125, 0.151123046875, -0.57763671875, 0.4033203125, -0.7001953125, -0.12127685546875, 0.90869140625, 0.261474609375, 0.7451171875, -0.5234375, 0.35791015625, -0.050567626953125, -0.83154296875, -0.76904296875, 0.318115234375, 0.2020263671875, 0.68115234375, 0.1495361328125, 0.33837890625, 0.326416015625, -0.69091796875, -0.07012939453125, -0.84033203125, 0.3681640625, -0.51123046875, 0.966796875, 0.09222412109375, -0.04840087890625, 0.73681640625, 0.4208984375, -0.71142578125, -0.31787109375, -0.00771331787109375, -0.189697265625, -0.002460479736328125, 0.66943359375, -0.68212890625, 0.029632568359375, 0.6875, -1.025390625, 0.3359375, 0.41064453125, -1.0986328125, 0.91064453125, -0.6064453125, 0.67333984375, -0.5517578125, -0.6142578125, -0.01007080078125, 0.0308837890625, -0.271728515625, -0.30712890625, 0.46435546875, -0.033721923828125, 0.177978515625, 0.23828125, 0.7158203125, -1.15625, 0.489501953125, 0.1773681640625, 0.125244140625, -0.5283203125, -0.282470703125, -0.016937255859375, -0.1025390625, -0.30126953125, -0.353271484375, 0.8818359375, 0.26611328125, -0.6201171875, 0.383544921875, 0.76171875, -0.744140625, 0.0709228515625, -0.56005859375, -0.183349609375, -0.376708984375, 0.63427734375, 0.84765625, -0.57421875, -0.6376953125, -0.3486328125, 0.56298828125, 0.75439453125, 0.759765625, -0.1627197265625, -0.5703125, -0.2115478515625 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Submitted Solution: ``` def getPossibleSuffixes(s): if len(s) == 5: print(0) return possible_suffixes = s[5:len(s)] suffixes = [] suffix_starts = [0 for x in range(len(possible_suffixes))] prev_2 = ["" for x in range(len(possible_suffixes))] prev_3 = ["" for x in range(len(possible_suffixes))] suffix_starts[-1] = 1 for i in range(len(possible_suffixes)-2, -1, -1): if suffix_starts[i+1] and prev_2[i+1] != possible_suffixes[i:i+2]: if possible_suffixes[i:i+2] not in suffixes: suffixes.append(possible_suffixes[i:i+2]) if i-1>=0: prev_2[i-1] = possible_suffixes[i:i+2] suffix_starts[i-1] = 1 if i+2 < len(possible_suffixes) and suffix_starts[i+2] and prev_3[i+2] != possible_suffixes[i:i+3]: if possible_suffixes[i:i+3] not in suffixes: suffixes.append(possible_suffixes[i:i+3]) if i-1>=0: prev_3[i-1] = possible_suffixes[i:i+3] suffix_starts[i-1] = 1 print(len(suffixes)) suffixes.sort() for suffix in suffixes: print(suffix) s = input() getPossibleSuffixes(s) ``` No
5,476
[ 0.203125, 0.11456298828125, 0.0767822265625, 0.017364501953125, -0.1876220703125, 0.06341552734375, 0.08428955078125, -0.16015625, 0.181640625, 0.59375, 1.244140625, -0.459716796875, 0.2958984375, -1.0458984375, -0.6220703125, -0.27001953125, -0.50439453125, -0.7958984375, -0.7353515625, -0.0899658203125, -0.030792236328125, -0.322265625, -1.248046875, 0.0167388916015625, -0.2474365234375, 0.890625, 0.5595703125, -0.0859375, 1.0869140625, 0.927734375, -0.4833984375, -0.546875, 0.65673828125, -0.98193359375, -0.461181640625, -0.162841796875, 0.4599609375, -0.88232421875, -0.0191802978515625, -0.5849609375, 0.201416015625, -0.8505859375, 0.361328125, -0.49755859375, -0.91845703125, 0.1737060546875, -0.2005615234375, -0.5634765625, -0.1827392578125, -0.77490234375, 0.388916015625, -0.08489990234375, 0.53759765625, -0.25341796875, 0.322509765625, 0.01019287109375, 0.1632080078125, -0.31884765625, -0.65087890625, 0.453125, 0.1307373046875, 0.54345703125, 0.202880859375, -0.56982421875, -0.11016845703125, 0.45361328125, -0.049224853515625, -0.10546875, 0.302001953125, -0.6611328125, -0.268798828125, 0.031951904296875, -0.331787109375, -0.387451171875, -0.413330078125, -0.07196044921875, 0.52099609375, -0.05572509765625, -0.7255859375, 0.78271484375, 0.225830078125, 1.1689453125, 0.76025390625, 0.1435546875, -0.2054443359375, -0.4833984375, -0.017578125, 0.438232421875, 0.53662109375, 0.2025146484375, -0.27734375, 0.51513671875, -0.9521484375, -0.219482421875, 0.84912109375, 0.328125, -0.52001953125, 0.5068359375, 0.2042236328125, 0.452392578125, 1.05859375, 0.71923828125, -0.267822265625, 1.0751953125, -0.7109375, -0.006683349609375, 0.06597900390625, -0.08453369140625, 0.1279296875, -0.292236328125, -0.1097412109375, 0.0302886962890625, 0.48291015625, 0.296142578125, -0.66259765625, 1.015625, -0.56103515625, 0.412109375, -0.97900390625, 0.349365234375, 0.422607421875, 0.044677734375, 0.259033203125, -0.181640625, 0.294921875, -0.228759765625, -0.84814453125, 1.236328125, -0.6552734375, 0.0045318603515625, 0.2486572265625, -0.161376953125, -0.2149658203125, 0.3447265625, 0.04266357421875, 0.70166015625, -0.326171875, 0.53564453125, 0.73046875, -0.6884765625, 1.021484375, 0.0936279296875, -0.43994140625, 1.5625, 0.3076171875, -0.09356689453125, 1.0634765625, -0.13134765625, -0.80859375, 0.7724609375, -0.85888671875, 0.28515625, 0.339599609375, 0.176025390625, -0.460693359375, 0.181640625, 0.00214385986328125, 0.138916015625, 0.7880859375, 0.1475830078125, -0.46484375, 0.49853515625, -0.1278076171875, 0.771484375, -0.18896484375, 0.63427734375, -0.416259765625, -0.21142578125, 0.00794219970703125, -0.8505859375, 0.1058349609375, -0.2052001953125, 0.0975341796875, 0.91650390625, 0.64794921875, 1.1025390625, 0.943359375, -0.163818359375, 0.4072265625, 0.1595458984375, -0.388427734375, 0.1124267578125, 0.2021484375, 0.6640625, 0.305419921875, 0.2388916015625, -0.2008056640625, -0.3779296875, -0.45947265625, -0.595703125, -0.137939453125, 0.697265625, -0.254150390625, 0.272705078125, -0.19580078125, -0.02606201171875, -0.97119140625, 0.072021484375, 0.0175323486328125, -0.96435546875, -0.43896484375, 0.740234375, -0.033599853515625, 0.92041015625, -0.09832763671875, -0.52880859375, 0.0904541015625, 0.99853515625, -0.06427001953125, 0.28125, 0.525390625, 0.283935546875, -0.391357421875, 0.029083251953125, 0.3115234375, -0.5634765625, -0.802734375, 0.654296875, -0.1903076171875, 0.01491546630859375, -0.20361328125, 0.666015625, 0.2147216796875, 0.379150390625, -0.2998046875, 0.112548828125, 0.372802734375, 1.3984375, 0.07354736328125, 0.63671875, 0.286376953125, 0.6962890625, 0.462158203125, 0.89404296875, 0.483154296875, 0.272705078125, 0.6455078125, 0.8359375, 0.293212890625, 0.208984375, 0.174072265625, 0.376953125, 0.47705078125, 1.1484375, 0.19677734375, 0.39501953125, -0.1353759765625, -0.268310546875, -0.414306640625, 0.235595703125, -0.329833984375, 0.59228515625, -0.1658935546875, 0.64404296875, -0.321044921875, -0.1407470703125, 0.2265625, 0.80224609375, -0.93798828125, -0.7001953125, 0.000032007694244384766, -0.05572509765625, 0.1868896484375, 0.33935546875, 0.412841796875, 0.124267578125, 0.421875, 0.57275390625, -0.22119140625, -0.26953125, -0.708984375, -0.650390625, -1.09375, -0.47021484375, -1.0185546875, -0.138916015625, 0.1689453125, -0.9384765625, 0.338623046875, -0.48876953125, -0.394775390625, 0.396240234375, -0.53857421875, 0.68798828125, -0.57861328125, 0.8583984375, -0.67919921875, 0.43212890625, 0.0330810546875, 0.98974609375, -0.45751953125, -0.36865234375, 0.02703857421875, -0.5458984375, 0.62548828125, 0.20556640625, 0.716796875, -0.042388916015625, -0.5703125, -0.93310546875, -0.36962890625, 0.06707763671875, -0.5029296875, 0.1519775390625, -0.47900390625, 0.98193359375, 0.5595703125, -0.35498046875, 0.86572265625, 1.1484375, -1.169921875, 0.4267578125, 0.445068359375, 0.134521484375, -0.74072265625, 1.361328125, 0.4609375, 0.431884765625, -0.54345703125, -0.411865234375, -0.5830078125, -0.048980712890625, 0.442626953125, -0.64306640625, -0.10125732421875, 0.509765625, -0.17333984375, -1.3115234375, 0.478759765625, -1.2568359375, -0.386474609375, -0.7275390625, -0.455322265625, 0.9697265625, 0.76904296875, 0.1324462890625, -0.53955078125, -0.5517578125, -0.326904296875, 0.471435546875, 0.560546875, -0.57470703125, 0.295654296875, 0.6953125, 0.1373291015625, 0.3369140625, -0.1971435546875, -0.431884765625, -0.1602783203125, 0.10357666015625, 0.230224609375, 0.8056640625, -0.03857421875, 0.32861328125, 0.0276641845703125, 0.7919921875, -1.02734375, -0.358642578125, -0.454833984375, 1.0126953125, 0.6806640625, 0.6552734375, 0.61572265625, -0.497802734375, -0.45556640625, -0.943359375, 0.77001953125, 0.064208984375, 0.8779296875, -0.457275390625, 0.7666015625, 0.149169921875, -0.939453125, 0.5537109375, -0.576171875, 0.00286865234375, 0.9560546875, -0.391357421875, 1.119140625, -0.544921875, 0.336181640625, -0.10028076171875, 0.114501953125, 0.39892578125, 0.482666015625, 0.489501953125, -0.32568359375, -0.38427734375, -0.1728515625, 0.04315185546875, -0.146728515625, -0.67333984375, 0.32080078125, -0.250732421875, -0.272705078125, -1.009765625, 0.4921875, 0.6943359375, 0.76611328125, -0.1590576171875, 0.462890625, 0.368896484375, 0.400390625, 0.5244140625, -0.1380615234375, 0.3896484375, -1.0009765625, 0.630859375, 0.257080078125, -0.50634765625, -0.525390625, -0.51318359375, -0.388671875, 0.262939453125, -0.1861572265625, -0.02471923828125, -1.0224609375, 0.26220703125, 0.037811279296875, 0.404296875, -1.0966796875, -0.016998291015625, -0.599609375, 0.62939453125, 0.2408447265625, -1.0361328125, 0.52978515625, -0.92041015625, 0.38037109375, 0.68701171875, 0.09112548828125, -0.57958984375, -0.085693359375, -1.0107421875, -0.54638671875, -0.0972900390625, 0.94189453125, -0.08123779296875, -0.0462646484375, -0.970703125, 0.376708984375, 0.50634765625, -0.51806640625, -0.09246826171875, -0.42236328125, 0.52880859375, -0.062103271484375, 1.05078125, -0.51611328125, -0.9599609375, 0.11285400390625, -0.93212890625, 0.300048828125, -0.62353515625, 0.544921875, 0.037689208984375, -0.06195068359375, 0.1126708984375, 0.25146484375, -0.4462890625, 0.1790771484375, -0.1278076171875, 0.288330078125, -0.87451171875, -0.8291015625, 0.5439453125, -0.056640625, -0.56689453125, 0.9189453125, 0.1954345703125, -0.447998046875, 0.0960693359375, 0.48583984375, -0.43310546875, 0.42333984375, -0.65625, 0.16162109375, -0.2027587890625, -0.85400390625, -0.1131591796875, -0.4375, 0.6201171875, -0.1416015625, -1.0556640625, -0.24951171875, -0.99853515625, -0.395751953125, -0.2042236328125, -1.06640625, 0.335693359375, 0.00923919677734375, -0.2152099609375, 0.1617431640625, -0.132080078125, -0.6484375, -0.5302734375, -0.33935546875, -0.2841796875, 0.323974609375, 0.59619140625, 1.0888671875, 0.2327880859375, -0.1669921875, -0.54931640625, 0.08612060546875, 0.11248779296875, -0.66845703125, -0.457275390625, 0.027069091796875, -0.213623046875, -0.29638671875, 0.448974609375, -0.2125244140625, 0.1865234375, 0.7001953125, 0.398681640625, 0.350341796875, 0.07464599609375, -0.8125, 0.96826171875, 0.0860595703125, -1.1533203125, -0.7705078125, 0.359130859375, 0.1136474609375, 0.82421875, 0.20556640625, -0.336181640625, -0.873046875, -1.078125, 0.024749755859375, -0.68701171875, -0.12457275390625, -1.1533203125, -0.505859375, -0.1864013671875, 0.62646484375, 0.09912109375, 0.09124755859375, 0.2430419921875, -1.2412109375, 0.0185394287109375, -0.5263671875, -0.25537109375, -1.1884765625, -0.336669921875, -0.1973876953125, 1.1611328125, 0.456298828125, 0.302978515625, 0.039581298828125, -0.03302001953125, -0.06768798828125, -0.359375, -0.497314453125, -0.28857421875, -0.09674072265625, -0.0831298828125, -0.408447265625, 0.0771484375, -0.578125, 0.89306640625, -0.8642578125, 0.145751953125, -0.08905029296875, -0.196533203125, -0.2193603515625, -0.301025390625, 1.1044921875, -0.432861328125, 0.0036640167236328125, -0.375244140625, 0.58251953125, 0.96630859375, -0.5419921875, -0.225830078125, -0.83935546875, -0.69921875, -1.1103515625, 0.56982421875, -0.67333984375, 0.09014892578125, -0.6689453125, -0.3955078125, 1.19921875, -0.1597900390625, 0.452880859375, 1.130859375, 0.11767578125, 0.29443359375, -0.64404296875, 0.8798828125, 0.437744140625, -0.72314453125, -0.288818359375, -0.2313232421875, -0.9267578125, 0.26318359375, -0.325439453125, -1.111328125, -0.42236328125, 0.5615234375, 1.1748046875, -0.043853759765625, 1.1875, -0.28466796875, -0.96630859375, -0.408447265625, 0.76025390625, 0.462646484375, 0.2066650390625, 0.99853515625, 0.1527099609375, -0.2335205078125, 0.200439453125, -0.1688232421875, -0.1788330078125, -0.1026611328125, 1.3291015625, -0.28662109375, -0.7177734375, 0.59423828125, 0.728515625, -1.306640625, -0.8603515625, -0.275390625, -0.1329345703125, -0.385498046875, -0.662109375, 0.54833984375, 0.3984375, -0.343017578125, -0.1544189453125, 0.60791015625, -0.446533203125, 0.4423828125, 0.196533203125, 0.1331787109375, -0.423095703125, 0.309814453125, 0.4609375, -0.62548828125, -0.55029296875, -0.442138671875, 0.282958984375, -0.307861328125, 0.236328125, 0.63720703125, -0.58251953125, -0.0440673828125, 0.37890625, -0.2783203125, 0.86669921875, -0.59619140625, -0.77685546875, -0.01763916015625, -0.66552734375, -0.70703125, -0.2393798828125, 0.35986328125, -0.2100830078125, 0.55615234375, -0.359375, -0.310546875, 0.351318359375, 0.368408203125, -0.1422119140625, -0.98876953125, -0.364013671875, -1.146484375, -0.409912109375, -0.47802734375, -0.51220703125, -0.31591796875, 0.346923828125, 0.478271484375, -0.6591796875, 0.08038330078125, 0.93115234375, -0.291259765625, 1.037109375, -0.75537109375, 0.132568359375, -0.46142578125, -0.6884765625, -0.544921875, 0.11273193359375, -0.333740234375, 0.1270751953125, -0.20166015625, 0.83642578125, -0.1036376953125, 0.1864013671875, -0.37255859375, 0.324951171875, -0.208984375, -0.133056640625, 0.2432861328125, 0.1744384765625, -0.080078125, 0.662109375, 0.303466796875, -0.09503173828125, 0.46826171875, -0.33251953125, -0.375, -0.484619140625, 0.6826171875, 0.54296875, -0.298583984375, -0.18994140625, -0.1641845703125, -0.1531982421875, -0.814453125, 0.400390625, -0.25146484375, 0.022186279296875, -0.348388671875, -0.44677734375, 0.638671875, 1.1259765625, -0.340576171875, 0.26904296875, 0.092041015625, 0.2919921875, 0.26904296875, 0.64013671875, -0.07373046875, 0.488525390625, -0.1763916015625, -0.00553131103515625, 0.028228759765625, 0.59326171875, 0.06646728515625, 0.287353515625, -0.38671875, -0.7529296875, -1.123046875, -0.1807861328125, 0.09283447265625, 0.421630859375, 0.1646728515625, -0.45703125, 0.0074005126953125, -0.1573486328125, -0.455810546875, 0.369384765625, -0.96240234375, -1.033203125, 0.360107421875, -0.357421875, -0.77294921875, -0.1925048828125, -0.53515625, 0.1474609375, 0.171875, 0.2481689453125, -0.4794921875, 0.463134765625, 0.1832275390625, 0.71630859375, -0.30517578125, -0.2349853515625, -0.1634521484375, 0.11334228515625, -0.93115234375, -0.57275390625, 0.1435546875, 0.86181640625, 0.0626220703125, -0.39404296875, -0.556640625, 0.0033359527587890625, -0.282958984375, 0.385498046875, -0.59619140625, -0.181640625, -0.20654296875, 0.76513671875, -0.86279296875, 0.18212890625, 0.05963134765625, 0.261474609375, 0.194091796875, -0.5126953125, -0.93359375, 0.79052734375, 0.400146484375, -0.1044921875, 0.62109375, 0.0712890625, 0.71630859375, -0.1292724609375, -0.1053466796875, -0.033355712890625, 0.67333984375, 0.47021484375, 0.5615234375, 0.2020263671875, 0.7998046875, 0.45947265625, 0.18115234375, -0.349853515625, 0.91796875, 0.29833984375, 0.1868896484375, 0.096435546875, -0.2137451171875, -0.13818359375, 0.14404296875, -0.5087890625, -0.04107666015625, -0.6015625, -0.0985107421875, -0.362548828125, -0.56005859375, 0.958984375, -0.021759033203125, -0.2352294921875, -0.01448822021484375, -0.44287109375, 0.3017578125, 0.74462890625, -0.023101806640625, -0.00909423828125, 0.9482421875, 0.96630859375, 0.2802734375, 0.53564453125, 0.230224609375, 0.073486328125, -0.52490234375, 0.1741943359375, 0.25146484375, 0.052032470703125, -0.49365234375, -0.908203125, -0.98095703125, 0.68310546875, 0.0460205078125, 0.167724609375, 0.431396484375, -0.51904296875, -0.1468505859375, -0.420654296875, 0.93017578125, -0.8232421875, 0.398193359375, 0.3310546875, 0.08154296875, -0.59716796875, 0.61669921875, -0.338623046875, 0.1953125, 0.52001953125, 0.810546875, -0.052825927734375, 1.625, 0.297119140625, -0.0887451171875, -0.036376953125, 0.61328125, -0.267822265625, -0.51171875, -0.5087890625, -0.52978515625, -0.1502685546875, -0.51123046875, -0.49853515625, -0.1614990234375, 0.86083984375, 0.0247039794921875, -0.9013671875, -0.398193359375, 0.172119140625, -0.65087890625, 0.6787109375, 0.27734375, 0.26025390625, 0.1661376953125, 0.025848388671875, 0.06524658203125, -0.391357421875, 0.205810546875, -0.4404296875, 0.67138671875, -0.72998046875, -0.426513671875, -0.55712890625, -0.424560546875, 0.07916259765625, 0.212158203125, -0.39208984375, -0.751953125, 0.262451171875, 0.447509765625, 0.1129150390625, -0.08685302734375, -0.374267578125, 0.1053466796875, 1.1943359375, 0.78369140625, -0.30126953125, 0.84619140625, 0.315673828125, -0.279052734375, 0.1473388671875, -0.2890625, 0.572265625, 0.130615234375, -0.104736328125, -0.37646484375, 0.210205078125, -1.0009765625, -1.3095703125, -0.303466796875, 0.490966796875, 0.30322265625, -0.708984375, -1.1357421875, -0.5380859375, -0.55810546875, -0.360595703125, -0.64111328125, 0.57763671875, -0.2034912109375, -0.30517578125, -0.0966796875, -1.26953125, 4.26953125, 0.85400390625, 0.609375, 0.0312347412109375, 0.318603515625, 1.04296875, 0.64794921875, -0.499755859375, 0.1546630859375, -0.58837890625, 0.40234375, -0.67529296875, -0.0836181640625, 0.90771484375, 0.264404296875, 0.72216796875, -0.51708984375, 0.3603515625, -0.06744384765625, -0.85595703125, -0.7880859375, 0.324951171875, 0.1954345703125, 0.6884765625, 0.11346435546875, 0.369873046875, 0.34375, -0.69091796875, -0.10595703125, -0.841796875, 0.36181640625, -0.52392578125, 0.98388671875, 0.08001708984375, -0.018829345703125, 0.71826171875, 0.43115234375, -0.7001953125, -0.338134765625, 0.0117645263671875, -0.1927490234375, -0.006855010986328125, 0.669921875, -0.69482421875, 0.0280609130859375, 0.68994140625, -1.0498046875, 0.343505859375, 0.424560546875, -1.0693359375, 0.876953125, -0.6181640625, 0.6787109375, -0.5546875, -0.59814453125, -0.0048828125, -0.00206756591796875, -0.256591796875, -0.290283203125, 0.45166015625, -0.0194244384765625, 0.1915283203125, 0.2333984375, 0.70166015625, -1.18359375, 0.481201171875, 0.1849365234375, 0.1173095703125, -0.53271484375, -0.29296875, 0.004425048828125, -0.1302490234375, -0.279052734375, -0.363525390625, 0.896484375, 0.274169921875, -0.6083984375, 0.400390625, 0.7333984375, -0.75439453125, 0.09466552734375, -0.541015625, -0.2049560546875, -0.385009765625, 0.609375, 0.845703125, -0.587890625, -0.6787109375, -0.366455078125, 0.57958984375, 0.7734375, 0.7880859375, -0.163818359375, -0.56201171875, -0.2239990234375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know linguistics very well. You learn a structure of Reberland language as foreign language. In this language words are constructed according to the following rules. First you need to choose the "root" of the word — some string which has more than 4 letters. Then several strings with the length 2 or 3 symbols are appended to this word. The only restriction — it is not allowed to append the same string twice in a row. All these strings are considered to be suffixes of the word (this time we use word "suffix" to describe a morpheme but not the few last characters of the string as you may used to). Here is one exercise that you have found in your task list. You are given the word s. Find all distinct strings with the length 2 or 3, which can be suffixes of this word according to the word constructing rules in Reberland language. Two strings are considered distinct if they have different length or there is a position in which corresponding characters do not match. Let's look at the example: the word abacabaca is given. This word can be obtained in the following ways: <image>, where the root of the word is overlined, and suffixes are marked by "corners". Thus, the set of possible suffixes for this word is {aca, ba, ca}. Input The only line contains a string s (5 ≤ |s| ≤ 104) consisting of lowercase English letters. Output On the first line print integer k — a number of distinct possible suffixes. On the next k lines print suffixes. Print suffixes in lexicographical (alphabetical) order. Examples Input abacabaca Output 3 aca ba ca Input abaca Output 0 Note The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix. Submitted Solution: ``` __author__ = 'Utena' s=input() n=len(s) ans=set() if n<=6: print(0) exit(0) dp=[[False,False]for i in range(n+1)] if n>6:dp[3][1]=True dp[2][0]=True ans.add(s[-2:]) ans.add(s[-3:]) for i in range(4,n-4): if s[(-i):(-i+2)]!=s[(-i+2):(-i+4)]and dp[i-2][0] or dp[i-2][1]: dp[i][0]=True ans|={s[(-i):(-i+2)]} if i>=6 and s[(-i):(-i+3)]!=s[(-i+3):(-i+6)]and dp[i-3][1] or dp[i-3][0]: dp[i][1]=True ans.add(s[(-i):(-i+3)]) ans=sorted(list(ans)) print(len(ans)) print('\n'.join(ans)) ``` No
5,477
[ 0.192138671875, 0.125732421875, 0.104248046875, -0.0031414031982421875, -0.1790771484375, 0.0648193359375, 0.07733154296875, -0.1812744140625, 0.1544189453125, 0.5986328125, 1.2060546875, -0.403564453125, 0.256591796875, -1.048828125, -0.63720703125, -0.279541015625, -0.481201171875, -0.79443359375, -0.73095703125, -0.1019287109375, -0.055419921875, -0.291259765625, -1.2548828125, 0.012176513671875, -0.2646484375, 0.92333984375, 0.54248046875, -0.085205078125, 1.078125, 0.8896484375, -0.4462890625, -0.51416015625, 0.6513671875, -0.98388671875, -0.4375, -0.162841796875, 0.466064453125, -0.84716796875, -0.031341552734375, -0.568359375, 0.1976318359375, -0.8173828125, 0.372314453125, -0.4951171875, -0.91259765625, 0.2169189453125, -0.1910400390625, -0.59033203125, -0.1983642578125, -0.77880859375, 0.40380859375, -0.10064697265625, 0.53564453125, -0.24072265625, 0.32568359375, -0.04327392578125, 0.140625, -0.28564453125, -0.64404296875, 0.46337890625, 0.1663818359375, 0.55126953125, 0.21337890625, -0.58447265625, -0.11907958984375, 0.4423828125, -0.052276611328125, -0.11383056640625, 0.308349609375, -0.66845703125, -0.27392578125, 0.03863525390625, -0.3115234375, -0.32763671875, -0.43115234375, -0.060455322265625, 0.5205078125, -0.067138671875, -0.71923828125, 0.74658203125, 0.2425537109375, 1.166015625, 0.74365234375, 0.1275634765625, -0.2220458984375, -0.497802734375, -0.0296783447265625, 0.45166015625, 0.5517578125, 0.2181396484375, -0.281982421875, 0.50830078125, -0.95556640625, -0.19970703125, 0.8486328125, 0.348388671875, -0.5341796875, 0.497802734375, 0.2041015625, 0.47021484375, 1.0869140625, 0.7431640625, -0.2705078125, 1.0791015625, -0.71875, 0.004848480224609375, 0.04486083984375, -0.08770751953125, 0.1549072265625, -0.289306640625, -0.07366943359375, 0.04693603515625, 0.438720703125, 0.2958984375, -0.67041015625, 1.0302734375, -0.52880859375, 0.389404296875, -1.00390625, 0.331298828125, 0.447021484375, 0.022857666015625, 0.245361328125, -0.1922607421875, 0.300048828125, -0.2415771484375, -0.83544921875, 1.20703125, -0.6328125, 0.009368896484375, 0.267333984375, -0.14990234375, -0.23486328125, 0.319091796875, 0.0411376953125, 0.70751953125, -0.325439453125, 0.5390625, 0.77197265625, -0.69091796875, 1.0009765625, 0.09820556640625, -0.43505859375, 1.572265625, 0.3125, -0.1080322265625, 1.064453125, -0.11407470703125, -0.8046875, 0.76953125, -0.8544921875, 0.295166015625, 0.32763671875, 0.2015380859375, -0.46337890625, 0.17724609375, 0.022613525390625, 0.136474609375, 0.7578125, 0.11553955078125, -0.489990234375, 0.4892578125, -0.09832763671875, 0.7802734375, -0.192138671875, 0.6533203125, -0.434326171875, -0.2271728515625, -0.0277557373046875, -0.85498046875, 0.1478271484375, -0.216796875, 0.10980224609375, 0.90576171875, 0.63623046875, 1.103515625, 0.94921875, -0.1490478515625, 0.38916015625, 0.1617431640625, -0.373291015625, 0.11962890625, 0.186279296875, 0.6923828125, 0.283447265625, 0.239501953125, -0.2041015625, -0.368408203125, -0.434814453125, -0.57373046875, -0.1434326171875, 0.70654296875, -0.2626953125, 0.2919921875, -0.1796875, 0.013580322265625, -0.98486328125, 0.074951171875, 0.0302276611328125, -0.98681640625, -0.422119140625, 0.7138671875, -0.03814697265625, 0.9208984375, -0.088134765625, -0.52587890625, 0.07293701171875, 0.986328125, -0.0634765625, 0.281005859375, 0.556640625, 0.28271484375, -0.376953125, 0.044281005859375, 0.30908203125, -0.578125, -0.82763671875, 0.63525390625, -0.189697265625, 0.022796630859375, -0.234619140625, 0.650390625, 0.23193359375, 0.361572265625, -0.2978515625, 0.06964111328125, 0.378173828125, 1.396484375, 0.0618896484375, 0.64990234375, 0.302490234375, 0.6552734375, 0.457275390625, 0.8984375, 0.46630859375, 0.258544921875, 0.6357421875, 0.8251953125, 0.282958984375, 0.216064453125, 0.1767578125, 0.385986328125, 0.468017578125, 1.1435546875, 0.19482421875, 0.391845703125, -0.10968017578125, -0.286865234375, -0.40283203125, 0.250732421875, -0.3115234375, 0.58349609375, -0.1339111328125, 0.6435546875, -0.32421875, -0.125, 0.199951171875, 0.79736328125, -0.91796875, -0.72607421875, -0.0159149169921875, -0.06329345703125, 0.2086181640625, 0.358642578125, 0.38623046875, 0.1053466796875, 0.401611328125, 0.5576171875, -0.2093505859375, -0.267333984375, -0.701171875, -0.6884765625, -1.1220703125, -0.4609375, -1.0009765625, -0.167724609375, 0.1802978515625, -0.94580078125, 0.3349609375, -0.47412109375, -0.39453125, 0.378662109375, -0.52294921875, 0.6845703125, -0.57470703125, 0.86474609375, -0.68701171875, 0.4287109375, 0.03436279296875, 0.9599609375, -0.447998046875, -0.34130859375, 0.018829345703125, -0.57373046875, 0.607421875, 0.211181640625, 0.73291015625, -0.01305389404296875, -0.56103515625, -0.9375, -0.369873046875, 0.0799560546875, -0.50830078125, 0.1761474609375, -0.48291015625, 0.98193359375, 0.54248046875, -0.35009765625, 0.82958984375, 1.10546875, -1.171875, 0.41650390625, 0.47412109375, 0.1358642578125, -0.740234375, 1.375, 0.458740234375, 0.4443359375, -0.56005859375, -0.422607421875, -0.6005859375, -0.042449951171875, 0.44775390625, -0.6220703125, -0.10986328125, 0.4951171875, -0.1650390625, -1.322265625, 0.468994140625, -1.263671875, -0.40869140625, -0.6962890625, -0.450927734375, 0.94873046875, 0.74755859375, 0.12548828125, -0.560546875, -0.53955078125, -0.324951171875, 0.447021484375, 0.556640625, -0.5654296875, 0.27685546875, 0.734375, 0.1263427734375, 0.334716796875, -0.171630859375, -0.416748046875, -0.16943359375, 0.11358642578125, 0.227294921875, 0.759765625, -0.0565185546875, 0.3173828125, 0.0036602020263671875, 0.76806640625, -1.017578125, -0.361083984375, -0.45654296875, 0.9873046875, 0.66796875, 0.68115234375, 0.62451171875, -0.53759765625, -0.46630859375, -0.9521484375, 0.7802734375, 0.06304931640625, 0.8623046875, -0.4638671875, 0.76123046875, 0.1802978515625, -0.9599609375, 0.5517578125, -0.5859375, 0.0205230712890625, 0.9541015625, -0.383056640625, 1.09375, -0.56298828125, 0.302734375, -0.0709228515625, 0.1064453125, 0.42919921875, 0.4853515625, 0.477294921875, -0.339599609375, -0.377197265625, -0.1357421875, 0.0706787109375, -0.102783203125, -0.67041015625, 0.306640625, -0.2437744140625, -0.267822265625, -1.0087890625, 0.488037109375, 0.671875, 0.77880859375, -0.1749267578125, 0.478759765625, 0.381103515625, 0.3828125, 0.49560546875, -0.11370849609375, 0.39794921875, -0.9873046875, 0.61767578125, 0.261474609375, -0.4755859375, -0.53564453125, -0.5478515625, -0.409423828125, 0.25048828125, -0.1600341796875, -0.00778961181640625, -1.04296875, 0.26806640625, 0.040771484375, 0.414794921875, -1.08203125, -0.007610321044921875, -0.61328125, 0.6328125, 0.2232666015625, -1.033203125, 0.53662109375, -0.935546875, 0.3759765625, 0.6796875, 0.07269287109375, -0.5810546875, -0.08563232421875, -1.01953125, -0.52392578125, -0.1085205078125, 0.93359375, -0.11212158203125, -0.057464599609375, -0.93701171875, 0.360107421875, 0.5126953125, -0.51318359375, -0.07415771484375, -0.40380859375, 0.5205078125, -0.04296875, 1.03125, -0.5205078125, -0.92578125, 0.11279296875, -0.92431640625, 0.248779296875, -0.62744140625, 0.54833984375, 0.049224853515625, -0.04339599609375, 0.1221923828125, 0.238525390625, -0.44189453125, 0.1705322265625, -0.1287841796875, 0.31396484375, -0.8359375, -0.8076171875, 0.58056640625, -0.039306640625, -0.5615234375, 0.90625, 0.1754150390625, -0.42333984375, 0.101806640625, 0.496337890625, -0.428955078125, 0.425048828125, -0.63134765625, 0.181396484375, -0.1884765625, -0.8046875, -0.1102294921875, -0.42578125, 0.59912109375, -0.1536865234375, -1.0693359375, -0.2178955078125, -1.0107421875, -0.410888671875, -0.2017822265625, -1.0791015625, 0.31884765625, 0.028472900390625, -0.2315673828125, 0.1500244140625, -0.08160400390625, -0.68212890625, -0.52099609375, -0.364013671875, -0.31787109375, 0.3271484375, 0.583984375, 1.0888671875, 0.1820068359375, -0.1673583984375, -0.51513671875, 0.07525634765625, 0.09503173828125, -0.677734375, -0.437255859375, 0.03802490234375, -0.2254638671875, -0.286376953125, 0.435791015625, -0.2210693359375, 0.219970703125, 0.7001953125, 0.369140625, 0.327392578125, 0.0777587890625, -0.8046875, 0.982421875, 0.09796142578125, -1.125, -0.77490234375, 0.3779296875, 0.14990234375, 0.84716796875, 0.1859130859375, -0.361083984375, -0.8916015625, -1.0703125, 0.01399993896484375, -0.68701171875, -0.115234375, -1.1357421875, -0.5107421875, -0.1883544921875, 0.6162109375, 0.0972900390625, 0.10455322265625, 0.243896484375, -1.259765625, 0.052581787109375, -0.49951171875, -0.21728515625, -1.1923828125, -0.33056640625, -0.22216796875, 1.169921875, 0.4560546875, 0.289306640625, 0.07708740234375, -0.042449951171875, -0.07989501953125, -0.34814453125, -0.5, -0.254638671875, -0.0938720703125, -0.09124755859375, -0.39794921875, 0.10052490234375, -0.583984375, 0.8916015625, -0.8671875, 0.13037109375, -0.0694580078125, -0.211669921875, -0.258544921875, -0.3017578125, 1.12890625, -0.447021484375, 0.0197601318359375, -0.379150390625, 0.556640625, 0.97802734375, -0.56201171875, -0.2008056640625, -0.85986328125, -0.68017578125, -1.119140625, 0.56884765625, -0.71142578125, 0.038482666015625, -0.67041015625, -0.3505859375, 1.1796875, -0.2060546875, 0.445556640625, 1.1689453125, 0.128662109375, 0.30078125, -0.63134765625, 0.91748046875, 0.409912109375, -0.71484375, -0.26611328125, -0.245849609375, -0.89599609375, 0.248779296875, -0.34423828125, -1.107421875, -0.435791015625, 0.5703125, 1.1875, -0.0236663818359375, 1.162109375, -0.255859375, -0.95458984375, -0.402099609375, 0.7734375, 0.467041015625, 0.1875, 0.986328125, 0.1566162109375, -0.209716796875, 0.1949462890625, -0.173828125, -0.1768798828125, -0.1273193359375, 1.328125, -0.263916015625, -0.7109375, 0.58154296875, 0.728515625, -1.3076171875, -0.85595703125, -0.309326171875, -0.1361083984375, -0.36328125, -0.654296875, 0.5380859375, 0.4365234375, -0.364013671875, -0.1658935546875, 0.6025390625, -0.468994140625, 0.447265625, 0.2034912109375, 0.16259765625, -0.44580078125, 0.3212890625, 0.444091796875, -0.6328125, -0.52490234375, -0.447509765625, 0.270751953125, -0.279296875, 0.2391357421875, 0.66552734375, -0.609375, -0.048736572265625, 0.339599609375, -0.279052734375, 0.83447265625, -0.6005859375, -0.7861328125, -0.007007598876953125, -0.6748046875, -0.673828125, -0.243896484375, 0.36376953125, -0.2294921875, 0.5703125, -0.351318359375, -0.304443359375, 0.32568359375, 0.348388671875, -0.1588134765625, -0.9892578125, -0.39501953125, -1.140625, -0.394775390625, -0.470947265625, -0.525390625, -0.295166015625, 0.357666015625, 0.468017578125, -0.6318359375, 0.06854248046875, 0.94140625, -0.31103515625, 1.0556640625, -0.73095703125, 0.1385498046875, -0.477783203125, -0.69482421875, -0.54638671875, 0.1046142578125, -0.323974609375, 0.09552001953125, -0.1787109375, 0.81201171875, -0.090087890625, 0.16455078125, -0.33203125, 0.312744140625, -0.224365234375, -0.147216796875, 0.2481689453125, 0.1922607421875, -0.0595703125, 0.66455078125, 0.307373046875, -0.107666015625, 0.455810546875, -0.308349609375, -0.409912109375, -0.494140625, 0.68896484375, 0.5419921875, -0.320556640625, -0.1976318359375, -0.1986083984375, -0.134765625, -0.8212890625, 0.3828125, -0.2705078125, 0.0166778564453125, -0.34716796875, -0.475341796875, 0.6240234375, 1.1220703125, -0.33203125, 0.26025390625, 0.08782958984375, 0.320556640625, 0.279296875, 0.64697265625, -0.08349609375, 0.4990234375, -0.1785888671875, -0.01273345947265625, 0.0243988037109375, 0.583984375, 0.056243896484375, 0.277587890625, -0.36669921875, -0.751953125, -1.099609375, -0.1768798828125, 0.0863037109375, 0.42919921875, 0.14404296875, -0.473876953125, -0.0050811767578125, -0.1383056640625, -0.417236328125, 0.354248046875, -0.97021484375, -1.0107421875, 0.343017578125, -0.364013671875, -0.73779296875, -0.19384765625, -0.52734375, 0.13916015625, 0.2030029296875, 0.23681640625, -0.4921875, 0.461669921875, 0.1549072265625, 0.697265625, -0.316162109375, -0.240234375, -0.1373291015625, 0.083740234375, -0.94091796875, -0.580078125, 0.1329345703125, 0.88525390625, 0.05810546875, -0.3837890625, -0.55517578125, 0.0005931854248046875, -0.309814453125, 0.38720703125, -0.59326171875, -0.156005859375, -0.1617431640625, 0.76123046875, -0.8603515625, 0.1717529296875, 0.08660888671875, 0.250244140625, 0.2047119140625, -0.50390625, -0.95166015625, 0.76416015625, 0.424560546875, -0.096923828125, 0.6220703125, 0.043243408203125, 0.7216796875, -0.1085205078125, -0.09954833984375, -0.037506103515625, 0.65234375, 0.460693359375, 0.5380859375, 0.1685791015625, 0.79833984375, 0.464111328125, 0.1727294921875, -0.344970703125, 0.92724609375, 0.3017578125, 0.1822509765625, 0.1129150390625, -0.1973876953125, -0.1568603515625, 0.1866455078125, -0.480224609375, -0.0252685546875, -0.576171875, -0.12322998046875, -0.35009765625, -0.5546875, 0.95703125, -0.009735107421875, -0.2392578125, -0.013275146484375, -0.447265625, 0.315673828125, 0.74658203125, -0.019378662109375, -0.0036907196044921875, 0.94775390625, 0.9609375, 0.279296875, 0.51708984375, 0.240478515625, 0.0682373046875, -0.51953125, 0.1490478515625, 0.227783203125, 0.058074951171875, -0.465576171875, -0.8935546875, -0.9765625, 0.68603515625, 0.03179931640625, 0.1729736328125, 0.4326171875, -0.50146484375, -0.1602783203125, -0.446044921875, 0.93212890625, -0.83349609375, 0.431396484375, 0.322265625, 0.07220458984375, -0.60888671875, 0.61083984375, -0.33056640625, 0.209228515625, 0.53076171875, 0.80078125, -0.07366943359375, 1.6376953125, 0.26806640625, -0.077392578125, -0.07379150390625, 0.6015625, -0.267578125, -0.49267578125, -0.479736328125, -0.52783203125, -0.153076171875, -0.490478515625, -0.463134765625, -0.16845703125, 0.84814453125, 0.036346435546875, -0.90087890625, -0.357177734375, 0.1402587890625, -0.63037109375, 0.64501953125, 0.27978515625, 0.270751953125, 0.1629638671875, 0.0421142578125, 0.08782958984375, -0.41064453125, 0.2059326171875, -0.432373046875, 0.6787109375, -0.7119140625, -0.4384765625, -0.57080078125, -0.42822265625, 0.090087890625, 0.2232666015625, -0.4111328125, -0.76025390625, 0.26171875, 0.4443359375, 0.11993408203125, -0.09130859375, -0.387939453125, 0.09197998046875, 1.1865234375, 0.80908203125, -0.280517578125, 0.83447265625, 0.3251953125, -0.270263671875, 0.13134765625, -0.306640625, 0.55126953125, 0.16064453125, -0.0732421875, -0.384033203125, 0.1861572265625, -0.97265625, -1.3037109375, -0.323974609375, 0.4794921875, 0.287353515625, -0.71923828125, -1.1318359375, -0.52880859375, -0.5390625, -0.36083984375, -0.64599609375, 0.5908203125, -0.2059326171875, -0.289794921875, -0.06640625, -1.259765625, 4.2890625, 0.87646484375, 0.5947265625, 0.031494140625, 0.3037109375, 1.0380859375, 0.64599609375, -0.51025390625, 0.11383056640625, -0.576171875, 0.387451171875, -0.6875, -0.11480712890625, 0.92578125, 0.25537109375, 0.701171875, -0.53759765625, 0.374267578125, -0.07989501953125, -0.83251953125, -0.77783203125, 0.3291015625, 0.17724609375, 0.6845703125, 0.1319580078125, 0.3125, 0.3544921875, -0.66455078125, -0.06915283203125, -0.83056640625, 0.359130859375, -0.5234375, 0.97705078125, 0.0860595703125, -0.042144775390625, 0.72607421875, 0.428955078125, -0.7021484375, -0.302490234375, -0.0036449432373046875, -0.182373046875, -0.012237548828125, 0.67236328125, -0.677734375, 0.026397705078125, 0.65869140625, -1.025390625, 0.354248046875, 0.411376953125, -1.1005859375, 0.90478515625, -0.6015625, 0.67919921875, -0.54248046875, -0.619140625, -0.0107421875, 0.02301025390625, -0.26123046875, -0.29638671875, 0.448974609375, -0.034576416015625, 0.1561279296875, 0.2347412109375, 0.6904296875, -1.1474609375, 0.515625, 0.1710205078125, 0.100830078125, -0.53173828125, -0.281494140625, -0.00887298583984375, -0.090087890625, -0.308837890625, -0.35498046875, 0.89892578125, 0.260498046875, -0.62109375, 0.39697265625, 0.734375, -0.73583984375, 0.08758544921875, -0.5771484375, -0.2181396484375, -0.3681640625, 0.599609375, 0.84375, -0.55322265625, -0.6318359375, -0.3486328125, 0.55029296875, 0.7412109375, 0.78125, -0.150390625, -0.56884765625, -0.216552734375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Thanks to your help, Heidi is confident that no one can fool her. She has now decided to post some fake news on the HC2 Facebook page. However, she wants to be able to communicate to the HC2 committee that the post is fake, using some secret phrase hidden in the post as a subsequence. To make this method foolproof, she wants the phrase to appear n times in the post. She is asking you to design a post (string) s and a hidden phrase p such that p appears in s as a subsequence exactly n times. Input The first and only line of input contains a single integer n (1 ≤ n ≤ 1 000 000). Output The output should contain two nonempty strings s and p separated by a single space. Each string should be composed of letters (a-z and A-Z: both lowercase and uppercase are allowed) and have length at most 200. The number of occurrences of p in s as a subsequence should be exactly n. If there are many possible solutions, output any of them. It is guaranteed that at least one solution exists. Examples Input 2 Output hHheidi Hei Input 4 Output bbbba ba Input 6 Output aaabb ab Note An occurrence of p as a subsequence in s should be thought of as a set of positions in s such that the letters at these positions, in order, form p. The number of occurences is thus the number of such sets. For example, ab appears 6 times as a subsequence in aaabb, for the following sets of positions: {1, 4}, {1, 5}, {2, 4}, {2, 5}, {3, 4}, {3, 5} (that is, we should choose one of the a's and one of the b's). Tags: constructive algorithms, strings Correct Solution: ``` def rek(k): if k == 1: return ('a', 'a') elif k == 2: return ('aa', 'a') s, p = rek((k - 1) // 2) x = chr(ord(p[-1]) + 1) return (p + x * (2 - k % 2) + s[len(p):] + 2 * x, p + x) s, p = rek(int(input())) print(s, p) ```
5,531
[ 0.26904296875, 0.1011962890625, 0.490966796875, 0.521484375, -0.322998046875, -0.6171875, -0.1336669921875, 0.088134765625, 0.395263671875, 0.92138671875, 0.69775390625, -0.2308349609375, 0.0450439453125, -0.5107421875, -0.515625, -0.01457977294921875, -0.42626953125, -0.66455078125, -0.21728515625, -0.4375, 0.1907958984375, -0.1617431640625, -1.537109375, -0.389404296875, -0.73779296875, 1.0009765625, 0.316650390625, -0.08050537109375, 1.18359375, 1.17578125, 0.042572021484375, -0.38818359375, 0.50732421875, -1.1455078125, -0.0555419921875, -0.6748046875, 0.9794921875, -0.654296875, -0.24462890625, -0.386474609375, 0.29541015625, -0.1417236328125, 0.50634765625, -0.464111328125, -1.119140625, -0.3369140625, -0.326904296875, -0.1573486328125, -0.2479248046875, -0.272705078125, 0.61181640625, -0.19091796875, 0.55810546875, -0.0323486328125, 0.08123779296875, 0.046234130859375, -0.2000732421875, -0.32763671875, -0.55810546875, 0.423828125, 0.2142333984375, 0.2294921875, 0.11083984375, -0.76318359375, -0.17138671875, 0.189697265625, 0.1328125, -0.11328125, -0.2225341796875, -0.9150390625, -0.059844970703125, 0.02655029296875, -0.56787109375, -0.2088623046875, -0.51123046875, -0.07733154296875, -0.0921630859375, -0.0291290283203125, -0.53662109375, 0.80712890625, -0.226806640625, 0.89208984375, 0.2113037109375, 0.35498046875, -0.402587890625, -0.52978515625, 0.424072265625, 0.296142578125, 0.257568359375, -0.13916015625, -0.121826171875, 0.42041015625, -0.48779296875, -0.278564453125, 0.392333984375, 0.367919921875, -0.22705078125, 0.4951171875, 0.49658203125, 0.5263671875, 0.74365234375, 0.79638671875, -0.59765625, 1.1552734375, -0.317626953125, -0.070068359375, 0.58935546875, -0.039886474609375, -0.515625, -0.466796875, -0.31298828125, -0.374755859375, 0.42724609375, 0.0567626953125, -0.187744140625, 0.75537109375, 0.294921875, 0.51416015625, -0.82275390625, 0.239990234375, 0.290771484375, -0.07861328125, 0.455322265625, -0.11920166015625, 0.11859130859375, -0.406494140625, -0.2120361328125, 1.326171875, -0.75048828125, 0.03436279296875, 0.465576171875, -0.229736328125, -0.002658843994140625, 0.58447265625, -0.22705078125, 0.39892578125, -0.142578125, 0.5361328125, 0.9677734375, -0.72265625, 0.5869140625, -0.0499267578125, -0.10565185546875, 1.4033203125, 0.1961669921875, 0.61328125, 1.0146484375, 0.275634765625, -0.65478515625, 0.214111328125, -0.88232421875, 0.55224609375, 0.04888916015625, 0.45458984375, -0.50927734375, 0.216552734375, -0.04559326171875, 0.3095703125, -0.1341552734375, 0.310791015625, 0.0180511474609375, 0.50830078125, -0.28759765625, 1.0498046875, -0.609375, 0.94970703125, -0.371337890625, -0.5673828125, -0.2137451171875, -1.0234375, 0.46484375, -0.068115234375, -0.3984375, 0.57421875, 0.34619140625, 0.81396484375, 0.84375, -0.436279296875, 0.29931640625, 0.245361328125, -0.335205078125, 0.2469482421875, 0.53125, 0.9248046875, 0.06512451171875, 0.037841796875, 0.028228759765625, -0.137939453125, -0.48828125, -0.63232421875, 0.09246826171875, 0.86767578125, -0.6435546875, 0.328125, 0.48974609375, 0.069580078125, -1.37890625, -0.41064453125, 0.2314453125, -1.033203125, -0.29638671875, 0.6083984375, -0.033233642578125, 0.51318359375, -0.50830078125, -0.490234375, 0.4384765625, 1.05078125, -0.642578125, -0.01476287841796875, 0.168212890625, 0.1290283203125, -0.3896484375, 0.116943359375, 0.2763671875, -0.33642578125, -0.861328125, 0.6728515625, -0.195068359375, 0.00525665283203125, -0.02783203125, 0.65087890625, 0.76806640625, 0.477294921875, -0.10626220703125, -0.2232666015625, 0.4892578125, 1.0751953125, 0.030487060546875, 0.65673828125, 0.30029296875, 0.56982421875, 0.123291015625, 0.64990234375, 0.313232421875, 0.03515625, 0.235595703125, 0.896484375, 0.46875, 0.357177734375, 0.0989990234375, 0.12310791015625, 0.6748046875, 0.51904296875, 0.05633544921875, 0.466796875, -0.1741943359375, 0.00811767578125, -0.428955078125, 0.2056884765625, -0.344970703125, 0.765625, 0.3671875, 0.62451171875, -0.53076171875, -0.454833984375, 0.2099609375, 1.2001953125, -0.88427734375, -0.37060546875, -0.13525390625, 0.453857421875, 0.131591796875, 0.04034423828125, 0.1312255859375, 0.411865234375, 0.439208984375, 0.5888671875, -0.4736328125, -0.313232421875, -0.87158203125, -0.8837890625, -1.046875, -0.486328125, -0.415771484375, -0.01123046875, 0.361572265625, -0.6650390625, 0.258056640625, -0.228759765625, -0.1256103515625, 0.5078125, -0.389892578125, 0.45751953125, -0.07049560546875, 0.469482421875, -0.77978515625, 0.6982421875, 0.50732421875, 0.89990234375, -0.74853515625, 0.023590087890625, 0.1077880859375, -0.52734375, 0.08740234375, -0.287353515625, 0.01458740234375, -0.2314453125, -0.484130859375, -0.505859375, -0.1790771484375, 0.047576904296875, -0.038299560546875, -0.035369873046875, -0.9150390625, 0.77197265625, 0.35791015625, -0.728515625, 0.740234375, 1.0078125, -0.63134765625, 0.60400390625, 0.45654296875, 0.06634521484375, -0.8271484375, 1.4970703125, 0.55615234375, 0.54443359375, -0.443115234375, -0.1978759765625, -0.79150390625, -0.18310546875, 0.09210205078125, -0.83447265625, -0.53955078125, 0.41796875, 0.221923828125, -1.1142578125, 0.31103515625, -1.3369140625, -0.6279296875, -0.1339111328125, -0.2459716796875, 0.95703125, 1.1220703125, 0.04681396484375, -0.2100830078125, 0.014984130859375, -0.0753173828125, 1.0283203125, 0.350830078125, -0.43017578125, 0.08453369140625, 0.796875, -0.023529052734375, 0.33056640625, 0.427001953125, -0.55224609375, -0.1160888671875, -0.12548828125, 0.3369140625, 0.58349609375, 0.413818359375, 0.246337890625, 0.1326904296875, 1.013671875, -0.70654296875, -0.367431640625, 0.195556640625, 0.49072265625, 0.479248046875, 0.5908203125, 0.490966796875, -0.362060546875, -0.71728515625, -1.01953125, 0.3447265625, 0.042388916015625, 0.6796875, -0.7041015625, 0.607421875, 0.318359375, -0.64111328125, 0.7978515625, -0.79931640625, -0.65869140625, 0.72705078125, -0.0009579658508300781, 0.468505859375, -0.58203125, 0.335205078125, -0.2724609375, 0.485595703125, 0.7939453125, 0.2276611328125, 0.51806640625, -0.4208984375, -0.55126953125, -0.5, 0.405517578125, -0.333984375, -0.90966796875, 0.44482421875, -0.306640625, -0.26416015625, -0.76318359375, 0.35498046875, 0.6826171875, 0.8935546875, -0.078857421875, 0.87451171875, 0.2364501953125, 0.81982421875, 0.59619140625, -0.3349609375, 0.12139892578125, -0.92138671875, 0.791015625, 0.26171875, 0.10675048828125, -0.357177734375, 0.07080078125, -0.10882568359375, 0.05206298828125, 0.039947509765625, -0.38037109375, -0.814453125, -0.163330078125, -0.2939453125, 0.416259765625, -0.2362060546875, -0.388916015625, -0.2032470703125, 0.66064453125, 0.250732421875, -0.94140625, 0.265380859375, -0.82177734375, 0.49951171875, 0.288818359375, -0.1580810546875, -0.406982421875, -0.446044921875, -0.67578125, -0.8349609375, -0.2078857421875, 0.6884765625, -0.12176513671875, 0.1934814453125, -1.4052734375, 0.43798828125, 0.240966796875, 0.084228515625, 0.06854248046875, 0.039947509765625, 0.67578125, 0.18017578125, 0.62060546875, -0.498779296875, -0.460205078125, -0.16015625, -0.7763671875, 0.13330078125, -0.603515625, 0.0208587646484375, -0.1982421875, 0.29296875, 0.032440185546875, 0.467529296875, -0.06866455078125, 0.2578125, -0.08868408203125, 0.3115234375, -0.587890625, -0.814453125, 0.76708984375, 0.0179595947265625, -0.492431640625, 0.85107421875, -0.1529541015625, -0.1959228515625, 0.21630859375, 0.64697265625, -0.398681640625, 0.31591796875, -0.150146484375, 0.681640625, 0.154541015625, -0.479248046875, -0.1556396484375, -0.5380859375, 0.64306640625, -0.273681640625, -1.140625, -0.448974609375, -1.2548828125, 0.0662841796875, -0.0498046875, -0.51708984375, 0.401611328125, 0.1226806640625, -0.047882080078125, -0.111083984375, -0.4462890625, -0.76904296875, -0.13525390625, -0.55078125, -0.202880859375, 0.1461181640625, 0.6396484375, 0.87060546875, 0.061126708984375, -0.71435546875, -0.147705078125, -0.0264739990234375, 0.1875, -0.43994140625, -0.361572265625, -0.23681640625, -0.0743408203125, -0.25830078125, 0.2041015625, -0.06292724609375, 0.277099609375, 0.8642578125, 0.01125335693359375, 0.6552734375, 0.1973876953125, -0.57080078125, 0.8720703125, 0.158447265625, -1.283203125, -0.48486328125, 0.27685546875, -0.314697265625, 0.54296875, 0.54296875, -1.08984375, -0.55419921875, -0.93359375, -0.052703857421875, -0.7099609375, -0.0194091796875, -0.876953125, -0.356689453125, -0.65478515625, 0.71923828125, -0.25048828125, -0.81640625, 0.1204833984375, -0.85302734375, -0.083740234375, -0.3779296875, -0.487060546875, -0.80126953125, -0.493896484375, -0.3271484375, 0.5185546875, 0.205322265625, 0.218994140625, -0.2152099609375, -0.379638671875, 0.375244140625, 0.1397705078125, -0.485107421875, -0.486083984375, 0.1026611328125, -0.1329345703125, -0.301513671875, 0.16357421875, -0.56640625, 0.849609375, -0.6435546875, 0.2142333984375, -0.2227783203125, -0.49658203125, 0.01165771484375, -0.08740234375, 1.01953125, -0.54833984375, -0.09674072265625, -0.428466796875, 0.13671875, 0.5771484375, -0.138671875, -0.5419921875, -0.5830078125, -0.60791015625, -0.81640625, 0.82568359375, -0.3486328125, 0.0843505859375, -0.6259765625, -0.2353515625, 0.87841796875, -0.381591796875, 0.603515625, 1.474609375, 0.2666015625, 0.443603515625, -0.8115234375, 0.267333984375, 0.3642578125, -0.533203125, 0.0667724609375, 0.23828125, -0.54052734375, 0.294921875, -0.32275390625, -0.7431640625, -0.57373046875, 0.00559234619140625, 1.0244140625, -0.2174072265625, 0.87548828125, -0.262451171875, -0.931640625, -0.6416015625, 0.67041015625, 0.02386474609375, 0.2626953125, 0.88623046875, -0.033966064453125, 0.1177978515625, -0.2435302734375, 0.1903076171875, -0.65625, -0.65625, 1.1201171875, -0.14404296875, -0.65966796875, 0.57861328125, 1.037109375, -1.01953125, -0.6884765625, 0.054962158203125, -0.04486083984375, 0.119140625, -0.57666015625, -0.2088623046875, 0.5615234375, -0.83203125, 0.2279052734375, 0.2900390625, -0.175537109375, 0.0919189453125, 0.10430908203125, 0.2548828125, -0.5625, 0.7705078125, 0.8984375, -0.0931396484375, -0.35205078125, -1.046875, -0.25830078125, -0.262451171875, 0.175048828125, 0.779296875, -0.44091796875, 0.03363037109375, 0.75341796875, -0.300048828125, 0.90478515625, -0.37255859375, -0.2147216796875, 0.16259765625, -0.53662109375, -0.4521484375, -0.1187744140625, 0.439208984375, -0.419189453125, 0.217041015625, -0.27392578125, 0.1529541015625, 0.339599609375, 0.322265625, -0.40234375, -1.17578125, -0.2108154296875, -0.93603515625, -0.412109375, -0.76416015625, -0.57861328125, -0.14306640625, -0.07586669921875, -0.08404541015625, -0.1578369140625, -0.388427734375, 0.505859375, -0.9638671875, 0.87939453125, -0.8779296875, -0.08563232421875, -0.3759765625, -0.312255859375, -0.7490234375, -0.1522216796875, -0.31201171875, -0.303955078125, -0.443603515625, 0.302734375, -0.172607421875, 0.6318359375, 0.1859130859375, 0.461181640625, -0.30078125, -1.015625, -0.274658203125, 0.11474609375, -0.2998046875, 0.72607421875, 0.118408203125, -0.2003173828125, 0.1324462890625, -0.1402587890625, -0.26171875, -0.4775390625, 0.3896484375, 0.2626953125, 0.159423828125, -0.41455078125, -0.0950927734375, -0.03436279296875, -0.70556640625, 0.18408203125, -0.0689697265625, 0.2247314453125, 0.370361328125, -0.2509765625, 0.53271484375, 1.0830078125, -0.243408203125, 0.39697265625, 0.328125, 0.12103271484375, 0.2587890625, 0.413330078125, 0.368896484375, 0.51171875, 0.174560546875, -0.251708984375, 0.2763671875, 0.381591796875, -0.131103515625, 0.310791015625, -0.29345703125, -0.513671875, -0.76611328125, -0.56884765625, -0.12042236328125, 0.3818359375, 0.10894775390625, -0.480712890625, -0.400146484375, 0.447021484375, -0.361572265625, 0.434814453125, -1.1513671875, -0.67529296875, 0.7783203125, -0.208251953125, -0.4404296875, -0.30419921875, -0.42041015625, -0.1744384765625, 0.2447509765625, 0.426513671875, -0.81201171875, 0.52978515625, -0.1962890625, 0.5341796875, -0.252685546875, -0.0872802734375, -0.0921630859375, 0.43017578125, -0.63134765625, -0.62255859375, 0.342041015625, 1.2412109375, 0.12200927734375, -0.32421875, -0.720703125, 0.2125244140625, -0.100341796875, -0.08294677734375, -0.439697265625, 0.548828125, -0.3984375, 0.466796875, -0.6025390625, 0.064208984375, -0.08294677734375, 0.826171875, 0.2052001953125, -0.5791015625, -0.483154296875, 0.3583984375, 0.34033203125, -0.14111328125, 0.47900390625, 0.1790771484375, 0.58642578125, -0.05413818359375, 0.0269775390625, -0.364013671875, 0.88818359375, 0.457763671875, 0.492431640625, -0.376953125, 0.2841796875, 0.693359375, -0.26318359375, -0.2861328125, 0.5615234375, -0.005168914794921875, 0.045501708984375, 0.11444091796875, -0.3115234375, -0.060791015625, -0.27685546875, -0.25732421875, 0.28955078125, -0.4287109375, 0.07275390625, -0.471923828125, -0.7197265625, 0.84228515625, 0.05615234375, -0.42919921875, 0.135498046875, -0.2415771484375, 0.1590576171875, 1.09375, -0.258056640625, -0.0841064453125, 0.84814453125, 0.78857421875, 0.148193359375, 0.61962890625, 0.2347412109375, 0.394775390625, -0.39306640625, 0.1390380859375, -0.041046142578125, 0.03765869140625, -0.4951171875, -0.4560546875, -0.84765625, 0.462646484375, -0.3525390625, -0.190673828125, 0.9306640625, -0.515625, 0.08038330078125, -0.431884765625, 0.90625, -0.447509765625, 0.0921630859375, 0.2861328125, -0.4677734375, -0.90966796875, 0.85302734375, -0.29296875, 0.2305908203125, 0.148193359375, 0.8974609375, -0.0751953125, 1.2587890625, 0.5185546875, -0.017181396484375, -0.10968017578125, 0.065185546875, -0.1517333984375, -0.396240234375, -0.301513671875, -0.440673828125, 0.0989990234375, -0.69482421875, -0.53955078125, -0.005889892578125, 0.85498046875, -0.291748046875, -1.275390625, 0.1029052734375, 0.33154296875, -0.75634765625, 0.1593017578125, 0.5419921875, 0.156494140625, -0.430419921875, -0.1204833984375, 0.06207275390625, -0.3125, -0.03851318359375, -0.6181640625, 0.239501953125, -0.490478515625, -0.7822265625, -0.74609375, -0.91748046875, -0.32080078125, -0.13720703125, -0.421142578125, -0.52685546875, 0.5205078125, 0.5478515625, 0.74267578125, 0.364990234375, -0.51318359375, 0.68408203125, 0.94140625, 1.1806640625, 0.042327880859375, 0.60546875, 0.38232421875, -0.1844482421875, 0.166015625, -0.2154541015625, 0.39111328125, -0.0164947509765625, -0.08172607421875, -0.2239990234375, 0.08856201171875, -0.86474609375, -1.4619140625, 0.390869140625, 0.52099609375, 0.52587890625, -0.72705078125, -1.25390625, -0.0623779296875, -1.13671875, 0.020751953125, -0.5009765625, 0.8212890625, -0.1358642578125, -0.0877685546875, -0.3642578125, -1.1669921875, 4.42578125, 0.81494140625, 0.95361328125, 0.1622314453125, 0.32861328125, 0.748046875, 0.939453125, -0.3369140625, -0.385498046875, -0.109130859375, 0.45166015625, -0.740234375, 0.08197021484375, 0.53955078125, 0.413818359375, 0.377685546875, -0.671875, 0.436767578125, -0.12322998046875, -1.1103515625, -1.0166015625, 0.2342529296875, -0.01233673095703125, 0.77392578125, 0.2298583984375, -0.027008056640625, 0.216064453125, -0.54833984375, -0.163818359375, -0.458740234375, 0.251220703125, -0.5244140625, 1.015625, -0.05267333984375, -0.10186767578125, 0.216064453125, 0.319580078125, -0.68603515625, -0.252197265625, -0.0228424072265625, 0.046112060546875, 0.1397705078125, 0.482666015625, -1.060546875, -0.33837890625, 0.471435546875, -0.572265625, 0.515625, 0.09686279296875, -1.1640625, 0.99951171875, -0.435302734375, 0.63330078125, -0.59130859375, -0.60302734375, -0.31787109375, -0.0125885009765625, -0.2227783203125, -0.1103515625, 0.65234375, 0.2027587890625, 0.87353515625, -0.01253509521484375, 0.2288818359375, -1.0771484375, 0.370849609375, -0.0198822021484375, 0.337158203125, -0.611328125, 0.06427001953125, -0.258544921875, -0.076416015625, 0.0011272430419921875, -0.27685546875, 0.356201171875, 0.388427734375, -0.4814453125, 0.849609375, 0.417724609375, -0.85302734375, -0.057373046875, -0.25048828125, -0.40234375, -0.28369140625, 0.66162109375, 1.310546875, -0.96044921875, -0.26904296875, -0.71875, 1.087890625, 0.441162109375, 0.49609375, -0.00833892822265625, -0.384521484375, -0.391357421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Thanks to your help, Heidi is confident that no one can fool her. She has now decided to post some fake news on the HC2 Facebook page. However, she wants to be able to communicate to the HC2 committee that the post is fake, using some secret phrase hidden in the post as a subsequence. To make this method foolproof, she wants the phrase to appear n times in the post. She is asking you to design a post (string) s and a hidden phrase p such that p appears in s as a subsequence exactly n times. Input The first and only line of input contains a single integer n (1 ≤ n ≤ 1 000 000). Output The output should contain two nonempty strings s and p separated by a single space. Each string should be composed of letters (a-z and A-Z: both lowercase and uppercase are allowed) and have length at most 200. The number of occurrences of p in s as a subsequence should be exactly n. If there are many possible solutions, output any of them. It is guaranteed that at least one solution exists. Examples Input 2 Output hHheidi Hei Input 4 Output bbbba ba Input 6 Output aaabb ab Note An occurrence of p as a subsequence in s should be thought of as a set of positions in s such that the letters at these positions, in order, form p. The number of occurences is thus the number of such sets. For example, ab appears 6 times as a subsequence in aaabb, for the following sets of positions: {1, 4}, {1, 5}, {2, 4}, {2, 5}, {3, 4}, {3, 5} (that is, we should choose one of the a's and one of the b's). Tags: constructive algorithms, strings Correct Solution: ``` def getstr(n): if n==1: return 'a','',1 elif n==2: return 'ab','b',2 else: if n%2==0: p,u,now=getstr((n-2)//2) c = chr(ord('a')+now) return p+c,c+u+c+c,now+1 else: p,u,now=getstr((n-1)//2) c = chr(ord('a')+now) return p+c,u+c+c,now+1 n = int(input()) ans = getstr(n) print(ans[0]+ans[1],ans[0]) ```
5,532
[ 0.2293701171875, 0.03173828125, 0.48828125, 0.485107421875, -0.324462890625, -0.58544921875, -0.09613037109375, 0.06036376953125, 0.428955078125, 0.92919921875, 0.66552734375, -0.291748046875, 0.0159454345703125, -0.5341796875, -0.4912109375, -0.022369384765625, -0.4326171875, -0.650390625, -0.221923828125, -0.41162109375, 0.1556396484375, -0.1678466796875, -1.4873046875, -0.3681640625, -0.6806640625, 0.98486328125, 0.311767578125, -0.06427001953125, 1.1728515625, 1.1611328125, 0.004772186279296875, -0.460693359375, 0.498046875, -1.0830078125, -0.0882568359375, -0.642578125, 0.91357421875, -0.63623046875, -0.218994140625, -0.392333984375, 0.28466796875, -0.1119384765625, 0.498046875, -0.4384765625, -1.1875, -0.37548828125, -0.3583984375, -0.1485595703125, -0.1944580078125, -0.2607421875, 0.61474609375, -0.1922607421875, 0.54296875, -0.036285400390625, 0.09375, 0.0211181640625, -0.1890869140625, -0.30615234375, -0.5185546875, 0.458251953125, 0.1947021484375, 0.185791015625, 0.095458984375, -0.76025390625, -0.2275390625, 0.219482421875, 0.13671875, -0.1046142578125, -0.25927734375, -0.9150390625, -0.0924072265625, 0.058319091796875, -0.5078125, -0.2098388671875, -0.501953125, -0.038360595703125, -0.10394287109375, 0.0250091552734375, -0.572265625, 0.830078125, -0.193603515625, 0.91943359375, 0.25732421875, 0.322265625, -0.43359375, -0.53173828125, 0.447021484375, 0.2705078125, 0.2198486328125, -0.1513671875, -0.11346435546875, 0.41455078125, -0.44873046875, -0.265869140625, 0.36474609375, 0.395263671875, -0.2291259765625, 0.48388671875, 0.5400390625, 0.50732421875, 0.70068359375, 0.8271484375, -0.6240234375, 1.123046875, -0.3095703125, -0.06683349609375, 0.64404296875, -0.043914794921875, -0.5205078125, -0.476806640625, -0.344482421875, -0.39111328125, 0.48974609375, 0.048980712890625, -0.2064208984375, 0.7841796875, 0.301513671875, 0.53662109375, -0.833984375, 0.30419921875, 0.260986328125, -0.14111328125, 0.417236328125, -0.1439208984375, 0.1396484375, -0.36865234375, -0.2176513671875, 1.3447265625, -0.69873046875, 0.0404052734375, 0.433837890625, -0.2373046875, 0.03973388671875, 0.58837890625, -0.201171875, 0.40576171875, -0.171142578125, 0.5146484375, 0.951171875, -0.73681640625, 0.59765625, -0.04998779296875, -0.0975341796875, 1.392578125, 0.232177734375, 0.65966796875, 0.9951171875, 0.306396484375, -0.65478515625, 0.23876953125, -0.896484375, 0.61474609375, -0.0008759498596191406, 0.447265625, -0.5087890625, 0.25634765625, -0.022796630859375, 0.3154296875, -0.1160888671875, 0.34765625, 0.0209503173828125, 0.564453125, -0.271728515625, 0.986328125, -0.6181640625, 0.89892578125, -0.31005859375, -0.59765625, -0.151123046875, -0.98583984375, 0.467529296875, -0.04547119140625, -0.379150390625, 0.5380859375, 0.344970703125, 0.759765625, 0.8193359375, -0.447265625, 0.2431640625, 0.253173828125, -0.390380859375, 0.259033203125, 0.51220703125, 0.90625, 0.1170654296875, 0.041015625, 0.0328369140625, -0.1497802734375, -0.5322265625, -0.67236328125, 0.0694580078125, 0.88037109375, -0.6064453125, 0.318115234375, 0.480224609375, 0.0435791015625, -1.3486328125, -0.408935546875, 0.2025146484375, -1.0185546875, -0.372314453125, 0.66259765625, 0.032501220703125, 0.52685546875, -0.4833984375, -0.494140625, 0.50634765625, 1.02734375, -0.64599609375, -0.01085662841796875, 0.1727294921875, 0.09844970703125, -0.358154296875, 0.1280517578125, 0.2607421875, -0.3349609375, -0.845703125, 0.67333984375, -0.1727294921875, 0.028411865234375, -0.0941162109375, 0.6591796875, 0.796875, 0.466552734375, -0.0858154296875, -0.240234375, 0.4658203125, 1.0927734375, 0.060394287109375, 0.6220703125, 0.328857421875, 0.5810546875, 0.1392822265625, 0.66064453125, 0.306396484375, 0.02813720703125, 0.24755859375, 0.8759765625, 0.4755859375, 0.35107421875, 0.0877685546875, 0.12432861328125, 0.681640625, 0.50146484375, 0.03631591796875, 0.481689453125, -0.145263671875, 0.01096343994140625, -0.443115234375, 0.22119140625, -0.3369140625, 0.7490234375, 0.34521484375, 0.6416015625, -0.50927734375, -0.4765625, 0.264892578125, 1.166015625, -0.921875, -0.36083984375, -0.15478515625, 0.45458984375, 0.09295654296875, 0.0877685546875, 0.1995849609375, 0.40185546875, 0.41796875, 0.62939453125, -0.470458984375, -0.3740234375, -0.8359375, -0.82958984375, -1.05078125, -0.470458984375, -0.429931640625, -0.03448486328125, 0.3447265625, -0.66845703125, 0.2318115234375, -0.27197265625, -0.1544189453125, 0.5234375, -0.384033203125, 0.451171875, -0.0662841796875, 0.391357421875, -0.75830078125, 0.71630859375, 0.51953125, 0.91552734375, -0.73779296875, 0.0177154541015625, 0.0714111328125, -0.54541015625, 0.08795166015625, -0.310302734375, 0.015869140625, -0.2310791015625, -0.50634765625, -0.4970703125, -0.19140625, 0.0296630859375, -0.0775146484375, -0.05792236328125, -0.9130859375, 0.759765625, 0.36083984375, -0.7880859375, 0.720703125, 1.052734375, -0.62744140625, 0.62060546875, 0.49267578125, -0.00839996337890625, -0.8193359375, 1.5263671875, 0.53564453125, 0.54638671875, -0.4794921875, -0.1534423828125, -0.77490234375, -0.2154541015625, 0.1302490234375, -0.82177734375, -0.58251953125, 0.448486328125, 0.2119140625, -1.103515625, 0.344970703125, -1.3251953125, -0.56591796875, -0.1524658203125, -0.22607421875, 0.97119140625, 1.0869140625, 0.0889892578125, -0.190673828125, -0.034088134765625, -0.058135986328125, 1.044921875, 0.3798828125, -0.434326171875, 0.059295654296875, 0.810546875, -0.06427001953125, 0.326171875, 0.427978515625, -0.61474609375, -0.09893798828125, -0.13134765625, 0.35888671875, 0.64892578125, 0.3876953125, 0.2359619140625, 0.180908203125, 1.0654296875, -0.7001953125, -0.38330078125, 0.1820068359375, 0.505859375, 0.478515625, 0.62353515625, 0.5185546875, -0.320068359375, -0.71240234375, -1.02734375, 0.28271484375, 0.027923583984375, 0.73193359375, -0.71923828125, 0.5810546875, 0.285888671875, -0.59423828125, 0.79345703125, -0.83837890625, -0.66650390625, 0.76318359375, -0.0246734619140625, 0.44970703125, -0.53173828125, 0.4091796875, -0.269775390625, 0.47265625, 0.79150390625, 0.1868896484375, 0.53271484375, -0.463134765625, -0.55517578125, -0.48388671875, 0.403564453125, -0.34326171875, -0.89697265625, 0.482177734375, -0.289306640625, -0.25390625, -0.748046875, 0.39990234375, 0.677734375, 0.89208984375, -0.036224365234375, 0.84814453125, 0.2181396484375, 0.8447265625, 0.58154296875, -0.340576171875, 0.10052490234375, -0.92529296875, 0.82763671875, 0.189208984375, 0.152099609375, -0.363037109375, 0.11065673828125, -0.11602783203125, 0.07171630859375, 0.015625, -0.381591796875, -0.82958984375, -0.1412353515625, -0.2890625, 0.356689453125, -0.248779296875, -0.399658203125, -0.249267578125, 0.65625, 0.2435302734375, -0.8916015625, 0.341552734375, -0.859375, 0.497802734375, 0.29736328125, -0.1439208984375, -0.390869140625, -0.40185546875, -0.6875, -0.92578125, -0.1505126953125, 0.69384765625, -0.1031494140625, 0.171875, -1.3759765625, 0.47705078125, 0.227294921875, 0.1009521484375, 0.10443115234375, -0.021881103515625, 0.68603515625, 0.173095703125, 0.63525390625, -0.5283203125, -0.458740234375, -0.150390625, -0.74267578125, 0.188232421875, -0.58642578125, 0.043487548828125, -0.2008056640625, 0.25537109375, 0.00440216064453125, 0.49609375, -0.0806884765625, 0.25634765625, -0.10650634765625, 0.27734375, -0.537109375, -0.83056640625, 0.7626953125, 0.027740478515625, -0.5166015625, 0.86376953125, -0.1500244140625, -0.1922607421875, 0.24658203125, 0.65087890625, -0.46728515625, 0.30712890625, -0.1307373046875, 0.68359375, 0.1396484375, -0.470947265625, -0.1409912109375, -0.48876953125, 0.68115234375, -0.2239990234375, -1.1904296875, -0.479248046875, -1.248046875, 0.0526123046875, -0.033660888671875, -0.50244140625, 0.3662109375, 0.06756591796875, -0.060089111328125, -0.09259033203125, -0.51708984375, -0.70654296875, -0.0772705078125, -0.52294921875, -0.20849609375, 0.142822265625, 0.6064453125, 0.89111328125, 0.04718017578125, -0.69384765625, -0.141357421875, -0.00958251953125, 0.1702880859375, -0.4296875, -0.40380859375, -0.2041015625, -0.0943603515625, -0.302490234375, 0.2088623046875, -0.14404296875, 0.27099609375, 0.859375, -0.0031833648681640625, 0.65380859375, 0.164306640625, -0.59765625, 0.80810546875, 0.1116943359375, -1.2861328125, -0.499267578125, 0.260009765625, -0.303466796875, 0.5107421875, 0.56494140625, -1.1201171875, -0.5498046875, -0.9482421875, -0.03814697265625, -0.6767578125, 0.054046630859375, -0.8564453125, -0.352783203125, -0.6142578125, 0.7255859375, -0.260498046875, -0.84375, 0.10693359375, -0.82421875, -0.10308837890625, -0.41455078125, -0.4453125, -0.78515625, -0.517578125, -0.389892578125, 0.437744140625, 0.2091064453125, 0.2371826171875, -0.2427978515625, -0.39208984375, 0.376220703125, 0.09320068359375, -0.478759765625, -0.47412109375, 0.0916748046875, -0.11212158203125, -0.2587890625, 0.12152099609375, -0.60302734375, 0.81201171875, -0.61962890625, 0.2178955078125, -0.1846923828125, -0.48779296875, 0.038055419921875, -0.054962158203125, 0.99365234375, -0.55126953125, -0.1429443359375, -0.40966796875, 0.1895751953125, 0.509765625, -0.1434326171875, -0.57666015625, -0.5537109375, -0.5546875, -0.77294921875, 0.79541015625, -0.326416015625, 0.1090087890625, -0.59765625, -0.25830078125, 0.884765625, -0.353515625, 0.54345703125, 1.43359375, 0.21484375, 0.461669921875, -0.85107421875, 0.33203125, 0.414306640625, -0.50732421875, 0.062103271484375, 0.24755859375, -0.57470703125, 0.278076171875, -0.33740234375, -0.7255859375, -0.57080078125, -0.03997802734375, 1.0078125, -0.178955078125, 0.86669921875, -0.1947021484375, -0.92529296875, -0.5927734375, 0.68701171875, 0.0140533447265625, 0.286376953125, 0.88671875, -0.009185791015625, 0.093994140625, -0.224609375, 0.1591796875, -0.69287109375, -0.63232421875, 1.119140625, -0.1143798828125, -0.65576171875, 0.599609375, 1.0576171875, -1.0458984375, -0.669921875, 0.0204315185546875, -0.0902099609375, 0.10284423828125, -0.52783203125, -0.230712890625, 0.55322265625, -0.83984375, 0.200927734375, 0.28662109375, -0.178955078125, 0.113525390625, 0.07379150390625, 0.2127685546875, -0.5537109375, 0.7646484375, 0.86962890625, -0.055999755859375, -0.353271484375, -1, -0.2144775390625, -0.261962890625, 0.2181396484375, 0.7998046875, -0.380126953125, 0.018096923828125, 0.74267578125, -0.320556640625, 0.873046875, -0.3837890625, -0.2181396484375, 0.164306640625, -0.5185546875, -0.462890625, -0.11419677734375, 0.464599609375, -0.40087890625, 0.1871337890625, -0.2763671875, 0.09881591796875, 0.370361328125, 0.31298828125, -0.390380859375, -1.1796875, -0.2261962890625, -0.92724609375, -0.41796875, -0.75634765625, -0.5966796875, -0.156494140625, -0.09832763671875, -0.10406494140625, -0.212158203125, -0.342529296875, 0.4912109375, -0.94287109375, 0.85107421875, -0.92578125, -0.0439453125, -0.365478515625, -0.3330078125, -0.79345703125, -0.120361328125, -0.34326171875, -0.2724609375, -0.426025390625, 0.321044921875, -0.217041015625, 0.68701171875, 0.1708984375, 0.449462890625, -0.2822265625, -1, -0.295166015625, 0.09637451171875, -0.287353515625, 0.7294921875, 0.1590576171875, -0.18701171875, 0.177001953125, -0.10943603515625, -0.276123046875, -0.463134765625, 0.386474609375, 0.239501953125, 0.167236328125, -0.4306640625, -0.11773681640625, -0.0186767578125, -0.6953125, 0.193603515625, -0.08648681640625, 0.229248046875, 0.3193359375, -0.2021484375, 0.59716796875, 1.091796875, -0.2288818359375, 0.4189453125, 0.255859375, 0.133056640625, 0.291259765625, 0.39013671875, 0.360107421875, 0.477783203125, 0.179443359375, -0.2430419921875, 0.28515625, 0.437744140625, -0.13525390625, 0.3359375, -0.296875, -0.49072265625, -0.77978515625, -0.52490234375, -0.11993408203125, 0.37646484375, 0.052947998046875, -0.46826171875, -0.352783203125, 0.432861328125, -0.37353515625, 0.447021484375, -1.171875, -0.67626953125, 0.7998046875, -0.223388671875, -0.499267578125, -0.2476806640625, -0.39990234375, -0.146728515625, 0.200927734375, 0.417724609375, -0.80224609375, 0.50927734375, -0.203857421875, 0.5595703125, -0.250732421875, -0.0875244140625, -0.13720703125, 0.442138671875, -0.6357421875, -0.69384765625, 0.3798828125, 1.2119140625, 0.13037109375, -0.35595703125, -0.6982421875, 0.21484375, -0.10888671875, -0.07501220703125, -0.42333984375, 0.53857421875, -0.433349609375, 0.42333984375, -0.6083984375, 0.07647705078125, -0.1510009765625, 0.8154296875, 0.1834716796875, -0.59423828125, -0.4560546875, 0.337646484375, 0.32763671875, -0.1541748046875, 0.460205078125, 0.1912841796875, 0.61328125, -0.09527587890625, -0.0450439453125, -0.389892578125, 0.88623046875, 0.433837890625, 0.5341796875, -0.350341796875, 0.2744140625, 0.62841796875, -0.27978515625, -0.290771484375, 0.544921875, 0.0127410888671875, -0.007442474365234375, 0.137939453125, -0.341552734375, -0.0689697265625, -0.25732421875, -0.287109375, 0.308837890625, -0.44091796875, 0.0714111328125, -0.5283203125, -0.7138671875, 0.7919921875, 0.07464599609375, -0.42529296875, 0.2052001953125, -0.285888671875, 0.1378173828125, 1.087890625, -0.242919921875, -0.0838623046875, 0.8134765625, 0.791015625, 0.133544921875, 0.62060546875, 0.261474609375, 0.425537109375, -0.409912109375, 0.148193359375, -0.05126953125, 0.0161590576171875, -0.5302734375, -0.498046875, -0.84912109375, 0.409423828125, -0.343017578125, -0.2071533203125, 0.97314453125, -0.4990234375, 0.1280517578125, -0.37890625, 0.87109375, -0.43798828125, 0.063720703125, 0.279296875, -0.412109375, -0.95556640625, 0.83642578125, -0.252197265625, 0.2476806640625, 0.054779052734375, 0.9052734375, -0.05145263671875, 1.251953125, 0.5146484375, -0.056884765625, -0.1514892578125, 0.09063720703125, -0.08807373046875, -0.423095703125, -0.28564453125, -0.405029296875, 0.1053466796875, -0.669921875, -0.578125, -0.00855255126953125, 0.80517578125, -0.275390625, -1.248046875, 0.0694580078125, 0.332275390625, -0.77587890625, 0.216552734375, 0.5205078125, 0.1435546875, -0.447265625, -0.1331787109375, 0.018829345703125, -0.294921875, -0.0089263916015625, -0.61328125, 0.2313232421875, -0.45068359375, -0.81103515625, -0.73779296875, -0.93994140625, -0.2890625, -0.1279296875, -0.442138671875, -0.51025390625, 0.51513671875, 0.57177734375, 0.76123046875, 0.3642578125, -0.48828125, 0.6904296875, 0.89990234375, 1.1220703125, 0.06671142578125, 0.619140625, 0.37548828125, -0.1920166015625, 0.162109375, -0.2266845703125, 0.405517578125, -0.040283203125, -0.137451171875, -0.268310546875, 0.09063720703125, -0.873046875, -1.4404296875, 0.414306640625, 0.59619140625, 0.476318359375, -0.681640625, -1.244140625, -0.051971435546875, -1.134765625, -0.00923919677734375, -0.53857421875, 0.78466796875, -0.14501953125, -0.094482421875, -0.373046875, -1.1376953125, 4.4453125, 0.73974609375, 0.953125, 0.14013671875, 0.308837890625, 0.7294921875, 0.87646484375, -0.285400390625, -0.367431640625, -0.121337890625, 0.52587890625, -0.73876953125, 0.0548095703125, 0.61328125, 0.431640625, 0.39501953125, -0.677734375, 0.390869140625, -0.1556396484375, -1.09375, -0.9912109375, 0.23291015625, 0.00269317626953125, 0.79638671875, 0.1583251953125, -0.00989532470703125, 0.25439453125, -0.54833984375, -0.186767578125, -0.429931640625, 0.253173828125, -0.52099609375, 1.009765625, -0.01953125, -0.158447265625, 0.2154541015625, 0.296630859375, -0.63427734375, -0.253173828125, 0.037109375, 0.031219482421875, 0.12890625, 0.486572265625, -1.0498046875, -0.32421875, 0.49951171875, -0.546875, 0.53466796875, 0.1080322265625, -1.0732421875, 0.982421875, -0.462646484375, 0.6279296875, -0.6455078125, -0.59033203125, -0.2685546875, 0.031005859375, -0.2291259765625, -0.147216796875, 0.68896484375, 0.23779296875, 0.88623046875, 0.0063018798828125, 0.2408447265625, -1.025390625, 0.369384765625, -0.00762939453125, 0.368896484375, -0.5400390625, 0.05206298828125, -0.262939453125, -0.0797119140625, -0.003467559814453125, -0.290283203125, 0.330078125, 0.390380859375, -0.445556640625, 0.82177734375, 0.437744140625, -0.8203125, -0.07977294921875, -0.22119140625, -0.450927734375, -0.315673828125, 0.65234375, 1.33203125, -0.96337890625, -0.338623046875, -0.720703125, 1.1181640625, 0.4833984375, 0.513671875, -0.061798095703125, -0.359130859375, -0.412109375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Thanks to your help, Heidi is confident that no one can fool her. She has now decided to post some fake news on the HC2 Facebook page. However, she wants to be able to communicate to the HC2 committee that the post is fake, using some secret phrase hidden in the post as a subsequence. To make this method foolproof, she wants the phrase to appear n times in the post. She is asking you to design a post (string) s and a hidden phrase p such that p appears in s as a subsequence exactly n times. Input The first and only line of input contains a single integer n (1 ≤ n ≤ 1 000 000). Output The output should contain two nonempty strings s and p separated by a single space. Each string should be composed of letters (a-z and A-Z: both lowercase and uppercase are allowed) and have length at most 200. The number of occurrences of p in s as a subsequence should be exactly n. If there are many possible solutions, output any of them. It is guaranteed that at least one solution exists. Examples Input 2 Output hHheidi Hei Input 4 Output bbbba ba Input 6 Output aaabb ab Note An occurrence of p as a subsequence in s should be thought of as a set of positions in s such that the letters at these positions, in order, form p. The number of occurences is thus the number of such sets. For example, ab appears 6 times as a subsequence in aaabb, for the following sets of positions: {1, 4}, {1, 5}, {2, 4}, {2, 5}, {3, 4}, {3, 5} (that is, we should choose one of the a's and one of the b's). Tags: constructive algorithms, strings Correct Solution: ``` def solve(k): if k == 1: return ('a', 'a') if k == 2: return ('aa', 'a') s, p = solve((k-1) // 2) x = chr(ord(p[-1])+1) return (p+x*(2-k%2)+s[len(p):]+x*2, p+x) s, p = solve(int(input())) print(s, p) ```
5,533
[ 0.273681640625, 0.0985107421875, 0.49462890625, 0.50830078125, -0.29833984375, -0.61279296875, -0.1552734375, 0.11334228515625, 0.441162109375, 0.9013671875, 0.66357421875, -0.243408203125, 0.0399169921875, -0.4931640625, -0.5068359375, -0.005962371826171875, -0.396240234375, -0.66259765625, -0.2398681640625, -0.42138671875, 0.167724609375, -0.128173828125, -1.52734375, -0.38671875, -0.6953125, 0.98388671875, 0.303955078125, -0.12225341796875, 1.171875, 1.158203125, 0.011260986328125, -0.41015625, 0.498291015625, -1.072265625, -0.073486328125, -0.67431640625, 0.9462890625, -0.64990234375, -0.237548828125, -0.428466796875, 0.27099609375, -0.1156005859375, 0.490966796875, -0.467041015625, -1.1396484375, -0.342529296875, -0.319091796875, -0.155029296875, -0.234130859375, -0.288330078125, 0.6015625, -0.2108154296875, 0.552734375, -0.08050537109375, 0.119873046875, 0.053985595703125, -0.204345703125, -0.329345703125, -0.5830078125, 0.405029296875, 0.2220458984375, 0.263916015625, 0.0897216796875, -0.748046875, -0.208740234375, 0.2001953125, 0.13427734375, -0.1434326171875, -0.2340087890625, -0.841796875, -0.0772705078125, 0.072021484375, -0.498779296875, -0.189697265625, -0.49853515625, -0.0672607421875, -0.07574462890625, -0.01806640625, -0.5625, 0.78955078125, -0.23486328125, 0.939453125, 0.1776123046875, 0.326171875, -0.39306640625, -0.55419921875, 0.45751953125, 0.34130859375, 0.25, -0.1334228515625, -0.1380615234375, 0.412109375, -0.46923828125, -0.2509765625, 0.408935546875, 0.3974609375, -0.226318359375, 0.50830078125, 0.54541015625, 0.5126953125, 0.72216796875, 0.8046875, -0.62841796875, 1.12890625, -0.356689453125, -0.11065673828125, 0.5556640625, -0.03643798828125, -0.49658203125, -0.43798828125, -0.287109375, -0.418212890625, 0.43896484375, 0.0631103515625, -0.177734375, 0.7265625, 0.314453125, 0.499267578125, -0.875, 0.2435302734375, 0.27099609375, -0.1397705078125, 0.448974609375, -0.116943359375, 0.1175537109375, -0.396240234375, -0.256591796875, 1.328125, -0.76953125, 0.02227783203125, 0.489990234375, -0.2283935546875, 0.0122222900390625, 0.580078125, -0.22265625, 0.407470703125, -0.1318359375, 0.53564453125, 0.97900390625, -0.66552734375, 0.59521484375, -0.044830322265625, -0.0997314453125, 1.3916015625, 0.232421875, 0.6142578125, 0.99072265625, 0.2958984375, -0.66552734375, 0.21044921875, -0.87255859375, 0.5458984375, -0.00632476806640625, 0.433349609375, -0.54248046875, 0.237060546875, -0.04425048828125, 0.295654296875, -0.0743408203125, 0.252197265625, -0.00959014892578125, 0.548828125, -0.279052734375, 1.02734375, -0.59765625, 0.90625, -0.34716796875, -0.51904296875, -0.190673828125, -1.0263671875, 0.455322265625, -0.06524658203125, -0.37451171875, 0.59814453125, 0.347412109375, 0.8134765625, 0.8330078125, -0.440185546875, 0.281494140625, 0.1976318359375, -0.308349609375, 0.166259765625, 0.55517578125, 0.96533203125, 0.09149169921875, 0.06884765625, 0.04095458984375, -0.12060546875, -0.47216796875, -0.64404296875, 0.0699462890625, 0.87451171875, -0.66650390625, 0.329345703125, 0.509765625, 0.05926513671875, -1.3056640625, -0.435546875, 0.267333984375, -0.98388671875, -0.3486328125, 0.63525390625, -0.093505859375, 0.517578125, -0.50830078125, -0.521484375, 0.4208984375, 1.03515625, -0.62255859375, -0.0189361572265625, 0.1544189453125, 0.130126953125, -0.381591796875, 0.1297607421875, 0.294677734375, -0.357666015625, -0.83544921875, 0.64306640625, -0.160888671875, 0.01702880859375, -0.0318603515625, 0.65576171875, 0.72900390625, 0.47802734375, -0.08831787109375, -0.24658203125, 0.46240234375, 1.0791015625, 0.004245758056640625, 0.68115234375, 0.317138671875, 0.57763671875, 0.1607666015625, 0.65869140625, 0.343017578125, 0.0231170654296875, 0.2705078125, 0.87109375, 0.448486328125, 0.390380859375, 0.1436767578125, 0.1395263671875, 0.6904296875, 0.54296875, 0.06787109375, 0.48388671875, -0.1650390625, 0.033905029296875, -0.463134765625, 0.2080078125, -0.340087890625, 0.7490234375, 0.3486328125, 0.62451171875, -0.529296875, -0.427978515625, 0.212890625, 1.1787109375, -0.8798828125, -0.38525390625, -0.1630859375, 0.450927734375, 0.167724609375, 0.0760498046875, 0.16162109375, 0.411865234375, 0.4287109375, 0.5830078125, -0.46826171875, -0.305419921875, -0.8740234375, -0.88818359375, -1.1044921875, -0.491943359375, -0.41748046875, -0.007137298583984375, 0.296875, -0.63818359375, 0.203857421875, -0.2479248046875, -0.1434326171875, 0.53466796875, -0.361572265625, 0.5029296875, -0.0247039794921875, 0.47265625, -0.8154296875, 0.6328125, 0.490234375, 0.904296875, -0.7783203125, -0.0189361572265625, 0.12255859375, -0.55322265625, 0.090087890625, -0.28466796875, 0.0181732177734375, -0.2086181640625, -0.5341796875, -0.498291015625, -0.1923828125, 0.0753173828125, -0.0142974853515625, -0.04486083984375, -0.9033203125, 0.79931640625, 0.3408203125, -0.76416015625, 0.736328125, 0.99609375, -0.63623046875, 0.65966796875, 0.439453125, 0.07086181640625, -0.80224609375, 1.5302734375, 0.56494140625, 0.53076171875, -0.4658203125, -0.1749267578125, -0.7861328125, -0.1802978515625, 0.10455322265625, -0.8203125, -0.560546875, 0.404296875, 0.195068359375, -1.1064453125, 0.315673828125, -1.3203125, -0.62939453125, -0.1259765625, -0.2724609375, 0.95703125, 1.0986328125, 0.07891845703125, -0.173095703125, 0.01666259765625, -0.1087646484375, 1.0166015625, 0.356689453125, -0.4326171875, 0.11376953125, 0.83447265625, -0.0003027915954589844, 0.330810546875, 0.439453125, -0.57666015625, -0.10601806640625, -0.1602783203125, 0.348876953125, 0.60107421875, 0.397216796875, 0.2193603515625, 0.166748046875, 0.98291015625, -0.72265625, -0.380126953125, 0.1759033203125, 0.488525390625, 0.4482421875, 0.615234375, 0.51123046875, -0.344970703125, -0.7607421875, -1, 0.33544921875, 0.030242919921875, 0.7041015625, -0.685546875, 0.58251953125, 0.331298828125, -0.64404296875, 0.78857421875, -0.79345703125, -0.625, 0.72119140625, 0.05828857421875, 0.4404296875, -0.580078125, 0.3662109375, -0.276123046875, 0.49560546875, 0.77685546875, 0.236083984375, 0.51318359375, -0.453369140625, -0.55078125, -0.462646484375, 0.423828125, -0.326904296875, -0.94970703125, 0.468994140625, -0.316162109375, -0.25244140625, -0.79736328125, 0.40283203125, 0.685546875, 0.9013671875, -0.0865478515625, 0.89599609375, 0.185546875, 0.81396484375, 0.61767578125, -0.298583984375, 0.0965576171875, -0.94482421875, 0.75244140625, 0.254638671875, 0.09735107421875, -0.359619140625, 0.06719970703125, -0.11407470703125, 0.058013916015625, 0.054168701171875, -0.38623046875, -0.83447265625, -0.17138671875, -0.27880859375, 0.431640625, -0.273681640625, -0.3798828125, -0.207763671875, 0.61865234375, 0.279296875, -0.94775390625, 0.3056640625, -0.8701171875, 0.49658203125, 0.3232421875, -0.136962890625, -0.3681640625, -0.440185546875, -0.66259765625, -0.8232421875, -0.1729736328125, 0.6689453125, -0.11993408203125, 0.1929931640625, -1.43359375, 0.451416015625, 0.2498779296875, 0.10638427734375, 0.08660888671875, 0.0223236083984375, 0.6943359375, 0.190673828125, 0.63232421875, -0.4775390625, -0.434326171875, -0.1429443359375, -0.7216796875, 0.1510009765625, -0.5830078125, 0.047607421875, -0.220703125, 0.28271484375, 0.030181884765625, 0.49853515625, -0.060455322265625, 0.2239990234375, -0.10650634765625, 0.2666015625, -0.5478515625, -0.81640625, 0.77001953125, 0.0287017822265625, -0.47021484375, 0.84619140625, -0.1812744140625, -0.231201171875, 0.1903076171875, 0.64111328125, -0.446533203125, 0.31298828125, -0.126220703125, 0.66845703125, 0.1617431640625, -0.492919921875, -0.08929443359375, -0.53125, 0.6435546875, -0.278076171875, -1.162109375, -0.45947265625, -1.2431640625, 0.0833740234375, -0.0276641845703125, -0.51123046875, 0.389404296875, 0.11810302734375, -0.06304931640625, -0.1512451171875, -0.472900390625, -0.75927734375, -0.139892578125, -0.51220703125, -0.2109375, 0.1490478515625, 0.623046875, 0.8642578125, 0.06451416015625, -0.7177734375, -0.1490478515625, -0.045074462890625, 0.1905517578125, -0.4697265625, -0.365234375, -0.200439453125, -0.081298828125, -0.287109375, 0.1959228515625, -0.086181640625, 0.28955078125, 0.86181640625, 0.015838623046875, 0.63427734375, 0.166259765625, -0.58203125, 0.87841796875, 0.12353515625, -1.291015625, -0.51123046875, 0.243896484375, -0.263671875, 0.53271484375, 0.5458984375, -1.09765625, -0.51416015625, -0.9365234375, -0.061737060546875, -0.71337890625, 0.00965118408203125, -0.83203125, -0.383544921875, -0.61376953125, 0.7216796875, -0.2198486328125, -0.8154296875, 0.0927734375, -0.87744140625, -0.1009521484375, -0.416259765625, -0.44677734375, -0.80908203125, -0.489013671875, -0.338623046875, 0.51220703125, 0.218994140625, 0.2105712890625, -0.181396484375, -0.37158203125, 0.367919921875, 0.1236572265625, -0.484130859375, -0.46142578125, 0.09161376953125, -0.1527099609375, -0.267578125, 0.1282958984375, -0.59619140625, 0.8037109375, -0.671875, 0.194580078125, -0.1966552734375, -0.51220703125, 0.0271759033203125, -0.058746337890625, 1.052734375, -0.5009765625, -0.09210205078125, -0.457763671875, 0.124755859375, 0.58447265625, -0.1597900390625, -0.58642578125, -0.5908203125, -0.5810546875, -0.8251953125, 0.8544921875, -0.35400390625, 0.0780029296875, -0.630859375, -0.2578125, 0.85107421875, -0.3818359375, 0.58349609375, 1.4541015625, 0.2423095703125, 0.453369140625, -0.783203125, 0.291259765625, 0.358154296875, -0.489990234375, 0.0926513671875, 0.20703125, -0.5146484375, 0.287109375, -0.3447265625, -0.7158203125, -0.5615234375, -0.015625, 0.99462890625, -0.238525390625, 0.873046875, -0.271484375, -0.96044921875, -0.63232421875, 0.6611328125, -0.007541656494140625, 0.251953125, 0.8369140625, 0.00417327880859375, 0.10321044921875, -0.279296875, 0.1990966796875, -0.6875, -0.6591796875, 1.1259765625, -0.1417236328125, -0.677734375, 0.59619140625, 1.078125, -1.04296875, -0.70703125, 0.0635986328125, -0.056976318359375, 0.11236572265625, -0.56640625, -0.17529296875, 0.58984375, -0.87744140625, 0.245361328125, 0.2783203125, -0.1917724609375, 0.13525390625, 0.114013671875, 0.286865234375, -0.57763671875, 0.75634765625, 0.9111328125, -0.0928955078125, -0.3671875, -1.0205078125, -0.2337646484375, -0.2481689453125, 0.158447265625, 0.79833984375, -0.42138671875, 0.020782470703125, 0.78369140625, -0.310791015625, 0.908203125, -0.4072265625, -0.2313232421875, 0.1727294921875, -0.58203125, -0.46923828125, -0.147216796875, 0.4521484375, -0.392822265625, 0.203369140625, -0.24951171875, 0.1639404296875, 0.35498046875, 0.36328125, -0.390869140625, -1.1474609375, -0.2471923828125, -0.94970703125, -0.44677734375, -0.77197265625, -0.560546875, -0.143310546875, -0.07440185546875, -0.0928955078125, -0.140625, -0.341064453125, 0.50341796875, -0.97802734375, 0.853515625, -0.88037109375, -0.08074951171875, -0.42431640625, -0.34423828125, -0.7333984375, -0.16064453125, -0.3076171875, -0.26513671875, -0.468505859375, 0.34716796875, -0.195068359375, 0.6787109375, 0.1695556640625, 0.4853515625, -0.307373046875, -1.0009765625, -0.280029296875, 0.130615234375, -0.3759765625, 0.72998046875, 0.126220703125, -0.1939697265625, 0.0992431640625, -0.11773681640625, -0.25537109375, -0.457763671875, 0.40283203125, 0.2091064453125, 0.1661376953125, -0.427734375, -0.09307861328125, -0.052459716796875, -0.68896484375, 0.1826171875, -0.0875244140625, 0.241943359375, 0.34765625, -0.211181640625, 0.51416015625, 1.0751953125, -0.272216796875, 0.439208984375, 0.298828125, 0.130615234375, 0.2481689453125, 0.367919921875, 0.341064453125, 0.489990234375, 0.182373046875, -0.2108154296875, 0.27734375, 0.4462890625, -0.1435546875, 0.3017578125, -0.2435302734375, -0.52685546875, -0.7607421875, -0.58203125, -0.11676025390625, 0.390625, 0.092529296875, -0.493408203125, -0.375732421875, 0.472412109375, -0.4384765625, 0.4345703125, -1.1650390625, -0.63525390625, 0.77490234375, -0.2054443359375, -0.440673828125, -0.2489013671875, -0.41259765625, -0.1480712890625, 0.21337890625, 0.449462890625, -0.82421875, 0.5361328125, -0.204833984375, 0.482177734375, -0.2685546875, -0.110107421875, -0.111572265625, 0.43408203125, -0.59130859375, -0.62646484375, 0.35546875, 1.2236328125, 0.1376953125, -0.303955078125, -0.689453125, 0.248291015625, -0.08319091796875, -0.07904052734375, -0.42041015625, 0.56103515625, -0.437255859375, 0.448974609375, -0.5849609375, 0.096923828125, -0.1168212890625, 0.8251953125, 0.1556396484375, -0.55859375, -0.48193359375, 0.34521484375, 0.3232421875, -0.1199951171875, 0.469970703125, 0.1556396484375, 0.5703125, -0.07672119140625, 0.0166015625, -0.351806640625, 0.884765625, 0.43896484375, 0.51220703125, -0.407958984375, 0.273193359375, 0.7138671875, -0.2498779296875, -0.267578125, 0.54150390625, 0.00351715087890625, 0.058685302734375, 0.0814208984375, -0.325927734375, -0.07568359375, -0.251220703125, -0.238037109375, 0.328857421875, -0.467041015625, 0.03546142578125, -0.494140625, -0.72509765625, 0.818359375, 0.0684814453125, -0.40966796875, 0.1385498046875, -0.292724609375, 0.1502685546875, 1.048828125, -0.27197265625, -0.07928466796875, 0.8251953125, 0.76611328125, 0.156005859375, 0.62890625, 0.2030029296875, 0.427978515625, -0.3984375, 0.122314453125, -0.04669189453125, 0.045501708984375, -0.49560546875, -0.467041015625, -0.85498046875, 0.44384765625, -0.35498046875, -0.1923828125, 0.947265625, -0.55322265625, 0.04730224609375, -0.427001953125, 0.87060546875, -0.456298828125, 0.07489013671875, 0.271728515625, -0.480712890625, -0.9423828125, 0.84716796875, -0.2529296875, 0.254638671875, 0.128173828125, 0.87890625, -0.051544189453125, 1.24609375, 0.52001953125, -0.031494140625, -0.1591796875, 0.08380126953125, -0.1695556640625, -0.375, -0.2724609375, -0.42626953125, 0.08734130859375, -0.71337890625, -0.59423828125, -0.0086517333984375, 0.7998046875, -0.30078125, -1.244140625, 0.06475830078125, 0.37109375, -0.74951171875, 0.1552734375, 0.5302734375, 0.13037109375, -0.416748046875, -0.113525390625, 0.0364990234375, -0.27880859375, 0.01114654541015625, -0.62109375, 0.2120361328125, -0.4443359375, -0.76708984375, -0.7255859375, -0.87060546875, -0.304443359375, -0.170654296875, -0.45068359375, -0.5205078125, 0.50341796875, 0.5166015625, 0.751953125, 0.375244140625, -0.450439453125, 0.68896484375, 0.96826171875, 1.169921875, 0.03369140625, 0.63232421875, 0.369140625, -0.1851806640625, 0.1556396484375, -0.2069091796875, 0.39111328125, -0.0119171142578125, -0.07464599609375, -0.2381591796875, 0.0692138671875, -0.86865234375, -1.40625, 0.422119140625, 0.54248046875, 0.53466796875, -0.728515625, -1.251953125, -0.07269287109375, -1.146484375, 0.019683837890625, -0.50244140625, 0.794921875, -0.11651611328125, -0.10809326171875, -0.345703125, -1.115234375, 4.4453125, 0.77587890625, 0.92724609375, 0.2017822265625, 0.312255859375, 0.6630859375, 0.908203125, -0.33642578125, -0.35498046875, -0.14111328125, 0.43798828125, -0.72705078125, 0.10955810546875, 0.5361328125, 0.40966796875, 0.369873046875, -0.6494140625, 0.470458984375, -0.1529541015625, -1.103515625, -1.0341796875, 0.260009765625, -0.0322265625, 0.728515625, 0.22802734375, -0.0163421630859375, 0.230712890625, -0.6015625, -0.1837158203125, -0.447998046875, 0.2132568359375, -0.5166015625, 1.0068359375, -0.03729248046875, -0.1387939453125, 0.26416015625, 0.319091796875, -0.654296875, -0.2353515625, -0.0231170654296875, 0.05853271484375, 0.171630859375, 0.54150390625, -1.02734375, -0.321533203125, 0.48583984375, -0.5302734375, 0.5107421875, 0.07135009765625, -1.1005859375, 1.0390625, -0.42138671875, 0.62060546875, -0.578125, -0.57763671875, -0.32275390625, 0.0029201507568359375, -0.1759033203125, -0.09149169921875, 0.68505859375, 0.246337890625, 0.8740234375, 0.01218414306640625, 0.2392578125, -1.0673828125, 0.330078125, -0.01079559326171875, 0.358154296875, -0.59765625, 0.028594970703125, -0.262939453125, -0.0909423828125, 0.0203704833984375, -0.326904296875, 0.4052734375, 0.357666015625, -0.5029296875, 0.826171875, 0.42822265625, -0.84033203125, -0.01947021484375, -0.259765625, -0.432861328125, -0.303955078125, 0.6357421875, 1.3056640625, -0.958984375, -0.302978515625, -0.70263671875, 1.099609375, 0.47119140625, 0.54150390625, -0.038330078125, -0.386474609375, -0.3662109375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Thanks to your help, Heidi is confident that no one can fool her. She has now decided to post some fake news on the HC2 Facebook page. However, she wants to be able to communicate to the HC2 committee that the post is fake, using some secret phrase hidden in the post as a subsequence. To make this method foolproof, she wants the phrase to appear n times in the post. She is asking you to design a post (string) s and a hidden phrase p such that p appears in s as a subsequence exactly n times. Input The first and only line of input contains a single integer n (1 ≤ n ≤ 1 000 000). Output The output should contain two nonempty strings s and p separated by a single space. Each string should be composed of letters (a-z and A-Z: both lowercase and uppercase are allowed) and have length at most 200. The number of occurrences of p in s as a subsequence should be exactly n. If there are many possible solutions, output any of them. It is guaranteed that at least one solution exists. Examples Input 2 Output hHheidi Hei Input 4 Output bbbba ba Input 6 Output aaabb ab Note An occurrence of p as a subsequence in s should be thought of as a set of positions in s such that the letters at these positions, in order, form p. The number of occurences is thus the number of such sets. For example, ab appears 6 times as a subsequence in aaabb, for the following sets of positions: {1, 4}, {1, 5}, {2, 4}, {2, 5}, {3, 4}, {3, 5} (that is, we should choose one of the a's and one of the b's). Tags: constructive algorithms, strings Correct Solution: ``` import string alphabet = list(string.ascii_lowercase + string.ascii_uppercase) def calc(n): if n == 1: return '', 'a' if n == 2: return 'a', 'a' if n % 2 == 1: u, p = calc(n//2) x = alphabet.pop() return u+x+x, p+x else: u, p = calc(n//2-1) x = alphabet.pop() return x+u+x+x, p+x n = int(input()) u, p = calc(n) print(p+u+' '+p) ```
5,534
[ 0.274169921875, 0.13330078125, 0.505859375, 0.499267578125, -0.275390625, -0.59130859375, -0.13232421875, 0.045318603515625, 0.427734375, 0.89501953125, 0.60791015625, -0.261474609375, 0.0161895751953125, -0.525390625, -0.54443359375, 0.00066375732421875, -0.43115234375, -0.67138671875, -0.218505859375, -0.412353515625, 0.1431884765625, -0.1363525390625, -1.517578125, -0.43017578125, -0.701171875, 1, 0.307373046875, -0.09857177734375, 1.1953125, 1.15625, 0.0330810546875, -0.43603515625, 0.52294921875, -1.087890625, -0.052581787109375, -0.7021484375, 0.95166015625, -0.662109375, -0.2548828125, -0.41064453125, 0.2626953125, -0.1510009765625, 0.50537109375, -0.4619140625, -1.224609375, -0.32958984375, -0.302734375, -0.1383056640625, -0.2408447265625, -0.233642578125, 0.5791015625, -0.2261962890625, 0.54736328125, -0.056427001953125, 0.05926513671875, -0.023681640625, -0.210205078125, -0.340087890625, -0.57568359375, 0.41796875, 0.1617431640625, 0.264892578125, 0.11541748046875, -0.76953125, -0.2122802734375, 0.2154541015625, 0.1524658203125, -0.10986328125, -0.279541015625, -0.8369140625, -0.0931396484375, 0.10162353515625, -0.52490234375, -0.22802734375, -0.52099609375, -0.11676025390625, -0.1484375, -0.0523681640625, -0.53173828125, 0.8798828125, -0.249267578125, 0.919921875, 0.2435302734375, 0.362060546875, -0.377685546875, -0.5439453125, 0.42333984375, 0.249267578125, 0.1966552734375, -0.10546875, -0.1568603515625, 0.406982421875, -0.49951171875, -0.28369140625, 0.3857421875, 0.377197265625, -0.208740234375, 0.478271484375, 0.5439453125, 0.52685546875, 0.716796875, 0.76416015625, -0.6142578125, 1.11328125, -0.303466796875, -0.07940673828125, 0.57275390625, -0.0084381103515625, -0.49365234375, -0.448486328125, -0.275634765625, -0.422119140625, 0.4423828125, 0.0309906005859375, -0.1549072265625, 0.783203125, 0.291259765625, 0.51171875, -0.8583984375, 0.226806640625, 0.245849609375, -0.12109375, 0.4609375, -0.10406494140625, 0.1337890625, -0.37451171875, -0.1943359375, 1.326171875, -0.7216796875, 0.035491943359375, 0.48779296875, -0.1768798828125, -0.004383087158203125, 0.580078125, -0.256103515625, 0.430908203125, -0.10174560546875, 0.5537109375, 0.90380859375, -0.70849609375, 0.5771484375, -0.06298828125, -0.1114501953125, 1.4091796875, 0.2236328125, 0.5849609375, 0.96435546875, 0.31787109375, -0.6513671875, 0.1834716796875, -0.8896484375, 0.544921875, 0.0343017578125, 0.416259765625, -0.51904296875, 0.256591796875, -0.049591064453125, 0.373291015625, -0.043609619140625, 0.29541015625, -0.01715087890625, 0.55859375, -0.3359375, 1.00390625, -0.60400390625, 0.96728515625, -0.38818359375, -0.54296875, -0.1181640625, -0.96923828125, 0.428466796875, -0.0457763671875, -0.357666015625, 0.54150390625, 0.357177734375, 0.8212890625, 0.79296875, -0.4345703125, 0.328369140625, 0.1883544921875, -0.320068359375, 0.201416015625, 0.5146484375, 0.87060546875, 0.10137939453125, 0.059722900390625, 0.06036376953125, -0.1419677734375, -0.476806640625, -0.689453125, 0.096923828125, 0.892578125, -0.6318359375, 0.290283203125, 0.47900390625, 0.0784912109375, -1.375, -0.41162109375, 0.189208984375, -1.009765625, -0.311279296875, 0.62939453125, -0.01947021484375, 0.51123046875, -0.489501953125, -0.52880859375, 0.460205078125, 1.03515625, -0.6259765625, -0.00473785400390625, 0.164794921875, 0.11932373046875, -0.382080078125, 0.2274169921875, 0.308349609375, -0.34326171875, -0.89404296875, 0.6533203125, -0.2281494140625, 0.0831298828125, -0.03765869140625, 0.62353515625, 0.78369140625, 0.447509765625, -0.07293701171875, -0.2039794921875, 0.4794921875, 1.0166015625, 0.04901123046875, 0.5771484375, 0.297607421875, 0.56298828125, 0.139404296875, 0.62939453125, 0.349609375, -0.00815582275390625, 0.2430419921875, 0.93017578125, 0.4384765625, 0.35107421875, 0.06878662109375, 0.1512451171875, 0.7158203125, 0.5302734375, 0.0234832763671875, 0.416015625, -0.1796875, 0.00383758544921875, -0.445556640625, 0.238037109375, -0.327880859375, 0.76953125, 0.330322265625, 0.6298828125, -0.51708984375, -0.51953125, 0.20947265625, 1.2119140625, -0.9736328125, -0.368896484375, -0.1435546875, 0.411865234375, 0.1405029296875, 0.0576171875, 0.1802978515625, 0.4189453125, 0.445556640625, 0.5693359375, -0.513671875, -0.296630859375, -0.8759765625, -0.85791015625, -1.0458984375, -0.408447265625, -0.450439453125, 0.01171875, 0.322509765625, -0.7001953125, 0.270751953125, -0.2294921875, -0.139892578125, 0.51220703125, -0.335693359375, 0.469970703125, -0.047637939453125, 0.455078125, -0.759765625, 0.66064453125, 0.492919921875, 0.90576171875, -0.7548828125, 0.007221221923828125, 0.052154541015625, -0.5068359375, 0.1346435546875, -0.27392578125, 0.04534912109375, -0.192626953125, -0.495849609375, -0.487548828125, -0.1976318359375, 0.0697021484375, -0.08636474609375, -0.04931640625, -0.8603515625, 0.77880859375, 0.365234375, -0.7568359375, 0.78271484375, 0.99658203125, -0.68798828125, 0.580078125, 0.419677734375, 0.062103271484375, -0.81494140625, 1.5634765625, 0.5380859375, 0.5810546875, -0.455078125, -0.1822509765625, -0.77294921875, -0.1375732421875, 0.07379150390625, -0.83056640625, -0.48828125, 0.411865234375, 0.1923828125, -1.1357421875, 0.319580078125, -1.330078125, -0.5029296875, -0.2056884765625, -0.259033203125, 0.9423828125, 1.0654296875, 0.0615234375, -0.1688232421875, 0.03271484375, -0.12103271484375, 1.0517578125, 0.30126953125, -0.406005859375, 0.06988525390625, 0.83056640625, -0.03814697265625, 0.337890625, 0.379150390625, -0.568359375, -0.0941162109375, -0.1614990234375, 0.31494140625, 0.59423828125, 0.39208984375, 0.233154296875, 0.218505859375, 1.0087890625, -0.6875, -0.34033203125, 0.1475830078125, 0.51123046875, 0.451416015625, 0.62939453125, 0.5751953125, -0.301025390625, -0.7275390625, -1.0126953125, 0.344970703125, 0.05914306640625, 0.70751953125, -0.7451171875, 0.55322265625, 0.32275390625, -0.64404296875, 0.80126953125, -0.8505859375, -0.59619140625, 0.80126953125, -0.047515869140625, 0.45654296875, -0.51513671875, 0.4140625, -0.2666015625, 0.46533203125, 0.75732421875, 0.250732421875, 0.478515625, -0.43212890625, -0.486328125, -0.447998046875, 0.404296875, -0.377197265625, -0.92041015625, 0.490234375, -0.285888671875, -0.28857421875, -0.77587890625, 0.366455078125, 0.705078125, 0.9208984375, -0.087646484375, 0.8154296875, 0.23681640625, 0.748046875, 0.6025390625, -0.32861328125, 0.135009765625, -0.90576171875, 0.79931640625, 0.215576171875, 0.07012939453125, -0.369873046875, 0.04931640625, -0.1759033203125, 0.06646728515625, 0.0240936279296875, -0.315673828125, -0.8515625, -0.15087890625, -0.302001953125, 0.418701171875, -0.3046875, -0.322021484375, -0.249755859375, 0.6083984375, 0.2469482421875, -0.90869140625, 0.280029296875, -0.83740234375, 0.498046875, 0.28515625, -0.135986328125, -0.405517578125, -0.39208984375, -0.68212890625, -0.818359375, -0.1925048828125, 0.6875, -0.12744140625, 0.2122802734375, -1.3798828125, 0.52783203125, 0.23974609375, 0.08331298828125, 0.08282470703125, -0.0290679931640625, 0.6552734375, 0.2322998046875, 0.6162109375, -0.54736328125, -0.436279296875, -0.152099609375, -0.77294921875, 0.2032470703125, -0.62353515625, 0.07672119140625, -0.2344970703125, 0.27294921875, 0.06488037109375, 0.4677734375, -0.09613037109375, 0.22412109375, -0.12115478515625, 0.34130859375, -0.62060546875, -0.8525390625, 0.7490234375, -0.010467529296875, -0.52392578125, 0.84228515625, -0.1561279296875, -0.2210693359375, 0.16162109375, 0.5078125, -0.434814453125, 0.298095703125, -0.1326904296875, 0.6875, 0.1546630859375, -0.4921875, -0.131591796875, -0.5234375, 0.68359375, -0.213134765625, -1.169921875, -0.395263671875, -1.23046875, 0.0947265625, -0.0501708984375, -0.51708984375, 0.404052734375, 0.1317138671875, -0.0572509765625, -0.122802734375, -0.47412109375, -0.7275390625, -0.1341552734375, -0.5283203125, -0.2159423828125, 0.1788330078125, 0.576171875, 0.9072265625, 0.076904296875, -0.7158203125, -0.1904296875, -0.0170440673828125, 0.1953125, -0.443115234375, -0.3876953125, -0.25341796875, -0.08746337890625, -0.29541015625, 0.231201171875, -0.050628662109375, 0.29296875, 0.88623046875, 0.060516357421875, 0.70556640625, 0.1815185546875, -0.59814453125, 0.865234375, 0.131103515625, -1.279296875, -0.489990234375, 0.27001953125, -0.25439453125, 0.52099609375, 0.5634765625, -1.1259765625, -0.5537109375, -0.98095703125, -0.0010557174682617188, -0.6552734375, 0.01160430908203125, -0.865234375, -0.36376953125, -0.64306640625, 0.736328125, -0.313232421875, -0.8251953125, 0.133056640625, -0.818359375, -0.07025146484375, -0.365478515625, -0.478271484375, -0.7578125, -0.4697265625, -0.328369140625, 0.5224609375, 0.25341796875, 0.2403564453125, -0.176025390625, -0.367919921875, 0.326416015625, 0.045989990234375, -0.5302734375, -0.431396484375, 0.053070068359375, -0.037078857421875, -0.314453125, 0.146484375, -0.578125, 0.79052734375, -0.58154296875, 0.1697998046875, -0.140869140625, -0.49755859375, 0.0226898193359375, -0.037628173828125, 1.076171875, -0.541015625, -0.1300048828125, -0.418212890625, 0.21044921875, 0.513671875, -0.1082763671875, -0.55859375, -0.5595703125, -0.5830078125, -0.791015625, 0.8349609375, -0.3681640625, 0.09375, -0.62158203125, -0.1917724609375, 0.9130859375, -0.458740234375, 0.611328125, 1.453125, 0.2239990234375, 0.453125, -0.77099609375, 0.2890625, 0.321533203125, -0.478759765625, 0.0975341796875, 0.2325439453125, -0.5654296875, 0.26220703125, -0.3583984375, -0.76318359375, -0.57421875, 0.03826904296875, 1.0712890625, -0.2081298828125, 0.84228515625, -0.2164306640625, -0.9443359375, -0.60546875, 0.66650390625, 0.0233612060546875, 0.2509765625, 0.9267578125, -0.0098419189453125, 0.1212158203125, -0.2379150390625, 0.16064453125, -0.6865234375, -0.58740234375, 1.1103515625, -0.1463623046875, -0.61181640625, 0.55859375, 1.0283203125, -1.0537109375, -0.67138671875, 0.01232147216796875, -0.054779052734375, 0.048675537109375, -0.56884765625, -0.189697265625, 0.5712890625, -0.8203125, 0.181884765625, 0.24658203125, -0.1990966796875, 0.173828125, 0.0880126953125, 0.2244873046875, -0.57275390625, 0.74072265625, 0.8671875, -0.1370849609375, -0.3525390625, -1.05859375, -0.21826171875, -0.263671875, 0.1712646484375, 0.79296875, -0.41845703125, 0.0269927978515625, 0.7548828125, -0.322509765625, 0.8916015625, -0.378173828125, -0.1881103515625, 0.136474609375, -0.568359375, -0.468017578125, -0.09954833984375, 0.420654296875, -0.412841796875, 0.19970703125, -0.273681640625, 0.146484375, 0.31201171875, 0.3291015625, -0.384765625, -1.1240234375, -0.1942138671875, -0.9423828125, -0.40869140625, -0.7294921875, -0.61962890625, -0.1485595703125, -0.05322265625, -0.08050537109375, -0.1649169921875, -0.322021484375, 0.50927734375, -0.95263671875, 0.82861328125, -0.8486328125, -0.04681396484375, -0.38818359375, -0.290283203125, -0.748046875, -0.11444091796875, -0.3310546875, -0.320556640625, -0.4609375, 0.318603515625, -0.22509765625, 0.68310546875, 0.159423828125, 0.56103515625, -0.2724609375, -0.99609375, -0.282470703125, 0.11419677734375, -0.30224609375, 0.74169921875, 0.129150390625, -0.167724609375, 0.14892578125, -0.1510009765625, -0.294677734375, -0.447265625, 0.4130859375, 0.28173828125, 0.101806640625, -0.380859375, -0.0797119140625, 0.01255035400390625, -0.60888671875, 0.1123046875, -0.06622314453125, 0.233642578125, 0.33447265625, -0.2459716796875, 0.435546875, 1.1103515625, -0.310791015625, 0.386962890625, 0.2802734375, 0.06427001953125, 0.3125, 0.404052734375, 0.378662109375, 0.52734375, 0.210205078125, -0.1781005859375, 0.27978515625, 0.396728515625, -0.08612060546875, 0.326416015625, -0.341552734375, -0.47314453125, -0.76708984375, -0.54931640625, -0.06951904296875, 0.3173828125, 0.056396484375, -0.541015625, -0.412353515625, 0.441650390625, -0.3876953125, 0.43115234375, -1.1572265625, -0.7001953125, 0.763671875, -0.2142333984375, -0.47705078125, -0.306396484375, -0.4091796875, -0.1805419921875, 0.1917724609375, 0.406005859375, -0.798828125, 0.5283203125, -0.1234130859375, 0.492431640625, -0.252197265625, -0.1051025390625, -0.0853271484375, 0.429443359375, -0.5576171875, -0.63134765625, 0.36572265625, 1.22265625, 0.11993408203125, -0.343994140625, -0.71240234375, 0.223876953125, -0.1468505859375, -0.0811767578125, -0.43115234375, 0.476318359375, -0.43212890625, 0.484619140625, -0.63232421875, 0.0875244140625, -0.06146240234375, 0.75048828125, 0.2236328125, -0.583984375, -0.441162109375, 0.401123046875, 0.38525390625, -0.09814453125, 0.425048828125, 0.126953125, 0.5888671875, -0.059783935546875, -0.0157012939453125, -0.36474609375, 0.8359375, 0.47705078125, 0.56298828125, -0.38037109375, 0.302490234375, 0.68017578125, -0.298828125, -0.2359619140625, 0.54248046875, 0.0157012939453125, 0.032867431640625, 0.111572265625, -0.315673828125, -0.1043701171875, -0.2489013671875, -0.309814453125, 0.29833984375, -0.45849609375, 0.0312042236328125, -0.51025390625, -0.71044921875, 0.798828125, 0.032928466796875, -0.408935546875, 0.1588134765625, -0.33349609375, 0.171142578125, 1.1083984375, -0.23974609375, -0.08978271484375, 0.8271484375, 0.78564453125, 0.1435546875, 0.59228515625, 0.203125, 0.41796875, -0.39697265625, 0.1083984375, -0.084228515625, 0.033966064453125, -0.490966796875, -0.412353515625, -0.88818359375, 0.4482421875, -0.307861328125, -0.136474609375, 0.95703125, -0.54052734375, 0.08258056640625, -0.408203125, 0.9091796875, -0.463134765625, 0.0928955078125, 0.264404296875, -0.445068359375, -0.896484375, 0.865234375, -0.31005859375, 0.230224609375, 0.1319580078125, 0.8974609375, -0.084716796875, 1.2294921875, 0.474853515625, -0.04779052734375, -0.126708984375, 0.09735107421875, -0.18115234375, -0.44775390625, -0.27587890625, -0.412109375, 0.1649169921875, -0.6865234375, -0.6181640625, 0.032501220703125, 0.84912109375, -0.265869140625, -1.2255859375, 0.0703125, 0.283447265625, -0.8125, 0.2188720703125, 0.52587890625, 0.133544921875, -0.427734375, -0.133544921875, 0.101806640625, -0.282470703125, -0.06683349609375, -0.6181640625, 0.2347412109375, -0.51220703125, -0.75732421875, -0.71630859375, -0.93505859375, -0.319580078125, -0.187255859375, -0.3740234375, -0.5029296875, 0.476318359375, 0.53662109375, 0.72265625, 0.390869140625, -0.48388671875, 0.7197265625, 0.93896484375, 1.1591796875, 0.00556182861328125, 0.5615234375, 0.342529296875, -0.2384033203125, 0.194091796875, -0.249755859375, 0.391357421875, 0.002887725830078125, -0.10003662109375, -0.1680908203125, 0.0635986328125, -0.8515625, -1.4501953125, 0.429931640625, 0.4892578125, 0.4775390625, -0.69970703125, -1.232421875, -0.0293426513671875, -1.125, 0.056884765625, -0.490966796875, 0.78515625, -0.07720947265625, -0.0704345703125, -0.344482421875, -1.1259765625, 4.4609375, 0.78076171875, 0.99072265625, 0.14892578125, 0.2802734375, 0.76171875, 0.86328125, -0.302978515625, -0.374267578125, -0.1405029296875, 0.4345703125, -0.7255859375, 0.1253662109375, 0.5732421875, 0.382568359375, 0.393310546875, -0.6474609375, 0.455078125, -0.11297607421875, -1.0634765625, -1.064453125, 0.2266845703125, -0.0272216796875, 0.748046875, 0.245849609375, -0.036346435546875, 0.238525390625, -0.5732421875, -0.1807861328125, -0.459716796875, 0.2359619140625, -0.488525390625, 1.0087890625, -0.08953857421875, -0.09844970703125, 0.218505859375, 0.32958984375, -0.640625, -0.2032470703125, 0.0400390625, 0.0183563232421875, 0.141357421875, 0.54150390625, -1.04296875, -0.302978515625, 0.5029296875, -0.52880859375, 0.50732421875, 0.1396484375, -1.1220703125, 0.9677734375, -0.447998046875, 0.5693359375, -0.6123046875, -0.55810546875, -0.278564453125, -0.0033473968505859375, -0.2008056640625, -0.176025390625, 0.65087890625, 0.1981201171875, 0.8134765625, 0.035064697265625, 0.2178955078125, -1.08984375, 0.39453125, -0.0335693359375, 0.400390625, -0.6279296875, 0.03533935546875, -0.281982421875, -0.0548095703125, 0.01520538330078125, -0.2880859375, 0.3818359375, 0.372802734375, -0.421142578125, 0.76904296875, 0.430419921875, -0.87060546875, -0.0357666015625, -0.20458984375, -0.42138671875, -0.311767578125, 0.64013671875, 1.3349609375, -0.9150390625, -0.297607421875, -0.712890625, 1.076171875, 0.435302734375, 0.50390625, -0.0236663818359375, -0.399169921875, -0.3994140625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest. Given the list of strings, output the lexicographically smallest concatenation. Input The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104). Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104. Output Print the only string a — the lexicographically smallest string concatenation. Examples Input 4 abba abacaba bcd er Output abacabaabbabcder Input 5 x xx xxa xxaa xxaaa Output xxaaaxxaaxxaxxx Input 3 c cb cba Output cbacbc Tags: sortings, strings Correct Solution: ``` n = int(input()) def comp(a, b): l = a + b r = b + a if l < r: return -1 elif l == r: return 0 else: return 1 from functools import cmp_to_key d = [] for _ in range(n): s = input().rstrip() d.append(s) d.sort(key=cmp_to_key(comp)) print(''.join(d)) ```
6,237
[ 0.281982421875, -0.3505859375, 0.37890625, 0.26904296875, -0.388427734375, -0.390380859375, 0.1685791015625, 0.03216552734375, 0.06146240234375, 0.60791015625, 0.80029296875, -0.00914764404296875, -0.429931640625, -1.1396484375, -0.88330078125, -0.132568359375, -0.59814453125, -0.701171875, -0.340576171875, -0.1510009765625, 0.03472900390625, -0.197998046875, -1.6494140625, 0.330322265625, -0.18701171875, 1.517578125, 0.6806640625, -0.1265869140625, 0.9599609375, 0.88720703125, -0.3759765625, -0.3310546875, 0.837890625, -1.2236328125, -0.61865234375, -0.46923828125, 0.8037109375, -0.5546875, -0.45849609375, -0.3095703125, 0.43408203125, -0.62158203125, 0.341064453125, -0.6435546875, -1.1279296875, 0.09088134765625, -0.09674072265625, -0.30224609375, 0.01806640625, -0.958984375, -0.207763671875, -0.15185546875, 0.74658203125, -0.17041015625, -0.271240234375, -0.10394287109375, 0.25634765625, -0.22509765625, -0.481689453125, 0.49169921875, 0.37451171875, 0.495361328125, 0.1092529296875, -0.29248046875, -0.2431640625, 0.22998046875, -0.00772857666015625, -0.408447265625, -0.1839599609375, -1.0224609375, -0.296630859375, 0.1514892578125, -0.44482421875, -0.5751953125, -0.3115234375, -0.053466796875, 0.309814453125, -0.306884765625, -0.2578125, 0.7236328125, 0.229736328125, 0.8720703125, -0.032440185546875, 0.2449951171875, -0.471435546875, -0.5732421875, -0.23095703125, 0.2298583984375, 0.4443359375, 0.1275634765625, -0.0367431640625, 0.6220703125, -0.5478515625, 0.04736328125, 0.69873046875, 0.26513671875, -0.3251953125, 0.2296142578125, 0.397216796875, 0.68701171875, 0.63671875, 0.8974609375, -0.275390625, 1.017578125, -0.455322265625, 0.0308074951171875, -0.36083984375, -0.1787109375, -0.30078125, 0.23779296875, -0.5419921875, -0.439697265625, 0.52734375, 0.17333984375, -0.212890625, 0.9140625, 0.032562255859375, 0.280517578125, -0.853515625, 0.40625, 0.483154296875, 0.357177734375, 0.56201171875, -0.3779296875, -0.0743408203125, -0.52783203125, -0.65478515625, 0.8525390625, -0.63232421875, 0.12176513671875, 0.323974609375, 0.289306640625, 0.051513671875, 0.393798828125, 0.0899658203125, 0.6982421875, -0.051177978515625, 0.77197265625, 0.62255859375, -0.58642578125, 0.71142578125, -0.63720703125, -0.300048828125, 1.16796875, 0.4345703125, 0.200927734375, 0.8681640625, 0.31591796875, -0.72314453125, 0.288330078125, -0.94873046875, 0.5849609375, 0.392333984375, 0.092041015625, -0.034027099609375, 0.135498046875, -0.2291259765625, 0.2177734375, 0.341796875, 0.30859375, -0.275146484375, -0.15185546875, -0.35693359375, 0.35498046875, -0.6064453125, 0.67919921875, -0.669921875, -0.23828125, -0.1644287109375, -0.4755859375, -0.1259765625, -0.2958984375, -0.0875244140625, 0.87646484375, 0.646484375, 0.96044921875, 0.85595703125, -0.09002685546875, 0.36865234375, 0.2152099609375, -0.378662109375, 0.435546875, 0.0274810791015625, 0.62548828125, 0.1566162109375, 0.413818359375, 0.315185546875, -0.33056640625, -0.78515625, -0.986328125, -0.0208282470703125, 0.83642578125, -0.50341796875, 0.28564453125, -0.35986328125, 0.10992431640625, -0.495849609375, -0.2366943359375, -0.0248260498046875, -0.87646484375, -0.4267578125, 0.381103515625, -0.256591796875, 0.1883544921875, -0.87109375, -0.4541015625, 0.67578125, 1.0205078125, -0.17626953125, -0.118408203125, 0.5556640625, -0.26025390625, -0.151611328125, 0.63330078125, 0.253173828125, 0.0001590251922607422, -0.385009765625, 0.68359375, -0.334228515625, 0.002819061279296875, -0.06976318359375, 0.9296875, 0.4755859375, 0.55029296875, 0.0650634765625, 0.13818359375, 0.55908203125, 0.93359375, -0.2216796875, 0.93408203125, 0.1748046875, 0.74267578125, 0.8759765625, 0.505859375, 0.56005859375, 0.25146484375, 0.59521484375, 0.66064453125, 0.31005859375, 0.03692626953125, -0.1824951171875, 0.29638671875, 0.2470703125, 0.491455078125, 0.2919921875, 0.60302734375, 0.047760009765625, 0.1904296875, -0.314208984375, -0.164306640625, -0.43994140625, 0.990234375, 0.1624755859375, 0.352294921875, -0.40185546875, -0.490234375, 0.25830078125, 0.87939453125, -0.6337890625, -0.66064453125, -0.069580078125, 0.1810302734375, -0.144775390625, -0.30419921875, 0.312744140625, 0.69580078125, 0.53271484375, 0.283447265625, -0.418701171875, -0.475341796875, -0.9814453125, -0.703125, -0.748046875, -0.1610107421875, -0.8134765625, 0.2391357421875, 0.57177734375, -0.515625, 0.356201171875, -0.51171875, -0.1326904296875, 0.01409149169921875, -0.65234375, 0.377197265625, 0.037628173828125, 0.474609375, -0.66552734375, 0.66650390625, 0.4365234375, 1.1796875, -0.52099609375, -0.359619140625, -0.11700439453125, -0.7294921875, 0.0909423828125, 0.5322265625, 0.341064453125, 0.047576904296875, -0.6162109375, -1.26953125, -0.425537109375, 0.109130859375, 0.059600830078125, 0.356689453125, -0.3798828125, 0.853515625, 0.3271484375, -0.52001953125, 0.459228515625, 0.48583984375, -0.72802734375, 0.1861572265625, 0.289306640625, 0.02587890625, -0.8896484375, 1.021484375, 0.367431640625, 0.1680908203125, -0.5810546875, -0.50146484375, -0.521484375, 0.361083984375, 0.003475189208984375, -0.61962890625, -0.2227783203125, 0.5703125, -0.1668701171875, -0.880859375, 0.63818359375, -0.64990234375, -0.603515625, -0.2169189453125, -0.061920166015625, 0.61767578125, 0.66455078125, 0.2490234375, -0.16845703125, 0.33056640625, -0.33935546875, 0.638671875, 0.50732421875, -0.5087890625, -0.269287109375, 0.477294921875, 0.00281524658203125, -0.1263427734375, 0.1922607421875, -0.040283203125, 0.209228515625, -0.11773681640625, 0.095458984375, 0.6962890625, 0.3642578125, 0.1368408203125, 0.1514892578125, 0.69189453125, -0.60107421875, -0.465087890625, -0.08837890625, 0.5361328125, 0.2310791015625, 0.38916015625, -0.0247039794921875, -0.31640625, -0.10650634765625, -1.234375, 0.64990234375, 0.0167999267578125, 0.923828125, -0.61328125, 0.9267578125, 0.6953125, -0.400146484375, 0.50537109375, -0.708984375, -0.1595458984375, 1.0224609375, -0.09942626953125, 1.1533203125, -0.30419921875, -0.046539306640625, 0.0616455078125, 0.180908203125, 0.444091796875, 0.55322265625, 0.326904296875, -0.513671875, 0.002040863037109375, -0.4521484375, -0.2474365234375, -0.0968017578125, -0.5009765625, 0.293212890625, -0.358154296875, -0.0218353271484375, -0.62451171875, 0.322265625, 0.7744140625, 0.415771484375, 0.370849609375, 0.470947265625, 0.2291259765625, 0.80419921875, 0.56689453125, -0.2315673828125, 0.16064453125, -0.56396484375, 0.958984375, -0.3955078125, -0.493896484375, -0.7138671875, -0.31494140625, -0.283203125, 0.243408203125, -0.155517578125, -0.37890625, -1.0771484375, 0.5830078125, -0.25390625, 0.6826171875, -0.4736328125, -0.380126953125, -0.1251220703125, 0.3291015625, 0.02349853515625, -1.0693359375, 0.7451171875, -0.85546875, 0.483154296875, 0.41015625, -0.1224365234375, -0.208251953125, -0.6044921875, -0.62646484375, -0.63037109375, 0.52294921875, 0.82177734375, -0.0279541015625, 0.05047607421875, -1.1240234375, 0.452392578125, 0.1387939453125, 0.00835418701171875, -0.10809326171875, 0.10992431640625, 0.0026302337646484375, -0.127197265625, 0.5810546875, -0.498291015625, -0.8876953125, 0.52099609375, -1.31640625, 0.3330078125, -0.763671875, 0.80859375, 0.1900634765625, -0.031890869140625, 0.146728515625, 0.3046875, -0.292724609375, -0.035919189453125, -0.4501953125, 0.236572265625, -0.939453125, -0.5400390625, 0.54296875, -0.278076171875, -0.2181396484375, 1.1025390625, -0.166748046875, -0.515625, 0.11004638671875, 0.82666015625, -0.391845703125, 0.239501953125, -0.283447265625, 0.6826171875, -0.7177734375, -0.71044921875, -0.381591796875, -0.489501953125, 1.029296875, 0.0416259765625, -0.7685546875, -0.1431884765625, -1.07421875, -0.14306640625, 0.253173828125, -0.54541015625, 0.1966552734375, -0.24462890625, -0.4052734375, -0.11090087890625, -0.50830078125, -0.5087890625, -0.40283203125, -0.52880859375, -0.3056640625, 0.2303466796875, 0.148681640625, 0.8505859375, 0.08270263671875, -0.39208984375, 0.09429931640625, 0.09771728515625, 0.0296478271484375, -0.4140625, -0.21826171875, -0.5380859375, -0.3369140625, -0.39453125, 0.039093017578125, 0.29833984375, 0.286376953125, 0.451171875, 0.1881103515625, 0.237060546875, 0.438720703125, -0.9873046875, 0.98779296875, -0.00753021240234375, -0.56396484375, -0.390625, 0.62109375, -0.1875, 0.4091796875, 0.3505859375, -0.77294921875, -0.8232421875, -0.86865234375, 0.291015625, -0.10894775390625, -0.25048828125, -0.92041015625, -0.01065826416015625, -0.5625, 0.295654296875, -0.23388671875, -0.450439453125, 0.10223388671875, -0.81396484375, -0.245849609375, -0.91650390625, -0.4541015625, -0.802734375, -0.421875, -0.0660400390625, 0.853515625, 0.333984375, 0.37255859375, -0.0034332275390625, -0.02667236328125, 0.5517578125, -0.346435546875, -0.66943359375, -0.373779296875, -0.12353515625, 0.4755859375, -0.002307891845703125, -0.286376953125, -0.49609375, 0.60595703125, -0.6962890625, 0.1837158203125, -0.55859375, -0.1243896484375, -0.38671875, -0.366943359375, 1.1455078125, -0.28857421875, -0.275146484375, -0.021942138671875, 0.83642578125, 0.81689453125, -0.5693359375, -0.46337890625, -1.00390625, -0.451904296875, -0.73388671875, 0.471435546875, -0.427978515625, 0.1058349609375, -0.6865234375, -0.12371826171875, 1.2666015625, -0.599609375, 0.56982421875, 0.8466796875, -0.00656890869140625, 0.3681640625, -0.8037109375, 0.58642578125, 0.3623046875, -0.58349609375, 0.052154541015625, -0.1551513671875, -0.712890625, 0.13720703125, -0.1361083984375, -1.2353515625, -0.54052734375, 0.53271484375, 1.533203125, -0.250732421875, 0.5205078125, 0.3076171875, -1.109375, -0.5771484375, 0.8681640625, 0.1552734375, 0.366455078125, 0.927734375, -0.28076171875, -0.06719970703125, -0.317626953125, -0.46728515625, -0.337890625, -0.186279296875, 0.904296875, -0.36181640625, -0.48095703125, 1.009765625, 0.82177734375, -1.0595703125, -0.73486328125, -0.375244140625, -0.08648681640625, -0.5185546875, -0.4990234375, 0.1639404296875, 0.438720703125, -0.67529296875, -0.1727294921875, 0.12103271484375, -0.326904296875, 0.25537109375, 0.009918212890625, 0.176025390625, -0.5146484375, 0.12310791015625, 0.56494140625, -0.46923828125, -0.367431640625, -0.67578125, 0.257568359375, -0.46337890625, 0.1533203125, 0.6591796875, 0.0265350341796875, 0.454833984375, 0.4599609375, 0.291259765625, 0.541015625, -0.51220703125, -0.295654296875, 0.07073974609375, -0.411376953125, -0.36669921875, 0.0382080078125, 0.4130859375, -0.22412109375, 0.390625, -0.8583984375, -0.07843017578125, 0.0121307373046875, 0.384521484375, -0.101806640625, -0.55810546875, 0.102783203125, -1.2216796875, -0.4814453125, -0.54638671875, -0.73681640625, -0.285888671875, -0.048492431640625, 0.3701171875, -0.80615234375, 0.06640625, 0.63818359375, -0.314208984375, 0.62841796875, -0.5068359375, 0.26025390625, -0.7392578125, -0.335693359375, -0.493408203125, 0.281494140625, -0.25634765625, 0.095703125, -1.2138671875, 0.177001953125, -0.016510009765625, 0.3876953125, -0.310302734375, 0.454833984375, -0.3427734375, -0.401123046875, 0.12249755859375, -0.0867919921875, -0.10198974609375, 0.54052734375, 0.384765625, 0.1888427734375, 0.2249755859375, -0.12091064453125, -0.5517578125, -0.70068359375, 0.5908203125, 0.75927734375, -0.407958984375, -0.1351318359375, -0.335205078125, 0.306396484375, -0.83837890625, 0.48291015625, -0.2578125, -0.0794677734375, -0.07379150390625, -0.2423095703125, 0.6416015625, 1.4140625, -0.12152099609375, 0.27001953125, -0.29052734375, 0.1820068359375, 0.4794921875, 0.004192352294921875, -0.2191162109375, 0.333740234375, 0.05120849609375, 0.08721923828125, -0.30029296875, 0.71875, 0.28271484375, 0.80908203125, -0.0214996337890625, -0.75244140625, -1.095703125, -0.284423828125, 0.1177978515625, 0.73583984375, 0.260986328125, -0.444091796875, -0.2030029296875, -0.2125244140625, -0.333740234375, 0.51025390625, -0.90576171875, -1.1435546875, 0.197265625, 0.152099609375, -0.62158203125, -0.24658203125, -0.6142578125, -0.01360321044921875, 0.2257080078125, 0.72314453125, -0.51513671875, 0.88427734375, 0.042724609375, 0.251220703125, -0.283447265625, -0.132568359375, 0.2130126953125, 0.419677734375, -0.45849609375, -0.439208984375, 0.15234375, 0.95654296875, 0.44384765625, -0.09234619140625, -0.342041015625, 0.17138671875, 0.1513671875, 0.359375, -0.70361328125, -0.339111328125, -0.282958984375, 0.43798828125, -0.85400390625, 0.005069732666015625, -0.306640625, 0.291015625, 0.271240234375, -0.0947265625, -0.46630859375, 0.9150390625, 0.875, -0.076904296875, 0.51806640625, 0.1754150390625, 0.37158203125, 0.27294921875, -0.376708984375, -0.48193359375, 0.80859375, 0.433349609375, 0.669921875, -0.1192626953125, 0.431884765625, 0.5791015625, -0.053253173828125, -0.336181640625, 0.62109375, 0.08282470703125, -0.06512451171875, 0.2105712890625, -0.301025390625, -0.09027099609375, 0.057952880859375, -0.59521484375, 0.31005859375, -0.26611328125, -0.130615234375, -0.06890869140625, -0.5830078125, 1.125, -0.5517578125, -0.395751953125, -0.1939697265625, -0.09417724609375, 0.275634765625, 0.82763671875, -0.0008873939514160156, -0.2083740234375, 0.74853515625, 0.65380859375, 0.5517578125, 0.7705078125, 0.384521484375, 0.308349609375, -0.53662109375, 0.1708984375, -0.1627197265625, 0.02362060546875, -0.1796875, -0.01430511474609375, -1.068359375, 0.489501953125, -0.06207275390625, -0.5869140625, 0.7802734375, -0.4794921875, -0.09820556640625, -0.275146484375, 0.4423828125, -0.93603515625, 0.487060546875, 0.333740234375, -0.462890625, -0.5283203125, 0.92626953125, -0.1671142578125, 0.29736328125, 0.0019388198852539062, 1.0380859375, -0.042999267578125, 1.4296875, 0.19775390625, -0.333740234375, -0.1668701171875, 0.61572265625, -0.194580078125, -0.71337890625, -0.6142578125, -0.483642578125, 0.218505859375, -0.5830078125, -0.1497802734375, -0.0762939453125, 0.58251953125, 0.1658935546875, -1.150390625, -0.11895751953125, 0.1195068359375, -1.119140625, 0.3935546875, 0.845703125, 0.13427734375, 0.020904541015625, -0.315673828125, -0.1934814453125, -0.60498046875, 0.24951171875, -0.57861328125, 0.1539306640625, -0.8544921875, -0.393310546875, -0.64990234375, -0.58837890625, -0.332275390625, -0.159423828125, -0.268310546875, -0.955078125, 0.45068359375, 0.452880859375, 0.389892578125, 0.10675048828125, -0.14990234375, 0.1358642578125, 1.0634765625, 0.865234375, 0.1959228515625, 0.58837890625, 0.4951171875, -0.254638671875, 0.29443359375, 0.052490234375, 0.436767578125, 0.054107666015625, 0.442138671875, -0.33837890625, 0.5185546875, -0.7021484375, -1.1650390625, -0.039520263671875, 0.52001953125, 0.5498046875, -0.7109375, -0.72802734375, -0.2666015625, -0.9951171875, -0.3271484375, -0.38427734375, 0.7802734375, -0.273681640625, -0.11773681640625, 0.33251953125, -1.2353515625, 4.41796875, 0.94775390625, 1.2109375, 0.8837890625, 0.02642822265625, 0.98095703125, 0.388427734375, -0.51953125, 0.0740966796875, -0.1351318359375, 0.42529296875, -0.487060546875, -0.220458984375, 1.107421875, 0.380126953125, 0.44677734375, -0.38818359375, 0.261962890625, -0.0179290771484375, -0.7548828125, -0.99853515625, 0.66943359375, -0.2099609375, 0.8740234375, 0.1402587890625, 0.050445556640625, 0.487548828125, -0.4931640625, -0.333740234375, -0.69873046875, 0.52197265625, -0.580078125, 0.97216796875, -0.08392333984375, -0.5146484375, 0.404052734375, -0.2388916015625, -0.53271484375, -0.271728515625, 0.2169189453125, 0.1180419921875, 0.05438232421875, 0.75390625, -0.6923828125, 0.06927490234375, 0.1446533203125, -0.8525390625, 0.57666015625, -0.11199951171875, -1.0068359375, 0.55859375, -0.2587890625, 0.1282958984375, -0.73046875, -0.83984375, -0.0968017578125, 0.2310791015625, -0.418212890625, -0.29150390625, 0.77392578125, 0.6376953125, 0.280029296875, 0.268310546875, 0.463623046875, -1.232421875, 0.654296875, -0.18701171875, 0.66552734375, -0.77099609375, -0.1910400390625, -0.3134765625, -0.420166015625, -0.436767578125, -0.404296875, 0.308349609375, 0.08013916015625, -0.1710205078125, 0.317626953125, 0.343994140625, -0.99951171875, 0.302490234375, 0.1954345703125, -0.2705078125, -0.6865234375, 0.86962890625, 1.0556640625, -1.123046875, -0.60546875, -0.2227783203125, 0.41552734375, 0.56591796875, 0.399169921875, 0.3203125, -0.50146484375, -0.12548828125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest. Given the list of strings, output the lexicographically smallest concatenation. Input The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104). Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104. Output Print the only string a — the lexicographically smallest string concatenation. Examples Input 4 abba abacaba bcd er Output abacabaabbabcder Input 5 x xx xxa xxaa xxaaa Output xxaaaxxaaxxaxxx Input 3 c cb cba Output cbacbc Tags: sortings, strings Correct Solution: ``` #### IMPORTANT LIBRARY #### ############################ ### DO NOT USE import random --> 250ms to load the library ############################ ### In case of extra libraries: https://github.com/cheran-senthil/PyRival ###################### ####### IMPORT ####### ###################### from functools import cmp_to_key from collections import deque, Counter from heapq import heappush, heappop from math import log, ceil ###################### #### STANDARD I/O #### ###################### import sys import os from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") if sys.version_info[0] < 3: sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout) else: sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) def print(*args, **kwargs): sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout) at_start = True for x in args: if not at_start: file.write(sep) file.write(str(x)) at_start = False file.write(kwargs.pop("end", "\n")) if kwargs.pop("flush", False): file.flush() def inp(): return sys.stdin.readline().rstrip("\r\n") # for fast input def ii(): return int(inp()) def si(): return str(inp()) def li(lag = 0): l = list(map(int, inp().split())) if lag != 0: for i in range(len(l)): l[i] += lag return l def mi(lag = 0): matrix = list() for i in range(n): matrix.append(li(lag)) return matrix def lsi(): #string list return list(map(str, inp().split())) def print_list(lista, space = " "): print(space.join(map(str, lista))) ###################### ### BISECT METHODS ### ###################### def bisect_left(a, x): """i tale che a[i] >= x e a[i-1] < x""" left = 0 right = len(a) while left < right: mid = (left+right)//2 if a[mid] < x: left = mid+1 else: right = mid return left def bisect_right(a, x): """i tale che a[i] > x e a[i-1] <= x""" left = 0 right = len(a) while left < right: mid = (left+right)//2 if a[mid] > x: right = mid else: left = mid+1 return left def bisect_elements(a, x): """elementi pari a x nell'árray sortato""" return bisect_right(a, x) - bisect_left(a, x) ###################### ### MOD OPERATION #### ###################### MOD = 10**9 + 7 maxN = 5 FACT = [0] * maxN INV_FACT = [0] * maxN def add(x, y): return (x+y) % MOD def multiply(x, y): return (x*y) % MOD def power(x, y): if y == 0: return 1 elif y % 2: return multiply(x, power(x, y-1)) else: a = power(x, y//2) return multiply(a, a) def inverse(x): return power(x, MOD-2) def divide(x, y): return multiply(x, inverse(y)) def allFactorials(): FACT[0] = 1 for i in range(1, maxN): FACT[i] = multiply(i, FACT[i-1]) def inverseFactorials(): n = len(INV_FACT) INV_FACT[n-1] = inverse(FACT[n-1]) for i in range(n-2, -1, -1): INV_FACT[i] = multiply(INV_FACT[i+1], i+1) def coeffBinom(n, k): if n < k: return 0 return multiply(FACT[n], multiply(INV_FACT[k], INV_FACT[n-k])) ###################### #### GRAPH ALGOS ##### ###################### # ZERO BASED GRAPH def create_graph(n, m, undirected = 1, unweighted = 1): graph = [[] for i in range(n)] if unweighted: for i in range(m): [x, y] = li(lag = -1) graph[x].append(y) if undirected: graph[y].append(x) else: for i in range(m): [x, y, w] = li(lag = -1) w += 1 graph[x].append([y,w]) if undirected: graph[y].append([x,w]) return graph def create_tree(n, unweighted = 1): children = [[] for i in range(n)] if unweighted: for i in range(n-1): [x, y] = li(lag = -1) children[x].append(y) children[y].append(x) else: for i in range(n-1): [x, y, w] = li(lag = -1) w += 1 children[x].append([y, w]) children[y].append([x, w]) return children def dist(tree, n, A, B = -1): s = [[A, 0]] massimo, massimo_nodo = 0, 0 distanza = -1 v = [-1] * n while s: el, dis = s.pop() if dis > massimo: massimo = dis massimo_nodo = el if el == B: distanza = dis for child in tree[el]: if v[child] == -1: v[child] = 1 s.append([child, dis+1]) return massimo, massimo_nodo, distanza def diameter(tree): _, foglia, _ = dist(tree, n, 0) diam, _, _ = dist(tree, n, foglia) return diam def dfs(graph, n, A): v = [-1] * n s = [[A, 0]] v[A] = 0 while s: el, dis = s.pop() for child in graph[el]: if v[child] == -1: v[child] = dis + 1 s.append([child, dis + 1]) return v #visited: -1 if not visited, otherwise v[B] is the distance in terms of edges def bfs(graph, n, A): v = [-1] * n s = deque() s.append([A, 0]) v[A] = 0 while s: el, dis = s.popleft() for child in graph[el]: if v[child] == -1: v[child] = dis + 1 s.append([child, dis + 1]) return v #visited: -1 if not visited, otherwise v[B] is the distance in terms of edges #FROM A GIVEN ROOT, RECOVER THE STRUCTURE def parents_children_root_unrooted_tree(tree, n, root = 0): q = deque() visited = [0] * n parent = [-1] * n children = [[] for i in range(n)] q.append(root) while q: all_done = 1 visited[q[0]] = 1 for child in tree[q[0]]: if not visited[child]: all_done = 0 q.appendleft(child) if all_done: for child in tree[q[0]]: if parent[child] == -1: parent[q[0]] = child children[child].append(q[0]) q.popleft() return parent, children # CALCULATING LONGEST PATH FOR ALL THE NODES def all_longest_path_passing_from_node(parent, children, n): q = deque() visited = [len(children[i]) for i in range(n)] downwards = [[0,0] for i in range(n)] upward = [1] * n longest_path = [1] * n for i in range(n): if not visited[i]: q.append(i) downwards[i] = [1,0] while q: node = q.popleft() if parent[node] != -1: visited[parent[node]] -= 1 if not visited[parent[node]]: q.append(parent[node]) else: root = node for child in children[node]: downwards[node] = sorted([downwards[node][0], downwards[node][1], downwards[child][0] + 1], reverse = True)[0:2] s = [node] while s: node = s.pop() if parent[node] != -1: if downwards[parent[node]][0] == downwards[node][0] + 1: upward[node] = 1 + max(upward[parent[node]], downwards[parent[node]][1]) else: upward[node] = 1 + max(upward[parent[node]], downwards[parent[node]][0]) longest_path[node] = downwards[node][0] + downwards[node][1] + upward[node] - min([downwards[node][0], downwards[node][1], upward[node]]) - 1 for child in children[node]: s.append(child) return longest_path ### TBD SUCCESSOR GRAPH 7.5 ### TBD TREE QUERIES 10.2 da 2 a 4 ### TBD ADVANCED TREE 10.3 ### TBD GRAPHS AND MATRICES 11.3.3 e 11.4.3 e 11.5.3 (ON GAMES) ###################### ## END OF LIBRARIES ## ###################### n = ii() lista = [] for i in range(n): lista.append(si()) def custom_sort(lista): def cmp(x,y): if x+y>y+x: return 1 else: return -1 return sorted(lista, key = cmp_to_key(cmp)) lista = custom_sort(lista) print_list(lista, "") ```
6,238
[ 0.2861328125, -0.381103515625, 0.253173828125, 0.31298828125, -0.1904296875, -0.322509765625, 0.10107421875, 0.054534912109375, 0.351318359375, 0.60400390625, 0.74365234375, -0.158447265625, -0.364013671875, -1.177734375, -0.8310546875, -0.1568603515625, -0.58740234375, -0.73876953125, -0.337890625, -0.1077880859375, 0.029266357421875, -0.26953125, -1.5029296875, 0.184326171875, -0.24658203125, 1.537109375, 0.496337890625, 0.004726409912109375, 0.99560546875, 0.86865234375, -0.28466796875, -0.5322265625, 0.85791015625, -1.31640625, -0.5322265625, -0.400146484375, 0.86669921875, -0.485595703125, -0.53076171875, -0.248291015625, 0.484130859375, -0.6259765625, 0.30908203125, -0.7099609375, -1.1201171875, 0.0677490234375, -0.288330078125, -0.370849609375, 0.0478515625, -0.8583984375, -0.2410888671875, -0.18359375, 0.736328125, -0.10357666015625, -0.274658203125, -0.06707763671875, 0.2484130859375, -0.39794921875, -0.49267578125, 0.36181640625, 0.51123046875, 0.468994140625, 0.139892578125, -0.453125, -0.27197265625, 0.2489013671875, -0.00966644287109375, -0.2529296875, -0.23876953125, -0.84619140625, -0.303466796875, 0.211181640625, -0.456787109375, -0.6826171875, -0.4345703125, 0.013427734375, 0.320068359375, -0.322021484375, -0.2333984375, 0.79638671875, 0.1605224609375, 0.912109375, 0.0626220703125, 0.253662109375, -0.525390625, -0.62890625, -0.264404296875, 0.1617431640625, 0.2156982421875, 0.12841796875, -0.1346435546875, 0.64111328125, -0.57568359375, 0.184814453125, 0.7392578125, 0.387451171875, -0.43798828125, 0.281494140625, 0.292236328125, 0.6953125, 0.7587890625, 1.0087890625, -0.2020263671875, 0.9306640625, -0.4912109375, 0.06378173828125, -0.197998046875, -0.234619140625, -0.4580078125, 0.0673828125, -0.5458984375, -0.51123046875, 0.56591796875, 0.21630859375, -0.1064453125, 0.87109375, 0.031982421875, 0.2410888671875, -0.8310546875, 0.331298828125, 0.45166015625, 0.48828125, 0.53271484375, -0.53564453125, -0.26806640625, -0.66943359375, -0.529296875, 0.94189453125, -0.66796875, 0.1708984375, 0.4267578125, 0.26025390625, -0.0611572265625, 0.4912109375, 0.09326171875, 0.7490234375, 0.07647705078125, 0.73291015625, 0.7568359375, -0.552734375, 0.603515625, -0.5673828125, -0.386962890625, 1.138671875, 0.420166015625, 0.1719970703125, 0.8564453125, 0.25830078125, -0.68408203125, 0.396728515625, -0.85693359375, 0.56298828125, 0.49072265625, 0.01174163818359375, -0.142333984375, 0.1826171875, -0.17236328125, 0.445068359375, 0.44189453125, 0.142333984375, -0.28125, -0.11517333984375, -0.32958984375, 0.39990234375, -0.65576171875, 0.822265625, -0.6416015625, -0.2430419921875, -0.1431884765625, -0.42431640625, -0.1019287109375, -0.350341796875, -0.2064208984375, 0.97314453125, 0.59619140625, 0.77001953125, 0.88818359375, -0.1541748046875, 0.34130859375, 0.294921875, -0.319580078125, 0.43603515625, 0.21826171875, 0.7099609375, 0.34033203125, 0.44580078125, 0.362548828125, -0.453857421875, -0.783203125, -1.0927734375, 0.0521240234375, 0.912109375, -0.380859375, 0.267822265625, -0.4306640625, 0.10601806640625, -0.53076171875, -0.3232421875, -0.037567138671875, -0.9375, -0.353271484375, 0.404052734375, -0.252197265625, 0.1573486328125, -0.65771484375, -0.529296875, 0.62939453125, 1.0322265625, -0.2548828125, -0.153564453125, 0.57421875, -0.380615234375, -0.247314453125, 0.5615234375, 0.289794921875, -0.01047515869140625, -0.37890625, 0.62255859375, -0.224853515625, -0.056549072265625, -0.2060546875, 0.8681640625, 0.47216796875, 0.490966796875, 0.1412353515625, 0.1593017578125, 0.3759765625, 0.83935546875, -0.15087890625, 0.83544921875, 0.2357177734375, 0.77099609375, 0.7705078125, 0.52490234375, 0.57861328125, 0.2060546875, 0.6572265625, 0.6572265625, 0.251953125, 0.0716552734375, -0.24560546875, 0.38623046875, 0.0909423828125, 0.404296875, 0.3056640625, 0.505859375, 0.1434326171875, 0.11865234375, -0.2327880859375, -0.0643310546875, -0.34423828125, 0.9951171875, 0.032684326171875, 0.30419921875, -0.4951171875, -0.35546875, 0.07916259765625, 0.87646484375, -0.64892578125, -0.5869140625, -0.1622314453125, 0.201904296875, -0.181640625, -0.083251953125, 0.2607421875, 0.72412109375, 0.328369140625, 0.36669921875, -0.40771484375, -0.4150390625, -0.9970703125, -0.70263671875, -0.6923828125, -0.146728515625, -0.7265625, 0.16650390625, 0.671875, -0.5849609375, 0.317138671875, -0.436767578125, -0.11822509765625, 0.27294921875, -0.6025390625, 0.3642578125, 0.04132080078125, 0.61962890625, -0.73291015625, 0.54443359375, 0.400390625, 1.1005859375, -0.55078125, -0.35791015625, -0.07574462890625, -0.72412109375, 0.25830078125, 0.492919921875, 0.389892578125, -0.0115509033203125, -0.5205078125, -1.2421875, -0.28173828125, -0.0186920166015625, 0.135009765625, 0.375244140625, -0.394287109375, 0.92626953125, 0.298828125, -0.453125, 0.55810546875, 0.485595703125, -0.7294921875, 0.365478515625, 0.2396240234375, 0.1024169921875, -0.91259765625, 1.072265625, 0.28564453125, 0.101318359375, -0.736328125, -0.52490234375, -0.377197265625, 0.212890625, -0.00428009033203125, -0.7607421875, -0.30322265625, 0.7177734375, -0.148193359375, -0.90625, 0.480224609375, -0.68896484375, -0.52587890625, -0.272705078125, -0.041778564453125, 0.68505859375, 0.521484375, 0.2274169921875, -0.269775390625, 0.39794921875, -0.2254638671875, 0.6533203125, 0.56103515625, -0.47705078125, -0.28515625, 0.56591796875, -0.0894775390625, -0.145751953125, 0.050994873046875, -0.18798828125, 0.1414794921875, -0.06402587890625, -0.04412841796875, 0.6240234375, 0.2978515625, 0.248291015625, 0.149658203125, 0.7216796875, -0.6240234375, -0.412353515625, -0.019622802734375, 0.47998046875, 0.362060546875, 0.41943359375, -0.0288543701171875, -0.3876953125, -0.09552001953125, -1.08203125, 0.50048828125, -0.0152740478515625, 0.884765625, -0.5146484375, 0.9423828125, 0.59375, -0.5849609375, 0.51904296875, -0.697265625, -0.1165771484375, 1.091796875, -0.178955078125, 1.1396484375, -0.2548828125, 0.06549072265625, 0.0648193359375, 0.2437744140625, 0.49853515625, 0.6279296875, 0.291259765625, -0.42578125, -0.03759765625, -0.4091796875, -0.20947265625, 0.00492095947265625, -0.408203125, 0.26806640625, -0.415771484375, 0.089111328125, -0.79052734375, 0.388671875, 1.0224609375, 0.60302734375, 0.387451171875, 0.41748046875, 0.23388671875, 0.67138671875, 0.5693359375, -0.32666015625, 0.261962890625, -0.669921875, 0.91015625, -0.342529296875, -0.447021484375, -0.67822265625, -0.361328125, -0.370361328125, 0.1424560546875, -0.1292724609375, -0.343505859375, -1.09765625, 0.6318359375, -0.29052734375, 0.70166015625, -0.57421875, -0.360595703125, -0.21337890625, 0.49462890625, 0.0295562744140625, -1.0537109375, 0.70166015625, -0.80322265625, 0.375732421875, 0.416259765625, -0.1611328125, -0.2125244140625, -0.5693359375, -0.6005859375, -0.671875, 0.4326171875, 0.705078125, 0.0154266357421875, 0.1949462890625, -1.212890625, 0.405029296875, 0.019775390625, -0.00392913818359375, -0.05670166015625, 0.120361328125, 0.14111328125, -0.2099609375, 0.490234375, -0.422607421875, -0.77099609375, 0.330078125, -1.2578125, 0.3046875, -0.82421875, 0.75048828125, 0.1585693359375, -0.04852294921875, 0.2369384765625, 0.375732421875, -0.303466796875, 0.06024169921875, -0.55224609375, 0.30810546875, -0.91162109375, -0.60498046875, 0.7021484375, -0.424560546875, -0.25146484375, 1.1328125, -0.1357421875, -0.59521484375, 0.365478515625, 0.82568359375, -0.404052734375, 0.16015625, -0.29833984375, 0.57470703125, -0.63330078125, -0.69921875, -0.2939453125, -0.474365234375, 1.1630859375, 0.0028362274169921875, -0.74462890625, -0.20849609375, -1.1513671875, -0.172119140625, 0.445556640625, -0.54638671875, 0.201904296875, -0.20068359375, -0.388671875, -0.10443115234375, -0.47216796875, -0.5751953125, -0.47119140625, -0.4384765625, -0.2047119140625, 0.44580078125, 0.1888427734375, 0.72900390625, 0.0288543701171875, -0.407958984375, 0.11724853515625, 0.053741455078125, 0.0298614501953125, -0.529296875, -0.0732421875, -0.458740234375, -0.1829833984375, -0.319091796875, -0.006206512451171875, 0.22705078125, 0.1483154296875, 0.32568359375, 0.1844482421875, 0.1015625, 0.449951171875, -1.0244140625, 0.99560546875, -0.04486083984375, -0.64697265625, -0.56591796875, 0.80224609375, -0.1866455078125, 0.4228515625, 0.295654296875, -0.66015625, -0.6923828125, -0.78662109375, 0.248291015625, -0.182373046875, -0.17529296875, -0.9599609375, -0.0894775390625, -0.497802734375, 0.1668701171875, -0.0655517578125, -0.6123046875, 0.07470703125, -0.7431640625, -0.15234375, -0.875, -0.467529296875, -0.94482421875, -0.386474609375, -0.14892578125, 0.849609375, 0.3037109375, 0.439208984375, -0.05426025390625, 0.139404296875, 0.411865234375, -0.2269287109375, -0.72509765625, -0.336181640625, -0.1927490234375, 0.444091796875, -0.02276611328125, -0.0599365234375, -0.498291015625, 0.45556640625, -0.66796875, 0.1578369140625, -0.490478515625, -0.10394287109375, -0.343017578125, -0.21826171875, 1.16796875, -0.34521484375, -0.1580810546875, 0.004852294921875, 0.7265625, 0.67041015625, -0.5107421875, -0.5771484375, -1.0224609375, -0.318603515625, -0.80029296875, 0.364990234375, -0.486328125, 0.162841796875, -0.65625, -0.11810302734375, 1.1787109375, -0.4462890625, 0.546875, 0.8662109375, -0.11517333984375, 0.3642578125, -0.70263671875, 0.7421875, 0.309814453125, -0.55908203125, 0.1009521484375, -0.0253448486328125, -0.68798828125, 0.028961181640625, -0.1712646484375, -1.2177734375, -0.48779296875, 0.39208984375, 1.4775390625, -0.34228515625, 0.5224609375, 0.357666015625, -1.08203125, -0.50732421875, 0.83740234375, 0.312744140625, 0.3408203125, 0.900390625, -0.266357421875, -0.06317138671875, -0.33154296875, -0.251953125, -0.1483154296875, -0.300048828125, 0.89697265625, -0.405029296875, -0.4111328125, 1.052734375, 0.83935546875, -1.0166015625, -0.72216796875, -0.356689453125, -0.03631591796875, -0.437255859375, -0.53662109375, 0.1241455078125, 0.4853515625, -0.7568359375, -0.296875, 0.11175537109375, -0.385009765625, 0.315673828125, 0.131591796875, 0.1859130859375, -0.481689453125, 0.08599853515625, 0.52978515625, -0.52734375, -0.394775390625, -0.740234375, 0.11749267578125, -0.3388671875, 0.1905517578125, 0.6376953125, -0.09832763671875, 0.38623046875, 0.35400390625, 0.3291015625, 0.48095703125, -0.345703125, -0.389404296875, 0.019256591796875, -0.489013671875, -0.40625, 0.0865478515625, 0.347900390625, -0.224853515625, 0.402587890625, -0.75927734375, -0.0220489501953125, 0.003025054931640625, 0.2880859375, -0.0977783203125, -0.8095703125, -0.02490234375, -1.263671875, -0.461669921875, -0.435546875, -0.7265625, -0.255859375, -0.0482177734375, 0.60888671875, -0.75146484375, -0.036529541015625, 0.76318359375, -0.269287109375, 0.441650390625, -0.6943359375, 0.2578125, -0.81640625, -0.316650390625, -0.7802734375, 0.26416015625, -0.1495361328125, 0.09375, -1.19140625, 0.12744140625, -0.03778076171875, 0.457275390625, -0.1983642578125, 0.48193359375, -0.302490234375, -0.401123046875, -0.041290283203125, -0.178955078125, -0.09112548828125, 0.56494140625, 0.260498046875, -0.0211181640625, 0.240234375, -0.10394287109375, -0.603515625, -0.6552734375, 0.54052734375, 0.6611328125, -0.259765625, -0.240478515625, -0.3857421875, 0.28271484375, -0.87548828125, 0.56103515625, -0.2393798828125, -0.02685546875, -0.1484375, -0.2344970703125, 0.58447265625, 1.2958984375, -0.2149658203125, 0.298583984375, -0.39306640625, 0.2437744140625, 0.47509765625, -0.0423583984375, -0.1739501953125, 0.3408203125, -0.0587158203125, -0.042510986328125, -0.03802490234375, 0.59228515625, 0.249755859375, 0.8125, -0.11737060546875, -0.544921875, -1.0185546875, -0.274169921875, 0.12164306640625, 0.69189453125, 0.10540771484375, -0.408203125, -0.20654296875, -0.08282470703125, -0.392578125, 0.59716796875, -0.81298828125, -1.146484375, 0.268310546875, 0.05029296875, -0.490478515625, -0.35986328125, -0.5322265625, -0.08245849609375, 0.228759765625, 0.50048828125, -0.397705078125, 0.71826171875, -0.00766754150390625, 0.156982421875, -0.3701171875, -0.325439453125, 0.1644287109375, 0.427490234375, -0.5556640625, -0.469482421875, 0.22802734375, 1.1865234375, 0.407470703125, 0.040985107421875, -0.50390625, 0.16552734375, 0.1317138671875, 0.418701171875, -0.7255859375, -0.284912109375, -0.2939453125, 0.5927734375, -0.810546875, 0.041778564453125, -0.30517578125, 0.1990966796875, 0.36279296875, -0.1461181640625, -0.595703125, 0.78369140625, 0.73779296875, -0.161865234375, 0.56884765625, 0.169189453125, 0.39013671875, 0.2332763671875, -0.33642578125, -0.4755859375, 0.78173828125, 0.305908203125, 0.658203125, -0.1473388671875, 0.5078125, 0.5947265625, -0.1575927734375, -0.44140625, 0.53662109375, 0.260009765625, -0.06298828125, 0.359130859375, -0.2802734375, -0.162109375, -0.048583984375, -0.52783203125, 0.47998046875, -0.1588134765625, -0.1954345703125, -0.06854248046875, -0.5986328125, 0.97119140625, -0.5361328125, -0.440185546875, -0.127197265625, -0.1915283203125, 0.4482421875, 0.7900390625, 0.08013916015625, -0.3662109375, 0.79541015625, 0.703125, 0.498291015625, 0.8330078125, 0.25341796875, 0.458984375, -0.501953125, 0.0144805908203125, -0.087646484375, 0.0714111328125, -0.2115478515625, 0.070068359375, -1.103515625, 0.599609375, -0.1082763671875, -0.51708984375, 0.8876953125, -0.302001953125, -0.1357421875, -0.476806640625, 0.406005859375, -1.0498046875, 0.459228515625, 0.26708984375, -0.3564453125, -0.5439453125, 0.814453125, -0.12078857421875, 0.353515625, -0.01534271240234375, 1.0458984375, -0.1248779296875, 1.53515625, 0.22802734375, -0.1741943359375, -0.187744140625, 0.6171875, -0.302490234375, -0.74853515625, -0.67724609375, -0.5458984375, 0.38427734375, -0.4921875, -0.162353515625, 0.1756591796875, 0.54296875, 0.06597900390625, -1.037109375, -0.00585174560546875, 0.10784912109375, -1.041015625, 0.400146484375, 0.96923828125, 0.07232666015625, 0.013671875, -0.311767578125, -0.1129150390625, -0.6640625, 0.33642578125, -0.55126953125, 0.38525390625, -0.7666015625, -0.382568359375, -0.66259765625, -0.68505859375, -0.2010498046875, -0.2186279296875, -0.173583984375, -0.8896484375, 0.478271484375, 0.60986328125, 0.40576171875, -0.0250244140625, -0.0697021484375, 0.246826171875, 1.1474609375, 0.93994140625, 0.2626953125, 0.658203125, 0.462158203125, -0.10626220703125, 0.28857421875, 0.1651611328125, 0.4775390625, 0.027587890625, 0.343017578125, -0.277587890625, 0.5791015625, -0.67431640625, -1.1455078125, 0.0625, 0.5810546875, 0.6142578125, -0.78955078125, -0.80322265625, -0.280029296875, -0.96630859375, -0.40576171875, -0.5380859375, 0.6025390625, -0.32421875, -0.216064453125, 0.35546875, -1.1875, 4.43359375, 0.86572265625, 1.1845703125, 0.904296875, 0.07257080078125, 0.916015625, 0.5849609375, -0.4658203125, 0.1300048828125, -0.188232421875, 0.412109375, -0.5302734375, -0.205078125, 1.005859375, 0.361083984375, 0.417724609375, -0.42724609375, 0.2288818359375, 0.024322509765625, -0.76708984375, -1.0263671875, 0.60302734375, -0.2412109375, 0.8017578125, 0.267333984375, -0.1627197265625, 0.417236328125, -0.48974609375, -0.2626953125, -0.5458984375, 0.43798828125, -0.55078125, 0.9912109375, -0.22509765625, -0.4345703125, 0.369384765625, -0.1314697265625, -0.455810546875, -0.1943359375, 0.277099609375, 0.09527587890625, 0.0947265625, 0.74169921875, -0.62353515625, 0.1680908203125, 0.1259765625, -0.8583984375, 0.474609375, 0.0030612945556640625, -1.109375, 0.5458984375, -0.262939453125, 0.107177734375, -0.83251953125, -0.79248046875, -0.1466064453125, 0.1993408203125, -0.44677734375, -0.48046875, 0.716796875, 0.6220703125, 0.2197265625, 0.33837890625, 0.44970703125, -1.1875, 0.650390625, -0.232421875, 0.61474609375, -0.822265625, -0.260986328125, -0.454833984375, -0.324462890625, -0.371337890625, -0.46826171875, 0.306640625, 0.1064453125, -0.397705078125, 0.323486328125, 0.385009765625, -0.822265625, 0.237060546875, 0.11578369140625, -0.31494140625, -0.55908203125, 0.9267578125, 1.236328125, -1.0771484375, -0.54931640625, -0.25390625, 0.397705078125, 0.62109375, 0.474609375, 0.27294921875, -0.434814453125, -0.09027099609375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest. Given the list of strings, output the lexicographically smallest concatenation. Input The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104). Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104. Output Print the only string a — the lexicographically smallest string concatenation. Examples Input 4 abba abacaba bcd er Output abacabaabbabcder Input 5 x xx xxa xxaa xxaaa Output xxaaaxxaaxxaxxx Input 3 c cb cba Output cbacbc Tags: sortings, strings Correct Solution: ``` from functools import cmp_to_key def cmp(a,b): return -1 if a+b < b+a else 0 def main(): n = int(input()) l = [input() for i in range(n)] l = sorted(l,key=cmp_to_key(cmp)) for i in l: print(i,end="") if __name__ == "__main__": main() ```
6,239
[ 0.27001953125, -0.392822265625, 0.362060546875, 0.2259521484375, -0.3642578125, -0.40087890625, 0.1590576171875, 0.036712646484375, 0.033538818359375, 0.63916015625, 0.74365234375, 0.01067352294921875, -0.4248046875, -1.1494140625, -0.96923828125, -0.06573486328125, -0.59814453125, -0.71923828125, -0.3125, -0.205810546875, 0.00739288330078125, -0.1754150390625, -1.64453125, 0.2822265625, -0.197509765625, 1.466796875, 0.6484375, -0.157958984375, 0.90185546875, 0.85595703125, -0.376953125, -0.3779296875, 0.87744140625, -1.25, -0.60595703125, -0.474853515625, 0.84033203125, -0.55859375, -0.351806640625, -0.35205078125, 0.431640625, -0.625, 0.398681640625, -0.70947265625, -1.087890625, 0.1041259765625, -0.16748046875, -0.271240234375, -0.0036449432373046875, -0.97216796875, -0.2176513671875, -0.152587890625, 0.6943359375, -0.224853515625, -0.263671875, -0.056976318359375, 0.25048828125, -0.2327880859375, -0.490966796875, 0.53173828125, 0.3359375, 0.515625, 0.054412841796875, -0.392822265625, -0.21484375, 0.1982421875, -0.005260467529296875, -0.4150390625, -0.1710205078125, -1.0634765625, -0.323974609375, 0.14111328125, -0.46630859375, -0.6728515625, -0.34912109375, 0.0094757080078125, 0.278076171875, -0.2900390625, -0.274658203125, 0.697265625, 0.267578125, 0.8173828125, -0.031158447265625, 0.247314453125, -0.480224609375, -0.52294921875, -0.228515625, 0.1983642578125, 0.38818359375, 0.1190185546875, -0.0537109375, 0.6416015625, -0.49462890625, 0.0643310546875, 0.65185546875, 0.303466796875, -0.315673828125, 0.230224609375, 0.400634765625, 0.66259765625, 0.634765625, 0.95263671875, -0.265380859375, 0.91357421875, -0.42431640625, -0.006748199462890625, -0.373779296875, -0.1751708984375, -0.34619140625, 0.2265625, -0.55078125, -0.44775390625, 0.56591796875, 0.177734375, -0.158935546875, 0.93310546875, 0.0845947265625, 0.315673828125, -0.8466796875, 0.377197265625, 0.434814453125, 0.368408203125, 0.572265625, -0.387939453125, -0.1041259765625, -0.5166015625, -0.67822265625, 0.89794921875, -0.65673828125, 0.11737060546875, 0.3583984375, 0.246826171875, 0.04083251953125, 0.463623046875, 0.0723876953125, 0.744140625, -0.036956787109375, 0.80078125, 0.6484375, -0.62158203125, 0.755859375, -0.61669921875, -0.251220703125, 1.173828125, 0.433837890625, 0.1444091796875, 0.849609375, 0.34814453125, -0.71044921875, 0.3486328125, -0.947265625, 0.62939453125, 0.442626953125, 0.07879638671875, 0.051727294921875, 0.133544921875, -0.2203369140625, 0.31494140625, 0.3671875, 0.320068359375, -0.29931640625, -0.1585693359375, -0.2919921875, 0.38037109375, -0.5751953125, 0.77392578125, -0.65576171875, -0.274658203125, -0.2403564453125, -0.462646484375, -0.1610107421875, -0.31201171875, -0.10247802734375, 0.8720703125, 0.703125, 0.95703125, 0.85205078125, -0.150634765625, 0.3896484375, 0.21044921875, -0.412109375, 0.447509765625, 0.0980224609375, 0.62109375, 0.11041259765625, 0.390380859375, 0.392822265625, -0.3466796875, -0.78955078125, -1.0009765625, -0.05963134765625, 0.75146484375, -0.445068359375, 0.300537109375, -0.31982421875, 0.056121826171875, -0.55908203125, -0.280517578125, -0.050933837890625, -0.9658203125, -0.402587890625, 0.322265625, -0.2369384765625, 0.1934814453125, -0.89453125, -0.525390625, 0.6953125, 1.060546875, -0.212646484375, -0.1278076171875, 0.54541015625, -0.278564453125, -0.1556396484375, 0.5869140625, 0.2474365234375, -0.00496673583984375, -0.408203125, 0.63671875, -0.297119140625, -0.0014028549194335938, 0.00797271728515625, 0.93994140625, 0.5078125, 0.57421875, 0.032928466796875, 0.148681640625, 0.5244140625, 0.935546875, -0.2103271484375, 0.93359375, 0.1737060546875, 0.68701171875, 0.83740234375, 0.56298828125, 0.6015625, 0.2110595703125, 0.64990234375, 0.60986328125, 0.2841796875, 0.0243072509765625, -0.18896484375, 0.32666015625, 0.2178955078125, 0.55615234375, 0.3544921875, 0.5546875, 0.04248046875, 0.1632080078125, -0.272216796875, -0.1590576171875, -0.432861328125, 1.0107421875, 0.09912109375, 0.360107421875, -0.394287109375, -0.454345703125, 0.265869140625, 0.8564453125, -0.6982421875, -0.61474609375, 0.01116180419921875, 0.17724609375, -0.250244140625, -0.35546875, 0.26611328125, 0.69091796875, 0.53125, 0.2998046875, -0.35107421875, -0.48974609375, -0.91943359375, -0.6748046875, -0.67041015625, -0.1954345703125, -0.83544921875, 0.1868896484375, 0.5771484375, -0.55224609375, 0.326171875, -0.5224609375, -0.0650634765625, 0.037994384765625, -0.603515625, 0.414306640625, 0.09539794921875, 0.395751953125, -0.68408203125, 0.625, 0.386962890625, 1.140625, -0.49560546875, -0.432861328125, -0.11859130859375, -0.73779296875, 0.13916015625, 0.515625, 0.355712890625, 0.023681640625, -0.650390625, -1.2177734375, -0.490234375, 0.130126953125, 0.04833984375, 0.3896484375, -0.37890625, 0.80810546875, 0.28955078125, -0.44091796875, 0.456787109375, 0.5029296875, -0.6689453125, 0.1812744140625, 0.300048828125, 0.05267333984375, -0.90283203125, 1.046875, 0.405517578125, 0.142822265625, -0.61865234375, -0.479248046875, -0.4775390625, 0.32861328125, -0.0386962890625, -0.5654296875, -0.254150390625, 0.63330078125, -0.1558837890625, -0.9052734375, 0.58984375, -0.6474609375, -0.5771484375, -0.269775390625, -0.09783935546875, 0.607421875, 0.63916015625, 0.252197265625, -0.08258056640625, 0.311279296875, -0.25634765625, 0.65185546875, 0.480712890625, -0.458740234375, -0.1966552734375, 0.45849609375, -0.0625, -0.13916015625, 0.076416015625, -0.05322265625, 0.2138671875, -0.193359375, 0.2039794921875, 0.595703125, 0.334716796875, 0.1737060546875, 0.1673583984375, 0.6494140625, -0.64013671875, -0.496337890625, -0.0859375, 0.53125, 0.23193359375, 0.387939453125, -0.0193939208984375, -0.282470703125, -0.0819091796875, -1.224609375, 0.625, 0.0245208740234375, 0.9453125, -0.65673828125, 0.96484375, 0.62158203125, -0.37060546875, 0.56787109375, -0.716796875, -0.186279296875, 1.103515625, -0.12030029296875, 1.1591796875, -0.236083984375, -0.024749755859375, 0.076416015625, 0.1656494140625, 0.368896484375, 0.5751953125, 0.284912109375, -0.55810546875, -0.005565643310546875, -0.52099609375, -0.25146484375, -0.1136474609375, -0.533203125, 0.319091796875, -0.3671875, -0.0626220703125, -0.68212890625, 0.2822265625, 0.8251953125, 0.4453125, 0.392578125, 0.43603515625, 0.230712890625, 0.8056640625, 0.55712890625, -0.2049560546875, 0.1845703125, -0.5302734375, 0.9033203125, -0.44775390625, -0.459228515625, -0.76611328125, -0.257568359375, -0.3115234375, 0.309326171875, -0.1658935546875, -0.35107421875, -1.0419921875, 0.60693359375, -0.263671875, 0.7060546875, -0.5517578125, -0.349853515625, -0.1041259765625, 0.3310546875, 0.05621337890625, -0.97998046875, 0.72705078125, -0.7861328125, 0.478515625, 0.404541015625, -0.052459716796875, -0.19091796875, -0.5556640625, -0.60888671875, -0.62890625, 0.492431640625, 0.8203125, -0.0255126953125, 0.0858154296875, -1.1162109375, 0.49951171875, 0.0865478515625, 0.0428466796875, -0.1866455078125, 0.1400146484375, 0.013397216796875, -0.106201171875, 0.54638671875, -0.49853515625, -0.84375, 0.447265625, -1.296875, 0.339599609375, -0.7978515625, 0.7666015625, 0.29541015625, -0.048309326171875, 0.10211181640625, 0.26513671875, -0.374755859375, -0.006679534912109375, -0.442138671875, 0.310302734375, -0.91455078125, -0.5517578125, 0.5810546875, -0.271728515625, -0.2210693359375, 1.08203125, -0.1697998046875, -0.52197265625, 0.1865234375, 0.8291015625, -0.41015625, 0.1845703125, -0.323486328125, 0.69921875, -0.75732421875, -0.6962890625, -0.3681640625, -0.484130859375, 1.0400390625, 0.03369140625, -0.7490234375, -0.1829833984375, -1.08203125, -0.1651611328125, 0.246826171875, -0.53125, 0.231201171875, -0.238525390625, -0.373046875, -0.03216552734375, -0.50390625, -0.487060546875, -0.3857421875, -0.5390625, -0.36572265625, 0.225830078125, 0.16162109375, 0.86376953125, 0.0306396484375, -0.386474609375, 0.121826171875, 0.0732421875, -0.006511688232421875, -0.359130859375, -0.2393798828125, -0.548828125, -0.325439453125, -0.445068359375, -0.0145263671875, 0.2509765625, 0.271484375, 0.3935546875, 0.181884765625, 0.2008056640625, 0.432373046875, -1.0302734375, 0.99755859375, -0.0276947021484375, -0.5966796875, -0.311767578125, 0.61669921875, -0.1866455078125, 0.447021484375, 0.316162109375, -0.74853515625, -0.853515625, -0.7841796875, 0.2430419921875, -0.16259765625, -0.279296875, -0.89501953125, -0.0168304443359375, -0.560546875, 0.30029296875, -0.1480712890625, -0.447265625, 0.14599609375, -0.73828125, -0.302490234375, -0.9228515625, -0.41552734375, -0.787109375, -0.439697265625, -0.111083984375, 0.8623046875, 0.2900390625, 0.4404296875, -0.00814056396484375, -0.01097869873046875, 0.483642578125, -0.36328125, -0.6953125, -0.376953125, -0.207275390625, 0.568359375, -0.0299530029296875, -0.30224609375, -0.5087890625, 0.61181640625, -0.693359375, 0.1973876953125, -0.53955078125, -0.06756591796875, -0.457275390625, -0.407470703125, 1.0576171875, -0.296630859375, -0.276123046875, -0.0151824951171875, 0.849609375, 0.74462890625, -0.6298828125, -0.447509765625, -0.986328125, -0.467041015625, -0.7177734375, 0.53271484375, -0.40478515625, 0.10107421875, -0.6796875, -0.12310791015625, 1.2490234375, -0.64892578125, 0.541015625, 0.818359375, -0.0310821533203125, 0.311279296875, -0.81787109375, 0.60595703125, 0.379150390625, -0.57421875, 0.040435791015625, -0.08001708984375, -0.68017578125, 0.1053466796875, -0.169189453125, -1.26953125, -0.58642578125, 0.50390625, 1.482421875, -0.25830078125, 0.50244140625, 0.2568359375, -1.140625, -0.513671875, 0.93310546875, 0.102294921875, 0.428466796875, 0.93505859375, -0.1580810546875, -0.07061767578125, -0.30517578125, -0.463134765625, -0.33056640625, -0.260498046875, 0.87890625, -0.50927734375, -0.478515625, 0.984375, 0.84326171875, -1.08203125, -0.7451171875, -0.35791015625, -0.1337890625, -0.4951171875, -0.50537109375, 0.0941162109375, 0.39599609375, -0.63916015625, -0.2386474609375, 0.1751708984375, -0.30078125, 0.302978515625, -0.0211944580078125, 0.173828125, -0.54248046875, 0.1656494140625, 0.49658203125, -0.380859375, -0.36083984375, -0.6455078125, 0.275146484375, -0.390625, 0.17041015625, 0.625, -0.00601959228515625, 0.451171875, 0.5185546875, 0.294921875, 0.5703125, -0.441650390625, -0.245849609375, 0.03741455078125, -0.445556640625, -0.33251953125, 0.0218353271484375, 0.399169921875, -0.1656494140625, 0.42626953125, -0.806640625, -0.1292724609375, 0.024261474609375, 0.426025390625, -0.1322021484375, -0.64404296875, 0.0306396484375, -1.232421875, -0.465576171875, -0.496826171875, -0.783203125, -0.258056640625, -0.06793212890625, 0.372802734375, -0.802734375, 0.033111572265625, 0.6484375, -0.290771484375, 0.6259765625, -0.475341796875, 0.22265625, -0.75732421875, -0.30712890625, -0.5517578125, 0.32958984375, -0.2257080078125, 0.0200653076171875, -1.134765625, 0.16064453125, 0.00247955322265625, 0.342529296875, -0.315673828125, 0.47998046875, -0.2705078125, -0.44580078125, 0.10992431640625, -0.12457275390625, -0.10504150390625, 0.66748046875, 0.3828125, 0.22265625, 0.246826171875, -0.0953369140625, -0.60009765625, -0.70068359375, 0.541015625, 0.73828125, -0.369140625, -0.1884765625, -0.37939453125, 0.277587890625, -0.84228515625, 0.4921875, -0.259521484375, -0.02691650390625, -0.09002685546875, -0.2247314453125, 0.62451171875, 1.376953125, -0.06829833984375, 0.2344970703125, -0.31982421875, 0.1951904296875, 0.50830078125, 0.00774383544921875, -0.1859130859375, 0.3642578125, 0.03643798828125, 0.0787353515625, -0.2939453125, 0.6650390625, 0.253173828125, 0.80517578125, 0.01441192626953125, -0.74169921875, -1.1298828125, -0.26953125, 0.2159423828125, 0.7509765625, 0.26416015625, -0.5361328125, -0.2086181640625, -0.2042236328125, -0.32958984375, 0.494873046875, -0.89501953125, -1.109375, 0.1805419921875, 0.1209716796875, -0.61083984375, -0.21142578125, -0.58935546875, -0.0214385986328125, 0.2423095703125, 0.7626953125, -0.4775390625, 0.8818359375, 0.08154296875, 0.33251953125, -0.3037109375, -0.11260986328125, 0.2266845703125, 0.421630859375, -0.463134765625, -0.41259765625, 0.14697265625, 0.92529296875, 0.387939453125, -0.035980224609375, -0.35302734375, 0.17919921875, 0.233154296875, 0.355712890625, -0.70751953125, -0.347900390625, -0.2315673828125, 0.462890625, -0.849609375, 0.05255126953125, -0.3310546875, 0.234619140625, 0.28125, -0.13671875, -0.4716796875, 0.94091796875, 0.91162109375, -0.0780029296875, 0.55126953125, 0.201904296875, 0.447021484375, 0.274658203125, -0.35986328125, -0.410400390625, 0.72509765625, 0.40478515625, 0.7001953125, -0.11602783203125, 0.46875, 0.5498046875, -0.0836181640625, -0.29833984375, 0.64990234375, 0.034942626953125, -0.0889892578125, 0.21826171875, -0.290283203125, -0.054046630859375, 0.07440185546875, -0.5947265625, 0.298583984375, -0.2626953125, -0.07757568359375, -0.126708984375, -0.5302734375, 1.0556640625, -0.57470703125, -0.460205078125, -0.1475830078125, -0.170166015625, 0.33203125, 0.75341796875, -0.040679931640625, -0.1492919921875, 0.75390625, 0.63134765625, 0.50732421875, 0.80322265625, 0.35205078125, 0.34521484375, -0.54443359375, 0.25439453125, -0.1417236328125, 0.0223541259765625, -0.1903076171875, -0.0258331298828125, -1.03515625, 0.5263671875, -0.055206298828125, -0.54638671875, 0.755859375, -0.381591796875, -0.08099365234375, -0.342529296875, 0.4716796875, -0.9208984375, 0.48876953125, 0.376953125, -0.470947265625, -0.6005859375, 1.01953125, -0.1424560546875, 0.35888671875, -0.008941650390625, 1.0966796875, -0.08563232421875, 1.4521484375, 0.1865234375, -0.362548828125, -0.1409912109375, 0.65478515625, -0.284912109375, -0.68115234375, -0.6025390625, -0.45166015625, 0.21923828125, -0.52880859375, -0.17724609375, -0.03631591796875, 0.513671875, 0.1944580078125, -1.1318359375, -0.07269287109375, 0.150146484375, -1.0830078125, 0.407470703125, 0.8359375, 0.10174560546875, 0.0255584716796875, -0.30126953125, -0.1689453125, -0.6416015625, 0.33447265625, -0.57373046875, 0.168701171875, -0.82421875, -0.363037109375, -0.60546875, -0.6298828125, -0.302001953125, -0.1434326171875, -0.29296875, -0.9560546875, 0.517578125, 0.4609375, 0.4013671875, 0.08758544921875, -0.2254638671875, 0.164306640625, 1.0302734375, 0.78857421875, 0.2076416015625, 0.60546875, 0.49853515625, -0.261962890625, 0.29833984375, 0.0919189453125, 0.496826171875, -0.00878143310546875, 0.5068359375, -0.35546875, 0.51123046875, -0.697265625, -1.1728515625, -0.09515380859375, 0.5244140625, 0.548828125, -0.7060546875, -0.71435546875, -0.2178955078125, -0.96728515625, -0.327392578125, -0.401123046875, 0.73779296875, -0.293212890625, -0.10968017578125, 0.24755859375, -1.263671875, 4.4296875, 0.9267578125, 1.2109375, 0.9228515625, 0.039764404296875, 0.92041015625, 0.366943359375, -0.52392578125, 0.062164306640625, -0.1785888671875, 0.465576171875, -0.51513671875, -0.242431640625, 1.1630859375, 0.370361328125, 0.4951171875, -0.441162109375, 0.23486328125, 0.007091522216796875, -0.7734375, -0.99365234375, 0.71337890625, -0.2271728515625, 0.8291015625, 0.11981201171875, 0.041412353515625, 0.454833984375, -0.499267578125, -0.330078125, -0.64599609375, 0.46435546875, -0.56982421875, 0.98291015625, -0.06280517578125, -0.474853515625, 0.43798828125, -0.27490234375, -0.58251953125, -0.2156982421875, 0.2242431640625, 0.1326904296875, 0.1268310546875, 0.7021484375, -0.615234375, 0.09503173828125, 0.1673583984375, -0.8212890625, 0.5341796875, -0.0555419921875, -0.99755859375, 0.5419921875, -0.1988525390625, 0.13916015625, -0.6884765625, -0.82421875, -0.12255859375, 0.2890625, -0.3857421875, -0.32421875, 0.77685546875, 0.5673828125, 0.281005859375, 0.322265625, 0.464111328125, -1.2373046875, 0.63818359375, -0.2066650390625, 0.58349609375, -0.7509765625, -0.25244140625, -0.36376953125, -0.442626953125, -0.427734375, -0.4326171875, 0.331787109375, 0.0810546875, -0.1600341796875, 0.25146484375, 0.33349609375, -0.95458984375, 0.302978515625, 0.2120361328125, -0.23779296875, -0.7099609375, 0.845703125, 1.0556640625, -1.158203125, -0.513671875, -0.185546875, 0.36376953125, 0.58642578125, 0.408447265625, 0.310302734375, -0.5771484375, -0.08148193359375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest. Given the list of strings, output the lexicographically smallest concatenation. Input The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104). Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104. Output Print the only string a — the lexicographically smallest string concatenation. Examples Input 4 abba abacaba bcd er Output abacabaabbabcder Input 5 x xx xxa xxaa xxaaa Output xxaaaxxaaxxaxxx Input 3 c cb cba Output cbacbc Tags: sortings, strings Correct Solution: ``` from functools import cmp_to_key n = int(input()) l = [] for i in range(n): l.append(input()) l.sort(key = cmp_to_key(lambda x,y : 1 if x+y > y+x else -1)) print(''.join(l)) ```
6,241
[ 0.26513671875, -0.370849609375, 0.375, 0.26953125, -0.388671875, -0.414794921875, 0.168212890625, 0.03350830078125, 0.08636474609375, 0.62353515625, 0.75341796875, 0.031707763671875, -0.439208984375, -1.1572265625, -1, -0.1058349609375, -0.599609375, -0.72509765625, -0.31982421875, -0.2166748046875, 0.0396728515625, -0.1954345703125, -1.6796875, 0.303955078125, -0.180419921875, 1.44921875, 0.6337890625, -0.119384765625, 0.93603515625, 0.845703125, -0.38818359375, -0.34423828125, 0.876953125, -1.2353515625, -0.6240234375, -0.46923828125, 0.818359375, -0.55859375, -0.426025390625, -0.366943359375, 0.45556640625, -0.65576171875, 0.431396484375, -0.62744140625, -1.0830078125, 0.10882568359375, -0.12347412109375, -0.27392578125, -0.017913818359375, -0.98681640625, -0.1947021484375, -0.1661376953125, 0.6962890625, -0.2626953125, -0.2509765625, -0.052734375, 0.213623046875, -0.2322998046875, -0.50537109375, 0.51416015625, 0.33544921875, 0.5537109375, 0.056488037109375, -0.367431640625, -0.2093505859375, 0.222412109375, -0.0401611328125, -0.4404296875, -0.1649169921875, -1.087890625, -0.296630859375, 0.15625, -0.473388671875, -0.63427734375, -0.29931640625, -0.038970947265625, 0.265625, -0.276611328125, -0.283203125, 0.69189453125, 0.2958984375, 0.82373046875, -0.061737060546875, 0.2249755859375, -0.4775390625, -0.55224609375, -0.26318359375, 0.211669921875, 0.421630859375, 0.09649658203125, -0.0911865234375, 0.63916015625, -0.474609375, 0.0745849609375, 0.66455078125, 0.312744140625, -0.279541015625, 0.234375, 0.403564453125, 0.6484375, 0.623046875, 0.9091796875, -0.3046875, 0.92333984375, -0.41943359375, 0.034271240234375, -0.4423828125, -0.1905517578125, -0.34814453125, 0.1859130859375, -0.55029296875, -0.45703125, 0.55908203125, 0.1990966796875, -0.189697265625, 0.9580078125, 0.04461669921875, 0.315185546875, -0.84619140625, 0.382568359375, 0.45361328125, 0.3720703125, 0.53564453125, -0.439453125, -0.08843994140625, -0.52880859375, -0.65771484375, 0.86083984375, -0.6533203125, 0.1756591796875, 0.353759765625, 0.271728515625, 0.045745849609375, 0.434326171875, 0.118408203125, 0.724609375, -0.0631103515625, 0.78076171875, 0.65234375, -0.56298828125, 0.72265625, -0.64208984375, -0.259033203125, 1.173828125, 0.434814453125, 0.1458740234375, 0.9189453125, 0.29638671875, -0.69970703125, 0.3740234375, -0.93359375, 0.62060546875, 0.421630859375, 0.07958984375, 0.03173828125, 0.1253662109375, -0.272705078125, 0.297119140625, 0.396484375, 0.33984375, -0.2919921875, -0.1593017578125, -0.330810546875, 0.3916015625, -0.5380859375, 0.75927734375, -0.65966796875, -0.27197265625, -0.18212890625, -0.490966796875, -0.147705078125, -0.32080078125, -0.06890869140625, 0.86083984375, 0.67822265625, 0.93603515625, 0.8857421875, -0.147216796875, 0.39599609375, 0.215576171875, -0.397705078125, 0.485595703125, 0.06951904296875, 0.6181640625, 0.1795654296875, 0.401123046875, 0.322265625, -0.3134765625, -0.74072265625, -1.0361328125, -0.0582275390625, 0.78857421875, -0.457763671875, 0.28466796875, -0.346923828125, 0.08013916015625, -0.495361328125, -0.271484375, -0.030487060546875, -0.9375, -0.40283203125, 0.31591796875, -0.251220703125, 0.182861328125, -0.8623046875, -0.48974609375, 0.681640625, 1.0634765625, -0.208251953125, -0.11102294921875, 0.59423828125, -0.291015625, -0.09429931640625, 0.5625, 0.28515625, -0.0007581710815429688, -0.387939453125, 0.6396484375, -0.310791015625, -0.0056304931640625, 0.01071929931640625, 0.966796875, 0.474853515625, 0.509765625, 0.01690673828125, 0.1544189453125, 0.53955078125, 0.98486328125, -0.22314453125, 0.9130859375, 0.15478515625, 0.69873046875, 0.8974609375, 0.52099609375, 0.60400390625, 0.276123046875, 0.62158203125, 0.630859375, 0.286376953125, 0.0169677734375, -0.2171630859375, 0.33740234375, 0.1966552734375, 0.53759765625, 0.328125, 0.5791015625, 0.032623291015625, 0.197021484375, -0.319580078125, -0.11505126953125, -0.443359375, 1.0419921875, 0.154296875, 0.343994140625, -0.376953125, -0.474365234375, 0.281494140625, 0.87060546875, -0.671875, -0.65478515625, 0.041046142578125, 0.136962890625, -0.24169921875, -0.3115234375, 0.2919921875, 0.74072265625, 0.53466796875, 0.28466796875, -0.38671875, -0.418212890625, -0.93798828125, -0.6923828125, -0.6865234375, -0.1839599609375, -0.8251953125, 0.2130126953125, 0.6142578125, -0.541015625, 0.3193359375, -0.51953125, -0.0531005859375, -0.01458740234375, -0.65087890625, 0.383056640625, 0.09674072265625, 0.4404296875, -0.62060546875, 0.61865234375, 0.396240234375, 1.1796875, -0.5341796875, -0.389404296875, -0.108642578125, -0.71923828125, 0.180908203125, 0.475830078125, 0.319580078125, 0.0183868408203125, -0.646484375, -1.267578125, -0.44140625, 0.130859375, 0.08587646484375, 0.3662109375, -0.337890625, 0.81982421875, 0.328369140625, -0.4765625, 0.4462890625, 0.50146484375, -0.6728515625, 0.16796875, 0.324462890625, 0.057037353515625, -0.908203125, 1.0341796875, 0.38720703125, 0.12347412109375, -0.583984375, -0.4853515625, -0.49560546875, 0.35595703125, -0.054901123046875, -0.58935546875, -0.2469482421875, 0.62158203125, -0.18603515625, -0.89794921875, 0.59912109375, -0.67431640625, -0.59228515625, -0.279052734375, -0.0565185546875, 0.583984375, 0.64892578125, 0.3154296875, -0.1177978515625, 0.31005859375, -0.2724609375, 0.6337890625, 0.5302734375, -0.470703125, -0.2425537109375, 0.46240234375, -0.045318603515625, -0.1485595703125, 0.1258544921875, -0.0712890625, 0.2432861328125, -0.19482421875, 0.1937255859375, 0.6103515625, 0.324951171875, 0.1588134765625, 0.190673828125, 0.68017578125, -0.62841796875, -0.494384765625, -0.0850830078125, 0.56201171875, 0.2254638671875, 0.407470703125, -0.01448822021484375, -0.2435302734375, -0.08660888671875, -1.240234375, 0.6279296875, -0.0031261444091796875, 0.951171875, -0.64892578125, 0.93017578125, 0.62451171875, -0.392333984375, 0.55908203125, -0.7080078125, -0.140380859375, 1.09765625, -0.1114501953125, 1.1474609375, -0.241455078125, -0.09332275390625, 0.06805419921875, 0.192626953125, 0.392578125, 0.61767578125, 0.30908203125, -0.501953125, 0.0281829833984375, -0.479248046875, -0.223388671875, -0.1204833984375, -0.494873046875, 0.324462890625, -0.370361328125, -0.10308837890625, -0.6357421875, 0.274169921875, 0.86181640625, 0.419189453125, 0.384765625, 0.422607421875, 0.2474365234375, 0.81005859375, 0.587890625, -0.22998046875, 0.1878662109375, -0.54345703125, 0.974609375, -0.35693359375, -0.467529296875, -0.71044921875, -0.289794921875, -0.324951171875, 0.323486328125, -0.1724853515625, -0.330078125, -1.0439453125, 0.6064453125, -0.2371826171875, 0.69677734375, -0.59326171875, -0.358154296875, -0.09808349609375, 0.316650390625, 0.03509521484375, -0.99658203125, 0.76416015625, -0.80517578125, 0.453857421875, 0.402099609375, -0.03533935546875, -0.2420654296875, -0.54296875, -0.58056640625, -0.66162109375, 0.56201171875, 0.83740234375, -0.0335693359375, 0.01995849609375, -1.14453125, 0.46923828125, 0.1077880859375, 0.05517578125, -0.1376953125, 0.055450439453125, 0.026580810546875, -0.11981201171875, 0.49365234375, -0.485107421875, -0.86083984375, 0.452880859375, -1.2890625, 0.381591796875, -0.76904296875, 0.78955078125, 0.264404296875, -0.031158447265625, 0.1385498046875, 0.26611328125, -0.292724609375, -0.03497314453125, -0.44775390625, 0.275634765625, -0.89453125, -0.57421875, 0.5908203125, -0.251953125, -0.261962890625, 1.1220703125, -0.17724609375, -0.50732421875, 0.2159423828125, 0.845703125, -0.380859375, 0.16943359375, -0.2763671875, 0.67724609375, -0.7314453125, -0.65869140625, -0.384521484375, -0.501953125, 1.068359375, 0.035003662109375, -0.7705078125, -0.2177734375, -1.09375, -0.18115234375, 0.2464599609375, -0.533203125, 0.218017578125, -0.26416015625, -0.403076171875, -0.04583740234375, -0.521484375, -0.54541015625, -0.4130859375, -0.51806640625, -0.341552734375, 0.2467041015625, 0.1802978515625, 0.85302734375, 0.07122802734375, -0.406982421875, 0.1328125, 0.056365966796875, 0.0005788803100585938, -0.347412109375, -0.2493896484375, -0.52099609375, -0.31201171875, -0.403076171875, -0.01293182373046875, 0.284423828125, 0.30126953125, 0.43212890625, 0.2294921875, 0.2220458984375, 0.4345703125, -1.0458984375, 0.96875, -0.049530029296875, -0.59228515625, -0.355712890625, 0.65625, -0.1961669921875, 0.4658203125, 0.320556640625, -0.77392578125, -0.85498046875, -0.7998046875, 0.267333984375, -0.133544921875, -0.28759765625, -0.8828125, -0.0296173095703125, -0.56005859375, 0.336181640625, -0.1502685546875, -0.442138671875, 0.0521240234375, -0.75439453125, -0.337158203125, -0.90234375, -0.4287109375, -0.84765625, -0.385009765625, -0.06585693359375, 0.84326171875, 0.24951171875, 0.45166015625, -0.0271759033203125, 0.043243408203125, 0.50390625, -0.34619140625, -0.68310546875, -0.434326171875, -0.2083740234375, 0.53759765625, -0.0185089111328125, -0.30615234375, -0.51416015625, 0.5830078125, -0.6728515625, 0.1982421875, -0.54833984375, -0.074951171875, -0.42529296875, -0.427978515625, 1.0654296875, -0.262451171875, -0.308349609375, -0.0250244140625, 0.826171875, 0.73779296875, -0.60400390625, -0.435546875, -0.94970703125, -0.45263671875, -0.74560546875, 0.5224609375, -0.4267578125, 0.123291015625, -0.68701171875, -0.1351318359375, 1.234375, -0.61474609375, 0.57275390625, 0.8212890625, -0.035491943359375, 0.3115234375, -0.82470703125, 0.5703125, 0.395263671875, -0.5673828125, -0.0178070068359375, -0.107177734375, -0.73291015625, 0.1488037109375, -0.1038818359375, -1.2109375, -0.56640625, 0.489013671875, 1.4716796875, -0.275634765625, 0.5107421875, 0.275390625, -1.146484375, -0.54345703125, 0.90966796875, 0.1033935546875, 0.3994140625, 0.89208984375, -0.1839599609375, -0.08685302734375, -0.3359375, -0.4658203125, -0.36083984375, -0.2049560546875, 0.91748046875, -0.5166015625, -0.46435546875, 0.95703125, 0.83154296875, -1.09765625, -0.78857421875, -0.363525390625, -0.11212158203125, -0.505859375, -0.489013671875, 0.12237548828125, 0.34765625, -0.6669921875, -0.233154296875, 0.171142578125, -0.320556640625, 0.3125, -0.0167694091796875, 0.198486328125, -0.51220703125, 0.156494140625, 0.50341796875, -0.382080078125, -0.3427734375, -0.65771484375, 0.297607421875, -0.3876953125, 0.1929931640625, 0.61962890625, -0.02374267578125, 0.449951171875, 0.50244140625, 0.261962890625, 0.5654296875, -0.458984375, -0.250244140625, 0.05889892578125, -0.422119140625, -0.35009765625, 0.0177459716796875, 0.425048828125, -0.1768798828125, 0.413330078125, -0.82373046875, -0.105224609375, 0.0491943359375, 0.404296875, -0.0789794921875, -0.62939453125, 0.073486328125, -1.251953125, -0.4462890625, -0.537109375, -0.76416015625, -0.2474365234375, -0.06640625, 0.3759765625, -0.84326171875, 0.0311737060546875, 0.65185546875, -0.301513671875, 0.57861328125, -0.52783203125, 0.251953125, -0.7890625, -0.252685546875, -0.54541015625, 0.27880859375, -0.237060546875, 0.04327392578125, -1.1767578125, 0.15087890625, -0.047149658203125, 0.3984375, -0.31640625, 0.45263671875, -0.302734375, -0.444580078125, 0.08551025390625, -0.10491943359375, -0.149658203125, 0.6064453125, 0.398681640625, 0.1519775390625, 0.234619140625, -0.06964111328125, -0.65185546875, -0.69677734375, 0.5439453125, 0.734375, -0.394287109375, -0.1654052734375, -0.368408203125, 0.298095703125, -0.8369140625, 0.47021484375, -0.276611328125, -0.0296630859375, -0.054473876953125, -0.238037109375, 0.6396484375, 1.37109375, -0.1065673828125, 0.2646484375, -0.3291015625, 0.209716796875, 0.515625, 0.0191802978515625, -0.174072265625, 0.364501953125, 0.05804443359375, 0.052642822265625, -0.31591796875, 0.6953125, 0.259521484375, 0.7919921875, 0.01320648193359375, -0.7607421875, -1.1630859375, -0.26806640625, 0.210693359375, 0.77197265625, 0.257568359375, -0.50732421875, -0.2705078125, -0.204833984375, -0.311279296875, 0.52001953125, -0.9072265625, -1.111328125, 0.195556640625, 0.1182861328125, -0.61376953125, -0.1973876953125, -0.59912109375, -0.0032558441162109375, 0.2352294921875, 0.7431640625, -0.494873046875, 0.91845703125, 0.0792236328125, 0.2685546875, -0.29638671875, -0.0823974609375, 0.2296142578125, 0.376220703125, -0.4873046875, -0.3818359375, 0.1466064453125, 0.95751953125, 0.4267578125, -0.036590576171875, -0.359619140625, 0.1695556640625, 0.1978759765625, 0.33349609375, -0.69677734375, -0.370361328125, -0.2861328125, 0.437255859375, -0.86865234375, -0.007755279541015625, -0.32958984375, 0.224853515625, 0.258056640625, -0.1373291015625, -0.448486328125, 0.9521484375, 0.91064453125, -0.07470703125, 0.53759765625, 0.19140625, 0.4052734375, 0.2685546875, -0.377197265625, -0.480712890625, 0.71484375, 0.421875, 0.69677734375, -0.10443115234375, 0.486083984375, 0.59228515625, -0.0908203125, -0.327880859375, 0.66357421875, 0.05267333984375, -0.07568359375, 0.1767578125, -0.3076171875, -0.10980224609375, 0.069091796875, -0.55908203125, 0.2939453125, -0.271240234375, -0.1357421875, -0.101806640625, -0.5234375, 1.1083984375, -0.548828125, -0.455810546875, -0.1754150390625, -0.11114501953125, 0.348876953125, 0.77294921875, -0.007228851318359375, -0.169189453125, 0.76123046875, 0.64794921875, 0.58349609375, 0.82666015625, 0.366943359375, 0.284423828125, -0.576171875, 0.2083740234375, -0.1544189453125, -0.015899658203125, -0.1719970703125, 0.024444580078125, -1.005859375, 0.53271484375, -0.054229736328125, -0.5537109375, 0.7734375, -0.36669921875, -0.0772705078125, -0.364013671875, 0.47314453125, -0.94482421875, 0.52001953125, 0.3525390625, -0.47802734375, -0.5693359375, 1.0048828125, -0.1790771484375, 0.338134765625, -0.032135009765625, 1.0634765625, -0.07794189453125, 1.3994140625, 0.19091796875, -0.367431640625, -0.1776123046875, 0.6943359375, -0.2298583984375, -0.72265625, -0.57666015625, -0.39111328125, 0.217041015625, -0.55322265625, -0.206787109375, -0.032257080078125, 0.53857421875, 0.16796875, -1.1669921875, -0.0814208984375, 0.1343994140625, -1.123046875, 0.39990234375, 0.86328125, 0.128173828125, 0.08837890625, -0.28271484375, -0.19775390625, -0.685546875, 0.292724609375, -0.580078125, 0.2301025390625, -0.83935546875, -0.412109375, -0.6044921875, -0.6005859375, -0.302490234375, -0.221923828125, -0.2861328125, -0.9580078125, 0.5380859375, 0.460693359375, 0.42333984375, 0.05828857421875, -0.2242431640625, 0.152587890625, 1.0205078125, 0.80322265625, 0.232177734375, 0.61572265625, 0.533203125, -0.252197265625, 0.26513671875, 0.121337890625, 0.466552734375, 0.0021839141845703125, 0.488525390625, -0.370361328125, 0.5185546875, -0.7314453125, -1.1494140625, -0.07952880859375, 0.52880859375, 0.55224609375, -0.7255859375, -0.6953125, -0.267822265625, -0.98486328125, -0.32421875, -0.399658203125, 0.71484375, -0.280517578125, -0.09429931640625, 0.274658203125, -1.2685546875, 4.40625, 0.9404296875, 1.205078125, 0.90283203125, 0.05902099609375, 0.9482421875, 0.391845703125, -0.58984375, 0.043121337890625, -0.1800537109375, 0.458251953125, -0.5166015625, -0.2359619140625, 1.1767578125, 0.44091796875, 0.51904296875, -0.45751953125, 0.265380859375, -0.0302734375, -0.7802734375, -1.0302734375, 0.74951171875, -0.1866455078125, 0.8828125, 0.12841796875, 0.055389404296875, 0.45703125, -0.455078125, -0.38818359375, -0.69482421875, 0.50537109375, -0.583984375, 0.95849609375, -0.1015625, -0.4892578125, 0.396728515625, -0.27587890625, -0.55517578125, -0.2344970703125, 0.2451171875, 0.14794921875, 0.1024169921875, 0.720703125, -0.6298828125, 0.1453857421875, 0.1531982421875, -0.7890625, 0.54833984375, -0.0799560546875, -0.99853515625, 0.51416015625, -0.2003173828125, 0.0894775390625, -0.71044921875, -0.81201171875, -0.11138916015625, 0.254150390625, -0.427978515625, -0.30078125, 0.802734375, 0.61083984375, 0.281005859375, 0.32763671875, 0.469970703125, -1.267578125, 0.61474609375, -0.21337890625, 0.61572265625, -0.7529296875, -0.234130859375, -0.377197265625, -0.418212890625, -0.41943359375, -0.43798828125, 0.27001953125, 0.13623046875, -0.152099609375, 0.2169189453125, 0.35498046875, -0.99169921875, 0.297607421875, 0.206787109375, -0.210205078125, -0.73828125, 0.83447265625, 1.0576171875, -1.16015625, -0.52392578125, -0.1962890625, 0.406494140625, 0.580078125, 0.413330078125, 0.28857421875, -0.5771484375, -0.12261962890625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest. Given the list of strings, output the lexicographically smallest concatenation. Input The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104). Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104. Output Print the only string a — the lexicographically smallest string concatenation. Examples Input 4 abba abacaba bcd er Output abacabaabbabcder Input 5 x xx xxa xxaa xxaaa Output xxaaaxxaaxxaxxx Input 3 c cb cba Output cbacbc Tags: sortings, strings Correct Solution: ``` # List = [[10,1],[20,2],[10,3]] --> Initial # List = [[10, 1], [10, 3], [20, 2]] --> Normal Sort # List = [[10, 3], [10, 1], [20, 2]] --> Sort with custom key [ascending, descending] from functools import cmp_to_key def custom(x,y): a = x +y b = y+ x if(a < b): return -1 elif(b < a): return 1 else: return 0 n = int(input()) arr = [] for i in range(n): s = input() arr.append(s) # arr.sort(key = cmp) arr.sort(key = cmp_to_key(custom)) # print(arr) ans = "" for i in arr: ans += i print(ans) ```
6,242
[ 0.1585693359375, -0.386474609375, 0.264892578125, 0.1685791015625, -0.365478515625, -0.416015625, -0.0380859375, 0.1824951171875, 0.0016660690307617188, 0.68505859375, 0.72802734375, -0.0294952392578125, -0.29638671875, -1.232421875, -0.9423828125, -0.025238037109375, -0.56640625, -0.705078125, -0.2470703125, -0.11407470703125, -0.04150390625, -0.1763916015625, -1.7705078125, 0.2205810546875, -0.349609375, 1.392578125, 0.548828125, -0.1365966796875, 0.98193359375, 0.7822265625, -0.28369140625, -0.357421875, 0.70458984375, -1.1728515625, -0.59814453125, -0.453857421875, 0.955078125, -0.564453125, -0.39697265625, -0.3515625, 0.434814453125, -0.67822265625, 0.37451171875, -0.6328125, -1.0478515625, 0.2152099609375, -0.104248046875, -0.25927734375, 0.03790283203125, -1.0224609375, -0.15869140625, -0.19189453125, 0.7451171875, -0.208984375, -0.1812744140625, -0.079345703125, 0.287109375, -0.287841796875, -0.55029296875, 0.51318359375, 0.24951171875, 0.49951171875, -0.03546142578125, -0.3046875, -0.1475830078125, 0.2269287109375, 0.0697021484375, -0.426513671875, -0.2376708984375, -1.1201171875, -0.349365234375, 0.223388671875, -0.460693359375, -0.5234375, -0.274658203125, 0.00658416748046875, 0.218994140625, -0.248779296875, -0.298095703125, 0.74951171875, 0.2919921875, 0.85205078125, -0.09686279296875, 0.1494140625, -0.438720703125, -0.482177734375, -0.2353515625, 0.220703125, 0.3896484375, 0.119873046875, -0.08502197265625, 0.57568359375, -0.5029296875, -0.046905517578125, 0.7138671875, 0.474609375, -0.25439453125, 0.297119140625, 0.451904296875, 0.59716796875, 0.6904296875, 0.90771484375, -0.2386474609375, 0.92919921875, -0.301513671875, 0.05841064453125, -0.322509765625, -0.1988525390625, -0.3291015625, 0.050994873046875, -0.47509765625, -0.40576171875, 0.49853515625, 0.208740234375, -0.066162109375, 1.048828125, -0.0443115234375, 0.31787109375, -0.89111328125, 0.370849609375, 0.55419921875, 0.32763671875, 0.45263671875, -0.43505859375, -0.06866455078125, -0.61083984375, -0.63720703125, 0.89697265625, -0.6240234375, 0.1260986328125, 0.5244140625, 0.28955078125, 0.0222320556640625, 0.443359375, 0.11083984375, 0.7041015625, -0.11090087890625, 0.70849609375, 0.58251953125, -0.75732421875, 0.72998046875, -0.54345703125, -0.326171875, 1.2099609375, 0.32421875, 0.11090087890625, 0.79052734375, 0.337158203125, -0.79541015625, 0.311279296875, -0.96875, 0.5673828125, 0.373779296875, 0.109375, 0.134033203125, 0.1651611328125, -0.29052734375, 0.2496337890625, 0.427490234375, 0.30517578125, -0.24658203125, -0.1817626953125, -0.1513671875, 0.480712890625, -0.50390625, 0.81591796875, -0.6064453125, -0.376220703125, -0.276611328125, -0.387451171875, -0.130859375, -0.46630859375, -0.1324462890625, 0.80224609375, 0.607421875, 1.0234375, 0.96923828125, -0.13916015625, 0.32470703125, 0.1741943359375, -0.470947265625, 0.470458984375, 0.052093505859375, 0.58984375, 0.08258056640625, 0.390380859375, 0.1458740234375, -0.343017578125, -0.69091796875, -0.9736328125, -0.076416015625, 0.80615234375, -0.53759765625, 0.1802978515625, -0.388916015625, 0.08026123046875, -0.436279296875, -0.2479248046875, -0.00478363037109375, -0.947265625, -0.392333984375, 0.277099609375, -0.176025390625, 0.28173828125, -0.8623046875, -0.49951171875, 0.76708984375, 1.0771484375, -0.310791015625, -0.12164306640625, 0.5927734375, -0.281005859375, -0.2396240234375, 0.4970703125, 0.243896484375, 0.09759521484375, -0.418212890625, 0.5458984375, -0.38037109375, 0.0259552001953125, 0.0294342041015625, 0.90234375, 0.6650390625, 0.51416015625, -0.06231689453125, 0.110595703125, 0.55908203125, 1.076171875, -0.1778564453125, 0.931640625, 0.2216796875, 0.72216796875, 0.85400390625, 0.55810546875, 0.62353515625, 0.2384033203125, 0.5830078125, 0.57666015625, 0.241943359375, 0.0623779296875, -0.1466064453125, 0.36474609375, 0.1358642578125, 0.669921875, 0.380859375, 0.572265625, 0.025421142578125, 0.209716796875, -0.260986328125, -0.08062744140625, -0.453857421875, 0.95361328125, 0.1287841796875, 0.4052734375, -0.3134765625, -0.48681640625, 0.2373046875, 0.80078125, -0.65625, -0.568359375, 0.043487548828125, 0.1593017578125, -0.2783203125, -0.259521484375, 0.2060546875, 0.68994140625, 0.459716796875, 0.26904296875, -0.32763671875, -0.51904296875, -0.90869140625, -0.77294921875, -0.59228515625, -0.2489013671875, -0.73046875, 0.2010498046875, 0.67138671875, -0.45947265625, 0.298095703125, -0.45361328125, -0.0011196136474609375, -0.08843994140625, -0.491943359375, 0.505859375, 0.1669921875, 0.39404296875, -0.67041015625, 0.53173828125, 0.34521484375, 1.1220703125, -0.6298828125, -0.409912109375, -0.04791259765625, -0.6728515625, 0.118896484375, 0.432373046875, 0.35400390625, 0.0863037109375, -0.57373046875, -1.2392578125, -0.35888671875, 0.228515625, 0.0013170242309570312, 0.450927734375, -0.315673828125, 0.89453125, 0.27392578125, -0.478515625, 0.39501953125, 0.4599609375, -0.6181640625, 0.288818359375, 0.3291015625, 0.00031065940856933594, -0.94287109375, 1.033203125, 0.29736328125, 0.19873046875, -0.70263671875, -0.60302734375, -0.64111328125, 0.387451171875, -0.0011110305786132812, -0.658203125, -0.30419921875, 0.62158203125, -0.2225341796875, -0.9267578125, 0.56884765625, -0.55615234375, -0.57470703125, -0.145263671875, -0.024566650390625, 0.446533203125, 0.58349609375, 0.352783203125, 0.0026340484619140625, 0.317626953125, -0.437255859375, 0.56298828125, 0.4580078125, -0.443603515625, -0.380859375, 0.405517578125, 0.006076812744140625, -0.007366180419921875, 0.1749267578125, -0.1842041015625, 0.247802734375, -0.3232421875, 0.215576171875, 0.4716796875, 0.381103515625, 0.220703125, 0.2484130859375, 0.708984375, -0.53759765625, -0.55908203125, -0.040618896484375, 0.499755859375, 0.275146484375, 0.382080078125, -0.07501220703125, -0.310791015625, -0.0687255859375, -1.1640625, 0.56689453125, 0.11773681640625, 0.9638671875, -0.73876953125, 0.859375, 0.69384765625, -0.390869140625, 0.5283203125, -0.77197265625, -0.2110595703125, 1.0654296875, -0.12054443359375, 1.0703125, -0.312744140625, -0.050262451171875, 0.055999755859375, 0.284912109375, 0.51708984375, 0.58837890625, 0.2880859375, -0.447265625, 0.05621337890625, -0.47900390625, -0.32373046875, -0.025604248046875, -0.4345703125, 0.376220703125, -0.264892578125, -0.144775390625, -0.59033203125, 0.365478515625, 0.826171875, 0.437255859375, 0.414794921875, 0.55224609375, 0.306640625, 0.728515625, 0.65673828125, -0.288330078125, 0.153564453125, -0.6513671875, 0.94970703125, -0.281005859375, -0.48779296875, -0.70556640625, -0.3515625, -0.38525390625, 0.312255859375, -0.11920166015625, -0.22021484375, -1.0908203125, 0.50732421875, -0.2259521484375, 0.62939453125, -0.5224609375, -0.4345703125, -0.2078857421875, 0.3046875, 0.12548828125, -1.0791015625, 0.71142578125, -0.91259765625, 0.5, 0.365234375, -0.1422119140625, -0.284912109375, -0.56982421875, -0.56884765625, -0.6123046875, 0.5625, 0.7119140625, 0.0169525146484375, 0.039947509765625, -1.021484375, 0.391845703125, 0.129150390625, 0.10064697265625, -0.03363037109375, 0.1534423828125, -0.0189208984375, -0.0687255859375, 0.4345703125, -0.484130859375, -0.77685546875, 0.52001953125, -1.3037109375, 0.407958984375, -0.67578125, 0.892578125, 0.298095703125, 0.0281219482421875, 0.1920166015625, 0.310546875, -0.326904296875, -0.017822265625, -0.40283203125, 0.253662109375, -0.94775390625, -0.62353515625, 0.529296875, -0.293701171875, -0.20947265625, 1.06640625, -0.1470947265625, -0.54541015625, 0.177978515625, 0.79736328125, -0.453125, 0.218017578125, -0.253173828125, 0.7802734375, -0.6728515625, -0.55810546875, -0.380859375, -0.52880859375, 1.1171875, 0.037109375, -0.80517578125, -0.196533203125, -1.2021484375, -0.1793212890625, 0.317626953125, -0.544921875, 0.2457275390625, -0.26416015625, -0.372802734375, -0.10333251953125, -0.440185546875, -0.50830078125, -0.383056640625, -0.48583984375, -0.36669921875, 0.258056640625, 0.228271484375, 0.72412109375, -0.0034580230712890625, -0.5205078125, 0.1358642578125, 0.09320068359375, 0.0203857421875, -0.33984375, -0.164306640625, -0.468994140625, -0.39599609375, -0.45458984375, -0.06793212890625, 0.38916015625, 0.344482421875, 0.346435546875, 0.2252197265625, 0.2188720703125, 0.40673828125, -1.01171875, 0.96728515625, -0.026824951171875, -0.68408203125, -0.354248046875, 0.65576171875, -0.1826171875, 0.5908203125, 0.206787109375, -0.75830078125, -0.8408203125, -0.83154296875, 0.186767578125, -0.159423828125, -0.260986328125, -0.83203125, -0.1116943359375, -0.59765625, 0.5087890625, -0.2154541015625, -0.44189453125, 0.1290283203125, -0.8076171875, -0.350830078125, -0.794921875, -0.521484375, -0.78369140625, -0.406982421875, -0.1124267578125, 0.8310546875, 0.333740234375, 0.420166015625, 0.06396484375, -0.08184814453125, 0.459716796875, -0.317138671875, -0.7646484375, -0.240234375, -0.1265869140625, 0.58984375, 0.046600341796875, -0.271484375, -0.455810546875, 0.61962890625, -0.88720703125, 0.242919921875, -0.49951171875, -0.019561767578125, -0.350341796875, -0.447265625, 1.0625, -0.260498046875, -0.2449951171875, 0.05694580078125, 0.7978515625, 0.81298828125, -0.5810546875, -0.493408203125, -0.9609375, -0.47216796875, -0.7265625, 0.60498046875, -0.4599609375, 0.031005859375, -0.60400390625, -0.158935546875, 1.291015625, -0.65869140625, 0.5537109375, 0.8896484375, -0.1531982421875, 0.326416015625, -0.8525390625, 0.66162109375, 0.38330078125, -0.68310546875, 0.12127685546875, -0.034393310546875, -0.6611328125, 0.06842041015625, -0.1546630859375, -1.193359375, -0.548828125, 0.46826171875, 1.48046875, -0.263671875, 0.64453125, 0.268798828125, -1.0703125, -0.479248046875, 0.86669921875, 0.07916259765625, 0.334716796875, 0.9609375, -0.1044921875, -0.0341796875, -0.342529296875, -0.479736328125, -0.387451171875, -0.1785888671875, 0.9853515625, -0.448486328125, -0.487060546875, 0.81982421875, 0.79931640625, -1.07421875, -0.77685546875, -0.41650390625, -0.1268310546875, -0.26611328125, -0.576171875, 0.2095947265625, 0.356201171875, -0.697265625, -0.19384765625, 0.1502685546875, -0.383544921875, 0.276611328125, -0.000016987323760986328, 0.263671875, -0.515625, 0.1717529296875, 0.5859375, -0.401611328125, -0.324951171875, -0.75341796875, 0.2301025390625, -0.351318359375, 0.12939453125, 0.6455078125, -0.0276641845703125, 0.5595703125, 0.5576171875, 0.311279296875, 0.66064453125, -0.487060546875, -0.1915283203125, 0.0095367431640625, -0.48388671875, -0.3671875, -0.041412353515625, 0.441650390625, -0.22998046875, 0.33544921875, -0.76953125, 0.0234222412109375, 0.00615692138671875, 0.466796875, -0.07794189453125, -0.650390625, -0.0750732421875, -1.1494140625, -0.61328125, -0.49755859375, -0.78564453125, -0.2099609375, -0.0672607421875, 0.33251953125, -0.7998046875, 0.1334228515625, 0.6630859375, -0.391357421875, 0.62744140625, -0.497314453125, 0.2410888671875, -0.80078125, -0.2493896484375, -0.599609375, 0.294921875, -0.20556640625, 0.09716796875, -1.0654296875, 0.2467041015625, -0.004138946533203125, 0.29541015625, -0.2174072265625, 0.3896484375, -0.292236328125, -0.5458984375, 0.1466064453125, -0.12890625, -0.17529296875, 0.59765625, 0.493896484375, 0.138427734375, 0.2152099609375, -0.1376953125, -0.6201171875, -0.66015625, 0.466552734375, 0.72021484375, -0.37744140625, -0.11767578125, -0.302490234375, 0.377197265625, -0.80419921875, 0.30615234375, -0.2958984375, 0.035980224609375, 0.09112548828125, -0.293701171875, 0.6240234375, 1.3173828125, -0.10076904296875, 0.214599609375, -0.1995849609375, 0.2327880859375, 0.4453125, -0.0254974365234375, -0.1585693359375, 0.320068359375, 0.055419921875, -0.0297393798828125, -0.2039794921875, 0.74169921875, 0.283203125, 0.8642578125, -0.1123046875, -0.7841796875, -1.1494140625, -0.218505859375, 0.10003662109375, 0.71435546875, 0.272705078125, -0.4521484375, -0.224609375, -0.171630859375, -0.411865234375, 0.50732421875, -0.8642578125, -1.1787109375, 0.247802734375, 0.039520263671875, -0.53955078125, -0.1806640625, -0.64794921875, -0.00567626953125, 0.2587890625, 0.85107421875, -0.498779296875, 0.87890625, 0.1944580078125, 0.3310546875, -0.1851806640625, -0.054718017578125, 0.266845703125, 0.42333984375, -0.56640625, -0.251220703125, 0.0814208984375, 0.89794921875, 0.436279296875, -0.07037353515625, -0.35986328125, 0.2249755859375, 0.29052734375, 0.382080078125, -0.84375, -0.26025390625, -0.2420654296875, 0.432373046875, -0.9228515625, 0.034942626953125, -0.30517578125, 0.337158203125, 0.285888671875, -0.08563232421875, -0.50341796875, 0.908203125, 0.8818359375, -0.173583984375, 0.5498046875, 0.233154296875, 0.3388671875, 0.2354736328125, -0.360595703125, -0.43701171875, 0.7080078125, 0.408935546875, 0.71044921875, -0.0307769775390625, 0.36181640625, 0.66845703125, -0.06866455078125, -0.364013671875, 0.625, 0.08349609375, -0.11212158203125, 0.2298583984375, -0.249755859375, -0.10235595703125, 0.14013671875, -0.5126953125, 0.2283935546875, -0.25830078125, -0.0714111328125, -0.13720703125, -0.52783203125, 1.1025390625, -0.52099609375, -0.488525390625, -0.128662109375, -0.2264404296875, 0.41015625, 0.8291015625, 0.037628173828125, -0.1636962890625, 0.6923828125, 0.71728515625, 0.58642578125, 0.8818359375, 0.2978515625, 0.337646484375, -0.5693359375, 0.224853515625, -0.275634765625, -0.049224853515625, -0.2005615234375, -0.01070404052734375, -0.91748046875, 0.501953125, 0.05499267578125, -0.6591796875, 0.689453125, -0.38134765625, -0.01061248779296875, -0.301025390625, 0.478271484375, -1.025390625, 0.5341796875, 0.367431640625, -0.5126953125, -0.57861328125, 0.9375, -0.1878662109375, 0.37353515625, 0.0821533203125, 0.9951171875, -0.05096435546875, 1.4384765625, 0.1329345703125, -0.4228515625, -0.228759765625, 0.5947265625, -0.2408447265625, -0.76171875, -0.5205078125, -0.4462890625, 0.2095947265625, -0.69677734375, -0.2066650390625, -0.04229736328125, 0.56689453125, 0.1590576171875, -1.1298828125, -0.0106658935546875, 0.202880859375, -1.0478515625, 0.4443359375, 0.845703125, 0.19970703125, 0.03216552734375, -0.265380859375, -0.2491455078125, -0.65673828125, 0.1361083984375, -0.59619140625, 0.1976318359375, -0.91162109375, -0.404541015625, -0.65869140625, -0.66455078125, -0.322998046875, -0.22509765625, -0.264892578125, -0.9228515625, 0.5615234375, 0.403076171875, 0.45654296875, -0.036895751953125, -0.25634765625, 0.1490478515625, 0.8251953125, 0.80419921875, 0.0797119140625, 0.57958984375, 0.6826171875, -0.3115234375, 0.228515625, 0.133544921875, 0.45263671875, -0.0631103515625, 0.33203125, -0.311279296875, 0.472900390625, -0.6474609375, -1.1943359375, -0.1337890625, 0.51806640625, 0.49658203125, -0.708984375, -0.9140625, -0.26123046875, -0.978515625, -0.267822265625, -0.46728515625, 0.70263671875, -0.4208984375, -0.122314453125, 0.265625, -1.1298828125, 4.41796875, 0.9521484375, 1.26171875, 0.8955078125, 0.106201171875, 0.9208984375, 0.45654296875, -0.5, -0.022216796875, -0.395263671875, 0.458251953125, -0.615234375, -0.1312255859375, 1.12109375, 0.42138671875, 0.5673828125, -0.48681640625, 0.3349609375, -0.004909515380859375, -0.81640625, -1.0048828125, 0.779296875, -0.284912109375, 0.87255859375, 0.040374755859375, 0.0711669921875, 0.49951171875, -0.58837890625, -0.379638671875, -0.75732421875, 0.369384765625, -0.6064453125, 1.0009765625, -0.0352783203125, -0.49951171875, 0.478515625, -0.2435302734375, -0.59130859375, -0.1663818359375, 0.220703125, 0.2427978515625, 0.1685791015625, 0.6953125, -0.6162109375, 0.07427978515625, 0.1610107421875, -0.7587890625, 0.51953125, 0.01312255859375, -0.9306640625, 0.53076171875, -0.294677734375, -0.0230560302734375, -0.7099609375, -0.865234375, -0.0950927734375, 0.244873046875, -0.5537109375, -0.2222900390625, 0.7412109375, 0.5634765625, 0.3173828125, 0.2197265625, 0.53076171875, -1.25, 0.6298828125, -0.11505126953125, 0.5400390625, -0.767578125, -0.277099609375, -0.34912109375, -0.39306640625, -0.41064453125, -0.50537109375, 0.27099609375, 0.133544921875, -0.10760498046875, 0.279541015625, 0.286865234375, -1.1396484375, 0.284912109375, 0.22509765625, -0.2257080078125, -0.60498046875, 0.8876953125, 1.0478515625, -1.1748046875, -0.477783203125, -0.2337646484375, 0.319091796875, 0.6337890625, 0.435302734375, 0.1766357421875, -0.57666015625, -0.05767822265625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest. Given the list of strings, output the lexicographically smallest concatenation. Input The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104). Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104. Output Print the only string a — the lexicographically smallest string concatenation. Examples Input 4 abba abacaba bcd er Output abacabaabbabcder Input 5 x xx xxa xxaa xxaaa Output xxaaaxxaaxxaxxx Input 3 c cb cba Output cbacbc Tags: sortings, strings Correct Solution: ``` from bisect import insort,bisect_right,bisect_left from sys import stdout, stdin, setrecursionlimit from heapq import heappush, heappop, heapify from io import BytesIO, IOBase from collections import * from itertools import * from random import * from string import * from queue import * from math import * from re import * from os import * # sqrt,ceil,floor,factorial,gcd,log2,log10,comb ####################################---fast-input-output----######################################### class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = read(self._fd, max(fstat(self._fd).st_size, 8192)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = read(self._fd, max(fstat(self._fd).st_size, 8192)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") stdin, stdout = IOWrapper(stdin), IOWrapper(stdout) graph, mod, szzz = {}, 10**9 + 7, lambda: sorted(zzz()) def getStr(): return input() def getInt(): return int(input()) def listStr(): return list(input()) def getStrs(): return input().split() def isInt(s): return '0' <= s[0] <= '9' def input(): return stdin.readline().strip() def zzz(): return [int(i) for i in input().split()] def output(answer, end='\n'): stdout.write(str(answer) + end) def lcd(xnum1, xnum2): return (xnum1 * xnum2 // gcd(xnum1, xnum2)) def getPrimes(N = 10**5): SN = int(sqrt(N)) sieve = [i for i in range(N+1)] sieve[1] = 0 for i in sieve: if i > SN: break if i == 0: continue for j in range(2*i, N+1, i): sieve[j] = 0 prime = [i for i in range(N+1) if sieve[i] != 0] return prime def primeFactor(n,prime=getPrimes()): lst = [] mx=int(sqrt(n))+1 for i in prime: if i>mx:break while n%i==0: lst.append(i) n//=i if n>1: lst.append(n) return lst dx = [-1, 1, 0, 0, 1, -1, 1, -1] dy = [0, 0, 1, -1, 1, -1, -1, 1] daysInMounth = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31] #################################################---Some Rule For Me To Follow---################################# """ --instants of Reading problem continuously try to understand them. --Try & again try, maybe you're just one statement away! """ ##################################################---START-CODING---############################################### num = getInt() lst=[] for _ in range(num): lst.append(getStr()) def mergeSort(s): if len(s)==1: return s s1 = mergeSort(s[:len(s)//2]) s2 = mergeSort(s[len(s)//2:]) return merge(s1,s2) def merge(s1,s2): lst=[] ind1 = 0 ind2 = 0 while ind1!=len(s1) and ind2 != len(s2): if s1[ind1]+s2[ind2]>s2[ind2]+s1[ind1]: lst.append(s2[ind2]) ind2+=1 else: lst.append(s1[ind1]) ind1+=1 if ind1 != len(s1): lst+=s1[ind1:] else: lst+=s2[ind2:] return lst print(''.join(i for i in mergeSort(lst))) ```
6,243
[ 0.1461181640625, -0.364013671875, 0.38232421875, 0.28564453125, -0.28466796875, -0.3486328125, 0.075439453125, -0.0814208984375, 0.1866455078125, 0.7060546875, 0.7490234375, -0.01284027099609375, -0.255126953125, -1.232421875, -0.73681640625, -0.0985107421875, -0.6142578125, -0.85791015625, -0.482421875, -0.12646484375, 0.06451416015625, -0.2626953125, -1.4580078125, 0.2364501953125, -0.131103515625, 1.423828125, 0.54443359375, -0.0256805419921875, 0.96240234375, 0.82470703125, -0.266845703125, -0.425048828125, 0.830078125, -1.248046875, -0.60791015625, -0.38818359375, 0.89990234375, -0.57470703125, -0.5478515625, -0.35400390625, 0.3701171875, -0.59912109375, 0.28662109375, -0.80078125, -1.11328125, -0.005184173583984375, -0.293212890625, -0.321533203125, 0.03253173828125, -0.78271484375, -0.274169921875, -0.09368896484375, 0.53076171875, -0.103271484375, -0.296875, -0.034271240234375, 0.2412109375, -0.300048828125, -0.51025390625, 0.45751953125, 0.477783203125, 0.374755859375, 0.1585693359375, -0.396728515625, -0.287353515625, 0.273681640625, -0.057281494140625, -0.2744140625, -0.26806640625, -0.94921875, -0.2318115234375, 0.177734375, -0.293701171875, -0.6591796875, -0.25048828125, -0.021270751953125, 0.4521484375, -0.239013671875, -0.26953125, 0.8271484375, 0.1485595703125, 0.95166015625, -0.0108184814453125, 0.1693115234375, -0.4921875, -0.6044921875, -0.329833984375, 0.0006952285766601562, 0.326904296875, 0.128662109375, 0.01849365234375, 0.64599609375, -0.5673828125, 0.2330322265625, 0.640625, 0.402099609375, -0.442138671875, 0.250732421875, 0.2205810546875, 0.7548828125, 0.703125, 1.1533203125, -0.285888671875, 0.95654296875, -0.59423828125, 0.0364990234375, -0.1522216796875, -0.23388671875, -0.354736328125, 0.0953369140625, -0.51904296875, -0.50732421875, 0.56298828125, 0.2481689453125, -0.11181640625, 0.79248046875, 0.106201171875, 0.345703125, -0.85888671875, 0.476318359375, 0.31982421875, 0.385986328125, 0.546875, -0.48388671875, -0.20751953125, -0.68994140625, -0.64599609375, 0.85205078125, -0.6083984375, 0.1400146484375, 0.42236328125, 0.203125, -0.027130126953125, 0.47900390625, 0.1016845703125, 0.8486328125, -0.0031185150146484375, 0.64111328125, 0.64306640625, -0.505859375, 0.5859375, -0.6142578125, -0.376220703125, 1.1396484375, 0.42236328125, 0.2705078125, 0.74072265625, 0.3125, -0.71923828125, 0.390869140625, -0.91015625, 0.51220703125, 0.401611328125, 0.1475830078125, -0.115478515625, 0.215576171875, -0.326171875, 0.302978515625, 0.378662109375, 0.2100830078125, -0.291015625, -0.12939453125, -0.324462890625, 0.489501953125, -0.6279296875, 0.79638671875, -0.595703125, -0.190673828125, -0.1275634765625, -0.414794921875, -0.1373291015625, -0.283203125, -0.1627197265625, 0.8486328125, 0.587890625, 0.7890625, 0.86865234375, -0.2069091796875, 0.332763671875, 0.21630859375, -0.466552734375, 0.478759765625, 0.15966796875, 0.6455078125, 0.314208984375, 0.4794921875, 0.281005859375, -0.30322265625, -0.734375, -1.00390625, 0.0560302734375, 1.041015625, -0.58251953125, 0.33154296875, -0.42333984375, 0.10552978515625, -0.51904296875, -0.36181640625, -0.0611572265625, -0.92919921875, -0.333251953125, 0.414794921875, -0.1868896484375, 0.21923828125, -0.71484375, -0.413330078125, 0.7431640625, 0.99951171875, -0.296875, -0.10040283203125, 0.59228515625, -0.37548828125, -0.34716796875, 0.638671875, 0.211669921875, -0.0192413330078125, -0.3818359375, 0.68798828125, -0.146484375, -0.03973388671875, -0.133056640625, 0.84716796875, 0.5068359375, 0.49169921875, 0.023651123046875, 0.099365234375, 0.29638671875, 0.9208984375, -0.146484375, 0.8154296875, 0.1422119140625, 0.73095703125, 0.58349609375, 0.432373046875, 0.57568359375, 0.1573486328125, 0.65673828125, 0.6142578125, 0.14111328125, 0.136474609375, -0.26025390625, 0.3115234375, 0.050018310546875, 0.374755859375, 0.310791015625, 0.58935546875, 0.166015625, 0.218505859375, -0.19970703125, -0.22900390625, -0.484619140625, 1.0908203125, 0.11297607421875, 0.28515625, -0.40966796875, -0.48046875, 0.1954345703125, 0.81982421875, -0.6728515625, -0.64111328125, -0.06793212890625, 0.208984375, -0.17626953125, -0.0430908203125, 0.2998046875, 0.755859375, 0.344482421875, 0.33935546875, -0.406005859375, -0.443603515625, -0.96484375, -0.61181640625, -0.775390625, -0.1397705078125, -0.70654296875, 0.051177978515625, 0.46142578125, -0.5556640625, 0.268798828125, -0.26904296875, -0.139892578125, 0.1622314453125, -0.67578125, 0.39990234375, -0.03662109375, 0.599609375, -0.67431640625, 0.56787109375, 0.34423828125, 1.103515625, -0.430908203125, -0.275634765625, -0.06915283203125, -0.64892578125, 0.138671875, 0.427734375, 0.3798828125, 0.158203125, -0.4072265625, -1.169921875, -0.44287109375, -0.00644683837890625, 0.07965087890625, 0.30322265625, -0.41064453125, 0.93310546875, 0.27392578125, -0.55078125, 0.458984375, 0.466552734375, -0.68212890625, 0.328125, 0.1693115234375, -0.053741455078125, -0.82421875, 1.0185546875, 0.2410888671875, 0.0748291015625, -0.82568359375, -0.64453125, -0.37646484375, 0.243408203125, 0.0036067962646484375, -0.63427734375, -0.316650390625, 0.68505859375, -0.1263427734375, -0.9248046875, 0.460693359375, -0.6015625, -0.50439453125, -0.1820068359375, -0.1185302734375, 0.669921875, 0.69677734375, 0.257568359375, -0.279296875, 0.31591796875, -0.406005859375, 0.55810546875, 0.52978515625, -0.491455078125, -0.2529296875, 0.55078125, -0.077392578125, -0.176513671875, 0.259033203125, -0.11541748046875, 0.0714111328125, -0.0030231475830078125, 0.12237548828125, 0.5458984375, 0.327392578125, 0.2037353515625, 0.13427734375, 0.64306640625, -0.671875, -0.340576171875, 0.0307464599609375, 0.53173828125, 0.3896484375, 0.350341796875, -0.0141754150390625, -0.242919921875, -0.177978515625, -1.1640625, 0.51806640625, 0.03900146484375, 0.9091796875, -0.54541015625, 1.02734375, 0.533203125, -0.451904296875, 0.50830078125, -0.650390625, -0.1309814453125, 1.03515625, -0.06304931640625, 1.1181640625, -0.2410888671875, 0.2027587890625, -0.00502777099609375, 0.166015625, 0.445068359375, 0.46533203125, 0.344970703125, -0.448486328125, -0.1815185546875, -0.469482421875, -0.304443359375, -0.043212890625, -0.363037109375, 0.2392578125, -0.459228515625, 0.06689453125, -0.7470703125, 0.416015625, 0.8623046875, 0.52099609375, 0.468017578125, 0.48095703125, 0.19189453125, 0.68994140625, 0.56689453125, -0.263671875, 0.2178955078125, -0.6533203125, 0.88671875, -0.342041015625, -0.441650390625, -0.654296875, -0.38330078125, -0.26513671875, 0.133544921875, -0.11962890625, -0.251953125, -1.126953125, 0.533203125, -0.2322998046875, 0.654296875, -0.52392578125, -0.361328125, -0.310791015625, 0.480224609375, 0.04156494140625, -1.0205078125, 0.6982421875, -0.80322265625, 0.389892578125, 0.386962890625, -0.1396484375, -0.1849365234375, -0.5439453125, -0.59912109375, -0.71484375, 0.4677734375, 0.76708984375, -0.041839599609375, 0.0906982421875, -1.041015625, 0.4189453125, 0.1719970703125, -0.089111328125, -0.056304931640625, 0.0928955078125, 0.1448974609375, -0.099609375, 0.5107421875, -0.474365234375, -0.810546875, 0.490966796875, -1.3525390625, 0.42578125, -0.75439453125, 0.77392578125, 0.0307159423828125, -0.1297607421875, 0.240966796875, 0.490966796875, -0.2376708984375, -0.055694580078125, -0.513671875, 0.3271484375, -0.94140625, -0.73095703125, 0.6083984375, -0.424560546875, -0.282470703125, 1.10546875, -0.0911865234375, -0.60546875, 0.235107421875, 0.7734375, -0.363037109375, 0.1988525390625, -0.333984375, 0.5224609375, -0.58056640625, -0.66943359375, -0.3935546875, -0.343994140625, 1.16796875, 0.1484375, -0.779296875, -0.105224609375, -1.08984375, -0.2142333984375, 0.28662109375, -0.53271484375, 0.173095703125, -0.1470947265625, -0.35888671875, -0.204345703125, -0.47216796875, -0.58642578125, -0.3876953125, -0.459228515625, -0.320068359375, 0.36572265625, 0.24072265625, 0.81494140625, 0.06622314453125, -0.436767578125, 0.0090484619140625, -0.05059814453125, -0.0238037109375, -0.50537109375, -0.016998291015625, -0.49560546875, -0.261962890625, -0.2186279296875, 0.058502197265625, 0.339111328125, 0.234130859375, 0.384521484375, 0.33154296875, 0.171875, 0.379150390625, -0.92529296875, 0.91552734375, -0.0421142578125, -0.473388671875, -0.443359375, 0.77197265625, -0.273681640625, 0.416015625, 0.1983642578125, -0.78759765625, -0.7265625, -0.759765625, 0.346435546875, -0.18896484375, -0.09808349609375, -0.9794921875, -0.10772705078125, -0.50830078125, 0.2130126953125, -0.1112060546875, -0.61962890625, 0.087158203125, -0.75390625, -0.13720703125, -0.9375, -0.458740234375, -0.93212890625, -0.413330078125, -0.00920867919921875, 0.81494140625, 0.288330078125, 0.342529296875, -0.06536865234375, 0.1134033203125, 0.474853515625, -0.321533203125, -0.70263671875, -0.23193359375, -0.17626953125, 0.396728515625, 0.0026397705078125, -0.09716796875, -0.44775390625, 0.470458984375, -0.560546875, 0.1817626953125, -0.564453125, -0.1923828125, -0.34912109375, -0.12445068359375, 1.1396484375, -0.348876953125, -0.0060272216796875, 0.010101318359375, 0.7958984375, 0.7626953125, -0.36328125, -0.5126953125, -1.0361328125, -0.39599609375, -0.87646484375, 0.374755859375, -0.431640625, 0.0997314453125, -0.6435546875, -0.07391357421875, 1.1962890625, -0.556640625, 0.58642578125, 0.8046875, -0.0660400390625, 0.2120361328125, -0.79345703125, 0.77685546875, 0.425048828125, -0.61962890625, 0.2115478515625, -0.0914306640625, -0.64794921875, 0.2010498046875, -0.28955078125, -1.0986328125, -0.450439453125, 0.35791015625, 1.5283203125, -0.283447265625, 0.56494140625, 0.255859375, -1.05859375, -0.509765625, 0.88232421875, 0.20556640625, 0.400390625, 0.958984375, -0.2049560546875, 0.1650390625, -0.1690673828125, -0.3447265625, -0.1878662109375, -0.294677734375, 0.9404296875, -0.355712890625, -0.4599609375, 1.08984375, 0.82373046875, -1.1328125, -0.869140625, -0.3544921875, 0.0263519287109375, -0.441650390625, -0.4658203125, 0.00811004638671875, 0.47998046875, -0.74658203125, -0.292724609375, 0.165283203125, -0.373046875, 0.343017578125, 0.041107177734375, 0.208984375, -0.57568359375, 0.129638671875, 0.595703125, -0.45361328125, -0.3984375, -0.70361328125, 0.159912109375, -0.493896484375, 0.1090087890625, 0.62744140625, 0.0021228790283203125, 0.42626953125, 0.33154296875, 0.287841796875, 0.52685546875, -0.328125, -0.36083984375, -0.019195556640625, -0.4462890625, -0.456787109375, 0.11199951171875, 0.36474609375, -0.095947265625, 0.432373046875, -0.78955078125, -0.0465087890625, 0.1009521484375, 0.2408447265625, -0.084716796875, -0.77392578125, -0.03106689453125, -1.158203125, -0.4384765625, -0.5400390625, -0.80224609375, -0.1939697265625, -0.033355712890625, 0.48681640625, -0.671875, -0.0016393661499023438, 0.66064453125, -0.30126953125, 0.480224609375, -0.5947265625, 0.2305908203125, -0.7041015625, -0.1964111328125, -0.66015625, 0.33251953125, -0.2044677734375, 0.10418701171875, -1.29296875, 0.0548095703125, -0.09063720703125, 0.483642578125, -0.2474365234375, 0.418212890625, -0.38232421875, -0.316162109375, 0.06988525390625, -0.1395263671875, -0.1082763671875, 0.68798828125, 0.35693359375, 0.0809326171875, 0.25390625, -0.111083984375, -0.5478515625, -0.73681640625, 0.62109375, 0.73779296875, -0.364990234375, -0.213623046875, -0.369384765625, 0.40771484375, -0.83203125, 0.489501953125, -0.333251953125, 0.041015625, -0.0909423828125, -0.186279296875, 0.484130859375, 1.2607421875, -0.11834716796875, 0.339111328125, -0.36474609375, 0.1998291015625, 0.39453125, -0.07080078125, -0.22314453125, 0.411376953125, -0.016357421875, -0.052490234375, -0.078125, 0.6171875, 0.23486328125, 0.66796875, -0.12255859375, -0.50927734375, -0.95849609375, -0.213623046875, 0.1312255859375, 0.64013671875, 0.24267578125, -0.443603515625, -0.1322021484375, -0.235107421875, -0.457275390625, 0.521484375, -0.94873046875, -1.1181640625, 0.140380859375, 0.0266876220703125, -0.59423828125, -0.271728515625, -0.67236328125, -0.09161376953125, 0.2252197265625, 0.4912109375, -0.469970703125, 0.77197265625, -0.01611328125, 0.2073974609375, -0.317138671875, -0.204345703125, 0.223388671875, 0.420654296875, -0.4931640625, -0.58251953125, 0.2509765625, 1.037109375, 0.376708984375, -0.05682373046875, -0.406494140625, 0.10552978515625, 0.03448486328125, 0.5302734375, -0.6298828125, -0.27197265625, -0.341796875, 0.55908203125, -0.765625, 0.182373046875, -0.35888671875, 0.1468505859375, 0.1749267578125, -0.1510009765625, -0.56103515625, 0.86328125, 0.87646484375, -0.047760009765625, 0.56787109375, 0.112060546875, 0.373046875, 0.1634521484375, -0.399169921875, -0.494873046875, 0.8955078125, 0.40478515625, 0.669921875, -0.027191162109375, 0.4755859375, 0.68310546875, -0.1165771484375, -0.428955078125, 0.45263671875, 0.214111328125, -0.046478271484375, 0.269287109375, -0.3037109375, -0.15185546875, -0.09130859375, -0.62109375, 0.42919921875, -0.2418212890625, -0.28369140625, -0.0295257568359375, -0.62841796875, 1.052734375, -0.52197265625, -0.456787109375, -0.0205841064453125, -0.310302734375, 0.443115234375, 0.75927734375, 0.076416015625, -0.346435546875, 0.92236328125, 0.57177734375, 0.445556640625, 0.7060546875, 0.397216796875, 0.43359375, -0.50341796875, 0.04217529296875, -0.045684814453125, 0.04095458984375, -0.305908203125, 0.191162109375, -1.1962890625, 0.471923828125, -0.042724609375, -0.47900390625, 0.701171875, -0.3623046875, -0.12493896484375, -0.441162109375, 0.469482421875, -0.916015625, 0.51416015625, 0.36328125, -0.300048828125, -0.54736328125, 0.87451171875, -0.0303497314453125, 0.116455078125, 0.00048661231994628906, 1.01953125, 0.032806396484375, 1.4287109375, 0.183349609375, -0.276611328125, -0.2117919921875, 0.54248046875, -0.373779296875, -0.69091796875, -0.5556640625, -0.52587890625, 0.28857421875, -0.48486328125, -0.189208984375, 0.14697265625, 0.50927734375, 0.09765625, -1.00390625, -0.072998046875, 0.03558349609375, -0.95556640625, 0.35546875, 0.8828125, 0.22265625, 0.005523681640625, -0.2822265625, -0.1439208984375, -0.6630859375, 0.395751953125, -0.6455078125, 0.345703125, -0.7958984375, -0.3916015625, -0.69091796875, -0.6396484375, -0.291748046875, -0.1937255859375, -0.11883544921875, -0.8515625, 0.45458984375, 0.54052734375, 0.354248046875, 0.021881103515625, -0.09307861328125, 0.207763671875, 1.048828125, 0.9091796875, 0.2210693359375, 0.6513671875, 0.46533203125, -0.2349853515625, 0.2366943359375, 0.13623046875, 0.396728515625, 0.049591064453125, 0.3125, -0.27099609375, 0.64306640625, -0.73974609375, -1.1103515625, -0.0010623931884765625, 0.38720703125, 0.6435546875, -0.69189453125, -0.76220703125, -0.2452392578125, -1.0263671875, -0.37060546875, -0.48779296875, 0.7294921875, -0.1884765625, -0.1807861328125, 0.28564453125, -1.0673828125, 4.48828125, 1.0029296875, 1.1689453125, 0.68603515625, 0.06005859375, 0.90673828125, 0.44580078125, -0.44677734375, 0.1904296875, -0.1563720703125, 0.4453125, -0.52294921875, -0.26416015625, 1.013671875, 0.44921875, 0.42724609375, -0.3642578125, 0.08050537109375, 0.0850830078125, -0.81494140625, -1.046875, 0.50146484375, -0.2193603515625, 0.79443359375, 0.16552734375, 0.0004048347473144531, 0.51513671875, -0.57373046875, -0.204833984375, -0.56982421875, 0.50341796875, -0.501953125, 0.93115234375, -0.214599609375, -0.480224609375, 0.468017578125, -0.2481689453125, -0.322998046875, -0.131591796875, 0.279296875, 0.087646484375, 0.09747314453125, 0.67724609375, -0.6865234375, 0.140625, 0.1820068359375, -0.81298828125, 0.576171875, 0.017791748046875, -1.1357421875, 0.4619140625, -0.2098388671875, 0.0655517578125, -0.75439453125, -0.75146484375, -0.1304931640625, 0.18408203125, -0.387451171875, -0.403564453125, 0.67041015625, 0.73876953125, 0.313232421875, 0.406494140625, 0.449462890625, -1.193359375, 0.62890625, -0.265625, 0.7548828125, -0.921875, -0.229736328125, -0.408447265625, -0.3876953125, -0.30322265625, -0.36181640625, 0.37451171875, 0.0175628662109375, -0.303955078125, 0.341064453125, 0.322998046875, -0.88671875, 0.2410888671875, 0.011322021484375, -0.275390625, -0.61474609375, 0.869140625, 1.2744140625, -1.0693359375, -0.666015625, -0.356201171875, 0.424072265625, 0.5693359375, 0.52294921875, 0.379150390625, -0.415771484375, -0.04620361328125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest. Given the list of strings, output the lexicographically smallest concatenation. Input The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104). Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104. Output Print the only string a — the lexicographically smallest string concatenation. Examples Input 4 abba abacaba bcd er Output abacabaabbabcder Input 5 x xx xxa xxaa xxaaa Output xxaaaxxaaxxaxxx Input 3 c cb cba Output cbacbc Tags: sortings, strings Correct Solution: ``` def cmp_to_key(mycmp): 'Convert a cmp= function into a key= function' class K: def __init__(self, obj, *args): self.obj = obj def __lt__(self, other): return mycmp(self.obj, other.obj) < 0 def __gt__(self, other): return mycmp(self.obj, other.obj) > 0 def __eq__(self, other): return mycmp(self.obj, other.obj) == 0 def __le__(self, other): return mycmp(self.obj, other.obj) <= 0 def __ge__(self, other): return mycmp(self.obj, other.obj) >= 0 def __ne__(self, other): return mycmp(self.obj, other.obj) != 0 return K n = int(input()) ls = [input() for _ in range(n)] def compare_str(x, y): if x + y < y + x: return -1 elif x + y > y + x: return 1 else: return 0 ls.sort(key=cmp_to_key(compare_str)) print("".join(ls)) ```
6,244
[ 0.28857421875, -0.3740234375, 0.35791015625, 0.267578125, -0.3525390625, -0.490966796875, 0.033843994140625, 0.04052734375, -0.01218414306640625, 0.55419921875, 0.70947265625, 0.03936767578125, -0.405029296875, -1.1396484375, -0.89599609375, -0.009521484375, -0.58056640625, -0.67236328125, -0.357666015625, -0.2265625, 0.0242462158203125, -0.07098388671875, -1.814453125, 0.10821533203125, -0.257080078125, 1.3251953125, 0.6689453125, -0.256103515625, 0.90185546875, 0.8359375, -0.45068359375, -0.458740234375, 0.8125, -1.1767578125, -0.52099609375, -0.49951171875, 0.90478515625, -0.57421875, -0.265380859375, -0.413330078125, 0.445556640625, -0.6650390625, 0.364501953125, -0.7373046875, -1.1396484375, 0.169189453125, -0.09735107421875, -0.29443359375, -0.10943603515625, -0.85986328125, -0.1944580078125, -0.11163330078125, 0.59765625, -0.2666015625, -0.2322998046875, -0.07366943359375, 0.2496337890625, -0.27978515625, -0.5, 0.487060546875, 0.302001953125, 0.52197265625, 0.01226043701171875, -0.5, -0.259521484375, 0.11669921875, -0.08837890625, -0.360595703125, -0.1318359375, -1.0888671875, -0.2471923828125, 0.17333984375, -0.462890625, -0.62451171875, -0.321044921875, 0.123046875, 0.2646484375, -0.369873046875, -0.252685546875, 0.69677734375, 0.28515625, 0.85400390625, 0.11883544921875, 0.1884765625, -0.42578125, -0.50146484375, -0.1661376953125, 0.1981201171875, 0.418701171875, 0.1309814453125, -0.1622314453125, 0.59521484375, -0.6171875, 0.032745361328125, 0.70703125, 0.2469482421875, -0.224853515625, 0.25732421875, 0.402099609375, 0.5537109375, 0.69287109375, 0.93505859375, -0.248291015625, 0.95361328125, -0.387939453125, 0.1334228515625, -0.391357421875, -0.1087646484375, -0.359619140625, 0.0648193359375, -0.52490234375, -0.456298828125, 0.5146484375, 0.1556396484375, -0.1514892578125, 0.970703125, 0.037567138671875, 0.365234375, -0.849609375, 0.34228515625, 0.46875, 0.373046875, 0.52880859375, -0.31103515625, 0.1778564453125, -0.412109375, -0.5966796875, 0.8955078125, -0.55126953125, 0.2060546875, 0.5146484375, 0.076416015625, 0.0391845703125, 0.46044921875, -0.0061798095703125, 0.76220703125, -0.08380126953125, 0.61083984375, 0.5498046875, -0.64501953125, 0.6640625, -0.48876953125, -0.32373046875, 1.1748046875, 0.335205078125, 0.087890625, 0.73681640625, 0.32666015625, -0.77099609375, 0.2259521484375, -0.9140625, 0.5458984375, 0.489990234375, 0.10858154296875, -0.01343536376953125, 0.17822265625, -0.304443359375, 0.40673828125, 0.389404296875, 0.21435546875, -0.324462890625, -0.2186279296875, -0.342529296875, 0.455078125, -0.56689453125, 0.78759765625, -0.67236328125, -0.3515625, -0.3603515625, -0.387939453125, -0.1488037109375, -0.306640625, -0.11700439453125, 0.833984375, 0.72900390625, 0.9326171875, 0.86962890625, -0.07574462890625, 0.383544921875, 0.279296875, -0.457275390625, 0.362060546875, 0.10125732421875, 0.638671875, 0.129150390625, 0.26708984375, 0.265625, -0.28564453125, -0.859375, -0.87744140625, -0.00836944580078125, 0.81591796875, -0.494140625, 0.1617431640625, -0.260986328125, 0.08837890625, -0.6435546875, -0.254638671875, -0.073486328125, -0.92919921875, -0.372314453125, 0.371337890625, -0.306396484375, 0.23291015625, -0.88427734375, -0.53857421875, 0.72802734375, 0.93798828125, -0.306396484375, -0.11163330078125, 0.4150390625, -0.2425537109375, -0.06201171875, 0.42431640625, 0.261962890625, 0.163330078125, -0.419189453125, 0.62158203125, -0.3212890625, 0.076904296875, 0.1304931640625, 0.92041015625, 0.67529296875, 0.55224609375, 0.052947998046875, -0.0484619140625, 0.3525390625, 0.962890625, -0.08013916015625, 0.892578125, 0.1688232421875, 0.669921875, 0.8564453125, 0.5537109375, 0.55810546875, 0.171142578125, 0.71435546875, 0.58447265625, 0.33837890625, -0.010040283203125, -0.212646484375, 0.385498046875, 0.1865234375, 0.59326171875, 0.39208984375, 0.56494140625, 0.0308837890625, 0.257568359375, -0.2135009765625, -0.04913330078125, -0.347900390625, 0.9990234375, 0.1436767578125, 0.380859375, -0.36328125, -0.38427734375, 0.281005859375, 0.87255859375, -0.7197265625, -0.65625, -0.020477294921875, 0.0921630859375, -0.21337890625, -0.349365234375, 0.13671875, 0.673828125, 0.52294921875, 0.36083984375, -0.329833984375, -0.482666015625, -0.94970703125, -0.6123046875, -0.7080078125, -0.11224365234375, -0.77392578125, 0.0936279296875, 0.51708984375, -0.5107421875, 0.341552734375, -0.40478515625, -0.083251953125, 0.041351318359375, -0.5166015625, 0.5224609375, 0.2010498046875, 0.435302734375, -0.73291015625, 0.6708984375, 0.353515625, 0.97509765625, -0.51025390625, -0.484375, -0.1451416015625, -0.70556640625, 0.0841064453125, 0.38671875, 0.40283203125, -0.0013818740844726562, -0.65966796875, -1.076171875, -0.4404296875, 0.214111328125, 0.07525634765625, 0.419189453125, -0.266845703125, 0.859375, 0.1319580078125, -0.37890625, 0.48876953125, 0.471923828125, -0.734375, 0.1993408203125, 0.1778564453125, -0.0167388916015625, -0.85791015625, 1.0654296875, 0.396484375, 0.20947265625, -0.572265625, -0.50439453125, -0.473388671875, 0.37744140625, 0.022735595703125, -0.51806640625, -0.259033203125, 0.66845703125, -0.1187744140625, -0.94775390625, 0.42138671875, -0.66162109375, -0.5341796875, -0.27294921875, -0.08984375, 0.5302734375, 0.68603515625, 0.252685546875, -0.10345458984375, 0.30615234375, -0.3115234375, 0.71240234375, 0.453125, -0.4638671875, -0.16455078125, 0.334716796875, 0.0226898193359375, -0.1273193359375, 0.0943603515625, -0.177978515625, 0.19384765625, -0.263671875, 0.0809326171875, 0.466796875, 0.31103515625, 0.09527587890625, 0.229736328125, 0.6337890625, -0.52099609375, -0.53759765625, -0.06256103515625, 0.59326171875, 0.3125, 0.421142578125, 0.062744140625, -0.26806640625, -0.1605224609375, -1.1806640625, 0.57080078125, -0.02996826171875, 0.91650390625, -0.7841796875, 0.9873046875, 0.576171875, -0.4033203125, 0.59228515625, -0.7119140625, -0.31005859375, 1.08203125, -0.125, 0.95849609375, -0.2232666015625, 0.02520751953125, -0.0216827392578125, 0.1295166015625, 0.46142578125, 0.693359375, 0.1954345703125, -0.474365234375, 0.0362548828125, -0.4892578125, -0.324951171875, -0.1055908203125, -0.50732421875, 0.3525390625, -0.3681640625, -0.11212158203125, -0.58447265625, 0.322021484375, 0.91650390625, 0.58984375, 0.2432861328125, 0.3896484375, 0.193115234375, 0.66064453125, 0.6337890625, -0.405517578125, 0.217529296875, -0.4658203125, 0.95751953125, -0.354248046875, -0.406005859375, -0.6376953125, -0.1441650390625, -0.39697265625, 0.322265625, -0.023712158203125, -0.2939453125, -1.048828125, 0.58740234375, -0.2388916015625, 0.54248046875, -0.486083984375, -0.31884765625, -0.12744140625, 0.278076171875, 0.043792724609375, -1.048828125, 0.65673828125, -0.68310546875, 0.4140625, 0.343505859375, -0.037994384765625, -0.1475830078125, -0.62939453125, -0.45654296875, -0.5771484375, 0.45068359375, 0.7998046875, -0.0232391357421875, 0.06671142578125, -1.09765625, 0.5595703125, 0.03271484375, 0.0214996337890625, -0.13525390625, 0.09967041015625, 0.110107421875, -0.06597900390625, 0.5458984375, -0.484375, -0.771484375, 0.39111328125, -1.166015625, 0.400634765625, -0.72119140625, 0.890625, 0.35205078125, -0.05670166015625, 0.09674072265625, 0.25439453125, -0.378662109375, 0.06695556640625, -0.456298828125, 0.36181640625, -0.9365234375, -0.59716796875, 0.5625, -0.15869140625, -0.1920166015625, 1.021484375, -0.0792236328125, -0.5029296875, 0.359619140625, 0.7373046875, -0.331298828125, 0.11083984375, -0.358154296875, 0.63818359375, -0.60302734375, -0.6162109375, -0.268310546875, -0.52099609375, 0.9921875, -0.09454345703125, -0.8076171875, -0.242431640625, -1.16015625, -0.269775390625, 0.259033203125, -0.384765625, 0.33349609375, -0.273681640625, -0.388916015625, 0.034759521484375, -0.26953125, -0.4892578125, -0.37451171875, -0.51806640625, -0.3310546875, 0.17724609375, 0.1439208984375, 0.95849609375, 0.053955078125, -0.5078125, 0.1136474609375, -0.0140228271484375, 0.0498046875, -0.335205078125, -0.17626953125, -0.53173828125, -0.38427734375, -0.431396484375, -0.0192108154296875, 0.252685546875, 0.1229248046875, 0.382568359375, 0.1881103515625, 0.274658203125, 0.37744140625, -0.93994140625, 0.92822265625, 0.0173187255859375, -0.67626953125, -0.353271484375, 0.59130859375, -0.138916015625, 0.55029296875, 0.294921875, -0.70068359375, -0.814453125, -0.810546875, 0.2117919921875, -0.1470947265625, -0.300048828125, -0.830078125, 0.05572509765625, -0.55029296875, 0.309814453125, 0.012542724609375, -0.5439453125, 0.167724609375, -0.75439453125, -0.21923828125, -0.89208984375, -0.429443359375, -0.69775390625, -0.356689453125, -0.29638671875, 0.89501953125, 0.4189453125, 0.403076171875, -0.1708984375, 0.0443115234375, 0.4853515625, -0.2890625, -0.681640625, -0.447021484375, -0.2071533203125, 0.4951171875, 0.01342010498046875, -0.1351318359375, -0.403564453125, 0.6962890625, -0.69384765625, 0.204833984375, -0.58056640625, -0.1351318359375, -0.441650390625, -0.455810546875, 0.99267578125, -0.2218017578125, -0.24169921875, -0.08233642578125, 0.7919921875, 0.7041015625, -0.6376953125, -0.55419921875, -0.9521484375, -0.499267578125, -0.72509765625, 0.5654296875, -0.436767578125, 0.0408935546875, -0.57763671875, -0.126220703125, 1.1845703125, -0.68310546875, 0.4921875, 0.94677734375, -0.05792236328125, 0.313720703125, -0.841796875, 0.576171875, 0.345458984375, -0.65673828125, 0.0289306640625, -0.0278167724609375, -0.51171875, 0.07562255859375, -0.1688232421875, -1.1953125, -0.6669921875, 0.5087890625, 1.357421875, -0.23876953125, 0.599609375, 0.1470947265625, -1.1416015625, -0.482177734375, 0.83837890625, 0.21826171875, 0.278076171875, 1.0615234375, -0.08636474609375, -0.07464599609375, -0.3310546875, -0.43603515625, -0.439208984375, -0.397705078125, 0.9296875, -0.5595703125, -0.56298828125, 0.86083984375, 1.0419921875, -1.0869140625, -0.74853515625, -0.39208984375, -0.070068359375, -0.5224609375, -0.5615234375, -0.0198211669921875, 0.43408203125, -0.697265625, -0.23779296875, 0.1956787109375, -0.367919921875, 0.220458984375, -0.0014448165893554688, 0.30517578125, -0.63134765625, 0.13623046875, 0.60595703125, -0.365478515625, -0.419189453125, -0.625, 0.31884765625, -0.3544921875, 0.1588134765625, 0.69482421875, -0.0222930908203125, 0.257080078125, 0.57958984375, 0.2322998046875, 0.556640625, -0.486083984375, -0.1756591796875, 0.07879638671875, -0.462158203125, -0.379150390625, -0.042449951171875, 0.36962890625, 0.06280517578125, 0.390625, -0.80126953125, -0.2164306640625, 0.00946044921875, 0.4560546875, -0.1456298828125, -0.52783203125, -0.125244140625, -1.201171875, -0.49169921875, -0.5185546875, -0.69873046875, -0.2357177734375, -0.04156494140625, 0.399169921875, -0.74560546875, 0.2034912109375, 0.68212890625, -0.427001953125, 0.66748046875, -0.473388671875, 0.2437744140625, -0.79541015625, -0.3271484375, -0.60498046875, 0.266845703125, -0.16552734375, 0.042083740234375, -1.1904296875, 0.2132568359375, -0.080078125, 0.38037109375, -0.4111328125, 0.331787109375, -0.2259521484375, -0.5458984375, 0.156005859375, -0.1951904296875, -0.18359375, 0.607421875, 0.31396484375, 0.1737060546875, 0.2108154296875, -0.0802001953125, -0.572265625, -0.61376953125, 0.61962890625, 0.69677734375, -0.163818359375, -0.138916015625, -0.29150390625, 0.334716796875, -0.8427734375, 0.418701171875, -0.26318359375, 0.0010538101196289062, -0.158203125, -0.297119140625, 0.767578125, 1.34375, -0.0673828125, 0.2978515625, -0.283447265625, 0.187744140625, 0.424072265625, 0.045654296875, -0.1220703125, 0.294921875, 0.11126708984375, 0.044219970703125, -0.324462890625, 0.61865234375, 0.21435546875, 0.74365234375, -0.06561279296875, -0.62841796875, -1.072265625, -0.2222900390625, 0.1627197265625, 0.7724609375, 0.3212890625, -0.626953125, -0.2203369140625, -0.1566162109375, -0.278076171875, 0.393798828125, -0.8798828125, -0.9736328125, 0.2318115234375, 0.040252685546875, -0.5546875, -0.1646728515625, -0.6103515625, -0.07781982421875, 0.342041015625, 0.7578125, -0.38916015625, 0.76953125, -0.01485443115234375, 0.33349609375, -0.340087890625, -0.2288818359375, 0.272705078125, 0.43115234375, -0.49609375, -0.401611328125, 0.11846923828125, 0.8994140625, 0.4306640625, -0.0694580078125, -0.39990234375, 0.2354736328125, 0.239501953125, 0.427978515625, -0.80859375, -0.235107421875, -0.158935546875, 0.366943359375, -0.8720703125, -0.049835205078125, -0.248291015625, 0.298095703125, 0.310302734375, -0.05615234375, -0.419189453125, 0.87548828125, 0.92236328125, -0.25927734375, 0.54736328125, 0.229736328125, 0.4755859375, 0.1986083984375, -0.215576171875, -0.411376953125, 0.6943359375, 0.443603515625, 0.7216796875, -0.01146697998046875, 0.32275390625, 0.5576171875, -0.0025157928466796875, -0.358642578125, 0.6630859375, -0.0210113525390625, -0.082763671875, 0.100341796875, -0.27783203125, -0.042877197265625, 0.09710693359375, -0.541015625, 0.252685546875, -0.30712890625, -0.1572265625, -0.1597900390625, -0.54345703125, 1.072265625, -0.6416015625, -0.384521484375, -0.1334228515625, -0.256103515625, 0.435302734375, 0.74755859375, 0.00969696044921875, -0.07177734375, 0.7919921875, 0.599609375, 0.472900390625, 0.79443359375, 0.37548828125, 0.301513671875, -0.5205078125, 0.159912109375, -0.09466552734375, 0.07562255859375, -0.184326171875, -0.185546875, -1.0009765625, 0.525390625, -0.11419677734375, -0.5546875, 0.677734375, -0.375, -0.08428955078125, -0.345703125, 0.60693359375, -1.001953125, 0.52392578125, 0.250732421875, -0.57568359375, -0.6708984375, 0.9541015625, -0.1409912109375, 0.54443359375, 0.0888671875, 1.005859375, -0.191650390625, 1.404296875, 0.11639404296875, -0.363037109375, -0.1688232421875, 0.66796875, -0.35888671875, -0.69091796875, -0.4931640625, -0.456298828125, 0.265869140625, -0.5751953125, -0.41259765625, -0.057403564453125, 0.55029296875, 0.1522216796875, -1.1630859375, -0.044403076171875, 0.2347412109375, -0.990234375, 0.38623046875, 0.884765625, 0.258544921875, 0.1787109375, -0.203125, -0.1898193359375, -0.68896484375, 0.374267578125, -0.5859375, 0.228515625, -0.79248046875, -0.362060546875, -0.5556640625, -0.6533203125, -0.1788330078125, -0.1917724609375, -0.178955078125, -0.94189453125, 0.54248046875, 0.55419921875, 0.5615234375, 0.07855224609375, -0.318359375, 0.034637451171875, 0.9716796875, 0.79638671875, 0.1171875, 0.6083984375, 0.52783203125, -0.197021484375, 0.349609375, 0.089599609375, 0.415283203125, -0.002414703369140625, 0.47802734375, -0.2115478515625, 0.513671875, -0.69189453125, -1.27734375, -0.0460205078125, 0.57470703125, 0.45654296875, -0.57080078125, -0.97412109375, -0.289306640625, -1.0068359375, -0.3447265625, -0.361083984375, 0.72021484375, -0.349853515625, -0.1651611328125, 0.31787109375, -1.21875, 4.484375, 0.93115234375, 1.203125, 0.74951171875, 0.170654296875, 0.93896484375, 0.3701171875, -0.556640625, 0.102783203125, -0.135009765625, 0.461181640625, -0.5478515625, -0.2193603515625, 1.0126953125, 0.4609375, 0.385986328125, -0.492919921875, 0.160400390625, 0.0064239501953125, -0.9453125, -1.0205078125, 0.78857421875, -0.19580078125, 0.80517578125, 0.12371826171875, -0.01593017578125, 0.31787109375, -0.58837890625, -0.300537109375, -0.75830078125, 0.33984375, -0.52978515625, 0.99462890625, -0.040618896484375, -0.4228515625, 0.39990234375, -0.1754150390625, -0.66650390625, -0.269775390625, 0.2127685546875, 0.2017822265625, 0.15087890625, 0.71240234375, -0.6826171875, 0.10076904296875, 0.138916015625, -0.8017578125, 0.5419921875, 0.01016998291015625, -0.95751953125, 0.544921875, -0.31982421875, 0.193115234375, -0.70703125, -0.81103515625, -0.10614013671875, 0.22119140625, -0.431884765625, -0.2042236328125, 0.6201171875, 0.619140625, 0.259033203125, 0.50537109375, 0.59716796875, -1.341796875, 0.64111328125, -0.243896484375, 0.58740234375, -0.7041015625, -0.194091796875, -0.40673828125, -0.465576171875, -0.421142578125, -0.330078125, 0.40625, 0.1593017578125, -0.1451416015625, 0.325927734375, 0.368896484375, -1.0146484375, 0.325439453125, 0.2093505859375, -0.2347412109375, -0.64990234375, 0.771484375, 1.1552734375, -1.1162109375, -0.4072265625, -0.04705810546875, 0.30712890625, 0.56103515625, 0.462646484375, 0.32275390625, -0.5390625, -0.038299560546875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Codehorses has just hosted the second Codehorses Cup. This year, the same as the previous one, organizers are giving T-shirts for the winners. The valid sizes of T-shirts are either "M" or from 0 to 3 "X" followed by "S" or "L". For example, sizes "M", "XXS", "L", "XXXL" are valid and "XM", "Z", "XXXXL" are not. There are n winners to the cup for both the previous year and the current year. Ksenia has a list with the T-shirt sizes printed for the last year cup and is yet to send the new list to the printing office. Organizers want to distribute the prizes as soon as possible, so now Ksenia is required not to write the whole list from the scratch but just make some changes to the list of the previous year. In one second she can choose arbitrary position in any word and replace its character with some uppercase Latin letter. Ksenia can't remove or add letters in any of the words. What is the minimal number of seconds Ksenia is required to spend to change the last year list to the current one? The lists are unordered. That means, two lists are considered equal if and only if the number of occurrences of any string is the same in both lists. Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of T-shirts. The i-th of the next n lines contains a_i — the size of the i-th T-shirt of the list for the previous year. The i-th of the next n lines contains b_i — the size of the i-th T-shirt of the list for the current year. It is guaranteed that all the sizes in the input are valid. It is also guaranteed that Ksenia can produce list b from the list a. Output Print the minimal number of seconds Ksenia is required to spend to change the last year list to the current one. If the lists are already equal, print 0. Examples Input 3 XS XS M XL S XS Output 2 Input 2 XXXL XXL XXL XXXS Output 1 Input 2 M XS XS M Output 0 Note In the first example Ksenia can replace "M" with "S" and "S" in one of the occurrences of "XS" with "L". In the second example Ksenia should replace "L" in "XXXL" with "S". In the third example lists are equal. Tags: greedy, implementation Correct Solution: ``` n = int(input()) a = [] b = [] for i in range(n): a.append(input()) for i in range(n): k = input() if k in a: a.remove(k) else: b.append(k) c = [0,0,0,0] for i in range(len(a)): c[len(a[i])-1] += 1 print(sum(c)) ```
6,572
[ 0.352294921875, -0.2685546875, 0.396484375, 0.13720703125, -0.638671875, -0.358154296875, 0.007602691650390625, -0.04132080078125, -0.1011962890625, 0.55712890625, 0.6669921875, -0.26806640625, 0.0186767578125, -0.377197265625, -0.423828125, 0.33935546875, -0.365234375, -0.74560546875, -0.794921875, 0.2486572265625, 0.08978271484375, -0.09600830078125, -1.66796875, -0.256591796875, -0.63818359375, 0.84375, -0.030853271484375, -0.156494140625, 1.0869140625, 0.9951171875, -0.45166015625, -0.33740234375, 0.5439453125, -1.11328125, -0.297607421875, -0.64306640625, 0.286865234375, -0.46630859375, -0.626953125, -0.326416015625, 0.18798828125, -0.285400390625, 0.373291015625, -0.47802734375, -1.0244140625, -0.07659912109375, -0.2254638671875, -0.386962890625, -0.347900390625, -0.64453125, 0.182373046875, -0.228271484375, 0.15283203125, -0.12744140625, -0.1422119140625, 0.1549072265625, -0.312744140625, -0.1854248046875, -0.68310546875, -0.06292724609375, 0.301025390625, 0.07110595703125, -0.161865234375, -0.61181640625, 0.198486328125, 0.370361328125, 0.19287109375, -0.06988525390625, 0.157470703125, -0.5791015625, 0.2039794921875, 0.33837890625, -0.513671875, -0.63720703125, -0.265869140625, 0.1251220703125, 0.203857421875, -0.1263427734375, -0.779296875, 0.6875, 0.1502685546875, 0.96337890625, 0.1192626953125, 0.254150390625, -0.4501953125, -0.415283203125, 0.197998046875, 0.2427978515625, 0.232421875, -0.0390625, -0.131103515625, 0.6171875, -0.7509765625, 0.0355224609375, 0.7333984375, 0.55419921875, -0.050811767578125, 0.27783203125, 0.2509765625, 0.0792236328125, 0.78076171875, 0.81103515625, -0.36474609375, 1.162109375, -0.44873046875, 0.07171630859375, 0.70654296875, -0.169921875, -0.3046875, -0.357666015625, -0.20068359375, -0.2144775390625, 0.390625, 0.53515625, 0.126708984375, 0.9150390625, -0.10833740234375, 0.30908203125, -0.63427734375, 0.0171966552734375, 0.6953125, 0.1661376953125, 0.42626953125, 0.04302978515625, 0.1390380859375, -0.5693359375, -0.1705322265625, 1.060546875, -0.498779296875, -0.05548095703125, 0.273681640625, -0.1898193359375, -0.1494140625, 0.145751953125, -0.0196533203125, 0.77734375, -0.475341796875, 0.78466796875, 0.210693359375, -0.60009765625, 0.53857421875, -0.1456298828125, -0.332275390625, 1.337890625, 0.61279296875, 0.09698486328125, 0.68505859375, 0.03955078125, -0.96337890625, -0.00728607177734375, -0.77880859375, 0.7421875, -0.00824737548828125, 0.468017578125, -0.000040531158447265625, -0.121337890625, -0.4169921875, 0.27490234375, 0.165771484375, -0.050811767578125, -0.322265625, 0.09197998046875, -0.07159423828125, 1.072265625, -0.5185546875, 0.7353515625, -0.6435546875, -0.2108154296875, -0.46484375, -0.5009765625, 0.302734375, -0.28076171875, -0.1246337890625, 0.58740234375, 0.467041015625, 1.1298828125, 0.859375, -0.374267578125, 0.24462890625, 0.1361083984375, -0.318359375, 0.11712646484375, 0.340087890625, 1.1376953125, 0.0179901123046875, 0.26611328125, 0.426025390625, -0.431640625, -0.5546875, -0.60791015625, 0.21142578125, 0.248046875, -0.66748046875, 0.26220703125, 0.09027099609375, 0.09112548828125, -0.544921875, 0.163818359375, -0.10205078125, -1.095703125, -0.349853515625, 0.7373046875, -0.486083984375, 0.1842041015625, -0.255126953125, -0.47314453125, 0.387939453125, 1.1865234375, -0.74755859375, 0.06646728515625, 0.27001953125, 0.05584716796875, -0.39111328125, 0.50732421875, -0.2266845703125, -0.00016248226165771484, -0.34130859375, 0.96484375, -0.6298828125, 0.05206298828125, -0.0213470458984375, 0.55810546875, 0.36376953125, 0.78173828125, -0.10687255859375, -0.290771484375, 0.62255859375, 1.2431640625, 0.1904296875, 0.6923828125, 0.06280517578125, 1.1328125, 0.7265625, 0.99755859375, 0.66943359375, 0.4091796875, 0.8486328125, 0.76953125, 0.1929931640625, 0.53564453125, -0.16455078125, 0.250732421875, 0.61376953125, 0.357421875, 0.2333984375, 0.09820556640625, 0.1038818359375, -0.017730712890625, -0.10321044921875, 0.41748046875, -0.15478515625, 0.81005859375, 0.1531982421875, 0.47705078125, -0.4892578125, -0.21826171875, 0.134033203125, 0.966796875, -0.77294921875, -0.42041015625, -0.447998046875, -0.108154296875, 0.2294921875, 0.0218658447265625, 0.11688232421875, 0.39013671875, 0.179931640625, 0.7275390625, -0.75537109375, -0.4638671875, -0.740234375, -1.060546875, -0.86083984375, -0.6650390625, -0.5595703125, -0.04302978515625, 0.354736328125, -0.75146484375, 0.252197265625, -0.213623046875, -0.140625, 0.09185791015625, -0.47900390625, 0.91064453125, -0.1259765625, 0.87646484375, -0.6103515625, 0.434814453125, 0.08428955078125, 1.1572265625, -1.076171875, -0.2392578125, -0.356689453125, -0.453125, 0.65673828125, -0.2432861328125, 0.28662109375, 0.000385284423828125, -0.6044921875, -1.08984375, -0.440673828125, 0.025634765625, -0.09906005859375, 0.318359375, -0.259033203125, 0.974609375, 0.430908203125, -0.77197265625, 0.671875, 0.65869140625, -1.0361328125, 0.31298828125, 0.21044921875, 0.149658203125, -0.94482421875, 1.078125, 0.329345703125, 0.2340087890625, -0.56787109375, -0.302734375, -0.61279296875, 0.03985595703125, 0.263671875, -0.233642578125, -0.56640625, 0.294677734375, 0.178466796875, -1.328125, 0.5986328125, -1.119140625, -0.78271484375, -0.08868408203125, -0.368408203125, 0.646484375, 0.7001953125, -0.136474609375, 0.247802734375, -0.048492431640625, -0.1282958984375, 0.81787109375, 0.8359375, -0.41650390625, 0.2451171875, 0.408935546875, -0.19384765625, 0.03680419921875, -0.00955963134765625, -0.60791015625, -0.484375, -0.2313232421875, 0.11102294921875, 0.78955078125, 0.669921875, 0.137939453125, 0.359375, 0.64208984375, -0.58203125, -0.40869140625, -0.0908203125, 0.76416015625, 0.323486328125, 0.5791015625, 0.283447265625, -0.311279296875, -0.375732421875, -0.962890625, 0.44091796875, 0.464111328125, 0.71484375, -0.83056640625, 0.72216796875, 0.250732421875, -0.62109375, 0.2415771484375, -0.314697265625, -0.436279296875, 0.91845703125, 0.32666015625, 0.61669921875, -0.7900390625, -0.0079498291015625, -0.462646484375, 0.18359375, 0.4755859375, 0.6162109375, 0.69873046875, -0.1217041015625, -0.54833984375, -0.384033203125, -0.39697265625, 0.035552978515625, -0.25830078125, 0.26611328125, -0.1611328125, -0.423828125, -0.74755859375, 0.20849609375, 0.62841796875, 0.39697265625, -0.00792694091796875, 0.3173828125, 0.1724853515625, 0.73193359375, 0.385009765625, -0.442626953125, 0.08685302734375, -0.60009765625, 0.8564453125, 0.1326904296875, -0.258056640625, -0.689453125, -0.5087890625, -0.2568359375, -0.040557861328125, 0.2469482421875, -0.1748046875, -0.90771484375, 0.0576171875, 0.0177154541015625, 0.7333984375, -0.292724609375, -0.391845703125, -0.145751953125, 0.333251953125, 0.06982421875, -1.08984375, 0.28076171875, -0.365234375, 0.41162109375, 0.4609375, -0.37060546875, -0.3544921875, -0.6396484375, -0.52099609375, -0.7841796875, 0.0941162109375, 0.58935546875, 0.135009765625, 0.207763671875, -1.171875, 0.263916015625, 0.67919921875, -0.350830078125, 0.10736083984375, -0.05682373046875, 0.474365234375, 0.35107421875, 0.9091796875, -0.3740234375, -0.7705078125, 0.47802734375, -1.412109375, 0.305419921875, -0.62548828125, 0.95361328125, -0.27587890625, -0.1103515625, -0.05621337890625, 0.495849609375, -0.34423828125, 0.058807373046875, -0.0823974609375, 0.04278564453125, -0.9853515625, -0.80712890625, 0.6875, -0.1907958984375, -0.465576171875, 1.1103515625, -0.230224609375, -0.462646484375, 0.357421875, 0.564453125, -0.3603515625, 0.1689453125, -0.546875, 0.321533203125, -0.39111328125, -0.52490234375, -0.05645751953125, -0.46923828125, 0.8564453125, -0.0267486572265625, -0.9892578125, -0.1324462890625, -0.95556640625, -0.271484375, 0.02569580078125, -0.309814453125, 0.70703125, 0.150390625, -0.387451171875, -0.2412109375, -0.28369140625, -0.483154296875, -0.0538330078125, -0.84765625, -0.38232421875, 0.4130859375, 0.58203125, 0.1834716796875, -0.1612548828125, -0.57763671875, 0.004627227783203125, 0.00461578369140625, -0.15966796875, -0.6630859375, -0.454833984375, -0.056793212890625, -0.420166015625, -0.1883544921875, 0.2222900390625, 0.32861328125, 0.37841796875, 0.68505859375, 0.4423828125, 0.1990966796875, 0.2015380859375, -0.252685546875, 0.8125, -0.0178070068359375, -1.0927734375, -0.50146484375, 0.50048828125, 0.461669921875, 0.65087890625, 0.400634765625, -1.080078125, -0.65966796875, -1.0693359375, 0.048858642578125, -0.44580078125, -0.061492919921875, -0.75, -0.2366943359375, -0.2880859375, 0.409423828125, -0.4033203125, -0.72998046875, 0.0160064697265625, -1.0556640625, 0.3271484375, -0.87255859375, -0.37158203125, -0.47021484375, -0.69384765625, 0.0810546875, 0.67431640625, 0.034210205078125, 0.54931640625, 0.10894775390625, -0.0345458984375, 0.036834716796875, 0.0084228515625, -0.1397705078125, -0.916015625, 0.044158935546875, 0.1552734375, -0.06610107421875, 0.09619140625, -0.465576171875, 0.9619140625, -1.001953125, 0.1136474609375, -0.333984375, -0.448974609375, -0.04315185546875, -0.38037109375, 0.81494140625, -0.296630859375, 0.1895751953125, -0.52587890625, 0.40380859375, 0.471435546875, -0.331298828125, -0.44140625, -0.5517578125, -0.654296875, -1.2998046875, 0.8505859375, -0.2403564453125, 0.10693359375, -0.7626953125, 0.12066650390625, 1.0283203125, -0.351806640625, 0.3818359375, 1.2734375, -0.039337158203125, 0.1951904296875, -0.78662109375, 0.58349609375, 0.43115234375, -0.468505859375, 0.46240234375, 0.1026611328125, -0.60400390625, 0.01044464111328125, -0.65673828125, -0.865234375, -0.5634765625, 0.1434326171875, 1.1455078125, -0.295166015625, 0.7421875, -0.21923828125, -0.95263671875, -0.5791015625, 0.63671875, 0.461669921875, 0.1783447265625, 0.52099609375, -0.1319580078125, -0.0299835205078125, -0.07415771484375, -0.346923828125, -0.31982421875, -0.19677734375, 1.197265625, -0.087890625, -0.83935546875, 1.1005859375, 0.91796875, -0.83056640625, -0.80078125, 0.233154296875, 0.1427001953125, 0.0880126953125, -0.6787109375, 0.028076171875, 0.85107421875, -0.69189453125, 0.5595703125, 0.1270751953125, 0.050628662109375, 0.279296875, -0.058502197265625, 0.5859375, -0.60546875, 0.26220703125, 0.421142578125, -0.6494140625, -0.203857421875, -0.7529296875, -0.1795654296875, -0.60400390625, 0.15380859375, 0.9443359375, -0.39599609375, 0.01439666748046875, 0.11492919921875, -0.1524658203125, 0.7998046875, -0.6484375, -0.342529296875, 0.469970703125, -0.70703125, -0.62744140625, -0.266357421875, 0.375244140625, 0.004512786865234375, 0.12481689453125, -0.724609375, 0.2188720703125, 0.61083984375, -0.061065673828125, -0.448486328125, -0.84326171875, -0.1085205078125, -1.236328125, -0.47998046875, -0.23291015625, -0.220947265625, -0.3271484375, 0.2340087890625, -0.057830810546875, -0.383056640625, -0.30712890625, 0.611328125, -0.48291015625, 0.7548828125, -0.6962890625, 0.376953125, -0.533203125, -0.3857421875, -0.59375, 0.1485595703125, -0.6435546875, -0.002105712890625, -0.8798828125, 0.293212890625, -0.3857421875, 0.599609375, -0.1201171875, 0.6962890625, -0.07342529296875, -0.79052734375, -0.1649169921875, 0.207763671875, -0.26220703125, 0.59716796875, 1.0517578125, -0.2646484375, 0.26611328125, -0.15087890625, -0.431396484375, -0.50439453125, 0.7333984375, 0.990234375, 0.01395416259765625, 0.00307464599609375, -0.32080078125, 0.099609375, -0.95556640625, 0.3173828125, -0.3125, -0.09576416015625, 0.39111328125, -0.215576171875, 0.49853515625, 0.943359375, -0.04193115234375, 0.69677734375, 0.0279998779296875, 0.0762939453125, 0.392822265625, 0.11181640625, 0.2178955078125, 0.77099609375, 0.57177734375, -0.330810546875, 0.303466796875, 0.2486572265625, -0.316162109375, 0.53271484375, -0.30078125, -0.67138671875, -0.80419921875, -0.1295166015625, -0.2607421875, 0.389892578125, 0.71240234375, -0.2509765625, -0.1859130859375, -0.3720703125, -0.62158203125, 0.280029296875, -1.232421875, -0.6494140625, 0.385498046875, -0.40625, -0.44873046875, -0.413818359375, -0.8125, -0.10992431640625, -0.035888671875, 0.2457275390625, -0.43994140625, 0.5537109375, -0.175537109375, 0.305908203125, -0.1650390625, -0.20361328125, 0.400390625, 0.7314453125, -0.38525390625, -0.7900390625, 0.1539306640625, 1.150390625, 0.2119140625, -0.0247650146484375, -0.5986328125, 0.04132080078125, 0.10479736328125, 0.08612060546875, -0.155517578125, 0.6337890625, 0.07574462890625, 0.2705078125, -0.74951171875, -0.193603515625, -0.30517578125, 0.51513671875, -0.2012939453125, -0.3310546875, -0.359130859375, 0.966796875, 0.94091796875, -0.09759521484375, 0.396240234375, 0.2333984375, 0.58447265625, -0.158935546875, -0.413818359375, -0.578125, 0.892578125, 0.447021484375, 0.814453125, -0.02398681640625, 0.1414794921875, 0.90673828125, 0.423583984375, -0.281494140625, 0.473388671875, 0.2120361328125, -0.09259033203125, -0.03759765625, -0.375, -0.16845703125, -0.140380859375, -0.54345703125, 0.423583984375, -0.67626953125, 0.00948333740234375, -0.07830810546875, -0.86669921875, 0.796875, -0.130126953125, -0.1563720703125, -0.00870513916015625, -0.7802734375, -0.0601806640625, 0.50439453125, 0.153564453125, -0.18603515625, 0.5390625, 0.5732421875, 0.8203125, 0.7646484375, 0.5390625, 0.54345703125, -0.576171875, -0.2100830078125, 0.243408203125, -0.045074462890625, -0.260498046875, -0.591796875, -0.7021484375, 0.159423828125, -0.52978515625, -0.316162109375, 0.81396484375, -0.59228515625, 0.16357421875, -0.388427734375, 0.72314453125, -0.282958984375, 0.454345703125, -0.02325439453125, -0.40966796875, -0.7861328125, 0.75048828125, -0.0245208740234375, 0.64990234375, 0.259033203125, 0.8427734375, 0.09332275390625, 1.232421875, 0.59423828125, -0.2113037109375, 0.1905517578125, 0.1588134765625, -0.61767578125, -0.61474609375, -0.33251953125, -0.552734375, 0.257568359375, -0.6376953125, -0.50048828125, -0.162841796875, 0.68505859375, -0.0111541748046875, -1.1220703125, -0.57666015625, 0.0166015625, -0.669921875, 0.207275390625, 0.406005859375, 0.0014543533325195312, -0.1776123046875, -0.1776123046875, -0.0340576171875, -0.346435546875, 0.63525390625, -0.306640625, 0.28662109375, -0.38134765625, -0.50390625, -0.428466796875, -0.626953125, -0.1893310546875, -0.0897216796875, -0.287353515625, -0.4013671875, 0.39794921875, 0.38037109375, 0.4521484375, 0.26123046875, 0.003726959228515625, 0.08135986328125, 1.2470703125, 1.1669921875, 0.1456298828125, 0.84228515625, 0.2218017578125, -0.46923828125, 0.210693359375, -0.5634765625, 0.26708984375, -0.24951171875, 0.1251220703125, -0.305908203125, 0.265625, -0.306396484375, -1.283203125, -0.15771484375, 0.28466796875, 0.182861328125, -0.52392578125, -0.98583984375, -0.46435546875, -0.9150390625, -0.01800537109375, -0.7998046875, 0.86572265625, 0.00975799560546875, 0.0975341796875, 0.1514892578125, -1.3203125, 4.4765625, 0.9033203125, 1.021484375, 0.292236328125, 0.459716796875, 0.80224609375, 0.237060546875, -0.1514892578125, -0.2208251953125, -0.3408203125, 0.1097412109375, -0.48681640625, -0.119140625, 0.3818359375, -0.068603515625, 0.27685546875, -0.775390625, -0.0382080078125, 0.046295166015625, -0.61279296875, -0.708984375, 0.312744140625, 0.351318359375, 0.6103515625, -0.09136962890625, -0.12408447265625, 0.348876953125, -0.87744140625, -0.42431640625, -0.61328125, 0.57470703125, -0.417724609375, 0.86279296875, 0.1685791015625, -0.183837890625, 0.48779296875, -0.329345703125, -0.384521484375, -0.587890625, -0.0285186767578125, -0.1422119140625, 0.1339111328125, 0.63427734375, -0.68115234375, 0.27099609375, 0.2083740234375, -0.55517578125, 0.36572265625, 0.357177734375, -0.79150390625, 1.046875, -0.266845703125, 0.51171875, -0.75146484375, -0.58837890625, -0.173095703125, 0.2607421875, 0.1776123046875, 0.059356689453125, 0.352294921875, 0.23681640625, 0.482177734375, 0.1505126953125, 0.6337890625, -1.1005859375, 0.75634765625, -0.0460205078125, 0.35888671875, -0.27490234375, -0.57177734375, -0.424072265625, -0.43310546875, -0.1297607421875, -0.56689453125, 0.4365234375, 0.166259765625, -0.106689453125, 1.0263671875, 0.63818359375, -0.8427734375, 0.236083984375, -0.2454833984375, -0.52587890625, -0.2396240234375, 0.4189453125, 1.1865234375, -0.7255859375, -0.0128173828125, -0.07958984375, 0.814453125, 0.65087890625, 1.001953125, 0.186279296875, -0.050140380859375, -0.421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Codehorses has just hosted the second Codehorses Cup. This year, the same as the previous one, organizers are giving T-shirts for the winners. The valid sizes of T-shirts are either "M" or from 0 to 3 "X" followed by "S" or "L". For example, sizes "M", "XXS", "L", "XXXL" are valid and "XM", "Z", "XXXXL" are not. There are n winners to the cup for both the previous year and the current year. Ksenia has a list with the T-shirt sizes printed for the last year cup and is yet to send the new list to the printing office. Organizers want to distribute the prizes as soon as possible, so now Ksenia is required not to write the whole list from the scratch but just make some changes to the list of the previous year. In one second she can choose arbitrary position in any word and replace its character with some uppercase Latin letter. Ksenia can't remove or add letters in any of the words. What is the minimal number of seconds Ksenia is required to spend to change the last year list to the current one? The lists are unordered. That means, two lists are considered equal if and only if the number of occurrences of any string is the same in both lists. Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of T-shirts. The i-th of the next n lines contains a_i — the size of the i-th T-shirt of the list for the previous year. The i-th of the next n lines contains b_i — the size of the i-th T-shirt of the list for the current year. It is guaranteed that all the sizes in the input are valid. It is also guaranteed that Ksenia can produce list b from the list a. Output Print the minimal number of seconds Ksenia is required to spend to change the last year list to the current one. If the lists are already equal, print 0. Examples Input 3 XS XS M XL S XS Output 2 Input 2 XXXL XXL XXL XXXS Output 1 Input 2 M XS XS M Output 0 Note In the first example Ksenia can replace "M" with "S" and "S" in one of the occurrences of "XS" with "L". In the second example Ksenia should replace "L" in "XXXL" with "S". In the third example lists are equal. Tags: greedy, implementation Correct Solution: ``` n = int(input()) a , b = [] , [] for i in range(n): x = input() a.append(x) for i in range(n): x = input() if x in a : a.remove(x) print(len(a)) ```
6,573
[ 0.352294921875, -0.2685546875, 0.396484375, 0.13720703125, -0.638671875, -0.358154296875, 0.007602691650390625, -0.04132080078125, -0.1011962890625, 0.55712890625, 0.6669921875, -0.26806640625, 0.0186767578125, -0.377197265625, -0.423828125, 0.33935546875, -0.365234375, -0.74560546875, -0.794921875, 0.2486572265625, 0.08978271484375, -0.09600830078125, -1.66796875, -0.256591796875, -0.63818359375, 0.84375, -0.030853271484375, -0.156494140625, 1.0869140625, 0.9951171875, -0.45166015625, -0.33740234375, 0.5439453125, -1.11328125, -0.297607421875, -0.64306640625, 0.286865234375, -0.46630859375, -0.626953125, -0.326416015625, 0.18798828125, -0.285400390625, 0.373291015625, -0.47802734375, -1.0244140625, -0.07659912109375, -0.2254638671875, -0.386962890625, -0.347900390625, -0.64453125, 0.182373046875, -0.228271484375, 0.15283203125, -0.12744140625, -0.1422119140625, 0.1549072265625, -0.312744140625, -0.1854248046875, -0.68310546875, -0.06292724609375, 0.301025390625, 0.07110595703125, -0.161865234375, -0.61181640625, 0.198486328125, 0.370361328125, 0.19287109375, -0.06988525390625, 0.157470703125, -0.5791015625, 0.2039794921875, 0.33837890625, -0.513671875, -0.63720703125, -0.265869140625, 0.1251220703125, 0.203857421875, -0.1263427734375, -0.779296875, 0.6875, 0.1502685546875, 0.96337890625, 0.1192626953125, 0.254150390625, -0.4501953125, -0.415283203125, 0.197998046875, 0.2427978515625, 0.232421875, -0.0390625, -0.131103515625, 0.6171875, -0.7509765625, 0.0355224609375, 0.7333984375, 0.55419921875, -0.050811767578125, 0.27783203125, 0.2509765625, 0.0792236328125, 0.78076171875, 0.81103515625, -0.36474609375, 1.162109375, -0.44873046875, 0.07171630859375, 0.70654296875, -0.169921875, -0.3046875, -0.357666015625, -0.20068359375, -0.2144775390625, 0.390625, 0.53515625, 0.126708984375, 0.9150390625, -0.10833740234375, 0.30908203125, -0.63427734375, 0.0171966552734375, 0.6953125, 0.1661376953125, 0.42626953125, 0.04302978515625, 0.1390380859375, -0.5693359375, -0.1705322265625, 1.060546875, -0.498779296875, -0.05548095703125, 0.273681640625, -0.1898193359375, -0.1494140625, 0.145751953125, -0.0196533203125, 0.77734375, -0.475341796875, 0.78466796875, 0.210693359375, -0.60009765625, 0.53857421875, -0.1456298828125, -0.332275390625, 1.337890625, 0.61279296875, 0.09698486328125, 0.68505859375, 0.03955078125, -0.96337890625, -0.00728607177734375, -0.77880859375, 0.7421875, -0.00824737548828125, 0.468017578125, -0.000040531158447265625, -0.121337890625, -0.4169921875, 0.27490234375, 0.165771484375, -0.050811767578125, -0.322265625, 0.09197998046875, -0.07159423828125, 1.072265625, -0.5185546875, 0.7353515625, -0.6435546875, -0.2108154296875, -0.46484375, -0.5009765625, 0.302734375, -0.28076171875, -0.1246337890625, 0.58740234375, 0.467041015625, 1.1298828125, 0.859375, -0.374267578125, 0.24462890625, 0.1361083984375, -0.318359375, 0.11712646484375, 0.340087890625, 1.1376953125, 0.0179901123046875, 0.26611328125, 0.426025390625, -0.431640625, -0.5546875, -0.60791015625, 0.21142578125, 0.248046875, -0.66748046875, 0.26220703125, 0.09027099609375, 0.09112548828125, -0.544921875, 0.163818359375, -0.10205078125, -1.095703125, -0.349853515625, 0.7373046875, -0.486083984375, 0.1842041015625, -0.255126953125, -0.47314453125, 0.387939453125, 1.1865234375, -0.74755859375, 0.06646728515625, 0.27001953125, 0.05584716796875, -0.39111328125, 0.50732421875, -0.2266845703125, -0.00016248226165771484, -0.34130859375, 0.96484375, -0.6298828125, 0.05206298828125, -0.0213470458984375, 0.55810546875, 0.36376953125, 0.78173828125, -0.10687255859375, -0.290771484375, 0.62255859375, 1.2431640625, 0.1904296875, 0.6923828125, 0.06280517578125, 1.1328125, 0.7265625, 0.99755859375, 0.66943359375, 0.4091796875, 0.8486328125, 0.76953125, 0.1929931640625, 0.53564453125, -0.16455078125, 0.250732421875, 0.61376953125, 0.357421875, 0.2333984375, 0.09820556640625, 0.1038818359375, -0.017730712890625, -0.10321044921875, 0.41748046875, -0.15478515625, 0.81005859375, 0.1531982421875, 0.47705078125, -0.4892578125, -0.21826171875, 0.134033203125, 0.966796875, -0.77294921875, -0.42041015625, -0.447998046875, -0.108154296875, 0.2294921875, 0.0218658447265625, 0.11688232421875, 0.39013671875, 0.179931640625, 0.7275390625, -0.75537109375, -0.4638671875, -0.740234375, -1.060546875, -0.86083984375, -0.6650390625, -0.5595703125, -0.04302978515625, 0.354736328125, -0.75146484375, 0.252197265625, -0.213623046875, -0.140625, 0.09185791015625, -0.47900390625, 0.91064453125, -0.1259765625, 0.87646484375, -0.6103515625, 0.434814453125, 0.08428955078125, 1.1572265625, -1.076171875, -0.2392578125, -0.356689453125, -0.453125, 0.65673828125, -0.2432861328125, 0.28662109375, 0.000385284423828125, -0.6044921875, -1.08984375, -0.440673828125, 0.025634765625, -0.09906005859375, 0.318359375, -0.259033203125, 0.974609375, 0.430908203125, -0.77197265625, 0.671875, 0.65869140625, -1.0361328125, 0.31298828125, 0.21044921875, 0.149658203125, -0.94482421875, 1.078125, 0.329345703125, 0.2340087890625, -0.56787109375, -0.302734375, -0.61279296875, 0.03985595703125, 0.263671875, -0.233642578125, -0.56640625, 0.294677734375, 0.178466796875, -1.328125, 0.5986328125, -1.119140625, -0.78271484375, -0.08868408203125, -0.368408203125, 0.646484375, 0.7001953125, -0.136474609375, 0.247802734375, -0.048492431640625, -0.1282958984375, 0.81787109375, 0.8359375, -0.41650390625, 0.2451171875, 0.408935546875, -0.19384765625, 0.03680419921875, -0.00955963134765625, -0.60791015625, -0.484375, -0.2313232421875, 0.11102294921875, 0.78955078125, 0.669921875, 0.137939453125, 0.359375, 0.64208984375, -0.58203125, -0.40869140625, -0.0908203125, 0.76416015625, 0.323486328125, 0.5791015625, 0.283447265625, -0.311279296875, -0.375732421875, -0.962890625, 0.44091796875, 0.464111328125, 0.71484375, -0.83056640625, 0.72216796875, 0.250732421875, -0.62109375, 0.2415771484375, -0.314697265625, -0.436279296875, 0.91845703125, 0.32666015625, 0.61669921875, -0.7900390625, -0.0079498291015625, -0.462646484375, 0.18359375, 0.4755859375, 0.6162109375, 0.69873046875, -0.1217041015625, -0.54833984375, -0.384033203125, -0.39697265625, 0.035552978515625, -0.25830078125, 0.26611328125, -0.1611328125, -0.423828125, -0.74755859375, 0.20849609375, 0.62841796875, 0.39697265625, -0.00792694091796875, 0.3173828125, 0.1724853515625, 0.73193359375, 0.385009765625, -0.442626953125, 0.08685302734375, -0.60009765625, 0.8564453125, 0.1326904296875, -0.258056640625, -0.689453125, -0.5087890625, -0.2568359375, -0.040557861328125, 0.2469482421875, -0.1748046875, -0.90771484375, 0.0576171875, 0.0177154541015625, 0.7333984375, -0.292724609375, -0.391845703125, -0.145751953125, 0.333251953125, 0.06982421875, -1.08984375, 0.28076171875, -0.365234375, 0.41162109375, 0.4609375, -0.37060546875, -0.3544921875, -0.6396484375, -0.52099609375, -0.7841796875, 0.0941162109375, 0.58935546875, 0.135009765625, 0.207763671875, -1.171875, 0.263916015625, 0.67919921875, -0.350830078125, 0.10736083984375, -0.05682373046875, 0.474365234375, 0.35107421875, 0.9091796875, -0.3740234375, -0.7705078125, 0.47802734375, -1.412109375, 0.305419921875, -0.62548828125, 0.95361328125, -0.27587890625, -0.1103515625, -0.05621337890625, 0.495849609375, -0.34423828125, 0.058807373046875, -0.0823974609375, 0.04278564453125, -0.9853515625, -0.80712890625, 0.6875, -0.1907958984375, -0.465576171875, 1.1103515625, -0.230224609375, -0.462646484375, 0.357421875, 0.564453125, -0.3603515625, 0.1689453125, -0.546875, 0.321533203125, -0.39111328125, -0.52490234375, -0.05645751953125, -0.46923828125, 0.8564453125, -0.0267486572265625, -0.9892578125, -0.1324462890625, -0.95556640625, -0.271484375, 0.02569580078125, -0.309814453125, 0.70703125, 0.150390625, -0.387451171875, -0.2412109375, -0.28369140625, -0.483154296875, -0.0538330078125, -0.84765625, -0.38232421875, 0.4130859375, 0.58203125, 0.1834716796875, -0.1612548828125, -0.57763671875, 0.004627227783203125, 0.00461578369140625, -0.15966796875, -0.6630859375, -0.454833984375, -0.056793212890625, -0.420166015625, -0.1883544921875, 0.2222900390625, 0.32861328125, 0.37841796875, 0.68505859375, 0.4423828125, 0.1990966796875, 0.2015380859375, -0.252685546875, 0.8125, -0.0178070068359375, -1.0927734375, -0.50146484375, 0.50048828125, 0.461669921875, 0.65087890625, 0.400634765625, -1.080078125, -0.65966796875, -1.0693359375, 0.048858642578125, -0.44580078125, -0.061492919921875, -0.75, -0.2366943359375, -0.2880859375, 0.409423828125, -0.4033203125, -0.72998046875, 0.0160064697265625, -1.0556640625, 0.3271484375, -0.87255859375, -0.37158203125, -0.47021484375, -0.69384765625, 0.0810546875, 0.67431640625, 0.034210205078125, 0.54931640625, 0.10894775390625, -0.0345458984375, 0.036834716796875, 0.0084228515625, -0.1397705078125, -0.916015625, 0.044158935546875, 0.1552734375, -0.06610107421875, 0.09619140625, -0.465576171875, 0.9619140625, -1.001953125, 0.1136474609375, -0.333984375, -0.448974609375, -0.04315185546875, -0.38037109375, 0.81494140625, -0.296630859375, 0.1895751953125, -0.52587890625, 0.40380859375, 0.471435546875, -0.331298828125, -0.44140625, -0.5517578125, -0.654296875, -1.2998046875, 0.8505859375, -0.2403564453125, 0.10693359375, -0.7626953125, 0.12066650390625, 1.0283203125, -0.351806640625, 0.3818359375, 1.2734375, -0.039337158203125, 0.1951904296875, -0.78662109375, 0.58349609375, 0.43115234375, -0.468505859375, 0.46240234375, 0.1026611328125, -0.60400390625, 0.01044464111328125, -0.65673828125, -0.865234375, -0.5634765625, 0.1434326171875, 1.1455078125, -0.295166015625, 0.7421875, -0.21923828125, -0.95263671875, -0.5791015625, 0.63671875, 0.461669921875, 0.1783447265625, 0.52099609375, -0.1319580078125, -0.0299835205078125, -0.07415771484375, -0.346923828125, -0.31982421875, -0.19677734375, 1.197265625, -0.087890625, -0.83935546875, 1.1005859375, 0.91796875, -0.83056640625, -0.80078125, 0.233154296875, 0.1427001953125, 0.0880126953125, -0.6787109375, 0.028076171875, 0.85107421875, -0.69189453125, 0.5595703125, 0.1270751953125, 0.050628662109375, 0.279296875, -0.058502197265625, 0.5859375, -0.60546875, 0.26220703125, 0.421142578125, -0.6494140625, -0.203857421875, -0.7529296875, -0.1795654296875, -0.60400390625, 0.15380859375, 0.9443359375, -0.39599609375, 0.01439666748046875, 0.11492919921875, -0.1524658203125, 0.7998046875, -0.6484375, -0.342529296875, 0.469970703125, -0.70703125, -0.62744140625, -0.266357421875, 0.375244140625, 0.004512786865234375, 0.12481689453125, -0.724609375, 0.2188720703125, 0.61083984375, -0.061065673828125, -0.448486328125, -0.84326171875, -0.1085205078125, -1.236328125, -0.47998046875, -0.23291015625, -0.220947265625, -0.3271484375, 0.2340087890625, -0.057830810546875, -0.383056640625, -0.30712890625, 0.611328125, -0.48291015625, 0.7548828125, -0.6962890625, 0.376953125, -0.533203125, -0.3857421875, -0.59375, 0.1485595703125, -0.6435546875, -0.002105712890625, -0.8798828125, 0.293212890625, -0.3857421875, 0.599609375, -0.1201171875, 0.6962890625, -0.07342529296875, -0.79052734375, -0.1649169921875, 0.207763671875, -0.26220703125, 0.59716796875, 1.0517578125, -0.2646484375, 0.26611328125, -0.15087890625, -0.431396484375, -0.50439453125, 0.7333984375, 0.990234375, 0.01395416259765625, 0.00307464599609375, -0.32080078125, 0.099609375, -0.95556640625, 0.3173828125, -0.3125, -0.09576416015625, 0.39111328125, -0.215576171875, 0.49853515625, 0.943359375, -0.04193115234375, 0.69677734375, 0.0279998779296875, 0.0762939453125, 0.392822265625, 0.11181640625, 0.2178955078125, 0.77099609375, 0.57177734375, -0.330810546875, 0.303466796875, 0.2486572265625, -0.316162109375, 0.53271484375, -0.30078125, -0.67138671875, -0.80419921875, -0.1295166015625, -0.2607421875, 0.389892578125, 0.71240234375, -0.2509765625, -0.1859130859375, -0.3720703125, -0.62158203125, 0.280029296875, -1.232421875, -0.6494140625, 0.385498046875, -0.40625, -0.44873046875, -0.413818359375, -0.8125, -0.10992431640625, -0.035888671875, 0.2457275390625, -0.43994140625, 0.5537109375, -0.175537109375, 0.305908203125, -0.1650390625, -0.20361328125, 0.400390625, 0.7314453125, -0.38525390625, -0.7900390625, 0.1539306640625, 1.150390625, 0.2119140625, -0.0247650146484375, -0.5986328125, 0.04132080078125, 0.10479736328125, 0.08612060546875, -0.155517578125, 0.6337890625, 0.07574462890625, 0.2705078125, -0.74951171875, -0.193603515625, -0.30517578125, 0.51513671875, -0.2012939453125, -0.3310546875, -0.359130859375, 0.966796875, 0.94091796875, -0.09759521484375, 0.396240234375, 0.2333984375, 0.58447265625, -0.158935546875, -0.413818359375, -0.578125, 0.892578125, 0.447021484375, 0.814453125, -0.02398681640625, 0.1414794921875, 0.90673828125, 0.423583984375, -0.281494140625, 0.473388671875, 0.2120361328125, -0.09259033203125, -0.03759765625, -0.375, -0.16845703125, -0.140380859375, -0.54345703125, 0.423583984375, -0.67626953125, 0.00948333740234375, -0.07830810546875, -0.86669921875, 0.796875, -0.130126953125, -0.1563720703125, -0.00870513916015625, -0.7802734375, -0.0601806640625, 0.50439453125, 0.153564453125, -0.18603515625, 0.5390625, 0.5732421875, 0.8203125, 0.7646484375, 0.5390625, 0.54345703125, -0.576171875, -0.2100830078125, 0.243408203125, -0.045074462890625, -0.260498046875, -0.591796875, -0.7021484375, 0.159423828125, -0.52978515625, -0.316162109375, 0.81396484375, -0.59228515625, 0.16357421875, -0.388427734375, 0.72314453125, -0.282958984375, 0.454345703125, -0.02325439453125, -0.40966796875, -0.7861328125, 0.75048828125, -0.0245208740234375, 0.64990234375, 0.259033203125, 0.8427734375, 0.09332275390625, 1.232421875, 0.59423828125, -0.2113037109375, 0.1905517578125, 0.1588134765625, -0.61767578125, -0.61474609375, -0.33251953125, -0.552734375, 0.257568359375, -0.6376953125, -0.50048828125, -0.162841796875, 0.68505859375, -0.0111541748046875, -1.1220703125, -0.57666015625, 0.0166015625, -0.669921875, 0.207275390625, 0.406005859375, 0.0014543533325195312, -0.1776123046875, -0.1776123046875, -0.0340576171875, -0.346435546875, 0.63525390625, -0.306640625, 0.28662109375, -0.38134765625, -0.50390625, -0.428466796875, -0.626953125, -0.1893310546875, -0.0897216796875, -0.287353515625, -0.4013671875, 0.39794921875, 0.38037109375, 0.4521484375, 0.26123046875, 0.003726959228515625, 0.08135986328125, 1.2470703125, 1.1669921875, 0.1456298828125, 0.84228515625, 0.2218017578125, -0.46923828125, 0.210693359375, -0.5634765625, 0.26708984375, -0.24951171875, 0.1251220703125, -0.305908203125, 0.265625, -0.306396484375, -1.283203125, -0.15771484375, 0.28466796875, 0.182861328125, -0.52392578125, -0.98583984375, -0.46435546875, -0.9150390625, -0.01800537109375, -0.7998046875, 0.86572265625, 0.00975799560546875, 0.0975341796875, 0.1514892578125, -1.3203125, 4.4765625, 0.9033203125, 1.021484375, 0.292236328125, 0.459716796875, 0.80224609375, 0.237060546875, -0.1514892578125, -0.2208251953125, -0.3408203125, 0.1097412109375, -0.48681640625, -0.119140625, 0.3818359375, -0.068603515625, 0.27685546875, -0.775390625, -0.0382080078125, 0.046295166015625, -0.61279296875, -0.708984375, 0.312744140625, 0.351318359375, 0.6103515625, -0.09136962890625, -0.12408447265625, 0.348876953125, -0.87744140625, -0.42431640625, -0.61328125, 0.57470703125, -0.417724609375, 0.86279296875, 0.1685791015625, -0.183837890625, 0.48779296875, -0.329345703125, -0.384521484375, -0.587890625, -0.0285186767578125, -0.1422119140625, 0.1339111328125, 0.63427734375, -0.68115234375, 0.27099609375, 0.2083740234375, -0.55517578125, 0.36572265625, 0.357177734375, -0.79150390625, 1.046875, -0.266845703125, 0.51171875, -0.75146484375, -0.58837890625, -0.173095703125, 0.2607421875, 0.1776123046875, 0.059356689453125, 0.352294921875, 0.23681640625, 0.482177734375, 0.1505126953125, 0.6337890625, -1.1005859375, 0.75634765625, -0.0460205078125, 0.35888671875, -0.27490234375, -0.57177734375, -0.424072265625, -0.43310546875, -0.1297607421875, -0.56689453125, 0.4365234375, 0.166259765625, -0.106689453125, 1.0263671875, 0.63818359375, -0.8427734375, 0.236083984375, -0.2454833984375, -0.52587890625, -0.2396240234375, 0.4189453125, 1.1865234375, -0.7255859375, -0.0128173828125, -0.07958984375, 0.814453125, 0.65087890625, 1.001953125, 0.186279296875, -0.050140380859375, -0.421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Codehorses has just hosted the second Codehorses Cup. This year, the same as the previous one, organizers are giving T-shirts for the winners. The valid sizes of T-shirts are either "M" or from 0 to 3 "X" followed by "S" or "L". For example, sizes "M", "XXS", "L", "XXXL" are valid and "XM", "Z", "XXXXL" are not. There are n winners to the cup for both the previous year and the current year. Ksenia has a list with the T-shirt sizes printed for the last year cup and is yet to send the new list to the printing office. Organizers want to distribute the prizes as soon as possible, so now Ksenia is required not to write the whole list from the scratch but just make some changes to the list of the previous year. In one second she can choose arbitrary position in any word and replace its character with some uppercase Latin letter. Ksenia can't remove or add letters in any of the words. What is the minimal number of seconds Ksenia is required to spend to change the last year list to the current one? The lists are unordered. That means, two lists are considered equal if and only if the number of occurrences of any string is the same in both lists. Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of T-shirts. The i-th of the next n lines contains a_i — the size of the i-th T-shirt of the list for the previous year. The i-th of the next n lines contains b_i — the size of the i-th T-shirt of the list for the current year. It is guaranteed that all the sizes in the input are valid. It is also guaranteed that Ksenia can produce list b from the list a. Output Print the minimal number of seconds Ksenia is required to spend to change the last year list to the current one. If the lists are already equal, print 0. Examples Input 3 XS XS M XL S XS Output 2 Input 2 XXXL XXL XXL XXXS Output 1 Input 2 M XS XS M Output 0 Note In the first example Ksenia can replace "M" with "S" and "S" in one of the occurrences of "XS" with "L". In the second example Ksenia should replace "L" in "XXXL" with "S". In the third example lists are equal. Tags: greedy, implementation Correct Solution: ``` #!/usr/bin/env python3 A = [] B = [] N = int(input()) for i in range(N): A.append(input()) for i in range(N): B.append(input()) ans = 0 for i in B: if i in A: x = A.index(i) A = A[:x] + A[x + 1:] else: ans += 1 print(ans) ```
6,574
[ 0.352294921875, -0.2685546875, 0.396484375, 0.13720703125, -0.638671875, -0.358154296875, 0.007602691650390625, -0.04132080078125, -0.1011962890625, 0.55712890625, 0.6669921875, -0.26806640625, 0.0186767578125, -0.377197265625, -0.423828125, 0.33935546875, -0.365234375, -0.74560546875, -0.794921875, 0.2486572265625, 0.08978271484375, -0.09600830078125, -1.66796875, -0.256591796875, -0.63818359375, 0.84375, -0.030853271484375, -0.156494140625, 1.0869140625, 0.9951171875, -0.45166015625, -0.33740234375, 0.5439453125, -1.11328125, -0.297607421875, -0.64306640625, 0.286865234375, -0.46630859375, -0.626953125, -0.326416015625, 0.18798828125, -0.285400390625, 0.373291015625, -0.47802734375, -1.0244140625, -0.07659912109375, -0.2254638671875, -0.386962890625, -0.347900390625, -0.64453125, 0.182373046875, -0.228271484375, 0.15283203125, -0.12744140625, -0.1422119140625, 0.1549072265625, -0.312744140625, -0.1854248046875, -0.68310546875, -0.06292724609375, 0.301025390625, 0.07110595703125, -0.161865234375, -0.61181640625, 0.198486328125, 0.370361328125, 0.19287109375, -0.06988525390625, 0.157470703125, -0.5791015625, 0.2039794921875, 0.33837890625, -0.513671875, -0.63720703125, -0.265869140625, 0.1251220703125, 0.203857421875, -0.1263427734375, -0.779296875, 0.6875, 0.1502685546875, 0.96337890625, 0.1192626953125, 0.254150390625, -0.4501953125, -0.415283203125, 0.197998046875, 0.2427978515625, 0.232421875, -0.0390625, -0.131103515625, 0.6171875, -0.7509765625, 0.0355224609375, 0.7333984375, 0.55419921875, -0.050811767578125, 0.27783203125, 0.2509765625, 0.0792236328125, 0.78076171875, 0.81103515625, -0.36474609375, 1.162109375, -0.44873046875, 0.07171630859375, 0.70654296875, -0.169921875, -0.3046875, -0.357666015625, -0.20068359375, -0.2144775390625, 0.390625, 0.53515625, 0.126708984375, 0.9150390625, -0.10833740234375, 0.30908203125, -0.63427734375, 0.0171966552734375, 0.6953125, 0.1661376953125, 0.42626953125, 0.04302978515625, 0.1390380859375, -0.5693359375, -0.1705322265625, 1.060546875, -0.498779296875, -0.05548095703125, 0.273681640625, -0.1898193359375, -0.1494140625, 0.145751953125, -0.0196533203125, 0.77734375, -0.475341796875, 0.78466796875, 0.210693359375, -0.60009765625, 0.53857421875, -0.1456298828125, -0.332275390625, 1.337890625, 0.61279296875, 0.09698486328125, 0.68505859375, 0.03955078125, -0.96337890625, -0.00728607177734375, -0.77880859375, 0.7421875, -0.00824737548828125, 0.468017578125, -0.000040531158447265625, -0.121337890625, -0.4169921875, 0.27490234375, 0.165771484375, -0.050811767578125, -0.322265625, 0.09197998046875, -0.07159423828125, 1.072265625, -0.5185546875, 0.7353515625, -0.6435546875, -0.2108154296875, -0.46484375, -0.5009765625, 0.302734375, -0.28076171875, -0.1246337890625, 0.58740234375, 0.467041015625, 1.1298828125, 0.859375, -0.374267578125, 0.24462890625, 0.1361083984375, -0.318359375, 0.11712646484375, 0.340087890625, 1.1376953125, 0.0179901123046875, 0.26611328125, 0.426025390625, -0.431640625, -0.5546875, -0.60791015625, 0.21142578125, 0.248046875, -0.66748046875, 0.26220703125, 0.09027099609375, 0.09112548828125, -0.544921875, 0.163818359375, -0.10205078125, -1.095703125, -0.349853515625, 0.7373046875, -0.486083984375, 0.1842041015625, -0.255126953125, -0.47314453125, 0.387939453125, 1.1865234375, -0.74755859375, 0.06646728515625, 0.27001953125, 0.05584716796875, -0.39111328125, 0.50732421875, -0.2266845703125, -0.00016248226165771484, -0.34130859375, 0.96484375, -0.6298828125, 0.05206298828125, -0.0213470458984375, 0.55810546875, 0.36376953125, 0.78173828125, -0.10687255859375, -0.290771484375, 0.62255859375, 1.2431640625, 0.1904296875, 0.6923828125, 0.06280517578125, 1.1328125, 0.7265625, 0.99755859375, 0.66943359375, 0.4091796875, 0.8486328125, 0.76953125, 0.1929931640625, 0.53564453125, -0.16455078125, 0.250732421875, 0.61376953125, 0.357421875, 0.2333984375, 0.09820556640625, 0.1038818359375, -0.017730712890625, -0.10321044921875, 0.41748046875, -0.15478515625, 0.81005859375, 0.1531982421875, 0.47705078125, -0.4892578125, -0.21826171875, 0.134033203125, 0.966796875, -0.77294921875, -0.42041015625, -0.447998046875, -0.108154296875, 0.2294921875, 0.0218658447265625, 0.11688232421875, 0.39013671875, 0.179931640625, 0.7275390625, -0.75537109375, -0.4638671875, -0.740234375, -1.060546875, -0.86083984375, -0.6650390625, -0.5595703125, -0.04302978515625, 0.354736328125, -0.75146484375, 0.252197265625, -0.213623046875, -0.140625, 0.09185791015625, -0.47900390625, 0.91064453125, -0.1259765625, 0.87646484375, -0.6103515625, 0.434814453125, 0.08428955078125, 1.1572265625, -1.076171875, -0.2392578125, -0.356689453125, -0.453125, 0.65673828125, -0.2432861328125, 0.28662109375, 0.000385284423828125, -0.6044921875, -1.08984375, -0.440673828125, 0.025634765625, -0.09906005859375, 0.318359375, -0.259033203125, 0.974609375, 0.430908203125, -0.77197265625, 0.671875, 0.65869140625, -1.0361328125, 0.31298828125, 0.21044921875, 0.149658203125, -0.94482421875, 1.078125, 0.329345703125, 0.2340087890625, -0.56787109375, -0.302734375, -0.61279296875, 0.03985595703125, 0.263671875, -0.233642578125, -0.56640625, 0.294677734375, 0.178466796875, -1.328125, 0.5986328125, -1.119140625, -0.78271484375, -0.08868408203125, -0.368408203125, 0.646484375, 0.7001953125, -0.136474609375, 0.247802734375, -0.048492431640625, -0.1282958984375, 0.81787109375, 0.8359375, -0.41650390625, 0.2451171875, 0.408935546875, -0.19384765625, 0.03680419921875, -0.00955963134765625, -0.60791015625, -0.484375, -0.2313232421875, 0.11102294921875, 0.78955078125, 0.669921875, 0.137939453125, 0.359375, 0.64208984375, -0.58203125, -0.40869140625, -0.0908203125, 0.76416015625, 0.323486328125, 0.5791015625, 0.283447265625, -0.311279296875, -0.375732421875, -0.962890625, 0.44091796875, 0.464111328125, 0.71484375, -0.83056640625, 0.72216796875, 0.250732421875, -0.62109375, 0.2415771484375, -0.314697265625, -0.436279296875, 0.91845703125, 0.32666015625, 0.61669921875, -0.7900390625, -0.0079498291015625, -0.462646484375, 0.18359375, 0.4755859375, 0.6162109375, 0.69873046875, -0.1217041015625, -0.54833984375, -0.384033203125, -0.39697265625, 0.035552978515625, -0.25830078125, 0.26611328125, -0.1611328125, -0.423828125, -0.74755859375, 0.20849609375, 0.62841796875, 0.39697265625, -0.00792694091796875, 0.3173828125, 0.1724853515625, 0.73193359375, 0.385009765625, -0.442626953125, 0.08685302734375, -0.60009765625, 0.8564453125, 0.1326904296875, -0.258056640625, -0.689453125, -0.5087890625, -0.2568359375, -0.040557861328125, 0.2469482421875, -0.1748046875, -0.90771484375, 0.0576171875, 0.0177154541015625, 0.7333984375, -0.292724609375, -0.391845703125, -0.145751953125, 0.333251953125, 0.06982421875, -1.08984375, 0.28076171875, -0.365234375, 0.41162109375, 0.4609375, -0.37060546875, -0.3544921875, -0.6396484375, -0.52099609375, -0.7841796875, 0.0941162109375, 0.58935546875, 0.135009765625, 0.207763671875, -1.171875, 0.263916015625, 0.67919921875, -0.350830078125, 0.10736083984375, -0.05682373046875, 0.474365234375, 0.35107421875, 0.9091796875, -0.3740234375, -0.7705078125, 0.47802734375, -1.412109375, 0.305419921875, -0.62548828125, 0.95361328125, -0.27587890625, -0.1103515625, -0.05621337890625, 0.495849609375, -0.34423828125, 0.058807373046875, -0.0823974609375, 0.04278564453125, -0.9853515625, -0.80712890625, 0.6875, -0.1907958984375, -0.465576171875, 1.1103515625, -0.230224609375, -0.462646484375, 0.357421875, 0.564453125, -0.3603515625, 0.1689453125, -0.546875, 0.321533203125, -0.39111328125, -0.52490234375, -0.05645751953125, -0.46923828125, 0.8564453125, -0.0267486572265625, -0.9892578125, -0.1324462890625, -0.95556640625, -0.271484375, 0.02569580078125, -0.309814453125, 0.70703125, 0.150390625, -0.387451171875, -0.2412109375, -0.28369140625, -0.483154296875, -0.0538330078125, -0.84765625, -0.38232421875, 0.4130859375, 0.58203125, 0.1834716796875, -0.1612548828125, -0.57763671875, 0.004627227783203125, 0.00461578369140625, -0.15966796875, -0.6630859375, -0.454833984375, -0.056793212890625, -0.420166015625, -0.1883544921875, 0.2222900390625, 0.32861328125, 0.37841796875, 0.68505859375, 0.4423828125, 0.1990966796875, 0.2015380859375, -0.252685546875, 0.8125, -0.0178070068359375, -1.0927734375, -0.50146484375, 0.50048828125, 0.461669921875, 0.65087890625, 0.400634765625, -1.080078125, -0.65966796875, -1.0693359375, 0.048858642578125, -0.44580078125, -0.061492919921875, -0.75, -0.2366943359375, -0.2880859375, 0.409423828125, -0.4033203125, -0.72998046875, 0.0160064697265625, -1.0556640625, 0.3271484375, -0.87255859375, -0.37158203125, -0.47021484375, -0.69384765625, 0.0810546875, 0.67431640625, 0.034210205078125, 0.54931640625, 0.10894775390625, -0.0345458984375, 0.036834716796875, 0.0084228515625, -0.1397705078125, -0.916015625, 0.044158935546875, 0.1552734375, -0.06610107421875, 0.09619140625, -0.465576171875, 0.9619140625, -1.001953125, 0.1136474609375, -0.333984375, -0.448974609375, -0.04315185546875, -0.38037109375, 0.81494140625, -0.296630859375, 0.1895751953125, -0.52587890625, 0.40380859375, 0.471435546875, -0.331298828125, -0.44140625, -0.5517578125, -0.654296875, -1.2998046875, 0.8505859375, -0.2403564453125, 0.10693359375, -0.7626953125, 0.12066650390625, 1.0283203125, -0.351806640625, 0.3818359375, 1.2734375, -0.039337158203125, 0.1951904296875, -0.78662109375, 0.58349609375, 0.43115234375, -0.468505859375, 0.46240234375, 0.1026611328125, -0.60400390625, 0.01044464111328125, -0.65673828125, -0.865234375, -0.5634765625, 0.1434326171875, 1.1455078125, -0.295166015625, 0.7421875, -0.21923828125, -0.95263671875, -0.5791015625, 0.63671875, 0.461669921875, 0.1783447265625, 0.52099609375, -0.1319580078125, -0.0299835205078125, -0.07415771484375, -0.346923828125, -0.31982421875, -0.19677734375, 1.197265625, -0.087890625, -0.83935546875, 1.1005859375, 0.91796875, -0.83056640625, -0.80078125, 0.233154296875, 0.1427001953125, 0.0880126953125, -0.6787109375, 0.028076171875, 0.85107421875, -0.69189453125, 0.5595703125, 0.1270751953125, 0.050628662109375, 0.279296875, -0.058502197265625, 0.5859375, -0.60546875, 0.26220703125, 0.421142578125, -0.6494140625, -0.203857421875, -0.7529296875, -0.1795654296875, -0.60400390625, 0.15380859375, 0.9443359375, -0.39599609375, 0.01439666748046875, 0.11492919921875, -0.1524658203125, 0.7998046875, -0.6484375, -0.342529296875, 0.469970703125, -0.70703125, -0.62744140625, -0.266357421875, 0.375244140625, 0.004512786865234375, 0.12481689453125, -0.724609375, 0.2188720703125, 0.61083984375, -0.061065673828125, -0.448486328125, -0.84326171875, -0.1085205078125, -1.236328125, -0.47998046875, -0.23291015625, -0.220947265625, -0.3271484375, 0.2340087890625, -0.057830810546875, -0.383056640625, -0.30712890625, 0.611328125, -0.48291015625, 0.7548828125, -0.6962890625, 0.376953125, -0.533203125, -0.3857421875, -0.59375, 0.1485595703125, -0.6435546875, -0.002105712890625, -0.8798828125, 0.293212890625, -0.3857421875, 0.599609375, -0.1201171875, 0.6962890625, -0.07342529296875, -0.79052734375, -0.1649169921875, 0.207763671875, -0.26220703125, 0.59716796875, 1.0517578125, -0.2646484375, 0.26611328125, -0.15087890625, -0.431396484375, -0.50439453125, 0.7333984375, 0.990234375, 0.01395416259765625, 0.00307464599609375, -0.32080078125, 0.099609375, -0.95556640625, 0.3173828125, -0.3125, -0.09576416015625, 0.39111328125, -0.215576171875, 0.49853515625, 0.943359375, -0.04193115234375, 0.69677734375, 0.0279998779296875, 0.0762939453125, 0.392822265625, 0.11181640625, 0.2178955078125, 0.77099609375, 0.57177734375, -0.330810546875, 0.303466796875, 0.2486572265625, -0.316162109375, 0.53271484375, -0.30078125, -0.67138671875, -0.80419921875, -0.1295166015625, -0.2607421875, 0.389892578125, 0.71240234375, -0.2509765625, -0.1859130859375, -0.3720703125, -0.62158203125, 0.280029296875, -1.232421875, -0.6494140625, 0.385498046875, -0.40625, -0.44873046875, -0.413818359375, -0.8125, -0.10992431640625, -0.035888671875, 0.2457275390625, -0.43994140625, 0.5537109375, -0.175537109375, 0.305908203125, -0.1650390625, -0.20361328125, 0.400390625, 0.7314453125, -0.38525390625, -0.7900390625, 0.1539306640625, 1.150390625, 0.2119140625, -0.0247650146484375, -0.5986328125, 0.04132080078125, 0.10479736328125, 0.08612060546875, -0.155517578125, 0.6337890625, 0.07574462890625, 0.2705078125, -0.74951171875, -0.193603515625, -0.30517578125, 0.51513671875, -0.2012939453125, -0.3310546875, -0.359130859375, 0.966796875, 0.94091796875, -0.09759521484375, 0.396240234375, 0.2333984375, 0.58447265625, -0.158935546875, -0.413818359375, -0.578125, 0.892578125, 0.447021484375, 0.814453125, -0.02398681640625, 0.1414794921875, 0.90673828125, 0.423583984375, -0.281494140625, 0.473388671875, 0.2120361328125, -0.09259033203125, -0.03759765625, -0.375, -0.16845703125, -0.140380859375, -0.54345703125, 0.423583984375, -0.67626953125, 0.00948333740234375, -0.07830810546875, -0.86669921875, 0.796875, -0.130126953125, -0.1563720703125, -0.00870513916015625, -0.7802734375, -0.0601806640625, 0.50439453125, 0.153564453125, -0.18603515625, 0.5390625, 0.5732421875, 0.8203125, 0.7646484375, 0.5390625, 0.54345703125, -0.576171875, -0.2100830078125, 0.243408203125, -0.045074462890625, -0.260498046875, -0.591796875, -0.7021484375, 0.159423828125, -0.52978515625, -0.316162109375, 0.81396484375, -0.59228515625, 0.16357421875, -0.388427734375, 0.72314453125, -0.282958984375, 0.454345703125, -0.02325439453125, -0.40966796875, -0.7861328125, 0.75048828125, -0.0245208740234375, 0.64990234375, 0.259033203125, 0.8427734375, 0.09332275390625, 1.232421875, 0.59423828125, -0.2113037109375, 0.1905517578125, 0.1588134765625, -0.61767578125, -0.61474609375, -0.33251953125, -0.552734375, 0.257568359375, -0.6376953125, -0.50048828125, -0.162841796875, 0.68505859375, -0.0111541748046875, -1.1220703125, -0.57666015625, 0.0166015625, -0.669921875, 0.207275390625, 0.406005859375, 0.0014543533325195312, -0.1776123046875, -0.1776123046875, -0.0340576171875, -0.346435546875, 0.63525390625, -0.306640625, 0.28662109375, -0.38134765625, -0.50390625, -0.428466796875, -0.626953125, -0.1893310546875, -0.0897216796875, -0.287353515625, -0.4013671875, 0.39794921875, 0.38037109375, 0.4521484375, 0.26123046875, 0.003726959228515625, 0.08135986328125, 1.2470703125, 1.1669921875, 0.1456298828125, 0.84228515625, 0.2218017578125, -0.46923828125, 0.210693359375, -0.5634765625, 0.26708984375, -0.24951171875, 0.1251220703125, -0.305908203125, 0.265625, -0.306396484375, -1.283203125, -0.15771484375, 0.28466796875, 0.182861328125, -0.52392578125, -0.98583984375, -0.46435546875, -0.9150390625, -0.01800537109375, -0.7998046875, 0.86572265625, 0.00975799560546875, 0.0975341796875, 0.1514892578125, -1.3203125, 4.4765625, 0.9033203125, 1.021484375, 0.292236328125, 0.459716796875, 0.80224609375, 0.237060546875, -0.1514892578125, -0.2208251953125, -0.3408203125, 0.1097412109375, -0.48681640625, -0.119140625, 0.3818359375, -0.068603515625, 0.27685546875, -0.775390625, -0.0382080078125, 0.046295166015625, -0.61279296875, -0.708984375, 0.312744140625, 0.351318359375, 0.6103515625, -0.09136962890625, -0.12408447265625, 0.348876953125, -0.87744140625, -0.42431640625, -0.61328125, 0.57470703125, -0.417724609375, 0.86279296875, 0.1685791015625, -0.183837890625, 0.48779296875, -0.329345703125, -0.384521484375, -0.587890625, -0.0285186767578125, -0.1422119140625, 0.1339111328125, 0.63427734375, -0.68115234375, 0.27099609375, 0.2083740234375, -0.55517578125, 0.36572265625, 0.357177734375, -0.79150390625, 1.046875, -0.266845703125, 0.51171875, -0.75146484375, -0.58837890625, -0.173095703125, 0.2607421875, 0.1776123046875, 0.059356689453125, 0.352294921875, 0.23681640625, 0.482177734375, 0.1505126953125, 0.6337890625, -1.1005859375, 0.75634765625, -0.0460205078125, 0.35888671875, -0.27490234375, -0.57177734375, -0.424072265625, -0.43310546875, -0.1297607421875, -0.56689453125, 0.4365234375, 0.166259765625, -0.106689453125, 1.0263671875, 0.63818359375, -0.8427734375, 0.236083984375, -0.2454833984375, -0.52587890625, -0.2396240234375, 0.4189453125, 1.1865234375, -0.7255859375, -0.0128173828125, -0.07958984375, 0.814453125, 0.65087890625, 1.001953125, 0.186279296875, -0.050140380859375, -0.421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Codehorses has just hosted the second Codehorses Cup. This year, the same as the previous one, organizers are giving T-shirts for the winners. The valid sizes of T-shirts are either "M" or from 0 to 3 "X" followed by "S" or "L". For example, sizes "M", "XXS", "L", "XXXL" are valid and "XM", "Z", "XXXXL" are not. There are n winners to the cup for both the previous year and the current year. Ksenia has a list with the T-shirt sizes printed for the last year cup and is yet to send the new list to the printing office. Organizers want to distribute the prizes as soon as possible, so now Ksenia is required not to write the whole list from the scratch but just make some changes to the list of the previous year. In one second she can choose arbitrary position in any word and replace its character with some uppercase Latin letter. Ksenia can't remove or add letters in any of the words. What is the minimal number of seconds Ksenia is required to spend to change the last year list to the current one? The lists are unordered. That means, two lists are considered equal if and only if the number of occurrences of any string is the same in both lists. Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of T-shirts. The i-th of the next n lines contains a_i — the size of the i-th T-shirt of the list for the previous year. The i-th of the next n lines contains b_i — the size of the i-th T-shirt of the list for the current year. It is guaranteed that all the sizes in the input are valid. It is also guaranteed that Ksenia can produce list b from the list a. Output Print the minimal number of seconds Ksenia is required to spend to change the last year list to the current one. If the lists are already equal, print 0. Examples Input 3 XS XS M XL S XS Output 2 Input 2 XXXL XXL XXL XXXS Output 1 Input 2 M XS XS M Output 0 Note In the first example Ksenia can replace "M" with "S" and "S" in one of the occurrences of "XS" with "L". In the second example Ksenia should replace "L" in "XXXL" with "S". In the third example lists are equal. Tags: greedy, implementation Correct Solution: ``` n = int(input()) a = [] for i in range(n): a.append(input()) b = [] for i in range(n): cur = input() if cur in a: a.remove(cur) else: b.append(cur) print(len(b)) ```
6,575
[ 0.352294921875, -0.2685546875, 0.396484375, 0.13720703125, -0.638671875, -0.358154296875, 0.007602691650390625, -0.04132080078125, -0.1011962890625, 0.55712890625, 0.6669921875, -0.26806640625, 0.0186767578125, -0.377197265625, -0.423828125, 0.33935546875, -0.365234375, -0.74560546875, -0.794921875, 0.2486572265625, 0.08978271484375, -0.09600830078125, -1.66796875, -0.256591796875, -0.63818359375, 0.84375, -0.030853271484375, -0.156494140625, 1.0869140625, 0.9951171875, -0.45166015625, -0.33740234375, 0.5439453125, -1.11328125, -0.297607421875, -0.64306640625, 0.286865234375, -0.46630859375, -0.626953125, -0.326416015625, 0.18798828125, -0.285400390625, 0.373291015625, -0.47802734375, -1.0244140625, -0.07659912109375, -0.2254638671875, -0.386962890625, -0.347900390625, -0.64453125, 0.182373046875, -0.228271484375, 0.15283203125, -0.12744140625, -0.1422119140625, 0.1549072265625, -0.312744140625, -0.1854248046875, -0.68310546875, -0.06292724609375, 0.301025390625, 0.07110595703125, -0.161865234375, -0.61181640625, 0.198486328125, 0.370361328125, 0.19287109375, -0.06988525390625, 0.157470703125, -0.5791015625, 0.2039794921875, 0.33837890625, -0.513671875, -0.63720703125, -0.265869140625, 0.1251220703125, 0.203857421875, -0.1263427734375, -0.779296875, 0.6875, 0.1502685546875, 0.96337890625, 0.1192626953125, 0.254150390625, -0.4501953125, -0.415283203125, 0.197998046875, 0.2427978515625, 0.232421875, -0.0390625, -0.131103515625, 0.6171875, -0.7509765625, 0.0355224609375, 0.7333984375, 0.55419921875, -0.050811767578125, 0.27783203125, 0.2509765625, 0.0792236328125, 0.78076171875, 0.81103515625, -0.36474609375, 1.162109375, -0.44873046875, 0.07171630859375, 0.70654296875, -0.169921875, -0.3046875, -0.357666015625, -0.20068359375, -0.2144775390625, 0.390625, 0.53515625, 0.126708984375, 0.9150390625, -0.10833740234375, 0.30908203125, -0.63427734375, 0.0171966552734375, 0.6953125, 0.1661376953125, 0.42626953125, 0.04302978515625, 0.1390380859375, -0.5693359375, -0.1705322265625, 1.060546875, -0.498779296875, -0.05548095703125, 0.273681640625, -0.1898193359375, -0.1494140625, 0.145751953125, -0.0196533203125, 0.77734375, -0.475341796875, 0.78466796875, 0.210693359375, -0.60009765625, 0.53857421875, -0.1456298828125, -0.332275390625, 1.337890625, 0.61279296875, 0.09698486328125, 0.68505859375, 0.03955078125, -0.96337890625, -0.00728607177734375, -0.77880859375, 0.7421875, -0.00824737548828125, 0.468017578125, -0.000040531158447265625, -0.121337890625, -0.4169921875, 0.27490234375, 0.165771484375, -0.050811767578125, -0.322265625, 0.09197998046875, -0.07159423828125, 1.072265625, -0.5185546875, 0.7353515625, -0.6435546875, -0.2108154296875, -0.46484375, -0.5009765625, 0.302734375, -0.28076171875, -0.1246337890625, 0.58740234375, 0.467041015625, 1.1298828125, 0.859375, -0.374267578125, 0.24462890625, 0.1361083984375, -0.318359375, 0.11712646484375, 0.340087890625, 1.1376953125, 0.0179901123046875, 0.26611328125, 0.426025390625, -0.431640625, -0.5546875, -0.60791015625, 0.21142578125, 0.248046875, -0.66748046875, 0.26220703125, 0.09027099609375, 0.09112548828125, -0.544921875, 0.163818359375, -0.10205078125, -1.095703125, -0.349853515625, 0.7373046875, -0.486083984375, 0.1842041015625, -0.255126953125, -0.47314453125, 0.387939453125, 1.1865234375, -0.74755859375, 0.06646728515625, 0.27001953125, 0.05584716796875, -0.39111328125, 0.50732421875, -0.2266845703125, -0.00016248226165771484, -0.34130859375, 0.96484375, -0.6298828125, 0.05206298828125, -0.0213470458984375, 0.55810546875, 0.36376953125, 0.78173828125, -0.10687255859375, -0.290771484375, 0.62255859375, 1.2431640625, 0.1904296875, 0.6923828125, 0.06280517578125, 1.1328125, 0.7265625, 0.99755859375, 0.66943359375, 0.4091796875, 0.8486328125, 0.76953125, 0.1929931640625, 0.53564453125, -0.16455078125, 0.250732421875, 0.61376953125, 0.357421875, 0.2333984375, 0.09820556640625, 0.1038818359375, -0.017730712890625, -0.10321044921875, 0.41748046875, -0.15478515625, 0.81005859375, 0.1531982421875, 0.47705078125, -0.4892578125, -0.21826171875, 0.134033203125, 0.966796875, -0.77294921875, -0.42041015625, -0.447998046875, -0.108154296875, 0.2294921875, 0.0218658447265625, 0.11688232421875, 0.39013671875, 0.179931640625, 0.7275390625, -0.75537109375, -0.4638671875, -0.740234375, -1.060546875, -0.86083984375, -0.6650390625, -0.5595703125, -0.04302978515625, 0.354736328125, -0.75146484375, 0.252197265625, -0.213623046875, -0.140625, 0.09185791015625, -0.47900390625, 0.91064453125, -0.1259765625, 0.87646484375, -0.6103515625, 0.434814453125, 0.08428955078125, 1.1572265625, -1.076171875, -0.2392578125, -0.356689453125, -0.453125, 0.65673828125, -0.2432861328125, 0.28662109375, 0.000385284423828125, -0.6044921875, -1.08984375, -0.440673828125, 0.025634765625, -0.09906005859375, 0.318359375, -0.259033203125, 0.974609375, 0.430908203125, -0.77197265625, 0.671875, 0.65869140625, -1.0361328125, 0.31298828125, 0.21044921875, 0.149658203125, -0.94482421875, 1.078125, 0.329345703125, 0.2340087890625, -0.56787109375, -0.302734375, -0.61279296875, 0.03985595703125, 0.263671875, -0.233642578125, -0.56640625, 0.294677734375, 0.178466796875, -1.328125, 0.5986328125, -1.119140625, -0.78271484375, -0.08868408203125, -0.368408203125, 0.646484375, 0.7001953125, -0.136474609375, 0.247802734375, -0.048492431640625, -0.1282958984375, 0.81787109375, 0.8359375, -0.41650390625, 0.2451171875, 0.408935546875, -0.19384765625, 0.03680419921875, -0.00955963134765625, -0.60791015625, -0.484375, -0.2313232421875, 0.11102294921875, 0.78955078125, 0.669921875, 0.137939453125, 0.359375, 0.64208984375, -0.58203125, -0.40869140625, -0.0908203125, 0.76416015625, 0.323486328125, 0.5791015625, 0.283447265625, -0.311279296875, -0.375732421875, -0.962890625, 0.44091796875, 0.464111328125, 0.71484375, -0.83056640625, 0.72216796875, 0.250732421875, -0.62109375, 0.2415771484375, -0.314697265625, -0.436279296875, 0.91845703125, 0.32666015625, 0.61669921875, -0.7900390625, -0.0079498291015625, -0.462646484375, 0.18359375, 0.4755859375, 0.6162109375, 0.69873046875, -0.1217041015625, -0.54833984375, -0.384033203125, -0.39697265625, 0.035552978515625, -0.25830078125, 0.26611328125, -0.1611328125, -0.423828125, -0.74755859375, 0.20849609375, 0.62841796875, 0.39697265625, -0.00792694091796875, 0.3173828125, 0.1724853515625, 0.73193359375, 0.385009765625, -0.442626953125, 0.08685302734375, -0.60009765625, 0.8564453125, 0.1326904296875, -0.258056640625, -0.689453125, -0.5087890625, -0.2568359375, -0.040557861328125, 0.2469482421875, -0.1748046875, -0.90771484375, 0.0576171875, 0.0177154541015625, 0.7333984375, -0.292724609375, -0.391845703125, -0.145751953125, 0.333251953125, 0.06982421875, -1.08984375, 0.28076171875, -0.365234375, 0.41162109375, 0.4609375, -0.37060546875, -0.3544921875, -0.6396484375, -0.52099609375, -0.7841796875, 0.0941162109375, 0.58935546875, 0.135009765625, 0.207763671875, -1.171875, 0.263916015625, 0.67919921875, -0.350830078125, 0.10736083984375, -0.05682373046875, 0.474365234375, 0.35107421875, 0.9091796875, -0.3740234375, -0.7705078125, 0.47802734375, -1.412109375, 0.305419921875, -0.62548828125, 0.95361328125, -0.27587890625, -0.1103515625, -0.05621337890625, 0.495849609375, -0.34423828125, 0.058807373046875, -0.0823974609375, 0.04278564453125, -0.9853515625, -0.80712890625, 0.6875, -0.1907958984375, -0.465576171875, 1.1103515625, -0.230224609375, -0.462646484375, 0.357421875, 0.564453125, -0.3603515625, 0.1689453125, -0.546875, 0.321533203125, -0.39111328125, -0.52490234375, -0.05645751953125, -0.46923828125, 0.8564453125, -0.0267486572265625, -0.9892578125, -0.1324462890625, -0.95556640625, -0.271484375, 0.02569580078125, -0.309814453125, 0.70703125, 0.150390625, -0.387451171875, -0.2412109375, -0.28369140625, -0.483154296875, -0.0538330078125, -0.84765625, -0.38232421875, 0.4130859375, 0.58203125, 0.1834716796875, -0.1612548828125, -0.57763671875, 0.004627227783203125, 0.00461578369140625, -0.15966796875, -0.6630859375, -0.454833984375, -0.056793212890625, -0.420166015625, -0.1883544921875, 0.2222900390625, 0.32861328125, 0.37841796875, 0.68505859375, 0.4423828125, 0.1990966796875, 0.2015380859375, -0.252685546875, 0.8125, -0.0178070068359375, -1.0927734375, -0.50146484375, 0.50048828125, 0.461669921875, 0.65087890625, 0.400634765625, -1.080078125, -0.65966796875, -1.0693359375, 0.048858642578125, -0.44580078125, -0.061492919921875, -0.75, -0.2366943359375, -0.2880859375, 0.409423828125, -0.4033203125, -0.72998046875, 0.0160064697265625, -1.0556640625, 0.3271484375, -0.87255859375, -0.37158203125, -0.47021484375, -0.69384765625, 0.0810546875, 0.67431640625, 0.034210205078125, 0.54931640625, 0.10894775390625, -0.0345458984375, 0.036834716796875, 0.0084228515625, -0.1397705078125, -0.916015625, 0.044158935546875, 0.1552734375, -0.06610107421875, 0.09619140625, -0.465576171875, 0.9619140625, -1.001953125, 0.1136474609375, -0.333984375, -0.448974609375, -0.04315185546875, -0.38037109375, 0.81494140625, -0.296630859375, 0.1895751953125, -0.52587890625, 0.40380859375, 0.471435546875, -0.331298828125, -0.44140625, -0.5517578125, -0.654296875, -1.2998046875, 0.8505859375, -0.2403564453125, 0.10693359375, -0.7626953125, 0.12066650390625, 1.0283203125, -0.351806640625, 0.3818359375, 1.2734375, -0.039337158203125, 0.1951904296875, -0.78662109375, 0.58349609375, 0.43115234375, -0.468505859375, 0.46240234375, 0.1026611328125, -0.60400390625, 0.01044464111328125, -0.65673828125, -0.865234375, -0.5634765625, 0.1434326171875, 1.1455078125, -0.295166015625, 0.7421875, -0.21923828125, -0.95263671875, -0.5791015625, 0.63671875, 0.461669921875, 0.1783447265625, 0.52099609375, -0.1319580078125, -0.0299835205078125, -0.07415771484375, -0.346923828125, -0.31982421875, -0.19677734375, 1.197265625, -0.087890625, -0.83935546875, 1.1005859375, 0.91796875, -0.83056640625, -0.80078125, 0.233154296875, 0.1427001953125, 0.0880126953125, -0.6787109375, 0.028076171875, 0.85107421875, -0.69189453125, 0.5595703125, 0.1270751953125, 0.050628662109375, 0.279296875, -0.058502197265625, 0.5859375, -0.60546875, 0.26220703125, 0.421142578125, -0.6494140625, -0.203857421875, -0.7529296875, -0.1795654296875, -0.60400390625, 0.15380859375, 0.9443359375, -0.39599609375, 0.01439666748046875, 0.11492919921875, -0.1524658203125, 0.7998046875, -0.6484375, -0.342529296875, 0.469970703125, -0.70703125, -0.62744140625, -0.266357421875, 0.375244140625, 0.004512786865234375, 0.12481689453125, -0.724609375, 0.2188720703125, 0.61083984375, -0.061065673828125, -0.448486328125, -0.84326171875, -0.1085205078125, -1.236328125, -0.47998046875, -0.23291015625, -0.220947265625, -0.3271484375, 0.2340087890625, -0.057830810546875, -0.383056640625, -0.30712890625, 0.611328125, -0.48291015625, 0.7548828125, -0.6962890625, 0.376953125, -0.533203125, -0.3857421875, -0.59375, 0.1485595703125, -0.6435546875, -0.002105712890625, -0.8798828125, 0.293212890625, -0.3857421875, 0.599609375, -0.1201171875, 0.6962890625, -0.07342529296875, -0.79052734375, -0.1649169921875, 0.207763671875, -0.26220703125, 0.59716796875, 1.0517578125, -0.2646484375, 0.26611328125, -0.15087890625, -0.431396484375, -0.50439453125, 0.7333984375, 0.990234375, 0.01395416259765625, 0.00307464599609375, -0.32080078125, 0.099609375, -0.95556640625, 0.3173828125, -0.3125, -0.09576416015625, 0.39111328125, -0.215576171875, 0.49853515625, 0.943359375, -0.04193115234375, 0.69677734375, 0.0279998779296875, 0.0762939453125, 0.392822265625, 0.11181640625, 0.2178955078125, 0.77099609375, 0.57177734375, -0.330810546875, 0.303466796875, 0.2486572265625, -0.316162109375, 0.53271484375, -0.30078125, -0.67138671875, -0.80419921875, -0.1295166015625, -0.2607421875, 0.389892578125, 0.71240234375, -0.2509765625, -0.1859130859375, -0.3720703125, -0.62158203125, 0.280029296875, -1.232421875, -0.6494140625, 0.385498046875, -0.40625, -0.44873046875, -0.413818359375, -0.8125, -0.10992431640625, -0.035888671875, 0.2457275390625, -0.43994140625, 0.5537109375, -0.175537109375, 0.305908203125, -0.1650390625, -0.20361328125, 0.400390625, 0.7314453125, -0.38525390625, -0.7900390625, 0.1539306640625, 1.150390625, 0.2119140625, -0.0247650146484375, -0.5986328125, 0.04132080078125, 0.10479736328125, 0.08612060546875, -0.155517578125, 0.6337890625, 0.07574462890625, 0.2705078125, -0.74951171875, -0.193603515625, -0.30517578125, 0.51513671875, -0.2012939453125, -0.3310546875, -0.359130859375, 0.966796875, 0.94091796875, -0.09759521484375, 0.396240234375, 0.2333984375, 0.58447265625, -0.158935546875, -0.413818359375, -0.578125, 0.892578125, 0.447021484375, 0.814453125, -0.02398681640625, 0.1414794921875, 0.90673828125, 0.423583984375, -0.281494140625, 0.473388671875, 0.2120361328125, -0.09259033203125, -0.03759765625, -0.375, -0.16845703125, -0.140380859375, -0.54345703125, 0.423583984375, -0.67626953125, 0.00948333740234375, -0.07830810546875, -0.86669921875, 0.796875, -0.130126953125, -0.1563720703125, -0.00870513916015625, -0.7802734375, -0.0601806640625, 0.50439453125, 0.153564453125, -0.18603515625, 0.5390625, 0.5732421875, 0.8203125, 0.7646484375, 0.5390625, 0.54345703125, -0.576171875, -0.2100830078125, 0.243408203125, -0.045074462890625, -0.260498046875, -0.591796875, -0.7021484375, 0.159423828125, -0.52978515625, -0.316162109375, 0.81396484375, -0.59228515625, 0.16357421875, -0.388427734375, 0.72314453125, -0.282958984375, 0.454345703125, -0.02325439453125, -0.40966796875, -0.7861328125, 0.75048828125, -0.0245208740234375, 0.64990234375, 0.259033203125, 0.8427734375, 0.09332275390625, 1.232421875, 0.59423828125, -0.2113037109375, 0.1905517578125, 0.1588134765625, -0.61767578125, -0.61474609375, -0.33251953125, -0.552734375, 0.257568359375, -0.6376953125, -0.50048828125, -0.162841796875, 0.68505859375, -0.0111541748046875, -1.1220703125, -0.57666015625, 0.0166015625, -0.669921875, 0.207275390625, 0.406005859375, 0.0014543533325195312, -0.1776123046875, -0.1776123046875, -0.0340576171875, -0.346435546875, 0.63525390625, -0.306640625, 0.28662109375, -0.38134765625, -0.50390625, -0.428466796875, -0.626953125, -0.1893310546875, -0.0897216796875, -0.287353515625, -0.4013671875, 0.39794921875, 0.38037109375, 0.4521484375, 0.26123046875, 0.003726959228515625, 0.08135986328125, 1.2470703125, 1.1669921875, 0.1456298828125, 0.84228515625, 0.2218017578125, -0.46923828125, 0.210693359375, -0.5634765625, 0.26708984375, -0.24951171875, 0.1251220703125, -0.305908203125, 0.265625, -0.306396484375, -1.283203125, -0.15771484375, 0.28466796875, 0.182861328125, -0.52392578125, -0.98583984375, -0.46435546875, -0.9150390625, -0.01800537109375, -0.7998046875, 0.86572265625, 0.00975799560546875, 0.0975341796875, 0.1514892578125, -1.3203125, 4.4765625, 0.9033203125, 1.021484375, 0.292236328125, 0.459716796875, 0.80224609375, 0.237060546875, -0.1514892578125, -0.2208251953125, -0.3408203125, 0.1097412109375, -0.48681640625, -0.119140625, 0.3818359375, -0.068603515625, 0.27685546875, -0.775390625, -0.0382080078125, 0.046295166015625, -0.61279296875, -0.708984375, 0.312744140625, 0.351318359375, 0.6103515625, -0.09136962890625, -0.12408447265625, 0.348876953125, -0.87744140625, -0.42431640625, -0.61328125, 0.57470703125, -0.417724609375, 0.86279296875, 0.1685791015625, -0.183837890625, 0.48779296875, -0.329345703125, -0.384521484375, -0.587890625, -0.0285186767578125, -0.1422119140625, 0.1339111328125, 0.63427734375, -0.68115234375, 0.27099609375, 0.2083740234375, -0.55517578125, 0.36572265625, 0.357177734375, -0.79150390625, 1.046875, -0.266845703125, 0.51171875, -0.75146484375, -0.58837890625, -0.173095703125, 0.2607421875, 0.1776123046875, 0.059356689453125, 0.352294921875, 0.23681640625, 0.482177734375, 0.1505126953125, 0.6337890625, -1.1005859375, 0.75634765625, -0.0460205078125, 0.35888671875, -0.27490234375, -0.57177734375, -0.424072265625, -0.43310546875, -0.1297607421875, -0.56689453125, 0.4365234375, 0.166259765625, -0.106689453125, 1.0263671875, 0.63818359375, -0.8427734375, 0.236083984375, -0.2454833984375, -0.52587890625, -0.2396240234375, 0.4189453125, 1.1865234375, -0.7255859375, -0.0128173828125, -0.07958984375, 0.814453125, 0.65087890625, 1.001953125, 0.186279296875, -0.050140380859375, -0.421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Codehorses has just hosted the second Codehorses Cup. This year, the same as the previous one, organizers are giving T-shirts for the winners. The valid sizes of T-shirts are either "M" or from 0 to 3 "X" followed by "S" or "L". For example, sizes "M", "XXS", "L", "XXXL" are valid and "XM", "Z", "XXXXL" are not. There are n winners to the cup for both the previous year and the current year. Ksenia has a list with the T-shirt sizes printed for the last year cup and is yet to send the new list to the printing office. Organizers want to distribute the prizes as soon as possible, so now Ksenia is required not to write the whole list from the scratch but just make some changes to the list of the previous year. In one second she can choose arbitrary position in any word and replace its character with some uppercase Latin letter. Ksenia can't remove or add letters in any of the words. What is the minimal number of seconds Ksenia is required to spend to change the last year list to the current one? The lists are unordered. That means, two lists are considered equal if and only if the number of occurrences of any string is the same in both lists. Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of T-shirts. The i-th of the next n lines contains a_i — the size of the i-th T-shirt of the list for the previous year. The i-th of the next n lines contains b_i — the size of the i-th T-shirt of the list for the current year. It is guaranteed that all the sizes in the input are valid. It is also guaranteed that Ksenia can produce list b from the list a. Output Print the minimal number of seconds Ksenia is required to spend to change the last year list to the current one. If the lists are already equal, print 0. Examples Input 3 XS XS M XL S XS Output 2 Input 2 XXXL XXL XXL XXXS Output 1 Input 2 M XS XS M Output 0 Note In the first example Ksenia can replace "M" with "S" and "S" in one of the occurrences of "XS" with "L". In the second example Ksenia should replace "L" in "XXXL" with "S". In the third example lists are equal. Tags: greedy, implementation Correct Solution: ``` n = int(input()) a, b = [], [] for i in range(n): a.append( input() ) for i in range(n): b.append( input() ) for i in a: try: b.pop(b.index(i)) except Exception as e: pass print(len(b)) ```
6,576
[ 0.352294921875, -0.2685546875, 0.396484375, 0.13720703125, -0.638671875, -0.358154296875, 0.007602691650390625, -0.04132080078125, -0.1011962890625, 0.55712890625, 0.6669921875, -0.26806640625, 0.0186767578125, -0.377197265625, -0.423828125, 0.33935546875, -0.365234375, -0.74560546875, -0.794921875, 0.2486572265625, 0.08978271484375, -0.09600830078125, -1.66796875, -0.256591796875, -0.63818359375, 0.84375, -0.030853271484375, -0.156494140625, 1.0869140625, 0.9951171875, -0.45166015625, -0.33740234375, 0.5439453125, -1.11328125, -0.297607421875, -0.64306640625, 0.286865234375, -0.46630859375, -0.626953125, -0.326416015625, 0.18798828125, -0.285400390625, 0.373291015625, -0.47802734375, -1.0244140625, -0.07659912109375, -0.2254638671875, -0.386962890625, -0.347900390625, -0.64453125, 0.182373046875, -0.228271484375, 0.15283203125, -0.12744140625, -0.1422119140625, 0.1549072265625, -0.312744140625, -0.1854248046875, -0.68310546875, -0.06292724609375, 0.301025390625, 0.07110595703125, -0.161865234375, -0.61181640625, 0.198486328125, 0.370361328125, 0.19287109375, -0.06988525390625, 0.157470703125, -0.5791015625, 0.2039794921875, 0.33837890625, -0.513671875, -0.63720703125, -0.265869140625, 0.1251220703125, 0.203857421875, -0.1263427734375, -0.779296875, 0.6875, 0.1502685546875, 0.96337890625, 0.1192626953125, 0.254150390625, -0.4501953125, -0.415283203125, 0.197998046875, 0.2427978515625, 0.232421875, -0.0390625, -0.131103515625, 0.6171875, -0.7509765625, 0.0355224609375, 0.7333984375, 0.55419921875, -0.050811767578125, 0.27783203125, 0.2509765625, 0.0792236328125, 0.78076171875, 0.81103515625, -0.36474609375, 1.162109375, -0.44873046875, 0.07171630859375, 0.70654296875, -0.169921875, -0.3046875, -0.357666015625, -0.20068359375, -0.2144775390625, 0.390625, 0.53515625, 0.126708984375, 0.9150390625, -0.10833740234375, 0.30908203125, -0.63427734375, 0.0171966552734375, 0.6953125, 0.1661376953125, 0.42626953125, 0.04302978515625, 0.1390380859375, -0.5693359375, -0.1705322265625, 1.060546875, -0.498779296875, -0.05548095703125, 0.273681640625, -0.1898193359375, -0.1494140625, 0.145751953125, -0.0196533203125, 0.77734375, -0.475341796875, 0.78466796875, 0.210693359375, -0.60009765625, 0.53857421875, -0.1456298828125, -0.332275390625, 1.337890625, 0.61279296875, 0.09698486328125, 0.68505859375, 0.03955078125, -0.96337890625, -0.00728607177734375, -0.77880859375, 0.7421875, -0.00824737548828125, 0.468017578125, -0.000040531158447265625, -0.121337890625, -0.4169921875, 0.27490234375, 0.165771484375, -0.050811767578125, -0.322265625, 0.09197998046875, -0.07159423828125, 1.072265625, -0.5185546875, 0.7353515625, -0.6435546875, -0.2108154296875, -0.46484375, -0.5009765625, 0.302734375, -0.28076171875, -0.1246337890625, 0.58740234375, 0.467041015625, 1.1298828125, 0.859375, -0.374267578125, 0.24462890625, 0.1361083984375, -0.318359375, 0.11712646484375, 0.340087890625, 1.1376953125, 0.0179901123046875, 0.26611328125, 0.426025390625, -0.431640625, -0.5546875, -0.60791015625, 0.21142578125, 0.248046875, -0.66748046875, 0.26220703125, 0.09027099609375, 0.09112548828125, -0.544921875, 0.163818359375, -0.10205078125, -1.095703125, -0.349853515625, 0.7373046875, -0.486083984375, 0.1842041015625, -0.255126953125, -0.47314453125, 0.387939453125, 1.1865234375, -0.74755859375, 0.06646728515625, 0.27001953125, 0.05584716796875, -0.39111328125, 0.50732421875, -0.2266845703125, -0.00016248226165771484, -0.34130859375, 0.96484375, -0.6298828125, 0.05206298828125, -0.0213470458984375, 0.55810546875, 0.36376953125, 0.78173828125, -0.10687255859375, -0.290771484375, 0.62255859375, 1.2431640625, 0.1904296875, 0.6923828125, 0.06280517578125, 1.1328125, 0.7265625, 0.99755859375, 0.66943359375, 0.4091796875, 0.8486328125, 0.76953125, 0.1929931640625, 0.53564453125, -0.16455078125, 0.250732421875, 0.61376953125, 0.357421875, 0.2333984375, 0.09820556640625, 0.1038818359375, -0.017730712890625, -0.10321044921875, 0.41748046875, -0.15478515625, 0.81005859375, 0.1531982421875, 0.47705078125, -0.4892578125, -0.21826171875, 0.134033203125, 0.966796875, -0.77294921875, -0.42041015625, -0.447998046875, -0.108154296875, 0.2294921875, 0.0218658447265625, 0.11688232421875, 0.39013671875, 0.179931640625, 0.7275390625, -0.75537109375, -0.4638671875, -0.740234375, -1.060546875, -0.86083984375, -0.6650390625, -0.5595703125, -0.04302978515625, 0.354736328125, -0.75146484375, 0.252197265625, -0.213623046875, -0.140625, 0.09185791015625, -0.47900390625, 0.91064453125, -0.1259765625, 0.87646484375, -0.6103515625, 0.434814453125, 0.08428955078125, 1.1572265625, -1.076171875, -0.2392578125, -0.356689453125, -0.453125, 0.65673828125, -0.2432861328125, 0.28662109375, 0.000385284423828125, -0.6044921875, -1.08984375, -0.440673828125, 0.025634765625, -0.09906005859375, 0.318359375, -0.259033203125, 0.974609375, 0.430908203125, -0.77197265625, 0.671875, 0.65869140625, -1.0361328125, 0.31298828125, 0.21044921875, 0.149658203125, -0.94482421875, 1.078125, 0.329345703125, 0.2340087890625, -0.56787109375, -0.302734375, -0.61279296875, 0.03985595703125, 0.263671875, -0.233642578125, -0.56640625, 0.294677734375, 0.178466796875, -1.328125, 0.5986328125, -1.119140625, -0.78271484375, -0.08868408203125, -0.368408203125, 0.646484375, 0.7001953125, -0.136474609375, 0.247802734375, -0.048492431640625, -0.1282958984375, 0.81787109375, 0.8359375, -0.41650390625, 0.2451171875, 0.408935546875, -0.19384765625, 0.03680419921875, -0.00955963134765625, -0.60791015625, -0.484375, -0.2313232421875, 0.11102294921875, 0.78955078125, 0.669921875, 0.137939453125, 0.359375, 0.64208984375, -0.58203125, -0.40869140625, -0.0908203125, 0.76416015625, 0.323486328125, 0.5791015625, 0.283447265625, -0.311279296875, -0.375732421875, -0.962890625, 0.44091796875, 0.464111328125, 0.71484375, -0.83056640625, 0.72216796875, 0.250732421875, -0.62109375, 0.2415771484375, -0.314697265625, -0.436279296875, 0.91845703125, 0.32666015625, 0.61669921875, -0.7900390625, -0.0079498291015625, -0.462646484375, 0.18359375, 0.4755859375, 0.6162109375, 0.69873046875, -0.1217041015625, -0.54833984375, -0.384033203125, -0.39697265625, 0.035552978515625, -0.25830078125, 0.26611328125, -0.1611328125, -0.423828125, -0.74755859375, 0.20849609375, 0.62841796875, 0.39697265625, -0.00792694091796875, 0.3173828125, 0.1724853515625, 0.73193359375, 0.385009765625, -0.442626953125, 0.08685302734375, -0.60009765625, 0.8564453125, 0.1326904296875, -0.258056640625, -0.689453125, -0.5087890625, -0.2568359375, -0.040557861328125, 0.2469482421875, -0.1748046875, -0.90771484375, 0.0576171875, 0.0177154541015625, 0.7333984375, -0.292724609375, -0.391845703125, -0.145751953125, 0.333251953125, 0.06982421875, -1.08984375, 0.28076171875, -0.365234375, 0.41162109375, 0.4609375, -0.37060546875, -0.3544921875, -0.6396484375, -0.52099609375, -0.7841796875, 0.0941162109375, 0.58935546875, 0.135009765625, 0.207763671875, -1.171875, 0.263916015625, 0.67919921875, -0.350830078125, 0.10736083984375, -0.05682373046875, 0.474365234375, 0.35107421875, 0.9091796875, -0.3740234375, -0.7705078125, 0.47802734375, -1.412109375, 0.305419921875, -0.62548828125, 0.95361328125, -0.27587890625, -0.1103515625, -0.05621337890625, 0.495849609375, -0.34423828125, 0.058807373046875, -0.0823974609375, 0.04278564453125, -0.9853515625, -0.80712890625, 0.6875, -0.1907958984375, -0.465576171875, 1.1103515625, -0.230224609375, -0.462646484375, 0.357421875, 0.564453125, -0.3603515625, 0.1689453125, -0.546875, 0.321533203125, -0.39111328125, -0.52490234375, -0.05645751953125, -0.46923828125, 0.8564453125, -0.0267486572265625, -0.9892578125, -0.1324462890625, -0.95556640625, -0.271484375, 0.02569580078125, -0.309814453125, 0.70703125, 0.150390625, -0.387451171875, -0.2412109375, -0.28369140625, -0.483154296875, -0.0538330078125, -0.84765625, -0.38232421875, 0.4130859375, 0.58203125, 0.1834716796875, -0.1612548828125, -0.57763671875, 0.004627227783203125, 0.00461578369140625, -0.15966796875, -0.6630859375, -0.454833984375, -0.056793212890625, -0.420166015625, -0.1883544921875, 0.2222900390625, 0.32861328125, 0.37841796875, 0.68505859375, 0.4423828125, 0.1990966796875, 0.2015380859375, -0.252685546875, 0.8125, -0.0178070068359375, -1.0927734375, -0.50146484375, 0.50048828125, 0.461669921875, 0.65087890625, 0.400634765625, -1.080078125, -0.65966796875, -1.0693359375, 0.048858642578125, -0.44580078125, -0.061492919921875, -0.75, -0.2366943359375, -0.2880859375, 0.409423828125, -0.4033203125, -0.72998046875, 0.0160064697265625, -1.0556640625, 0.3271484375, -0.87255859375, -0.37158203125, -0.47021484375, -0.69384765625, 0.0810546875, 0.67431640625, 0.034210205078125, 0.54931640625, 0.10894775390625, -0.0345458984375, 0.036834716796875, 0.0084228515625, -0.1397705078125, -0.916015625, 0.044158935546875, 0.1552734375, -0.06610107421875, 0.09619140625, -0.465576171875, 0.9619140625, -1.001953125, 0.1136474609375, -0.333984375, -0.448974609375, -0.04315185546875, -0.38037109375, 0.81494140625, -0.296630859375, 0.1895751953125, -0.52587890625, 0.40380859375, 0.471435546875, -0.331298828125, -0.44140625, -0.5517578125, -0.654296875, -1.2998046875, 0.8505859375, -0.2403564453125, 0.10693359375, -0.7626953125, 0.12066650390625, 1.0283203125, -0.351806640625, 0.3818359375, 1.2734375, -0.039337158203125, 0.1951904296875, -0.78662109375, 0.58349609375, 0.43115234375, -0.468505859375, 0.46240234375, 0.1026611328125, -0.60400390625, 0.01044464111328125, -0.65673828125, -0.865234375, -0.5634765625, 0.1434326171875, 1.1455078125, -0.295166015625, 0.7421875, -0.21923828125, -0.95263671875, -0.5791015625, 0.63671875, 0.461669921875, 0.1783447265625, 0.52099609375, -0.1319580078125, -0.0299835205078125, -0.07415771484375, -0.346923828125, -0.31982421875, -0.19677734375, 1.197265625, -0.087890625, -0.83935546875, 1.1005859375, 0.91796875, -0.83056640625, -0.80078125, 0.233154296875, 0.1427001953125, 0.0880126953125, -0.6787109375, 0.028076171875, 0.85107421875, -0.69189453125, 0.5595703125, 0.1270751953125, 0.050628662109375, 0.279296875, -0.058502197265625, 0.5859375, -0.60546875, 0.26220703125, 0.421142578125, -0.6494140625, -0.203857421875, -0.7529296875, -0.1795654296875, -0.60400390625, 0.15380859375, 0.9443359375, -0.39599609375, 0.01439666748046875, 0.11492919921875, -0.1524658203125, 0.7998046875, -0.6484375, -0.342529296875, 0.469970703125, -0.70703125, -0.62744140625, -0.266357421875, 0.375244140625, 0.004512786865234375, 0.12481689453125, -0.724609375, 0.2188720703125, 0.61083984375, -0.061065673828125, -0.448486328125, -0.84326171875, -0.1085205078125, -1.236328125, -0.47998046875, -0.23291015625, -0.220947265625, -0.3271484375, 0.2340087890625, -0.057830810546875, -0.383056640625, -0.30712890625, 0.611328125, -0.48291015625, 0.7548828125, -0.6962890625, 0.376953125, -0.533203125, -0.3857421875, -0.59375, 0.1485595703125, -0.6435546875, -0.002105712890625, -0.8798828125, 0.293212890625, -0.3857421875, 0.599609375, -0.1201171875, 0.6962890625, -0.07342529296875, -0.79052734375, -0.1649169921875, 0.207763671875, -0.26220703125, 0.59716796875, 1.0517578125, -0.2646484375, 0.26611328125, -0.15087890625, -0.431396484375, -0.50439453125, 0.7333984375, 0.990234375, 0.01395416259765625, 0.00307464599609375, -0.32080078125, 0.099609375, -0.95556640625, 0.3173828125, -0.3125, -0.09576416015625, 0.39111328125, -0.215576171875, 0.49853515625, 0.943359375, -0.04193115234375, 0.69677734375, 0.0279998779296875, 0.0762939453125, 0.392822265625, 0.11181640625, 0.2178955078125, 0.77099609375, 0.57177734375, -0.330810546875, 0.303466796875, 0.2486572265625, -0.316162109375, 0.53271484375, -0.30078125, -0.67138671875, -0.80419921875, -0.1295166015625, -0.2607421875, 0.389892578125, 0.71240234375, -0.2509765625, -0.1859130859375, -0.3720703125, -0.62158203125, 0.280029296875, -1.232421875, -0.6494140625, 0.385498046875, -0.40625, -0.44873046875, -0.413818359375, -0.8125, -0.10992431640625, -0.035888671875, 0.2457275390625, -0.43994140625, 0.5537109375, -0.175537109375, 0.305908203125, -0.1650390625, -0.20361328125, 0.400390625, 0.7314453125, -0.38525390625, -0.7900390625, 0.1539306640625, 1.150390625, 0.2119140625, -0.0247650146484375, -0.5986328125, 0.04132080078125, 0.10479736328125, 0.08612060546875, -0.155517578125, 0.6337890625, 0.07574462890625, 0.2705078125, -0.74951171875, -0.193603515625, -0.30517578125, 0.51513671875, -0.2012939453125, -0.3310546875, -0.359130859375, 0.966796875, 0.94091796875, -0.09759521484375, 0.396240234375, 0.2333984375, 0.58447265625, -0.158935546875, -0.413818359375, -0.578125, 0.892578125, 0.447021484375, 0.814453125, -0.02398681640625, 0.1414794921875, 0.90673828125, 0.423583984375, -0.281494140625, 0.473388671875, 0.2120361328125, -0.09259033203125, -0.03759765625, -0.375, -0.16845703125, -0.140380859375, -0.54345703125, 0.423583984375, -0.67626953125, 0.00948333740234375, -0.07830810546875, -0.86669921875, 0.796875, -0.130126953125, -0.1563720703125, -0.00870513916015625, -0.7802734375, -0.0601806640625, 0.50439453125, 0.153564453125, -0.18603515625, 0.5390625, 0.5732421875, 0.8203125, 0.7646484375, 0.5390625, 0.54345703125, -0.576171875, -0.2100830078125, 0.243408203125, -0.045074462890625, -0.260498046875, -0.591796875, -0.7021484375, 0.159423828125, -0.52978515625, -0.316162109375, 0.81396484375, -0.59228515625, 0.16357421875, -0.388427734375, 0.72314453125, -0.282958984375, 0.454345703125, -0.02325439453125, -0.40966796875, -0.7861328125, 0.75048828125, -0.0245208740234375, 0.64990234375, 0.259033203125, 0.8427734375, 0.09332275390625, 1.232421875, 0.59423828125, -0.2113037109375, 0.1905517578125, 0.1588134765625, -0.61767578125, -0.61474609375, -0.33251953125, -0.552734375, 0.257568359375, -0.6376953125, -0.50048828125, -0.162841796875, 0.68505859375, -0.0111541748046875, -1.1220703125, -0.57666015625, 0.0166015625, -0.669921875, 0.207275390625, 0.406005859375, 0.0014543533325195312, -0.1776123046875, -0.1776123046875, -0.0340576171875, -0.346435546875, 0.63525390625, -0.306640625, 0.28662109375, -0.38134765625, -0.50390625, -0.428466796875, -0.626953125, -0.1893310546875, -0.0897216796875, -0.287353515625, -0.4013671875, 0.39794921875, 0.38037109375, 0.4521484375, 0.26123046875, 0.003726959228515625, 0.08135986328125, 1.2470703125, 1.1669921875, 0.1456298828125, 0.84228515625, 0.2218017578125, -0.46923828125, 0.210693359375, -0.5634765625, 0.26708984375, -0.24951171875, 0.1251220703125, -0.305908203125, 0.265625, -0.306396484375, -1.283203125, -0.15771484375, 0.28466796875, 0.182861328125, -0.52392578125, -0.98583984375, -0.46435546875, -0.9150390625, -0.01800537109375, -0.7998046875, 0.86572265625, 0.00975799560546875, 0.0975341796875, 0.1514892578125, -1.3203125, 4.4765625, 0.9033203125, 1.021484375, 0.292236328125, 0.459716796875, 0.80224609375, 0.237060546875, -0.1514892578125, -0.2208251953125, -0.3408203125, 0.1097412109375, -0.48681640625, -0.119140625, 0.3818359375, -0.068603515625, 0.27685546875, -0.775390625, -0.0382080078125, 0.046295166015625, -0.61279296875, -0.708984375, 0.312744140625, 0.351318359375, 0.6103515625, -0.09136962890625, -0.12408447265625, 0.348876953125, -0.87744140625, -0.42431640625, -0.61328125, 0.57470703125, -0.417724609375, 0.86279296875, 0.1685791015625, -0.183837890625, 0.48779296875, -0.329345703125, -0.384521484375, -0.587890625, -0.0285186767578125, -0.1422119140625, 0.1339111328125, 0.63427734375, -0.68115234375, 0.27099609375, 0.2083740234375, -0.55517578125, 0.36572265625, 0.357177734375, -0.79150390625, 1.046875, -0.266845703125, 0.51171875, -0.75146484375, -0.58837890625, -0.173095703125, 0.2607421875, 0.1776123046875, 0.059356689453125, 0.352294921875, 0.23681640625, 0.482177734375, 0.1505126953125, 0.6337890625, -1.1005859375, 0.75634765625, -0.0460205078125, 0.35888671875, -0.27490234375, -0.57177734375, -0.424072265625, -0.43310546875, -0.1297607421875, -0.56689453125, 0.4365234375, 0.166259765625, -0.106689453125, 1.0263671875, 0.63818359375, -0.8427734375, 0.236083984375, -0.2454833984375, -0.52587890625, -0.2396240234375, 0.4189453125, 1.1865234375, -0.7255859375, -0.0128173828125, -0.07958984375, 0.814453125, 0.65087890625, 1.001953125, 0.186279296875, -0.050140380859375, -0.421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Codehorses has just hosted the second Codehorses Cup. This year, the same as the previous one, organizers are giving T-shirts for the winners. The valid sizes of T-shirts are either "M" or from 0 to 3 "X" followed by "S" or "L". For example, sizes "M", "XXS", "L", "XXXL" are valid and "XM", "Z", "XXXXL" are not. There are n winners to the cup for both the previous year and the current year. Ksenia has a list with the T-shirt sizes printed for the last year cup and is yet to send the new list to the printing office. Organizers want to distribute the prizes as soon as possible, so now Ksenia is required not to write the whole list from the scratch but just make some changes to the list of the previous year. In one second she can choose arbitrary position in any word and replace its character with some uppercase Latin letter. Ksenia can't remove or add letters in any of the words. What is the minimal number of seconds Ksenia is required to spend to change the last year list to the current one? The lists are unordered. That means, two lists are considered equal if and only if the number of occurrences of any string is the same in both lists. Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of T-shirts. The i-th of the next n lines contains a_i — the size of the i-th T-shirt of the list for the previous year. The i-th of the next n lines contains b_i — the size of the i-th T-shirt of the list for the current year. It is guaranteed that all the sizes in the input are valid. It is also guaranteed that Ksenia can produce list b from the list a. Output Print the minimal number of seconds Ksenia is required to spend to change the last year list to the current one. If the lists are already equal, print 0. Examples Input 3 XS XS M XL S XS Output 2 Input 2 XXXL XXL XXL XXXS Output 1 Input 2 M XS XS M Output 0 Note In the first example Ksenia can replace "M" with "S" and "S" in one of the occurrences of "XS" with "L". In the second example Ksenia should replace "L" in "XXXL" with "S". In the third example lists are equal. Tags: greedy, implementation Correct Solution: ``` n = int(input()) L1 = [ [] for i in range(5) ] L2 = [ [] for i in range(5) ] ans = 0 for i in range(n): a = input() L1[len(a)].append(a) for j in range(n): b = input() L2[len(b)].append(b) s = 0 m = 0 l = 0 for i in L1[1]: if i == 'S': s += 1 elif i == 'M': m += 1 else: l += 1 s1 = 0 m1 = 0 l1 = 0 for i in L2[1]: if i == 'S': s1 += 1 elif i == 'M': m1 += 1 else: l1 += 1 ans += (abs(m - m1) + abs(s - s1) + abs(l - l1)) // 2 for i in range(2, 5): s = 0 l = 0 s1 = 0 l1 = 0 for j in range(len(L1[i])): if L1[i][j][i - 1] == 'S': s += 1 else: l += 1 if L2[i][j][i - 1] == 'S': s1 += 1 else: l1 += 1 ans += (abs(l - l1) + abs(s - s1)) // 2 print(ans) ```
6,577
[ 0.352294921875, -0.2685546875, 0.396484375, 0.13720703125, -0.638671875, -0.358154296875, 0.007602691650390625, -0.04132080078125, -0.1011962890625, 0.55712890625, 0.6669921875, -0.26806640625, 0.0186767578125, -0.377197265625, -0.423828125, 0.33935546875, -0.365234375, -0.74560546875, -0.794921875, 0.2486572265625, 0.08978271484375, -0.09600830078125, -1.66796875, -0.256591796875, -0.63818359375, 0.84375, -0.030853271484375, -0.156494140625, 1.0869140625, 0.9951171875, -0.45166015625, -0.33740234375, 0.5439453125, -1.11328125, -0.297607421875, -0.64306640625, 0.286865234375, -0.46630859375, -0.626953125, -0.326416015625, 0.18798828125, -0.285400390625, 0.373291015625, -0.47802734375, -1.0244140625, -0.07659912109375, -0.2254638671875, -0.386962890625, -0.347900390625, -0.64453125, 0.182373046875, -0.228271484375, 0.15283203125, -0.12744140625, -0.1422119140625, 0.1549072265625, -0.312744140625, -0.1854248046875, -0.68310546875, -0.06292724609375, 0.301025390625, 0.07110595703125, -0.161865234375, -0.61181640625, 0.198486328125, 0.370361328125, 0.19287109375, -0.06988525390625, 0.157470703125, -0.5791015625, 0.2039794921875, 0.33837890625, -0.513671875, -0.63720703125, -0.265869140625, 0.1251220703125, 0.203857421875, -0.1263427734375, -0.779296875, 0.6875, 0.1502685546875, 0.96337890625, 0.1192626953125, 0.254150390625, -0.4501953125, -0.415283203125, 0.197998046875, 0.2427978515625, 0.232421875, -0.0390625, -0.131103515625, 0.6171875, -0.7509765625, 0.0355224609375, 0.7333984375, 0.55419921875, -0.050811767578125, 0.27783203125, 0.2509765625, 0.0792236328125, 0.78076171875, 0.81103515625, -0.36474609375, 1.162109375, -0.44873046875, 0.07171630859375, 0.70654296875, -0.169921875, -0.3046875, -0.357666015625, -0.20068359375, -0.2144775390625, 0.390625, 0.53515625, 0.126708984375, 0.9150390625, -0.10833740234375, 0.30908203125, -0.63427734375, 0.0171966552734375, 0.6953125, 0.1661376953125, 0.42626953125, 0.04302978515625, 0.1390380859375, -0.5693359375, -0.1705322265625, 1.060546875, -0.498779296875, -0.05548095703125, 0.273681640625, -0.1898193359375, -0.1494140625, 0.145751953125, -0.0196533203125, 0.77734375, -0.475341796875, 0.78466796875, 0.210693359375, -0.60009765625, 0.53857421875, -0.1456298828125, -0.332275390625, 1.337890625, 0.61279296875, 0.09698486328125, 0.68505859375, 0.03955078125, -0.96337890625, -0.00728607177734375, -0.77880859375, 0.7421875, -0.00824737548828125, 0.468017578125, -0.000040531158447265625, -0.121337890625, -0.4169921875, 0.27490234375, 0.165771484375, -0.050811767578125, -0.322265625, 0.09197998046875, -0.07159423828125, 1.072265625, -0.5185546875, 0.7353515625, -0.6435546875, -0.2108154296875, -0.46484375, -0.5009765625, 0.302734375, -0.28076171875, -0.1246337890625, 0.58740234375, 0.467041015625, 1.1298828125, 0.859375, -0.374267578125, 0.24462890625, 0.1361083984375, -0.318359375, 0.11712646484375, 0.340087890625, 1.1376953125, 0.0179901123046875, 0.26611328125, 0.426025390625, -0.431640625, -0.5546875, -0.60791015625, 0.21142578125, 0.248046875, -0.66748046875, 0.26220703125, 0.09027099609375, 0.09112548828125, -0.544921875, 0.163818359375, -0.10205078125, -1.095703125, -0.349853515625, 0.7373046875, -0.486083984375, 0.1842041015625, -0.255126953125, -0.47314453125, 0.387939453125, 1.1865234375, -0.74755859375, 0.06646728515625, 0.27001953125, 0.05584716796875, -0.39111328125, 0.50732421875, -0.2266845703125, -0.00016248226165771484, -0.34130859375, 0.96484375, -0.6298828125, 0.05206298828125, -0.0213470458984375, 0.55810546875, 0.36376953125, 0.78173828125, -0.10687255859375, -0.290771484375, 0.62255859375, 1.2431640625, 0.1904296875, 0.6923828125, 0.06280517578125, 1.1328125, 0.7265625, 0.99755859375, 0.66943359375, 0.4091796875, 0.8486328125, 0.76953125, 0.1929931640625, 0.53564453125, -0.16455078125, 0.250732421875, 0.61376953125, 0.357421875, 0.2333984375, 0.09820556640625, 0.1038818359375, -0.017730712890625, -0.10321044921875, 0.41748046875, -0.15478515625, 0.81005859375, 0.1531982421875, 0.47705078125, -0.4892578125, -0.21826171875, 0.134033203125, 0.966796875, -0.77294921875, -0.42041015625, -0.447998046875, -0.108154296875, 0.2294921875, 0.0218658447265625, 0.11688232421875, 0.39013671875, 0.179931640625, 0.7275390625, -0.75537109375, -0.4638671875, -0.740234375, -1.060546875, -0.86083984375, -0.6650390625, -0.5595703125, -0.04302978515625, 0.354736328125, -0.75146484375, 0.252197265625, -0.213623046875, -0.140625, 0.09185791015625, -0.47900390625, 0.91064453125, -0.1259765625, 0.87646484375, -0.6103515625, 0.434814453125, 0.08428955078125, 1.1572265625, -1.076171875, -0.2392578125, -0.356689453125, -0.453125, 0.65673828125, -0.2432861328125, 0.28662109375, 0.000385284423828125, -0.6044921875, -1.08984375, -0.440673828125, 0.025634765625, -0.09906005859375, 0.318359375, -0.259033203125, 0.974609375, 0.430908203125, -0.77197265625, 0.671875, 0.65869140625, -1.0361328125, 0.31298828125, 0.21044921875, 0.149658203125, -0.94482421875, 1.078125, 0.329345703125, 0.2340087890625, -0.56787109375, -0.302734375, -0.61279296875, 0.03985595703125, 0.263671875, -0.233642578125, -0.56640625, 0.294677734375, 0.178466796875, -1.328125, 0.5986328125, -1.119140625, -0.78271484375, -0.08868408203125, -0.368408203125, 0.646484375, 0.7001953125, -0.136474609375, 0.247802734375, -0.048492431640625, -0.1282958984375, 0.81787109375, 0.8359375, -0.41650390625, 0.2451171875, 0.408935546875, -0.19384765625, 0.03680419921875, -0.00955963134765625, -0.60791015625, -0.484375, -0.2313232421875, 0.11102294921875, 0.78955078125, 0.669921875, 0.137939453125, 0.359375, 0.64208984375, -0.58203125, -0.40869140625, -0.0908203125, 0.76416015625, 0.323486328125, 0.5791015625, 0.283447265625, -0.311279296875, -0.375732421875, -0.962890625, 0.44091796875, 0.464111328125, 0.71484375, -0.83056640625, 0.72216796875, 0.250732421875, -0.62109375, 0.2415771484375, -0.314697265625, -0.436279296875, 0.91845703125, 0.32666015625, 0.61669921875, -0.7900390625, -0.0079498291015625, -0.462646484375, 0.18359375, 0.4755859375, 0.6162109375, 0.69873046875, -0.1217041015625, -0.54833984375, -0.384033203125, -0.39697265625, 0.035552978515625, -0.25830078125, 0.26611328125, -0.1611328125, -0.423828125, -0.74755859375, 0.20849609375, 0.62841796875, 0.39697265625, -0.00792694091796875, 0.3173828125, 0.1724853515625, 0.73193359375, 0.385009765625, -0.442626953125, 0.08685302734375, -0.60009765625, 0.8564453125, 0.1326904296875, -0.258056640625, -0.689453125, -0.5087890625, -0.2568359375, -0.040557861328125, 0.2469482421875, -0.1748046875, -0.90771484375, 0.0576171875, 0.0177154541015625, 0.7333984375, -0.292724609375, -0.391845703125, -0.145751953125, 0.333251953125, 0.06982421875, -1.08984375, 0.28076171875, -0.365234375, 0.41162109375, 0.4609375, -0.37060546875, -0.3544921875, -0.6396484375, -0.52099609375, -0.7841796875, 0.0941162109375, 0.58935546875, 0.135009765625, 0.207763671875, -1.171875, 0.263916015625, 0.67919921875, -0.350830078125, 0.10736083984375, -0.05682373046875, 0.474365234375, 0.35107421875, 0.9091796875, -0.3740234375, -0.7705078125, 0.47802734375, -1.412109375, 0.305419921875, -0.62548828125, 0.95361328125, -0.27587890625, -0.1103515625, -0.05621337890625, 0.495849609375, -0.34423828125, 0.058807373046875, -0.0823974609375, 0.04278564453125, -0.9853515625, -0.80712890625, 0.6875, -0.1907958984375, -0.465576171875, 1.1103515625, -0.230224609375, -0.462646484375, 0.357421875, 0.564453125, -0.3603515625, 0.1689453125, -0.546875, 0.321533203125, -0.39111328125, -0.52490234375, -0.05645751953125, -0.46923828125, 0.8564453125, -0.0267486572265625, -0.9892578125, -0.1324462890625, -0.95556640625, -0.271484375, 0.02569580078125, -0.309814453125, 0.70703125, 0.150390625, -0.387451171875, -0.2412109375, -0.28369140625, -0.483154296875, -0.0538330078125, -0.84765625, -0.38232421875, 0.4130859375, 0.58203125, 0.1834716796875, -0.1612548828125, -0.57763671875, 0.004627227783203125, 0.00461578369140625, -0.15966796875, -0.6630859375, -0.454833984375, -0.056793212890625, -0.420166015625, -0.1883544921875, 0.2222900390625, 0.32861328125, 0.37841796875, 0.68505859375, 0.4423828125, 0.1990966796875, 0.2015380859375, -0.252685546875, 0.8125, -0.0178070068359375, -1.0927734375, -0.50146484375, 0.50048828125, 0.461669921875, 0.65087890625, 0.400634765625, -1.080078125, -0.65966796875, -1.0693359375, 0.048858642578125, -0.44580078125, -0.061492919921875, -0.75, -0.2366943359375, -0.2880859375, 0.409423828125, -0.4033203125, -0.72998046875, 0.0160064697265625, -1.0556640625, 0.3271484375, -0.87255859375, -0.37158203125, -0.47021484375, -0.69384765625, 0.0810546875, 0.67431640625, 0.034210205078125, 0.54931640625, 0.10894775390625, -0.0345458984375, 0.036834716796875, 0.0084228515625, -0.1397705078125, -0.916015625, 0.044158935546875, 0.1552734375, -0.06610107421875, 0.09619140625, -0.465576171875, 0.9619140625, -1.001953125, 0.1136474609375, -0.333984375, -0.448974609375, -0.04315185546875, -0.38037109375, 0.81494140625, -0.296630859375, 0.1895751953125, -0.52587890625, 0.40380859375, 0.471435546875, -0.331298828125, -0.44140625, -0.5517578125, -0.654296875, -1.2998046875, 0.8505859375, -0.2403564453125, 0.10693359375, -0.7626953125, 0.12066650390625, 1.0283203125, -0.351806640625, 0.3818359375, 1.2734375, -0.039337158203125, 0.1951904296875, -0.78662109375, 0.58349609375, 0.43115234375, -0.468505859375, 0.46240234375, 0.1026611328125, -0.60400390625, 0.01044464111328125, -0.65673828125, -0.865234375, -0.5634765625, 0.1434326171875, 1.1455078125, -0.295166015625, 0.7421875, -0.21923828125, -0.95263671875, -0.5791015625, 0.63671875, 0.461669921875, 0.1783447265625, 0.52099609375, -0.1319580078125, -0.0299835205078125, -0.07415771484375, -0.346923828125, -0.31982421875, -0.19677734375, 1.197265625, -0.087890625, -0.83935546875, 1.1005859375, 0.91796875, -0.83056640625, -0.80078125, 0.233154296875, 0.1427001953125, 0.0880126953125, -0.6787109375, 0.028076171875, 0.85107421875, -0.69189453125, 0.5595703125, 0.1270751953125, 0.050628662109375, 0.279296875, -0.058502197265625, 0.5859375, -0.60546875, 0.26220703125, 0.421142578125, -0.6494140625, -0.203857421875, -0.7529296875, -0.1795654296875, -0.60400390625, 0.15380859375, 0.9443359375, -0.39599609375, 0.01439666748046875, 0.11492919921875, -0.1524658203125, 0.7998046875, -0.6484375, -0.342529296875, 0.469970703125, -0.70703125, -0.62744140625, -0.266357421875, 0.375244140625, 0.004512786865234375, 0.12481689453125, -0.724609375, 0.2188720703125, 0.61083984375, -0.061065673828125, -0.448486328125, -0.84326171875, -0.1085205078125, -1.236328125, -0.47998046875, -0.23291015625, -0.220947265625, -0.3271484375, 0.2340087890625, -0.057830810546875, -0.383056640625, -0.30712890625, 0.611328125, -0.48291015625, 0.7548828125, -0.6962890625, 0.376953125, -0.533203125, -0.3857421875, -0.59375, 0.1485595703125, -0.6435546875, -0.002105712890625, -0.8798828125, 0.293212890625, -0.3857421875, 0.599609375, -0.1201171875, 0.6962890625, -0.07342529296875, -0.79052734375, -0.1649169921875, 0.207763671875, -0.26220703125, 0.59716796875, 1.0517578125, -0.2646484375, 0.26611328125, -0.15087890625, -0.431396484375, -0.50439453125, 0.7333984375, 0.990234375, 0.01395416259765625, 0.00307464599609375, -0.32080078125, 0.099609375, -0.95556640625, 0.3173828125, -0.3125, -0.09576416015625, 0.39111328125, -0.215576171875, 0.49853515625, 0.943359375, -0.04193115234375, 0.69677734375, 0.0279998779296875, 0.0762939453125, 0.392822265625, 0.11181640625, 0.2178955078125, 0.77099609375, 0.57177734375, -0.330810546875, 0.303466796875, 0.2486572265625, -0.316162109375, 0.53271484375, -0.30078125, -0.67138671875, -0.80419921875, -0.1295166015625, -0.2607421875, 0.389892578125, 0.71240234375, -0.2509765625, -0.1859130859375, -0.3720703125, -0.62158203125, 0.280029296875, -1.232421875, -0.6494140625, 0.385498046875, -0.40625, -0.44873046875, -0.413818359375, -0.8125, -0.10992431640625, -0.035888671875, 0.2457275390625, -0.43994140625, 0.5537109375, -0.175537109375, 0.305908203125, -0.1650390625, -0.20361328125, 0.400390625, 0.7314453125, -0.38525390625, -0.7900390625, 0.1539306640625, 1.150390625, 0.2119140625, -0.0247650146484375, -0.5986328125, 0.04132080078125, 0.10479736328125, 0.08612060546875, -0.155517578125, 0.6337890625, 0.07574462890625, 0.2705078125, -0.74951171875, -0.193603515625, -0.30517578125, 0.51513671875, -0.2012939453125, -0.3310546875, -0.359130859375, 0.966796875, 0.94091796875, -0.09759521484375, 0.396240234375, 0.2333984375, 0.58447265625, -0.158935546875, -0.413818359375, -0.578125, 0.892578125, 0.447021484375, 0.814453125, -0.02398681640625, 0.1414794921875, 0.90673828125, 0.423583984375, -0.281494140625, 0.473388671875, 0.2120361328125, -0.09259033203125, -0.03759765625, -0.375, -0.16845703125, -0.140380859375, -0.54345703125, 0.423583984375, -0.67626953125, 0.00948333740234375, -0.07830810546875, -0.86669921875, 0.796875, -0.130126953125, -0.1563720703125, -0.00870513916015625, -0.7802734375, -0.0601806640625, 0.50439453125, 0.153564453125, -0.18603515625, 0.5390625, 0.5732421875, 0.8203125, 0.7646484375, 0.5390625, 0.54345703125, -0.576171875, -0.2100830078125, 0.243408203125, -0.045074462890625, -0.260498046875, -0.591796875, -0.7021484375, 0.159423828125, -0.52978515625, -0.316162109375, 0.81396484375, -0.59228515625, 0.16357421875, -0.388427734375, 0.72314453125, -0.282958984375, 0.454345703125, -0.02325439453125, -0.40966796875, -0.7861328125, 0.75048828125, -0.0245208740234375, 0.64990234375, 0.259033203125, 0.8427734375, 0.09332275390625, 1.232421875, 0.59423828125, -0.2113037109375, 0.1905517578125, 0.1588134765625, -0.61767578125, -0.61474609375, -0.33251953125, -0.552734375, 0.257568359375, -0.6376953125, -0.50048828125, -0.162841796875, 0.68505859375, -0.0111541748046875, -1.1220703125, -0.57666015625, 0.0166015625, -0.669921875, 0.207275390625, 0.406005859375, 0.0014543533325195312, -0.1776123046875, -0.1776123046875, -0.0340576171875, -0.346435546875, 0.63525390625, -0.306640625, 0.28662109375, -0.38134765625, -0.50390625, -0.428466796875, -0.626953125, -0.1893310546875, -0.0897216796875, -0.287353515625, -0.4013671875, 0.39794921875, 0.38037109375, 0.4521484375, 0.26123046875, 0.003726959228515625, 0.08135986328125, 1.2470703125, 1.1669921875, 0.1456298828125, 0.84228515625, 0.2218017578125, -0.46923828125, 0.210693359375, -0.5634765625, 0.26708984375, -0.24951171875, 0.1251220703125, -0.305908203125, 0.265625, -0.306396484375, -1.283203125, -0.15771484375, 0.28466796875, 0.182861328125, -0.52392578125, -0.98583984375, -0.46435546875, -0.9150390625, -0.01800537109375, -0.7998046875, 0.86572265625, 0.00975799560546875, 0.0975341796875, 0.1514892578125, -1.3203125, 4.4765625, 0.9033203125, 1.021484375, 0.292236328125, 0.459716796875, 0.80224609375, 0.237060546875, -0.1514892578125, -0.2208251953125, -0.3408203125, 0.1097412109375, -0.48681640625, -0.119140625, 0.3818359375, -0.068603515625, 0.27685546875, -0.775390625, -0.0382080078125, 0.046295166015625, -0.61279296875, -0.708984375, 0.312744140625, 0.351318359375, 0.6103515625, -0.09136962890625, -0.12408447265625, 0.348876953125, -0.87744140625, -0.42431640625, -0.61328125, 0.57470703125, -0.417724609375, 0.86279296875, 0.1685791015625, -0.183837890625, 0.48779296875, -0.329345703125, -0.384521484375, -0.587890625, -0.0285186767578125, -0.1422119140625, 0.1339111328125, 0.63427734375, -0.68115234375, 0.27099609375, 0.2083740234375, -0.55517578125, 0.36572265625, 0.357177734375, -0.79150390625, 1.046875, -0.266845703125, 0.51171875, -0.75146484375, -0.58837890625, -0.173095703125, 0.2607421875, 0.1776123046875, 0.059356689453125, 0.352294921875, 0.23681640625, 0.482177734375, 0.1505126953125, 0.6337890625, -1.1005859375, 0.75634765625, -0.0460205078125, 0.35888671875, -0.27490234375, -0.57177734375, -0.424072265625, -0.43310546875, -0.1297607421875, -0.56689453125, 0.4365234375, 0.166259765625, -0.106689453125, 1.0263671875, 0.63818359375, -0.8427734375, 0.236083984375, -0.2454833984375, -0.52587890625, -0.2396240234375, 0.4189453125, 1.1865234375, -0.7255859375, -0.0128173828125, -0.07958984375, 0.814453125, 0.65087890625, 1.001953125, 0.186279296875, -0.050140380859375, -0.421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Codehorses has just hosted the second Codehorses Cup. This year, the same as the previous one, organizers are giving T-shirts for the winners. The valid sizes of T-shirts are either "M" or from 0 to 3 "X" followed by "S" or "L". For example, sizes "M", "XXS", "L", "XXXL" are valid and "XM", "Z", "XXXXL" are not. There are n winners to the cup for both the previous year and the current year. Ksenia has a list with the T-shirt sizes printed for the last year cup and is yet to send the new list to the printing office. Organizers want to distribute the prizes as soon as possible, so now Ksenia is required not to write the whole list from the scratch but just make some changes to the list of the previous year. In one second she can choose arbitrary position in any word and replace its character with some uppercase Latin letter. Ksenia can't remove or add letters in any of the words. What is the minimal number of seconds Ksenia is required to spend to change the last year list to the current one? The lists are unordered. That means, two lists are considered equal if and only if the number of occurrences of any string is the same in both lists. Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of T-shirts. The i-th of the next n lines contains a_i — the size of the i-th T-shirt of the list for the previous year. The i-th of the next n lines contains b_i — the size of the i-th T-shirt of the list for the current year. It is guaranteed that all the sizes in the input are valid. It is also guaranteed that Ksenia can produce list b from the list a. Output Print the minimal number of seconds Ksenia is required to spend to change the last year list to the current one. If the lists are already equal, print 0. Examples Input 3 XS XS M XL S XS Output 2 Input 2 XXXL XXL XXL XXXS Output 1 Input 2 M XS XS M Output 0 Note In the first example Ksenia can replace "M" with "S" and "S" in one of the occurrences of "XS" with "L". In the second example Ksenia should replace "L" in "XXXL" with "S". In the third example lists are equal. Tags: greedy, implementation Correct Solution: ``` n=int(input()) d=dict() d1=dict() for i in range(n): l=input() if l not in d: d[l]=1 else: d[l]+=1 x=0 for i in range(n): l=input() if l in d1: d1[l]+=1 else: d1[l]=1 for i in d1: if i in d: x+=max(d1[i]-d[i],0) else: x+=d1[i] print(x) ```
6,578
[ 0.352294921875, -0.2685546875, 0.396484375, 0.13720703125, -0.638671875, -0.358154296875, 0.007602691650390625, -0.04132080078125, -0.1011962890625, 0.55712890625, 0.6669921875, -0.26806640625, 0.0186767578125, -0.377197265625, -0.423828125, 0.33935546875, -0.365234375, -0.74560546875, -0.794921875, 0.2486572265625, 0.08978271484375, -0.09600830078125, -1.66796875, -0.256591796875, -0.63818359375, 0.84375, -0.030853271484375, -0.156494140625, 1.0869140625, 0.9951171875, -0.45166015625, -0.33740234375, 0.5439453125, -1.11328125, -0.297607421875, -0.64306640625, 0.286865234375, -0.46630859375, -0.626953125, -0.326416015625, 0.18798828125, -0.285400390625, 0.373291015625, -0.47802734375, -1.0244140625, -0.07659912109375, -0.2254638671875, -0.386962890625, -0.347900390625, -0.64453125, 0.182373046875, -0.228271484375, 0.15283203125, -0.12744140625, -0.1422119140625, 0.1549072265625, -0.312744140625, -0.1854248046875, -0.68310546875, -0.06292724609375, 0.301025390625, 0.07110595703125, -0.161865234375, -0.61181640625, 0.198486328125, 0.370361328125, 0.19287109375, -0.06988525390625, 0.157470703125, -0.5791015625, 0.2039794921875, 0.33837890625, -0.513671875, -0.63720703125, -0.265869140625, 0.1251220703125, 0.203857421875, -0.1263427734375, -0.779296875, 0.6875, 0.1502685546875, 0.96337890625, 0.1192626953125, 0.254150390625, -0.4501953125, -0.415283203125, 0.197998046875, 0.2427978515625, 0.232421875, -0.0390625, -0.131103515625, 0.6171875, -0.7509765625, 0.0355224609375, 0.7333984375, 0.55419921875, -0.050811767578125, 0.27783203125, 0.2509765625, 0.0792236328125, 0.78076171875, 0.81103515625, -0.36474609375, 1.162109375, -0.44873046875, 0.07171630859375, 0.70654296875, -0.169921875, -0.3046875, -0.357666015625, -0.20068359375, -0.2144775390625, 0.390625, 0.53515625, 0.126708984375, 0.9150390625, -0.10833740234375, 0.30908203125, -0.63427734375, 0.0171966552734375, 0.6953125, 0.1661376953125, 0.42626953125, 0.04302978515625, 0.1390380859375, -0.5693359375, -0.1705322265625, 1.060546875, -0.498779296875, -0.05548095703125, 0.273681640625, -0.1898193359375, -0.1494140625, 0.145751953125, -0.0196533203125, 0.77734375, -0.475341796875, 0.78466796875, 0.210693359375, -0.60009765625, 0.53857421875, -0.1456298828125, -0.332275390625, 1.337890625, 0.61279296875, 0.09698486328125, 0.68505859375, 0.03955078125, -0.96337890625, -0.00728607177734375, -0.77880859375, 0.7421875, -0.00824737548828125, 0.468017578125, -0.000040531158447265625, -0.121337890625, -0.4169921875, 0.27490234375, 0.165771484375, -0.050811767578125, -0.322265625, 0.09197998046875, -0.07159423828125, 1.072265625, -0.5185546875, 0.7353515625, -0.6435546875, -0.2108154296875, -0.46484375, -0.5009765625, 0.302734375, -0.28076171875, -0.1246337890625, 0.58740234375, 0.467041015625, 1.1298828125, 0.859375, -0.374267578125, 0.24462890625, 0.1361083984375, -0.318359375, 0.11712646484375, 0.340087890625, 1.1376953125, 0.0179901123046875, 0.26611328125, 0.426025390625, -0.431640625, -0.5546875, -0.60791015625, 0.21142578125, 0.248046875, -0.66748046875, 0.26220703125, 0.09027099609375, 0.09112548828125, -0.544921875, 0.163818359375, -0.10205078125, -1.095703125, -0.349853515625, 0.7373046875, -0.486083984375, 0.1842041015625, -0.255126953125, -0.47314453125, 0.387939453125, 1.1865234375, -0.74755859375, 0.06646728515625, 0.27001953125, 0.05584716796875, -0.39111328125, 0.50732421875, -0.2266845703125, -0.00016248226165771484, -0.34130859375, 0.96484375, -0.6298828125, 0.05206298828125, -0.0213470458984375, 0.55810546875, 0.36376953125, 0.78173828125, -0.10687255859375, -0.290771484375, 0.62255859375, 1.2431640625, 0.1904296875, 0.6923828125, 0.06280517578125, 1.1328125, 0.7265625, 0.99755859375, 0.66943359375, 0.4091796875, 0.8486328125, 0.76953125, 0.1929931640625, 0.53564453125, -0.16455078125, 0.250732421875, 0.61376953125, 0.357421875, 0.2333984375, 0.09820556640625, 0.1038818359375, -0.017730712890625, -0.10321044921875, 0.41748046875, -0.15478515625, 0.81005859375, 0.1531982421875, 0.47705078125, -0.4892578125, -0.21826171875, 0.134033203125, 0.966796875, -0.77294921875, -0.42041015625, -0.447998046875, -0.108154296875, 0.2294921875, 0.0218658447265625, 0.11688232421875, 0.39013671875, 0.179931640625, 0.7275390625, -0.75537109375, -0.4638671875, -0.740234375, -1.060546875, -0.86083984375, -0.6650390625, -0.5595703125, -0.04302978515625, 0.354736328125, -0.75146484375, 0.252197265625, -0.213623046875, -0.140625, 0.09185791015625, -0.47900390625, 0.91064453125, -0.1259765625, 0.87646484375, -0.6103515625, 0.434814453125, 0.08428955078125, 1.1572265625, -1.076171875, -0.2392578125, -0.356689453125, -0.453125, 0.65673828125, -0.2432861328125, 0.28662109375, 0.000385284423828125, -0.6044921875, -1.08984375, -0.440673828125, 0.025634765625, -0.09906005859375, 0.318359375, -0.259033203125, 0.974609375, 0.430908203125, -0.77197265625, 0.671875, 0.65869140625, -1.0361328125, 0.31298828125, 0.21044921875, 0.149658203125, -0.94482421875, 1.078125, 0.329345703125, 0.2340087890625, -0.56787109375, -0.302734375, -0.61279296875, 0.03985595703125, 0.263671875, -0.233642578125, -0.56640625, 0.294677734375, 0.178466796875, -1.328125, 0.5986328125, -1.119140625, -0.78271484375, -0.08868408203125, -0.368408203125, 0.646484375, 0.7001953125, -0.136474609375, 0.247802734375, -0.048492431640625, -0.1282958984375, 0.81787109375, 0.8359375, -0.41650390625, 0.2451171875, 0.408935546875, -0.19384765625, 0.03680419921875, -0.00955963134765625, -0.60791015625, -0.484375, -0.2313232421875, 0.11102294921875, 0.78955078125, 0.669921875, 0.137939453125, 0.359375, 0.64208984375, -0.58203125, -0.40869140625, -0.0908203125, 0.76416015625, 0.323486328125, 0.5791015625, 0.283447265625, -0.311279296875, -0.375732421875, -0.962890625, 0.44091796875, 0.464111328125, 0.71484375, -0.83056640625, 0.72216796875, 0.250732421875, -0.62109375, 0.2415771484375, -0.314697265625, -0.436279296875, 0.91845703125, 0.32666015625, 0.61669921875, -0.7900390625, -0.0079498291015625, -0.462646484375, 0.18359375, 0.4755859375, 0.6162109375, 0.69873046875, -0.1217041015625, -0.54833984375, -0.384033203125, -0.39697265625, 0.035552978515625, -0.25830078125, 0.26611328125, -0.1611328125, -0.423828125, -0.74755859375, 0.20849609375, 0.62841796875, 0.39697265625, -0.00792694091796875, 0.3173828125, 0.1724853515625, 0.73193359375, 0.385009765625, -0.442626953125, 0.08685302734375, -0.60009765625, 0.8564453125, 0.1326904296875, -0.258056640625, -0.689453125, -0.5087890625, -0.2568359375, -0.040557861328125, 0.2469482421875, -0.1748046875, -0.90771484375, 0.0576171875, 0.0177154541015625, 0.7333984375, -0.292724609375, -0.391845703125, -0.145751953125, 0.333251953125, 0.06982421875, -1.08984375, 0.28076171875, -0.365234375, 0.41162109375, 0.4609375, -0.37060546875, -0.3544921875, -0.6396484375, -0.52099609375, -0.7841796875, 0.0941162109375, 0.58935546875, 0.135009765625, 0.207763671875, -1.171875, 0.263916015625, 0.67919921875, -0.350830078125, 0.10736083984375, -0.05682373046875, 0.474365234375, 0.35107421875, 0.9091796875, -0.3740234375, -0.7705078125, 0.47802734375, -1.412109375, 0.305419921875, -0.62548828125, 0.95361328125, -0.27587890625, -0.1103515625, -0.05621337890625, 0.495849609375, -0.34423828125, 0.058807373046875, -0.0823974609375, 0.04278564453125, -0.9853515625, -0.80712890625, 0.6875, -0.1907958984375, -0.465576171875, 1.1103515625, -0.230224609375, -0.462646484375, 0.357421875, 0.564453125, -0.3603515625, 0.1689453125, -0.546875, 0.321533203125, -0.39111328125, -0.52490234375, -0.05645751953125, -0.46923828125, 0.8564453125, -0.0267486572265625, -0.9892578125, -0.1324462890625, -0.95556640625, -0.271484375, 0.02569580078125, -0.309814453125, 0.70703125, 0.150390625, -0.387451171875, -0.2412109375, -0.28369140625, -0.483154296875, -0.0538330078125, -0.84765625, -0.38232421875, 0.4130859375, 0.58203125, 0.1834716796875, -0.1612548828125, -0.57763671875, 0.004627227783203125, 0.00461578369140625, -0.15966796875, -0.6630859375, -0.454833984375, -0.056793212890625, -0.420166015625, -0.1883544921875, 0.2222900390625, 0.32861328125, 0.37841796875, 0.68505859375, 0.4423828125, 0.1990966796875, 0.2015380859375, -0.252685546875, 0.8125, -0.0178070068359375, -1.0927734375, -0.50146484375, 0.50048828125, 0.461669921875, 0.65087890625, 0.400634765625, -1.080078125, -0.65966796875, -1.0693359375, 0.048858642578125, -0.44580078125, -0.061492919921875, -0.75, -0.2366943359375, -0.2880859375, 0.409423828125, -0.4033203125, -0.72998046875, 0.0160064697265625, -1.0556640625, 0.3271484375, -0.87255859375, -0.37158203125, -0.47021484375, -0.69384765625, 0.0810546875, 0.67431640625, 0.034210205078125, 0.54931640625, 0.10894775390625, -0.0345458984375, 0.036834716796875, 0.0084228515625, -0.1397705078125, -0.916015625, 0.044158935546875, 0.1552734375, -0.06610107421875, 0.09619140625, -0.465576171875, 0.9619140625, -1.001953125, 0.1136474609375, -0.333984375, -0.448974609375, -0.04315185546875, -0.38037109375, 0.81494140625, -0.296630859375, 0.1895751953125, -0.52587890625, 0.40380859375, 0.471435546875, -0.331298828125, -0.44140625, -0.5517578125, -0.654296875, -1.2998046875, 0.8505859375, -0.2403564453125, 0.10693359375, -0.7626953125, 0.12066650390625, 1.0283203125, -0.351806640625, 0.3818359375, 1.2734375, -0.039337158203125, 0.1951904296875, -0.78662109375, 0.58349609375, 0.43115234375, -0.468505859375, 0.46240234375, 0.1026611328125, -0.60400390625, 0.01044464111328125, -0.65673828125, -0.865234375, -0.5634765625, 0.1434326171875, 1.1455078125, -0.295166015625, 0.7421875, -0.21923828125, -0.95263671875, -0.5791015625, 0.63671875, 0.461669921875, 0.1783447265625, 0.52099609375, -0.1319580078125, -0.0299835205078125, -0.07415771484375, -0.346923828125, -0.31982421875, -0.19677734375, 1.197265625, -0.087890625, -0.83935546875, 1.1005859375, 0.91796875, -0.83056640625, -0.80078125, 0.233154296875, 0.1427001953125, 0.0880126953125, -0.6787109375, 0.028076171875, 0.85107421875, -0.69189453125, 0.5595703125, 0.1270751953125, 0.050628662109375, 0.279296875, -0.058502197265625, 0.5859375, -0.60546875, 0.26220703125, 0.421142578125, -0.6494140625, -0.203857421875, -0.7529296875, -0.1795654296875, -0.60400390625, 0.15380859375, 0.9443359375, -0.39599609375, 0.01439666748046875, 0.11492919921875, -0.1524658203125, 0.7998046875, -0.6484375, -0.342529296875, 0.469970703125, -0.70703125, -0.62744140625, -0.266357421875, 0.375244140625, 0.004512786865234375, 0.12481689453125, -0.724609375, 0.2188720703125, 0.61083984375, -0.061065673828125, -0.448486328125, -0.84326171875, -0.1085205078125, -1.236328125, -0.47998046875, -0.23291015625, -0.220947265625, -0.3271484375, 0.2340087890625, -0.057830810546875, -0.383056640625, -0.30712890625, 0.611328125, -0.48291015625, 0.7548828125, -0.6962890625, 0.376953125, -0.533203125, -0.3857421875, -0.59375, 0.1485595703125, -0.6435546875, -0.002105712890625, -0.8798828125, 0.293212890625, -0.3857421875, 0.599609375, -0.1201171875, 0.6962890625, -0.07342529296875, -0.79052734375, -0.1649169921875, 0.207763671875, -0.26220703125, 0.59716796875, 1.0517578125, -0.2646484375, 0.26611328125, -0.15087890625, -0.431396484375, -0.50439453125, 0.7333984375, 0.990234375, 0.01395416259765625, 0.00307464599609375, -0.32080078125, 0.099609375, -0.95556640625, 0.3173828125, -0.3125, -0.09576416015625, 0.39111328125, -0.215576171875, 0.49853515625, 0.943359375, -0.04193115234375, 0.69677734375, 0.0279998779296875, 0.0762939453125, 0.392822265625, 0.11181640625, 0.2178955078125, 0.77099609375, 0.57177734375, -0.330810546875, 0.303466796875, 0.2486572265625, -0.316162109375, 0.53271484375, -0.30078125, -0.67138671875, -0.80419921875, -0.1295166015625, -0.2607421875, 0.389892578125, 0.71240234375, -0.2509765625, -0.1859130859375, -0.3720703125, -0.62158203125, 0.280029296875, -1.232421875, -0.6494140625, 0.385498046875, -0.40625, -0.44873046875, -0.413818359375, -0.8125, -0.10992431640625, -0.035888671875, 0.2457275390625, -0.43994140625, 0.5537109375, -0.175537109375, 0.305908203125, -0.1650390625, -0.20361328125, 0.400390625, 0.7314453125, -0.38525390625, -0.7900390625, 0.1539306640625, 1.150390625, 0.2119140625, -0.0247650146484375, -0.5986328125, 0.04132080078125, 0.10479736328125, 0.08612060546875, -0.155517578125, 0.6337890625, 0.07574462890625, 0.2705078125, -0.74951171875, -0.193603515625, -0.30517578125, 0.51513671875, -0.2012939453125, -0.3310546875, -0.359130859375, 0.966796875, 0.94091796875, -0.09759521484375, 0.396240234375, 0.2333984375, 0.58447265625, -0.158935546875, -0.413818359375, -0.578125, 0.892578125, 0.447021484375, 0.814453125, -0.02398681640625, 0.1414794921875, 0.90673828125, 0.423583984375, -0.281494140625, 0.473388671875, 0.2120361328125, -0.09259033203125, -0.03759765625, -0.375, -0.16845703125, -0.140380859375, -0.54345703125, 0.423583984375, -0.67626953125, 0.00948333740234375, -0.07830810546875, -0.86669921875, 0.796875, -0.130126953125, -0.1563720703125, -0.00870513916015625, -0.7802734375, -0.0601806640625, 0.50439453125, 0.153564453125, -0.18603515625, 0.5390625, 0.5732421875, 0.8203125, 0.7646484375, 0.5390625, 0.54345703125, -0.576171875, -0.2100830078125, 0.243408203125, -0.045074462890625, -0.260498046875, -0.591796875, -0.7021484375, 0.159423828125, -0.52978515625, -0.316162109375, 0.81396484375, -0.59228515625, 0.16357421875, -0.388427734375, 0.72314453125, -0.282958984375, 0.454345703125, -0.02325439453125, -0.40966796875, -0.7861328125, 0.75048828125, -0.0245208740234375, 0.64990234375, 0.259033203125, 0.8427734375, 0.09332275390625, 1.232421875, 0.59423828125, -0.2113037109375, 0.1905517578125, 0.1588134765625, -0.61767578125, -0.61474609375, -0.33251953125, -0.552734375, 0.257568359375, -0.6376953125, -0.50048828125, -0.162841796875, 0.68505859375, -0.0111541748046875, -1.1220703125, -0.57666015625, 0.0166015625, -0.669921875, 0.207275390625, 0.406005859375, 0.0014543533325195312, -0.1776123046875, -0.1776123046875, -0.0340576171875, -0.346435546875, 0.63525390625, -0.306640625, 0.28662109375, -0.38134765625, -0.50390625, -0.428466796875, -0.626953125, -0.1893310546875, -0.0897216796875, -0.287353515625, -0.4013671875, 0.39794921875, 0.38037109375, 0.4521484375, 0.26123046875, 0.003726959228515625, 0.08135986328125, 1.2470703125, 1.1669921875, 0.1456298828125, 0.84228515625, 0.2218017578125, -0.46923828125, 0.210693359375, -0.5634765625, 0.26708984375, -0.24951171875, 0.1251220703125, -0.305908203125, 0.265625, -0.306396484375, -1.283203125, -0.15771484375, 0.28466796875, 0.182861328125, -0.52392578125, -0.98583984375, -0.46435546875, -0.9150390625, -0.01800537109375, -0.7998046875, 0.86572265625, 0.00975799560546875, 0.0975341796875, 0.1514892578125, -1.3203125, 4.4765625, 0.9033203125, 1.021484375, 0.292236328125, 0.459716796875, 0.80224609375, 0.237060546875, -0.1514892578125, -0.2208251953125, -0.3408203125, 0.1097412109375, -0.48681640625, -0.119140625, 0.3818359375, -0.068603515625, 0.27685546875, -0.775390625, -0.0382080078125, 0.046295166015625, -0.61279296875, -0.708984375, 0.312744140625, 0.351318359375, 0.6103515625, -0.09136962890625, -0.12408447265625, 0.348876953125, -0.87744140625, -0.42431640625, -0.61328125, 0.57470703125, -0.417724609375, 0.86279296875, 0.1685791015625, -0.183837890625, 0.48779296875, -0.329345703125, -0.384521484375, -0.587890625, -0.0285186767578125, -0.1422119140625, 0.1339111328125, 0.63427734375, -0.68115234375, 0.27099609375, 0.2083740234375, -0.55517578125, 0.36572265625, 0.357177734375, -0.79150390625, 1.046875, -0.266845703125, 0.51171875, -0.75146484375, -0.58837890625, -0.173095703125, 0.2607421875, 0.1776123046875, 0.059356689453125, 0.352294921875, 0.23681640625, 0.482177734375, 0.1505126953125, 0.6337890625, -1.1005859375, 0.75634765625, -0.0460205078125, 0.35888671875, -0.27490234375, -0.57177734375, -0.424072265625, -0.43310546875, -0.1297607421875, -0.56689453125, 0.4365234375, 0.166259765625, -0.106689453125, 1.0263671875, 0.63818359375, -0.8427734375, 0.236083984375, -0.2454833984375, -0.52587890625, -0.2396240234375, 0.4189453125, 1.1865234375, -0.7255859375, -0.0128173828125, -0.07958984375, 0.814453125, 0.65087890625, 1.001953125, 0.186279296875, -0.050140380859375, -0.421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Codehorses has just hosted the second Codehorses Cup. This year, the same as the previous one, organizers are giving T-shirts for the winners. The valid sizes of T-shirts are either "M" or from 0 to 3 "X" followed by "S" or "L". For example, sizes "M", "XXS", "L", "XXXL" are valid and "XM", "Z", "XXXXL" are not. There are n winners to the cup for both the previous year and the current year. Ksenia has a list with the T-shirt sizes printed for the last year cup and is yet to send the new list to the printing office. Organizers want to distribute the prizes as soon as possible, so now Ksenia is required not to write the whole list from the scratch but just make some changes to the list of the previous year. In one second she can choose arbitrary position in any word and replace its character with some uppercase Latin letter. Ksenia can't remove or add letters in any of the words. What is the minimal number of seconds Ksenia is required to spend to change the last year list to the current one? The lists are unordered. That means, two lists are considered equal if and only if the number of occurrences of any string is the same in both lists. Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of T-shirts. The i-th of the next n lines contains a_i — the size of the i-th T-shirt of the list for the previous year. The i-th of the next n lines contains b_i — the size of the i-th T-shirt of the list for the current year. It is guaranteed that all the sizes in the input are valid. It is also guaranteed that Ksenia can produce list b from the list a. Output Print the minimal number of seconds Ksenia is required to spend to change the last year list to the current one. If the lists are already equal, print 0. Examples Input 3 XS XS M XL S XS Output 2 Input 2 XXXL XXL XXL XXXS Output 1 Input 2 M XS XS M Output 0 Note In the first example Ksenia can replace "M" with "S" and "S" in one of the occurrences of "XS" with "L". In the second example Ksenia should replace "L" in "XXXL" with "S". In the third example lists are equal. Tags: greedy, implementation Correct Solution: ``` def check(a,b): if a==None or b==None: return 0 count=0 if len(a)==len(b): count+=1 elif len(b)>len(a): if b[len(b)-1]!=a[len(a)-1]: count+=1 count=count+len(b)-len(a) else: check(b,a) return count n=int(input()) a=[] b=[] n=2*n for i in range(1,n+1): if i <= n//2: t=str(input()) a.append(t) else: z=str(input()) if a.count(z)==0: b.append(z) else: a.remove(z) a.sort() b.sort() #print(a,b) sum=0 for i in range(len(a)): sum=sum+check(a[i],b[i]) print(sum) #print(a,b)` ```
6,579
[ 0.352294921875, -0.2685546875, 0.396484375, 0.13720703125, -0.638671875, -0.358154296875, 0.007602691650390625, -0.04132080078125, -0.1011962890625, 0.55712890625, 0.6669921875, -0.26806640625, 0.0186767578125, -0.377197265625, -0.423828125, 0.33935546875, -0.365234375, -0.74560546875, -0.794921875, 0.2486572265625, 0.08978271484375, -0.09600830078125, -1.66796875, -0.256591796875, -0.63818359375, 0.84375, -0.030853271484375, -0.156494140625, 1.0869140625, 0.9951171875, -0.45166015625, -0.33740234375, 0.5439453125, -1.11328125, -0.297607421875, -0.64306640625, 0.286865234375, -0.46630859375, -0.626953125, -0.326416015625, 0.18798828125, -0.285400390625, 0.373291015625, -0.47802734375, -1.0244140625, -0.07659912109375, -0.2254638671875, -0.386962890625, -0.347900390625, -0.64453125, 0.182373046875, -0.228271484375, 0.15283203125, -0.12744140625, -0.1422119140625, 0.1549072265625, -0.312744140625, -0.1854248046875, -0.68310546875, -0.06292724609375, 0.301025390625, 0.07110595703125, -0.161865234375, -0.61181640625, 0.198486328125, 0.370361328125, 0.19287109375, -0.06988525390625, 0.157470703125, -0.5791015625, 0.2039794921875, 0.33837890625, -0.513671875, -0.63720703125, -0.265869140625, 0.1251220703125, 0.203857421875, -0.1263427734375, -0.779296875, 0.6875, 0.1502685546875, 0.96337890625, 0.1192626953125, 0.254150390625, -0.4501953125, -0.415283203125, 0.197998046875, 0.2427978515625, 0.232421875, -0.0390625, -0.131103515625, 0.6171875, -0.7509765625, 0.0355224609375, 0.7333984375, 0.55419921875, -0.050811767578125, 0.27783203125, 0.2509765625, 0.0792236328125, 0.78076171875, 0.81103515625, -0.36474609375, 1.162109375, -0.44873046875, 0.07171630859375, 0.70654296875, -0.169921875, -0.3046875, -0.357666015625, -0.20068359375, -0.2144775390625, 0.390625, 0.53515625, 0.126708984375, 0.9150390625, -0.10833740234375, 0.30908203125, -0.63427734375, 0.0171966552734375, 0.6953125, 0.1661376953125, 0.42626953125, 0.04302978515625, 0.1390380859375, -0.5693359375, -0.1705322265625, 1.060546875, -0.498779296875, -0.05548095703125, 0.273681640625, -0.1898193359375, -0.1494140625, 0.145751953125, -0.0196533203125, 0.77734375, -0.475341796875, 0.78466796875, 0.210693359375, -0.60009765625, 0.53857421875, -0.1456298828125, -0.332275390625, 1.337890625, 0.61279296875, 0.09698486328125, 0.68505859375, 0.03955078125, -0.96337890625, -0.00728607177734375, -0.77880859375, 0.7421875, -0.00824737548828125, 0.468017578125, -0.000040531158447265625, -0.121337890625, -0.4169921875, 0.27490234375, 0.165771484375, -0.050811767578125, -0.322265625, 0.09197998046875, -0.07159423828125, 1.072265625, -0.5185546875, 0.7353515625, -0.6435546875, -0.2108154296875, -0.46484375, -0.5009765625, 0.302734375, -0.28076171875, -0.1246337890625, 0.58740234375, 0.467041015625, 1.1298828125, 0.859375, -0.374267578125, 0.24462890625, 0.1361083984375, -0.318359375, 0.11712646484375, 0.340087890625, 1.1376953125, 0.0179901123046875, 0.26611328125, 0.426025390625, -0.431640625, -0.5546875, -0.60791015625, 0.21142578125, 0.248046875, -0.66748046875, 0.26220703125, 0.09027099609375, 0.09112548828125, -0.544921875, 0.163818359375, -0.10205078125, -1.095703125, -0.349853515625, 0.7373046875, -0.486083984375, 0.1842041015625, -0.255126953125, -0.47314453125, 0.387939453125, 1.1865234375, -0.74755859375, 0.06646728515625, 0.27001953125, 0.05584716796875, -0.39111328125, 0.50732421875, -0.2266845703125, -0.00016248226165771484, -0.34130859375, 0.96484375, -0.6298828125, 0.05206298828125, -0.0213470458984375, 0.55810546875, 0.36376953125, 0.78173828125, -0.10687255859375, -0.290771484375, 0.62255859375, 1.2431640625, 0.1904296875, 0.6923828125, 0.06280517578125, 1.1328125, 0.7265625, 0.99755859375, 0.66943359375, 0.4091796875, 0.8486328125, 0.76953125, 0.1929931640625, 0.53564453125, -0.16455078125, 0.250732421875, 0.61376953125, 0.357421875, 0.2333984375, 0.09820556640625, 0.1038818359375, -0.017730712890625, -0.10321044921875, 0.41748046875, -0.15478515625, 0.81005859375, 0.1531982421875, 0.47705078125, -0.4892578125, -0.21826171875, 0.134033203125, 0.966796875, -0.77294921875, -0.42041015625, -0.447998046875, -0.108154296875, 0.2294921875, 0.0218658447265625, 0.11688232421875, 0.39013671875, 0.179931640625, 0.7275390625, -0.75537109375, -0.4638671875, -0.740234375, -1.060546875, -0.86083984375, -0.6650390625, -0.5595703125, -0.04302978515625, 0.354736328125, -0.75146484375, 0.252197265625, -0.213623046875, -0.140625, 0.09185791015625, -0.47900390625, 0.91064453125, -0.1259765625, 0.87646484375, -0.6103515625, 0.434814453125, 0.08428955078125, 1.1572265625, -1.076171875, -0.2392578125, -0.356689453125, -0.453125, 0.65673828125, -0.2432861328125, 0.28662109375, 0.000385284423828125, -0.6044921875, -1.08984375, -0.440673828125, 0.025634765625, -0.09906005859375, 0.318359375, -0.259033203125, 0.974609375, 0.430908203125, -0.77197265625, 0.671875, 0.65869140625, -1.0361328125, 0.31298828125, 0.21044921875, 0.149658203125, -0.94482421875, 1.078125, 0.329345703125, 0.2340087890625, -0.56787109375, -0.302734375, -0.61279296875, 0.03985595703125, 0.263671875, -0.233642578125, -0.56640625, 0.294677734375, 0.178466796875, -1.328125, 0.5986328125, -1.119140625, -0.78271484375, -0.08868408203125, -0.368408203125, 0.646484375, 0.7001953125, -0.136474609375, 0.247802734375, -0.048492431640625, -0.1282958984375, 0.81787109375, 0.8359375, -0.41650390625, 0.2451171875, 0.408935546875, -0.19384765625, 0.03680419921875, -0.00955963134765625, -0.60791015625, -0.484375, -0.2313232421875, 0.11102294921875, 0.78955078125, 0.669921875, 0.137939453125, 0.359375, 0.64208984375, -0.58203125, -0.40869140625, -0.0908203125, 0.76416015625, 0.323486328125, 0.5791015625, 0.283447265625, -0.311279296875, -0.375732421875, -0.962890625, 0.44091796875, 0.464111328125, 0.71484375, -0.83056640625, 0.72216796875, 0.250732421875, -0.62109375, 0.2415771484375, -0.314697265625, -0.436279296875, 0.91845703125, 0.32666015625, 0.61669921875, -0.7900390625, -0.0079498291015625, -0.462646484375, 0.18359375, 0.4755859375, 0.6162109375, 0.69873046875, -0.1217041015625, -0.54833984375, -0.384033203125, -0.39697265625, 0.035552978515625, -0.25830078125, 0.26611328125, -0.1611328125, -0.423828125, -0.74755859375, 0.20849609375, 0.62841796875, 0.39697265625, -0.00792694091796875, 0.3173828125, 0.1724853515625, 0.73193359375, 0.385009765625, -0.442626953125, 0.08685302734375, -0.60009765625, 0.8564453125, 0.1326904296875, -0.258056640625, -0.689453125, -0.5087890625, -0.2568359375, -0.040557861328125, 0.2469482421875, -0.1748046875, -0.90771484375, 0.0576171875, 0.0177154541015625, 0.7333984375, -0.292724609375, -0.391845703125, -0.145751953125, 0.333251953125, 0.06982421875, -1.08984375, 0.28076171875, -0.365234375, 0.41162109375, 0.4609375, -0.37060546875, -0.3544921875, -0.6396484375, -0.52099609375, -0.7841796875, 0.0941162109375, 0.58935546875, 0.135009765625, 0.207763671875, -1.171875, 0.263916015625, 0.67919921875, -0.350830078125, 0.10736083984375, -0.05682373046875, 0.474365234375, 0.35107421875, 0.9091796875, -0.3740234375, -0.7705078125, 0.47802734375, -1.412109375, 0.305419921875, -0.62548828125, 0.95361328125, -0.27587890625, -0.1103515625, -0.05621337890625, 0.495849609375, -0.34423828125, 0.058807373046875, -0.0823974609375, 0.04278564453125, -0.9853515625, -0.80712890625, 0.6875, -0.1907958984375, -0.465576171875, 1.1103515625, -0.230224609375, -0.462646484375, 0.357421875, 0.564453125, -0.3603515625, 0.1689453125, -0.546875, 0.321533203125, -0.39111328125, -0.52490234375, -0.05645751953125, -0.46923828125, 0.8564453125, -0.0267486572265625, -0.9892578125, -0.1324462890625, -0.95556640625, -0.271484375, 0.02569580078125, -0.309814453125, 0.70703125, 0.150390625, -0.387451171875, -0.2412109375, -0.28369140625, -0.483154296875, -0.0538330078125, -0.84765625, -0.38232421875, 0.4130859375, 0.58203125, 0.1834716796875, -0.1612548828125, -0.57763671875, 0.004627227783203125, 0.00461578369140625, -0.15966796875, -0.6630859375, -0.454833984375, -0.056793212890625, -0.420166015625, -0.1883544921875, 0.2222900390625, 0.32861328125, 0.37841796875, 0.68505859375, 0.4423828125, 0.1990966796875, 0.2015380859375, -0.252685546875, 0.8125, -0.0178070068359375, -1.0927734375, -0.50146484375, 0.50048828125, 0.461669921875, 0.65087890625, 0.400634765625, -1.080078125, -0.65966796875, -1.0693359375, 0.048858642578125, -0.44580078125, -0.061492919921875, -0.75, -0.2366943359375, -0.2880859375, 0.409423828125, -0.4033203125, -0.72998046875, 0.0160064697265625, -1.0556640625, 0.3271484375, -0.87255859375, -0.37158203125, -0.47021484375, -0.69384765625, 0.0810546875, 0.67431640625, 0.034210205078125, 0.54931640625, 0.10894775390625, -0.0345458984375, 0.036834716796875, 0.0084228515625, -0.1397705078125, -0.916015625, 0.044158935546875, 0.1552734375, -0.06610107421875, 0.09619140625, -0.465576171875, 0.9619140625, -1.001953125, 0.1136474609375, -0.333984375, -0.448974609375, -0.04315185546875, -0.38037109375, 0.81494140625, -0.296630859375, 0.1895751953125, -0.52587890625, 0.40380859375, 0.471435546875, -0.331298828125, -0.44140625, -0.5517578125, -0.654296875, -1.2998046875, 0.8505859375, -0.2403564453125, 0.10693359375, -0.7626953125, 0.12066650390625, 1.0283203125, -0.351806640625, 0.3818359375, 1.2734375, -0.039337158203125, 0.1951904296875, -0.78662109375, 0.58349609375, 0.43115234375, -0.468505859375, 0.46240234375, 0.1026611328125, -0.60400390625, 0.01044464111328125, -0.65673828125, -0.865234375, -0.5634765625, 0.1434326171875, 1.1455078125, -0.295166015625, 0.7421875, -0.21923828125, -0.95263671875, -0.5791015625, 0.63671875, 0.461669921875, 0.1783447265625, 0.52099609375, -0.1319580078125, -0.0299835205078125, -0.07415771484375, -0.346923828125, -0.31982421875, -0.19677734375, 1.197265625, -0.087890625, -0.83935546875, 1.1005859375, 0.91796875, -0.83056640625, -0.80078125, 0.233154296875, 0.1427001953125, 0.0880126953125, -0.6787109375, 0.028076171875, 0.85107421875, -0.69189453125, 0.5595703125, 0.1270751953125, 0.050628662109375, 0.279296875, -0.058502197265625, 0.5859375, -0.60546875, 0.26220703125, 0.421142578125, -0.6494140625, -0.203857421875, -0.7529296875, -0.1795654296875, -0.60400390625, 0.15380859375, 0.9443359375, -0.39599609375, 0.01439666748046875, 0.11492919921875, -0.1524658203125, 0.7998046875, -0.6484375, -0.342529296875, 0.469970703125, -0.70703125, -0.62744140625, -0.266357421875, 0.375244140625, 0.004512786865234375, 0.12481689453125, -0.724609375, 0.2188720703125, 0.61083984375, -0.061065673828125, -0.448486328125, -0.84326171875, -0.1085205078125, -1.236328125, -0.47998046875, -0.23291015625, -0.220947265625, -0.3271484375, 0.2340087890625, -0.057830810546875, -0.383056640625, -0.30712890625, 0.611328125, -0.48291015625, 0.7548828125, -0.6962890625, 0.376953125, -0.533203125, -0.3857421875, -0.59375, 0.1485595703125, -0.6435546875, -0.002105712890625, -0.8798828125, 0.293212890625, -0.3857421875, 0.599609375, -0.1201171875, 0.6962890625, -0.07342529296875, -0.79052734375, -0.1649169921875, 0.207763671875, -0.26220703125, 0.59716796875, 1.0517578125, -0.2646484375, 0.26611328125, -0.15087890625, -0.431396484375, -0.50439453125, 0.7333984375, 0.990234375, 0.01395416259765625, 0.00307464599609375, -0.32080078125, 0.099609375, -0.95556640625, 0.3173828125, -0.3125, -0.09576416015625, 0.39111328125, -0.215576171875, 0.49853515625, 0.943359375, -0.04193115234375, 0.69677734375, 0.0279998779296875, 0.0762939453125, 0.392822265625, 0.11181640625, 0.2178955078125, 0.77099609375, 0.57177734375, -0.330810546875, 0.303466796875, 0.2486572265625, -0.316162109375, 0.53271484375, -0.30078125, -0.67138671875, -0.80419921875, -0.1295166015625, -0.2607421875, 0.389892578125, 0.71240234375, -0.2509765625, -0.1859130859375, -0.3720703125, -0.62158203125, 0.280029296875, -1.232421875, -0.6494140625, 0.385498046875, -0.40625, -0.44873046875, -0.413818359375, -0.8125, -0.10992431640625, -0.035888671875, 0.2457275390625, -0.43994140625, 0.5537109375, -0.175537109375, 0.305908203125, -0.1650390625, -0.20361328125, 0.400390625, 0.7314453125, -0.38525390625, -0.7900390625, 0.1539306640625, 1.150390625, 0.2119140625, -0.0247650146484375, -0.5986328125, 0.04132080078125, 0.10479736328125, 0.08612060546875, -0.155517578125, 0.6337890625, 0.07574462890625, 0.2705078125, -0.74951171875, -0.193603515625, -0.30517578125, 0.51513671875, -0.2012939453125, -0.3310546875, -0.359130859375, 0.966796875, 0.94091796875, -0.09759521484375, 0.396240234375, 0.2333984375, 0.58447265625, -0.158935546875, -0.413818359375, -0.578125, 0.892578125, 0.447021484375, 0.814453125, -0.02398681640625, 0.1414794921875, 0.90673828125, 0.423583984375, -0.281494140625, 0.473388671875, 0.2120361328125, -0.09259033203125, -0.03759765625, -0.375, -0.16845703125, -0.140380859375, -0.54345703125, 0.423583984375, -0.67626953125, 0.00948333740234375, -0.07830810546875, -0.86669921875, 0.796875, -0.130126953125, -0.1563720703125, -0.00870513916015625, -0.7802734375, -0.0601806640625, 0.50439453125, 0.153564453125, -0.18603515625, 0.5390625, 0.5732421875, 0.8203125, 0.7646484375, 0.5390625, 0.54345703125, -0.576171875, -0.2100830078125, 0.243408203125, -0.045074462890625, -0.260498046875, -0.591796875, -0.7021484375, 0.159423828125, -0.52978515625, -0.316162109375, 0.81396484375, -0.59228515625, 0.16357421875, -0.388427734375, 0.72314453125, -0.282958984375, 0.454345703125, -0.02325439453125, -0.40966796875, -0.7861328125, 0.75048828125, -0.0245208740234375, 0.64990234375, 0.259033203125, 0.8427734375, 0.09332275390625, 1.232421875, 0.59423828125, -0.2113037109375, 0.1905517578125, 0.1588134765625, -0.61767578125, -0.61474609375, -0.33251953125, -0.552734375, 0.257568359375, -0.6376953125, -0.50048828125, -0.162841796875, 0.68505859375, -0.0111541748046875, -1.1220703125, -0.57666015625, 0.0166015625, -0.669921875, 0.207275390625, 0.406005859375, 0.0014543533325195312, -0.1776123046875, -0.1776123046875, -0.0340576171875, -0.346435546875, 0.63525390625, -0.306640625, 0.28662109375, -0.38134765625, -0.50390625, -0.428466796875, -0.626953125, -0.1893310546875, -0.0897216796875, -0.287353515625, -0.4013671875, 0.39794921875, 0.38037109375, 0.4521484375, 0.26123046875, 0.003726959228515625, 0.08135986328125, 1.2470703125, 1.1669921875, 0.1456298828125, 0.84228515625, 0.2218017578125, -0.46923828125, 0.210693359375, -0.5634765625, 0.26708984375, -0.24951171875, 0.1251220703125, -0.305908203125, 0.265625, -0.306396484375, -1.283203125, -0.15771484375, 0.28466796875, 0.182861328125, -0.52392578125, -0.98583984375, -0.46435546875, -0.9150390625, -0.01800537109375, -0.7998046875, 0.86572265625, 0.00975799560546875, 0.0975341796875, 0.1514892578125, -1.3203125, 4.4765625, 0.9033203125, 1.021484375, 0.292236328125, 0.459716796875, 0.80224609375, 0.237060546875, -0.1514892578125, -0.2208251953125, -0.3408203125, 0.1097412109375, -0.48681640625, -0.119140625, 0.3818359375, -0.068603515625, 0.27685546875, -0.775390625, -0.0382080078125, 0.046295166015625, -0.61279296875, -0.708984375, 0.312744140625, 0.351318359375, 0.6103515625, -0.09136962890625, -0.12408447265625, 0.348876953125, -0.87744140625, -0.42431640625, -0.61328125, 0.57470703125, -0.417724609375, 0.86279296875, 0.1685791015625, -0.183837890625, 0.48779296875, -0.329345703125, -0.384521484375, -0.587890625, -0.0285186767578125, -0.1422119140625, 0.1339111328125, 0.63427734375, -0.68115234375, 0.27099609375, 0.2083740234375, -0.55517578125, 0.36572265625, 0.357177734375, -0.79150390625, 1.046875, -0.266845703125, 0.51171875, -0.75146484375, -0.58837890625, -0.173095703125, 0.2607421875, 0.1776123046875, 0.059356689453125, 0.352294921875, 0.23681640625, 0.482177734375, 0.1505126953125, 0.6337890625, -1.1005859375, 0.75634765625, -0.0460205078125, 0.35888671875, -0.27490234375, -0.57177734375, -0.424072265625, -0.43310546875, -0.1297607421875, -0.56689453125, 0.4365234375, 0.166259765625, -0.106689453125, 1.0263671875, 0.63818359375, -0.8427734375, 0.236083984375, -0.2454833984375, -0.52587890625, -0.2396240234375, 0.4189453125, 1.1865234375, -0.7255859375, -0.0128173828125, -0.07958984375, 0.814453125, 0.65087890625, 1.001953125, 0.186279296875, -0.050140380859375, -0.421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a matrix of size n × n filled with lowercase English letters. You can change no more than k letters in this matrix. Consider all paths from the upper left corner to the lower right corner that move from a cell to its neighboring cell to the right or down. Each path is associated with the string that is formed by all the letters in the cells the path visits. Thus, the length of each string is 2n - 1. Find the lexicographically smallest string that can be associated with a path after changing letters in at most k cells of the matrix. A string a is lexicographically smaller than a string b, if the first different letter in a and b is smaller in a. Input The first line contains two integers n and k (1 ≤ n ≤ 2000, 0 ≤ k ≤ n^2) — the size of the matrix and the number of letters you can change. Each of the next n lines contains a string of n lowercase English letters denoting one row of the matrix. Output Output the lexicographically smallest string that can be associated with some valid path after changing no more than k letters in the matrix. Examples Input 4 2 abcd bcde bcad bcde Output aaabcde Input 5 3 bwwwz hrhdh sepsp sqfaf ajbvw Output aaaepfafw Input 7 6 ypnxnnp pnxonpm nxanpou xnnpmud nhtdudu npmuduh pmutsnz Output aaaaaaadudsnz Note In the first sample test case it is possible to change letters 'b' in cells (2, 1) and (3, 1) to 'a', then the minimum path contains cells (1, 1), (2, 1), (3, 1), (4, 1), (4, 2), (4, 3), (4, 4). The first coordinate corresponds to the row and the second coordinate corresponds to the column. Tags: greedy Correct Solution: ``` def solve(m, matrix, good, n): c = 'z' for x in range(n): y = m - x if y < 0 or y >= n: continue if not good[x][y]: continue if x < n - 1: c = min(c, matrix[x + 1][y]) if y < n - 1: c = min(c, matrix[x][y + 1]) for x in range(n): y = m - x if y < 0 or y >= n: continue if not good[x][y]: continue if x < n - 1 and matrix[x + 1][y] == c: good[x+1][y] = 1 if y < n - 1 and matrix[x][y + 1] == c: good[x][y + 1] = 1 return c def main(): n, k = map(int, input().split()) matrix = [] for i in range(n): s = list(input()) matrix.append(s) dp = [[0 for i in range(n)] for j in range(n)] good = [[0 for i in range(n)] for j in range(n)] dp[0][0] = 0 if matrix[0][0] == 'a' else 1 for i in range(1, n): dp[0][i] = dp[0][i - 1] if matrix[0][i] != 'a': dp[0][i] += 1 dp[i][0] = dp[i - 1][0] if matrix[i][0] != 'a': dp[i][0] += 1 for i in range(1, n): for j in range(1, n): dp[i][j] = min(dp[i-1][j], dp[i][j-1]) if matrix[i][j] != 'a': dp[i][j] += 1 m = -1 for i in range(n): for j in range(n): if dp[i][j] <= k: m = max(m, i + j) if m == -1: print(matrix[0][0], end = '') m = 0 good[0][0] = 1 else: for i in range(m + 1): print('a', end = '') for i in range(n): y = m - i if y < 0 or y >= n: continue if dp[i][y] <= k: good[i][y] = 1 while m < 2*n - 2: res = solve(m, matrix, good, n) print(res, end = '') m += 1 if __name__=="__main__": main() ```
7,581
[ 0.1763916015625, 0.16162109375, 0.384521484375, 0.224609375, -0.68896484375, -0.62744140625, 0.1859130859375, -0.26611328125, -0.109130859375, 0.78857421875, 0.986328125, 0.1981201171875, -0.34619140625, -0.7763671875, -0.60888671875, 0.2481689453125, -0.35693359375, -0.6025390625, -0.321533203125, 0.0231781005859375, -0.01226806640625, 0.09259033203125, -1.123046875, -0.2408447265625, -0.278076171875, 1.228515625, 0.53955078125, -0.09710693359375, 0.744140625, 0.7236328125, -0.408935546875, -0.08538818359375, 0.69775390625, -0.79541015625, -0.505859375, -0.45849609375, 0.62158203125, -0.469482421875, -0.35107421875, -0.471435546875, 0.21240234375, -0.75, 0.485107421875, -0.5673828125, -0.98291015625, 0.07855224609375, -0.2415771484375, -0.0804443359375, -0.2313232421875, -0.62939453125, 0.04010009765625, -0.118896484375, 0.2349853515625, -0.54150390625, -0.296630859375, -0.04180908203125, 0.055511474609375, -0.1485595703125, -0.65478515625, 0.537109375, 0.035888671875, 0.1429443359375, 0.05517578125, -0.2396240234375, -0.0282135009765625, 0.31005859375, -0.09619140625, -0.143310546875, 0.0173492431640625, -0.8251953125, -0.2919921875, -0.186767578125, -0.2425537109375, -0.35791015625, 0.1177978515625, 0.312255859375, 0.3798828125, -0.34033203125, -0.64501953125, 0.642578125, 0.23095703125, 0.92919921875, 0.316650390625, 0.1551513671875, -0.263427734375, -0.333740234375, 0.05078125, 0.60107421875, 0.14013671875, -0.0030307769775390625, 0.201171875, 0.39111328125, -0.463134765625, -0.021942138671875, 0.630859375, 0.74560546875, -0.37841796875, 0.5849609375, 0.369140625, 0.1502685546875, 0.36865234375, 1.06640625, -0.43603515625, 1.01953125, -0.7958984375, 0.37451171875, 0.51513671875, -0.2213134765625, -0.28564453125, -0.37158203125, -0.1790771484375, -0.391845703125, 0.40673828125, 0.46875, -0.2421875, 0.90771484375, 0.1439208984375, 0.178955078125, -0.71142578125, 0.268310546875, 0.72021484375, -0.00266265869140625, 0.64501953125, -0.300537109375, -0.052032470703125, -0.23583984375, -0.56982421875, 0.83203125, -0.650390625, -0.0384521484375, 0.267578125, -0.09979248046875, -0.092041015625, 0.299560546875, -0.320068359375, 0.62890625, -0.130615234375, 0.392578125, 0.9755859375, -0.3603515625, 0.41064453125, -0.30126953125, -0.1365966796875, 1.22265625, 0.46630859375, 0.25439453125, 0.51416015625, 0.24755859375, -1.0771484375, 0.31982421875, -0.625, 0.666015625, 0.07550048828125, -0.01390838623046875, -0.131103515625, 0.2320556640625, -0.291015625, 0.66162109375, 0.230712890625, -0.0025463104248046875, -0.438232421875, -0.25, -0.2147216796875, 0.82958984375, -0.50732421875, 0.7890625, -0.71923828125, -0.28369140625, -0.209228515625, -0.37841796875, 0.032684326171875, -0.388671875, -0.08038330078125, 0.6708984375, 0.3388671875, 0.8310546875, 0.68701171875, 0.007320404052734375, 0.072998046875, 0.0728759765625, -0.44482421875, 0.2056884765625, 0.486328125, 0.23388671875, -0.0158233642578125, 0.2413330078125, -0.01416778564453125, -0.3681640625, -0.93603515625, -0.7060546875, -0.007160186767578125, 0.67333984375, -0.64111328125, 0.424560546875, 0.041473388671875, 0.216064453125, -0.8369140625, -0.1202392578125, -0.09942626953125, -0.72900390625, -0.29296875, 0.379638671875, -0.27685546875, 0.29248046875, -0.62646484375, -0.293701171875, 0.336669921875, 1.052734375, 0.0306396484375, 0.069091796875, 0.1949462890625, -0.048736572265625, -0.238037109375, 0.4619140625, 0.26123046875, -0.14111328125, -0.325927734375, 0.75341796875, -0.3388671875, -0.014373779296875, 0.1884765625, 0.331787109375, 0.62548828125, 0.732421875, -0.1785888671875, 0.2261962890625, 0.478515625, 0.8125, 0.130615234375, 0.53076171875, 0.2137451171875, 0.8994140625, 0.490478515625, 0.890625, 0.75048828125, 0.439208984375, 0.5029296875, 0.884765625, -0.136962890625, -0.05059814453125, 0.2568359375, 0.68359375, 0.273681640625, 0.49560546875, 0.5712890625, 0.75390625, -0.0123443603515625, 0.1385498046875, -0.302978515625, 0.169189453125, -0.40087890625, 0.88330078125, 0.2744140625, 0.037261962890625, -0.45458984375, -0.300537109375, 0.0289764404296875, 0.435302734375, -0.697265625, -0.439697265625, -0.321044921875, -0.0275726318359375, 0.11968994140625, 0.0938720703125, 0.50390625, 0.5888671875, 0.460205078125, 0.268310546875, -0.28271484375, -0.1573486328125, -1.0087890625, -0.68505859375, -0.859375, -0.37451171875, -1.1357421875, 0.05230712890625, 0.392333984375, -0.97802734375, 0.281982421875, -0.1854248046875, -0.349853515625, -0.37890625, -0.62744140625, 0.59521484375, -0.0335693359375, 0.921875, -0.51904296875, 0.60595703125, 0.0523681640625, 0.82568359375, -0.60498046875, -0.291015625, -0.11944580078125, -0.4541015625, 0.20849609375, 0.056549072265625, 0.177001953125, -0.3837890625, -0.70068359375, -0.9306640625, -0.5537109375, 0.04400634765625, -0.278076171875, 0.236328125, -0.61279296875, 1.0595703125, 0.26806640625, -0.52880859375, 0.76025390625, 0.85205078125, -0.60791015625, 0.404541015625, 0.23681640625, 0.1356201171875, -0.67919921875, 1.3896484375, 0.56982421875, 0.131591796875, -0.58154296875, -0.44677734375, -0.2958984375, 0.6044921875, 0.37353515625, -0.52197265625, -0.0386962890625, 0.572265625, 0.0416259765625, -1.2021484375, 0.488037109375, -0.748046875, -0.95849609375, -0.2744140625, 0.0131072998046875, 1.009765625, 0.68359375, 0.1444091796875, 0.1541748046875, -0.23291015625, -0.1697998046875, 0.59765625, 0.6005859375, -0.4990234375, -0.09259033203125, 0.264404296875, -0.0679931640625, -0.1444091796875, 0.3115234375, -0.0958251953125, -0.1319580078125, 0.1728515625, 0.26220703125, 0.7958984375, 0.186767578125, 0.068359375, 0.2347412109375, 0.385009765625, -0.49072265625, -0.303955078125, -0.45947265625, 0.309814453125, 0.35888671875, 0.42724609375, 0.1865234375, -0.06903076171875, -0.348388671875, -1.4130859375, 0.46044921875, -0.0799560546875, 0.71484375, -0.6767578125, 1.0908203125, 0.30859375, -0.541015625, 0.314208984375, -0.2017822265625, 0.208984375, 0.92822265625, -0.376220703125, 0.71533203125, -0.755859375, 0.07086181640625, -0.1417236328125, -0.14208984375, 0.75439453125, 0.422119140625, 0.54541015625, -0.431396484375, -0.51123046875, -0.499755859375, 0.00812530517578125, -0.221435546875, -0.53955078125, 0.20947265625, -0.2861328125, -0.17236328125, -0.7578125, 0.53662109375, 1.0498046875, 0.350341796875, 0.058380126953125, 0.71875, 0.404052734375, 0.368408203125, 0.458251953125, -0.30908203125, 0.03271484375, -0.6953125, 1.2626953125, 0.045562744140625, -0.10931396484375, -0.69873046875, -0.26416015625, -0.077392578125, -0.0933837890625, -0.1572265625, -0.34765625, -1.154296875, 0.1351318359375, 0.13818359375, 0.4521484375, -0.6708984375, -0.2203369140625, -0.2646484375, 0.2222900390625, 0.63232421875, -0.90625, 0.261474609375, -0.69970703125, 0.42529296875, 0.5078125, -0.269287109375, -0.4521484375, -0.62109375, -0.62939453125, -0.464111328125, 0.1114501953125, 0.68994140625, -0.1502685546875, -0.28662109375, -0.86083984375, 0.5361328125, 0.058074951171875, -0.3779296875, 0.08917236328125, -0.028839111328125, 0.6787109375, -0.0782470703125, 0.583984375, -0.313232421875, -0.705078125, 0.42333984375, -1.029296875, 0.63427734375, -0.64501953125, 0.85791015625, 0.0125885009765625, -0.0921630859375, -0.091796875, 0.556640625, -0.2357177734375, 0.2144775390625, -0.59326171875, 0.096435546875, -0.8896484375, -0.394775390625, 0.33251953125, -0.08782958984375, -0.218017578125, 1.0048828125, 0.10943603515625, -0.402099609375, 0.54541015625, 0.5654296875, -0.544921875, 0.53857421875, -0.55322265625, 0.4794921875, -0.52099609375, -0.445068359375, -0.2734375, -0.453857421875, 0.4892578125, -0.338623046875, -0.418701171875, -0.324462890625, -0.8779296875, -0.265869140625, 0.08258056640625, -0.55908203125, 0.43896484375, 0.0848388671875, -0.194091796875, 0.106689453125, -0.11328125, -0.62158203125, 0.0287017822265625, -0.395751953125, -0.35009765625, -0.053558349609375, 0.58544921875, 0.51513671875, 0.202880859375, -0.49560546875, 0.01316070556640625, -0.07763671875, 0.2369384765625, -0.52783203125, 0.01482391357421875, -0.1571044921875, -0.1929931640625, -0.56005859375, -0.06353759765625, 0.2763671875, 0.390380859375, 0.59765625, 0.439208984375, 0.1680908203125, 0.212646484375, -0.08056640625, 0.76904296875, -0.1119384765625, -0.73974609375, -0.430419921875, 0.468505859375, 0.11181640625, 0.70947265625, 0.239990234375, -0.865234375, -0.70556640625, -0.9130859375, 0.2215576171875, -0.319580078125, -0.345947265625, -0.69921875, -0.654296875, -0.44189453125, 0.52197265625, 0.22509765625, -0.70263671875, 0.218505859375, -0.90625, -0.0042572021484375, -0.62646484375, -0.40478515625, -0.669921875, -0.286376953125, 0.0579833984375, 0.90869140625, 0.2435302734375, 0.300537109375, 0.0682373046875, -0.051483154296875, 0.22509765625, 0.11492919921875, -0.319091796875, -0.5634765625, -0.0692138671875, 0.446533203125, 0.03375244140625, -0.245361328125, -0.60791015625, 0.38818359375, -0.59375, 0.1025390625, -0.184814453125, -0.2919921875, -0.300537109375, -0.587890625, 1.232421875, -0.2200927734375, -0.20751953125, -0.1046142578125, 0.2423095703125, 0.5869140625, -0.476318359375, -0.286865234375, -0.80517578125, -0.84375, -1.326171875, 0.59765625, -0.265380859375, 0.0286712646484375, -0.732421875, -0.475341796875, 1.380859375, -0.360107421875, 0.37890625, 1.05859375, -0.082275390625, 0.386962890625, -0.5234375, 0.416015625, 0.380126953125, -0.580078125, 0.33544921875, 0.1636962890625, -0.625, 0.054901123046875, -0.2237548828125, -0.9697265625, -0.79541015625, 0.75244140625, 1.34765625, -0.265869140625, 0.68701171875, 0.029449462890625, -1.01171875, -0.354248046875, 0.78515625, -0.262451171875, 0.243408203125, 0.5, -0.290283203125, 0.0026988983154296875, -0.24951171875, -0.3623046875, -0.5546875, -0.37255859375, 1.150390625, -0.398193359375, -0.2247314453125, 0.58251953125, 0.794921875, -1.0107421875, -0.7802734375, -0.4052734375, 0.1993408203125, -0.03436279296875, -0.9150390625, 0.0867919921875, 0.671875, -0.470458984375, -0.07952880859375, 0.349365234375, -0.1253662109375, 0.46435546875, 0.269287109375, 0.36083984375, -0.30322265625, 0.630859375, 0.4931640625, -0.51171875, -0.156982421875, -0.642578125, 0.00963592529296875, -0.234375, 0.0299530029296875, 0.6318359375, -0.5146484375, -0.147705078125, 0.386474609375, 0.048004150390625, 0.72705078125, -0.169677734375, -0.2392578125, 0.35791015625, -0.48779296875, -0.349609375, 0.23486328125, 0.5322265625, -0.08441162109375, 0.3486328125, -0.869140625, 0.195068359375, -0.01275634765625, 0.266357421875, -0.37451171875, -0.82568359375, -0.2841796875, -1.3798828125, -0.68115234375, -0.62890625, -0.86083984375, -0.0855712890625, 0.44921875, -0.050018310546875, -0.5078125, 0.12371826171875, 0.6884765625, -0.57958984375, 0.630859375, -0.488525390625, 0.157958984375, -0.5205078125, -0.1297607421875, -0.5185546875, -0.046661376953125, -0.611328125, 0.14892578125, -0.5537109375, 0.34912109375, -0.19677734375, 0.233642578125, -0.1292724609375, 0.38720703125, -0.196533203125, -0.384521484375, -0.066162109375, 0.3349609375, -0.268310546875, 0.52734375, 0.52978515625, 0.0226593017578125, 0.039764404296875, 0.11920166015625, -0.305419921875, -0.587890625, 0.6259765625, 0.349365234375, -0.314697265625, -0.15478515625, -0.055694580078125, 0.2476806640625, -0.81787109375, 0.108154296875, -0.06109619140625, 0.2330322265625, -0.00865936279296875, -0.268798828125, 0.418212890625, 1.0986328125, -0.2269287109375, 0.294677734375, -0.2890625, 0.138916015625, 0.28369140625, -0.1925048828125, -0.03790283203125, 0.658203125, 0.1605224609375, -0.39013671875, -0.473876953125, 0.7197265625, 0.0090484619140625, 0.2103271484375, -0.28662109375, -0.50244140625, -0.7109375, -0.119140625, -0.028839111328125, 0.61474609375, 0.3935546875, -0.66162109375, -0.442626953125, -0.255615234375, -0.5, 0.288330078125, -1.263671875, -0.91650390625, 0.0330810546875, 0.08526611328125, -0.50537109375, -0.021270751953125, -0.352783203125, -0.302001953125, -0.230712890625, 0.6923828125, -0.59912109375, 0.4013671875, 0.0064849853515625, 0.61376953125, -0.22265625, -0.0022296905517578125, 0.50732421875, 0.492431640625, -0.65478515625, -0.5888671875, 0.05987548828125, 0.94189453125, 0.224853515625, -0.187744140625, -0.308349609375, 0.1373291015625, 0.2529296875, -0.1922607421875, -0.1539306640625, 0.0972900390625, 0.002689361572265625, 0.58642578125, -0.87158203125, -0.53857421875, -0.08734130859375, 0.54541015625, -0.250244140625, 0.06964111328125, -0.316650390625, 0.837890625, 1.056640625, 0.0654296875, 0.453369140625, 0.1827392578125, 0.52392578125, -0.1932373046875, 0.0711669921875, -0.3134765625, 0.65087890625, 0.673828125, 0.304443359375, 0.08880615234375, 0.7490234375, 0.70458984375, 0.286865234375, -0.3466796875, 0.73828125, 0.1964111328125, -0.15771484375, -0.07562255859375, -0.05059814453125, -0.234130859375, 0.05712890625, -0.78515625, 0.24365234375, -0.26416015625, -0.0343017578125, -0.0784912109375, -0.48095703125, 1.267578125, -0.313720703125, -0.27587890625, 0.11932373046875, -0.5634765625, 0.287109375, 0.5302734375, 0.1995849609375, 0.45458984375, 0.59912109375, 0.296875, 0.325927734375, 0.681640625, 0.468017578125, 0.18212890625, -0.74462890625, -0.1378173828125, -0.08099365234375, -0.319091796875, -0.64306640625, -0.258056640625, -0.85693359375, 0.5068359375, -0.23779296875, -0.32080078125, 0.79248046875, -0.90185546875, 0.08990478515625, -0.431396484375, 0.56982421875, -0.35888671875, 0.10882568359375, 0.06549072265625, -0.276611328125, -1.1328125, 0.91943359375, -0.2371826171875, 0.473876953125, 0.06976318359375, 0.8935546875, 0.262939453125, 1.259765625, 0.455078125, -0.10980224609375, 0.01328277587890625, 0.11346435546875, -0.3828125, -0.5126953125, -0.26416015625, -0.44091796875, 0.050994873046875, -0.65380859375, -0.471435546875, -0.1370849609375, 0.53369140625, -0.0657958984375, -0.9619140625, -0.5986328125, 0.435546875, -0.7236328125, 0.285400390625, 0.300048828125, 0.060516357421875, 0.2440185546875, -0.07415771484375, -0.361328125, -0.31298828125, 0.2384033203125, -0.44287109375, 0.14208984375, -0.62890625, 0.051727294921875, -0.63623046875, -0.4091796875, -0.441650390625, 0.062164306640625, -0.2724609375, -0.69873046875, 0.58984375, 0.157470703125, 0.1370849609375, 0.431884765625, -0.318603515625, 0.07415771484375, 0.9267578125, 0.7900390625, -0.08551025390625, 0.4990234375, 0.1768798828125, 0.019775390625, 0.1629638671875, 0.1016845703125, 0.194580078125, -0.28515625, 0.358154296875, -0.54736328125, 0.10955810546875, -0.4599609375, -1.314453125, -0.0164794921875, 0.18017578125, 0.49072265625, -0.78515625, -1.00390625, -0.37890625, -0.9345703125, 0.0171051025390625, -0.40966796875, 0.7626953125, -0.1427001953125, 0.06915283203125, -0.0628662109375, -0.9873046875, 4.6796875, 1.076171875, 0.77197265625, 0.47998046875, 0.3359375, 0.93603515625, 0.06488037109375, -0.68359375, -0.39306640625, -0.1971435546875, 0.3369140625, 0.006252288818359375, -0.09918212890625, 0.66455078125, 0.43359375, 0.57275390625, -0.51708984375, 0.0689697265625, -0.38134765625, -1.111328125, -1.025390625, 0.41357421875, -0.315185546875, 0.11468505859375, -0.0262298583984375, 0.3798828125, 0.65234375, -1.0673828125, -0.3330078125, -0.55224609375, 0.36279296875, -0.5205078125, 0.81201171875, 0.0157928466796875, -0.218994140625, 0.48779296875, -0.2783203125, -0.485595703125, -0.29931640625, 0.51611328125, 0.0643310546875, 0.1663818359375, 0.57080078125, -0.50390625, 0.1923828125, 0.2110595703125, -0.2744140625, 0.327880859375, 0.049285888671875, -0.9111328125, 0.9404296875, -0.298828125, 0.2457275390625, -0.417236328125, -0.90283203125, -0.02337646484375, 0.47119140625, 0.166748046875, -0.1490478515625, 0.317138671875, 0.454345703125, 0.2349853515625, 0.1575927734375, 0.56689453125, -0.71630859375, 0.9912109375, -0.0968017578125, 0.3681640625, -0.5859375, -0.193603515625, -0.5791015625, -0.51708984375, -0.5361328125, -0.11480712890625, 0.58837890625, -0.156005859375, 0.031585693359375, 0.15625, 0.38427734375, -0.515625, 0.390380859375, -0.1251220703125, -0.356201171875, -0.3359375, 0.3486328125, 1.1181640625, -0.50537109375, -0.72412109375, -0.273681640625, 0.307861328125, 0.10223388671875, 0.363525390625, -0.054107666015625, -0.7568359375, -0.1029052734375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Tags: constructive algorithms, hashing, strings Correct Solution: ``` s = input() n = len(s) // 2 k = len(s) allsame = True for i in range(n): if s[i] != s[0]: allsame = False if allsame: print("Impossible") else: ans = False for i in range(1, n + 1): str = s[i:] + s[:i] if str[:n] == ''.join(reversed(str[k - n:])) and str != s: print(1) ans = True break if not ans: print(2) ```
7,598
[ 0.0845947265625, -0.4052734375, -0.171630859375, -0.29541015625, -0.5087890625, -0.57666015625, 0.1383056640625, -0.236083984375, -0.08819580078125, 0.64453125, 0.96728515625, -0.37255859375, 0.2978515625, -0.77685546875, -0.75146484375, 0.22802734375, -0.94677734375, -0.810546875, -0.50146484375, -0.40283203125, 0.2039794921875, -0.0380859375, -1.455078125, -0.12261962890625, -0.04638671875, 0.7177734375, 0.64404296875, 0.2353515625, 0.94580078125, 0.9267578125, 0.055145263671875, 0.006282806396484375, 0.736328125, -0.8173828125, -0.10687255859375, -0.12939453125, 0.19873046875, -0.5732421875, -0.4384765625, -0.452880859375, 0.2105712890625, -0.447265625, 0.6376953125, -0.77734375, -1.1298828125, 0.446533203125, -0.60986328125, -0.52392578125, -0.6572265625, -1.11328125, -0.071533203125, -0.291015625, 0.1746826171875, 0.04669189453125, 0.306640625, -0.1171875, 0.2174072265625, 0.228271484375, -0.50634765625, 0.412841796875, 0.2283935546875, 0.028594970703125, -0.417236328125, -0.71484375, -0.402587890625, -0.06793212890625, -0.197021484375, 0.0011529922485351562, 0.477783203125, -1.041015625, -0.1334228515625, 0.51611328125, -0.2230224609375, -0.69140625, -0.5400390625, 0.10430908203125, 0.0986328125, 0.1385498046875, -0.476318359375, 0.8642578125, 0.0986328125, 1.0966796875, -0.045440673828125, 0.2412109375, -0.3271484375, -0.65283203125, 0.1710205078125, 0.26025390625, 0.07861328125, -0.1414794921875, -0.196533203125, 0.70654296875, -0.162353515625, 0.08843994140625, 0.353271484375, 0.6669921875, -0.09832763671875, 0.58349609375, 0.0228118896484375, 0.23779296875, 0.75927734375, 0.94189453125, -0.349853515625, 0.5625, -0.39599609375, -0.1297607421875, 0.0179290771484375, 0.1278076171875, 0.1810302734375, -0.334716796875, 0.150390625, -0.385498046875, 0.57568359375, 0.2822265625, 0.261474609375, 0.386474609375, -0.05682373046875, 0.40283203125, -0.89111328125, 0.359130859375, 0.376953125, 0.1832275390625, 0.25732421875, -0.2705078125, 0.1741943359375, -0.09716796875, -0.318359375, 1.0830078125, -0.65966796875, 0.064208984375, 0.595703125, 0.0055084228515625, -0.043853759765625, 0.1854248046875, -0.08026123046875, 0.6396484375, 0.04547119140625, 0.515625, 0.38134765625, -0.74267578125, 0.63818359375, -0.06573486328125, -0.1405029296875, 1.50390625, 0.42138671875, -0.061920166015625, 0.92041015625, 0.262451171875, -0.953125, 0.64453125, -0.740234375, 0.6171875, 0.391845703125, 0.017242431640625, -0.1875, 0.2137451171875, -0.06573486328125, 0.448486328125, -0.01139068603515625, 0.145751953125, -0.08587646484375, 0.495849609375, -0.1810302734375, 0.8466796875, -0.0063323974609375, 0.88818359375, -0.52783203125, -0.62353515625, -0.1832275390625, -0.5029296875, 0.145751953125, 0.1307373046875, -0.11822509765625, 0.9560546875, 0.64794921875, 0.865234375, 0.884765625, -0.31884765625, 0.35791015625, 0.427734375, -0.32080078125, 0.62353515625, 0.31396484375, 0.640625, -0.06182861328125, 0.295654296875, -0.1759033203125, -0.2144775390625, -0.371826171875, -0.23876953125, 0.117919921875, 0.556640625, -0.28515625, 0.1998291015625, 0.327880859375, 0.11773681640625, -1.0126953125, -0.33544921875, 0.2481689453125, -1.162109375, -0.1802978515625, 0.91650390625, -0.2413330078125, 0.57373046875, -0.342041015625, -0.39208984375, 0.75048828125, 1.3349609375, -0.255126953125, -0.029571533203125, 0.261962890625, 0.0234527587890625, -0.12213134765625, 0.09381103515625, -0.1231689453125, -0.1683349609375, -0.751953125, 0.83349609375, -0.269287109375, -0.1351318359375, -0.197509765625, 1.0205078125, 0.174560546875, 0.5244140625, -0.69873046875, -0.3291015625, 0.4990234375, 1.328125, 0.0140380859375, -0.11126708984375, 0.13720703125, 0.6435546875, 0.407958984375, 0.63916015625, 0.42333984375, 0.03302001953125, 0.5595703125, 0.63330078125, -0.07757568359375, -0.05670166015625, 0.18212890625, 0.281005859375, 0.736328125, 0.380615234375, 0.40869140625, 0.650390625, -0.28125, -0.0946044921875, -0.248779296875, 0.314697265625, -0.202392578125, 0.755859375, 0.51513671875, 0.1165771484375, -0.56103515625, -0.10321044921875, 0.427734375, 0.63623046875, -0.62353515625, -0.921875, -0.0037975311279296875, 0.08428955078125, 0.52783203125, -0.125, 0.303466796875, 0.2061767578125, 0.374755859375, 0.6875, 0.03985595703125, -0.701171875, -0.859375, -1.1337890625, -0.68212890625, -0.395263671875, -0.5498046875, -0.1741943359375, 0.494384765625, -1.078125, 0.11767578125, 0.1033935546875, -0.101318359375, -0.046722412109375, -0.66259765625, 0.492919921875, -0.17578125, 0.83837890625, -0.261962890625, 0.99658203125, -0.0258331298828125, 1.0869140625, -0.302001953125, -0.1944580078125, -0.142822265625, -0.47314453125, 0.322998046875, 0.11383056640625, 0.5576171875, -0.2113037109375, -0.60986328125, -1.134765625, -0.272705078125, -0.19287109375, -0.357421875, 0.23876953125, -0.56787109375, 0.73681640625, 0.6484375, -0.5107421875, 0.437744140625, 0.84765625, -0.68212890625, 0.36083984375, 0.00461578369140625, -0.251953125, -0.75146484375, 1.2646484375, 0.293212890625, 0.346435546875, -0.47998046875, -1.0283203125, -0.412841796875, 0.0283355712890625, 0.2032470703125, -0.6181640625, -0.26513671875, 0.60693359375, 0.1400146484375, -0.85107421875, 0.69384765625, -1.0380859375, -0.7607421875, -0.1571044921875, -0.87890625, 0.68359375, 0.96240234375, -0.1409912109375, -0.10504150390625, -0.472412109375, -0.00879669189453125, 0.8046875, 0.281494140625, -0.446044921875, -0.1851806640625, 0.36083984375, -0.041351318359375, 0.143310546875, 0.238037109375, -0.443603515625, -0.270263671875, -0.041748046875, 0.2293701171875, 0.495849609375, 0.28857421875, 0.71435546875, 0.303955078125, 0.85986328125, -0.81640625, -0.4638671875, 0.04150390625, 0.5830078125, 0.03826904296875, 0.51904296875, -0.00963592529296875, -0.46533203125, -0.90185546875, -1.1416015625, 0.113037109375, 0.42626953125, 0.73974609375, -0.430908203125, 0.86669921875, -0.040374755859375, -0.5419921875, 0.48193359375, -0.88525390625, -0.0006470680236816406, 1.0078125, -0.472900390625, 0.86279296875, -0.515625, 0.53564453125, -0.007701873779296875, 0.2484130859375, 0.078857421875, 0.1534423828125, 0.430419921875, -0.250732421875, -0.845703125, -0.25, 0.053314208984375, -0.070068359375, -0.28271484375, 0.4248046875, -0.6025390625, -0.537109375, -0.59326171875, 0.70751953125, 0.513671875, 0.478759765625, -0.037078857421875, 0.505859375, 0.468505859375, 0.630859375, 0.483642578125, -0.2471923828125, 0.049072265625, -0.6513671875, 1.32421875, 0.1810302734375, -0.34228515625, -0.1341552734375, -0.06072998046875, -0.427490234375, -0.085693359375, 0.1829833984375, -0.0202484130859375, -1.0810546875, 0.2154541015625, 0.031524658203125, 1.0283203125, -0.3369140625, -0.307373046875, -0.17333984375, 0.259765625, 0.17724609375, -0.865234375, -0.06378173828125, -0.6875, 0.69140625, 0.29052734375, -0.17138671875, -0.415283203125, -0.4736328125, -0.85546875, -0.57568359375, 0.0199127197265625, 0.73486328125, 0.11767578125, 0.20849609375, -1.2880859375, 0.724609375, 0.2164306640625, -0.325439453125, 0.1845703125, -0.1466064453125, 0.5771484375, -0.39697265625, 0.62451171875, -0.2274169921875, -0.75, 0.118408203125, -1.25, 0.461181640625, -0.148681640625, 0.384521484375, -0.1070556640625, -0.5966796875, 0.125244140625, 0.279296875, -0.327392578125, 0.310791015625, -0.2161865234375, 0.472412109375, -0.859375, -0.63232421875, 0.26318359375, -0.414794921875, -0.224365234375, 0.6767578125, 0.255126953125, -0.168212890625, 0.0462646484375, 0.381103515625, -0.1529541015625, 0.339599609375, -0.66259765625, 0.6337890625, -0.288330078125, -0.51025390625, 0.0345458984375, -0.458251953125, 0.7392578125, -0.141845703125, -0.734375, -0.343994140625, -1.2724609375, -0.188232421875, -0.2235107421875, -0.2205810546875, 0.27392578125, 0.134765625, -0.48681640625, -0.0310821533203125, -0.4755859375, -0.037445068359375, -0.452880859375, -0.62158203125, -0.6494140625, 0.38134765625, 0.53857421875, 0.5634765625, 0.076904296875, -0.348876953125, -0.06646728515625, 0.048828125, 0.1292724609375, -0.354736328125, -0.317626953125, -0.286376953125, -0.427490234375, -0.0560302734375, 0.08349609375, 0.152099609375, 0.46923828125, 0.67578125, 0.07037353515625, 0.65625, 0.53955078125, -0.45703125, 0.92333984375, 0.1922607421875, -1.2490234375, -0.58935546875, 0.6376953125, -0.01433563232421875, 0.5341796875, -0.0556640625, -0.87646484375, -0.87890625, -0.64013671875, 0.23291015625, -0.919921875, -0.480712890625, -0.90771484375, -0.10601806640625, -0.295654296875, 0.6123046875, -0.35791015625, -0.74560546875, 0.2568359375, -0.87744140625, 0.52880859375, -0.693359375, -0.349853515625, -0.869140625, -0.368896484375, -0.2174072265625, 1.03125, 0.10992431640625, 0.328857421875, 0.0438232421875, -0.392822265625, 0.042938232421875, -0.294677734375, -0.67529296875, -0.35693359375, 0.011993408203125, 0.0159454345703125, -0.11334228515625, -0.367431640625, -0.5126953125, 0.76806640625, -0.86865234375, 0.2763671875, -0.470458984375, -0.296142578125, -0.03009033203125, -0.2115478515625, 0.89013671875, -0.39453125, 0.222900390625, -0.11004638671875, 0.498291015625, 1.0244140625, -0.28857421875, -0.332275390625, -0.76123046875, -0.7041015625, -0.90283203125, 0.6142578125, -0.65966796875, 0.1051025390625, -1, -0.315185546875, 0.8857421875, -0.47705078125, 0.25341796875, 0.833984375, 0.08599853515625, 0.1732177734375, -0.724609375, 0.6328125, 0.455078125, -0.380126953125, -0.20166015625, 0.049346923828125, -0.29150390625, 0.292236328125, 0.100341796875, -1.0244140625, -0.8818359375, 0.5498046875, 0.98828125, -0.53076171875, 0.8310546875, 0.214599609375, -1.0517578125, -0.533203125, 0.7216796875, 0.00800323486328125, 0.1263427734375, 0.962890625, -0.20361328125, -0.1934814453125, 0.2391357421875, -0.08758544921875, -0.332763671875, -0.437255859375, 0.84912109375, -0.5126953125, -0.387939453125, 0.8828125, 0.87158203125, -1.1435546875, -0.88330078125, -0.448974609375, 0.02691650390625, -0.093505859375, -0.76953125, -0.10235595703125, 0.485107421875, -0.6943359375, 0.07470703125, 0.515625, -0.065185546875, 0.44384765625, 0.189453125, 0.2410888671875, -0.42138671875, 0.5732421875, 0.62890625, -0.363525390625, -0.61376953125, -0.95849609375, -0.339599609375, -0.62451171875, 0.1435546875, 0.54931640625, -0.23291015625, 0.341552734375, 0.409912109375, 0.28857421875, 0.63818359375, -0.490966796875, -0.384521484375, 0.40283203125, -0.87109375, -0.274169921875, -0.2734375, 0.414306640625, -0.1744384765625, 0.337646484375, -0.47216796875, 0.0343017578125, 0.27587890625, 0.58740234375, -0.142578125, -0.77392578125, -0.02813720703125, -1.0224609375, -0.61083984375, -0.60546875, -0.609375, 0.02374267578125, 0.1326904296875, -0.607421875, -0.75732421875, 0.06884765625, 0.35546875, -0.7197265625, 1.0380859375, -0.32177734375, 0.269775390625, -0.70947265625, -0.287109375, -0.60400390625, -0.5107421875, -0.469970703125, -0.1776123046875, -0.65673828125, 0.493408203125, -0.2127685546875, 0.47509765625, -0.045806884765625, 0.2022705078125, 0.0156402587890625, -0.53955078125, -0.036346435546875, 0.12396240234375, 0.1370849609375, 0.8837890625, 0.63623046875, -0.00843048095703125, 0.41162109375, -0.25830078125, -0.693359375, -0.3505859375, 0.47509765625, 0.74365234375, -0.0228729248046875, -0.1676025390625, -0.5439453125, -0.01486968994140625, -1.2255859375, 0.496337890625, -0.458740234375, 0.46533203125, 0.39501953125, 0.09600830078125, 0.576171875, 1.224609375, -0.032073974609375, 0.302978515625, 0.42919921875, 0.427978515625, 0.34228515625, -0.06365966796875, -0.072509765625, 0.908203125, 0.0858154296875, -0.419189453125, -0.04693603515625, 0.1790771484375, 0.77685546875, 0.29345703125, -0.34814453125, -0.552734375, -0.8291015625, 0.004261016845703125, 0.234130859375, 0.309326171875, 1.0166015625, -0.59619140625, -0.1669921875, -0.63623046875, -0.68212890625, -0.077392578125, -0.9794921875, -0.78173828125, 0.288818359375, 0.049957275390625, -0.3876953125, -0.10357666015625, -0.3095703125, -0.7548828125, -0.074951171875, 0.4111328125, -0.446044921875, 0.65283203125, -0.375244140625, 0.71875, -0.193359375, 0.231689453125, 0.2333984375, 0.654296875, -0.429931640625, -0.48583984375, -0.2408447265625, 1.3369140625, 0.28662109375, 0.129638671875, -0.346435546875, 0.2388916015625, -0.2310791015625, 0.2215576171875, -0.3447265625, -0.0182342529296875, -0.15576171875, 0.87255859375, -0.814453125, 0.0015201568603515625, -0.0745849609375, 0.1551513671875, 0.1864013671875, -0.491943359375, -0.6220703125, 0.91552734375, 0.69970703125, -0.10009765625, 0.384521484375, 0.30126953125, 0.06939697265625, -0.00873565673828125, -0.172607421875, -0.279541015625, 0.285400390625, 0.53173828125, 0.525390625, -0.3447265625, 0.39208984375, 0.40771484375, -0.21923828125, -0.2196044921875, -0.020965576171875, 0.350830078125, -0.0655517578125, 0.327880859375, -0.1387939453125, -0.09765625, 0.171630859375, -0.60546875, 0.3251953125, -0.1524658203125, 0.12005615234375, -0.332275390625, -0.50634765625, 0.71337890625, -0.392333984375, -0.1607666015625, 0.0465087890625, -0.744140625, 0.492431640625, 0.86376953125, 0.09967041015625, -0.2265625, 0.91015625, 0.355224609375, 0.28564453125, 0.65673828125, 0.51904296875, 0.2032470703125, -0.56005859375, 0.304931640625, 0.25927734375, 0.1201171875, -0.4755859375, -0.5390625, -0.65771484375, 0.457275390625, -0.357421875, -0.434814453125, 0.297119140625, -0.728515625, 0.1104736328125, -0.469970703125, 0.65771484375, -0.4638671875, 0.4033203125, 0.09674072265625, -0.57470703125, -0.548828125, 0.873046875, -0.216796875, 0.55517578125, 0.0938720703125, 1.3583984375, 0.11016845703125, 1.287109375, 0.541015625, -0.2138671875, 0.09893798828125, 0.38671875, -0.283203125, -0.56591796875, -0.154296875, -0.324951171875, -0.043365478515625, -0.609375, -0.4736328125, -0.2333984375, 0.875, 0.09991455078125, -0.9111328125, -0.04998779296875, 0.1611328125, -0.87060546875, 0.51123046875, -0.040771484375, 0.388427734375, 0.1024169921875, 0.3271484375, 0.01190185546875, -1.1787109375, -0.056427001953125, -0.6650390625, 0.475341796875, -0.63916015625, -0.5537109375, -0.31494140625, -0.70751953125, -0.267578125, -0.351318359375, -0.2325439453125, -0.53857421875, 0.63818359375, 0.375, 0.330078125, 0.28076171875, -0.5615234375, 0.2193603515625, 0.8330078125, 0.96923828125, -0.0421142578125, 0.453125, 0.51171875, -0.484130859375, -0.0948486328125, -0.75830078125, 0.3818359375, -0.044769287109375, 0.29345703125, -0.55859375, 0.14453125, -0.60009765625, -1.267578125, -0.23681640625, 0.67236328125, 0.63671875, -0.619140625, -1.2451171875, -0.350341796875, -1.1455078125, -0.35400390625, -0.64697265625, 0.395751953125, -0.0343017578125, 0.59619140625, 0.371337890625, -1.1171875, 4.46484375, 0.94140625, 0.94091796875, 0.354736328125, 0.5107421875, 1.3857421875, 0.330322265625, -0.55712890625, -0.1392822265625, -0.76904296875, 0.58056640625, -0.1478271484375, 0.1478271484375, 0.99365234375, -0.1207275390625, 0.705078125, -1.0224609375, -0.2447509765625, -0.2022705078125, -1.162109375, -0.69873046875, -0.2398681640625, 0.073974609375, 0.42236328125, 0.040985107421875, 0.2379150390625, 0.3369140625, -0.87890625, -0.14892578125, -0.4375, -0.212646484375, -0.367919921875, 0.974609375, 0.262451171875, -0.30029296875, 0.509765625, -0.146484375, -0.295166015625, 0.163818359375, 0.07818603515625, 0.11456298828125, 0.06378173828125, 0.337646484375, -0.476806640625, -0.0755615234375, 0.7001953125, -0.45458984375, 0.05316162109375, -0.140869140625, -0.8115234375, 0.62744140625, -0.0208892822265625, 0.6357421875, -0.416259765625, -0.74560546875, 0.1990966796875, 0.297119140625, 0.218505859375, -0.513671875, 0.3056640625, 0.30224609375, 0.51806640625, -0.04150390625, 0.347412109375, -1.0009765625, 1.283203125, -0.028564453125, 0.251220703125, -0.71484375, 0.1148681640625, -0.281005859375, -0.2841796875, -0.392333984375, -0.1412353515625, 0.85205078125, 0.1575927734375, -0.12078857421875, 0.51708984375, 0.41796875, -0.336669921875, 0.3603515625, -0.54931640625, -0.568359375, -0.18896484375, 0.6298828125, 1.03125, -0.497802734375, -0.01045989990234375, 0.1363525390625, 0.7548828125, 0.4208984375, 0.7265625, 0.031524658203125, -0.7177734375, -0.357421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Tags: constructive algorithms, hashing, strings Correct Solution: ``` def isPalindrome( word ) : return True if word == word[::-1] else False word = input() n = len( word ) possible = False for i in range( n//2 + 1 ) : new = word[i:] + word[:i] if isPalindrome( new ) and new != word : possible = True print( 1 ) break if not possible : for i in range( 1 , n//2 if n%2 == 0 else (n+1)//2 ) : if word[:i] != word[-i:] : possible = True print( 2 ) break if not possible : print('Impossible') ```
7,599
[ 0.0845947265625, -0.4052734375, -0.171630859375, -0.29541015625, -0.5087890625, -0.57666015625, 0.1383056640625, -0.236083984375, -0.08819580078125, 0.64453125, 0.96728515625, -0.37255859375, 0.2978515625, -0.77685546875, -0.75146484375, 0.22802734375, -0.94677734375, -0.810546875, -0.50146484375, -0.40283203125, 0.2039794921875, -0.0380859375, -1.455078125, -0.12261962890625, -0.04638671875, 0.7177734375, 0.64404296875, 0.2353515625, 0.94580078125, 0.9267578125, 0.055145263671875, 0.006282806396484375, 0.736328125, -0.8173828125, -0.10687255859375, -0.12939453125, 0.19873046875, -0.5732421875, -0.4384765625, -0.452880859375, 0.2105712890625, -0.447265625, 0.6376953125, -0.77734375, -1.1298828125, 0.446533203125, -0.60986328125, -0.52392578125, -0.6572265625, -1.11328125, -0.071533203125, -0.291015625, 0.1746826171875, 0.04669189453125, 0.306640625, -0.1171875, 0.2174072265625, 0.228271484375, -0.50634765625, 0.412841796875, 0.2283935546875, 0.028594970703125, -0.417236328125, -0.71484375, -0.402587890625, -0.06793212890625, -0.197021484375, 0.0011529922485351562, 0.477783203125, -1.041015625, -0.1334228515625, 0.51611328125, -0.2230224609375, -0.69140625, -0.5400390625, 0.10430908203125, 0.0986328125, 0.1385498046875, -0.476318359375, 0.8642578125, 0.0986328125, 1.0966796875, -0.045440673828125, 0.2412109375, -0.3271484375, -0.65283203125, 0.1710205078125, 0.26025390625, 0.07861328125, -0.1414794921875, -0.196533203125, 0.70654296875, -0.162353515625, 0.08843994140625, 0.353271484375, 0.6669921875, -0.09832763671875, 0.58349609375, 0.0228118896484375, 0.23779296875, 0.75927734375, 0.94189453125, -0.349853515625, 0.5625, -0.39599609375, -0.1297607421875, 0.0179290771484375, 0.1278076171875, 0.1810302734375, -0.334716796875, 0.150390625, -0.385498046875, 0.57568359375, 0.2822265625, 0.261474609375, 0.386474609375, -0.05682373046875, 0.40283203125, -0.89111328125, 0.359130859375, 0.376953125, 0.1832275390625, 0.25732421875, -0.2705078125, 0.1741943359375, -0.09716796875, -0.318359375, 1.0830078125, -0.65966796875, 0.064208984375, 0.595703125, 0.0055084228515625, -0.043853759765625, 0.1854248046875, -0.08026123046875, 0.6396484375, 0.04547119140625, 0.515625, 0.38134765625, -0.74267578125, 0.63818359375, -0.06573486328125, -0.1405029296875, 1.50390625, 0.42138671875, -0.061920166015625, 0.92041015625, 0.262451171875, -0.953125, 0.64453125, -0.740234375, 0.6171875, 0.391845703125, 0.017242431640625, -0.1875, 0.2137451171875, -0.06573486328125, 0.448486328125, -0.01139068603515625, 0.145751953125, -0.08587646484375, 0.495849609375, -0.1810302734375, 0.8466796875, -0.0063323974609375, 0.88818359375, -0.52783203125, -0.62353515625, -0.1832275390625, -0.5029296875, 0.145751953125, 0.1307373046875, -0.11822509765625, 0.9560546875, 0.64794921875, 0.865234375, 0.884765625, -0.31884765625, 0.35791015625, 0.427734375, -0.32080078125, 0.62353515625, 0.31396484375, 0.640625, -0.06182861328125, 0.295654296875, -0.1759033203125, -0.2144775390625, -0.371826171875, -0.23876953125, 0.117919921875, 0.556640625, -0.28515625, 0.1998291015625, 0.327880859375, 0.11773681640625, -1.0126953125, -0.33544921875, 0.2481689453125, -1.162109375, -0.1802978515625, 0.91650390625, -0.2413330078125, 0.57373046875, -0.342041015625, -0.39208984375, 0.75048828125, 1.3349609375, -0.255126953125, -0.029571533203125, 0.261962890625, 0.0234527587890625, -0.12213134765625, 0.09381103515625, -0.1231689453125, -0.1683349609375, -0.751953125, 0.83349609375, -0.269287109375, -0.1351318359375, -0.197509765625, 1.0205078125, 0.174560546875, 0.5244140625, -0.69873046875, -0.3291015625, 0.4990234375, 1.328125, 0.0140380859375, -0.11126708984375, 0.13720703125, 0.6435546875, 0.407958984375, 0.63916015625, 0.42333984375, 0.03302001953125, 0.5595703125, 0.63330078125, -0.07757568359375, -0.05670166015625, 0.18212890625, 0.281005859375, 0.736328125, 0.380615234375, 0.40869140625, 0.650390625, -0.28125, -0.0946044921875, -0.248779296875, 0.314697265625, -0.202392578125, 0.755859375, 0.51513671875, 0.1165771484375, -0.56103515625, -0.10321044921875, 0.427734375, 0.63623046875, -0.62353515625, -0.921875, -0.0037975311279296875, 0.08428955078125, 0.52783203125, -0.125, 0.303466796875, 0.2061767578125, 0.374755859375, 0.6875, 0.03985595703125, -0.701171875, -0.859375, -1.1337890625, -0.68212890625, -0.395263671875, -0.5498046875, -0.1741943359375, 0.494384765625, -1.078125, 0.11767578125, 0.1033935546875, -0.101318359375, -0.046722412109375, -0.66259765625, 0.492919921875, -0.17578125, 0.83837890625, -0.261962890625, 0.99658203125, -0.0258331298828125, 1.0869140625, -0.302001953125, -0.1944580078125, -0.142822265625, -0.47314453125, 0.322998046875, 0.11383056640625, 0.5576171875, -0.2113037109375, -0.60986328125, -1.134765625, -0.272705078125, -0.19287109375, -0.357421875, 0.23876953125, -0.56787109375, 0.73681640625, 0.6484375, -0.5107421875, 0.437744140625, 0.84765625, -0.68212890625, 0.36083984375, 0.00461578369140625, -0.251953125, -0.75146484375, 1.2646484375, 0.293212890625, 0.346435546875, -0.47998046875, -1.0283203125, -0.412841796875, 0.0283355712890625, 0.2032470703125, -0.6181640625, -0.26513671875, 0.60693359375, 0.1400146484375, -0.85107421875, 0.69384765625, -1.0380859375, -0.7607421875, -0.1571044921875, -0.87890625, 0.68359375, 0.96240234375, -0.1409912109375, -0.10504150390625, -0.472412109375, -0.00879669189453125, 0.8046875, 0.281494140625, -0.446044921875, -0.1851806640625, 0.36083984375, -0.041351318359375, 0.143310546875, 0.238037109375, -0.443603515625, -0.270263671875, -0.041748046875, 0.2293701171875, 0.495849609375, 0.28857421875, 0.71435546875, 0.303955078125, 0.85986328125, -0.81640625, -0.4638671875, 0.04150390625, 0.5830078125, 0.03826904296875, 0.51904296875, -0.00963592529296875, -0.46533203125, -0.90185546875, -1.1416015625, 0.113037109375, 0.42626953125, 0.73974609375, -0.430908203125, 0.86669921875, -0.040374755859375, -0.5419921875, 0.48193359375, -0.88525390625, -0.0006470680236816406, 1.0078125, -0.472900390625, 0.86279296875, -0.515625, 0.53564453125, -0.007701873779296875, 0.2484130859375, 0.078857421875, 0.1534423828125, 0.430419921875, -0.250732421875, -0.845703125, -0.25, 0.053314208984375, -0.070068359375, -0.28271484375, 0.4248046875, -0.6025390625, -0.537109375, -0.59326171875, 0.70751953125, 0.513671875, 0.478759765625, -0.037078857421875, 0.505859375, 0.468505859375, 0.630859375, 0.483642578125, -0.2471923828125, 0.049072265625, -0.6513671875, 1.32421875, 0.1810302734375, -0.34228515625, -0.1341552734375, -0.06072998046875, -0.427490234375, -0.085693359375, 0.1829833984375, -0.0202484130859375, -1.0810546875, 0.2154541015625, 0.031524658203125, 1.0283203125, -0.3369140625, -0.307373046875, -0.17333984375, 0.259765625, 0.17724609375, -0.865234375, -0.06378173828125, -0.6875, 0.69140625, 0.29052734375, -0.17138671875, -0.415283203125, -0.4736328125, -0.85546875, -0.57568359375, 0.0199127197265625, 0.73486328125, 0.11767578125, 0.20849609375, -1.2880859375, 0.724609375, 0.2164306640625, -0.325439453125, 0.1845703125, -0.1466064453125, 0.5771484375, -0.39697265625, 0.62451171875, -0.2274169921875, -0.75, 0.118408203125, -1.25, 0.461181640625, -0.148681640625, 0.384521484375, -0.1070556640625, -0.5966796875, 0.125244140625, 0.279296875, -0.327392578125, 0.310791015625, -0.2161865234375, 0.472412109375, -0.859375, -0.63232421875, 0.26318359375, -0.414794921875, -0.224365234375, 0.6767578125, 0.255126953125, -0.168212890625, 0.0462646484375, 0.381103515625, -0.1529541015625, 0.339599609375, -0.66259765625, 0.6337890625, -0.288330078125, -0.51025390625, 0.0345458984375, -0.458251953125, 0.7392578125, -0.141845703125, -0.734375, -0.343994140625, -1.2724609375, -0.188232421875, -0.2235107421875, -0.2205810546875, 0.27392578125, 0.134765625, -0.48681640625, -0.0310821533203125, -0.4755859375, -0.037445068359375, -0.452880859375, -0.62158203125, -0.6494140625, 0.38134765625, 0.53857421875, 0.5634765625, 0.076904296875, -0.348876953125, -0.06646728515625, 0.048828125, 0.1292724609375, -0.354736328125, -0.317626953125, -0.286376953125, -0.427490234375, -0.0560302734375, 0.08349609375, 0.152099609375, 0.46923828125, 0.67578125, 0.07037353515625, 0.65625, 0.53955078125, -0.45703125, 0.92333984375, 0.1922607421875, -1.2490234375, -0.58935546875, 0.6376953125, -0.01433563232421875, 0.5341796875, -0.0556640625, -0.87646484375, -0.87890625, -0.64013671875, 0.23291015625, -0.919921875, -0.480712890625, -0.90771484375, -0.10601806640625, -0.295654296875, 0.6123046875, -0.35791015625, -0.74560546875, 0.2568359375, -0.87744140625, 0.52880859375, -0.693359375, -0.349853515625, -0.869140625, -0.368896484375, -0.2174072265625, 1.03125, 0.10992431640625, 0.328857421875, 0.0438232421875, -0.392822265625, 0.042938232421875, -0.294677734375, -0.67529296875, -0.35693359375, 0.011993408203125, 0.0159454345703125, -0.11334228515625, -0.367431640625, -0.5126953125, 0.76806640625, -0.86865234375, 0.2763671875, -0.470458984375, -0.296142578125, -0.03009033203125, -0.2115478515625, 0.89013671875, -0.39453125, 0.222900390625, -0.11004638671875, 0.498291015625, 1.0244140625, -0.28857421875, -0.332275390625, -0.76123046875, -0.7041015625, -0.90283203125, 0.6142578125, -0.65966796875, 0.1051025390625, -1, -0.315185546875, 0.8857421875, -0.47705078125, 0.25341796875, 0.833984375, 0.08599853515625, 0.1732177734375, -0.724609375, 0.6328125, 0.455078125, -0.380126953125, -0.20166015625, 0.049346923828125, -0.29150390625, 0.292236328125, 0.100341796875, -1.0244140625, -0.8818359375, 0.5498046875, 0.98828125, -0.53076171875, 0.8310546875, 0.214599609375, -1.0517578125, -0.533203125, 0.7216796875, 0.00800323486328125, 0.1263427734375, 0.962890625, -0.20361328125, -0.1934814453125, 0.2391357421875, -0.08758544921875, -0.332763671875, -0.437255859375, 0.84912109375, -0.5126953125, -0.387939453125, 0.8828125, 0.87158203125, -1.1435546875, -0.88330078125, -0.448974609375, 0.02691650390625, -0.093505859375, -0.76953125, -0.10235595703125, 0.485107421875, -0.6943359375, 0.07470703125, 0.515625, -0.065185546875, 0.44384765625, 0.189453125, 0.2410888671875, -0.42138671875, 0.5732421875, 0.62890625, -0.363525390625, -0.61376953125, -0.95849609375, -0.339599609375, -0.62451171875, 0.1435546875, 0.54931640625, -0.23291015625, 0.341552734375, 0.409912109375, 0.28857421875, 0.63818359375, -0.490966796875, -0.384521484375, 0.40283203125, -0.87109375, -0.274169921875, -0.2734375, 0.414306640625, -0.1744384765625, 0.337646484375, -0.47216796875, 0.0343017578125, 0.27587890625, 0.58740234375, -0.142578125, -0.77392578125, -0.02813720703125, -1.0224609375, -0.61083984375, -0.60546875, -0.609375, 0.02374267578125, 0.1326904296875, -0.607421875, -0.75732421875, 0.06884765625, 0.35546875, -0.7197265625, 1.0380859375, -0.32177734375, 0.269775390625, -0.70947265625, -0.287109375, -0.60400390625, -0.5107421875, -0.469970703125, -0.1776123046875, -0.65673828125, 0.493408203125, -0.2127685546875, 0.47509765625, -0.045806884765625, 0.2022705078125, 0.0156402587890625, -0.53955078125, -0.036346435546875, 0.12396240234375, 0.1370849609375, 0.8837890625, 0.63623046875, -0.00843048095703125, 0.41162109375, -0.25830078125, -0.693359375, -0.3505859375, 0.47509765625, 0.74365234375, -0.0228729248046875, -0.1676025390625, -0.5439453125, -0.01486968994140625, -1.2255859375, 0.496337890625, -0.458740234375, 0.46533203125, 0.39501953125, 0.09600830078125, 0.576171875, 1.224609375, -0.032073974609375, 0.302978515625, 0.42919921875, 0.427978515625, 0.34228515625, -0.06365966796875, -0.072509765625, 0.908203125, 0.0858154296875, -0.419189453125, -0.04693603515625, 0.1790771484375, 0.77685546875, 0.29345703125, -0.34814453125, -0.552734375, -0.8291015625, 0.004261016845703125, 0.234130859375, 0.309326171875, 1.0166015625, -0.59619140625, -0.1669921875, -0.63623046875, -0.68212890625, -0.077392578125, -0.9794921875, -0.78173828125, 0.288818359375, 0.049957275390625, -0.3876953125, -0.10357666015625, -0.3095703125, -0.7548828125, -0.074951171875, 0.4111328125, -0.446044921875, 0.65283203125, -0.375244140625, 0.71875, -0.193359375, 0.231689453125, 0.2333984375, 0.654296875, -0.429931640625, -0.48583984375, -0.2408447265625, 1.3369140625, 0.28662109375, 0.129638671875, -0.346435546875, 0.2388916015625, -0.2310791015625, 0.2215576171875, -0.3447265625, -0.0182342529296875, -0.15576171875, 0.87255859375, -0.814453125, 0.0015201568603515625, -0.0745849609375, 0.1551513671875, 0.1864013671875, -0.491943359375, -0.6220703125, 0.91552734375, 0.69970703125, -0.10009765625, 0.384521484375, 0.30126953125, 0.06939697265625, -0.00873565673828125, -0.172607421875, -0.279541015625, 0.285400390625, 0.53173828125, 0.525390625, -0.3447265625, 0.39208984375, 0.40771484375, -0.21923828125, -0.2196044921875, -0.020965576171875, 0.350830078125, -0.0655517578125, 0.327880859375, -0.1387939453125, -0.09765625, 0.171630859375, -0.60546875, 0.3251953125, -0.1524658203125, 0.12005615234375, -0.332275390625, -0.50634765625, 0.71337890625, -0.392333984375, -0.1607666015625, 0.0465087890625, -0.744140625, 0.492431640625, 0.86376953125, 0.09967041015625, -0.2265625, 0.91015625, 0.355224609375, 0.28564453125, 0.65673828125, 0.51904296875, 0.2032470703125, -0.56005859375, 0.304931640625, 0.25927734375, 0.1201171875, -0.4755859375, -0.5390625, -0.65771484375, 0.457275390625, -0.357421875, -0.434814453125, 0.297119140625, -0.728515625, 0.1104736328125, -0.469970703125, 0.65771484375, -0.4638671875, 0.4033203125, 0.09674072265625, -0.57470703125, -0.548828125, 0.873046875, -0.216796875, 0.55517578125, 0.0938720703125, 1.3583984375, 0.11016845703125, 1.287109375, 0.541015625, -0.2138671875, 0.09893798828125, 0.38671875, -0.283203125, -0.56591796875, -0.154296875, -0.324951171875, -0.043365478515625, -0.609375, -0.4736328125, -0.2333984375, 0.875, 0.09991455078125, -0.9111328125, -0.04998779296875, 0.1611328125, -0.87060546875, 0.51123046875, -0.040771484375, 0.388427734375, 0.1024169921875, 0.3271484375, 0.01190185546875, -1.1787109375, -0.056427001953125, -0.6650390625, 0.475341796875, -0.63916015625, -0.5537109375, -0.31494140625, -0.70751953125, -0.267578125, -0.351318359375, -0.2325439453125, -0.53857421875, 0.63818359375, 0.375, 0.330078125, 0.28076171875, -0.5615234375, 0.2193603515625, 0.8330078125, 0.96923828125, -0.0421142578125, 0.453125, 0.51171875, -0.484130859375, -0.0948486328125, -0.75830078125, 0.3818359375, -0.044769287109375, 0.29345703125, -0.55859375, 0.14453125, -0.60009765625, -1.267578125, -0.23681640625, 0.67236328125, 0.63671875, -0.619140625, -1.2451171875, -0.350341796875, -1.1455078125, -0.35400390625, -0.64697265625, 0.395751953125, -0.0343017578125, 0.59619140625, 0.371337890625, -1.1171875, 4.46484375, 0.94140625, 0.94091796875, 0.354736328125, 0.5107421875, 1.3857421875, 0.330322265625, -0.55712890625, -0.1392822265625, -0.76904296875, 0.58056640625, -0.1478271484375, 0.1478271484375, 0.99365234375, -0.1207275390625, 0.705078125, -1.0224609375, -0.2447509765625, -0.2022705078125, -1.162109375, -0.69873046875, -0.2398681640625, 0.073974609375, 0.42236328125, 0.040985107421875, 0.2379150390625, 0.3369140625, -0.87890625, -0.14892578125, -0.4375, -0.212646484375, -0.367919921875, 0.974609375, 0.262451171875, -0.30029296875, 0.509765625, -0.146484375, -0.295166015625, 0.163818359375, 0.07818603515625, 0.11456298828125, 0.06378173828125, 0.337646484375, -0.476806640625, -0.0755615234375, 0.7001953125, -0.45458984375, 0.05316162109375, -0.140869140625, -0.8115234375, 0.62744140625, -0.0208892822265625, 0.6357421875, -0.416259765625, -0.74560546875, 0.1990966796875, 0.297119140625, 0.218505859375, -0.513671875, 0.3056640625, 0.30224609375, 0.51806640625, -0.04150390625, 0.347412109375, -1.0009765625, 1.283203125, -0.028564453125, 0.251220703125, -0.71484375, 0.1148681640625, -0.281005859375, -0.2841796875, -0.392333984375, -0.1412353515625, 0.85205078125, 0.1575927734375, -0.12078857421875, 0.51708984375, 0.41796875, -0.336669921875, 0.3603515625, -0.54931640625, -0.568359375, -0.18896484375, 0.6298828125, 1.03125, -0.497802734375, -0.01045989990234375, 0.1363525390625, 0.7548828125, 0.4208984375, 0.7265625, 0.031524658203125, -0.7177734375, -0.357421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Tags: constructive algorithms, hashing, strings Correct Solution: ``` import sys from collections import Counter S = input() N = len(S) C = Counter(S) if len(C) == 1: print('Impossible') sys.exit() if len(C) == 2: if min(list(C.values())) == 1: print('Impossible') sys.exit() for i in range(1,N): T = S[i:] + S[:i] if T == T[::-1] and T != S: print(1) sys.exit() print(2) sys.exit() ```
7,600
[ 0.0845947265625, -0.4052734375, -0.171630859375, -0.29541015625, -0.5087890625, -0.57666015625, 0.1383056640625, -0.236083984375, -0.08819580078125, 0.64453125, 0.96728515625, -0.37255859375, 0.2978515625, -0.77685546875, -0.75146484375, 0.22802734375, -0.94677734375, -0.810546875, -0.50146484375, -0.40283203125, 0.2039794921875, -0.0380859375, -1.455078125, -0.12261962890625, -0.04638671875, 0.7177734375, 0.64404296875, 0.2353515625, 0.94580078125, 0.9267578125, 0.055145263671875, 0.006282806396484375, 0.736328125, -0.8173828125, -0.10687255859375, -0.12939453125, 0.19873046875, -0.5732421875, -0.4384765625, -0.452880859375, 0.2105712890625, -0.447265625, 0.6376953125, -0.77734375, -1.1298828125, 0.446533203125, -0.60986328125, -0.52392578125, -0.6572265625, -1.11328125, -0.071533203125, -0.291015625, 0.1746826171875, 0.04669189453125, 0.306640625, -0.1171875, 0.2174072265625, 0.228271484375, -0.50634765625, 0.412841796875, 0.2283935546875, 0.028594970703125, -0.417236328125, -0.71484375, -0.402587890625, -0.06793212890625, -0.197021484375, 0.0011529922485351562, 0.477783203125, -1.041015625, -0.1334228515625, 0.51611328125, -0.2230224609375, -0.69140625, -0.5400390625, 0.10430908203125, 0.0986328125, 0.1385498046875, -0.476318359375, 0.8642578125, 0.0986328125, 1.0966796875, -0.045440673828125, 0.2412109375, -0.3271484375, -0.65283203125, 0.1710205078125, 0.26025390625, 0.07861328125, -0.1414794921875, -0.196533203125, 0.70654296875, -0.162353515625, 0.08843994140625, 0.353271484375, 0.6669921875, -0.09832763671875, 0.58349609375, 0.0228118896484375, 0.23779296875, 0.75927734375, 0.94189453125, -0.349853515625, 0.5625, -0.39599609375, -0.1297607421875, 0.0179290771484375, 0.1278076171875, 0.1810302734375, -0.334716796875, 0.150390625, -0.385498046875, 0.57568359375, 0.2822265625, 0.261474609375, 0.386474609375, -0.05682373046875, 0.40283203125, -0.89111328125, 0.359130859375, 0.376953125, 0.1832275390625, 0.25732421875, -0.2705078125, 0.1741943359375, -0.09716796875, -0.318359375, 1.0830078125, -0.65966796875, 0.064208984375, 0.595703125, 0.0055084228515625, -0.043853759765625, 0.1854248046875, -0.08026123046875, 0.6396484375, 0.04547119140625, 0.515625, 0.38134765625, -0.74267578125, 0.63818359375, -0.06573486328125, -0.1405029296875, 1.50390625, 0.42138671875, -0.061920166015625, 0.92041015625, 0.262451171875, -0.953125, 0.64453125, -0.740234375, 0.6171875, 0.391845703125, 0.017242431640625, -0.1875, 0.2137451171875, -0.06573486328125, 0.448486328125, -0.01139068603515625, 0.145751953125, -0.08587646484375, 0.495849609375, -0.1810302734375, 0.8466796875, -0.0063323974609375, 0.88818359375, -0.52783203125, -0.62353515625, -0.1832275390625, -0.5029296875, 0.145751953125, 0.1307373046875, -0.11822509765625, 0.9560546875, 0.64794921875, 0.865234375, 0.884765625, -0.31884765625, 0.35791015625, 0.427734375, -0.32080078125, 0.62353515625, 0.31396484375, 0.640625, -0.06182861328125, 0.295654296875, -0.1759033203125, -0.2144775390625, -0.371826171875, -0.23876953125, 0.117919921875, 0.556640625, -0.28515625, 0.1998291015625, 0.327880859375, 0.11773681640625, -1.0126953125, -0.33544921875, 0.2481689453125, -1.162109375, -0.1802978515625, 0.91650390625, -0.2413330078125, 0.57373046875, -0.342041015625, -0.39208984375, 0.75048828125, 1.3349609375, -0.255126953125, -0.029571533203125, 0.261962890625, 0.0234527587890625, -0.12213134765625, 0.09381103515625, -0.1231689453125, -0.1683349609375, -0.751953125, 0.83349609375, -0.269287109375, -0.1351318359375, -0.197509765625, 1.0205078125, 0.174560546875, 0.5244140625, -0.69873046875, -0.3291015625, 0.4990234375, 1.328125, 0.0140380859375, -0.11126708984375, 0.13720703125, 0.6435546875, 0.407958984375, 0.63916015625, 0.42333984375, 0.03302001953125, 0.5595703125, 0.63330078125, -0.07757568359375, -0.05670166015625, 0.18212890625, 0.281005859375, 0.736328125, 0.380615234375, 0.40869140625, 0.650390625, -0.28125, -0.0946044921875, -0.248779296875, 0.314697265625, -0.202392578125, 0.755859375, 0.51513671875, 0.1165771484375, -0.56103515625, -0.10321044921875, 0.427734375, 0.63623046875, -0.62353515625, -0.921875, -0.0037975311279296875, 0.08428955078125, 0.52783203125, -0.125, 0.303466796875, 0.2061767578125, 0.374755859375, 0.6875, 0.03985595703125, -0.701171875, -0.859375, -1.1337890625, -0.68212890625, -0.395263671875, -0.5498046875, -0.1741943359375, 0.494384765625, -1.078125, 0.11767578125, 0.1033935546875, -0.101318359375, -0.046722412109375, -0.66259765625, 0.492919921875, -0.17578125, 0.83837890625, -0.261962890625, 0.99658203125, -0.0258331298828125, 1.0869140625, -0.302001953125, -0.1944580078125, -0.142822265625, -0.47314453125, 0.322998046875, 0.11383056640625, 0.5576171875, -0.2113037109375, -0.60986328125, -1.134765625, -0.272705078125, -0.19287109375, -0.357421875, 0.23876953125, -0.56787109375, 0.73681640625, 0.6484375, -0.5107421875, 0.437744140625, 0.84765625, -0.68212890625, 0.36083984375, 0.00461578369140625, -0.251953125, -0.75146484375, 1.2646484375, 0.293212890625, 0.346435546875, -0.47998046875, -1.0283203125, -0.412841796875, 0.0283355712890625, 0.2032470703125, -0.6181640625, -0.26513671875, 0.60693359375, 0.1400146484375, -0.85107421875, 0.69384765625, -1.0380859375, -0.7607421875, -0.1571044921875, -0.87890625, 0.68359375, 0.96240234375, -0.1409912109375, -0.10504150390625, -0.472412109375, -0.00879669189453125, 0.8046875, 0.281494140625, -0.446044921875, -0.1851806640625, 0.36083984375, -0.041351318359375, 0.143310546875, 0.238037109375, -0.443603515625, -0.270263671875, -0.041748046875, 0.2293701171875, 0.495849609375, 0.28857421875, 0.71435546875, 0.303955078125, 0.85986328125, -0.81640625, -0.4638671875, 0.04150390625, 0.5830078125, 0.03826904296875, 0.51904296875, -0.00963592529296875, -0.46533203125, -0.90185546875, -1.1416015625, 0.113037109375, 0.42626953125, 0.73974609375, -0.430908203125, 0.86669921875, -0.040374755859375, -0.5419921875, 0.48193359375, -0.88525390625, -0.0006470680236816406, 1.0078125, -0.472900390625, 0.86279296875, -0.515625, 0.53564453125, -0.007701873779296875, 0.2484130859375, 0.078857421875, 0.1534423828125, 0.430419921875, -0.250732421875, -0.845703125, -0.25, 0.053314208984375, -0.070068359375, -0.28271484375, 0.4248046875, -0.6025390625, -0.537109375, -0.59326171875, 0.70751953125, 0.513671875, 0.478759765625, -0.037078857421875, 0.505859375, 0.468505859375, 0.630859375, 0.483642578125, -0.2471923828125, 0.049072265625, -0.6513671875, 1.32421875, 0.1810302734375, -0.34228515625, -0.1341552734375, -0.06072998046875, -0.427490234375, -0.085693359375, 0.1829833984375, -0.0202484130859375, -1.0810546875, 0.2154541015625, 0.031524658203125, 1.0283203125, -0.3369140625, -0.307373046875, -0.17333984375, 0.259765625, 0.17724609375, -0.865234375, -0.06378173828125, -0.6875, 0.69140625, 0.29052734375, -0.17138671875, -0.415283203125, -0.4736328125, -0.85546875, -0.57568359375, 0.0199127197265625, 0.73486328125, 0.11767578125, 0.20849609375, -1.2880859375, 0.724609375, 0.2164306640625, -0.325439453125, 0.1845703125, -0.1466064453125, 0.5771484375, -0.39697265625, 0.62451171875, -0.2274169921875, -0.75, 0.118408203125, -1.25, 0.461181640625, -0.148681640625, 0.384521484375, -0.1070556640625, -0.5966796875, 0.125244140625, 0.279296875, -0.327392578125, 0.310791015625, -0.2161865234375, 0.472412109375, -0.859375, -0.63232421875, 0.26318359375, -0.414794921875, -0.224365234375, 0.6767578125, 0.255126953125, -0.168212890625, 0.0462646484375, 0.381103515625, -0.1529541015625, 0.339599609375, -0.66259765625, 0.6337890625, -0.288330078125, -0.51025390625, 0.0345458984375, -0.458251953125, 0.7392578125, -0.141845703125, -0.734375, -0.343994140625, -1.2724609375, -0.188232421875, -0.2235107421875, -0.2205810546875, 0.27392578125, 0.134765625, -0.48681640625, -0.0310821533203125, -0.4755859375, -0.037445068359375, -0.452880859375, -0.62158203125, -0.6494140625, 0.38134765625, 0.53857421875, 0.5634765625, 0.076904296875, -0.348876953125, -0.06646728515625, 0.048828125, 0.1292724609375, -0.354736328125, -0.317626953125, -0.286376953125, -0.427490234375, -0.0560302734375, 0.08349609375, 0.152099609375, 0.46923828125, 0.67578125, 0.07037353515625, 0.65625, 0.53955078125, -0.45703125, 0.92333984375, 0.1922607421875, -1.2490234375, -0.58935546875, 0.6376953125, -0.01433563232421875, 0.5341796875, -0.0556640625, -0.87646484375, -0.87890625, -0.64013671875, 0.23291015625, -0.919921875, -0.480712890625, -0.90771484375, -0.10601806640625, -0.295654296875, 0.6123046875, -0.35791015625, -0.74560546875, 0.2568359375, -0.87744140625, 0.52880859375, -0.693359375, -0.349853515625, -0.869140625, -0.368896484375, -0.2174072265625, 1.03125, 0.10992431640625, 0.328857421875, 0.0438232421875, -0.392822265625, 0.042938232421875, -0.294677734375, -0.67529296875, -0.35693359375, 0.011993408203125, 0.0159454345703125, -0.11334228515625, -0.367431640625, -0.5126953125, 0.76806640625, -0.86865234375, 0.2763671875, -0.470458984375, -0.296142578125, -0.03009033203125, -0.2115478515625, 0.89013671875, -0.39453125, 0.222900390625, -0.11004638671875, 0.498291015625, 1.0244140625, -0.28857421875, -0.332275390625, -0.76123046875, -0.7041015625, -0.90283203125, 0.6142578125, -0.65966796875, 0.1051025390625, -1, -0.315185546875, 0.8857421875, -0.47705078125, 0.25341796875, 0.833984375, 0.08599853515625, 0.1732177734375, -0.724609375, 0.6328125, 0.455078125, -0.380126953125, -0.20166015625, 0.049346923828125, -0.29150390625, 0.292236328125, 0.100341796875, -1.0244140625, -0.8818359375, 0.5498046875, 0.98828125, -0.53076171875, 0.8310546875, 0.214599609375, -1.0517578125, -0.533203125, 0.7216796875, 0.00800323486328125, 0.1263427734375, 0.962890625, -0.20361328125, -0.1934814453125, 0.2391357421875, -0.08758544921875, -0.332763671875, -0.437255859375, 0.84912109375, -0.5126953125, -0.387939453125, 0.8828125, 0.87158203125, -1.1435546875, -0.88330078125, -0.448974609375, 0.02691650390625, -0.093505859375, -0.76953125, -0.10235595703125, 0.485107421875, -0.6943359375, 0.07470703125, 0.515625, -0.065185546875, 0.44384765625, 0.189453125, 0.2410888671875, -0.42138671875, 0.5732421875, 0.62890625, -0.363525390625, -0.61376953125, -0.95849609375, -0.339599609375, -0.62451171875, 0.1435546875, 0.54931640625, -0.23291015625, 0.341552734375, 0.409912109375, 0.28857421875, 0.63818359375, -0.490966796875, -0.384521484375, 0.40283203125, -0.87109375, -0.274169921875, -0.2734375, 0.414306640625, -0.1744384765625, 0.337646484375, -0.47216796875, 0.0343017578125, 0.27587890625, 0.58740234375, -0.142578125, -0.77392578125, -0.02813720703125, -1.0224609375, -0.61083984375, -0.60546875, -0.609375, 0.02374267578125, 0.1326904296875, -0.607421875, -0.75732421875, 0.06884765625, 0.35546875, -0.7197265625, 1.0380859375, -0.32177734375, 0.269775390625, -0.70947265625, -0.287109375, -0.60400390625, -0.5107421875, -0.469970703125, -0.1776123046875, -0.65673828125, 0.493408203125, -0.2127685546875, 0.47509765625, -0.045806884765625, 0.2022705078125, 0.0156402587890625, -0.53955078125, -0.036346435546875, 0.12396240234375, 0.1370849609375, 0.8837890625, 0.63623046875, -0.00843048095703125, 0.41162109375, -0.25830078125, -0.693359375, -0.3505859375, 0.47509765625, 0.74365234375, -0.0228729248046875, -0.1676025390625, -0.5439453125, -0.01486968994140625, -1.2255859375, 0.496337890625, -0.458740234375, 0.46533203125, 0.39501953125, 0.09600830078125, 0.576171875, 1.224609375, -0.032073974609375, 0.302978515625, 0.42919921875, 0.427978515625, 0.34228515625, -0.06365966796875, -0.072509765625, 0.908203125, 0.0858154296875, -0.419189453125, -0.04693603515625, 0.1790771484375, 0.77685546875, 0.29345703125, -0.34814453125, -0.552734375, -0.8291015625, 0.004261016845703125, 0.234130859375, 0.309326171875, 1.0166015625, -0.59619140625, -0.1669921875, -0.63623046875, -0.68212890625, -0.077392578125, -0.9794921875, -0.78173828125, 0.288818359375, 0.049957275390625, -0.3876953125, -0.10357666015625, -0.3095703125, -0.7548828125, -0.074951171875, 0.4111328125, -0.446044921875, 0.65283203125, -0.375244140625, 0.71875, -0.193359375, 0.231689453125, 0.2333984375, 0.654296875, -0.429931640625, -0.48583984375, -0.2408447265625, 1.3369140625, 0.28662109375, 0.129638671875, -0.346435546875, 0.2388916015625, -0.2310791015625, 0.2215576171875, -0.3447265625, -0.0182342529296875, -0.15576171875, 0.87255859375, -0.814453125, 0.0015201568603515625, -0.0745849609375, 0.1551513671875, 0.1864013671875, -0.491943359375, -0.6220703125, 0.91552734375, 0.69970703125, -0.10009765625, 0.384521484375, 0.30126953125, 0.06939697265625, -0.00873565673828125, -0.172607421875, -0.279541015625, 0.285400390625, 0.53173828125, 0.525390625, -0.3447265625, 0.39208984375, 0.40771484375, -0.21923828125, -0.2196044921875, -0.020965576171875, 0.350830078125, -0.0655517578125, 0.327880859375, -0.1387939453125, -0.09765625, 0.171630859375, -0.60546875, 0.3251953125, -0.1524658203125, 0.12005615234375, -0.332275390625, -0.50634765625, 0.71337890625, -0.392333984375, -0.1607666015625, 0.0465087890625, -0.744140625, 0.492431640625, 0.86376953125, 0.09967041015625, -0.2265625, 0.91015625, 0.355224609375, 0.28564453125, 0.65673828125, 0.51904296875, 0.2032470703125, -0.56005859375, 0.304931640625, 0.25927734375, 0.1201171875, -0.4755859375, -0.5390625, -0.65771484375, 0.457275390625, -0.357421875, -0.434814453125, 0.297119140625, -0.728515625, 0.1104736328125, -0.469970703125, 0.65771484375, -0.4638671875, 0.4033203125, 0.09674072265625, -0.57470703125, -0.548828125, 0.873046875, -0.216796875, 0.55517578125, 0.0938720703125, 1.3583984375, 0.11016845703125, 1.287109375, 0.541015625, -0.2138671875, 0.09893798828125, 0.38671875, -0.283203125, -0.56591796875, -0.154296875, -0.324951171875, -0.043365478515625, -0.609375, -0.4736328125, -0.2333984375, 0.875, 0.09991455078125, -0.9111328125, -0.04998779296875, 0.1611328125, -0.87060546875, 0.51123046875, -0.040771484375, 0.388427734375, 0.1024169921875, 0.3271484375, 0.01190185546875, -1.1787109375, -0.056427001953125, -0.6650390625, 0.475341796875, -0.63916015625, -0.5537109375, -0.31494140625, -0.70751953125, -0.267578125, -0.351318359375, -0.2325439453125, -0.53857421875, 0.63818359375, 0.375, 0.330078125, 0.28076171875, -0.5615234375, 0.2193603515625, 0.8330078125, 0.96923828125, -0.0421142578125, 0.453125, 0.51171875, -0.484130859375, -0.0948486328125, -0.75830078125, 0.3818359375, -0.044769287109375, 0.29345703125, -0.55859375, 0.14453125, -0.60009765625, -1.267578125, -0.23681640625, 0.67236328125, 0.63671875, -0.619140625, -1.2451171875, -0.350341796875, -1.1455078125, -0.35400390625, -0.64697265625, 0.395751953125, -0.0343017578125, 0.59619140625, 0.371337890625, -1.1171875, 4.46484375, 0.94140625, 0.94091796875, 0.354736328125, 0.5107421875, 1.3857421875, 0.330322265625, -0.55712890625, -0.1392822265625, -0.76904296875, 0.58056640625, -0.1478271484375, 0.1478271484375, 0.99365234375, -0.1207275390625, 0.705078125, -1.0224609375, -0.2447509765625, -0.2022705078125, -1.162109375, -0.69873046875, -0.2398681640625, 0.073974609375, 0.42236328125, 0.040985107421875, 0.2379150390625, 0.3369140625, -0.87890625, -0.14892578125, -0.4375, -0.212646484375, -0.367919921875, 0.974609375, 0.262451171875, -0.30029296875, 0.509765625, -0.146484375, -0.295166015625, 0.163818359375, 0.07818603515625, 0.11456298828125, 0.06378173828125, 0.337646484375, -0.476806640625, -0.0755615234375, 0.7001953125, -0.45458984375, 0.05316162109375, -0.140869140625, -0.8115234375, 0.62744140625, -0.0208892822265625, 0.6357421875, -0.416259765625, -0.74560546875, 0.1990966796875, 0.297119140625, 0.218505859375, -0.513671875, 0.3056640625, 0.30224609375, 0.51806640625, -0.04150390625, 0.347412109375, -1.0009765625, 1.283203125, -0.028564453125, 0.251220703125, -0.71484375, 0.1148681640625, -0.281005859375, -0.2841796875, -0.392333984375, -0.1412353515625, 0.85205078125, 0.1575927734375, -0.12078857421875, 0.51708984375, 0.41796875, -0.336669921875, 0.3603515625, -0.54931640625, -0.568359375, -0.18896484375, 0.6298828125, 1.03125, -0.497802734375, -0.01045989990234375, 0.1363525390625, 0.7548828125, 0.4208984375, 0.7265625, 0.031524658203125, -0.7177734375, -0.357421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Tags: constructive algorithms, hashing, strings Correct Solution: ``` def main(): s = input() n = len(s) for part in range(n - 1): newstr = s[part + 1:] + s[:part + 1] if newstr != s and newstr == newstr[::-1]: print(1) return left = s[:n // 2] right = s[(n + 1) // 2:] if n == 1 or left == right and len({c for c in left}) == 1: print("Impossible") else: print(2) if __name__ == "__main__": main() ```
7,601
[ 0.0845947265625, -0.4052734375, -0.171630859375, -0.29541015625, -0.5087890625, -0.57666015625, 0.1383056640625, -0.236083984375, -0.08819580078125, 0.64453125, 0.96728515625, -0.37255859375, 0.2978515625, -0.77685546875, -0.75146484375, 0.22802734375, -0.94677734375, -0.810546875, -0.50146484375, -0.40283203125, 0.2039794921875, -0.0380859375, -1.455078125, -0.12261962890625, -0.04638671875, 0.7177734375, 0.64404296875, 0.2353515625, 0.94580078125, 0.9267578125, 0.055145263671875, 0.006282806396484375, 0.736328125, -0.8173828125, -0.10687255859375, -0.12939453125, 0.19873046875, -0.5732421875, -0.4384765625, -0.452880859375, 0.2105712890625, -0.447265625, 0.6376953125, -0.77734375, -1.1298828125, 0.446533203125, -0.60986328125, -0.52392578125, -0.6572265625, -1.11328125, -0.071533203125, -0.291015625, 0.1746826171875, 0.04669189453125, 0.306640625, -0.1171875, 0.2174072265625, 0.228271484375, -0.50634765625, 0.412841796875, 0.2283935546875, 0.028594970703125, -0.417236328125, -0.71484375, -0.402587890625, -0.06793212890625, -0.197021484375, 0.0011529922485351562, 0.477783203125, -1.041015625, -0.1334228515625, 0.51611328125, -0.2230224609375, -0.69140625, -0.5400390625, 0.10430908203125, 0.0986328125, 0.1385498046875, -0.476318359375, 0.8642578125, 0.0986328125, 1.0966796875, -0.045440673828125, 0.2412109375, -0.3271484375, -0.65283203125, 0.1710205078125, 0.26025390625, 0.07861328125, -0.1414794921875, -0.196533203125, 0.70654296875, -0.162353515625, 0.08843994140625, 0.353271484375, 0.6669921875, -0.09832763671875, 0.58349609375, 0.0228118896484375, 0.23779296875, 0.75927734375, 0.94189453125, -0.349853515625, 0.5625, -0.39599609375, -0.1297607421875, 0.0179290771484375, 0.1278076171875, 0.1810302734375, -0.334716796875, 0.150390625, -0.385498046875, 0.57568359375, 0.2822265625, 0.261474609375, 0.386474609375, -0.05682373046875, 0.40283203125, -0.89111328125, 0.359130859375, 0.376953125, 0.1832275390625, 0.25732421875, -0.2705078125, 0.1741943359375, -0.09716796875, -0.318359375, 1.0830078125, -0.65966796875, 0.064208984375, 0.595703125, 0.0055084228515625, -0.043853759765625, 0.1854248046875, -0.08026123046875, 0.6396484375, 0.04547119140625, 0.515625, 0.38134765625, -0.74267578125, 0.63818359375, -0.06573486328125, -0.1405029296875, 1.50390625, 0.42138671875, -0.061920166015625, 0.92041015625, 0.262451171875, -0.953125, 0.64453125, -0.740234375, 0.6171875, 0.391845703125, 0.017242431640625, -0.1875, 0.2137451171875, -0.06573486328125, 0.448486328125, -0.01139068603515625, 0.145751953125, -0.08587646484375, 0.495849609375, -0.1810302734375, 0.8466796875, -0.0063323974609375, 0.88818359375, -0.52783203125, -0.62353515625, -0.1832275390625, -0.5029296875, 0.145751953125, 0.1307373046875, -0.11822509765625, 0.9560546875, 0.64794921875, 0.865234375, 0.884765625, -0.31884765625, 0.35791015625, 0.427734375, -0.32080078125, 0.62353515625, 0.31396484375, 0.640625, -0.06182861328125, 0.295654296875, -0.1759033203125, -0.2144775390625, -0.371826171875, -0.23876953125, 0.117919921875, 0.556640625, -0.28515625, 0.1998291015625, 0.327880859375, 0.11773681640625, -1.0126953125, -0.33544921875, 0.2481689453125, -1.162109375, -0.1802978515625, 0.91650390625, -0.2413330078125, 0.57373046875, -0.342041015625, -0.39208984375, 0.75048828125, 1.3349609375, -0.255126953125, -0.029571533203125, 0.261962890625, 0.0234527587890625, -0.12213134765625, 0.09381103515625, -0.1231689453125, -0.1683349609375, -0.751953125, 0.83349609375, -0.269287109375, -0.1351318359375, -0.197509765625, 1.0205078125, 0.174560546875, 0.5244140625, -0.69873046875, -0.3291015625, 0.4990234375, 1.328125, 0.0140380859375, -0.11126708984375, 0.13720703125, 0.6435546875, 0.407958984375, 0.63916015625, 0.42333984375, 0.03302001953125, 0.5595703125, 0.63330078125, -0.07757568359375, -0.05670166015625, 0.18212890625, 0.281005859375, 0.736328125, 0.380615234375, 0.40869140625, 0.650390625, -0.28125, -0.0946044921875, -0.248779296875, 0.314697265625, -0.202392578125, 0.755859375, 0.51513671875, 0.1165771484375, -0.56103515625, -0.10321044921875, 0.427734375, 0.63623046875, -0.62353515625, -0.921875, -0.0037975311279296875, 0.08428955078125, 0.52783203125, -0.125, 0.303466796875, 0.2061767578125, 0.374755859375, 0.6875, 0.03985595703125, -0.701171875, -0.859375, -1.1337890625, -0.68212890625, -0.395263671875, -0.5498046875, -0.1741943359375, 0.494384765625, -1.078125, 0.11767578125, 0.1033935546875, -0.101318359375, -0.046722412109375, -0.66259765625, 0.492919921875, -0.17578125, 0.83837890625, -0.261962890625, 0.99658203125, -0.0258331298828125, 1.0869140625, -0.302001953125, -0.1944580078125, -0.142822265625, -0.47314453125, 0.322998046875, 0.11383056640625, 0.5576171875, -0.2113037109375, -0.60986328125, -1.134765625, -0.272705078125, -0.19287109375, -0.357421875, 0.23876953125, -0.56787109375, 0.73681640625, 0.6484375, -0.5107421875, 0.437744140625, 0.84765625, -0.68212890625, 0.36083984375, 0.00461578369140625, -0.251953125, -0.75146484375, 1.2646484375, 0.293212890625, 0.346435546875, -0.47998046875, -1.0283203125, -0.412841796875, 0.0283355712890625, 0.2032470703125, -0.6181640625, -0.26513671875, 0.60693359375, 0.1400146484375, -0.85107421875, 0.69384765625, -1.0380859375, -0.7607421875, -0.1571044921875, -0.87890625, 0.68359375, 0.96240234375, -0.1409912109375, -0.10504150390625, -0.472412109375, -0.00879669189453125, 0.8046875, 0.281494140625, -0.446044921875, -0.1851806640625, 0.36083984375, -0.041351318359375, 0.143310546875, 0.238037109375, -0.443603515625, -0.270263671875, -0.041748046875, 0.2293701171875, 0.495849609375, 0.28857421875, 0.71435546875, 0.303955078125, 0.85986328125, -0.81640625, -0.4638671875, 0.04150390625, 0.5830078125, 0.03826904296875, 0.51904296875, -0.00963592529296875, -0.46533203125, -0.90185546875, -1.1416015625, 0.113037109375, 0.42626953125, 0.73974609375, -0.430908203125, 0.86669921875, -0.040374755859375, -0.5419921875, 0.48193359375, -0.88525390625, -0.0006470680236816406, 1.0078125, -0.472900390625, 0.86279296875, -0.515625, 0.53564453125, -0.007701873779296875, 0.2484130859375, 0.078857421875, 0.1534423828125, 0.430419921875, -0.250732421875, -0.845703125, -0.25, 0.053314208984375, -0.070068359375, -0.28271484375, 0.4248046875, -0.6025390625, -0.537109375, -0.59326171875, 0.70751953125, 0.513671875, 0.478759765625, -0.037078857421875, 0.505859375, 0.468505859375, 0.630859375, 0.483642578125, -0.2471923828125, 0.049072265625, -0.6513671875, 1.32421875, 0.1810302734375, -0.34228515625, -0.1341552734375, -0.06072998046875, -0.427490234375, -0.085693359375, 0.1829833984375, -0.0202484130859375, -1.0810546875, 0.2154541015625, 0.031524658203125, 1.0283203125, -0.3369140625, -0.307373046875, -0.17333984375, 0.259765625, 0.17724609375, -0.865234375, -0.06378173828125, -0.6875, 0.69140625, 0.29052734375, -0.17138671875, -0.415283203125, -0.4736328125, -0.85546875, -0.57568359375, 0.0199127197265625, 0.73486328125, 0.11767578125, 0.20849609375, -1.2880859375, 0.724609375, 0.2164306640625, -0.325439453125, 0.1845703125, -0.1466064453125, 0.5771484375, -0.39697265625, 0.62451171875, -0.2274169921875, -0.75, 0.118408203125, -1.25, 0.461181640625, -0.148681640625, 0.384521484375, -0.1070556640625, -0.5966796875, 0.125244140625, 0.279296875, -0.327392578125, 0.310791015625, -0.2161865234375, 0.472412109375, -0.859375, -0.63232421875, 0.26318359375, -0.414794921875, -0.224365234375, 0.6767578125, 0.255126953125, -0.168212890625, 0.0462646484375, 0.381103515625, -0.1529541015625, 0.339599609375, -0.66259765625, 0.6337890625, -0.288330078125, -0.51025390625, 0.0345458984375, -0.458251953125, 0.7392578125, -0.141845703125, -0.734375, -0.343994140625, -1.2724609375, -0.188232421875, -0.2235107421875, -0.2205810546875, 0.27392578125, 0.134765625, -0.48681640625, -0.0310821533203125, -0.4755859375, -0.037445068359375, -0.452880859375, -0.62158203125, -0.6494140625, 0.38134765625, 0.53857421875, 0.5634765625, 0.076904296875, -0.348876953125, -0.06646728515625, 0.048828125, 0.1292724609375, -0.354736328125, -0.317626953125, -0.286376953125, -0.427490234375, -0.0560302734375, 0.08349609375, 0.152099609375, 0.46923828125, 0.67578125, 0.07037353515625, 0.65625, 0.53955078125, -0.45703125, 0.92333984375, 0.1922607421875, -1.2490234375, -0.58935546875, 0.6376953125, -0.01433563232421875, 0.5341796875, -0.0556640625, -0.87646484375, -0.87890625, -0.64013671875, 0.23291015625, -0.919921875, -0.480712890625, -0.90771484375, -0.10601806640625, -0.295654296875, 0.6123046875, -0.35791015625, -0.74560546875, 0.2568359375, -0.87744140625, 0.52880859375, -0.693359375, -0.349853515625, -0.869140625, -0.368896484375, -0.2174072265625, 1.03125, 0.10992431640625, 0.328857421875, 0.0438232421875, -0.392822265625, 0.042938232421875, -0.294677734375, -0.67529296875, -0.35693359375, 0.011993408203125, 0.0159454345703125, -0.11334228515625, -0.367431640625, -0.5126953125, 0.76806640625, -0.86865234375, 0.2763671875, -0.470458984375, -0.296142578125, -0.03009033203125, -0.2115478515625, 0.89013671875, -0.39453125, 0.222900390625, -0.11004638671875, 0.498291015625, 1.0244140625, -0.28857421875, -0.332275390625, -0.76123046875, -0.7041015625, -0.90283203125, 0.6142578125, -0.65966796875, 0.1051025390625, -1, -0.315185546875, 0.8857421875, -0.47705078125, 0.25341796875, 0.833984375, 0.08599853515625, 0.1732177734375, -0.724609375, 0.6328125, 0.455078125, -0.380126953125, -0.20166015625, 0.049346923828125, -0.29150390625, 0.292236328125, 0.100341796875, -1.0244140625, -0.8818359375, 0.5498046875, 0.98828125, -0.53076171875, 0.8310546875, 0.214599609375, -1.0517578125, -0.533203125, 0.7216796875, 0.00800323486328125, 0.1263427734375, 0.962890625, -0.20361328125, -0.1934814453125, 0.2391357421875, -0.08758544921875, -0.332763671875, -0.437255859375, 0.84912109375, -0.5126953125, -0.387939453125, 0.8828125, 0.87158203125, -1.1435546875, -0.88330078125, -0.448974609375, 0.02691650390625, -0.093505859375, -0.76953125, -0.10235595703125, 0.485107421875, -0.6943359375, 0.07470703125, 0.515625, -0.065185546875, 0.44384765625, 0.189453125, 0.2410888671875, -0.42138671875, 0.5732421875, 0.62890625, -0.363525390625, -0.61376953125, -0.95849609375, -0.339599609375, -0.62451171875, 0.1435546875, 0.54931640625, -0.23291015625, 0.341552734375, 0.409912109375, 0.28857421875, 0.63818359375, -0.490966796875, -0.384521484375, 0.40283203125, -0.87109375, -0.274169921875, -0.2734375, 0.414306640625, -0.1744384765625, 0.337646484375, -0.47216796875, 0.0343017578125, 0.27587890625, 0.58740234375, -0.142578125, -0.77392578125, -0.02813720703125, -1.0224609375, -0.61083984375, -0.60546875, -0.609375, 0.02374267578125, 0.1326904296875, -0.607421875, -0.75732421875, 0.06884765625, 0.35546875, -0.7197265625, 1.0380859375, -0.32177734375, 0.269775390625, -0.70947265625, -0.287109375, -0.60400390625, -0.5107421875, -0.469970703125, -0.1776123046875, -0.65673828125, 0.493408203125, -0.2127685546875, 0.47509765625, -0.045806884765625, 0.2022705078125, 0.0156402587890625, -0.53955078125, -0.036346435546875, 0.12396240234375, 0.1370849609375, 0.8837890625, 0.63623046875, -0.00843048095703125, 0.41162109375, -0.25830078125, -0.693359375, -0.3505859375, 0.47509765625, 0.74365234375, -0.0228729248046875, -0.1676025390625, -0.5439453125, -0.01486968994140625, -1.2255859375, 0.496337890625, -0.458740234375, 0.46533203125, 0.39501953125, 0.09600830078125, 0.576171875, 1.224609375, -0.032073974609375, 0.302978515625, 0.42919921875, 0.427978515625, 0.34228515625, -0.06365966796875, -0.072509765625, 0.908203125, 0.0858154296875, -0.419189453125, -0.04693603515625, 0.1790771484375, 0.77685546875, 0.29345703125, -0.34814453125, -0.552734375, -0.8291015625, 0.004261016845703125, 0.234130859375, 0.309326171875, 1.0166015625, -0.59619140625, -0.1669921875, -0.63623046875, -0.68212890625, -0.077392578125, -0.9794921875, -0.78173828125, 0.288818359375, 0.049957275390625, -0.3876953125, -0.10357666015625, -0.3095703125, -0.7548828125, -0.074951171875, 0.4111328125, -0.446044921875, 0.65283203125, -0.375244140625, 0.71875, -0.193359375, 0.231689453125, 0.2333984375, 0.654296875, -0.429931640625, -0.48583984375, -0.2408447265625, 1.3369140625, 0.28662109375, 0.129638671875, -0.346435546875, 0.2388916015625, -0.2310791015625, 0.2215576171875, -0.3447265625, -0.0182342529296875, -0.15576171875, 0.87255859375, -0.814453125, 0.0015201568603515625, -0.0745849609375, 0.1551513671875, 0.1864013671875, -0.491943359375, -0.6220703125, 0.91552734375, 0.69970703125, -0.10009765625, 0.384521484375, 0.30126953125, 0.06939697265625, -0.00873565673828125, -0.172607421875, -0.279541015625, 0.285400390625, 0.53173828125, 0.525390625, -0.3447265625, 0.39208984375, 0.40771484375, -0.21923828125, -0.2196044921875, -0.020965576171875, 0.350830078125, -0.0655517578125, 0.327880859375, -0.1387939453125, -0.09765625, 0.171630859375, -0.60546875, 0.3251953125, -0.1524658203125, 0.12005615234375, -0.332275390625, -0.50634765625, 0.71337890625, -0.392333984375, -0.1607666015625, 0.0465087890625, -0.744140625, 0.492431640625, 0.86376953125, 0.09967041015625, -0.2265625, 0.91015625, 0.355224609375, 0.28564453125, 0.65673828125, 0.51904296875, 0.2032470703125, -0.56005859375, 0.304931640625, 0.25927734375, 0.1201171875, -0.4755859375, -0.5390625, -0.65771484375, 0.457275390625, -0.357421875, -0.434814453125, 0.297119140625, -0.728515625, 0.1104736328125, -0.469970703125, 0.65771484375, -0.4638671875, 0.4033203125, 0.09674072265625, -0.57470703125, -0.548828125, 0.873046875, -0.216796875, 0.55517578125, 0.0938720703125, 1.3583984375, 0.11016845703125, 1.287109375, 0.541015625, -0.2138671875, 0.09893798828125, 0.38671875, -0.283203125, -0.56591796875, -0.154296875, -0.324951171875, -0.043365478515625, -0.609375, -0.4736328125, -0.2333984375, 0.875, 0.09991455078125, -0.9111328125, -0.04998779296875, 0.1611328125, -0.87060546875, 0.51123046875, -0.040771484375, 0.388427734375, 0.1024169921875, 0.3271484375, 0.01190185546875, -1.1787109375, -0.056427001953125, -0.6650390625, 0.475341796875, -0.63916015625, -0.5537109375, -0.31494140625, -0.70751953125, -0.267578125, -0.351318359375, -0.2325439453125, -0.53857421875, 0.63818359375, 0.375, 0.330078125, 0.28076171875, -0.5615234375, 0.2193603515625, 0.8330078125, 0.96923828125, -0.0421142578125, 0.453125, 0.51171875, -0.484130859375, -0.0948486328125, -0.75830078125, 0.3818359375, -0.044769287109375, 0.29345703125, -0.55859375, 0.14453125, -0.60009765625, -1.267578125, -0.23681640625, 0.67236328125, 0.63671875, -0.619140625, -1.2451171875, -0.350341796875, -1.1455078125, -0.35400390625, -0.64697265625, 0.395751953125, -0.0343017578125, 0.59619140625, 0.371337890625, -1.1171875, 4.46484375, 0.94140625, 0.94091796875, 0.354736328125, 0.5107421875, 1.3857421875, 0.330322265625, -0.55712890625, -0.1392822265625, -0.76904296875, 0.58056640625, -0.1478271484375, 0.1478271484375, 0.99365234375, -0.1207275390625, 0.705078125, -1.0224609375, -0.2447509765625, -0.2022705078125, -1.162109375, -0.69873046875, -0.2398681640625, 0.073974609375, 0.42236328125, 0.040985107421875, 0.2379150390625, 0.3369140625, -0.87890625, -0.14892578125, -0.4375, -0.212646484375, -0.367919921875, 0.974609375, 0.262451171875, -0.30029296875, 0.509765625, -0.146484375, -0.295166015625, 0.163818359375, 0.07818603515625, 0.11456298828125, 0.06378173828125, 0.337646484375, -0.476806640625, -0.0755615234375, 0.7001953125, -0.45458984375, 0.05316162109375, -0.140869140625, -0.8115234375, 0.62744140625, -0.0208892822265625, 0.6357421875, -0.416259765625, -0.74560546875, 0.1990966796875, 0.297119140625, 0.218505859375, -0.513671875, 0.3056640625, 0.30224609375, 0.51806640625, -0.04150390625, 0.347412109375, -1.0009765625, 1.283203125, -0.028564453125, 0.251220703125, -0.71484375, 0.1148681640625, -0.281005859375, -0.2841796875, -0.392333984375, -0.1412353515625, 0.85205078125, 0.1575927734375, -0.12078857421875, 0.51708984375, 0.41796875, -0.336669921875, 0.3603515625, -0.54931640625, -0.568359375, -0.18896484375, 0.6298828125, 1.03125, -0.497802734375, -0.01045989990234375, 0.1363525390625, 0.7548828125, 0.4208984375, 0.7265625, 0.031524658203125, -0.7177734375, -0.357421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Tags: constructive algorithms, hashing, strings Correct Solution: ``` from sys import * s = input(); def check(t): return (t == t[::-1]) and (t != s) for i in range(1, len(s)): t = s[i:] + s[:i] if check(t): print("1") exit() for i in range(1, len(s)//2 + (len(s)%2)): t = s[-i:] + s[i:-i] + s[:i] if check(t): print("2") exit() print("Impossible") ```
7,602
[ 0.0845947265625, -0.4052734375, -0.171630859375, -0.29541015625, -0.5087890625, -0.57666015625, 0.1383056640625, -0.236083984375, -0.08819580078125, 0.64453125, 0.96728515625, -0.37255859375, 0.2978515625, -0.77685546875, -0.75146484375, 0.22802734375, -0.94677734375, -0.810546875, -0.50146484375, -0.40283203125, 0.2039794921875, -0.0380859375, -1.455078125, -0.12261962890625, -0.04638671875, 0.7177734375, 0.64404296875, 0.2353515625, 0.94580078125, 0.9267578125, 0.055145263671875, 0.006282806396484375, 0.736328125, -0.8173828125, -0.10687255859375, -0.12939453125, 0.19873046875, -0.5732421875, -0.4384765625, -0.452880859375, 0.2105712890625, -0.447265625, 0.6376953125, -0.77734375, -1.1298828125, 0.446533203125, -0.60986328125, -0.52392578125, -0.6572265625, -1.11328125, -0.071533203125, -0.291015625, 0.1746826171875, 0.04669189453125, 0.306640625, -0.1171875, 0.2174072265625, 0.228271484375, -0.50634765625, 0.412841796875, 0.2283935546875, 0.028594970703125, -0.417236328125, -0.71484375, -0.402587890625, -0.06793212890625, -0.197021484375, 0.0011529922485351562, 0.477783203125, -1.041015625, -0.1334228515625, 0.51611328125, -0.2230224609375, -0.69140625, -0.5400390625, 0.10430908203125, 0.0986328125, 0.1385498046875, -0.476318359375, 0.8642578125, 0.0986328125, 1.0966796875, -0.045440673828125, 0.2412109375, -0.3271484375, -0.65283203125, 0.1710205078125, 0.26025390625, 0.07861328125, -0.1414794921875, -0.196533203125, 0.70654296875, -0.162353515625, 0.08843994140625, 0.353271484375, 0.6669921875, -0.09832763671875, 0.58349609375, 0.0228118896484375, 0.23779296875, 0.75927734375, 0.94189453125, -0.349853515625, 0.5625, -0.39599609375, -0.1297607421875, 0.0179290771484375, 0.1278076171875, 0.1810302734375, -0.334716796875, 0.150390625, -0.385498046875, 0.57568359375, 0.2822265625, 0.261474609375, 0.386474609375, -0.05682373046875, 0.40283203125, -0.89111328125, 0.359130859375, 0.376953125, 0.1832275390625, 0.25732421875, -0.2705078125, 0.1741943359375, -0.09716796875, -0.318359375, 1.0830078125, -0.65966796875, 0.064208984375, 0.595703125, 0.0055084228515625, -0.043853759765625, 0.1854248046875, -0.08026123046875, 0.6396484375, 0.04547119140625, 0.515625, 0.38134765625, -0.74267578125, 0.63818359375, -0.06573486328125, -0.1405029296875, 1.50390625, 0.42138671875, -0.061920166015625, 0.92041015625, 0.262451171875, -0.953125, 0.64453125, -0.740234375, 0.6171875, 0.391845703125, 0.017242431640625, -0.1875, 0.2137451171875, -0.06573486328125, 0.448486328125, -0.01139068603515625, 0.145751953125, -0.08587646484375, 0.495849609375, -0.1810302734375, 0.8466796875, -0.0063323974609375, 0.88818359375, -0.52783203125, -0.62353515625, -0.1832275390625, -0.5029296875, 0.145751953125, 0.1307373046875, -0.11822509765625, 0.9560546875, 0.64794921875, 0.865234375, 0.884765625, -0.31884765625, 0.35791015625, 0.427734375, -0.32080078125, 0.62353515625, 0.31396484375, 0.640625, -0.06182861328125, 0.295654296875, -0.1759033203125, -0.2144775390625, -0.371826171875, -0.23876953125, 0.117919921875, 0.556640625, -0.28515625, 0.1998291015625, 0.327880859375, 0.11773681640625, -1.0126953125, -0.33544921875, 0.2481689453125, -1.162109375, -0.1802978515625, 0.91650390625, -0.2413330078125, 0.57373046875, -0.342041015625, -0.39208984375, 0.75048828125, 1.3349609375, -0.255126953125, -0.029571533203125, 0.261962890625, 0.0234527587890625, -0.12213134765625, 0.09381103515625, -0.1231689453125, -0.1683349609375, -0.751953125, 0.83349609375, -0.269287109375, -0.1351318359375, -0.197509765625, 1.0205078125, 0.174560546875, 0.5244140625, -0.69873046875, -0.3291015625, 0.4990234375, 1.328125, 0.0140380859375, -0.11126708984375, 0.13720703125, 0.6435546875, 0.407958984375, 0.63916015625, 0.42333984375, 0.03302001953125, 0.5595703125, 0.63330078125, -0.07757568359375, -0.05670166015625, 0.18212890625, 0.281005859375, 0.736328125, 0.380615234375, 0.40869140625, 0.650390625, -0.28125, -0.0946044921875, -0.248779296875, 0.314697265625, -0.202392578125, 0.755859375, 0.51513671875, 0.1165771484375, -0.56103515625, -0.10321044921875, 0.427734375, 0.63623046875, -0.62353515625, -0.921875, -0.0037975311279296875, 0.08428955078125, 0.52783203125, -0.125, 0.303466796875, 0.2061767578125, 0.374755859375, 0.6875, 0.03985595703125, -0.701171875, -0.859375, -1.1337890625, -0.68212890625, -0.395263671875, -0.5498046875, -0.1741943359375, 0.494384765625, -1.078125, 0.11767578125, 0.1033935546875, -0.101318359375, -0.046722412109375, -0.66259765625, 0.492919921875, -0.17578125, 0.83837890625, -0.261962890625, 0.99658203125, -0.0258331298828125, 1.0869140625, -0.302001953125, -0.1944580078125, -0.142822265625, -0.47314453125, 0.322998046875, 0.11383056640625, 0.5576171875, -0.2113037109375, -0.60986328125, -1.134765625, -0.272705078125, -0.19287109375, -0.357421875, 0.23876953125, -0.56787109375, 0.73681640625, 0.6484375, -0.5107421875, 0.437744140625, 0.84765625, -0.68212890625, 0.36083984375, 0.00461578369140625, -0.251953125, -0.75146484375, 1.2646484375, 0.293212890625, 0.346435546875, -0.47998046875, -1.0283203125, -0.412841796875, 0.0283355712890625, 0.2032470703125, -0.6181640625, -0.26513671875, 0.60693359375, 0.1400146484375, -0.85107421875, 0.69384765625, -1.0380859375, -0.7607421875, -0.1571044921875, -0.87890625, 0.68359375, 0.96240234375, -0.1409912109375, -0.10504150390625, -0.472412109375, -0.00879669189453125, 0.8046875, 0.281494140625, -0.446044921875, -0.1851806640625, 0.36083984375, -0.041351318359375, 0.143310546875, 0.238037109375, -0.443603515625, -0.270263671875, -0.041748046875, 0.2293701171875, 0.495849609375, 0.28857421875, 0.71435546875, 0.303955078125, 0.85986328125, -0.81640625, -0.4638671875, 0.04150390625, 0.5830078125, 0.03826904296875, 0.51904296875, -0.00963592529296875, -0.46533203125, -0.90185546875, -1.1416015625, 0.113037109375, 0.42626953125, 0.73974609375, -0.430908203125, 0.86669921875, -0.040374755859375, -0.5419921875, 0.48193359375, -0.88525390625, -0.0006470680236816406, 1.0078125, -0.472900390625, 0.86279296875, -0.515625, 0.53564453125, -0.007701873779296875, 0.2484130859375, 0.078857421875, 0.1534423828125, 0.430419921875, -0.250732421875, -0.845703125, -0.25, 0.053314208984375, -0.070068359375, -0.28271484375, 0.4248046875, -0.6025390625, -0.537109375, -0.59326171875, 0.70751953125, 0.513671875, 0.478759765625, -0.037078857421875, 0.505859375, 0.468505859375, 0.630859375, 0.483642578125, -0.2471923828125, 0.049072265625, -0.6513671875, 1.32421875, 0.1810302734375, -0.34228515625, -0.1341552734375, -0.06072998046875, -0.427490234375, -0.085693359375, 0.1829833984375, -0.0202484130859375, -1.0810546875, 0.2154541015625, 0.031524658203125, 1.0283203125, -0.3369140625, -0.307373046875, -0.17333984375, 0.259765625, 0.17724609375, -0.865234375, -0.06378173828125, -0.6875, 0.69140625, 0.29052734375, -0.17138671875, -0.415283203125, -0.4736328125, -0.85546875, -0.57568359375, 0.0199127197265625, 0.73486328125, 0.11767578125, 0.20849609375, -1.2880859375, 0.724609375, 0.2164306640625, -0.325439453125, 0.1845703125, -0.1466064453125, 0.5771484375, -0.39697265625, 0.62451171875, -0.2274169921875, -0.75, 0.118408203125, -1.25, 0.461181640625, -0.148681640625, 0.384521484375, -0.1070556640625, -0.5966796875, 0.125244140625, 0.279296875, -0.327392578125, 0.310791015625, -0.2161865234375, 0.472412109375, -0.859375, -0.63232421875, 0.26318359375, -0.414794921875, -0.224365234375, 0.6767578125, 0.255126953125, -0.168212890625, 0.0462646484375, 0.381103515625, -0.1529541015625, 0.339599609375, -0.66259765625, 0.6337890625, -0.288330078125, -0.51025390625, 0.0345458984375, -0.458251953125, 0.7392578125, -0.141845703125, -0.734375, -0.343994140625, -1.2724609375, -0.188232421875, -0.2235107421875, -0.2205810546875, 0.27392578125, 0.134765625, -0.48681640625, -0.0310821533203125, -0.4755859375, -0.037445068359375, -0.452880859375, -0.62158203125, -0.6494140625, 0.38134765625, 0.53857421875, 0.5634765625, 0.076904296875, -0.348876953125, -0.06646728515625, 0.048828125, 0.1292724609375, -0.354736328125, -0.317626953125, -0.286376953125, -0.427490234375, -0.0560302734375, 0.08349609375, 0.152099609375, 0.46923828125, 0.67578125, 0.07037353515625, 0.65625, 0.53955078125, -0.45703125, 0.92333984375, 0.1922607421875, -1.2490234375, -0.58935546875, 0.6376953125, -0.01433563232421875, 0.5341796875, -0.0556640625, -0.87646484375, -0.87890625, -0.64013671875, 0.23291015625, -0.919921875, -0.480712890625, -0.90771484375, -0.10601806640625, -0.295654296875, 0.6123046875, -0.35791015625, -0.74560546875, 0.2568359375, -0.87744140625, 0.52880859375, -0.693359375, -0.349853515625, -0.869140625, -0.368896484375, -0.2174072265625, 1.03125, 0.10992431640625, 0.328857421875, 0.0438232421875, -0.392822265625, 0.042938232421875, -0.294677734375, -0.67529296875, -0.35693359375, 0.011993408203125, 0.0159454345703125, -0.11334228515625, -0.367431640625, -0.5126953125, 0.76806640625, -0.86865234375, 0.2763671875, -0.470458984375, -0.296142578125, -0.03009033203125, -0.2115478515625, 0.89013671875, -0.39453125, 0.222900390625, -0.11004638671875, 0.498291015625, 1.0244140625, -0.28857421875, -0.332275390625, -0.76123046875, -0.7041015625, -0.90283203125, 0.6142578125, -0.65966796875, 0.1051025390625, -1, -0.315185546875, 0.8857421875, -0.47705078125, 0.25341796875, 0.833984375, 0.08599853515625, 0.1732177734375, -0.724609375, 0.6328125, 0.455078125, -0.380126953125, -0.20166015625, 0.049346923828125, -0.29150390625, 0.292236328125, 0.100341796875, -1.0244140625, -0.8818359375, 0.5498046875, 0.98828125, -0.53076171875, 0.8310546875, 0.214599609375, -1.0517578125, -0.533203125, 0.7216796875, 0.00800323486328125, 0.1263427734375, 0.962890625, -0.20361328125, -0.1934814453125, 0.2391357421875, -0.08758544921875, -0.332763671875, -0.437255859375, 0.84912109375, -0.5126953125, -0.387939453125, 0.8828125, 0.87158203125, -1.1435546875, -0.88330078125, -0.448974609375, 0.02691650390625, -0.093505859375, -0.76953125, -0.10235595703125, 0.485107421875, -0.6943359375, 0.07470703125, 0.515625, -0.065185546875, 0.44384765625, 0.189453125, 0.2410888671875, -0.42138671875, 0.5732421875, 0.62890625, -0.363525390625, -0.61376953125, -0.95849609375, -0.339599609375, -0.62451171875, 0.1435546875, 0.54931640625, -0.23291015625, 0.341552734375, 0.409912109375, 0.28857421875, 0.63818359375, -0.490966796875, -0.384521484375, 0.40283203125, -0.87109375, -0.274169921875, -0.2734375, 0.414306640625, -0.1744384765625, 0.337646484375, -0.47216796875, 0.0343017578125, 0.27587890625, 0.58740234375, -0.142578125, -0.77392578125, -0.02813720703125, -1.0224609375, -0.61083984375, -0.60546875, -0.609375, 0.02374267578125, 0.1326904296875, -0.607421875, -0.75732421875, 0.06884765625, 0.35546875, -0.7197265625, 1.0380859375, -0.32177734375, 0.269775390625, -0.70947265625, -0.287109375, -0.60400390625, -0.5107421875, -0.469970703125, -0.1776123046875, -0.65673828125, 0.493408203125, -0.2127685546875, 0.47509765625, -0.045806884765625, 0.2022705078125, 0.0156402587890625, -0.53955078125, -0.036346435546875, 0.12396240234375, 0.1370849609375, 0.8837890625, 0.63623046875, -0.00843048095703125, 0.41162109375, -0.25830078125, -0.693359375, -0.3505859375, 0.47509765625, 0.74365234375, -0.0228729248046875, -0.1676025390625, -0.5439453125, -0.01486968994140625, -1.2255859375, 0.496337890625, -0.458740234375, 0.46533203125, 0.39501953125, 0.09600830078125, 0.576171875, 1.224609375, -0.032073974609375, 0.302978515625, 0.42919921875, 0.427978515625, 0.34228515625, -0.06365966796875, -0.072509765625, 0.908203125, 0.0858154296875, -0.419189453125, -0.04693603515625, 0.1790771484375, 0.77685546875, 0.29345703125, -0.34814453125, -0.552734375, -0.8291015625, 0.004261016845703125, 0.234130859375, 0.309326171875, 1.0166015625, -0.59619140625, -0.1669921875, -0.63623046875, -0.68212890625, -0.077392578125, -0.9794921875, -0.78173828125, 0.288818359375, 0.049957275390625, -0.3876953125, -0.10357666015625, -0.3095703125, -0.7548828125, -0.074951171875, 0.4111328125, -0.446044921875, 0.65283203125, -0.375244140625, 0.71875, -0.193359375, 0.231689453125, 0.2333984375, 0.654296875, -0.429931640625, -0.48583984375, -0.2408447265625, 1.3369140625, 0.28662109375, 0.129638671875, -0.346435546875, 0.2388916015625, -0.2310791015625, 0.2215576171875, -0.3447265625, -0.0182342529296875, -0.15576171875, 0.87255859375, -0.814453125, 0.0015201568603515625, -0.0745849609375, 0.1551513671875, 0.1864013671875, -0.491943359375, -0.6220703125, 0.91552734375, 0.69970703125, -0.10009765625, 0.384521484375, 0.30126953125, 0.06939697265625, -0.00873565673828125, -0.172607421875, -0.279541015625, 0.285400390625, 0.53173828125, 0.525390625, -0.3447265625, 0.39208984375, 0.40771484375, -0.21923828125, -0.2196044921875, -0.020965576171875, 0.350830078125, -0.0655517578125, 0.327880859375, -0.1387939453125, -0.09765625, 0.171630859375, -0.60546875, 0.3251953125, -0.1524658203125, 0.12005615234375, -0.332275390625, -0.50634765625, 0.71337890625, -0.392333984375, -0.1607666015625, 0.0465087890625, -0.744140625, 0.492431640625, 0.86376953125, 0.09967041015625, -0.2265625, 0.91015625, 0.355224609375, 0.28564453125, 0.65673828125, 0.51904296875, 0.2032470703125, -0.56005859375, 0.304931640625, 0.25927734375, 0.1201171875, -0.4755859375, -0.5390625, -0.65771484375, 0.457275390625, -0.357421875, -0.434814453125, 0.297119140625, -0.728515625, 0.1104736328125, -0.469970703125, 0.65771484375, -0.4638671875, 0.4033203125, 0.09674072265625, -0.57470703125, -0.548828125, 0.873046875, -0.216796875, 0.55517578125, 0.0938720703125, 1.3583984375, 0.11016845703125, 1.287109375, 0.541015625, -0.2138671875, 0.09893798828125, 0.38671875, -0.283203125, -0.56591796875, -0.154296875, -0.324951171875, -0.043365478515625, -0.609375, -0.4736328125, -0.2333984375, 0.875, 0.09991455078125, -0.9111328125, -0.04998779296875, 0.1611328125, -0.87060546875, 0.51123046875, -0.040771484375, 0.388427734375, 0.1024169921875, 0.3271484375, 0.01190185546875, -1.1787109375, -0.056427001953125, -0.6650390625, 0.475341796875, -0.63916015625, -0.5537109375, -0.31494140625, -0.70751953125, -0.267578125, -0.351318359375, -0.2325439453125, -0.53857421875, 0.63818359375, 0.375, 0.330078125, 0.28076171875, -0.5615234375, 0.2193603515625, 0.8330078125, 0.96923828125, -0.0421142578125, 0.453125, 0.51171875, -0.484130859375, -0.0948486328125, -0.75830078125, 0.3818359375, -0.044769287109375, 0.29345703125, -0.55859375, 0.14453125, -0.60009765625, -1.267578125, -0.23681640625, 0.67236328125, 0.63671875, -0.619140625, -1.2451171875, -0.350341796875, -1.1455078125, -0.35400390625, -0.64697265625, 0.395751953125, -0.0343017578125, 0.59619140625, 0.371337890625, -1.1171875, 4.46484375, 0.94140625, 0.94091796875, 0.354736328125, 0.5107421875, 1.3857421875, 0.330322265625, -0.55712890625, -0.1392822265625, -0.76904296875, 0.58056640625, -0.1478271484375, 0.1478271484375, 0.99365234375, -0.1207275390625, 0.705078125, -1.0224609375, -0.2447509765625, -0.2022705078125, -1.162109375, -0.69873046875, -0.2398681640625, 0.073974609375, 0.42236328125, 0.040985107421875, 0.2379150390625, 0.3369140625, -0.87890625, -0.14892578125, -0.4375, -0.212646484375, -0.367919921875, 0.974609375, 0.262451171875, -0.30029296875, 0.509765625, -0.146484375, -0.295166015625, 0.163818359375, 0.07818603515625, 0.11456298828125, 0.06378173828125, 0.337646484375, -0.476806640625, -0.0755615234375, 0.7001953125, -0.45458984375, 0.05316162109375, -0.140869140625, -0.8115234375, 0.62744140625, -0.0208892822265625, 0.6357421875, -0.416259765625, -0.74560546875, 0.1990966796875, 0.297119140625, 0.218505859375, -0.513671875, 0.3056640625, 0.30224609375, 0.51806640625, -0.04150390625, 0.347412109375, -1.0009765625, 1.283203125, -0.028564453125, 0.251220703125, -0.71484375, 0.1148681640625, -0.281005859375, -0.2841796875, -0.392333984375, -0.1412353515625, 0.85205078125, 0.1575927734375, -0.12078857421875, 0.51708984375, 0.41796875, -0.336669921875, 0.3603515625, -0.54931640625, -0.568359375, -0.18896484375, 0.6298828125, 1.03125, -0.497802734375, -0.01045989990234375, 0.1363525390625, 0.7548828125, 0.4208984375, 0.7265625, 0.031524658203125, -0.7177734375, -0.357421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Tags: constructive algorithms, hashing, strings Correct Solution: ``` s = input() l = len(s) c = s[0] diff = False for i in range(0,int(l/2)): if s[i] != c: diff = True if not diff: print('Impossible') exit() s_2 = s + s for i in range(1,l): is_palendrome = True for j in range(int(l/2)): if s_2[j + i] != s_2[i + l - j-1]: is_palendrome = False if is_palendrome and s_2[i:i+l] != s: print(1) exit() print(2) ```
7,603
[ 0.0845947265625, -0.4052734375, -0.171630859375, -0.29541015625, -0.5087890625, -0.57666015625, 0.1383056640625, -0.236083984375, -0.08819580078125, 0.64453125, 0.96728515625, -0.37255859375, 0.2978515625, -0.77685546875, -0.75146484375, 0.22802734375, -0.94677734375, -0.810546875, -0.50146484375, -0.40283203125, 0.2039794921875, -0.0380859375, -1.455078125, -0.12261962890625, -0.04638671875, 0.7177734375, 0.64404296875, 0.2353515625, 0.94580078125, 0.9267578125, 0.055145263671875, 0.006282806396484375, 0.736328125, -0.8173828125, -0.10687255859375, -0.12939453125, 0.19873046875, -0.5732421875, -0.4384765625, -0.452880859375, 0.2105712890625, -0.447265625, 0.6376953125, -0.77734375, -1.1298828125, 0.446533203125, -0.60986328125, -0.52392578125, -0.6572265625, -1.11328125, -0.071533203125, -0.291015625, 0.1746826171875, 0.04669189453125, 0.306640625, -0.1171875, 0.2174072265625, 0.228271484375, -0.50634765625, 0.412841796875, 0.2283935546875, 0.028594970703125, -0.417236328125, -0.71484375, -0.402587890625, -0.06793212890625, -0.197021484375, 0.0011529922485351562, 0.477783203125, -1.041015625, -0.1334228515625, 0.51611328125, -0.2230224609375, -0.69140625, -0.5400390625, 0.10430908203125, 0.0986328125, 0.1385498046875, -0.476318359375, 0.8642578125, 0.0986328125, 1.0966796875, -0.045440673828125, 0.2412109375, -0.3271484375, -0.65283203125, 0.1710205078125, 0.26025390625, 0.07861328125, -0.1414794921875, -0.196533203125, 0.70654296875, -0.162353515625, 0.08843994140625, 0.353271484375, 0.6669921875, -0.09832763671875, 0.58349609375, 0.0228118896484375, 0.23779296875, 0.75927734375, 0.94189453125, -0.349853515625, 0.5625, -0.39599609375, -0.1297607421875, 0.0179290771484375, 0.1278076171875, 0.1810302734375, -0.334716796875, 0.150390625, -0.385498046875, 0.57568359375, 0.2822265625, 0.261474609375, 0.386474609375, -0.05682373046875, 0.40283203125, -0.89111328125, 0.359130859375, 0.376953125, 0.1832275390625, 0.25732421875, -0.2705078125, 0.1741943359375, -0.09716796875, -0.318359375, 1.0830078125, -0.65966796875, 0.064208984375, 0.595703125, 0.0055084228515625, -0.043853759765625, 0.1854248046875, -0.08026123046875, 0.6396484375, 0.04547119140625, 0.515625, 0.38134765625, -0.74267578125, 0.63818359375, -0.06573486328125, -0.1405029296875, 1.50390625, 0.42138671875, -0.061920166015625, 0.92041015625, 0.262451171875, -0.953125, 0.64453125, -0.740234375, 0.6171875, 0.391845703125, 0.017242431640625, -0.1875, 0.2137451171875, -0.06573486328125, 0.448486328125, -0.01139068603515625, 0.145751953125, -0.08587646484375, 0.495849609375, -0.1810302734375, 0.8466796875, -0.0063323974609375, 0.88818359375, -0.52783203125, -0.62353515625, -0.1832275390625, -0.5029296875, 0.145751953125, 0.1307373046875, -0.11822509765625, 0.9560546875, 0.64794921875, 0.865234375, 0.884765625, -0.31884765625, 0.35791015625, 0.427734375, -0.32080078125, 0.62353515625, 0.31396484375, 0.640625, -0.06182861328125, 0.295654296875, -0.1759033203125, -0.2144775390625, -0.371826171875, -0.23876953125, 0.117919921875, 0.556640625, -0.28515625, 0.1998291015625, 0.327880859375, 0.11773681640625, -1.0126953125, -0.33544921875, 0.2481689453125, -1.162109375, -0.1802978515625, 0.91650390625, -0.2413330078125, 0.57373046875, -0.342041015625, -0.39208984375, 0.75048828125, 1.3349609375, -0.255126953125, -0.029571533203125, 0.261962890625, 0.0234527587890625, -0.12213134765625, 0.09381103515625, -0.1231689453125, -0.1683349609375, -0.751953125, 0.83349609375, -0.269287109375, -0.1351318359375, -0.197509765625, 1.0205078125, 0.174560546875, 0.5244140625, -0.69873046875, -0.3291015625, 0.4990234375, 1.328125, 0.0140380859375, -0.11126708984375, 0.13720703125, 0.6435546875, 0.407958984375, 0.63916015625, 0.42333984375, 0.03302001953125, 0.5595703125, 0.63330078125, -0.07757568359375, -0.05670166015625, 0.18212890625, 0.281005859375, 0.736328125, 0.380615234375, 0.40869140625, 0.650390625, -0.28125, -0.0946044921875, -0.248779296875, 0.314697265625, -0.202392578125, 0.755859375, 0.51513671875, 0.1165771484375, -0.56103515625, -0.10321044921875, 0.427734375, 0.63623046875, -0.62353515625, -0.921875, -0.0037975311279296875, 0.08428955078125, 0.52783203125, -0.125, 0.303466796875, 0.2061767578125, 0.374755859375, 0.6875, 0.03985595703125, -0.701171875, -0.859375, -1.1337890625, -0.68212890625, -0.395263671875, -0.5498046875, -0.1741943359375, 0.494384765625, -1.078125, 0.11767578125, 0.1033935546875, -0.101318359375, -0.046722412109375, -0.66259765625, 0.492919921875, -0.17578125, 0.83837890625, -0.261962890625, 0.99658203125, -0.0258331298828125, 1.0869140625, -0.302001953125, -0.1944580078125, -0.142822265625, -0.47314453125, 0.322998046875, 0.11383056640625, 0.5576171875, -0.2113037109375, -0.60986328125, -1.134765625, -0.272705078125, -0.19287109375, -0.357421875, 0.23876953125, -0.56787109375, 0.73681640625, 0.6484375, -0.5107421875, 0.437744140625, 0.84765625, -0.68212890625, 0.36083984375, 0.00461578369140625, -0.251953125, -0.75146484375, 1.2646484375, 0.293212890625, 0.346435546875, -0.47998046875, -1.0283203125, -0.412841796875, 0.0283355712890625, 0.2032470703125, -0.6181640625, -0.26513671875, 0.60693359375, 0.1400146484375, -0.85107421875, 0.69384765625, -1.0380859375, -0.7607421875, -0.1571044921875, -0.87890625, 0.68359375, 0.96240234375, -0.1409912109375, -0.10504150390625, -0.472412109375, -0.00879669189453125, 0.8046875, 0.281494140625, -0.446044921875, -0.1851806640625, 0.36083984375, -0.041351318359375, 0.143310546875, 0.238037109375, -0.443603515625, -0.270263671875, -0.041748046875, 0.2293701171875, 0.495849609375, 0.28857421875, 0.71435546875, 0.303955078125, 0.85986328125, -0.81640625, -0.4638671875, 0.04150390625, 0.5830078125, 0.03826904296875, 0.51904296875, -0.00963592529296875, -0.46533203125, -0.90185546875, -1.1416015625, 0.113037109375, 0.42626953125, 0.73974609375, -0.430908203125, 0.86669921875, -0.040374755859375, -0.5419921875, 0.48193359375, -0.88525390625, -0.0006470680236816406, 1.0078125, -0.472900390625, 0.86279296875, -0.515625, 0.53564453125, -0.007701873779296875, 0.2484130859375, 0.078857421875, 0.1534423828125, 0.430419921875, -0.250732421875, -0.845703125, -0.25, 0.053314208984375, -0.070068359375, -0.28271484375, 0.4248046875, -0.6025390625, -0.537109375, -0.59326171875, 0.70751953125, 0.513671875, 0.478759765625, -0.037078857421875, 0.505859375, 0.468505859375, 0.630859375, 0.483642578125, -0.2471923828125, 0.049072265625, -0.6513671875, 1.32421875, 0.1810302734375, -0.34228515625, -0.1341552734375, -0.06072998046875, -0.427490234375, -0.085693359375, 0.1829833984375, -0.0202484130859375, -1.0810546875, 0.2154541015625, 0.031524658203125, 1.0283203125, -0.3369140625, -0.307373046875, -0.17333984375, 0.259765625, 0.17724609375, -0.865234375, -0.06378173828125, -0.6875, 0.69140625, 0.29052734375, -0.17138671875, -0.415283203125, -0.4736328125, -0.85546875, -0.57568359375, 0.0199127197265625, 0.73486328125, 0.11767578125, 0.20849609375, -1.2880859375, 0.724609375, 0.2164306640625, -0.325439453125, 0.1845703125, -0.1466064453125, 0.5771484375, -0.39697265625, 0.62451171875, -0.2274169921875, -0.75, 0.118408203125, -1.25, 0.461181640625, -0.148681640625, 0.384521484375, -0.1070556640625, -0.5966796875, 0.125244140625, 0.279296875, -0.327392578125, 0.310791015625, -0.2161865234375, 0.472412109375, -0.859375, -0.63232421875, 0.26318359375, -0.414794921875, -0.224365234375, 0.6767578125, 0.255126953125, -0.168212890625, 0.0462646484375, 0.381103515625, -0.1529541015625, 0.339599609375, -0.66259765625, 0.6337890625, -0.288330078125, -0.51025390625, 0.0345458984375, -0.458251953125, 0.7392578125, -0.141845703125, -0.734375, -0.343994140625, -1.2724609375, -0.188232421875, -0.2235107421875, -0.2205810546875, 0.27392578125, 0.134765625, -0.48681640625, -0.0310821533203125, -0.4755859375, -0.037445068359375, -0.452880859375, -0.62158203125, -0.6494140625, 0.38134765625, 0.53857421875, 0.5634765625, 0.076904296875, -0.348876953125, -0.06646728515625, 0.048828125, 0.1292724609375, -0.354736328125, -0.317626953125, -0.286376953125, -0.427490234375, -0.0560302734375, 0.08349609375, 0.152099609375, 0.46923828125, 0.67578125, 0.07037353515625, 0.65625, 0.53955078125, -0.45703125, 0.92333984375, 0.1922607421875, -1.2490234375, -0.58935546875, 0.6376953125, -0.01433563232421875, 0.5341796875, -0.0556640625, -0.87646484375, -0.87890625, -0.64013671875, 0.23291015625, -0.919921875, -0.480712890625, -0.90771484375, -0.10601806640625, -0.295654296875, 0.6123046875, -0.35791015625, -0.74560546875, 0.2568359375, -0.87744140625, 0.52880859375, -0.693359375, -0.349853515625, -0.869140625, -0.368896484375, -0.2174072265625, 1.03125, 0.10992431640625, 0.328857421875, 0.0438232421875, -0.392822265625, 0.042938232421875, -0.294677734375, -0.67529296875, -0.35693359375, 0.011993408203125, 0.0159454345703125, -0.11334228515625, -0.367431640625, -0.5126953125, 0.76806640625, -0.86865234375, 0.2763671875, -0.470458984375, -0.296142578125, -0.03009033203125, -0.2115478515625, 0.89013671875, -0.39453125, 0.222900390625, -0.11004638671875, 0.498291015625, 1.0244140625, -0.28857421875, -0.332275390625, -0.76123046875, -0.7041015625, -0.90283203125, 0.6142578125, -0.65966796875, 0.1051025390625, -1, -0.315185546875, 0.8857421875, -0.47705078125, 0.25341796875, 0.833984375, 0.08599853515625, 0.1732177734375, -0.724609375, 0.6328125, 0.455078125, -0.380126953125, -0.20166015625, 0.049346923828125, -0.29150390625, 0.292236328125, 0.100341796875, -1.0244140625, -0.8818359375, 0.5498046875, 0.98828125, -0.53076171875, 0.8310546875, 0.214599609375, -1.0517578125, -0.533203125, 0.7216796875, 0.00800323486328125, 0.1263427734375, 0.962890625, -0.20361328125, -0.1934814453125, 0.2391357421875, -0.08758544921875, -0.332763671875, -0.437255859375, 0.84912109375, -0.5126953125, -0.387939453125, 0.8828125, 0.87158203125, -1.1435546875, -0.88330078125, -0.448974609375, 0.02691650390625, -0.093505859375, -0.76953125, -0.10235595703125, 0.485107421875, -0.6943359375, 0.07470703125, 0.515625, -0.065185546875, 0.44384765625, 0.189453125, 0.2410888671875, -0.42138671875, 0.5732421875, 0.62890625, -0.363525390625, -0.61376953125, -0.95849609375, -0.339599609375, -0.62451171875, 0.1435546875, 0.54931640625, -0.23291015625, 0.341552734375, 0.409912109375, 0.28857421875, 0.63818359375, -0.490966796875, -0.384521484375, 0.40283203125, -0.87109375, -0.274169921875, -0.2734375, 0.414306640625, -0.1744384765625, 0.337646484375, -0.47216796875, 0.0343017578125, 0.27587890625, 0.58740234375, -0.142578125, -0.77392578125, -0.02813720703125, -1.0224609375, -0.61083984375, -0.60546875, -0.609375, 0.02374267578125, 0.1326904296875, -0.607421875, -0.75732421875, 0.06884765625, 0.35546875, -0.7197265625, 1.0380859375, -0.32177734375, 0.269775390625, -0.70947265625, -0.287109375, -0.60400390625, -0.5107421875, -0.469970703125, -0.1776123046875, -0.65673828125, 0.493408203125, -0.2127685546875, 0.47509765625, -0.045806884765625, 0.2022705078125, 0.0156402587890625, -0.53955078125, -0.036346435546875, 0.12396240234375, 0.1370849609375, 0.8837890625, 0.63623046875, -0.00843048095703125, 0.41162109375, -0.25830078125, -0.693359375, -0.3505859375, 0.47509765625, 0.74365234375, -0.0228729248046875, -0.1676025390625, -0.5439453125, -0.01486968994140625, -1.2255859375, 0.496337890625, -0.458740234375, 0.46533203125, 0.39501953125, 0.09600830078125, 0.576171875, 1.224609375, -0.032073974609375, 0.302978515625, 0.42919921875, 0.427978515625, 0.34228515625, -0.06365966796875, -0.072509765625, 0.908203125, 0.0858154296875, -0.419189453125, -0.04693603515625, 0.1790771484375, 0.77685546875, 0.29345703125, -0.34814453125, -0.552734375, -0.8291015625, 0.004261016845703125, 0.234130859375, 0.309326171875, 1.0166015625, -0.59619140625, -0.1669921875, -0.63623046875, -0.68212890625, -0.077392578125, -0.9794921875, -0.78173828125, 0.288818359375, 0.049957275390625, -0.3876953125, -0.10357666015625, -0.3095703125, -0.7548828125, -0.074951171875, 0.4111328125, -0.446044921875, 0.65283203125, -0.375244140625, 0.71875, -0.193359375, 0.231689453125, 0.2333984375, 0.654296875, -0.429931640625, -0.48583984375, -0.2408447265625, 1.3369140625, 0.28662109375, 0.129638671875, -0.346435546875, 0.2388916015625, -0.2310791015625, 0.2215576171875, -0.3447265625, -0.0182342529296875, -0.15576171875, 0.87255859375, -0.814453125, 0.0015201568603515625, -0.0745849609375, 0.1551513671875, 0.1864013671875, -0.491943359375, -0.6220703125, 0.91552734375, 0.69970703125, -0.10009765625, 0.384521484375, 0.30126953125, 0.06939697265625, -0.00873565673828125, -0.172607421875, -0.279541015625, 0.285400390625, 0.53173828125, 0.525390625, -0.3447265625, 0.39208984375, 0.40771484375, -0.21923828125, -0.2196044921875, -0.020965576171875, 0.350830078125, -0.0655517578125, 0.327880859375, -0.1387939453125, -0.09765625, 0.171630859375, -0.60546875, 0.3251953125, -0.1524658203125, 0.12005615234375, -0.332275390625, -0.50634765625, 0.71337890625, -0.392333984375, -0.1607666015625, 0.0465087890625, -0.744140625, 0.492431640625, 0.86376953125, 0.09967041015625, -0.2265625, 0.91015625, 0.355224609375, 0.28564453125, 0.65673828125, 0.51904296875, 0.2032470703125, -0.56005859375, 0.304931640625, 0.25927734375, 0.1201171875, -0.4755859375, -0.5390625, -0.65771484375, 0.457275390625, -0.357421875, -0.434814453125, 0.297119140625, -0.728515625, 0.1104736328125, -0.469970703125, 0.65771484375, -0.4638671875, 0.4033203125, 0.09674072265625, -0.57470703125, -0.548828125, 0.873046875, -0.216796875, 0.55517578125, 0.0938720703125, 1.3583984375, 0.11016845703125, 1.287109375, 0.541015625, -0.2138671875, 0.09893798828125, 0.38671875, -0.283203125, -0.56591796875, -0.154296875, -0.324951171875, -0.043365478515625, -0.609375, -0.4736328125, -0.2333984375, 0.875, 0.09991455078125, -0.9111328125, -0.04998779296875, 0.1611328125, -0.87060546875, 0.51123046875, -0.040771484375, 0.388427734375, 0.1024169921875, 0.3271484375, 0.01190185546875, -1.1787109375, -0.056427001953125, -0.6650390625, 0.475341796875, -0.63916015625, -0.5537109375, -0.31494140625, -0.70751953125, -0.267578125, -0.351318359375, -0.2325439453125, -0.53857421875, 0.63818359375, 0.375, 0.330078125, 0.28076171875, -0.5615234375, 0.2193603515625, 0.8330078125, 0.96923828125, -0.0421142578125, 0.453125, 0.51171875, -0.484130859375, -0.0948486328125, -0.75830078125, 0.3818359375, -0.044769287109375, 0.29345703125, -0.55859375, 0.14453125, -0.60009765625, -1.267578125, -0.23681640625, 0.67236328125, 0.63671875, -0.619140625, -1.2451171875, -0.350341796875, -1.1455078125, -0.35400390625, -0.64697265625, 0.395751953125, -0.0343017578125, 0.59619140625, 0.371337890625, -1.1171875, 4.46484375, 0.94140625, 0.94091796875, 0.354736328125, 0.5107421875, 1.3857421875, 0.330322265625, -0.55712890625, -0.1392822265625, -0.76904296875, 0.58056640625, -0.1478271484375, 0.1478271484375, 0.99365234375, -0.1207275390625, 0.705078125, -1.0224609375, -0.2447509765625, -0.2022705078125, -1.162109375, -0.69873046875, -0.2398681640625, 0.073974609375, 0.42236328125, 0.040985107421875, 0.2379150390625, 0.3369140625, -0.87890625, -0.14892578125, -0.4375, -0.212646484375, -0.367919921875, 0.974609375, 0.262451171875, -0.30029296875, 0.509765625, -0.146484375, -0.295166015625, 0.163818359375, 0.07818603515625, 0.11456298828125, 0.06378173828125, 0.337646484375, -0.476806640625, -0.0755615234375, 0.7001953125, -0.45458984375, 0.05316162109375, -0.140869140625, -0.8115234375, 0.62744140625, -0.0208892822265625, 0.6357421875, -0.416259765625, -0.74560546875, 0.1990966796875, 0.297119140625, 0.218505859375, -0.513671875, 0.3056640625, 0.30224609375, 0.51806640625, -0.04150390625, 0.347412109375, -1.0009765625, 1.283203125, -0.028564453125, 0.251220703125, -0.71484375, 0.1148681640625, -0.281005859375, -0.2841796875, -0.392333984375, -0.1412353515625, 0.85205078125, 0.1575927734375, -0.12078857421875, 0.51708984375, 0.41796875, -0.336669921875, 0.3603515625, -0.54931640625, -0.568359375, -0.18896484375, 0.6298828125, 1.03125, -0.497802734375, -0.01045989990234375, 0.1363525390625, 0.7548828125, 0.4208984375, 0.7265625, 0.031524658203125, -0.7177734375, -0.357421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Tags: constructive algorithms, hashing, strings Correct Solution: ``` def pallin(s): n= len(s) for i in range(0,n//2): if s[i]!=s[n-i-1]: return False return True if __name__ == '__main__': s= input() #print(s) #print(pallin(s)) n= len(s) for i in range(n-1,0,-1): s1= s[0:i] s2= s[i:] t= s2+s1 #print(s1) #print(s2) #print(t) if s!=t and pallin(t): print("1") exit() for i in range(1,n//2): if s[i]!=s[i-1]: print("2") exit() print("Impossible") ```
7,604
[ 0.0845947265625, -0.4052734375, -0.171630859375, -0.29541015625, -0.5087890625, -0.57666015625, 0.1383056640625, -0.236083984375, -0.08819580078125, 0.64453125, 0.96728515625, -0.37255859375, 0.2978515625, -0.77685546875, -0.75146484375, 0.22802734375, -0.94677734375, -0.810546875, -0.50146484375, -0.40283203125, 0.2039794921875, -0.0380859375, -1.455078125, -0.12261962890625, -0.04638671875, 0.7177734375, 0.64404296875, 0.2353515625, 0.94580078125, 0.9267578125, 0.055145263671875, 0.006282806396484375, 0.736328125, -0.8173828125, -0.10687255859375, -0.12939453125, 0.19873046875, -0.5732421875, -0.4384765625, -0.452880859375, 0.2105712890625, -0.447265625, 0.6376953125, -0.77734375, -1.1298828125, 0.446533203125, -0.60986328125, -0.52392578125, -0.6572265625, -1.11328125, -0.071533203125, -0.291015625, 0.1746826171875, 0.04669189453125, 0.306640625, -0.1171875, 0.2174072265625, 0.228271484375, -0.50634765625, 0.412841796875, 0.2283935546875, 0.028594970703125, -0.417236328125, -0.71484375, -0.402587890625, -0.06793212890625, -0.197021484375, 0.0011529922485351562, 0.477783203125, -1.041015625, -0.1334228515625, 0.51611328125, -0.2230224609375, -0.69140625, -0.5400390625, 0.10430908203125, 0.0986328125, 0.1385498046875, -0.476318359375, 0.8642578125, 0.0986328125, 1.0966796875, -0.045440673828125, 0.2412109375, -0.3271484375, -0.65283203125, 0.1710205078125, 0.26025390625, 0.07861328125, -0.1414794921875, -0.196533203125, 0.70654296875, -0.162353515625, 0.08843994140625, 0.353271484375, 0.6669921875, -0.09832763671875, 0.58349609375, 0.0228118896484375, 0.23779296875, 0.75927734375, 0.94189453125, -0.349853515625, 0.5625, -0.39599609375, -0.1297607421875, 0.0179290771484375, 0.1278076171875, 0.1810302734375, -0.334716796875, 0.150390625, -0.385498046875, 0.57568359375, 0.2822265625, 0.261474609375, 0.386474609375, -0.05682373046875, 0.40283203125, -0.89111328125, 0.359130859375, 0.376953125, 0.1832275390625, 0.25732421875, -0.2705078125, 0.1741943359375, -0.09716796875, -0.318359375, 1.0830078125, -0.65966796875, 0.064208984375, 0.595703125, 0.0055084228515625, -0.043853759765625, 0.1854248046875, -0.08026123046875, 0.6396484375, 0.04547119140625, 0.515625, 0.38134765625, -0.74267578125, 0.63818359375, -0.06573486328125, -0.1405029296875, 1.50390625, 0.42138671875, -0.061920166015625, 0.92041015625, 0.262451171875, -0.953125, 0.64453125, -0.740234375, 0.6171875, 0.391845703125, 0.017242431640625, -0.1875, 0.2137451171875, -0.06573486328125, 0.448486328125, -0.01139068603515625, 0.145751953125, -0.08587646484375, 0.495849609375, -0.1810302734375, 0.8466796875, -0.0063323974609375, 0.88818359375, -0.52783203125, -0.62353515625, -0.1832275390625, -0.5029296875, 0.145751953125, 0.1307373046875, -0.11822509765625, 0.9560546875, 0.64794921875, 0.865234375, 0.884765625, -0.31884765625, 0.35791015625, 0.427734375, -0.32080078125, 0.62353515625, 0.31396484375, 0.640625, -0.06182861328125, 0.295654296875, -0.1759033203125, -0.2144775390625, -0.371826171875, -0.23876953125, 0.117919921875, 0.556640625, -0.28515625, 0.1998291015625, 0.327880859375, 0.11773681640625, -1.0126953125, -0.33544921875, 0.2481689453125, -1.162109375, -0.1802978515625, 0.91650390625, -0.2413330078125, 0.57373046875, -0.342041015625, -0.39208984375, 0.75048828125, 1.3349609375, -0.255126953125, -0.029571533203125, 0.261962890625, 0.0234527587890625, -0.12213134765625, 0.09381103515625, -0.1231689453125, -0.1683349609375, -0.751953125, 0.83349609375, -0.269287109375, -0.1351318359375, -0.197509765625, 1.0205078125, 0.174560546875, 0.5244140625, -0.69873046875, -0.3291015625, 0.4990234375, 1.328125, 0.0140380859375, -0.11126708984375, 0.13720703125, 0.6435546875, 0.407958984375, 0.63916015625, 0.42333984375, 0.03302001953125, 0.5595703125, 0.63330078125, -0.07757568359375, -0.05670166015625, 0.18212890625, 0.281005859375, 0.736328125, 0.380615234375, 0.40869140625, 0.650390625, -0.28125, -0.0946044921875, -0.248779296875, 0.314697265625, -0.202392578125, 0.755859375, 0.51513671875, 0.1165771484375, -0.56103515625, -0.10321044921875, 0.427734375, 0.63623046875, -0.62353515625, -0.921875, -0.0037975311279296875, 0.08428955078125, 0.52783203125, -0.125, 0.303466796875, 0.2061767578125, 0.374755859375, 0.6875, 0.03985595703125, -0.701171875, -0.859375, -1.1337890625, -0.68212890625, -0.395263671875, -0.5498046875, -0.1741943359375, 0.494384765625, -1.078125, 0.11767578125, 0.1033935546875, -0.101318359375, -0.046722412109375, -0.66259765625, 0.492919921875, -0.17578125, 0.83837890625, -0.261962890625, 0.99658203125, -0.0258331298828125, 1.0869140625, -0.302001953125, -0.1944580078125, -0.142822265625, -0.47314453125, 0.322998046875, 0.11383056640625, 0.5576171875, -0.2113037109375, -0.60986328125, -1.134765625, -0.272705078125, -0.19287109375, -0.357421875, 0.23876953125, -0.56787109375, 0.73681640625, 0.6484375, -0.5107421875, 0.437744140625, 0.84765625, -0.68212890625, 0.36083984375, 0.00461578369140625, -0.251953125, -0.75146484375, 1.2646484375, 0.293212890625, 0.346435546875, -0.47998046875, -1.0283203125, -0.412841796875, 0.0283355712890625, 0.2032470703125, -0.6181640625, -0.26513671875, 0.60693359375, 0.1400146484375, -0.85107421875, 0.69384765625, -1.0380859375, -0.7607421875, -0.1571044921875, -0.87890625, 0.68359375, 0.96240234375, -0.1409912109375, -0.10504150390625, -0.472412109375, -0.00879669189453125, 0.8046875, 0.281494140625, -0.446044921875, -0.1851806640625, 0.36083984375, -0.041351318359375, 0.143310546875, 0.238037109375, -0.443603515625, -0.270263671875, -0.041748046875, 0.2293701171875, 0.495849609375, 0.28857421875, 0.71435546875, 0.303955078125, 0.85986328125, -0.81640625, -0.4638671875, 0.04150390625, 0.5830078125, 0.03826904296875, 0.51904296875, -0.00963592529296875, -0.46533203125, -0.90185546875, -1.1416015625, 0.113037109375, 0.42626953125, 0.73974609375, -0.430908203125, 0.86669921875, -0.040374755859375, -0.5419921875, 0.48193359375, -0.88525390625, -0.0006470680236816406, 1.0078125, -0.472900390625, 0.86279296875, -0.515625, 0.53564453125, -0.007701873779296875, 0.2484130859375, 0.078857421875, 0.1534423828125, 0.430419921875, -0.250732421875, -0.845703125, -0.25, 0.053314208984375, -0.070068359375, -0.28271484375, 0.4248046875, -0.6025390625, -0.537109375, -0.59326171875, 0.70751953125, 0.513671875, 0.478759765625, -0.037078857421875, 0.505859375, 0.468505859375, 0.630859375, 0.483642578125, -0.2471923828125, 0.049072265625, -0.6513671875, 1.32421875, 0.1810302734375, -0.34228515625, -0.1341552734375, -0.06072998046875, -0.427490234375, -0.085693359375, 0.1829833984375, -0.0202484130859375, -1.0810546875, 0.2154541015625, 0.031524658203125, 1.0283203125, -0.3369140625, -0.307373046875, -0.17333984375, 0.259765625, 0.17724609375, -0.865234375, -0.06378173828125, -0.6875, 0.69140625, 0.29052734375, -0.17138671875, -0.415283203125, -0.4736328125, -0.85546875, -0.57568359375, 0.0199127197265625, 0.73486328125, 0.11767578125, 0.20849609375, -1.2880859375, 0.724609375, 0.2164306640625, -0.325439453125, 0.1845703125, -0.1466064453125, 0.5771484375, -0.39697265625, 0.62451171875, -0.2274169921875, -0.75, 0.118408203125, -1.25, 0.461181640625, -0.148681640625, 0.384521484375, -0.1070556640625, -0.5966796875, 0.125244140625, 0.279296875, -0.327392578125, 0.310791015625, -0.2161865234375, 0.472412109375, -0.859375, -0.63232421875, 0.26318359375, -0.414794921875, -0.224365234375, 0.6767578125, 0.255126953125, -0.168212890625, 0.0462646484375, 0.381103515625, -0.1529541015625, 0.339599609375, -0.66259765625, 0.6337890625, -0.288330078125, -0.51025390625, 0.0345458984375, -0.458251953125, 0.7392578125, -0.141845703125, -0.734375, -0.343994140625, -1.2724609375, -0.188232421875, -0.2235107421875, -0.2205810546875, 0.27392578125, 0.134765625, -0.48681640625, -0.0310821533203125, -0.4755859375, -0.037445068359375, -0.452880859375, -0.62158203125, -0.6494140625, 0.38134765625, 0.53857421875, 0.5634765625, 0.076904296875, -0.348876953125, -0.06646728515625, 0.048828125, 0.1292724609375, -0.354736328125, -0.317626953125, -0.286376953125, -0.427490234375, -0.0560302734375, 0.08349609375, 0.152099609375, 0.46923828125, 0.67578125, 0.07037353515625, 0.65625, 0.53955078125, -0.45703125, 0.92333984375, 0.1922607421875, -1.2490234375, -0.58935546875, 0.6376953125, -0.01433563232421875, 0.5341796875, -0.0556640625, -0.87646484375, -0.87890625, -0.64013671875, 0.23291015625, -0.919921875, -0.480712890625, -0.90771484375, -0.10601806640625, -0.295654296875, 0.6123046875, -0.35791015625, -0.74560546875, 0.2568359375, -0.87744140625, 0.52880859375, -0.693359375, -0.349853515625, -0.869140625, -0.368896484375, -0.2174072265625, 1.03125, 0.10992431640625, 0.328857421875, 0.0438232421875, -0.392822265625, 0.042938232421875, -0.294677734375, -0.67529296875, -0.35693359375, 0.011993408203125, 0.0159454345703125, -0.11334228515625, -0.367431640625, -0.5126953125, 0.76806640625, -0.86865234375, 0.2763671875, -0.470458984375, -0.296142578125, -0.03009033203125, -0.2115478515625, 0.89013671875, -0.39453125, 0.222900390625, -0.11004638671875, 0.498291015625, 1.0244140625, -0.28857421875, -0.332275390625, -0.76123046875, -0.7041015625, -0.90283203125, 0.6142578125, -0.65966796875, 0.1051025390625, -1, -0.315185546875, 0.8857421875, -0.47705078125, 0.25341796875, 0.833984375, 0.08599853515625, 0.1732177734375, -0.724609375, 0.6328125, 0.455078125, -0.380126953125, -0.20166015625, 0.049346923828125, -0.29150390625, 0.292236328125, 0.100341796875, -1.0244140625, -0.8818359375, 0.5498046875, 0.98828125, -0.53076171875, 0.8310546875, 0.214599609375, -1.0517578125, -0.533203125, 0.7216796875, 0.00800323486328125, 0.1263427734375, 0.962890625, -0.20361328125, -0.1934814453125, 0.2391357421875, -0.08758544921875, -0.332763671875, -0.437255859375, 0.84912109375, -0.5126953125, -0.387939453125, 0.8828125, 0.87158203125, -1.1435546875, -0.88330078125, -0.448974609375, 0.02691650390625, -0.093505859375, -0.76953125, -0.10235595703125, 0.485107421875, -0.6943359375, 0.07470703125, 0.515625, -0.065185546875, 0.44384765625, 0.189453125, 0.2410888671875, -0.42138671875, 0.5732421875, 0.62890625, -0.363525390625, -0.61376953125, -0.95849609375, -0.339599609375, -0.62451171875, 0.1435546875, 0.54931640625, -0.23291015625, 0.341552734375, 0.409912109375, 0.28857421875, 0.63818359375, -0.490966796875, -0.384521484375, 0.40283203125, -0.87109375, -0.274169921875, -0.2734375, 0.414306640625, -0.1744384765625, 0.337646484375, -0.47216796875, 0.0343017578125, 0.27587890625, 0.58740234375, -0.142578125, -0.77392578125, -0.02813720703125, -1.0224609375, -0.61083984375, -0.60546875, -0.609375, 0.02374267578125, 0.1326904296875, -0.607421875, -0.75732421875, 0.06884765625, 0.35546875, -0.7197265625, 1.0380859375, -0.32177734375, 0.269775390625, -0.70947265625, -0.287109375, -0.60400390625, -0.5107421875, -0.469970703125, -0.1776123046875, -0.65673828125, 0.493408203125, -0.2127685546875, 0.47509765625, -0.045806884765625, 0.2022705078125, 0.0156402587890625, -0.53955078125, -0.036346435546875, 0.12396240234375, 0.1370849609375, 0.8837890625, 0.63623046875, -0.00843048095703125, 0.41162109375, -0.25830078125, -0.693359375, -0.3505859375, 0.47509765625, 0.74365234375, -0.0228729248046875, -0.1676025390625, -0.5439453125, -0.01486968994140625, -1.2255859375, 0.496337890625, -0.458740234375, 0.46533203125, 0.39501953125, 0.09600830078125, 0.576171875, 1.224609375, -0.032073974609375, 0.302978515625, 0.42919921875, 0.427978515625, 0.34228515625, -0.06365966796875, -0.072509765625, 0.908203125, 0.0858154296875, -0.419189453125, -0.04693603515625, 0.1790771484375, 0.77685546875, 0.29345703125, -0.34814453125, -0.552734375, -0.8291015625, 0.004261016845703125, 0.234130859375, 0.309326171875, 1.0166015625, -0.59619140625, -0.1669921875, -0.63623046875, -0.68212890625, -0.077392578125, -0.9794921875, -0.78173828125, 0.288818359375, 0.049957275390625, -0.3876953125, -0.10357666015625, -0.3095703125, -0.7548828125, -0.074951171875, 0.4111328125, -0.446044921875, 0.65283203125, -0.375244140625, 0.71875, -0.193359375, 0.231689453125, 0.2333984375, 0.654296875, -0.429931640625, -0.48583984375, -0.2408447265625, 1.3369140625, 0.28662109375, 0.129638671875, -0.346435546875, 0.2388916015625, -0.2310791015625, 0.2215576171875, -0.3447265625, -0.0182342529296875, -0.15576171875, 0.87255859375, -0.814453125, 0.0015201568603515625, -0.0745849609375, 0.1551513671875, 0.1864013671875, -0.491943359375, -0.6220703125, 0.91552734375, 0.69970703125, -0.10009765625, 0.384521484375, 0.30126953125, 0.06939697265625, -0.00873565673828125, -0.172607421875, -0.279541015625, 0.285400390625, 0.53173828125, 0.525390625, -0.3447265625, 0.39208984375, 0.40771484375, -0.21923828125, -0.2196044921875, -0.020965576171875, 0.350830078125, -0.0655517578125, 0.327880859375, -0.1387939453125, -0.09765625, 0.171630859375, -0.60546875, 0.3251953125, -0.1524658203125, 0.12005615234375, -0.332275390625, -0.50634765625, 0.71337890625, -0.392333984375, -0.1607666015625, 0.0465087890625, -0.744140625, 0.492431640625, 0.86376953125, 0.09967041015625, -0.2265625, 0.91015625, 0.355224609375, 0.28564453125, 0.65673828125, 0.51904296875, 0.2032470703125, -0.56005859375, 0.304931640625, 0.25927734375, 0.1201171875, -0.4755859375, -0.5390625, -0.65771484375, 0.457275390625, -0.357421875, -0.434814453125, 0.297119140625, -0.728515625, 0.1104736328125, -0.469970703125, 0.65771484375, -0.4638671875, 0.4033203125, 0.09674072265625, -0.57470703125, -0.548828125, 0.873046875, -0.216796875, 0.55517578125, 0.0938720703125, 1.3583984375, 0.11016845703125, 1.287109375, 0.541015625, -0.2138671875, 0.09893798828125, 0.38671875, -0.283203125, -0.56591796875, -0.154296875, -0.324951171875, -0.043365478515625, -0.609375, -0.4736328125, -0.2333984375, 0.875, 0.09991455078125, -0.9111328125, -0.04998779296875, 0.1611328125, -0.87060546875, 0.51123046875, -0.040771484375, 0.388427734375, 0.1024169921875, 0.3271484375, 0.01190185546875, -1.1787109375, -0.056427001953125, -0.6650390625, 0.475341796875, -0.63916015625, -0.5537109375, -0.31494140625, -0.70751953125, -0.267578125, -0.351318359375, -0.2325439453125, -0.53857421875, 0.63818359375, 0.375, 0.330078125, 0.28076171875, -0.5615234375, 0.2193603515625, 0.8330078125, 0.96923828125, -0.0421142578125, 0.453125, 0.51171875, -0.484130859375, -0.0948486328125, -0.75830078125, 0.3818359375, -0.044769287109375, 0.29345703125, -0.55859375, 0.14453125, -0.60009765625, -1.267578125, -0.23681640625, 0.67236328125, 0.63671875, -0.619140625, -1.2451171875, -0.350341796875, -1.1455078125, -0.35400390625, -0.64697265625, 0.395751953125, -0.0343017578125, 0.59619140625, 0.371337890625, -1.1171875, 4.46484375, 0.94140625, 0.94091796875, 0.354736328125, 0.5107421875, 1.3857421875, 0.330322265625, -0.55712890625, -0.1392822265625, -0.76904296875, 0.58056640625, -0.1478271484375, 0.1478271484375, 0.99365234375, -0.1207275390625, 0.705078125, -1.0224609375, -0.2447509765625, -0.2022705078125, -1.162109375, -0.69873046875, -0.2398681640625, 0.073974609375, 0.42236328125, 0.040985107421875, 0.2379150390625, 0.3369140625, -0.87890625, -0.14892578125, -0.4375, -0.212646484375, -0.367919921875, 0.974609375, 0.262451171875, -0.30029296875, 0.509765625, -0.146484375, -0.295166015625, 0.163818359375, 0.07818603515625, 0.11456298828125, 0.06378173828125, 0.337646484375, -0.476806640625, -0.0755615234375, 0.7001953125, -0.45458984375, 0.05316162109375, -0.140869140625, -0.8115234375, 0.62744140625, -0.0208892822265625, 0.6357421875, -0.416259765625, -0.74560546875, 0.1990966796875, 0.297119140625, 0.218505859375, -0.513671875, 0.3056640625, 0.30224609375, 0.51806640625, -0.04150390625, 0.347412109375, -1.0009765625, 1.283203125, -0.028564453125, 0.251220703125, -0.71484375, 0.1148681640625, -0.281005859375, -0.2841796875, -0.392333984375, -0.1412353515625, 0.85205078125, 0.1575927734375, -0.12078857421875, 0.51708984375, 0.41796875, -0.336669921875, 0.3603515625, -0.54931640625, -0.568359375, -0.18896484375, 0.6298828125, 1.03125, -0.497802734375, -0.01045989990234375, 0.1363525390625, 0.7548828125, 0.4208984375, 0.7265625, 0.031524658203125, -0.7177734375, -0.357421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Tags: constructive algorithms, hashing, strings Correct Solution: ``` from collections import Counter import sys S=input() L=len(S) def pand(x): if x==x[::-1]: return True else: return False for i in range(1,len(S)): if S[i:]+S[:i]!=S and pand(S[i:]+S[:i])==True: print(1) sys.exit() if len(Counter(S).keys())==1: print("Impossible") sys.exit() if L%2==0: print(2) else: for i in range(1,L//2+1): if S[:i]!=S[-i:]: print(2) sys.exit() else: print("Impossible") ```
7,605
[ 0.0845947265625, -0.4052734375, -0.171630859375, -0.29541015625, -0.5087890625, -0.57666015625, 0.1383056640625, -0.236083984375, -0.08819580078125, 0.64453125, 0.96728515625, -0.37255859375, 0.2978515625, -0.77685546875, -0.75146484375, 0.22802734375, -0.94677734375, -0.810546875, -0.50146484375, -0.40283203125, 0.2039794921875, -0.0380859375, -1.455078125, -0.12261962890625, -0.04638671875, 0.7177734375, 0.64404296875, 0.2353515625, 0.94580078125, 0.9267578125, 0.055145263671875, 0.006282806396484375, 0.736328125, -0.8173828125, -0.10687255859375, -0.12939453125, 0.19873046875, -0.5732421875, -0.4384765625, -0.452880859375, 0.2105712890625, -0.447265625, 0.6376953125, -0.77734375, -1.1298828125, 0.446533203125, -0.60986328125, -0.52392578125, -0.6572265625, -1.11328125, -0.071533203125, -0.291015625, 0.1746826171875, 0.04669189453125, 0.306640625, -0.1171875, 0.2174072265625, 0.228271484375, -0.50634765625, 0.412841796875, 0.2283935546875, 0.028594970703125, -0.417236328125, -0.71484375, -0.402587890625, -0.06793212890625, -0.197021484375, 0.0011529922485351562, 0.477783203125, -1.041015625, -0.1334228515625, 0.51611328125, -0.2230224609375, -0.69140625, -0.5400390625, 0.10430908203125, 0.0986328125, 0.1385498046875, -0.476318359375, 0.8642578125, 0.0986328125, 1.0966796875, -0.045440673828125, 0.2412109375, -0.3271484375, -0.65283203125, 0.1710205078125, 0.26025390625, 0.07861328125, -0.1414794921875, -0.196533203125, 0.70654296875, -0.162353515625, 0.08843994140625, 0.353271484375, 0.6669921875, -0.09832763671875, 0.58349609375, 0.0228118896484375, 0.23779296875, 0.75927734375, 0.94189453125, -0.349853515625, 0.5625, -0.39599609375, -0.1297607421875, 0.0179290771484375, 0.1278076171875, 0.1810302734375, -0.334716796875, 0.150390625, -0.385498046875, 0.57568359375, 0.2822265625, 0.261474609375, 0.386474609375, -0.05682373046875, 0.40283203125, -0.89111328125, 0.359130859375, 0.376953125, 0.1832275390625, 0.25732421875, -0.2705078125, 0.1741943359375, -0.09716796875, -0.318359375, 1.0830078125, -0.65966796875, 0.064208984375, 0.595703125, 0.0055084228515625, -0.043853759765625, 0.1854248046875, -0.08026123046875, 0.6396484375, 0.04547119140625, 0.515625, 0.38134765625, -0.74267578125, 0.63818359375, -0.06573486328125, -0.1405029296875, 1.50390625, 0.42138671875, -0.061920166015625, 0.92041015625, 0.262451171875, -0.953125, 0.64453125, -0.740234375, 0.6171875, 0.391845703125, 0.017242431640625, -0.1875, 0.2137451171875, -0.06573486328125, 0.448486328125, -0.01139068603515625, 0.145751953125, -0.08587646484375, 0.495849609375, -0.1810302734375, 0.8466796875, -0.0063323974609375, 0.88818359375, -0.52783203125, -0.62353515625, -0.1832275390625, -0.5029296875, 0.145751953125, 0.1307373046875, -0.11822509765625, 0.9560546875, 0.64794921875, 0.865234375, 0.884765625, -0.31884765625, 0.35791015625, 0.427734375, -0.32080078125, 0.62353515625, 0.31396484375, 0.640625, -0.06182861328125, 0.295654296875, -0.1759033203125, -0.2144775390625, -0.371826171875, -0.23876953125, 0.117919921875, 0.556640625, -0.28515625, 0.1998291015625, 0.327880859375, 0.11773681640625, -1.0126953125, -0.33544921875, 0.2481689453125, -1.162109375, -0.1802978515625, 0.91650390625, -0.2413330078125, 0.57373046875, -0.342041015625, -0.39208984375, 0.75048828125, 1.3349609375, -0.255126953125, -0.029571533203125, 0.261962890625, 0.0234527587890625, -0.12213134765625, 0.09381103515625, -0.1231689453125, -0.1683349609375, -0.751953125, 0.83349609375, -0.269287109375, -0.1351318359375, -0.197509765625, 1.0205078125, 0.174560546875, 0.5244140625, -0.69873046875, -0.3291015625, 0.4990234375, 1.328125, 0.0140380859375, -0.11126708984375, 0.13720703125, 0.6435546875, 0.407958984375, 0.63916015625, 0.42333984375, 0.03302001953125, 0.5595703125, 0.63330078125, -0.07757568359375, -0.05670166015625, 0.18212890625, 0.281005859375, 0.736328125, 0.380615234375, 0.40869140625, 0.650390625, -0.28125, -0.0946044921875, -0.248779296875, 0.314697265625, -0.202392578125, 0.755859375, 0.51513671875, 0.1165771484375, -0.56103515625, -0.10321044921875, 0.427734375, 0.63623046875, -0.62353515625, -0.921875, -0.0037975311279296875, 0.08428955078125, 0.52783203125, -0.125, 0.303466796875, 0.2061767578125, 0.374755859375, 0.6875, 0.03985595703125, -0.701171875, -0.859375, -1.1337890625, -0.68212890625, -0.395263671875, -0.5498046875, -0.1741943359375, 0.494384765625, -1.078125, 0.11767578125, 0.1033935546875, -0.101318359375, -0.046722412109375, -0.66259765625, 0.492919921875, -0.17578125, 0.83837890625, -0.261962890625, 0.99658203125, -0.0258331298828125, 1.0869140625, -0.302001953125, -0.1944580078125, -0.142822265625, -0.47314453125, 0.322998046875, 0.11383056640625, 0.5576171875, -0.2113037109375, -0.60986328125, -1.134765625, -0.272705078125, -0.19287109375, -0.357421875, 0.23876953125, -0.56787109375, 0.73681640625, 0.6484375, -0.5107421875, 0.437744140625, 0.84765625, -0.68212890625, 0.36083984375, 0.00461578369140625, -0.251953125, -0.75146484375, 1.2646484375, 0.293212890625, 0.346435546875, -0.47998046875, -1.0283203125, -0.412841796875, 0.0283355712890625, 0.2032470703125, -0.6181640625, -0.26513671875, 0.60693359375, 0.1400146484375, -0.85107421875, 0.69384765625, -1.0380859375, -0.7607421875, -0.1571044921875, -0.87890625, 0.68359375, 0.96240234375, -0.1409912109375, -0.10504150390625, -0.472412109375, -0.00879669189453125, 0.8046875, 0.281494140625, -0.446044921875, -0.1851806640625, 0.36083984375, -0.041351318359375, 0.143310546875, 0.238037109375, -0.443603515625, -0.270263671875, -0.041748046875, 0.2293701171875, 0.495849609375, 0.28857421875, 0.71435546875, 0.303955078125, 0.85986328125, -0.81640625, -0.4638671875, 0.04150390625, 0.5830078125, 0.03826904296875, 0.51904296875, -0.00963592529296875, -0.46533203125, -0.90185546875, -1.1416015625, 0.113037109375, 0.42626953125, 0.73974609375, -0.430908203125, 0.86669921875, -0.040374755859375, -0.5419921875, 0.48193359375, -0.88525390625, -0.0006470680236816406, 1.0078125, -0.472900390625, 0.86279296875, -0.515625, 0.53564453125, -0.007701873779296875, 0.2484130859375, 0.078857421875, 0.1534423828125, 0.430419921875, -0.250732421875, -0.845703125, -0.25, 0.053314208984375, -0.070068359375, -0.28271484375, 0.4248046875, -0.6025390625, -0.537109375, -0.59326171875, 0.70751953125, 0.513671875, 0.478759765625, -0.037078857421875, 0.505859375, 0.468505859375, 0.630859375, 0.483642578125, -0.2471923828125, 0.049072265625, -0.6513671875, 1.32421875, 0.1810302734375, -0.34228515625, -0.1341552734375, -0.06072998046875, -0.427490234375, -0.085693359375, 0.1829833984375, -0.0202484130859375, -1.0810546875, 0.2154541015625, 0.031524658203125, 1.0283203125, -0.3369140625, -0.307373046875, -0.17333984375, 0.259765625, 0.17724609375, -0.865234375, -0.06378173828125, -0.6875, 0.69140625, 0.29052734375, -0.17138671875, -0.415283203125, -0.4736328125, -0.85546875, -0.57568359375, 0.0199127197265625, 0.73486328125, 0.11767578125, 0.20849609375, -1.2880859375, 0.724609375, 0.2164306640625, -0.325439453125, 0.1845703125, -0.1466064453125, 0.5771484375, -0.39697265625, 0.62451171875, -0.2274169921875, -0.75, 0.118408203125, -1.25, 0.461181640625, -0.148681640625, 0.384521484375, -0.1070556640625, -0.5966796875, 0.125244140625, 0.279296875, -0.327392578125, 0.310791015625, -0.2161865234375, 0.472412109375, -0.859375, -0.63232421875, 0.26318359375, -0.414794921875, -0.224365234375, 0.6767578125, 0.255126953125, -0.168212890625, 0.0462646484375, 0.381103515625, -0.1529541015625, 0.339599609375, -0.66259765625, 0.6337890625, -0.288330078125, -0.51025390625, 0.0345458984375, -0.458251953125, 0.7392578125, -0.141845703125, -0.734375, -0.343994140625, -1.2724609375, -0.188232421875, -0.2235107421875, -0.2205810546875, 0.27392578125, 0.134765625, -0.48681640625, -0.0310821533203125, -0.4755859375, -0.037445068359375, -0.452880859375, -0.62158203125, -0.6494140625, 0.38134765625, 0.53857421875, 0.5634765625, 0.076904296875, -0.348876953125, -0.06646728515625, 0.048828125, 0.1292724609375, -0.354736328125, -0.317626953125, -0.286376953125, -0.427490234375, -0.0560302734375, 0.08349609375, 0.152099609375, 0.46923828125, 0.67578125, 0.07037353515625, 0.65625, 0.53955078125, -0.45703125, 0.92333984375, 0.1922607421875, -1.2490234375, -0.58935546875, 0.6376953125, -0.01433563232421875, 0.5341796875, -0.0556640625, -0.87646484375, -0.87890625, -0.64013671875, 0.23291015625, -0.919921875, -0.480712890625, -0.90771484375, -0.10601806640625, -0.295654296875, 0.6123046875, -0.35791015625, -0.74560546875, 0.2568359375, -0.87744140625, 0.52880859375, -0.693359375, -0.349853515625, -0.869140625, -0.368896484375, -0.2174072265625, 1.03125, 0.10992431640625, 0.328857421875, 0.0438232421875, -0.392822265625, 0.042938232421875, -0.294677734375, -0.67529296875, -0.35693359375, 0.011993408203125, 0.0159454345703125, -0.11334228515625, -0.367431640625, -0.5126953125, 0.76806640625, -0.86865234375, 0.2763671875, -0.470458984375, -0.296142578125, -0.03009033203125, -0.2115478515625, 0.89013671875, -0.39453125, 0.222900390625, -0.11004638671875, 0.498291015625, 1.0244140625, -0.28857421875, -0.332275390625, -0.76123046875, -0.7041015625, -0.90283203125, 0.6142578125, -0.65966796875, 0.1051025390625, -1, -0.315185546875, 0.8857421875, -0.47705078125, 0.25341796875, 0.833984375, 0.08599853515625, 0.1732177734375, -0.724609375, 0.6328125, 0.455078125, -0.380126953125, -0.20166015625, 0.049346923828125, -0.29150390625, 0.292236328125, 0.100341796875, -1.0244140625, -0.8818359375, 0.5498046875, 0.98828125, -0.53076171875, 0.8310546875, 0.214599609375, -1.0517578125, -0.533203125, 0.7216796875, 0.00800323486328125, 0.1263427734375, 0.962890625, -0.20361328125, -0.1934814453125, 0.2391357421875, -0.08758544921875, -0.332763671875, -0.437255859375, 0.84912109375, -0.5126953125, -0.387939453125, 0.8828125, 0.87158203125, -1.1435546875, -0.88330078125, -0.448974609375, 0.02691650390625, -0.093505859375, -0.76953125, -0.10235595703125, 0.485107421875, -0.6943359375, 0.07470703125, 0.515625, -0.065185546875, 0.44384765625, 0.189453125, 0.2410888671875, -0.42138671875, 0.5732421875, 0.62890625, -0.363525390625, -0.61376953125, -0.95849609375, -0.339599609375, -0.62451171875, 0.1435546875, 0.54931640625, -0.23291015625, 0.341552734375, 0.409912109375, 0.28857421875, 0.63818359375, -0.490966796875, -0.384521484375, 0.40283203125, -0.87109375, -0.274169921875, -0.2734375, 0.414306640625, -0.1744384765625, 0.337646484375, -0.47216796875, 0.0343017578125, 0.27587890625, 0.58740234375, -0.142578125, -0.77392578125, -0.02813720703125, -1.0224609375, -0.61083984375, -0.60546875, -0.609375, 0.02374267578125, 0.1326904296875, -0.607421875, -0.75732421875, 0.06884765625, 0.35546875, -0.7197265625, 1.0380859375, -0.32177734375, 0.269775390625, -0.70947265625, -0.287109375, -0.60400390625, -0.5107421875, -0.469970703125, -0.1776123046875, -0.65673828125, 0.493408203125, -0.2127685546875, 0.47509765625, -0.045806884765625, 0.2022705078125, 0.0156402587890625, -0.53955078125, -0.036346435546875, 0.12396240234375, 0.1370849609375, 0.8837890625, 0.63623046875, -0.00843048095703125, 0.41162109375, -0.25830078125, -0.693359375, -0.3505859375, 0.47509765625, 0.74365234375, -0.0228729248046875, -0.1676025390625, -0.5439453125, -0.01486968994140625, -1.2255859375, 0.496337890625, -0.458740234375, 0.46533203125, 0.39501953125, 0.09600830078125, 0.576171875, 1.224609375, -0.032073974609375, 0.302978515625, 0.42919921875, 0.427978515625, 0.34228515625, -0.06365966796875, -0.072509765625, 0.908203125, 0.0858154296875, -0.419189453125, -0.04693603515625, 0.1790771484375, 0.77685546875, 0.29345703125, -0.34814453125, -0.552734375, -0.8291015625, 0.004261016845703125, 0.234130859375, 0.309326171875, 1.0166015625, -0.59619140625, -0.1669921875, -0.63623046875, -0.68212890625, -0.077392578125, -0.9794921875, -0.78173828125, 0.288818359375, 0.049957275390625, -0.3876953125, -0.10357666015625, -0.3095703125, -0.7548828125, -0.074951171875, 0.4111328125, -0.446044921875, 0.65283203125, -0.375244140625, 0.71875, -0.193359375, 0.231689453125, 0.2333984375, 0.654296875, -0.429931640625, -0.48583984375, -0.2408447265625, 1.3369140625, 0.28662109375, 0.129638671875, -0.346435546875, 0.2388916015625, -0.2310791015625, 0.2215576171875, -0.3447265625, -0.0182342529296875, -0.15576171875, 0.87255859375, -0.814453125, 0.0015201568603515625, -0.0745849609375, 0.1551513671875, 0.1864013671875, -0.491943359375, -0.6220703125, 0.91552734375, 0.69970703125, -0.10009765625, 0.384521484375, 0.30126953125, 0.06939697265625, -0.00873565673828125, -0.172607421875, -0.279541015625, 0.285400390625, 0.53173828125, 0.525390625, -0.3447265625, 0.39208984375, 0.40771484375, -0.21923828125, -0.2196044921875, -0.020965576171875, 0.350830078125, -0.0655517578125, 0.327880859375, -0.1387939453125, -0.09765625, 0.171630859375, -0.60546875, 0.3251953125, -0.1524658203125, 0.12005615234375, -0.332275390625, -0.50634765625, 0.71337890625, -0.392333984375, -0.1607666015625, 0.0465087890625, -0.744140625, 0.492431640625, 0.86376953125, 0.09967041015625, -0.2265625, 0.91015625, 0.355224609375, 0.28564453125, 0.65673828125, 0.51904296875, 0.2032470703125, -0.56005859375, 0.304931640625, 0.25927734375, 0.1201171875, -0.4755859375, -0.5390625, -0.65771484375, 0.457275390625, -0.357421875, -0.434814453125, 0.297119140625, -0.728515625, 0.1104736328125, -0.469970703125, 0.65771484375, -0.4638671875, 0.4033203125, 0.09674072265625, -0.57470703125, -0.548828125, 0.873046875, -0.216796875, 0.55517578125, 0.0938720703125, 1.3583984375, 0.11016845703125, 1.287109375, 0.541015625, -0.2138671875, 0.09893798828125, 0.38671875, -0.283203125, -0.56591796875, -0.154296875, -0.324951171875, -0.043365478515625, -0.609375, -0.4736328125, -0.2333984375, 0.875, 0.09991455078125, -0.9111328125, -0.04998779296875, 0.1611328125, -0.87060546875, 0.51123046875, -0.040771484375, 0.388427734375, 0.1024169921875, 0.3271484375, 0.01190185546875, -1.1787109375, -0.056427001953125, -0.6650390625, 0.475341796875, -0.63916015625, -0.5537109375, -0.31494140625, -0.70751953125, -0.267578125, -0.351318359375, -0.2325439453125, -0.53857421875, 0.63818359375, 0.375, 0.330078125, 0.28076171875, -0.5615234375, 0.2193603515625, 0.8330078125, 0.96923828125, -0.0421142578125, 0.453125, 0.51171875, -0.484130859375, -0.0948486328125, -0.75830078125, 0.3818359375, -0.044769287109375, 0.29345703125, -0.55859375, 0.14453125, -0.60009765625, -1.267578125, -0.23681640625, 0.67236328125, 0.63671875, -0.619140625, -1.2451171875, -0.350341796875, -1.1455078125, -0.35400390625, -0.64697265625, 0.395751953125, -0.0343017578125, 0.59619140625, 0.371337890625, -1.1171875, 4.46484375, 0.94140625, 0.94091796875, 0.354736328125, 0.5107421875, 1.3857421875, 0.330322265625, -0.55712890625, -0.1392822265625, -0.76904296875, 0.58056640625, -0.1478271484375, 0.1478271484375, 0.99365234375, -0.1207275390625, 0.705078125, -1.0224609375, -0.2447509765625, -0.2022705078125, -1.162109375, -0.69873046875, -0.2398681640625, 0.073974609375, 0.42236328125, 0.040985107421875, 0.2379150390625, 0.3369140625, -0.87890625, -0.14892578125, -0.4375, -0.212646484375, -0.367919921875, 0.974609375, 0.262451171875, -0.30029296875, 0.509765625, -0.146484375, -0.295166015625, 0.163818359375, 0.07818603515625, 0.11456298828125, 0.06378173828125, 0.337646484375, -0.476806640625, -0.0755615234375, 0.7001953125, -0.45458984375, 0.05316162109375, -0.140869140625, -0.8115234375, 0.62744140625, -0.0208892822265625, 0.6357421875, -0.416259765625, -0.74560546875, 0.1990966796875, 0.297119140625, 0.218505859375, -0.513671875, 0.3056640625, 0.30224609375, 0.51806640625, -0.04150390625, 0.347412109375, -1.0009765625, 1.283203125, -0.028564453125, 0.251220703125, -0.71484375, 0.1148681640625, -0.281005859375, -0.2841796875, -0.392333984375, -0.1412353515625, 0.85205078125, 0.1575927734375, -0.12078857421875, 0.51708984375, 0.41796875, -0.336669921875, 0.3603515625, -0.54931640625, -0.568359375, -0.18896484375, 0.6298828125, 1.03125, -0.497802734375, -0.01045989990234375, 0.1363525390625, 0.7548828125, 0.4208984375, 0.7265625, 0.031524658203125, -0.7177734375, -0.357421875 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Submitted Solution: ``` import collections #import random import heapq import bisect import math import time class Solution2: def solve(self, A1, A2): pass def gcd(a, b): if not b: return a return gcd(b, a%b) def lcm(a, b): return b*a//gcd(b,a) class Solution: def solve(self, s): count = collections.Counter(s) if len(count) == 1: return "Impossible" if len(count) == 2: if any(v == 1 for v in count.values()): return "Impossible" for i in range(len(s)): k1, k2 = s[i:], s[:i] new_s = k1 + k2 if new_s[::-1] == new_s and new_s != s: return '1' return '2' sol = Solution() sol2 = Solution2() #TT = int(input()) for test_case in range(1): N = input() #a = [] #for _ in range(int(N)-1): #a.append([int(c) for c in input().split()]) #b = [int(c) for c in input().split()] out = sol.solve(N) #print(' '.join([str(o) for o in out])) print(out) # out2 = sol2.solve(s) # for _ in range(100000): # rand = [random.randrange(60) for _ in range(10)] # out1 = sol.solve(rand) # out2 = sol2.solve(rand) # if out1 != out2: # print(rand, out1, out2) # break ``` Yes
7,606
[ 0.09686279296875, -0.426513671875, -0.1845703125, -0.379150390625, -0.60791015625, -0.471923828125, 0.04937744140625, -0.2288818359375, -0.1976318359375, 0.6552734375, 0.79541015625, -0.218017578125, 0.2056884765625, -0.70166015625, -0.826171875, -0.0282440185546875, -0.97021484375, -0.7353515625, -0.57763671875, -0.404296875, 0.1727294921875, -0.0174407958984375, -1.3935546875, -0.1798095703125, -0.15625, 0.69873046875, 0.60791015625, 0.2457275390625, 1.060546875, 0.87890625, 0.0128936767578125, 0.10894775390625, 0.75537109375, -0.64501953125, -0.0045623779296875, -0.1981201171875, 0.20166015625, -0.60546875, -0.548828125, -0.5087890625, 0.11456298828125, -0.34814453125, 0.63818359375, -0.74560546875, -1.265625, 0.5048828125, -0.5185546875, -0.5986328125, -0.53271484375, -1.1650390625, 0.0555419921875, -0.317138671875, 0.056671142578125, 0.021240234375, 0.388671875, -0.03533935546875, 0.1656494140625, 0.255615234375, -0.63671875, 0.275390625, 0.30322265625, 0.0290985107421875, -0.340087890625, -0.79833984375, -0.376953125, -0.001617431640625, -0.034149169921875, -0.0064849853515625, 0.5234375, -0.91015625, -0.208740234375, 0.41845703125, -0.2481689453125, -0.494873046875, -0.55810546875, 0.193359375, 0.1241455078125, 0.2283935546875, -0.58447265625, 0.81982421875, 0.1812744140625, 1.162109375, 0.018646240234375, 0.203369140625, -0.31884765625, -0.58984375, 0.1456298828125, 0.323974609375, 0.1163330078125, -0.04345703125, -0.1883544921875, 0.61474609375, -0.1937255859375, 0.12445068359375, 0.439453125, 0.64892578125, -0.01104736328125, 0.47265625, 0.1302490234375, 0.1881103515625, 0.79833984375, 0.90625, -0.335205078125, 0.6455078125, -0.482421875, -0.1663818359375, 0.0306243896484375, 0.0950927734375, 0.263427734375, -0.412109375, 0.20556640625, -0.376953125, 0.46923828125, 0.27587890625, 0.1968994140625, 0.483642578125, 0.051910400390625, 0.3935546875, -0.955078125, 0.422119140625, 0.36328125, 0.189453125, 0.2493896484375, -0.218017578125, 0.327880859375, -0.11663818359375, -0.42578125, 0.99072265625, -0.564453125, -0.031707763671875, 0.5986328125, -0.0128173828125, -0.19775390625, 0.05487060546875, 0.0214996337890625, 0.52685546875, -0.07525634765625, 0.54541015625, 0.353759765625, -0.7529296875, 0.67431640625, -0.01361083984375, -0.11334228515625, 1.5693359375, 0.370849609375, -0.1944580078125, 0.72021484375, 0.279541015625, -0.97021484375, 0.59912109375, -0.64892578125, 0.697265625, 0.280029296875, -0.1080322265625, -0.2529296875, 0.24609375, 0.011810302734375, 0.365234375, 0.040252685546875, 0.07568359375, -0.1314697265625, 0.47265625, -0.18505859375, 0.85888671875, 0.03375244140625, 0.869140625, -0.5087890625, -0.57958984375, -0.14013671875, -0.385009765625, 0.1717529296875, 0.056427001953125, 0.051849365234375, 1.005859375, 0.623046875, 0.9296875, 0.88671875, -0.27294921875, 0.2091064453125, 0.50390625, -0.325927734375, 0.62255859375, 0.395751953125, 0.6962890625, -0.033782958984375, 0.368408203125, -0.1676025390625, -0.1666259765625, -0.4052734375, -0.2412109375, 0.0259246826171875, 0.70556640625, -0.369140625, 0.22265625, 0.12548828125, 0.17041015625, -0.90966796875, -0.30078125, 0.1298828125, -1.1875, -0.20751953125, 0.84130859375, -0.2303466796875, 0.529296875, -0.369873046875, -0.426513671875, 0.6298828125, 1.4365234375, -0.1839599609375, 0.117431640625, 0.276123046875, 0.187255859375, -0.15283203125, 0.007801055908203125, -0.089111328125, -0.08740234375, -0.76416015625, 0.8232421875, -0.2247314453125, -0.243896484375, -0.068115234375, 0.95263671875, 0.11175537109375, 0.4482421875, -0.7783203125, -0.42578125, 0.479736328125, 1.3515625, 0.09747314453125, -0.0022830963134765625, 0.19384765625, 0.7099609375, 0.441162109375, 0.7138671875, 0.5146484375, 0.0576171875, 0.6484375, 0.53466796875, -0.27001953125, -0.00846099853515625, 0.2041015625, 0.2958984375, 0.68798828125, 0.39453125, 0.384765625, 0.6572265625, -0.285888671875, -0.15283203125, -0.375244140625, 0.447998046875, -0.2091064453125, 0.79541015625, 0.5966796875, 0.2255859375, -0.490234375, -0.1246337890625, 0.55810546875, 0.62158203125, -0.76123046875, -1.087890625, 0.05584716796875, 0.055267333984375, 0.448974609375, -0.0616455078125, 0.2142333984375, 0.18896484375, 0.36669921875, 0.66943359375, -0.0738525390625, -0.77099609375, -0.82861328125, -1.1181640625, -0.8720703125, -0.417724609375, -0.54736328125, -0.198486328125, 0.472900390625, -1.03515625, 0.1260986328125, -0.037445068359375, -0.07763671875, -0.189697265625, -0.5107421875, 0.50537109375, -0.08770751953125, 0.90771484375, -0.31494140625, 0.8525390625, 0.148193359375, 1.0244140625, -0.39794921875, -0.1942138671875, -0.297119140625, -0.441162109375, 0.314453125, 0.10406494140625, 0.66455078125, -0.1202392578125, -0.6259765625, -1.1669921875, -0.228759765625, 0.0024166107177734375, -0.385009765625, 0.21435546875, -0.52490234375, 0.9091796875, 0.496826171875, -0.482177734375, 0.3974609375, 0.82958984375, -0.75830078125, 0.335693359375, 0.0178070068359375, -0.200439453125, -0.69873046875, 1.1572265625, 0.308349609375, 0.451416015625, -0.46630859375, -0.89208984375, -0.491455078125, 0.045654296875, 0.3271484375, -0.72021484375, -0.34228515625, 0.62841796875, 0.2479248046875, -0.921875, 0.7763671875, -1.1484375, -0.71630859375, -0.04931640625, -0.87060546875, 0.72802734375, 0.99267578125, 0.0266876220703125, -0.0899658203125, -0.435302734375, -0.1033935546875, 0.68505859375, 0.39404296875, -0.53125, -0.151123046875, 0.44287109375, 0.041748046875, 0.1484375, 0.269287109375, -0.46044921875, -0.278076171875, -0.1279296875, 0.183837890625, 0.5634765625, 0.299072265625, 0.7451171875, 0.1990966796875, 0.78564453125, -0.77734375, -0.449951171875, 0.036773681640625, 0.5458984375, 0.12548828125, 0.62109375, 0.0255584716796875, -0.310546875, -0.9716796875, -1.0478515625, 0.211669921875, 0.33447265625, 0.6650390625, -0.385986328125, 0.921875, -0.08026123046875, -0.62109375, 0.51171875, -0.8876953125, 0.06787109375, 0.92626953125, -0.3447265625, 0.96435546875, -0.56396484375, 0.525390625, -0.1529541015625, 0.1168212890625, 0.06402587890625, 0.046539306640625, 0.5478515625, -0.269775390625, -0.73583984375, -0.27392578125, 0.09991455078125, -0.051971435546875, -0.3359375, 0.430419921875, -0.61279296875, -0.5537109375, -0.7373046875, 0.859375, 0.442138671875, 0.509765625, -0.10321044921875, 0.457763671875, 0.363525390625, 0.484375, 0.5595703125, -0.1328125, 0.024688720703125, -0.62646484375, 1.25, 0.203369140625, -0.40380859375, -0.2099609375, -0.116455078125, -0.43896484375, -0.06829833984375, 0.1497802734375, 0.0413818359375, -1.17578125, 0.260986328125, 0.01538848876953125, 0.96826171875, -0.498779296875, -0.275390625, -0.2318115234375, 0.273681640625, 0.2095947265625, -0.83984375, -0.0316162109375, -0.75, 0.58837890625, 0.400634765625, -0.259033203125, -0.456298828125, -0.38427734375, -0.916015625, -0.72119140625, -0.0214691162109375, 0.82470703125, 0.06036376953125, 0.10430908203125, -1.423828125, 0.673828125, 0.282958984375, -0.337890625, 0.30322265625, -0.3017578125, 0.607421875, -0.358154296875, 0.66357421875, -0.251220703125, -0.72509765625, 0.08331298828125, -1.275390625, 0.52197265625, -0.0413818359375, 0.53125, -0.017974853515625, -0.53759765625, 0.1392822265625, 0.472900390625, -0.2529296875, 0.310791015625, -0.1298828125, 0.59716796875, -0.80517578125, -0.71826171875, 0.1602783203125, -0.266357421875, -0.360595703125, 0.625, 0.22607421875, -0.333740234375, 0.014556884765625, 0.339599609375, -0.069580078125, 0.400146484375, -0.5830078125, 0.625, -0.15234375, -0.404296875, -0.029449462890625, -0.454833984375, 0.69580078125, -0.338623046875, -0.76806640625, -0.44873046875, -1.3134765625, -0.23876953125, -0.2275390625, -0.2822265625, 0.26806640625, 0.254638671875, -0.4375, -0.0841064453125, -0.5029296875, -0.1024169921875, -0.50634765625, -0.56787109375, -0.71875, 0.3662109375, 0.57421875, 0.57470703125, 0.10906982421875, -0.29443359375, -0.155517578125, -0.07928466796875, 0.091552734375, -0.53076171875, -0.373046875, -0.128173828125, -0.57275390625, -0.048675537109375, 0.1170654296875, 0.06915283203125, 0.46337890625, 0.7119140625, 0.017578125, 0.6240234375, 0.444580078125, -0.56591796875, 0.99462890625, 0.0982666015625, -1.3701171875, -0.5556640625, 0.5888671875, 0.1116943359375, 0.63916015625, -0.07879638671875, -0.82373046875, -0.95947265625, -0.677734375, 0.2139892578125, -0.962890625, -0.52490234375, -0.859375, -0.190673828125, -0.25390625, 0.6025390625, -0.32080078125, -0.77978515625, 0.2066650390625, -1.048828125, 0.62939453125, -0.7060546875, -0.254638671875, -0.857421875, -0.288330078125, -0.25439453125, 0.9453125, 0.139404296875, 0.359130859375, -0.0211639404296875, -0.322021484375, -0.0457763671875, -0.348388671875, -0.6015625, -0.406494140625, 0.10693359375, -0.012298583984375, -0.14892578125, -0.41015625, -0.55517578125, 0.8671875, -0.78076171875, 0.295654296875, -0.4423828125, -0.281005859375, 0.062286376953125, -0.279296875, 0.89208984375, -0.315673828125, 0.2080078125, -0.2117919921875, 0.537109375, 1.20703125, -0.27197265625, -0.306396484375, -0.7744140625, -0.625, -0.966796875, 0.56689453125, -0.73486328125, 0.061981201171875, -1.01953125, -0.245361328125, 0.95361328125, -0.439208984375, 0.390380859375, 0.9306640625, 0.1995849609375, 0.287353515625, -0.744140625, 0.66064453125, 0.47021484375, -0.415283203125, -0.1502685546875, -0.09222412109375, -0.3095703125, 0.289306640625, 0.1280517578125, -1.0263671875, -0.87939453125, 0.482666015625, 0.96826171875, -0.53466796875, 0.91943359375, 0.26123046875, -1.150390625, -0.47509765625, 0.6328125, 0.0772705078125, 0.06512451171875, 0.9697265625, -0.044952392578125, -0.1832275390625, 0.29296875, -0.05706787109375, -0.311767578125, -0.33203125, 0.9169921875, -0.47802734375, -0.50537109375, 0.9384765625, 0.9111328125, -1.2509765625, -1.0126953125, -0.468505859375, 0.01580810546875, 0.08343505859375, -0.79931640625, -0.11859130859375, 0.44140625, -0.58740234375, 0.1563720703125, 0.52490234375, -0.1158447265625, 0.470947265625, 0.240966796875, 0.263427734375, -0.448486328125, 0.5390625, 0.66748046875, -0.419921875, -0.62353515625, -1.064453125, -0.298583984375, -0.61669921875, 0.048736572265625, 0.61279296875, -0.1973876953125, 0.383056640625, 0.53515625, 0.265380859375, 0.724609375, -0.57568359375, -0.29443359375, 0.314453125, -1.0009765625, -0.30908203125, -0.25927734375, 0.46484375, -0.07904052734375, 0.334228515625, -0.357421875, -0.0291900634765625, 0.334716796875, 0.4873046875, -0.12322998046875, -0.7333984375, -0.147705078125, -0.96337890625, -0.6201171875, -0.48779296875, -0.525390625, 0.07537841796875, 0.052520751953125, -0.4697265625, -0.79248046875, 0.0243988037109375, 0.3369140625, -0.603515625, 1.029296875, -0.389404296875, 0.30126953125, -0.77001953125, -0.36279296875, -0.5732421875, -0.452392578125, -0.6484375, -0.200927734375, -0.54443359375, 0.3935546875, -0.225341796875, 0.371337890625, -0.203125, 0.236572265625, 0.09063720703125, -0.422607421875, 0.0711669921875, 0.1397705078125, -0.0270843505859375, 0.9892578125, 0.63916015625, -0.035736083984375, 0.359130859375, -0.2939453125, -0.658203125, -0.331298828125, 0.63232421875, 0.74072265625, 0.04730224609375, -0.146484375, -0.474609375, -0.1376953125, -1.173828125, 0.49658203125, -0.445068359375, 0.409912109375, 0.358154296875, -0.02593994140625, 0.650390625, 1.224609375, -0.179443359375, 0.29736328125, 0.381103515625, 0.474853515625, 0.34521484375, -0.05712890625, -0.1573486328125, 0.962890625, 0.16845703125, -0.372802734375, -0.0240631103515625, 0.4169921875, 0.66015625, 0.326904296875, -0.4306640625, -0.65283203125, -0.91455078125, 0.1611328125, 0.1639404296875, 0.33349609375, 1.05859375, -0.56298828125, -0.165283203125, -0.53466796875, -0.6474609375, -0.041351318359375, -0.927734375, -0.67919921875, 0.283447265625, 0.020843505859375, -0.391845703125, -0.036285400390625, -0.451416015625, -0.609375, -0.019775390625, 0.345458984375, -0.410888671875, 0.43896484375, -0.351806640625, 0.7568359375, -0.280517578125, 0.171142578125, 0.1346435546875, 0.6484375, -0.5625, -0.58251953125, -0.1956787109375, 1.25390625, 0.205322265625, 0.039337158203125, -0.492919921875, 0.1981201171875, -0.330810546875, 0.03564453125, -0.31884765625, 0.0243377685546875, -0.10394287109375, 0.78173828125, -0.72314453125, -0.047149658203125, -0.15283203125, 0.203857421875, 0.040771484375, -0.513671875, -0.609375, 0.83056640625, 0.65966796875, -0.08392333984375, 0.366455078125, 0.28662109375, 0.275146484375, -0.06976318359375, -0.181884765625, -0.2666015625, 0.309814453125, 0.5224609375, 0.57763671875, -0.266357421875, 0.44580078125, 0.455322265625, -0.2235107421875, -0.1412353515625, 0.003875732421875, 0.357666015625, 0.0251617431640625, 0.265380859375, -0.1873779296875, -0.09613037109375, 0.263916015625, -0.59521484375, 0.22265625, -0.1441650390625, 0.015106201171875, -0.29736328125, -0.5419921875, 0.6923828125, -0.4013671875, -0.1796875, -0.062347412109375, -0.76220703125, 0.599609375, 0.84423828125, 0.050506591796875, -0.050048828125, 0.9794921875, 0.461669921875, 0.271484375, 0.66015625, 0.56396484375, 0.1741943359375, -0.61181640625, 0.120849609375, 0.37158203125, 0.128173828125, -0.306396484375, -0.552734375, -0.73193359375, 0.63330078125, -0.40869140625, -0.31640625, 0.2218017578125, -0.80712890625, 0.0035533905029296875, -0.57861328125, 0.7607421875, -0.54638671875, 0.411865234375, 0.028106689453125, -0.52294921875, -0.5673828125, 0.90966796875, -0.083740234375, 0.53759765625, 0.1666259765625, 1.431640625, 0.109619140625, 1.3291015625, 0.591796875, -0.1270751953125, 0.1700439453125, 0.408935546875, -0.215087890625, -0.515625, -0.08001708984375, -0.411865234375, -0.061553955078125, -0.61767578125, -0.469482421875, -0.364013671875, 0.8583984375, 0.14990234375, -0.9580078125, -0.040374755859375, 0.09906005859375, -0.83642578125, 0.53076171875, -0.1461181640625, 0.495849609375, 0.1331787109375, 0.373291015625, -0.0986328125, -1.1494140625, 0.05303955078125, -0.50341796875, 0.50146484375, -0.48388671875, -0.5478515625, -0.287841796875, -0.703125, -0.26904296875, -0.266845703125, -0.349853515625, -0.49560546875, 0.64453125, 0.52685546875, 0.376953125, 0.267333984375, -0.61181640625, 0.256591796875, 0.85107421875, 1.033203125, -0.07080078125, 0.470947265625, 0.6171875, -0.476318359375, -0.177490234375, -0.73779296875, 0.426025390625, 0.150390625, 0.28076171875, -0.4814453125, 0.10821533203125, -0.65869140625, -1.1337890625, -0.220703125, 0.67236328125, 0.484130859375, -0.55712890625, -1.2119140625, -0.53857421875, -1.1005859375, -0.42236328125, -0.708984375, 0.371337890625, -0.07733154296875, 0.489013671875, 0.33447265625, -1.1162109375, 4.41796875, 0.9716796875, 0.76416015625, 0.32421875, 0.53759765625, 1.4150390625, 0.3671875, -0.6923828125, -0.1337890625, -0.84326171875, 0.5400390625, -0.28125, 0.09503173828125, 0.94482421875, -0.055877685546875, 0.6767578125, -1.048828125, -0.3203125, -0.11700439453125, -1.15234375, -0.81787109375, -0.2220458984375, 0.035247802734375, 0.338134765625, 0.043792724609375, 0.2393798828125, 0.467529296875, -0.951171875, -0.2215576171875, -0.5703125, -0.218505859375, -0.339111328125, 0.92724609375, 0.44482421875, -0.3193359375, 0.4443359375, -0.157958984375, -0.364990234375, -0.0343017578125, 0.2200927734375, -0.004444122314453125, 0.142822265625, 0.5390625, -0.4951171875, -0.057769775390625, 0.7724609375, -0.52001953125, 0.147216796875, -0.0936279296875, -0.78857421875, 0.69091796875, 0.06414794921875, 0.65869140625, -0.352783203125, -0.74462890625, 0.21484375, 0.4443359375, 0.214111328125, -0.434814453125, 0.258056640625, 0.1549072265625, 0.431396484375, 0.0316162109375, 0.455322265625, -1.044921875, 1.0673828125, -0.0362548828125, 0.297607421875, -0.609375, 0.1455078125, -0.30419921875, -0.28271484375, -0.355712890625, -0.1500244140625, 0.65576171875, 0.197509765625, -0.123779296875, 0.484130859375, 0.498046875, -0.3486328125, 0.3349609375, -0.488037109375, -0.48779296875, -0.21142578125, 0.67724609375, 1.0498046875, -0.40283203125, -0.0548095703125, 0.069580078125, 0.748046875, 0.52197265625, 0.7568359375, -0.064208984375, -0.76025390625, -0.450927734375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Submitted Solution: ``` s=input() if len(set(s[:len(s)//2]))<=1: print("Impossible");exit() for i in range(1,len(s)): n=s[i:]+s[:i] if(n==n[::-1])and(n!=s): print(1);exit() print(2) ``` Yes
7,607
[ 0.09686279296875, -0.426513671875, -0.1845703125, -0.379150390625, -0.60791015625, -0.471923828125, 0.04937744140625, -0.2288818359375, -0.1976318359375, 0.6552734375, 0.79541015625, -0.218017578125, 0.2056884765625, -0.70166015625, -0.826171875, -0.0282440185546875, -0.97021484375, -0.7353515625, -0.57763671875, -0.404296875, 0.1727294921875, -0.0174407958984375, -1.3935546875, -0.1798095703125, -0.15625, 0.69873046875, 0.60791015625, 0.2457275390625, 1.060546875, 0.87890625, 0.0128936767578125, 0.10894775390625, 0.75537109375, -0.64501953125, -0.0045623779296875, -0.1981201171875, 0.20166015625, -0.60546875, -0.548828125, -0.5087890625, 0.11456298828125, -0.34814453125, 0.63818359375, -0.74560546875, -1.265625, 0.5048828125, -0.5185546875, -0.5986328125, -0.53271484375, -1.1650390625, 0.0555419921875, -0.317138671875, 0.056671142578125, 0.021240234375, 0.388671875, -0.03533935546875, 0.1656494140625, 0.255615234375, -0.63671875, 0.275390625, 0.30322265625, 0.0290985107421875, -0.340087890625, -0.79833984375, -0.376953125, -0.001617431640625, -0.034149169921875, -0.0064849853515625, 0.5234375, -0.91015625, -0.208740234375, 0.41845703125, -0.2481689453125, -0.494873046875, -0.55810546875, 0.193359375, 0.1241455078125, 0.2283935546875, -0.58447265625, 0.81982421875, 0.1812744140625, 1.162109375, 0.018646240234375, 0.203369140625, -0.31884765625, -0.58984375, 0.1456298828125, 0.323974609375, 0.1163330078125, -0.04345703125, -0.1883544921875, 0.61474609375, -0.1937255859375, 0.12445068359375, 0.439453125, 0.64892578125, -0.01104736328125, 0.47265625, 0.1302490234375, 0.1881103515625, 0.79833984375, 0.90625, -0.335205078125, 0.6455078125, -0.482421875, -0.1663818359375, 0.0306243896484375, 0.0950927734375, 0.263427734375, -0.412109375, 0.20556640625, -0.376953125, 0.46923828125, 0.27587890625, 0.1968994140625, 0.483642578125, 0.051910400390625, 0.3935546875, -0.955078125, 0.422119140625, 0.36328125, 0.189453125, 0.2493896484375, -0.218017578125, 0.327880859375, -0.11663818359375, -0.42578125, 0.99072265625, -0.564453125, -0.031707763671875, 0.5986328125, -0.0128173828125, -0.19775390625, 0.05487060546875, 0.0214996337890625, 0.52685546875, -0.07525634765625, 0.54541015625, 0.353759765625, -0.7529296875, 0.67431640625, -0.01361083984375, -0.11334228515625, 1.5693359375, 0.370849609375, -0.1944580078125, 0.72021484375, 0.279541015625, -0.97021484375, 0.59912109375, -0.64892578125, 0.697265625, 0.280029296875, -0.1080322265625, -0.2529296875, 0.24609375, 0.011810302734375, 0.365234375, 0.040252685546875, 0.07568359375, -0.1314697265625, 0.47265625, -0.18505859375, 0.85888671875, 0.03375244140625, 0.869140625, -0.5087890625, -0.57958984375, -0.14013671875, -0.385009765625, 0.1717529296875, 0.056427001953125, 0.051849365234375, 1.005859375, 0.623046875, 0.9296875, 0.88671875, -0.27294921875, 0.2091064453125, 0.50390625, -0.325927734375, 0.62255859375, 0.395751953125, 0.6962890625, -0.033782958984375, 0.368408203125, -0.1676025390625, -0.1666259765625, -0.4052734375, -0.2412109375, 0.0259246826171875, 0.70556640625, -0.369140625, 0.22265625, 0.12548828125, 0.17041015625, -0.90966796875, -0.30078125, 0.1298828125, -1.1875, -0.20751953125, 0.84130859375, -0.2303466796875, 0.529296875, -0.369873046875, -0.426513671875, 0.6298828125, 1.4365234375, -0.1839599609375, 0.117431640625, 0.276123046875, 0.187255859375, -0.15283203125, 0.007801055908203125, -0.089111328125, -0.08740234375, -0.76416015625, 0.8232421875, -0.2247314453125, -0.243896484375, -0.068115234375, 0.95263671875, 0.11175537109375, 0.4482421875, -0.7783203125, -0.42578125, 0.479736328125, 1.3515625, 0.09747314453125, -0.0022830963134765625, 0.19384765625, 0.7099609375, 0.441162109375, 0.7138671875, 0.5146484375, 0.0576171875, 0.6484375, 0.53466796875, -0.27001953125, -0.00846099853515625, 0.2041015625, 0.2958984375, 0.68798828125, 0.39453125, 0.384765625, 0.6572265625, -0.285888671875, -0.15283203125, -0.375244140625, 0.447998046875, -0.2091064453125, 0.79541015625, 0.5966796875, 0.2255859375, -0.490234375, -0.1246337890625, 0.55810546875, 0.62158203125, -0.76123046875, -1.087890625, 0.05584716796875, 0.055267333984375, 0.448974609375, -0.0616455078125, 0.2142333984375, 0.18896484375, 0.36669921875, 0.66943359375, -0.0738525390625, -0.77099609375, -0.82861328125, -1.1181640625, -0.8720703125, -0.417724609375, -0.54736328125, -0.198486328125, 0.472900390625, -1.03515625, 0.1260986328125, -0.037445068359375, -0.07763671875, -0.189697265625, -0.5107421875, 0.50537109375, -0.08770751953125, 0.90771484375, -0.31494140625, 0.8525390625, 0.148193359375, 1.0244140625, -0.39794921875, -0.1942138671875, -0.297119140625, -0.441162109375, 0.314453125, 0.10406494140625, 0.66455078125, -0.1202392578125, -0.6259765625, -1.1669921875, -0.228759765625, 0.0024166107177734375, -0.385009765625, 0.21435546875, -0.52490234375, 0.9091796875, 0.496826171875, -0.482177734375, 0.3974609375, 0.82958984375, -0.75830078125, 0.335693359375, 0.0178070068359375, -0.200439453125, -0.69873046875, 1.1572265625, 0.308349609375, 0.451416015625, -0.46630859375, -0.89208984375, -0.491455078125, 0.045654296875, 0.3271484375, -0.72021484375, -0.34228515625, 0.62841796875, 0.2479248046875, -0.921875, 0.7763671875, -1.1484375, -0.71630859375, -0.04931640625, -0.87060546875, 0.72802734375, 0.99267578125, 0.0266876220703125, -0.0899658203125, -0.435302734375, -0.1033935546875, 0.68505859375, 0.39404296875, -0.53125, -0.151123046875, 0.44287109375, 0.041748046875, 0.1484375, 0.269287109375, -0.46044921875, -0.278076171875, -0.1279296875, 0.183837890625, 0.5634765625, 0.299072265625, 0.7451171875, 0.1990966796875, 0.78564453125, -0.77734375, -0.449951171875, 0.036773681640625, 0.5458984375, 0.12548828125, 0.62109375, 0.0255584716796875, -0.310546875, -0.9716796875, -1.0478515625, 0.211669921875, 0.33447265625, 0.6650390625, -0.385986328125, 0.921875, -0.08026123046875, -0.62109375, 0.51171875, -0.8876953125, 0.06787109375, 0.92626953125, -0.3447265625, 0.96435546875, -0.56396484375, 0.525390625, -0.1529541015625, 0.1168212890625, 0.06402587890625, 0.046539306640625, 0.5478515625, -0.269775390625, -0.73583984375, -0.27392578125, 0.09991455078125, -0.051971435546875, -0.3359375, 0.430419921875, -0.61279296875, -0.5537109375, -0.7373046875, 0.859375, 0.442138671875, 0.509765625, -0.10321044921875, 0.457763671875, 0.363525390625, 0.484375, 0.5595703125, -0.1328125, 0.024688720703125, -0.62646484375, 1.25, 0.203369140625, -0.40380859375, -0.2099609375, -0.116455078125, -0.43896484375, -0.06829833984375, 0.1497802734375, 0.0413818359375, -1.17578125, 0.260986328125, 0.01538848876953125, 0.96826171875, -0.498779296875, -0.275390625, -0.2318115234375, 0.273681640625, 0.2095947265625, -0.83984375, -0.0316162109375, -0.75, 0.58837890625, 0.400634765625, -0.259033203125, -0.456298828125, -0.38427734375, -0.916015625, -0.72119140625, -0.0214691162109375, 0.82470703125, 0.06036376953125, 0.10430908203125, -1.423828125, 0.673828125, 0.282958984375, -0.337890625, 0.30322265625, -0.3017578125, 0.607421875, -0.358154296875, 0.66357421875, -0.251220703125, -0.72509765625, 0.08331298828125, -1.275390625, 0.52197265625, -0.0413818359375, 0.53125, -0.017974853515625, -0.53759765625, 0.1392822265625, 0.472900390625, -0.2529296875, 0.310791015625, -0.1298828125, 0.59716796875, -0.80517578125, -0.71826171875, 0.1602783203125, -0.266357421875, -0.360595703125, 0.625, 0.22607421875, -0.333740234375, 0.014556884765625, 0.339599609375, -0.069580078125, 0.400146484375, -0.5830078125, 0.625, -0.15234375, -0.404296875, -0.029449462890625, -0.454833984375, 0.69580078125, -0.338623046875, -0.76806640625, -0.44873046875, -1.3134765625, -0.23876953125, -0.2275390625, -0.2822265625, 0.26806640625, 0.254638671875, -0.4375, -0.0841064453125, -0.5029296875, -0.1024169921875, -0.50634765625, -0.56787109375, -0.71875, 0.3662109375, 0.57421875, 0.57470703125, 0.10906982421875, -0.29443359375, -0.155517578125, -0.07928466796875, 0.091552734375, -0.53076171875, -0.373046875, -0.128173828125, -0.57275390625, -0.048675537109375, 0.1170654296875, 0.06915283203125, 0.46337890625, 0.7119140625, 0.017578125, 0.6240234375, 0.444580078125, -0.56591796875, 0.99462890625, 0.0982666015625, -1.3701171875, -0.5556640625, 0.5888671875, 0.1116943359375, 0.63916015625, -0.07879638671875, -0.82373046875, -0.95947265625, -0.677734375, 0.2139892578125, -0.962890625, -0.52490234375, -0.859375, -0.190673828125, -0.25390625, 0.6025390625, -0.32080078125, -0.77978515625, 0.2066650390625, -1.048828125, 0.62939453125, -0.7060546875, -0.254638671875, -0.857421875, -0.288330078125, -0.25439453125, 0.9453125, 0.139404296875, 0.359130859375, -0.0211639404296875, -0.322021484375, -0.0457763671875, -0.348388671875, -0.6015625, -0.406494140625, 0.10693359375, -0.012298583984375, -0.14892578125, -0.41015625, -0.55517578125, 0.8671875, -0.78076171875, 0.295654296875, -0.4423828125, -0.281005859375, 0.062286376953125, -0.279296875, 0.89208984375, -0.315673828125, 0.2080078125, -0.2117919921875, 0.537109375, 1.20703125, -0.27197265625, -0.306396484375, -0.7744140625, -0.625, -0.966796875, 0.56689453125, -0.73486328125, 0.061981201171875, -1.01953125, -0.245361328125, 0.95361328125, -0.439208984375, 0.390380859375, 0.9306640625, 0.1995849609375, 0.287353515625, -0.744140625, 0.66064453125, 0.47021484375, -0.415283203125, -0.1502685546875, -0.09222412109375, -0.3095703125, 0.289306640625, 0.1280517578125, -1.0263671875, -0.87939453125, 0.482666015625, 0.96826171875, -0.53466796875, 0.91943359375, 0.26123046875, -1.150390625, -0.47509765625, 0.6328125, 0.0772705078125, 0.06512451171875, 0.9697265625, -0.044952392578125, -0.1832275390625, 0.29296875, -0.05706787109375, -0.311767578125, -0.33203125, 0.9169921875, -0.47802734375, -0.50537109375, 0.9384765625, 0.9111328125, -1.2509765625, -1.0126953125, -0.468505859375, 0.01580810546875, 0.08343505859375, -0.79931640625, -0.11859130859375, 0.44140625, -0.58740234375, 0.1563720703125, 0.52490234375, -0.1158447265625, 0.470947265625, 0.240966796875, 0.263427734375, -0.448486328125, 0.5390625, 0.66748046875, -0.419921875, -0.62353515625, -1.064453125, -0.298583984375, -0.61669921875, 0.048736572265625, 0.61279296875, -0.1973876953125, 0.383056640625, 0.53515625, 0.265380859375, 0.724609375, -0.57568359375, -0.29443359375, 0.314453125, -1.0009765625, -0.30908203125, -0.25927734375, 0.46484375, -0.07904052734375, 0.334228515625, -0.357421875, -0.0291900634765625, 0.334716796875, 0.4873046875, -0.12322998046875, -0.7333984375, -0.147705078125, -0.96337890625, -0.6201171875, -0.48779296875, -0.525390625, 0.07537841796875, 0.052520751953125, -0.4697265625, -0.79248046875, 0.0243988037109375, 0.3369140625, -0.603515625, 1.029296875, -0.389404296875, 0.30126953125, -0.77001953125, -0.36279296875, -0.5732421875, -0.452392578125, -0.6484375, -0.200927734375, -0.54443359375, 0.3935546875, -0.225341796875, 0.371337890625, -0.203125, 0.236572265625, 0.09063720703125, -0.422607421875, 0.0711669921875, 0.1397705078125, -0.0270843505859375, 0.9892578125, 0.63916015625, -0.035736083984375, 0.359130859375, -0.2939453125, -0.658203125, -0.331298828125, 0.63232421875, 0.74072265625, 0.04730224609375, -0.146484375, -0.474609375, -0.1376953125, -1.173828125, 0.49658203125, -0.445068359375, 0.409912109375, 0.358154296875, -0.02593994140625, 0.650390625, 1.224609375, -0.179443359375, 0.29736328125, 0.381103515625, 0.474853515625, 0.34521484375, -0.05712890625, -0.1573486328125, 0.962890625, 0.16845703125, -0.372802734375, -0.0240631103515625, 0.4169921875, 0.66015625, 0.326904296875, -0.4306640625, -0.65283203125, -0.91455078125, 0.1611328125, 0.1639404296875, 0.33349609375, 1.05859375, -0.56298828125, -0.165283203125, -0.53466796875, -0.6474609375, -0.041351318359375, -0.927734375, -0.67919921875, 0.283447265625, 0.020843505859375, -0.391845703125, -0.036285400390625, -0.451416015625, -0.609375, -0.019775390625, 0.345458984375, -0.410888671875, 0.43896484375, -0.351806640625, 0.7568359375, -0.280517578125, 0.171142578125, 0.1346435546875, 0.6484375, -0.5625, -0.58251953125, -0.1956787109375, 1.25390625, 0.205322265625, 0.039337158203125, -0.492919921875, 0.1981201171875, -0.330810546875, 0.03564453125, -0.31884765625, 0.0243377685546875, -0.10394287109375, 0.78173828125, -0.72314453125, -0.047149658203125, -0.15283203125, 0.203857421875, 0.040771484375, -0.513671875, -0.609375, 0.83056640625, 0.65966796875, -0.08392333984375, 0.366455078125, 0.28662109375, 0.275146484375, -0.06976318359375, -0.181884765625, -0.2666015625, 0.309814453125, 0.5224609375, 0.57763671875, -0.266357421875, 0.44580078125, 0.455322265625, -0.2235107421875, -0.1412353515625, 0.003875732421875, 0.357666015625, 0.0251617431640625, 0.265380859375, -0.1873779296875, -0.09613037109375, 0.263916015625, -0.59521484375, 0.22265625, -0.1441650390625, 0.015106201171875, -0.29736328125, -0.5419921875, 0.6923828125, -0.4013671875, -0.1796875, -0.062347412109375, -0.76220703125, 0.599609375, 0.84423828125, 0.050506591796875, -0.050048828125, 0.9794921875, 0.461669921875, 0.271484375, 0.66015625, 0.56396484375, 0.1741943359375, -0.61181640625, 0.120849609375, 0.37158203125, 0.128173828125, -0.306396484375, -0.552734375, -0.73193359375, 0.63330078125, -0.40869140625, -0.31640625, 0.2218017578125, -0.80712890625, 0.0035533905029296875, -0.57861328125, 0.7607421875, -0.54638671875, 0.411865234375, 0.028106689453125, -0.52294921875, -0.5673828125, 0.90966796875, -0.083740234375, 0.53759765625, 0.1666259765625, 1.431640625, 0.109619140625, 1.3291015625, 0.591796875, -0.1270751953125, 0.1700439453125, 0.408935546875, -0.215087890625, -0.515625, -0.08001708984375, -0.411865234375, -0.061553955078125, -0.61767578125, -0.469482421875, -0.364013671875, 0.8583984375, 0.14990234375, -0.9580078125, -0.040374755859375, 0.09906005859375, -0.83642578125, 0.53076171875, -0.1461181640625, 0.495849609375, 0.1331787109375, 0.373291015625, -0.0986328125, -1.1494140625, 0.05303955078125, -0.50341796875, 0.50146484375, -0.48388671875, -0.5478515625, -0.287841796875, -0.703125, -0.26904296875, -0.266845703125, -0.349853515625, -0.49560546875, 0.64453125, 0.52685546875, 0.376953125, 0.267333984375, -0.61181640625, 0.256591796875, 0.85107421875, 1.033203125, -0.07080078125, 0.470947265625, 0.6171875, -0.476318359375, -0.177490234375, -0.73779296875, 0.426025390625, 0.150390625, 0.28076171875, -0.4814453125, 0.10821533203125, -0.65869140625, -1.1337890625, -0.220703125, 0.67236328125, 0.484130859375, -0.55712890625, -1.2119140625, -0.53857421875, -1.1005859375, -0.42236328125, -0.708984375, 0.371337890625, -0.07733154296875, 0.489013671875, 0.33447265625, -1.1162109375, 4.41796875, 0.9716796875, 0.76416015625, 0.32421875, 0.53759765625, 1.4150390625, 0.3671875, -0.6923828125, -0.1337890625, -0.84326171875, 0.5400390625, -0.28125, 0.09503173828125, 0.94482421875, -0.055877685546875, 0.6767578125, -1.048828125, -0.3203125, -0.11700439453125, -1.15234375, -0.81787109375, -0.2220458984375, 0.035247802734375, 0.338134765625, 0.043792724609375, 0.2393798828125, 0.467529296875, -0.951171875, -0.2215576171875, -0.5703125, -0.218505859375, -0.339111328125, 0.92724609375, 0.44482421875, -0.3193359375, 0.4443359375, -0.157958984375, -0.364990234375, -0.0343017578125, 0.2200927734375, -0.004444122314453125, 0.142822265625, 0.5390625, -0.4951171875, -0.057769775390625, 0.7724609375, -0.52001953125, 0.147216796875, -0.0936279296875, -0.78857421875, 0.69091796875, 0.06414794921875, 0.65869140625, -0.352783203125, -0.74462890625, 0.21484375, 0.4443359375, 0.214111328125, -0.434814453125, 0.258056640625, 0.1549072265625, 0.431396484375, 0.0316162109375, 0.455322265625, -1.044921875, 1.0673828125, -0.0362548828125, 0.297607421875, -0.609375, 0.1455078125, -0.30419921875, -0.28271484375, -0.355712890625, -0.1500244140625, 0.65576171875, 0.197509765625, -0.123779296875, 0.484130859375, 0.498046875, -0.3486328125, 0.3349609375, -0.488037109375, -0.48779296875, -0.21142578125, 0.67724609375, 1.0498046875, -0.40283203125, -0.0548095703125, 0.069580078125, 0.748046875, 0.52197265625, 0.7568359375, -0.064208984375, -0.76025390625, -0.450927734375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Submitted Solution: ``` from collections import Counter def solve(s): n = len(s) c = Counter(s) if max(c.values()) >= n - 1: return 'Impossible' for i in range(1, n): new_s = s[i:] + s[:i] if new_s == s: continue for j in range(n // 2 + 1): if new_s[j] != new_s[-j - 1]: break else: return 1 return 2 if __name__ == '__main__': s = input() print(solve(s)) ``` Yes
7,608
[ 0.09686279296875, -0.426513671875, -0.1845703125, -0.379150390625, -0.60791015625, -0.471923828125, 0.04937744140625, -0.2288818359375, -0.1976318359375, 0.6552734375, 0.79541015625, -0.218017578125, 0.2056884765625, -0.70166015625, -0.826171875, -0.0282440185546875, -0.97021484375, -0.7353515625, -0.57763671875, -0.404296875, 0.1727294921875, -0.0174407958984375, -1.3935546875, -0.1798095703125, -0.15625, 0.69873046875, 0.60791015625, 0.2457275390625, 1.060546875, 0.87890625, 0.0128936767578125, 0.10894775390625, 0.75537109375, -0.64501953125, -0.0045623779296875, -0.1981201171875, 0.20166015625, -0.60546875, -0.548828125, -0.5087890625, 0.11456298828125, -0.34814453125, 0.63818359375, -0.74560546875, -1.265625, 0.5048828125, -0.5185546875, -0.5986328125, -0.53271484375, -1.1650390625, 0.0555419921875, -0.317138671875, 0.056671142578125, 0.021240234375, 0.388671875, -0.03533935546875, 0.1656494140625, 0.255615234375, -0.63671875, 0.275390625, 0.30322265625, 0.0290985107421875, -0.340087890625, -0.79833984375, -0.376953125, -0.001617431640625, -0.034149169921875, -0.0064849853515625, 0.5234375, -0.91015625, -0.208740234375, 0.41845703125, -0.2481689453125, -0.494873046875, -0.55810546875, 0.193359375, 0.1241455078125, 0.2283935546875, -0.58447265625, 0.81982421875, 0.1812744140625, 1.162109375, 0.018646240234375, 0.203369140625, -0.31884765625, -0.58984375, 0.1456298828125, 0.323974609375, 0.1163330078125, -0.04345703125, -0.1883544921875, 0.61474609375, -0.1937255859375, 0.12445068359375, 0.439453125, 0.64892578125, -0.01104736328125, 0.47265625, 0.1302490234375, 0.1881103515625, 0.79833984375, 0.90625, -0.335205078125, 0.6455078125, -0.482421875, -0.1663818359375, 0.0306243896484375, 0.0950927734375, 0.263427734375, -0.412109375, 0.20556640625, -0.376953125, 0.46923828125, 0.27587890625, 0.1968994140625, 0.483642578125, 0.051910400390625, 0.3935546875, -0.955078125, 0.422119140625, 0.36328125, 0.189453125, 0.2493896484375, -0.218017578125, 0.327880859375, -0.11663818359375, -0.42578125, 0.99072265625, -0.564453125, -0.031707763671875, 0.5986328125, -0.0128173828125, -0.19775390625, 0.05487060546875, 0.0214996337890625, 0.52685546875, -0.07525634765625, 0.54541015625, 0.353759765625, -0.7529296875, 0.67431640625, -0.01361083984375, -0.11334228515625, 1.5693359375, 0.370849609375, -0.1944580078125, 0.72021484375, 0.279541015625, -0.97021484375, 0.59912109375, -0.64892578125, 0.697265625, 0.280029296875, -0.1080322265625, -0.2529296875, 0.24609375, 0.011810302734375, 0.365234375, 0.040252685546875, 0.07568359375, -0.1314697265625, 0.47265625, -0.18505859375, 0.85888671875, 0.03375244140625, 0.869140625, -0.5087890625, -0.57958984375, -0.14013671875, -0.385009765625, 0.1717529296875, 0.056427001953125, 0.051849365234375, 1.005859375, 0.623046875, 0.9296875, 0.88671875, -0.27294921875, 0.2091064453125, 0.50390625, -0.325927734375, 0.62255859375, 0.395751953125, 0.6962890625, -0.033782958984375, 0.368408203125, -0.1676025390625, -0.1666259765625, -0.4052734375, -0.2412109375, 0.0259246826171875, 0.70556640625, -0.369140625, 0.22265625, 0.12548828125, 0.17041015625, -0.90966796875, -0.30078125, 0.1298828125, -1.1875, -0.20751953125, 0.84130859375, -0.2303466796875, 0.529296875, -0.369873046875, -0.426513671875, 0.6298828125, 1.4365234375, -0.1839599609375, 0.117431640625, 0.276123046875, 0.187255859375, -0.15283203125, 0.007801055908203125, -0.089111328125, -0.08740234375, -0.76416015625, 0.8232421875, -0.2247314453125, -0.243896484375, -0.068115234375, 0.95263671875, 0.11175537109375, 0.4482421875, -0.7783203125, -0.42578125, 0.479736328125, 1.3515625, 0.09747314453125, -0.0022830963134765625, 0.19384765625, 0.7099609375, 0.441162109375, 0.7138671875, 0.5146484375, 0.0576171875, 0.6484375, 0.53466796875, -0.27001953125, -0.00846099853515625, 0.2041015625, 0.2958984375, 0.68798828125, 0.39453125, 0.384765625, 0.6572265625, -0.285888671875, -0.15283203125, -0.375244140625, 0.447998046875, -0.2091064453125, 0.79541015625, 0.5966796875, 0.2255859375, -0.490234375, -0.1246337890625, 0.55810546875, 0.62158203125, -0.76123046875, -1.087890625, 0.05584716796875, 0.055267333984375, 0.448974609375, -0.0616455078125, 0.2142333984375, 0.18896484375, 0.36669921875, 0.66943359375, -0.0738525390625, -0.77099609375, -0.82861328125, -1.1181640625, -0.8720703125, -0.417724609375, -0.54736328125, -0.198486328125, 0.472900390625, -1.03515625, 0.1260986328125, -0.037445068359375, -0.07763671875, -0.189697265625, -0.5107421875, 0.50537109375, -0.08770751953125, 0.90771484375, -0.31494140625, 0.8525390625, 0.148193359375, 1.0244140625, -0.39794921875, -0.1942138671875, -0.297119140625, -0.441162109375, 0.314453125, 0.10406494140625, 0.66455078125, -0.1202392578125, -0.6259765625, -1.1669921875, -0.228759765625, 0.0024166107177734375, -0.385009765625, 0.21435546875, -0.52490234375, 0.9091796875, 0.496826171875, -0.482177734375, 0.3974609375, 0.82958984375, -0.75830078125, 0.335693359375, 0.0178070068359375, -0.200439453125, -0.69873046875, 1.1572265625, 0.308349609375, 0.451416015625, -0.46630859375, -0.89208984375, -0.491455078125, 0.045654296875, 0.3271484375, -0.72021484375, -0.34228515625, 0.62841796875, 0.2479248046875, -0.921875, 0.7763671875, -1.1484375, -0.71630859375, -0.04931640625, -0.87060546875, 0.72802734375, 0.99267578125, 0.0266876220703125, -0.0899658203125, -0.435302734375, -0.1033935546875, 0.68505859375, 0.39404296875, -0.53125, -0.151123046875, 0.44287109375, 0.041748046875, 0.1484375, 0.269287109375, -0.46044921875, -0.278076171875, -0.1279296875, 0.183837890625, 0.5634765625, 0.299072265625, 0.7451171875, 0.1990966796875, 0.78564453125, -0.77734375, -0.449951171875, 0.036773681640625, 0.5458984375, 0.12548828125, 0.62109375, 0.0255584716796875, -0.310546875, -0.9716796875, -1.0478515625, 0.211669921875, 0.33447265625, 0.6650390625, -0.385986328125, 0.921875, -0.08026123046875, -0.62109375, 0.51171875, -0.8876953125, 0.06787109375, 0.92626953125, -0.3447265625, 0.96435546875, -0.56396484375, 0.525390625, -0.1529541015625, 0.1168212890625, 0.06402587890625, 0.046539306640625, 0.5478515625, -0.269775390625, -0.73583984375, -0.27392578125, 0.09991455078125, -0.051971435546875, -0.3359375, 0.430419921875, -0.61279296875, -0.5537109375, -0.7373046875, 0.859375, 0.442138671875, 0.509765625, -0.10321044921875, 0.457763671875, 0.363525390625, 0.484375, 0.5595703125, -0.1328125, 0.024688720703125, -0.62646484375, 1.25, 0.203369140625, -0.40380859375, -0.2099609375, -0.116455078125, -0.43896484375, -0.06829833984375, 0.1497802734375, 0.0413818359375, -1.17578125, 0.260986328125, 0.01538848876953125, 0.96826171875, -0.498779296875, -0.275390625, -0.2318115234375, 0.273681640625, 0.2095947265625, -0.83984375, -0.0316162109375, -0.75, 0.58837890625, 0.400634765625, -0.259033203125, -0.456298828125, -0.38427734375, -0.916015625, -0.72119140625, -0.0214691162109375, 0.82470703125, 0.06036376953125, 0.10430908203125, -1.423828125, 0.673828125, 0.282958984375, -0.337890625, 0.30322265625, -0.3017578125, 0.607421875, -0.358154296875, 0.66357421875, -0.251220703125, -0.72509765625, 0.08331298828125, -1.275390625, 0.52197265625, -0.0413818359375, 0.53125, -0.017974853515625, -0.53759765625, 0.1392822265625, 0.472900390625, -0.2529296875, 0.310791015625, -0.1298828125, 0.59716796875, -0.80517578125, -0.71826171875, 0.1602783203125, -0.266357421875, -0.360595703125, 0.625, 0.22607421875, -0.333740234375, 0.014556884765625, 0.339599609375, -0.069580078125, 0.400146484375, -0.5830078125, 0.625, -0.15234375, -0.404296875, -0.029449462890625, -0.454833984375, 0.69580078125, -0.338623046875, -0.76806640625, -0.44873046875, -1.3134765625, -0.23876953125, -0.2275390625, -0.2822265625, 0.26806640625, 0.254638671875, -0.4375, -0.0841064453125, -0.5029296875, -0.1024169921875, -0.50634765625, -0.56787109375, -0.71875, 0.3662109375, 0.57421875, 0.57470703125, 0.10906982421875, -0.29443359375, -0.155517578125, -0.07928466796875, 0.091552734375, -0.53076171875, -0.373046875, -0.128173828125, -0.57275390625, -0.048675537109375, 0.1170654296875, 0.06915283203125, 0.46337890625, 0.7119140625, 0.017578125, 0.6240234375, 0.444580078125, -0.56591796875, 0.99462890625, 0.0982666015625, -1.3701171875, -0.5556640625, 0.5888671875, 0.1116943359375, 0.63916015625, -0.07879638671875, -0.82373046875, -0.95947265625, -0.677734375, 0.2139892578125, -0.962890625, -0.52490234375, -0.859375, -0.190673828125, -0.25390625, 0.6025390625, -0.32080078125, -0.77978515625, 0.2066650390625, -1.048828125, 0.62939453125, -0.7060546875, -0.254638671875, -0.857421875, -0.288330078125, -0.25439453125, 0.9453125, 0.139404296875, 0.359130859375, -0.0211639404296875, -0.322021484375, -0.0457763671875, -0.348388671875, -0.6015625, -0.406494140625, 0.10693359375, -0.012298583984375, -0.14892578125, -0.41015625, -0.55517578125, 0.8671875, -0.78076171875, 0.295654296875, -0.4423828125, -0.281005859375, 0.062286376953125, -0.279296875, 0.89208984375, -0.315673828125, 0.2080078125, -0.2117919921875, 0.537109375, 1.20703125, -0.27197265625, -0.306396484375, -0.7744140625, -0.625, -0.966796875, 0.56689453125, -0.73486328125, 0.061981201171875, -1.01953125, -0.245361328125, 0.95361328125, -0.439208984375, 0.390380859375, 0.9306640625, 0.1995849609375, 0.287353515625, -0.744140625, 0.66064453125, 0.47021484375, -0.415283203125, -0.1502685546875, -0.09222412109375, -0.3095703125, 0.289306640625, 0.1280517578125, -1.0263671875, -0.87939453125, 0.482666015625, 0.96826171875, -0.53466796875, 0.91943359375, 0.26123046875, -1.150390625, -0.47509765625, 0.6328125, 0.0772705078125, 0.06512451171875, 0.9697265625, -0.044952392578125, -0.1832275390625, 0.29296875, -0.05706787109375, -0.311767578125, -0.33203125, 0.9169921875, -0.47802734375, -0.50537109375, 0.9384765625, 0.9111328125, -1.2509765625, -1.0126953125, -0.468505859375, 0.01580810546875, 0.08343505859375, -0.79931640625, -0.11859130859375, 0.44140625, -0.58740234375, 0.1563720703125, 0.52490234375, -0.1158447265625, 0.470947265625, 0.240966796875, 0.263427734375, -0.448486328125, 0.5390625, 0.66748046875, -0.419921875, -0.62353515625, -1.064453125, -0.298583984375, -0.61669921875, 0.048736572265625, 0.61279296875, -0.1973876953125, 0.383056640625, 0.53515625, 0.265380859375, 0.724609375, -0.57568359375, -0.29443359375, 0.314453125, -1.0009765625, -0.30908203125, -0.25927734375, 0.46484375, -0.07904052734375, 0.334228515625, -0.357421875, -0.0291900634765625, 0.334716796875, 0.4873046875, -0.12322998046875, -0.7333984375, -0.147705078125, -0.96337890625, -0.6201171875, -0.48779296875, -0.525390625, 0.07537841796875, 0.052520751953125, -0.4697265625, -0.79248046875, 0.0243988037109375, 0.3369140625, -0.603515625, 1.029296875, -0.389404296875, 0.30126953125, -0.77001953125, -0.36279296875, -0.5732421875, -0.452392578125, -0.6484375, -0.200927734375, -0.54443359375, 0.3935546875, -0.225341796875, 0.371337890625, -0.203125, 0.236572265625, 0.09063720703125, -0.422607421875, 0.0711669921875, 0.1397705078125, -0.0270843505859375, 0.9892578125, 0.63916015625, -0.035736083984375, 0.359130859375, -0.2939453125, -0.658203125, -0.331298828125, 0.63232421875, 0.74072265625, 0.04730224609375, -0.146484375, -0.474609375, -0.1376953125, -1.173828125, 0.49658203125, -0.445068359375, 0.409912109375, 0.358154296875, -0.02593994140625, 0.650390625, 1.224609375, -0.179443359375, 0.29736328125, 0.381103515625, 0.474853515625, 0.34521484375, -0.05712890625, -0.1573486328125, 0.962890625, 0.16845703125, -0.372802734375, -0.0240631103515625, 0.4169921875, 0.66015625, 0.326904296875, -0.4306640625, -0.65283203125, -0.91455078125, 0.1611328125, 0.1639404296875, 0.33349609375, 1.05859375, -0.56298828125, -0.165283203125, -0.53466796875, -0.6474609375, -0.041351318359375, -0.927734375, -0.67919921875, 0.283447265625, 0.020843505859375, -0.391845703125, -0.036285400390625, -0.451416015625, -0.609375, -0.019775390625, 0.345458984375, -0.410888671875, 0.43896484375, -0.351806640625, 0.7568359375, -0.280517578125, 0.171142578125, 0.1346435546875, 0.6484375, -0.5625, -0.58251953125, -0.1956787109375, 1.25390625, 0.205322265625, 0.039337158203125, -0.492919921875, 0.1981201171875, -0.330810546875, 0.03564453125, -0.31884765625, 0.0243377685546875, -0.10394287109375, 0.78173828125, -0.72314453125, -0.047149658203125, -0.15283203125, 0.203857421875, 0.040771484375, -0.513671875, -0.609375, 0.83056640625, 0.65966796875, -0.08392333984375, 0.366455078125, 0.28662109375, 0.275146484375, -0.06976318359375, -0.181884765625, -0.2666015625, 0.309814453125, 0.5224609375, 0.57763671875, -0.266357421875, 0.44580078125, 0.455322265625, -0.2235107421875, -0.1412353515625, 0.003875732421875, 0.357666015625, 0.0251617431640625, 0.265380859375, -0.1873779296875, -0.09613037109375, 0.263916015625, -0.59521484375, 0.22265625, -0.1441650390625, 0.015106201171875, -0.29736328125, -0.5419921875, 0.6923828125, -0.4013671875, -0.1796875, -0.062347412109375, -0.76220703125, 0.599609375, 0.84423828125, 0.050506591796875, -0.050048828125, 0.9794921875, 0.461669921875, 0.271484375, 0.66015625, 0.56396484375, 0.1741943359375, -0.61181640625, 0.120849609375, 0.37158203125, 0.128173828125, -0.306396484375, -0.552734375, -0.73193359375, 0.63330078125, -0.40869140625, -0.31640625, 0.2218017578125, -0.80712890625, 0.0035533905029296875, -0.57861328125, 0.7607421875, -0.54638671875, 0.411865234375, 0.028106689453125, -0.52294921875, -0.5673828125, 0.90966796875, -0.083740234375, 0.53759765625, 0.1666259765625, 1.431640625, 0.109619140625, 1.3291015625, 0.591796875, -0.1270751953125, 0.1700439453125, 0.408935546875, -0.215087890625, -0.515625, -0.08001708984375, -0.411865234375, -0.061553955078125, -0.61767578125, -0.469482421875, -0.364013671875, 0.8583984375, 0.14990234375, -0.9580078125, -0.040374755859375, 0.09906005859375, -0.83642578125, 0.53076171875, -0.1461181640625, 0.495849609375, 0.1331787109375, 0.373291015625, -0.0986328125, -1.1494140625, 0.05303955078125, -0.50341796875, 0.50146484375, -0.48388671875, -0.5478515625, -0.287841796875, -0.703125, -0.26904296875, -0.266845703125, -0.349853515625, -0.49560546875, 0.64453125, 0.52685546875, 0.376953125, 0.267333984375, -0.61181640625, 0.256591796875, 0.85107421875, 1.033203125, -0.07080078125, 0.470947265625, 0.6171875, -0.476318359375, -0.177490234375, -0.73779296875, 0.426025390625, 0.150390625, 0.28076171875, -0.4814453125, 0.10821533203125, -0.65869140625, -1.1337890625, -0.220703125, 0.67236328125, 0.484130859375, -0.55712890625, -1.2119140625, -0.53857421875, -1.1005859375, -0.42236328125, -0.708984375, 0.371337890625, -0.07733154296875, 0.489013671875, 0.33447265625, -1.1162109375, 4.41796875, 0.9716796875, 0.76416015625, 0.32421875, 0.53759765625, 1.4150390625, 0.3671875, -0.6923828125, -0.1337890625, -0.84326171875, 0.5400390625, -0.28125, 0.09503173828125, 0.94482421875, -0.055877685546875, 0.6767578125, -1.048828125, -0.3203125, -0.11700439453125, -1.15234375, -0.81787109375, -0.2220458984375, 0.035247802734375, 0.338134765625, 0.043792724609375, 0.2393798828125, 0.467529296875, -0.951171875, -0.2215576171875, -0.5703125, -0.218505859375, -0.339111328125, 0.92724609375, 0.44482421875, -0.3193359375, 0.4443359375, -0.157958984375, -0.364990234375, -0.0343017578125, 0.2200927734375, -0.004444122314453125, 0.142822265625, 0.5390625, -0.4951171875, -0.057769775390625, 0.7724609375, -0.52001953125, 0.147216796875, -0.0936279296875, -0.78857421875, 0.69091796875, 0.06414794921875, 0.65869140625, -0.352783203125, -0.74462890625, 0.21484375, 0.4443359375, 0.214111328125, -0.434814453125, 0.258056640625, 0.1549072265625, 0.431396484375, 0.0316162109375, 0.455322265625, -1.044921875, 1.0673828125, -0.0362548828125, 0.297607421875, -0.609375, 0.1455078125, -0.30419921875, -0.28271484375, -0.355712890625, -0.1500244140625, 0.65576171875, 0.197509765625, -0.123779296875, 0.484130859375, 0.498046875, -0.3486328125, 0.3349609375, -0.488037109375, -0.48779296875, -0.21142578125, 0.67724609375, 1.0498046875, -0.40283203125, -0.0548095703125, 0.069580078125, 0.748046875, 0.52197265625, 0.7568359375, -0.064208984375, -0.76025390625, -0.450927734375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Submitted Solution: ``` import sys from collections import deque import math input_ = lambda: sys.stdin.readline().strip("\r\n") ii = lambda : int(input_()) il = lambda : list(map(int, input_().split())) ilf = lambda : list(map(float, input_().split())) ip = lambda : input_() fi = lambda : float(input_()) li = lambda : list(input_()) pr = lambda x : print(x) prinT = lambda x : print(x) f = lambda : sys.stdout.flush() s = ip() l = len(s) for i in range (1,l-1) : x = s[i:] + s[:i] if (x == x[::-1] and s != x) : print(1) exit(0) for j in range(1,l//2 + l%2) : x = s[-j:] + s[j:-j] + s[:j] #print(x) if (x == x[::-1] and x!=s) : print(2) exit(0) print("Impossible") ``` Yes
7,609
[ 0.09686279296875, -0.426513671875, -0.1845703125, -0.379150390625, -0.60791015625, -0.471923828125, 0.04937744140625, -0.2288818359375, -0.1976318359375, 0.6552734375, 0.79541015625, -0.218017578125, 0.2056884765625, -0.70166015625, -0.826171875, -0.0282440185546875, -0.97021484375, -0.7353515625, -0.57763671875, -0.404296875, 0.1727294921875, -0.0174407958984375, -1.3935546875, -0.1798095703125, -0.15625, 0.69873046875, 0.60791015625, 0.2457275390625, 1.060546875, 0.87890625, 0.0128936767578125, 0.10894775390625, 0.75537109375, -0.64501953125, -0.0045623779296875, -0.1981201171875, 0.20166015625, -0.60546875, -0.548828125, -0.5087890625, 0.11456298828125, -0.34814453125, 0.63818359375, -0.74560546875, -1.265625, 0.5048828125, -0.5185546875, -0.5986328125, -0.53271484375, -1.1650390625, 0.0555419921875, -0.317138671875, 0.056671142578125, 0.021240234375, 0.388671875, -0.03533935546875, 0.1656494140625, 0.255615234375, -0.63671875, 0.275390625, 0.30322265625, 0.0290985107421875, -0.340087890625, -0.79833984375, -0.376953125, -0.001617431640625, -0.034149169921875, -0.0064849853515625, 0.5234375, -0.91015625, -0.208740234375, 0.41845703125, -0.2481689453125, -0.494873046875, -0.55810546875, 0.193359375, 0.1241455078125, 0.2283935546875, -0.58447265625, 0.81982421875, 0.1812744140625, 1.162109375, 0.018646240234375, 0.203369140625, -0.31884765625, -0.58984375, 0.1456298828125, 0.323974609375, 0.1163330078125, -0.04345703125, -0.1883544921875, 0.61474609375, -0.1937255859375, 0.12445068359375, 0.439453125, 0.64892578125, -0.01104736328125, 0.47265625, 0.1302490234375, 0.1881103515625, 0.79833984375, 0.90625, -0.335205078125, 0.6455078125, -0.482421875, -0.1663818359375, 0.0306243896484375, 0.0950927734375, 0.263427734375, -0.412109375, 0.20556640625, -0.376953125, 0.46923828125, 0.27587890625, 0.1968994140625, 0.483642578125, 0.051910400390625, 0.3935546875, -0.955078125, 0.422119140625, 0.36328125, 0.189453125, 0.2493896484375, -0.218017578125, 0.327880859375, -0.11663818359375, -0.42578125, 0.99072265625, -0.564453125, -0.031707763671875, 0.5986328125, -0.0128173828125, -0.19775390625, 0.05487060546875, 0.0214996337890625, 0.52685546875, -0.07525634765625, 0.54541015625, 0.353759765625, -0.7529296875, 0.67431640625, -0.01361083984375, -0.11334228515625, 1.5693359375, 0.370849609375, -0.1944580078125, 0.72021484375, 0.279541015625, -0.97021484375, 0.59912109375, -0.64892578125, 0.697265625, 0.280029296875, -0.1080322265625, -0.2529296875, 0.24609375, 0.011810302734375, 0.365234375, 0.040252685546875, 0.07568359375, -0.1314697265625, 0.47265625, -0.18505859375, 0.85888671875, 0.03375244140625, 0.869140625, -0.5087890625, -0.57958984375, -0.14013671875, -0.385009765625, 0.1717529296875, 0.056427001953125, 0.051849365234375, 1.005859375, 0.623046875, 0.9296875, 0.88671875, -0.27294921875, 0.2091064453125, 0.50390625, -0.325927734375, 0.62255859375, 0.395751953125, 0.6962890625, -0.033782958984375, 0.368408203125, -0.1676025390625, -0.1666259765625, -0.4052734375, -0.2412109375, 0.0259246826171875, 0.70556640625, -0.369140625, 0.22265625, 0.12548828125, 0.17041015625, -0.90966796875, -0.30078125, 0.1298828125, -1.1875, -0.20751953125, 0.84130859375, -0.2303466796875, 0.529296875, -0.369873046875, -0.426513671875, 0.6298828125, 1.4365234375, -0.1839599609375, 0.117431640625, 0.276123046875, 0.187255859375, -0.15283203125, 0.007801055908203125, -0.089111328125, -0.08740234375, -0.76416015625, 0.8232421875, -0.2247314453125, -0.243896484375, -0.068115234375, 0.95263671875, 0.11175537109375, 0.4482421875, -0.7783203125, -0.42578125, 0.479736328125, 1.3515625, 0.09747314453125, -0.0022830963134765625, 0.19384765625, 0.7099609375, 0.441162109375, 0.7138671875, 0.5146484375, 0.0576171875, 0.6484375, 0.53466796875, -0.27001953125, -0.00846099853515625, 0.2041015625, 0.2958984375, 0.68798828125, 0.39453125, 0.384765625, 0.6572265625, -0.285888671875, -0.15283203125, -0.375244140625, 0.447998046875, -0.2091064453125, 0.79541015625, 0.5966796875, 0.2255859375, -0.490234375, -0.1246337890625, 0.55810546875, 0.62158203125, -0.76123046875, -1.087890625, 0.05584716796875, 0.055267333984375, 0.448974609375, -0.0616455078125, 0.2142333984375, 0.18896484375, 0.36669921875, 0.66943359375, -0.0738525390625, -0.77099609375, -0.82861328125, -1.1181640625, -0.8720703125, -0.417724609375, -0.54736328125, -0.198486328125, 0.472900390625, -1.03515625, 0.1260986328125, -0.037445068359375, -0.07763671875, -0.189697265625, -0.5107421875, 0.50537109375, -0.08770751953125, 0.90771484375, -0.31494140625, 0.8525390625, 0.148193359375, 1.0244140625, -0.39794921875, -0.1942138671875, -0.297119140625, -0.441162109375, 0.314453125, 0.10406494140625, 0.66455078125, -0.1202392578125, -0.6259765625, -1.1669921875, -0.228759765625, 0.0024166107177734375, -0.385009765625, 0.21435546875, -0.52490234375, 0.9091796875, 0.496826171875, -0.482177734375, 0.3974609375, 0.82958984375, -0.75830078125, 0.335693359375, 0.0178070068359375, -0.200439453125, -0.69873046875, 1.1572265625, 0.308349609375, 0.451416015625, -0.46630859375, -0.89208984375, -0.491455078125, 0.045654296875, 0.3271484375, -0.72021484375, -0.34228515625, 0.62841796875, 0.2479248046875, -0.921875, 0.7763671875, -1.1484375, -0.71630859375, -0.04931640625, -0.87060546875, 0.72802734375, 0.99267578125, 0.0266876220703125, -0.0899658203125, -0.435302734375, -0.1033935546875, 0.68505859375, 0.39404296875, -0.53125, -0.151123046875, 0.44287109375, 0.041748046875, 0.1484375, 0.269287109375, -0.46044921875, -0.278076171875, -0.1279296875, 0.183837890625, 0.5634765625, 0.299072265625, 0.7451171875, 0.1990966796875, 0.78564453125, -0.77734375, -0.449951171875, 0.036773681640625, 0.5458984375, 0.12548828125, 0.62109375, 0.0255584716796875, -0.310546875, -0.9716796875, -1.0478515625, 0.211669921875, 0.33447265625, 0.6650390625, -0.385986328125, 0.921875, -0.08026123046875, -0.62109375, 0.51171875, -0.8876953125, 0.06787109375, 0.92626953125, -0.3447265625, 0.96435546875, -0.56396484375, 0.525390625, -0.1529541015625, 0.1168212890625, 0.06402587890625, 0.046539306640625, 0.5478515625, -0.269775390625, -0.73583984375, -0.27392578125, 0.09991455078125, -0.051971435546875, -0.3359375, 0.430419921875, -0.61279296875, -0.5537109375, -0.7373046875, 0.859375, 0.442138671875, 0.509765625, -0.10321044921875, 0.457763671875, 0.363525390625, 0.484375, 0.5595703125, -0.1328125, 0.024688720703125, -0.62646484375, 1.25, 0.203369140625, -0.40380859375, -0.2099609375, -0.116455078125, -0.43896484375, -0.06829833984375, 0.1497802734375, 0.0413818359375, -1.17578125, 0.260986328125, 0.01538848876953125, 0.96826171875, -0.498779296875, -0.275390625, -0.2318115234375, 0.273681640625, 0.2095947265625, -0.83984375, -0.0316162109375, -0.75, 0.58837890625, 0.400634765625, -0.259033203125, -0.456298828125, -0.38427734375, -0.916015625, -0.72119140625, -0.0214691162109375, 0.82470703125, 0.06036376953125, 0.10430908203125, -1.423828125, 0.673828125, 0.282958984375, -0.337890625, 0.30322265625, -0.3017578125, 0.607421875, -0.358154296875, 0.66357421875, -0.251220703125, -0.72509765625, 0.08331298828125, -1.275390625, 0.52197265625, -0.0413818359375, 0.53125, -0.017974853515625, -0.53759765625, 0.1392822265625, 0.472900390625, -0.2529296875, 0.310791015625, -0.1298828125, 0.59716796875, -0.80517578125, -0.71826171875, 0.1602783203125, -0.266357421875, -0.360595703125, 0.625, 0.22607421875, -0.333740234375, 0.014556884765625, 0.339599609375, -0.069580078125, 0.400146484375, -0.5830078125, 0.625, -0.15234375, -0.404296875, -0.029449462890625, -0.454833984375, 0.69580078125, -0.338623046875, -0.76806640625, -0.44873046875, -1.3134765625, -0.23876953125, -0.2275390625, -0.2822265625, 0.26806640625, 0.254638671875, -0.4375, -0.0841064453125, -0.5029296875, -0.1024169921875, -0.50634765625, -0.56787109375, -0.71875, 0.3662109375, 0.57421875, 0.57470703125, 0.10906982421875, -0.29443359375, -0.155517578125, -0.07928466796875, 0.091552734375, -0.53076171875, -0.373046875, -0.128173828125, -0.57275390625, -0.048675537109375, 0.1170654296875, 0.06915283203125, 0.46337890625, 0.7119140625, 0.017578125, 0.6240234375, 0.444580078125, -0.56591796875, 0.99462890625, 0.0982666015625, -1.3701171875, -0.5556640625, 0.5888671875, 0.1116943359375, 0.63916015625, -0.07879638671875, -0.82373046875, -0.95947265625, -0.677734375, 0.2139892578125, -0.962890625, -0.52490234375, -0.859375, -0.190673828125, -0.25390625, 0.6025390625, -0.32080078125, -0.77978515625, 0.2066650390625, -1.048828125, 0.62939453125, -0.7060546875, -0.254638671875, -0.857421875, -0.288330078125, -0.25439453125, 0.9453125, 0.139404296875, 0.359130859375, -0.0211639404296875, -0.322021484375, -0.0457763671875, -0.348388671875, -0.6015625, -0.406494140625, 0.10693359375, -0.012298583984375, -0.14892578125, -0.41015625, -0.55517578125, 0.8671875, -0.78076171875, 0.295654296875, -0.4423828125, -0.281005859375, 0.062286376953125, -0.279296875, 0.89208984375, -0.315673828125, 0.2080078125, -0.2117919921875, 0.537109375, 1.20703125, -0.27197265625, -0.306396484375, -0.7744140625, -0.625, -0.966796875, 0.56689453125, -0.73486328125, 0.061981201171875, -1.01953125, -0.245361328125, 0.95361328125, -0.439208984375, 0.390380859375, 0.9306640625, 0.1995849609375, 0.287353515625, -0.744140625, 0.66064453125, 0.47021484375, -0.415283203125, -0.1502685546875, -0.09222412109375, -0.3095703125, 0.289306640625, 0.1280517578125, -1.0263671875, -0.87939453125, 0.482666015625, 0.96826171875, -0.53466796875, 0.91943359375, 0.26123046875, -1.150390625, -0.47509765625, 0.6328125, 0.0772705078125, 0.06512451171875, 0.9697265625, -0.044952392578125, -0.1832275390625, 0.29296875, -0.05706787109375, -0.311767578125, -0.33203125, 0.9169921875, -0.47802734375, -0.50537109375, 0.9384765625, 0.9111328125, -1.2509765625, -1.0126953125, -0.468505859375, 0.01580810546875, 0.08343505859375, -0.79931640625, -0.11859130859375, 0.44140625, -0.58740234375, 0.1563720703125, 0.52490234375, -0.1158447265625, 0.470947265625, 0.240966796875, 0.263427734375, -0.448486328125, 0.5390625, 0.66748046875, -0.419921875, -0.62353515625, -1.064453125, -0.298583984375, -0.61669921875, 0.048736572265625, 0.61279296875, -0.1973876953125, 0.383056640625, 0.53515625, 0.265380859375, 0.724609375, -0.57568359375, -0.29443359375, 0.314453125, -1.0009765625, -0.30908203125, -0.25927734375, 0.46484375, -0.07904052734375, 0.334228515625, -0.357421875, -0.0291900634765625, 0.334716796875, 0.4873046875, -0.12322998046875, -0.7333984375, -0.147705078125, -0.96337890625, -0.6201171875, -0.48779296875, -0.525390625, 0.07537841796875, 0.052520751953125, -0.4697265625, -0.79248046875, 0.0243988037109375, 0.3369140625, -0.603515625, 1.029296875, -0.389404296875, 0.30126953125, -0.77001953125, -0.36279296875, -0.5732421875, -0.452392578125, -0.6484375, -0.200927734375, -0.54443359375, 0.3935546875, -0.225341796875, 0.371337890625, -0.203125, 0.236572265625, 0.09063720703125, -0.422607421875, 0.0711669921875, 0.1397705078125, -0.0270843505859375, 0.9892578125, 0.63916015625, -0.035736083984375, 0.359130859375, -0.2939453125, -0.658203125, -0.331298828125, 0.63232421875, 0.74072265625, 0.04730224609375, -0.146484375, -0.474609375, -0.1376953125, -1.173828125, 0.49658203125, -0.445068359375, 0.409912109375, 0.358154296875, -0.02593994140625, 0.650390625, 1.224609375, -0.179443359375, 0.29736328125, 0.381103515625, 0.474853515625, 0.34521484375, -0.05712890625, -0.1573486328125, 0.962890625, 0.16845703125, -0.372802734375, -0.0240631103515625, 0.4169921875, 0.66015625, 0.326904296875, -0.4306640625, -0.65283203125, -0.91455078125, 0.1611328125, 0.1639404296875, 0.33349609375, 1.05859375, -0.56298828125, -0.165283203125, -0.53466796875, -0.6474609375, -0.041351318359375, -0.927734375, -0.67919921875, 0.283447265625, 0.020843505859375, -0.391845703125, -0.036285400390625, -0.451416015625, -0.609375, -0.019775390625, 0.345458984375, -0.410888671875, 0.43896484375, -0.351806640625, 0.7568359375, -0.280517578125, 0.171142578125, 0.1346435546875, 0.6484375, -0.5625, -0.58251953125, -0.1956787109375, 1.25390625, 0.205322265625, 0.039337158203125, -0.492919921875, 0.1981201171875, -0.330810546875, 0.03564453125, -0.31884765625, 0.0243377685546875, -0.10394287109375, 0.78173828125, -0.72314453125, -0.047149658203125, -0.15283203125, 0.203857421875, 0.040771484375, -0.513671875, -0.609375, 0.83056640625, 0.65966796875, -0.08392333984375, 0.366455078125, 0.28662109375, 0.275146484375, -0.06976318359375, -0.181884765625, -0.2666015625, 0.309814453125, 0.5224609375, 0.57763671875, -0.266357421875, 0.44580078125, 0.455322265625, -0.2235107421875, -0.1412353515625, 0.003875732421875, 0.357666015625, 0.0251617431640625, 0.265380859375, -0.1873779296875, -0.09613037109375, 0.263916015625, -0.59521484375, 0.22265625, -0.1441650390625, 0.015106201171875, -0.29736328125, -0.5419921875, 0.6923828125, -0.4013671875, -0.1796875, -0.062347412109375, -0.76220703125, 0.599609375, 0.84423828125, 0.050506591796875, -0.050048828125, 0.9794921875, 0.461669921875, 0.271484375, 0.66015625, 0.56396484375, 0.1741943359375, -0.61181640625, 0.120849609375, 0.37158203125, 0.128173828125, -0.306396484375, -0.552734375, -0.73193359375, 0.63330078125, -0.40869140625, -0.31640625, 0.2218017578125, -0.80712890625, 0.0035533905029296875, -0.57861328125, 0.7607421875, -0.54638671875, 0.411865234375, 0.028106689453125, -0.52294921875, -0.5673828125, 0.90966796875, -0.083740234375, 0.53759765625, 0.1666259765625, 1.431640625, 0.109619140625, 1.3291015625, 0.591796875, -0.1270751953125, 0.1700439453125, 0.408935546875, -0.215087890625, -0.515625, -0.08001708984375, -0.411865234375, -0.061553955078125, -0.61767578125, -0.469482421875, -0.364013671875, 0.8583984375, 0.14990234375, -0.9580078125, -0.040374755859375, 0.09906005859375, -0.83642578125, 0.53076171875, -0.1461181640625, 0.495849609375, 0.1331787109375, 0.373291015625, -0.0986328125, -1.1494140625, 0.05303955078125, -0.50341796875, 0.50146484375, -0.48388671875, -0.5478515625, -0.287841796875, -0.703125, -0.26904296875, -0.266845703125, -0.349853515625, -0.49560546875, 0.64453125, 0.52685546875, 0.376953125, 0.267333984375, -0.61181640625, 0.256591796875, 0.85107421875, 1.033203125, -0.07080078125, 0.470947265625, 0.6171875, -0.476318359375, -0.177490234375, -0.73779296875, 0.426025390625, 0.150390625, 0.28076171875, -0.4814453125, 0.10821533203125, -0.65869140625, -1.1337890625, -0.220703125, 0.67236328125, 0.484130859375, -0.55712890625, -1.2119140625, -0.53857421875, -1.1005859375, -0.42236328125, -0.708984375, 0.371337890625, -0.07733154296875, 0.489013671875, 0.33447265625, -1.1162109375, 4.41796875, 0.9716796875, 0.76416015625, 0.32421875, 0.53759765625, 1.4150390625, 0.3671875, -0.6923828125, -0.1337890625, -0.84326171875, 0.5400390625, -0.28125, 0.09503173828125, 0.94482421875, -0.055877685546875, 0.6767578125, -1.048828125, -0.3203125, -0.11700439453125, -1.15234375, -0.81787109375, -0.2220458984375, 0.035247802734375, 0.338134765625, 0.043792724609375, 0.2393798828125, 0.467529296875, -0.951171875, -0.2215576171875, -0.5703125, -0.218505859375, -0.339111328125, 0.92724609375, 0.44482421875, -0.3193359375, 0.4443359375, -0.157958984375, -0.364990234375, -0.0343017578125, 0.2200927734375, -0.004444122314453125, 0.142822265625, 0.5390625, -0.4951171875, -0.057769775390625, 0.7724609375, -0.52001953125, 0.147216796875, -0.0936279296875, -0.78857421875, 0.69091796875, 0.06414794921875, 0.65869140625, -0.352783203125, -0.74462890625, 0.21484375, 0.4443359375, 0.214111328125, -0.434814453125, 0.258056640625, 0.1549072265625, 0.431396484375, 0.0316162109375, 0.455322265625, -1.044921875, 1.0673828125, -0.0362548828125, 0.297607421875, -0.609375, 0.1455078125, -0.30419921875, -0.28271484375, -0.355712890625, -0.1500244140625, 0.65576171875, 0.197509765625, -0.123779296875, 0.484130859375, 0.498046875, -0.3486328125, 0.3349609375, -0.488037109375, -0.48779296875, -0.21142578125, 0.67724609375, 1.0498046875, -0.40283203125, -0.0548095703125, 0.069580078125, 0.748046875, 0.52197265625, 0.7568359375, -0.064208984375, -0.76025390625, -0.450927734375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Submitted Solution: ``` # | # _` | __ \ _` | __| _ \ __ \ _` | _` | # ( | | | ( | ( ( | | | ( | ( | # \__,_| _| _| \__,_| \___| \___/ _| _| \__,_| \__,_| import sys import math def read_line(): return sys.stdin.readline()[:-1] def read_int(): return int(sys.stdin.readline()) def read_int_line(): return [int(v) for v in sys.stdin.readline().split()] def reverse(s): return s[::-1] def isPalindrome(s): # Calling reverse function rev = reverse(s) # Checking if both string are equal or not if (s == rev): return True return False s = read_line() n = len(s) d = {} for i in s: if i not in d: d[i] = 1 else: d[i] +=1 f = True if n&1==1 and len(list(d.keys())) <= 2 : f = False elif n&1 != 1 and len(list(d.keys())) == 1: f = False ans = 2 for i in range(1,n): pre = s[:i] post = s[i:] if isPalindrome(post+pre): if post+pre != s: ans = 1 break if f: print(ans) else: print("Impossible") ``` No
7,610
[ 0.09686279296875, -0.426513671875, -0.1845703125, -0.379150390625, -0.60791015625, -0.471923828125, 0.04937744140625, -0.2288818359375, -0.1976318359375, 0.6552734375, 0.79541015625, -0.218017578125, 0.2056884765625, -0.70166015625, -0.826171875, -0.0282440185546875, -0.97021484375, -0.7353515625, -0.57763671875, -0.404296875, 0.1727294921875, -0.0174407958984375, -1.3935546875, -0.1798095703125, -0.15625, 0.69873046875, 0.60791015625, 0.2457275390625, 1.060546875, 0.87890625, 0.0128936767578125, 0.10894775390625, 0.75537109375, -0.64501953125, -0.0045623779296875, -0.1981201171875, 0.20166015625, -0.60546875, -0.548828125, -0.5087890625, 0.11456298828125, -0.34814453125, 0.63818359375, -0.74560546875, -1.265625, 0.5048828125, -0.5185546875, -0.5986328125, -0.53271484375, -1.1650390625, 0.0555419921875, -0.317138671875, 0.056671142578125, 0.021240234375, 0.388671875, -0.03533935546875, 0.1656494140625, 0.255615234375, -0.63671875, 0.275390625, 0.30322265625, 0.0290985107421875, -0.340087890625, -0.79833984375, -0.376953125, -0.001617431640625, -0.034149169921875, -0.0064849853515625, 0.5234375, -0.91015625, -0.208740234375, 0.41845703125, -0.2481689453125, -0.494873046875, -0.55810546875, 0.193359375, 0.1241455078125, 0.2283935546875, -0.58447265625, 0.81982421875, 0.1812744140625, 1.162109375, 0.018646240234375, 0.203369140625, -0.31884765625, -0.58984375, 0.1456298828125, 0.323974609375, 0.1163330078125, -0.04345703125, -0.1883544921875, 0.61474609375, -0.1937255859375, 0.12445068359375, 0.439453125, 0.64892578125, -0.01104736328125, 0.47265625, 0.1302490234375, 0.1881103515625, 0.79833984375, 0.90625, -0.335205078125, 0.6455078125, -0.482421875, -0.1663818359375, 0.0306243896484375, 0.0950927734375, 0.263427734375, -0.412109375, 0.20556640625, -0.376953125, 0.46923828125, 0.27587890625, 0.1968994140625, 0.483642578125, 0.051910400390625, 0.3935546875, -0.955078125, 0.422119140625, 0.36328125, 0.189453125, 0.2493896484375, -0.218017578125, 0.327880859375, -0.11663818359375, -0.42578125, 0.99072265625, -0.564453125, -0.031707763671875, 0.5986328125, -0.0128173828125, -0.19775390625, 0.05487060546875, 0.0214996337890625, 0.52685546875, -0.07525634765625, 0.54541015625, 0.353759765625, -0.7529296875, 0.67431640625, -0.01361083984375, -0.11334228515625, 1.5693359375, 0.370849609375, -0.1944580078125, 0.72021484375, 0.279541015625, -0.97021484375, 0.59912109375, -0.64892578125, 0.697265625, 0.280029296875, -0.1080322265625, -0.2529296875, 0.24609375, 0.011810302734375, 0.365234375, 0.040252685546875, 0.07568359375, -0.1314697265625, 0.47265625, -0.18505859375, 0.85888671875, 0.03375244140625, 0.869140625, -0.5087890625, -0.57958984375, -0.14013671875, -0.385009765625, 0.1717529296875, 0.056427001953125, 0.051849365234375, 1.005859375, 0.623046875, 0.9296875, 0.88671875, -0.27294921875, 0.2091064453125, 0.50390625, -0.325927734375, 0.62255859375, 0.395751953125, 0.6962890625, -0.033782958984375, 0.368408203125, -0.1676025390625, -0.1666259765625, -0.4052734375, -0.2412109375, 0.0259246826171875, 0.70556640625, -0.369140625, 0.22265625, 0.12548828125, 0.17041015625, -0.90966796875, -0.30078125, 0.1298828125, -1.1875, -0.20751953125, 0.84130859375, -0.2303466796875, 0.529296875, -0.369873046875, -0.426513671875, 0.6298828125, 1.4365234375, -0.1839599609375, 0.117431640625, 0.276123046875, 0.187255859375, -0.15283203125, 0.007801055908203125, -0.089111328125, -0.08740234375, -0.76416015625, 0.8232421875, -0.2247314453125, -0.243896484375, -0.068115234375, 0.95263671875, 0.11175537109375, 0.4482421875, -0.7783203125, -0.42578125, 0.479736328125, 1.3515625, 0.09747314453125, -0.0022830963134765625, 0.19384765625, 0.7099609375, 0.441162109375, 0.7138671875, 0.5146484375, 0.0576171875, 0.6484375, 0.53466796875, -0.27001953125, -0.00846099853515625, 0.2041015625, 0.2958984375, 0.68798828125, 0.39453125, 0.384765625, 0.6572265625, -0.285888671875, -0.15283203125, -0.375244140625, 0.447998046875, -0.2091064453125, 0.79541015625, 0.5966796875, 0.2255859375, -0.490234375, -0.1246337890625, 0.55810546875, 0.62158203125, -0.76123046875, -1.087890625, 0.05584716796875, 0.055267333984375, 0.448974609375, -0.0616455078125, 0.2142333984375, 0.18896484375, 0.36669921875, 0.66943359375, -0.0738525390625, -0.77099609375, -0.82861328125, -1.1181640625, -0.8720703125, -0.417724609375, -0.54736328125, -0.198486328125, 0.472900390625, -1.03515625, 0.1260986328125, -0.037445068359375, -0.07763671875, -0.189697265625, -0.5107421875, 0.50537109375, -0.08770751953125, 0.90771484375, -0.31494140625, 0.8525390625, 0.148193359375, 1.0244140625, -0.39794921875, -0.1942138671875, -0.297119140625, -0.441162109375, 0.314453125, 0.10406494140625, 0.66455078125, -0.1202392578125, -0.6259765625, -1.1669921875, -0.228759765625, 0.0024166107177734375, -0.385009765625, 0.21435546875, -0.52490234375, 0.9091796875, 0.496826171875, -0.482177734375, 0.3974609375, 0.82958984375, -0.75830078125, 0.335693359375, 0.0178070068359375, -0.200439453125, -0.69873046875, 1.1572265625, 0.308349609375, 0.451416015625, -0.46630859375, -0.89208984375, -0.491455078125, 0.045654296875, 0.3271484375, -0.72021484375, -0.34228515625, 0.62841796875, 0.2479248046875, -0.921875, 0.7763671875, -1.1484375, -0.71630859375, -0.04931640625, -0.87060546875, 0.72802734375, 0.99267578125, 0.0266876220703125, -0.0899658203125, -0.435302734375, -0.1033935546875, 0.68505859375, 0.39404296875, -0.53125, -0.151123046875, 0.44287109375, 0.041748046875, 0.1484375, 0.269287109375, -0.46044921875, -0.278076171875, -0.1279296875, 0.183837890625, 0.5634765625, 0.299072265625, 0.7451171875, 0.1990966796875, 0.78564453125, -0.77734375, -0.449951171875, 0.036773681640625, 0.5458984375, 0.12548828125, 0.62109375, 0.0255584716796875, -0.310546875, -0.9716796875, -1.0478515625, 0.211669921875, 0.33447265625, 0.6650390625, -0.385986328125, 0.921875, -0.08026123046875, -0.62109375, 0.51171875, -0.8876953125, 0.06787109375, 0.92626953125, -0.3447265625, 0.96435546875, -0.56396484375, 0.525390625, -0.1529541015625, 0.1168212890625, 0.06402587890625, 0.046539306640625, 0.5478515625, -0.269775390625, -0.73583984375, -0.27392578125, 0.09991455078125, -0.051971435546875, -0.3359375, 0.430419921875, -0.61279296875, -0.5537109375, -0.7373046875, 0.859375, 0.442138671875, 0.509765625, -0.10321044921875, 0.457763671875, 0.363525390625, 0.484375, 0.5595703125, -0.1328125, 0.024688720703125, -0.62646484375, 1.25, 0.203369140625, -0.40380859375, -0.2099609375, -0.116455078125, -0.43896484375, -0.06829833984375, 0.1497802734375, 0.0413818359375, -1.17578125, 0.260986328125, 0.01538848876953125, 0.96826171875, -0.498779296875, -0.275390625, -0.2318115234375, 0.273681640625, 0.2095947265625, -0.83984375, -0.0316162109375, -0.75, 0.58837890625, 0.400634765625, -0.259033203125, -0.456298828125, -0.38427734375, -0.916015625, -0.72119140625, -0.0214691162109375, 0.82470703125, 0.06036376953125, 0.10430908203125, -1.423828125, 0.673828125, 0.282958984375, -0.337890625, 0.30322265625, -0.3017578125, 0.607421875, -0.358154296875, 0.66357421875, -0.251220703125, -0.72509765625, 0.08331298828125, -1.275390625, 0.52197265625, -0.0413818359375, 0.53125, -0.017974853515625, -0.53759765625, 0.1392822265625, 0.472900390625, -0.2529296875, 0.310791015625, -0.1298828125, 0.59716796875, -0.80517578125, -0.71826171875, 0.1602783203125, -0.266357421875, -0.360595703125, 0.625, 0.22607421875, -0.333740234375, 0.014556884765625, 0.339599609375, -0.069580078125, 0.400146484375, -0.5830078125, 0.625, -0.15234375, -0.404296875, -0.029449462890625, -0.454833984375, 0.69580078125, -0.338623046875, -0.76806640625, -0.44873046875, -1.3134765625, -0.23876953125, -0.2275390625, -0.2822265625, 0.26806640625, 0.254638671875, -0.4375, -0.0841064453125, -0.5029296875, -0.1024169921875, -0.50634765625, -0.56787109375, -0.71875, 0.3662109375, 0.57421875, 0.57470703125, 0.10906982421875, -0.29443359375, -0.155517578125, -0.07928466796875, 0.091552734375, -0.53076171875, -0.373046875, -0.128173828125, -0.57275390625, -0.048675537109375, 0.1170654296875, 0.06915283203125, 0.46337890625, 0.7119140625, 0.017578125, 0.6240234375, 0.444580078125, -0.56591796875, 0.99462890625, 0.0982666015625, -1.3701171875, -0.5556640625, 0.5888671875, 0.1116943359375, 0.63916015625, -0.07879638671875, -0.82373046875, -0.95947265625, -0.677734375, 0.2139892578125, -0.962890625, -0.52490234375, -0.859375, -0.190673828125, -0.25390625, 0.6025390625, -0.32080078125, -0.77978515625, 0.2066650390625, -1.048828125, 0.62939453125, -0.7060546875, -0.254638671875, -0.857421875, -0.288330078125, -0.25439453125, 0.9453125, 0.139404296875, 0.359130859375, -0.0211639404296875, -0.322021484375, -0.0457763671875, -0.348388671875, -0.6015625, -0.406494140625, 0.10693359375, -0.012298583984375, -0.14892578125, -0.41015625, -0.55517578125, 0.8671875, -0.78076171875, 0.295654296875, -0.4423828125, -0.281005859375, 0.062286376953125, -0.279296875, 0.89208984375, -0.315673828125, 0.2080078125, -0.2117919921875, 0.537109375, 1.20703125, -0.27197265625, -0.306396484375, -0.7744140625, -0.625, -0.966796875, 0.56689453125, -0.73486328125, 0.061981201171875, -1.01953125, -0.245361328125, 0.95361328125, -0.439208984375, 0.390380859375, 0.9306640625, 0.1995849609375, 0.287353515625, -0.744140625, 0.66064453125, 0.47021484375, -0.415283203125, -0.1502685546875, -0.09222412109375, -0.3095703125, 0.289306640625, 0.1280517578125, -1.0263671875, -0.87939453125, 0.482666015625, 0.96826171875, -0.53466796875, 0.91943359375, 0.26123046875, -1.150390625, -0.47509765625, 0.6328125, 0.0772705078125, 0.06512451171875, 0.9697265625, -0.044952392578125, -0.1832275390625, 0.29296875, -0.05706787109375, -0.311767578125, -0.33203125, 0.9169921875, -0.47802734375, -0.50537109375, 0.9384765625, 0.9111328125, -1.2509765625, -1.0126953125, -0.468505859375, 0.01580810546875, 0.08343505859375, -0.79931640625, -0.11859130859375, 0.44140625, -0.58740234375, 0.1563720703125, 0.52490234375, -0.1158447265625, 0.470947265625, 0.240966796875, 0.263427734375, -0.448486328125, 0.5390625, 0.66748046875, -0.419921875, -0.62353515625, -1.064453125, -0.298583984375, -0.61669921875, 0.048736572265625, 0.61279296875, -0.1973876953125, 0.383056640625, 0.53515625, 0.265380859375, 0.724609375, -0.57568359375, -0.29443359375, 0.314453125, -1.0009765625, -0.30908203125, -0.25927734375, 0.46484375, -0.07904052734375, 0.334228515625, -0.357421875, -0.0291900634765625, 0.334716796875, 0.4873046875, -0.12322998046875, -0.7333984375, -0.147705078125, -0.96337890625, -0.6201171875, -0.48779296875, -0.525390625, 0.07537841796875, 0.052520751953125, -0.4697265625, -0.79248046875, 0.0243988037109375, 0.3369140625, -0.603515625, 1.029296875, -0.389404296875, 0.30126953125, -0.77001953125, -0.36279296875, -0.5732421875, -0.452392578125, -0.6484375, -0.200927734375, -0.54443359375, 0.3935546875, -0.225341796875, 0.371337890625, -0.203125, 0.236572265625, 0.09063720703125, -0.422607421875, 0.0711669921875, 0.1397705078125, -0.0270843505859375, 0.9892578125, 0.63916015625, -0.035736083984375, 0.359130859375, -0.2939453125, -0.658203125, -0.331298828125, 0.63232421875, 0.74072265625, 0.04730224609375, -0.146484375, -0.474609375, -0.1376953125, -1.173828125, 0.49658203125, -0.445068359375, 0.409912109375, 0.358154296875, -0.02593994140625, 0.650390625, 1.224609375, -0.179443359375, 0.29736328125, 0.381103515625, 0.474853515625, 0.34521484375, -0.05712890625, -0.1573486328125, 0.962890625, 0.16845703125, -0.372802734375, -0.0240631103515625, 0.4169921875, 0.66015625, 0.326904296875, -0.4306640625, -0.65283203125, -0.91455078125, 0.1611328125, 0.1639404296875, 0.33349609375, 1.05859375, -0.56298828125, -0.165283203125, -0.53466796875, -0.6474609375, -0.041351318359375, -0.927734375, -0.67919921875, 0.283447265625, 0.020843505859375, -0.391845703125, -0.036285400390625, -0.451416015625, -0.609375, -0.019775390625, 0.345458984375, -0.410888671875, 0.43896484375, -0.351806640625, 0.7568359375, -0.280517578125, 0.171142578125, 0.1346435546875, 0.6484375, -0.5625, -0.58251953125, -0.1956787109375, 1.25390625, 0.205322265625, 0.039337158203125, -0.492919921875, 0.1981201171875, -0.330810546875, 0.03564453125, -0.31884765625, 0.0243377685546875, -0.10394287109375, 0.78173828125, -0.72314453125, -0.047149658203125, -0.15283203125, 0.203857421875, 0.040771484375, -0.513671875, -0.609375, 0.83056640625, 0.65966796875, -0.08392333984375, 0.366455078125, 0.28662109375, 0.275146484375, -0.06976318359375, -0.181884765625, -0.2666015625, 0.309814453125, 0.5224609375, 0.57763671875, -0.266357421875, 0.44580078125, 0.455322265625, -0.2235107421875, -0.1412353515625, 0.003875732421875, 0.357666015625, 0.0251617431640625, 0.265380859375, -0.1873779296875, -0.09613037109375, 0.263916015625, -0.59521484375, 0.22265625, -0.1441650390625, 0.015106201171875, -0.29736328125, -0.5419921875, 0.6923828125, -0.4013671875, -0.1796875, -0.062347412109375, -0.76220703125, 0.599609375, 0.84423828125, 0.050506591796875, -0.050048828125, 0.9794921875, 0.461669921875, 0.271484375, 0.66015625, 0.56396484375, 0.1741943359375, -0.61181640625, 0.120849609375, 0.37158203125, 0.128173828125, -0.306396484375, -0.552734375, -0.73193359375, 0.63330078125, -0.40869140625, -0.31640625, 0.2218017578125, -0.80712890625, 0.0035533905029296875, -0.57861328125, 0.7607421875, -0.54638671875, 0.411865234375, 0.028106689453125, -0.52294921875, -0.5673828125, 0.90966796875, -0.083740234375, 0.53759765625, 0.1666259765625, 1.431640625, 0.109619140625, 1.3291015625, 0.591796875, -0.1270751953125, 0.1700439453125, 0.408935546875, -0.215087890625, -0.515625, -0.08001708984375, -0.411865234375, -0.061553955078125, -0.61767578125, -0.469482421875, -0.364013671875, 0.8583984375, 0.14990234375, -0.9580078125, -0.040374755859375, 0.09906005859375, -0.83642578125, 0.53076171875, -0.1461181640625, 0.495849609375, 0.1331787109375, 0.373291015625, -0.0986328125, -1.1494140625, 0.05303955078125, -0.50341796875, 0.50146484375, -0.48388671875, -0.5478515625, -0.287841796875, -0.703125, -0.26904296875, -0.266845703125, -0.349853515625, -0.49560546875, 0.64453125, 0.52685546875, 0.376953125, 0.267333984375, -0.61181640625, 0.256591796875, 0.85107421875, 1.033203125, -0.07080078125, 0.470947265625, 0.6171875, -0.476318359375, -0.177490234375, -0.73779296875, 0.426025390625, 0.150390625, 0.28076171875, -0.4814453125, 0.10821533203125, -0.65869140625, -1.1337890625, -0.220703125, 0.67236328125, 0.484130859375, -0.55712890625, -1.2119140625, -0.53857421875, -1.1005859375, -0.42236328125, -0.708984375, 0.371337890625, -0.07733154296875, 0.489013671875, 0.33447265625, -1.1162109375, 4.41796875, 0.9716796875, 0.76416015625, 0.32421875, 0.53759765625, 1.4150390625, 0.3671875, -0.6923828125, -0.1337890625, -0.84326171875, 0.5400390625, -0.28125, 0.09503173828125, 0.94482421875, -0.055877685546875, 0.6767578125, -1.048828125, -0.3203125, -0.11700439453125, -1.15234375, -0.81787109375, -0.2220458984375, 0.035247802734375, 0.338134765625, 0.043792724609375, 0.2393798828125, 0.467529296875, -0.951171875, -0.2215576171875, -0.5703125, -0.218505859375, -0.339111328125, 0.92724609375, 0.44482421875, -0.3193359375, 0.4443359375, -0.157958984375, -0.364990234375, -0.0343017578125, 0.2200927734375, -0.004444122314453125, 0.142822265625, 0.5390625, -0.4951171875, -0.057769775390625, 0.7724609375, -0.52001953125, 0.147216796875, -0.0936279296875, -0.78857421875, 0.69091796875, 0.06414794921875, 0.65869140625, -0.352783203125, -0.74462890625, 0.21484375, 0.4443359375, 0.214111328125, -0.434814453125, 0.258056640625, 0.1549072265625, 0.431396484375, 0.0316162109375, 0.455322265625, -1.044921875, 1.0673828125, -0.0362548828125, 0.297607421875, -0.609375, 0.1455078125, -0.30419921875, -0.28271484375, -0.355712890625, -0.1500244140625, 0.65576171875, 0.197509765625, -0.123779296875, 0.484130859375, 0.498046875, -0.3486328125, 0.3349609375, -0.488037109375, -0.48779296875, -0.21142578125, 0.67724609375, 1.0498046875, -0.40283203125, -0.0548095703125, 0.069580078125, 0.748046875, 0.52197265625, 0.7568359375, -0.064208984375, -0.76025390625, -0.450927734375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Submitted Solution: ``` def reverse(s): return s[::-1] def isPalindrome(s): # Calling reverse function rev = reverse(s) # Checking if both string are equal or not if (s == rev): return True return False if __name__ == '__main__': s = input() n = len(s) a = s[0] if n%2 == 0: same = True for i in range(n): if not a == s[i]: same = False else: same = True for i in range(n): if (not a == s[i]) and (not i == n//2): same = False if not same: if n % 2 == 0: print(1) else: possible = False for i in range(1,n): next = s[i:]+s[:i] print(next) if not possible: possible = isPalindrome(next) if possible: print(1) else: print(2) else: print("Impossible") ``` No
7,611
[ 0.09686279296875, -0.426513671875, -0.1845703125, -0.379150390625, -0.60791015625, -0.471923828125, 0.04937744140625, -0.2288818359375, -0.1976318359375, 0.6552734375, 0.79541015625, -0.218017578125, 0.2056884765625, -0.70166015625, -0.826171875, -0.0282440185546875, -0.97021484375, -0.7353515625, -0.57763671875, -0.404296875, 0.1727294921875, -0.0174407958984375, -1.3935546875, -0.1798095703125, -0.15625, 0.69873046875, 0.60791015625, 0.2457275390625, 1.060546875, 0.87890625, 0.0128936767578125, 0.10894775390625, 0.75537109375, -0.64501953125, -0.0045623779296875, -0.1981201171875, 0.20166015625, -0.60546875, -0.548828125, -0.5087890625, 0.11456298828125, -0.34814453125, 0.63818359375, -0.74560546875, -1.265625, 0.5048828125, -0.5185546875, -0.5986328125, -0.53271484375, -1.1650390625, 0.0555419921875, -0.317138671875, 0.056671142578125, 0.021240234375, 0.388671875, -0.03533935546875, 0.1656494140625, 0.255615234375, -0.63671875, 0.275390625, 0.30322265625, 0.0290985107421875, -0.340087890625, -0.79833984375, -0.376953125, -0.001617431640625, -0.034149169921875, -0.0064849853515625, 0.5234375, -0.91015625, -0.208740234375, 0.41845703125, -0.2481689453125, -0.494873046875, -0.55810546875, 0.193359375, 0.1241455078125, 0.2283935546875, -0.58447265625, 0.81982421875, 0.1812744140625, 1.162109375, 0.018646240234375, 0.203369140625, -0.31884765625, -0.58984375, 0.1456298828125, 0.323974609375, 0.1163330078125, -0.04345703125, -0.1883544921875, 0.61474609375, -0.1937255859375, 0.12445068359375, 0.439453125, 0.64892578125, -0.01104736328125, 0.47265625, 0.1302490234375, 0.1881103515625, 0.79833984375, 0.90625, -0.335205078125, 0.6455078125, -0.482421875, -0.1663818359375, 0.0306243896484375, 0.0950927734375, 0.263427734375, -0.412109375, 0.20556640625, -0.376953125, 0.46923828125, 0.27587890625, 0.1968994140625, 0.483642578125, 0.051910400390625, 0.3935546875, -0.955078125, 0.422119140625, 0.36328125, 0.189453125, 0.2493896484375, -0.218017578125, 0.327880859375, -0.11663818359375, -0.42578125, 0.99072265625, -0.564453125, -0.031707763671875, 0.5986328125, -0.0128173828125, -0.19775390625, 0.05487060546875, 0.0214996337890625, 0.52685546875, -0.07525634765625, 0.54541015625, 0.353759765625, -0.7529296875, 0.67431640625, -0.01361083984375, -0.11334228515625, 1.5693359375, 0.370849609375, -0.1944580078125, 0.72021484375, 0.279541015625, -0.97021484375, 0.59912109375, -0.64892578125, 0.697265625, 0.280029296875, -0.1080322265625, -0.2529296875, 0.24609375, 0.011810302734375, 0.365234375, 0.040252685546875, 0.07568359375, -0.1314697265625, 0.47265625, -0.18505859375, 0.85888671875, 0.03375244140625, 0.869140625, -0.5087890625, -0.57958984375, -0.14013671875, -0.385009765625, 0.1717529296875, 0.056427001953125, 0.051849365234375, 1.005859375, 0.623046875, 0.9296875, 0.88671875, -0.27294921875, 0.2091064453125, 0.50390625, -0.325927734375, 0.62255859375, 0.395751953125, 0.6962890625, -0.033782958984375, 0.368408203125, -0.1676025390625, -0.1666259765625, -0.4052734375, -0.2412109375, 0.0259246826171875, 0.70556640625, -0.369140625, 0.22265625, 0.12548828125, 0.17041015625, -0.90966796875, -0.30078125, 0.1298828125, -1.1875, -0.20751953125, 0.84130859375, -0.2303466796875, 0.529296875, -0.369873046875, -0.426513671875, 0.6298828125, 1.4365234375, -0.1839599609375, 0.117431640625, 0.276123046875, 0.187255859375, -0.15283203125, 0.007801055908203125, -0.089111328125, -0.08740234375, -0.76416015625, 0.8232421875, -0.2247314453125, -0.243896484375, -0.068115234375, 0.95263671875, 0.11175537109375, 0.4482421875, -0.7783203125, -0.42578125, 0.479736328125, 1.3515625, 0.09747314453125, -0.0022830963134765625, 0.19384765625, 0.7099609375, 0.441162109375, 0.7138671875, 0.5146484375, 0.0576171875, 0.6484375, 0.53466796875, -0.27001953125, -0.00846099853515625, 0.2041015625, 0.2958984375, 0.68798828125, 0.39453125, 0.384765625, 0.6572265625, -0.285888671875, -0.15283203125, -0.375244140625, 0.447998046875, -0.2091064453125, 0.79541015625, 0.5966796875, 0.2255859375, -0.490234375, -0.1246337890625, 0.55810546875, 0.62158203125, -0.76123046875, -1.087890625, 0.05584716796875, 0.055267333984375, 0.448974609375, -0.0616455078125, 0.2142333984375, 0.18896484375, 0.36669921875, 0.66943359375, -0.0738525390625, -0.77099609375, -0.82861328125, -1.1181640625, -0.8720703125, -0.417724609375, -0.54736328125, -0.198486328125, 0.472900390625, -1.03515625, 0.1260986328125, -0.037445068359375, -0.07763671875, -0.189697265625, -0.5107421875, 0.50537109375, -0.08770751953125, 0.90771484375, -0.31494140625, 0.8525390625, 0.148193359375, 1.0244140625, -0.39794921875, -0.1942138671875, -0.297119140625, -0.441162109375, 0.314453125, 0.10406494140625, 0.66455078125, -0.1202392578125, -0.6259765625, -1.1669921875, -0.228759765625, 0.0024166107177734375, -0.385009765625, 0.21435546875, -0.52490234375, 0.9091796875, 0.496826171875, -0.482177734375, 0.3974609375, 0.82958984375, -0.75830078125, 0.335693359375, 0.0178070068359375, -0.200439453125, -0.69873046875, 1.1572265625, 0.308349609375, 0.451416015625, -0.46630859375, -0.89208984375, -0.491455078125, 0.045654296875, 0.3271484375, -0.72021484375, -0.34228515625, 0.62841796875, 0.2479248046875, -0.921875, 0.7763671875, -1.1484375, -0.71630859375, -0.04931640625, -0.87060546875, 0.72802734375, 0.99267578125, 0.0266876220703125, -0.0899658203125, -0.435302734375, -0.1033935546875, 0.68505859375, 0.39404296875, -0.53125, -0.151123046875, 0.44287109375, 0.041748046875, 0.1484375, 0.269287109375, -0.46044921875, -0.278076171875, -0.1279296875, 0.183837890625, 0.5634765625, 0.299072265625, 0.7451171875, 0.1990966796875, 0.78564453125, -0.77734375, -0.449951171875, 0.036773681640625, 0.5458984375, 0.12548828125, 0.62109375, 0.0255584716796875, -0.310546875, -0.9716796875, -1.0478515625, 0.211669921875, 0.33447265625, 0.6650390625, -0.385986328125, 0.921875, -0.08026123046875, -0.62109375, 0.51171875, -0.8876953125, 0.06787109375, 0.92626953125, -0.3447265625, 0.96435546875, -0.56396484375, 0.525390625, -0.1529541015625, 0.1168212890625, 0.06402587890625, 0.046539306640625, 0.5478515625, -0.269775390625, -0.73583984375, -0.27392578125, 0.09991455078125, -0.051971435546875, -0.3359375, 0.430419921875, -0.61279296875, -0.5537109375, -0.7373046875, 0.859375, 0.442138671875, 0.509765625, -0.10321044921875, 0.457763671875, 0.363525390625, 0.484375, 0.5595703125, -0.1328125, 0.024688720703125, -0.62646484375, 1.25, 0.203369140625, -0.40380859375, -0.2099609375, -0.116455078125, -0.43896484375, -0.06829833984375, 0.1497802734375, 0.0413818359375, -1.17578125, 0.260986328125, 0.01538848876953125, 0.96826171875, -0.498779296875, -0.275390625, -0.2318115234375, 0.273681640625, 0.2095947265625, -0.83984375, -0.0316162109375, -0.75, 0.58837890625, 0.400634765625, -0.259033203125, -0.456298828125, -0.38427734375, -0.916015625, -0.72119140625, -0.0214691162109375, 0.82470703125, 0.06036376953125, 0.10430908203125, -1.423828125, 0.673828125, 0.282958984375, -0.337890625, 0.30322265625, -0.3017578125, 0.607421875, -0.358154296875, 0.66357421875, -0.251220703125, -0.72509765625, 0.08331298828125, -1.275390625, 0.52197265625, -0.0413818359375, 0.53125, -0.017974853515625, -0.53759765625, 0.1392822265625, 0.472900390625, -0.2529296875, 0.310791015625, -0.1298828125, 0.59716796875, -0.80517578125, -0.71826171875, 0.1602783203125, -0.266357421875, -0.360595703125, 0.625, 0.22607421875, -0.333740234375, 0.014556884765625, 0.339599609375, -0.069580078125, 0.400146484375, -0.5830078125, 0.625, -0.15234375, -0.404296875, -0.029449462890625, -0.454833984375, 0.69580078125, -0.338623046875, -0.76806640625, -0.44873046875, -1.3134765625, -0.23876953125, -0.2275390625, -0.2822265625, 0.26806640625, 0.254638671875, -0.4375, -0.0841064453125, -0.5029296875, -0.1024169921875, -0.50634765625, -0.56787109375, -0.71875, 0.3662109375, 0.57421875, 0.57470703125, 0.10906982421875, -0.29443359375, -0.155517578125, -0.07928466796875, 0.091552734375, -0.53076171875, -0.373046875, -0.128173828125, -0.57275390625, -0.048675537109375, 0.1170654296875, 0.06915283203125, 0.46337890625, 0.7119140625, 0.017578125, 0.6240234375, 0.444580078125, -0.56591796875, 0.99462890625, 0.0982666015625, -1.3701171875, -0.5556640625, 0.5888671875, 0.1116943359375, 0.63916015625, -0.07879638671875, -0.82373046875, -0.95947265625, -0.677734375, 0.2139892578125, -0.962890625, -0.52490234375, -0.859375, -0.190673828125, -0.25390625, 0.6025390625, -0.32080078125, -0.77978515625, 0.2066650390625, -1.048828125, 0.62939453125, -0.7060546875, -0.254638671875, -0.857421875, -0.288330078125, -0.25439453125, 0.9453125, 0.139404296875, 0.359130859375, -0.0211639404296875, -0.322021484375, -0.0457763671875, -0.348388671875, -0.6015625, -0.406494140625, 0.10693359375, -0.012298583984375, -0.14892578125, -0.41015625, -0.55517578125, 0.8671875, -0.78076171875, 0.295654296875, -0.4423828125, -0.281005859375, 0.062286376953125, -0.279296875, 0.89208984375, -0.315673828125, 0.2080078125, -0.2117919921875, 0.537109375, 1.20703125, -0.27197265625, -0.306396484375, -0.7744140625, -0.625, -0.966796875, 0.56689453125, -0.73486328125, 0.061981201171875, -1.01953125, -0.245361328125, 0.95361328125, -0.439208984375, 0.390380859375, 0.9306640625, 0.1995849609375, 0.287353515625, -0.744140625, 0.66064453125, 0.47021484375, -0.415283203125, -0.1502685546875, -0.09222412109375, -0.3095703125, 0.289306640625, 0.1280517578125, -1.0263671875, -0.87939453125, 0.482666015625, 0.96826171875, -0.53466796875, 0.91943359375, 0.26123046875, -1.150390625, -0.47509765625, 0.6328125, 0.0772705078125, 0.06512451171875, 0.9697265625, -0.044952392578125, -0.1832275390625, 0.29296875, -0.05706787109375, -0.311767578125, -0.33203125, 0.9169921875, -0.47802734375, -0.50537109375, 0.9384765625, 0.9111328125, -1.2509765625, -1.0126953125, -0.468505859375, 0.01580810546875, 0.08343505859375, -0.79931640625, -0.11859130859375, 0.44140625, -0.58740234375, 0.1563720703125, 0.52490234375, -0.1158447265625, 0.470947265625, 0.240966796875, 0.263427734375, -0.448486328125, 0.5390625, 0.66748046875, -0.419921875, -0.62353515625, -1.064453125, -0.298583984375, -0.61669921875, 0.048736572265625, 0.61279296875, -0.1973876953125, 0.383056640625, 0.53515625, 0.265380859375, 0.724609375, -0.57568359375, -0.29443359375, 0.314453125, -1.0009765625, -0.30908203125, -0.25927734375, 0.46484375, -0.07904052734375, 0.334228515625, -0.357421875, -0.0291900634765625, 0.334716796875, 0.4873046875, -0.12322998046875, -0.7333984375, -0.147705078125, -0.96337890625, -0.6201171875, -0.48779296875, -0.525390625, 0.07537841796875, 0.052520751953125, -0.4697265625, -0.79248046875, 0.0243988037109375, 0.3369140625, -0.603515625, 1.029296875, -0.389404296875, 0.30126953125, -0.77001953125, -0.36279296875, -0.5732421875, -0.452392578125, -0.6484375, -0.200927734375, -0.54443359375, 0.3935546875, -0.225341796875, 0.371337890625, -0.203125, 0.236572265625, 0.09063720703125, -0.422607421875, 0.0711669921875, 0.1397705078125, -0.0270843505859375, 0.9892578125, 0.63916015625, -0.035736083984375, 0.359130859375, -0.2939453125, -0.658203125, -0.331298828125, 0.63232421875, 0.74072265625, 0.04730224609375, -0.146484375, -0.474609375, -0.1376953125, -1.173828125, 0.49658203125, -0.445068359375, 0.409912109375, 0.358154296875, -0.02593994140625, 0.650390625, 1.224609375, -0.179443359375, 0.29736328125, 0.381103515625, 0.474853515625, 0.34521484375, -0.05712890625, -0.1573486328125, 0.962890625, 0.16845703125, -0.372802734375, -0.0240631103515625, 0.4169921875, 0.66015625, 0.326904296875, -0.4306640625, -0.65283203125, -0.91455078125, 0.1611328125, 0.1639404296875, 0.33349609375, 1.05859375, -0.56298828125, -0.165283203125, -0.53466796875, -0.6474609375, -0.041351318359375, -0.927734375, -0.67919921875, 0.283447265625, 0.020843505859375, -0.391845703125, -0.036285400390625, -0.451416015625, -0.609375, -0.019775390625, 0.345458984375, -0.410888671875, 0.43896484375, -0.351806640625, 0.7568359375, -0.280517578125, 0.171142578125, 0.1346435546875, 0.6484375, -0.5625, -0.58251953125, -0.1956787109375, 1.25390625, 0.205322265625, 0.039337158203125, -0.492919921875, 0.1981201171875, -0.330810546875, 0.03564453125, -0.31884765625, 0.0243377685546875, -0.10394287109375, 0.78173828125, -0.72314453125, -0.047149658203125, -0.15283203125, 0.203857421875, 0.040771484375, -0.513671875, -0.609375, 0.83056640625, 0.65966796875, -0.08392333984375, 0.366455078125, 0.28662109375, 0.275146484375, -0.06976318359375, -0.181884765625, -0.2666015625, 0.309814453125, 0.5224609375, 0.57763671875, -0.266357421875, 0.44580078125, 0.455322265625, -0.2235107421875, -0.1412353515625, 0.003875732421875, 0.357666015625, 0.0251617431640625, 0.265380859375, -0.1873779296875, -0.09613037109375, 0.263916015625, -0.59521484375, 0.22265625, -0.1441650390625, 0.015106201171875, -0.29736328125, -0.5419921875, 0.6923828125, -0.4013671875, -0.1796875, -0.062347412109375, -0.76220703125, 0.599609375, 0.84423828125, 0.050506591796875, -0.050048828125, 0.9794921875, 0.461669921875, 0.271484375, 0.66015625, 0.56396484375, 0.1741943359375, -0.61181640625, 0.120849609375, 0.37158203125, 0.128173828125, -0.306396484375, -0.552734375, -0.73193359375, 0.63330078125, -0.40869140625, -0.31640625, 0.2218017578125, -0.80712890625, 0.0035533905029296875, -0.57861328125, 0.7607421875, -0.54638671875, 0.411865234375, 0.028106689453125, -0.52294921875, -0.5673828125, 0.90966796875, -0.083740234375, 0.53759765625, 0.1666259765625, 1.431640625, 0.109619140625, 1.3291015625, 0.591796875, -0.1270751953125, 0.1700439453125, 0.408935546875, -0.215087890625, -0.515625, -0.08001708984375, -0.411865234375, -0.061553955078125, -0.61767578125, -0.469482421875, -0.364013671875, 0.8583984375, 0.14990234375, -0.9580078125, -0.040374755859375, 0.09906005859375, -0.83642578125, 0.53076171875, -0.1461181640625, 0.495849609375, 0.1331787109375, 0.373291015625, -0.0986328125, -1.1494140625, 0.05303955078125, -0.50341796875, 0.50146484375, -0.48388671875, -0.5478515625, -0.287841796875, -0.703125, -0.26904296875, -0.266845703125, -0.349853515625, -0.49560546875, 0.64453125, 0.52685546875, 0.376953125, 0.267333984375, -0.61181640625, 0.256591796875, 0.85107421875, 1.033203125, -0.07080078125, 0.470947265625, 0.6171875, -0.476318359375, -0.177490234375, -0.73779296875, 0.426025390625, 0.150390625, 0.28076171875, -0.4814453125, 0.10821533203125, -0.65869140625, -1.1337890625, -0.220703125, 0.67236328125, 0.484130859375, -0.55712890625, -1.2119140625, -0.53857421875, -1.1005859375, -0.42236328125, -0.708984375, 0.371337890625, -0.07733154296875, 0.489013671875, 0.33447265625, -1.1162109375, 4.41796875, 0.9716796875, 0.76416015625, 0.32421875, 0.53759765625, 1.4150390625, 0.3671875, -0.6923828125, -0.1337890625, -0.84326171875, 0.5400390625, -0.28125, 0.09503173828125, 0.94482421875, -0.055877685546875, 0.6767578125, -1.048828125, -0.3203125, -0.11700439453125, -1.15234375, -0.81787109375, -0.2220458984375, 0.035247802734375, 0.338134765625, 0.043792724609375, 0.2393798828125, 0.467529296875, -0.951171875, -0.2215576171875, -0.5703125, -0.218505859375, -0.339111328125, 0.92724609375, 0.44482421875, -0.3193359375, 0.4443359375, -0.157958984375, -0.364990234375, -0.0343017578125, 0.2200927734375, -0.004444122314453125, 0.142822265625, 0.5390625, -0.4951171875, -0.057769775390625, 0.7724609375, -0.52001953125, 0.147216796875, -0.0936279296875, -0.78857421875, 0.69091796875, 0.06414794921875, 0.65869140625, -0.352783203125, -0.74462890625, 0.21484375, 0.4443359375, 0.214111328125, -0.434814453125, 0.258056640625, 0.1549072265625, 0.431396484375, 0.0316162109375, 0.455322265625, -1.044921875, 1.0673828125, -0.0362548828125, 0.297607421875, -0.609375, 0.1455078125, -0.30419921875, -0.28271484375, -0.355712890625, -0.1500244140625, 0.65576171875, 0.197509765625, -0.123779296875, 0.484130859375, 0.498046875, -0.3486328125, 0.3349609375, -0.488037109375, -0.48779296875, -0.21142578125, 0.67724609375, 1.0498046875, -0.40283203125, -0.0548095703125, 0.069580078125, 0.748046875, 0.52197265625, 0.7568359375, -0.064208984375, -0.76025390625, -0.450927734375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Submitted Solution: ``` s = input() if(len(set(s)) == 1 or len(s) == 3): print("Impossible") else: n = len(s) if(n%2 != 0): print(2) elif(s[:n//2] == s[n//2:]): if(n%4 == 0): print(1) else: print(2) else: print(2) ``` No
7,612
[ 0.09686279296875, -0.426513671875, -0.1845703125, -0.379150390625, -0.60791015625, -0.471923828125, 0.04937744140625, -0.2288818359375, -0.1976318359375, 0.6552734375, 0.79541015625, -0.218017578125, 0.2056884765625, -0.70166015625, -0.826171875, -0.0282440185546875, -0.97021484375, -0.7353515625, -0.57763671875, -0.404296875, 0.1727294921875, -0.0174407958984375, -1.3935546875, -0.1798095703125, -0.15625, 0.69873046875, 0.60791015625, 0.2457275390625, 1.060546875, 0.87890625, 0.0128936767578125, 0.10894775390625, 0.75537109375, -0.64501953125, -0.0045623779296875, -0.1981201171875, 0.20166015625, -0.60546875, -0.548828125, -0.5087890625, 0.11456298828125, -0.34814453125, 0.63818359375, -0.74560546875, -1.265625, 0.5048828125, -0.5185546875, -0.5986328125, -0.53271484375, -1.1650390625, 0.0555419921875, -0.317138671875, 0.056671142578125, 0.021240234375, 0.388671875, -0.03533935546875, 0.1656494140625, 0.255615234375, -0.63671875, 0.275390625, 0.30322265625, 0.0290985107421875, -0.340087890625, -0.79833984375, -0.376953125, -0.001617431640625, -0.034149169921875, -0.0064849853515625, 0.5234375, -0.91015625, -0.208740234375, 0.41845703125, -0.2481689453125, -0.494873046875, -0.55810546875, 0.193359375, 0.1241455078125, 0.2283935546875, -0.58447265625, 0.81982421875, 0.1812744140625, 1.162109375, 0.018646240234375, 0.203369140625, -0.31884765625, -0.58984375, 0.1456298828125, 0.323974609375, 0.1163330078125, -0.04345703125, -0.1883544921875, 0.61474609375, -0.1937255859375, 0.12445068359375, 0.439453125, 0.64892578125, -0.01104736328125, 0.47265625, 0.1302490234375, 0.1881103515625, 0.79833984375, 0.90625, -0.335205078125, 0.6455078125, -0.482421875, -0.1663818359375, 0.0306243896484375, 0.0950927734375, 0.263427734375, -0.412109375, 0.20556640625, -0.376953125, 0.46923828125, 0.27587890625, 0.1968994140625, 0.483642578125, 0.051910400390625, 0.3935546875, -0.955078125, 0.422119140625, 0.36328125, 0.189453125, 0.2493896484375, -0.218017578125, 0.327880859375, -0.11663818359375, -0.42578125, 0.99072265625, -0.564453125, -0.031707763671875, 0.5986328125, -0.0128173828125, -0.19775390625, 0.05487060546875, 0.0214996337890625, 0.52685546875, -0.07525634765625, 0.54541015625, 0.353759765625, -0.7529296875, 0.67431640625, -0.01361083984375, -0.11334228515625, 1.5693359375, 0.370849609375, -0.1944580078125, 0.72021484375, 0.279541015625, -0.97021484375, 0.59912109375, -0.64892578125, 0.697265625, 0.280029296875, -0.1080322265625, -0.2529296875, 0.24609375, 0.011810302734375, 0.365234375, 0.040252685546875, 0.07568359375, -0.1314697265625, 0.47265625, -0.18505859375, 0.85888671875, 0.03375244140625, 0.869140625, -0.5087890625, -0.57958984375, -0.14013671875, -0.385009765625, 0.1717529296875, 0.056427001953125, 0.051849365234375, 1.005859375, 0.623046875, 0.9296875, 0.88671875, -0.27294921875, 0.2091064453125, 0.50390625, -0.325927734375, 0.62255859375, 0.395751953125, 0.6962890625, -0.033782958984375, 0.368408203125, -0.1676025390625, -0.1666259765625, -0.4052734375, -0.2412109375, 0.0259246826171875, 0.70556640625, -0.369140625, 0.22265625, 0.12548828125, 0.17041015625, -0.90966796875, -0.30078125, 0.1298828125, -1.1875, -0.20751953125, 0.84130859375, -0.2303466796875, 0.529296875, -0.369873046875, -0.426513671875, 0.6298828125, 1.4365234375, -0.1839599609375, 0.117431640625, 0.276123046875, 0.187255859375, -0.15283203125, 0.007801055908203125, -0.089111328125, -0.08740234375, -0.76416015625, 0.8232421875, -0.2247314453125, -0.243896484375, -0.068115234375, 0.95263671875, 0.11175537109375, 0.4482421875, -0.7783203125, -0.42578125, 0.479736328125, 1.3515625, 0.09747314453125, -0.0022830963134765625, 0.19384765625, 0.7099609375, 0.441162109375, 0.7138671875, 0.5146484375, 0.0576171875, 0.6484375, 0.53466796875, -0.27001953125, -0.00846099853515625, 0.2041015625, 0.2958984375, 0.68798828125, 0.39453125, 0.384765625, 0.6572265625, -0.285888671875, -0.15283203125, -0.375244140625, 0.447998046875, -0.2091064453125, 0.79541015625, 0.5966796875, 0.2255859375, -0.490234375, -0.1246337890625, 0.55810546875, 0.62158203125, -0.76123046875, -1.087890625, 0.05584716796875, 0.055267333984375, 0.448974609375, -0.0616455078125, 0.2142333984375, 0.18896484375, 0.36669921875, 0.66943359375, -0.0738525390625, -0.77099609375, -0.82861328125, -1.1181640625, -0.8720703125, -0.417724609375, -0.54736328125, -0.198486328125, 0.472900390625, -1.03515625, 0.1260986328125, -0.037445068359375, -0.07763671875, -0.189697265625, -0.5107421875, 0.50537109375, -0.08770751953125, 0.90771484375, -0.31494140625, 0.8525390625, 0.148193359375, 1.0244140625, -0.39794921875, -0.1942138671875, -0.297119140625, -0.441162109375, 0.314453125, 0.10406494140625, 0.66455078125, -0.1202392578125, -0.6259765625, -1.1669921875, -0.228759765625, 0.0024166107177734375, -0.385009765625, 0.21435546875, -0.52490234375, 0.9091796875, 0.496826171875, -0.482177734375, 0.3974609375, 0.82958984375, -0.75830078125, 0.335693359375, 0.0178070068359375, -0.200439453125, -0.69873046875, 1.1572265625, 0.308349609375, 0.451416015625, -0.46630859375, -0.89208984375, -0.491455078125, 0.045654296875, 0.3271484375, -0.72021484375, -0.34228515625, 0.62841796875, 0.2479248046875, -0.921875, 0.7763671875, -1.1484375, -0.71630859375, -0.04931640625, -0.87060546875, 0.72802734375, 0.99267578125, 0.0266876220703125, -0.0899658203125, -0.435302734375, -0.1033935546875, 0.68505859375, 0.39404296875, -0.53125, -0.151123046875, 0.44287109375, 0.041748046875, 0.1484375, 0.269287109375, -0.46044921875, -0.278076171875, -0.1279296875, 0.183837890625, 0.5634765625, 0.299072265625, 0.7451171875, 0.1990966796875, 0.78564453125, -0.77734375, -0.449951171875, 0.036773681640625, 0.5458984375, 0.12548828125, 0.62109375, 0.0255584716796875, -0.310546875, -0.9716796875, -1.0478515625, 0.211669921875, 0.33447265625, 0.6650390625, -0.385986328125, 0.921875, -0.08026123046875, -0.62109375, 0.51171875, -0.8876953125, 0.06787109375, 0.92626953125, -0.3447265625, 0.96435546875, -0.56396484375, 0.525390625, -0.1529541015625, 0.1168212890625, 0.06402587890625, 0.046539306640625, 0.5478515625, -0.269775390625, -0.73583984375, -0.27392578125, 0.09991455078125, -0.051971435546875, -0.3359375, 0.430419921875, -0.61279296875, -0.5537109375, -0.7373046875, 0.859375, 0.442138671875, 0.509765625, -0.10321044921875, 0.457763671875, 0.363525390625, 0.484375, 0.5595703125, -0.1328125, 0.024688720703125, -0.62646484375, 1.25, 0.203369140625, -0.40380859375, -0.2099609375, -0.116455078125, -0.43896484375, -0.06829833984375, 0.1497802734375, 0.0413818359375, -1.17578125, 0.260986328125, 0.01538848876953125, 0.96826171875, -0.498779296875, -0.275390625, -0.2318115234375, 0.273681640625, 0.2095947265625, -0.83984375, -0.0316162109375, -0.75, 0.58837890625, 0.400634765625, -0.259033203125, -0.456298828125, -0.38427734375, -0.916015625, -0.72119140625, -0.0214691162109375, 0.82470703125, 0.06036376953125, 0.10430908203125, -1.423828125, 0.673828125, 0.282958984375, -0.337890625, 0.30322265625, -0.3017578125, 0.607421875, -0.358154296875, 0.66357421875, -0.251220703125, -0.72509765625, 0.08331298828125, -1.275390625, 0.52197265625, -0.0413818359375, 0.53125, -0.017974853515625, -0.53759765625, 0.1392822265625, 0.472900390625, -0.2529296875, 0.310791015625, -0.1298828125, 0.59716796875, -0.80517578125, -0.71826171875, 0.1602783203125, -0.266357421875, -0.360595703125, 0.625, 0.22607421875, -0.333740234375, 0.014556884765625, 0.339599609375, -0.069580078125, 0.400146484375, -0.5830078125, 0.625, -0.15234375, -0.404296875, -0.029449462890625, -0.454833984375, 0.69580078125, -0.338623046875, -0.76806640625, -0.44873046875, -1.3134765625, -0.23876953125, -0.2275390625, -0.2822265625, 0.26806640625, 0.254638671875, -0.4375, -0.0841064453125, -0.5029296875, -0.1024169921875, -0.50634765625, -0.56787109375, -0.71875, 0.3662109375, 0.57421875, 0.57470703125, 0.10906982421875, -0.29443359375, -0.155517578125, -0.07928466796875, 0.091552734375, -0.53076171875, -0.373046875, -0.128173828125, -0.57275390625, -0.048675537109375, 0.1170654296875, 0.06915283203125, 0.46337890625, 0.7119140625, 0.017578125, 0.6240234375, 0.444580078125, -0.56591796875, 0.99462890625, 0.0982666015625, -1.3701171875, -0.5556640625, 0.5888671875, 0.1116943359375, 0.63916015625, -0.07879638671875, -0.82373046875, -0.95947265625, -0.677734375, 0.2139892578125, -0.962890625, -0.52490234375, -0.859375, -0.190673828125, -0.25390625, 0.6025390625, -0.32080078125, -0.77978515625, 0.2066650390625, -1.048828125, 0.62939453125, -0.7060546875, -0.254638671875, -0.857421875, -0.288330078125, -0.25439453125, 0.9453125, 0.139404296875, 0.359130859375, -0.0211639404296875, -0.322021484375, -0.0457763671875, -0.348388671875, -0.6015625, -0.406494140625, 0.10693359375, -0.012298583984375, -0.14892578125, -0.41015625, -0.55517578125, 0.8671875, -0.78076171875, 0.295654296875, -0.4423828125, -0.281005859375, 0.062286376953125, -0.279296875, 0.89208984375, -0.315673828125, 0.2080078125, -0.2117919921875, 0.537109375, 1.20703125, -0.27197265625, -0.306396484375, -0.7744140625, -0.625, -0.966796875, 0.56689453125, -0.73486328125, 0.061981201171875, -1.01953125, -0.245361328125, 0.95361328125, -0.439208984375, 0.390380859375, 0.9306640625, 0.1995849609375, 0.287353515625, -0.744140625, 0.66064453125, 0.47021484375, -0.415283203125, -0.1502685546875, -0.09222412109375, -0.3095703125, 0.289306640625, 0.1280517578125, -1.0263671875, -0.87939453125, 0.482666015625, 0.96826171875, -0.53466796875, 0.91943359375, 0.26123046875, -1.150390625, -0.47509765625, 0.6328125, 0.0772705078125, 0.06512451171875, 0.9697265625, -0.044952392578125, -0.1832275390625, 0.29296875, -0.05706787109375, -0.311767578125, -0.33203125, 0.9169921875, -0.47802734375, -0.50537109375, 0.9384765625, 0.9111328125, -1.2509765625, -1.0126953125, -0.468505859375, 0.01580810546875, 0.08343505859375, -0.79931640625, -0.11859130859375, 0.44140625, -0.58740234375, 0.1563720703125, 0.52490234375, -0.1158447265625, 0.470947265625, 0.240966796875, 0.263427734375, -0.448486328125, 0.5390625, 0.66748046875, -0.419921875, -0.62353515625, -1.064453125, -0.298583984375, -0.61669921875, 0.048736572265625, 0.61279296875, -0.1973876953125, 0.383056640625, 0.53515625, 0.265380859375, 0.724609375, -0.57568359375, -0.29443359375, 0.314453125, -1.0009765625, -0.30908203125, -0.25927734375, 0.46484375, -0.07904052734375, 0.334228515625, -0.357421875, -0.0291900634765625, 0.334716796875, 0.4873046875, -0.12322998046875, -0.7333984375, -0.147705078125, -0.96337890625, -0.6201171875, -0.48779296875, -0.525390625, 0.07537841796875, 0.052520751953125, -0.4697265625, -0.79248046875, 0.0243988037109375, 0.3369140625, -0.603515625, 1.029296875, -0.389404296875, 0.30126953125, -0.77001953125, -0.36279296875, -0.5732421875, -0.452392578125, -0.6484375, -0.200927734375, -0.54443359375, 0.3935546875, -0.225341796875, 0.371337890625, -0.203125, 0.236572265625, 0.09063720703125, -0.422607421875, 0.0711669921875, 0.1397705078125, -0.0270843505859375, 0.9892578125, 0.63916015625, -0.035736083984375, 0.359130859375, -0.2939453125, -0.658203125, -0.331298828125, 0.63232421875, 0.74072265625, 0.04730224609375, -0.146484375, -0.474609375, -0.1376953125, -1.173828125, 0.49658203125, -0.445068359375, 0.409912109375, 0.358154296875, -0.02593994140625, 0.650390625, 1.224609375, -0.179443359375, 0.29736328125, 0.381103515625, 0.474853515625, 0.34521484375, -0.05712890625, -0.1573486328125, 0.962890625, 0.16845703125, -0.372802734375, -0.0240631103515625, 0.4169921875, 0.66015625, 0.326904296875, -0.4306640625, -0.65283203125, -0.91455078125, 0.1611328125, 0.1639404296875, 0.33349609375, 1.05859375, -0.56298828125, -0.165283203125, -0.53466796875, -0.6474609375, -0.041351318359375, -0.927734375, -0.67919921875, 0.283447265625, 0.020843505859375, -0.391845703125, -0.036285400390625, -0.451416015625, -0.609375, -0.019775390625, 0.345458984375, -0.410888671875, 0.43896484375, -0.351806640625, 0.7568359375, -0.280517578125, 0.171142578125, 0.1346435546875, 0.6484375, -0.5625, -0.58251953125, -0.1956787109375, 1.25390625, 0.205322265625, 0.039337158203125, -0.492919921875, 0.1981201171875, -0.330810546875, 0.03564453125, -0.31884765625, 0.0243377685546875, -0.10394287109375, 0.78173828125, -0.72314453125, -0.047149658203125, -0.15283203125, 0.203857421875, 0.040771484375, -0.513671875, -0.609375, 0.83056640625, 0.65966796875, -0.08392333984375, 0.366455078125, 0.28662109375, 0.275146484375, -0.06976318359375, -0.181884765625, -0.2666015625, 0.309814453125, 0.5224609375, 0.57763671875, -0.266357421875, 0.44580078125, 0.455322265625, -0.2235107421875, -0.1412353515625, 0.003875732421875, 0.357666015625, 0.0251617431640625, 0.265380859375, -0.1873779296875, -0.09613037109375, 0.263916015625, -0.59521484375, 0.22265625, -0.1441650390625, 0.015106201171875, -0.29736328125, -0.5419921875, 0.6923828125, -0.4013671875, -0.1796875, -0.062347412109375, -0.76220703125, 0.599609375, 0.84423828125, 0.050506591796875, -0.050048828125, 0.9794921875, 0.461669921875, 0.271484375, 0.66015625, 0.56396484375, 0.1741943359375, -0.61181640625, 0.120849609375, 0.37158203125, 0.128173828125, -0.306396484375, -0.552734375, -0.73193359375, 0.63330078125, -0.40869140625, -0.31640625, 0.2218017578125, -0.80712890625, 0.0035533905029296875, -0.57861328125, 0.7607421875, -0.54638671875, 0.411865234375, 0.028106689453125, -0.52294921875, -0.5673828125, 0.90966796875, -0.083740234375, 0.53759765625, 0.1666259765625, 1.431640625, 0.109619140625, 1.3291015625, 0.591796875, -0.1270751953125, 0.1700439453125, 0.408935546875, -0.215087890625, -0.515625, -0.08001708984375, -0.411865234375, -0.061553955078125, -0.61767578125, -0.469482421875, -0.364013671875, 0.8583984375, 0.14990234375, -0.9580078125, -0.040374755859375, 0.09906005859375, -0.83642578125, 0.53076171875, -0.1461181640625, 0.495849609375, 0.1331787109375, 0.373291015625, -0.0986328125, -1.1494140625, 0.05303955078125, -0.50341796875, 0.50146484375, -0.48388671875, -0.5478515625, -0.287841796875, -0.703125, -0.26904296875, -0.266845703125, -0.349853515625, -0.49560546875, 0.64453125, 0.52685546875, 0.376953125, 0.267333984375, -0.61181640625, 0.256591796875, 0.85107421875, 1.033203125, -0.07080078125, 0.470947265625, 0.6171875, -0.476318359375, -0.177490234375, -0.73779296875, 0.426025390625, 0.150390625, 0.28076171875, -0.4814453125, 0.10821533203125, -0.65869140625, -1.1337890625, -0.220703125, 0.67236328125, 0.484130859375, -0.55712890625, -1.2119140625, -0.53857421875, -1.1005859375, -0.42236328125, -0.708984375, 0.371337890625, -0.07733154296875, 0.489013671875, 0.33447265625, -1.1162109375, 4.41796875, 0.9716796875, 0.76416015625, 0.32421875, 0.53759765625, 1.4150390625, 0.3671875, -0.6923828125, -0.1337890625, -0.84326171875, 0.5400390625, -0.28125, 0.09503173828125, 0.94482421875, -0.055877685546875, 0.6767578125, -1.048828125, -0.3203125, -0.11700439453125, -1.15234375, -0.81787109375, -0.2220458984375, 0.035247802734375, 0.338134765625, 0.043792724609375, 0.2393798828125, 0.467529296875, -0.951171875, -0.2215576171875, -0.5703125, -0.218505859375, -0.339111328125, 0.92724609375, 0.44482421875, -0.3193359375, 0.4443359375, -0.157958984375, -0.364990234375, -0.0343017578125, 0.2200927734375, -0.004444122314453125, 0.142822265625, 0.5390625, -0.4951171875, -0.057769775390625, 0.7724609375, -0.52001953125, 0.147216796875, -0.0936279296875, -0.78857421875, 0.69091796875, 0.06414794921875, 0.65869140625, -0.352783203125, -0.74462890625, 0.21484375, 0.4443359375, 0.214111328125, -0.434814453125, 0.258056640625, 0.1549072265625, 0.431396484375, 0.0316162109375, 0.455322265625, -1.044921875, 1.0673828125, -0.0362548828125, 0.297607421875, -0.609375, 0.1455078125, -0.30419921875, -0.28271484375, -0.355712890625, -0.1500244140625, 0.65576171875, 0.197509765625, -0.123779296875, 0.484130859375, 0.498046875, -0.3486328125, 0.3349609375, -0.488037109375, -0.48779296875, -0.21142578125, 0.67724609375, 1.0498046875, -0.40283203125, -0.0548095703125, 0.069580078125, 0.748046875, 0.52197265625, 0.7568359375, -0.064208984375, -0.76025390625, -0.450927734375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Reading books is one of Sasha's passions. Once while he was reading one book, he became acquainted with an unusual character. The character told about himself like that: "Many are my names in many countries. Mithrandir among the Elves, Tharkûn to the Dwarves, Olórin I was in my youth in the West that is forgotten, in the South Incánus, in the North Gandalf; to the East I go not." And at that moment Sasha thought, how would that character be called in the East? In the East all names are palindromes. A string is a palindrome if it reads the same backward as forward. For example, such strings as "kazak", "oo" and "r" are palindromes, but strings "abb" and "ij" are not. Sasha believed that the hero would be named after one of the gods of the East. As long as there couldn't be two equal names, so in the East people did the following: they wrote the original name as a string on a piece of paper, then cut the paper minimum number of times k, so they got k+1 pieces of paper with substrings of the initial string, and then unite those pieces together to get a new string. Pieces couldn't be turned over, they could be shuffled. In this way, it's possible to achive a string abcdefg from the string f|de|abc|g using 3 cuts (by swapping papers with substrings f and abc). The string cbadefg can't be received using the same cuts. More formally, Sasha wants for the given palindrome s find such minimum k, that you can cut this string into k + 1 parts, and then unite them in such a way that the final string will be a palindrome and it won't be equal to the initial string s. It there is no answer, then print "Impossible" (without quotes). Input The first line contains one string s (1 ≤ |s| ≤ 5 000) — the initial name, which consists only of lowercase Latin letters. It is guaranteed that s is a palindrome. Output Print one integer k — the minimum number of cuts needed to get a new name, or "Impossible" (without quotes). Examples Input nolon Output 2 Input otto Output 1 Input qqqq Output Impossible Input kinnikkinnik Output 1 Note In the first example, you can cut the string in those positions: no|l|on, and then unite them as follows on|l|no. It can be shown that there is no solution with one cut. In the second example, you can cut the string right in the middle, and swap peaces, so you get toot. In the third example, you can't make a string, that won't be equal to the initial one. In the fourth example, you can cut the suffix nik and add it to the beginning, so you get nikkinnikkin. Submitted Solution: ``` def pal(s): s=list(s) s1=s[:len(s)//2] if len(s)%2==0: s2=s[len(s)//2:] else: s2=s[len(s)//2+1:] s2.reverse() if s1==s2: return True return False s=input() for i in range(len(s)//2+1): if pal(s[:i+1])==False: if len(s)%2==1: print(2) else: print(1) break else: print('Impossible') ``` No
7,613
[ 0.09686279296875, -0.426513671875, -0.1845703125, -0.379150390625, -0.60791015625, -0.471923828125, 0.04937744140625, -0.2288818359375, -0.1976318359375, 0.6552734375, 0.79541015625, -0.218017578125, 0.2056884765625, -0.70166015625, -0.826171875, -0.0282440185546875, -0.97021484375, -0.7353515625, -0.57763671875, -0.404296875, 0.1727294921875, -0.0174407958984375, -1.3935546875, -0.1798095703125, -0.15625, 0.69873046875, 0.60791015625, 0.2457275390625, 1.060546875, 0.87890625, 0.0128936767578125, 0.10894775390625, 0.75537109375, -0.64501953125, -0.0045623779296875, -0.1981201171875, 0.20166015625, -0.60546875, -0.548828125, -0.5087890625, 0.11456298828125, -0.34814453125, 0.63818359375, -0.74560546875, -1.265625, 0.5048828125, -0.5185546875, -0.5986328125, -0.53271484375, -1.1650390625, 0.0555419921875, -0.317138671875, 0.056671142578125, 0.021240234375, 0.388671875, -0.03533935546875, 0.1656494140625, 0.255615234375, -0.63671875, 0.275390625, 0.30322265625, 0.0290985107421875, -0.340087890625, -0.79833984375, -0.376953125, -0.001617431640625, -0.034149169921875, -0.0064849853515625, 0.5234375, -0.91015625, -0.208740234375, 0.41845703125, -0.2481689453125, -0.494873046875, -0.55810546875, 0.193359375, 0.1241455078125, 0.2283935546875, -0.58447265625, 0.81982421875, 0.1812744140625, 1.162109375, 0.018646240234375, 0.203369140625, -0.31884765625, -0.58984375, 0.1456298828125, 0.323974609375, 0.1163330078125, -0.04345703125, -0.1883544921875, 0.61474609375, -0.1937255859375, 0.12445068359375, 0.439453125, 0.64892578125, -0.01104736328125, 0.47265625, 0.1302490234375, 0.1881103515625, 0.79833984375, 0.90625, -0.335205078125, 0.6455078125, -0.482421875, -0.1663818359375, 0.0306243896484375, 0.0950927734375, 0.263427734375, -0.412109375, 0.20556640625, -0.376953125, 0.46923828125, 0.27587890625, 0.1968994140625, 0.483642578125, 0.051910400390625, 0.3935546875, -0.955078125, 0.422119140625, 0.36328125, 0.189453125, 0.2493896484375, -0.218017578125, 0.327880859375, -0.11663818359375, -0.42578125, 0.99072265625, -0.564453125, -0.031707763671875, 0.5986328125, -0.0128173828125, -0.19775390625, 0.05487060546875, 0.0214996337890625, 0.52685546875, -0.07525634765625, 0.54541015625, 0.353759765625, -0.7529296875, 0.67431640625, -0.01361083984375, -0.11334228515625, 1.5693359375, 0.370849609375, -0.1944580078125, 0.72021484375, 0.279541015625, -0.97021484375, 0.59912109375, -0.64892578125, 0.697265625, 0.280029296875, -0.1080322265625, -0.2529296875, 0.24609375, 0.011810302734375, 0.365234375, 0.040252685546875, 0.07568359375, -0.1314697265625, 0.47265625, -0.18505859375, 0.85888671875, 0.03375244140625, 0.869140625, -0.5087890625, -0.57958984375, -0.14013671875, -0.385009765625, 0.1717529296875, 0.056427001953125, 0.051849365234375, 1.005859375, 0.623046875, 0.9296875, 0.88671875, -0.27294921875, 0.2091064453125, 0.50390625, -0.325927734375, 0.62255859375, 0.395751953125, 0.6962890625, -0.033782958984375, 0.368408203125, -0.1676025390625, -0.1666259765625, -0.4052734375, -0.2412109375, 0.0259246826171875, 0.70556640625, -0.369140625, 0.22265625, 0.12548828125, 0.17041015625, -0.90966796875, -0.30078125, 0.1298828125, -1.1875, -0.20751953125, 0.84130859375, -0.2303466796875, 0.529296875, -0.369873046875, -0.426513671875, 0.6298828125, 1.4365234375, -0.1839599609375, 0.117431640625, 0.276123046875, 0.187255859375, -0.15283203125, 0.007801055908203125, -0.089111328125, -0.08740234375, -0.76416015625, 0.8232421875, -0.2247314453125, -0.243896484375, -0.068115234375, 0.95263671875, 0.11175537109375, 0.4482421875, -0.7783203125, -0.42578125, 0.479736328125, 1.3515625, 0.09747314453125, -0.0022830963134765625, 0.19384765625, 0.7099609375, 0.441162109375, 0.7138671875, 0.5146484375, 0.0576171875, 0.6484375, 0.53466796875, -0.27001953125, -0.00846099853515625, 0.2041015625, 0.2958984375, 0.68798828125, 0.39453125, 0.384765625, 0.6572265625, -0.285888671875, -0.15283203125, -0.375244140625, 0.447998046875, -0.2091064453125, 0.79541015625, 0.5966796875, 0.2255859375, -0.490234375, -0.1246337890625, 0.55810546875, 0.62158203125, -0.76123046875, -1.087890625, 0.05584716796875, 0.055267333984375, 0.448974609375, -0.0616455078125, 0.2142333984375, 0.18896484375, 0.36669921875, 0.66943359375, -0.0738525390625, -0.77099609375, -0.82861328125, -1.1181640625, -0.8720703125, -0.417724609375, -0.54736328125, -0.198486328125, 0.472900390625, -1.03515625, 0.1260986328125, -0.037445068359375, -0.07763671875, -0.189697265625, -0.5107421875, 0.50537109375, -0.08770751953125, 0.90771484375, -0.31494140625, 0.8525390625, 0.148193359375, 1.0244140625, -0.39794921875, -0.1942138671875, -0.297119140625, -0.441162109375, 0.314453125, 0.10406494140625, 0.66455078125, -0.1202392578125, -0.6259765625, -1.1669921875, -0.228759765625, 0.0024166107177734375, -0.385009765625, 0.21435546875, -0.52490234375, 0.9091796875, 0.496826171875, -0.482177734375, 0.3974609375, 0.82958984375, -0.75830078125, 0.335693359375, 0.0178070068359375, -0.200439453125, -0.69873046875, 1.1572265625, 0.308349609375, 0.451416015625, -0.46630859375, -0.89208984375, -0.491455078125, 0.045654296875, 0.3271484375, -0.72021484375, -0.34228515625, 0.62841796875, 0.2479248046875, -0.921875, 0.7763671875, -1.1484375, -0.71630859375, -0.04931640625, -0.87060546875, 0.72802734375, 0.99267578125, 0.0266876220703125, -0.0899658203125, -0.435302734375, -0.1033935546875, 0.68505859375, 0.39404296875, -0.53125, -0.151123046875, 0.44287109375, 0.041748046875, 0.1484375, 0.269287109375, -0.46044921875, -0.278076171875, -0.1279296875, 0.183837890625, 0.5634765625, 0.299072265625, 0.7451171875, 0.1990966796875, 0.78564453125, -0.77734375, -0.449951171875, 0.036773681640625, 0.5458984375, 0.12548828125, 0.62109375, 0.0255584716796875, -0.310546875, -0.9716796875, -1.0478515625, 0.211669921875, 0.33447265625, 0.6650390625, -0.385986328125, 0.921875, -0.08026123046875, -0.62109375, 0.51171875, -0.8876953125, 0.06787109375, 0.92626953125, -0.3447265625, 0.96435546875, -0.56396484375, 0.525390625, -0.1529541015625, 0.1168212890625, 0.06402587890625, 0.046539306640625, 0.5478515625, -0.269775390625, -0.73583984375, -0.27392578125, 0.09991455078125, -0.051971435546875, -0.3359375, 0.430419921875, -0.61279296875, -0.5537109375, -0.7373046875, 0.859375, 0.442138671875, 0.509765625, -0.10321044921875, 0.457763671875, 0.363525390625, 0.484375, 0.5595703125, -0.1328125, 0.024688720703125, -0.62646484375, 1.25, 0.203369140625, -0.40380859375, -0.2099609375, -0.116455078125, -0.43896484375, -0.06829833984375, 0.1497802734375, 0.0413818359375, -1.17578125, 0.260986328125, 0.01538848876953125, 0.96826171875, -0.498779296875, -0.275390625, -0.2318115234375, 0.273681640625, 0.2095947265625, -0.83984375, -0.0316162109375, -0.75, 0.58837890625, 0.400634765625, -0.259033203125, -0.456298828125, -0.38427734375, -0.916015625, -0.72119140625, -0.0214691162109375, 0.82470703125, 0.06036376953125, 0.10430908203125, -1.423828125, 0.673828125, 0.282958984375, -0.337890625, 0.30322265625, -0.3017578125, 0.607421875, -0.358154296875, 0.66357421875, -0.251220703125, -0.72509765625, 0.08331298828125, -1.275390625, 0.52197265625, -0.0413818359375, 0.53125, -0.017974853515625, -0.53759765625, 0.1392822265625, 0.472900390625, -0.2529296875, 0.310791015625, -0.1298828125, 0.59716796875, -0.80517578125, -0.71826171875, 0.1602783203125, -0.266357421875, -0.360595703125, 0.625, 0.22607421875, -0.333740234375, 0.014556884765625, 0.339599609375, -0.069580078125, 0.400146484375, -0.5830078125, 0.625, -0.15234375, -0.404296875, -0.029449462890625, -0.454833984375, 0.69580078125, -0.338623046875, -0.76806640625, -0.44873046875, -1.3134765625, -0.23876953125, -0.2275390625, -0.2822265625, 0.26806640625, 0.254638671875, -0.4375, -0.0841064453125, -0.5029296875, -0.1024169921875, -0.50634765625, -0.56787109375, -0.71875, 0.3662109375, 0.57421875, 0.57470703125, 0.10906982421875, -0.29443359375, -0.155517578125, -0.07928466796875, 0.091552734375, -0.53076171875, -0.373046875, -0.128173828125, -0.57275390625, -0.048675537109375, 0.1170654296875, 0.06915283203125, 0.46337890625, 0.7119140625, 0.017578125, 0.6240234375, 0.444580078125, -0.56591796875, 0.99462890625, 0.0982666015625, -1.3701171875, -0.5556640625, 0.5888671875, 0.1116943359375, 0.63916015625, -0.07879638671875, -0.82373046875, -0.95947265625, -0.677734375, 0.2139892578125, -0.962890625, -0.52490234375, -0.859375, -0.190673828125, -0.25390625, 0.6025390625, -0.32080078125, -0.77978515625, 0.2066650390625, -1.048828125, 0.62939453125, -0.7060546875, -0.254638671875, -0.857421875, -0.288330078125, -0.25439453125, 0.9453125, 0.139404296875, 0.359130859375, -0.0211639404296875, -0.322021484375, -0.0457763671875, -0.348388671875, -0.6015625, -0.406494140625, 0.10693359375, -0.012298583984375, -0.14892578125, -0.41015625, -0.55517578125, 0.8671875, -0.78076171875, 0.295654296875, -0.4423828125, -0.281005859375, 0.062286376953125, -0.279296875, 0.89208984375, -0.315673828125, 0.2080078125, -0.2117919921875, 0.537109375, 1.20703125, -0.27197265625, -0.306396484375, -0.7744140625, -0.625, -0.966796875, 0.56689453125, -0.73486328125, 0.061981201171875, -1.01953125, -0.245361328125, 0.95361328125, -0.439208984375, 0.390380859375, 0.9306640625, 0.1995849609375, 0.287353515625, -0.744140625, 0.66064453125, 0.47021484375, -0.415283203125, -0.1502685546875, -0.09222412109375, -0.3095703125, 0.289306640625, 0.1280517578125, -1.0263671875, -0.87939453125, 0.482666015625, 0.96826171875, -0.53466796875, 0.91943359375, 0.26123046875, -1.150390625, -0.47509765625, 0.6328125, 0.0772705078125, 0.06512451171875, 0.9697265625, -0.044952392578125, -0.1832275390625, 0.29296875, -0.05706787109375, -0.311767578125, -0.33203125, 0.9169921875, -0.47802734375, -0.50537109375, 0.9384765625, 0.9111328125, -1.2509765625, -1.0126953125, -0.468505859375, 0.01580810546875, 0.08343505859375, -0.79931640625, -0.11859130859375, 0.44140625, -0.58740234375, 0.1563720703125, 0.52490234375, -0.1158447265625, 0.470947265625, 0.240966796875, 0.263427734375, -0.448486328125, 0.5390625, 0.66748046875, -0.419921875, -0.62353515625, -1.064453125, -0.298583984375, -0.61669921875, 0.048736572265625, 0.61279296875, -0.1973876953125, 0.383056640625, 0.53515625, 0.265380859375, 0.724609375, -0.57568359375, -0.29443359375, 0.314453125, -1.0009765625, -0.30908203125, -0.25927734375, 0.46484375, -0.07904052734375, 0.334228515625, -0.357421875, -0.0291900634765625, 0.334716796875, 0.4873046875, -0.12322998046875, -0.7333984375, -0.147705078125, -0.96337890625, -0.6201171875, -0.48779296875, -0.525390625, 0.07537841796875, 0.052520751953125, -0.4697265625, -0.79248046875, 0.0243988037109375, 0.3369140625, -0.603515625, 1.029296875, -0.389404296875, 0.30126953125, -0.77001953125, -0.36279296875, -0.5732421875, -0.452392578125, -0.6484375, -0.200927734375, -0.54443359375, 0.3935546875, -0.225341796875, 0.371337890625, -0.203125, 0.236572265625, 0.09063720703125, -0.422607421875, 0.0711669921875, 0.1397705078125, -0.0270843505859375, 0.9892578125, 0.63916015625, -0.035736083984375, 0.359130859375, -0.2939453125, -0.658203125, -0.331298828125, 0.63232421875, 0.74072265625, 0.04730224609375, -0.146484375, -0.474609375, -0.1376953125, -1.173828125, 0.49658203125, -0.445068359375, 0.409912109375, 0.358154296875, -0.02593994140625, 0.650390625, 1.224609375, -0.179443359375, 0.29736328125, 0.381103515625, 0.474853515625, 0.34521484375, -0.05712890625, -0.1573486328125, 0.962890625, 0.16845703125, -0.372802734375, -0.0240631103515625, 0.4169921875, 0.66015625, 0.326904296875, -0.4306640625, -0.65283203125, -0.91455078125, 0.1611328125, 0.1639404296875, 0.33349609375, 1.05859375, -0.56298828125, -0.165283203125, -0.53466796875, -0.6474609375, -0.041351318359375, -0.927734375, -0.67919921875, 0.283447265625, 0.020843505859375, -0.391845703125, -0.036285400390625, -0.451416015625, -0.609375, -0.019775390625, 0.345458984375, -0.410888671875, 0.43896484375, -0.351806640625, 0.7568359375, -0.280517578125, 0.171142578125, 0.1346435546875, 0.6484375, -0.5625, -0.58251953125, -0.1956787109375, 1.25390625, 0.205322265625, 0.039337158203125, -0.492919921875, 0.1981201171875, -0.330810546875, 0.03564453125, -0.31884765625, 0.0243377685546875, -0.10394287109375, 0.78173828125, -0.72314453125, -0.047149658203125, -0.15283203125, 0.203857421875, 0.040771484375, -0.513671875, -0.609375, 0.83056640625, 0.65966796875, -0.08392333984375, 0.366455078125, 0.28662109375, 0.275146484375, -0.06976318359375, -0.181884765625, -0.2666015625, 0.309814453125, 0.5224609375, 0.57763671875, -0.266357421875, 0.44580078125, 0.455322265625, -0.2235107421875, -0.1412353515625, 0.003875732421875, 0.357666015625, 0.0251617431640625, 0.265380859375, -0.1873779296875, -0.09613037109375, 0.263916015625, -0.59521484375, 0.22265625, -0.1441650390625, 0.015106201171875, -0.29736328125, -0.5419921875, 0.6923828125, -0.4013671875, -0.1796875, -0.062347412109375, -0.76220703125, 0.599609375, 0.84423828125, 0.050506591796875, -0.050048828125, 0.9794921875, 0.461669921875, 0.271484375, 0.66015625, 0.56396484375, 0.1741943359375, -0.61181640625, 0.120849609375, 0.37158203125, 0.128173828125, -0.306396484375, -0.552734375, -0.73193359375, 0.63330078125, -0.40869140625, -0.31640625, 0.2218017578125, -0.80712890625, 0.0035533905029296875, -0.57861328125, 0.7607421875, -0.54638671875, 0.411865234375, 0.028106689453125, -0.52294921875, -0.5673828125, 0.90966796875, -0.083740234375, 0.53759765625, 0.1666259765625, 1.431640625, 0.109619140625, 1.3291015625, 0.591796875, -0.1270751953125, 0.1700439453125, 0.408935546875, -0.215087890625, -0.515625, -0.08001708984375, -0.411865234375, -0.061553955078125, -0.61767578125, -0.469482421875, -0.364013671875, 0.8583984375, 0.14990234375, -0.9580078125, -0.040374755859375, 0.09906005859375, -0.83642578125, 0.53076171875, -0.1461181640625, 0.495849609375, 0.1331787109375, 0.373291015625, -0.0986328125, -1.1494140625, 0.05303955078125, -0.50341796875, 0.50146484375, -0.48388671875, -0.5478515625, -0.287841796875, -0.703125, -0.26904296875, -0.266845703125, -0.349853515625, -0.49560546875, 0.64453125, 0.52685546875, 0.376953125, 0.267333984375, -0.61181640625, 0.256591796875, 0.85107421875, 1.033203125, -0.07080078125, 0.470947265625, 0.6171875, -0.476318359375, -0.177490234375, -0.73779296875, 0.426025390625, 0.150390625, 0.28076171875, -0.4814453125, 0.10821533203125, -0.65869140625, -1.1337890625, -0.220703125, 0.67236328125, 0.484130859375, -0.55712890625, -1.2119140625, -0.53857421875, -1.1005859375, -0.42236328125, -0.708984375, 0.371337890625, -0.07733154296875, 0.489013671875, 0.33447265625, -1.1162109375, 4.41796875, 0.9716796875, 0.76416015625, 0.32421875, 0.53759765625, 1.4150390625, 0.3671875, -0.6923828125, -0.1337890625, -0.84326171875, 0.5400390625, -0.28125, 0.09503173828125, 0.94482421875, -0.055877685546875, 0.6767578125, -1.048828125, -0.3203125, -0.11700439453125, -1.15234375, -0.81787109375, -0.2220458984375, 0.035247802734375, 0.338134765625, 0.043792724609375, 0.2393798828125, 0.467529296875, -0.951171875, -0.2215576171875, -0.5703125, -0.218505859375, -0.339111328125, 0.92724609375, 0.44482421875, -0.3193359375, 0.4443359375, -0.157958984375, -0.364990234375, -0.0343017578125, 0.2200927734375, -0.004444122314453125, 0.142822265625, 0.5390625, -0.4951171875, -0.057769775390625, 0.7724609375, -0.52001953125, 0.147216796875, -0.0936279296875, -0.78857421875, 0.69091796875, 0.06414794921875, 0.65869140625, -0.352783203125, -0.74462890625, 0.21484375, 0.4443359375, 0.214111328125, -0.434814453125, 0.258056640625, 0.1549072265625, 0.431396484375, 0.0316162109375, 0.455322265625, -1.044921875, 1.0673828125, -0.0362548828125, 0.297607421875, -0.609375, 0.1455078125, -0.30419921875, -0.28271484375, -0.355712890625, -0.1500244140625, 0.65576171875, 0.197509765625, -0.123779296875, 0.484130859375, 0.498046875, -0.3486328125, 0.3349609375, -0.488037109375, -0.48779296875, -0.21142578125, 0.67724609375, 1.0498046875, -0.40283203125, -0.0548095703125, 0.069580078125, 0.748046875, 0.52197265625, 0.7568359375, -0.064208984375, -0.76025390625, -0.450927734375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Tags: *special, binary search, brute force, data structures, strings Correct Solution: ``` # cook your dish here n=int(input()) s=list(input())*n d={} for i in range(len(s)): if s[i] not in d: d[s[i]]=[i] else: d[s[i]].append(i) m=int(input()) for i in range(m): o,c=input().split() s[d[c].pop(int(o)-1)]='' print(''.join(s)) ```
7,816
[ 0.08831787109375, -0.2435302734375, 0.2071533203125, 0.344970703125, -0.2431640625, -0.463623046875, -0.4345703125, -0.4833984375, 0.457763671875, 0.67138671875, 1.2509765625, -0.33447265625, 0.1009521484375, -0.96484375, -0.75244140625, 0.06195068359375, -0.61181640625, -0.669921875, -0.65283203125, -0.342529296875, 0.273681640625, -0.1424560546875, -1.1953125, -0.280029296875, -0.419677734375, 0.93798828125, 0.1708984375, -0.404296875, 1.0126953125, 1.0986328125, -0.435546875, -0.491455078125, 0.85986328125, -0.78857421875, -0.330078125, -0.294677734375, 0.38134765625, -0.56884765625, -0.5712890625, -0.2088623046875, 0.16162109375, -0.572265625, 0.34716796875, -0.59814453125, -1.1708984375, 0.10284423828125, -0.705078125, -0.246337890625, -0.55224609375, -0.6962890625, -0.059173583984375, -0.0855712890625, 0.97412109375, -0.06597900390625, -0.1932373046875, -0.2958984375, -0.06109619140625, -0.406982421875, -0.458251953125, 0.313720703125, -0.04034423828125, 0.248291015625, -0.197021484375, -0.343505859375, 0.052032470703125, 0.006031036376953125, -0.03411865234375, -0.1417236328125, 0.12359619140625, -0.7216796875, -0.108642578125, 0.322265625, -0.3828125, -0.56396484375, -0.2421875, -0.28076171875, 0.141845703125, -0.275390625, -0.6572265625, 0.63037109375, -0.1541748046875, 0.69482421875, 0.0184173583984375, 0.2364501953125, -0.546875, -0.3916015625, 0.2666015625, 0.3349609375, -0.033905029296875, -0.08673095703125, -0.02178955078125, 0.67626953125, -0.453369140625, -0.306396484375, 0.65673828125, 0.79736328125, -0.380615234375, 0.279541015625, 0.270751953125, -0.004276275634765625, 0.98095703125, 0.70654296875, -0.11920166015625, 1.0791015625, -0.41845703125, 0.24560546875, 0.039337158203125, 0.293701171875, -0.455322265625, -0.5068359375, -0.0888671875, -0.302734375, 0.64013671875, 0.155517578125, -0.10809326171875, 0.93603515625, -0.1038818359375, 0.314697265625, -0.56494140625, -0.035247802734375, 0.36083984375, -0.0860595703125, 0.380615234375, -0.84814453125, 0.1744384765625, -0.60302734375, -0.87353515625, 1.193359375, -0.4072265625, 0.232421875, 0.186767578125, 0.0047760009765625, -0.3427734375, 0.0211029052734375, -0.1583251953125, 1.0810546875, -0.15380859375, 0.7431640625, 0.5029296875, -0.74755859375, 0.5615234375, 0.19189453125, -0.11639404296875, 1.2607421875, 0.6533203125, 0.572265625, 0.626953125, 0.44970703125, -0.59912109375, 0.176025390625, -0.80224609375, 0.525390625, 0.50244140625, 0.10107421875, -0.16650390625, 0.350830078125, -0.416748046875, 0.58447265625, 0.0016317367553710938, 0.31494140625, -0.454345703125, 0.2354736328125, -0.105712890625, 0.70458984375, -0.02984619140625, 1.234375, -0.626953125, -0.6767578125, -0.11474609375, -0.86181640625, 0.38916015625, -0.282470703125, -0.07708740234375, 0.7978515625, 0.61474609375, 0.8583984375, 0.413818359375, -0.12237548828125, 0.07318115234375, -0.1390380859375, -0.463134765625, 0.57470703125, 0.49072265625, 0.460693359375, 0.119140625, 0.1572265625, -0.08038330078125, -0.42578125, -0.78955078125, -0.634765625, 0.0787353515625, 0.60302734375, -0.26416015625, 0.09844970703125, 0.37255859375, -0.188720703125, -0.8505859375, -0.10345458984375, 0.60107421875, -1.1982421875, 0.158203125, 0.69775390625, -0.2288818359375, 0.51025390625, -0.21630859375, -0.45166015625, 0.75439453125, 1.09375, 0.0316162109375, 0.1146240234375, 0.5869140625, -0.12457275390625, -0.1708984375, -0.115966796875, 0.0214691162109375, -0.332275390625, -0.3095703125, 0.7958984375, -0.392333984375, -0.21044921875, -0.08154296875, 0.7353515625, 0.2052001953125, 0.480224609375, -0.292236328125, 0.2498779296875, 0.269287109375, 1.244140625, -0.1802978515625, 0.1383056640625, 0.114013671875, 0.5439453125, 0.317138671875, 0.58837890625, 0.45654296875, 0.04388427734375, 0.79052734375, 1.1474609375, -0.2215576171875, 0.30859375, 0.381103515625, 0.5185546875, 0.708984375, 0.264404296875, -0.057281494140625, 0.5390625, 0.1888427734375, 0.2117919921875, -0.311279296875, 0.329833984375, -0.646484375, 0.345703125, 0.212890625, -0.0285797119140625, -0.54296875, -0.26513671875, 0.34228515625, 0.62451171875, -0.78369140625, -0.2274169921875, -0.68408203125, 0.267578125, 0.70703125, -0.042449951171875, 0.206787109375, 0.50927734375, 0.53125, 0.60107421875, -0.1488037109375, -0.2115478515625, -0.78759765625, -1.0654296875, -0.73876953125, -0.75439453125, -0.79248046875, -0.04266357421875, -0.035980224609375, -1.052734375, 0.415283203125, -0.29931640625, -0.25048828125, 0.41796875, -0.470703125, 0.8662109375, -0.2169189453125, 0.7763671875, -0.80224609375, 0.66015625, 0.041961669921875, 0.8076171875, -0.2498779296875, 0.10845947265625, 0.1239013671875, -0.7998046875, -0.02630615234375, -0.0283966064453125, 0.83447265625, -0.1614990234375, -0.74609375, -1.07421875, -0.36865234375, 0.32861328125, -0.6015625, 0.40283203125, -0.67138671875, 0.701171875, 0.379638671875, -0.194091796875, 0.802734375, 0.491455078125, -0.70849609375, 0.474853515625, 0.130859375, -0.12744140625, -0.86181640625, 0.982421875, 0.60498046875, 0.8623046875, -0.64892578125, -0.65478515625, -0.5810546875, 0.0841064453125, 0.43701171875, -0.394287109375, -0.52197265625, 0.2529296875, 0.1531982421875, -1.1708984375, 0.58935546875, -0.93798828125, -0.462890625, -0.30224609375, -0.421875, 0.83154296875, 1.3173828125, -0.27587890625, -0.27978515625, 0.11419677734375, -0.244140625, 0.95166015625, 0.59521484375, -0.57421875, 0.18603515625, 0.5048828125, -0.191162109375, -0.236083984375, 0.137451171875, -0.5078125, -0.371337890625, -0.09442138671875, 0.1824951171875, 0.379150390625, 0.209716796875, 0.413330078125, 0.587890625, 0.64453125, -0.99169921875, -0.412109375, -0.07574462890625, 0.7841796875, 0.48583984375, 0.462646484375, 0.1654052734375, -0.428955078125, -0.438232421875, -0.48486328125, -0.07684326171875, 0.623046875, 0.66845703125, -0.70654296875, 0.439208984375, 0.673828125, -0.79638671875, 0.66015625, -0.65673828125, 0.3359375, 1.1796875, -0.441650390625, 0.7841796875, -0.443359375, 0.17236328125, 0.003017425537109375, -0.06219482421875, 0.2130126953125, 0.207275390625, 0.12493896484375, -0.6142578125, -0.366455078125, -0.292236328125, -0.435302734375, 0.25927734375, -0.394775390625, -0.41748046875, -0.283935546875, -0.374267578125, -0.611328125, 0.52978515625, 0.80810546875, 0.74658203125, -0.031494140625, 0.5634765625, 0.5546875, 0.23876953125, 0.5966796875, -0.415283203125, 0.2080078125, -0.736328125, 1, 0.2529296875, -0.380126953125, -0.253173828125, 0.07232666015625, 0.07708740234375, -0.0165863037109375, -0.0474853515625, -0.1197509765625, -1.072265625, 0.0261383056640625, -0.2296142578125, 0.91845703125, -0.56982421875, -0.3828125, -0.62255859375, 0.6474609375, 0.0753173828125, -0.8212890625, 0.444580078125, -0.94384765625, 0.89306640625, 0.73095703125, -0.1546630859375, -0.50146484375, -0.50390625, -0.93701171875, -0.630859375, 0.2066650390625, 0.391357421875, -0.7451171875, -0.047119140625, -0.80712890625, 0.477783203125, 0.2252197265625, -0.18408203125, -0.04547119140625, -0.2314453125, 0.55615234375, -0.0210723876953125, 0.802734375, -0.260009765625, -0.68359375, 0.380615234375, -1.013671875, 0.6767578125, -0.62451171875, 0.60009765625, -0.1629638671875, -0.2568359375, -0.031829833984375, 0.29638671875, -0.43212890625, 0.1304931640625, 0.035430908203125, 0.04718017578125, -0.9013671875, -0.61083984375, 0.357177734375, -0.494384765625, -0.09185791015625, 0.454345703125, 0.275634765625, -0.0784912109375, 0.373046875, 0.2408447265625, -0.31396484375, 0.4287109375, -0.7177734375, 0.96484375, -0.397705078125, -0.5625, -0.0257720947265625, -0.383544921875, 0.5556640625, -0.23193359375, -0.62890625, -0.463134765625, -1.2568359375, -0.0927734375, -0.155029296875, -0.2783203125, 0.50830078125, 0.43896484375, -0.3388671875, -0.07476806640625, -0.301025390625, -0.368408203125, -0.17626953125, -0.75244140625, -0.482421875, 0.11627197265625, -0.0003848075866699219, 0.82470703125, 0.007534027099609375, -0.410888671875, -0.032440185546875, 0.1455078125, 0.02459716796875, -0.515625, -0.290771484375, 0.0821533203125, 0.1678466796875, -0.55322265625, 0.2183837890625, -0.1375732421875, 0.68212890625, 1.1845703125, -0.118896484375, 0.2188720703125, 0.283935546875, -0.356689453125, 1.0068359375, 0.13623046875, -0.837890625, -0.380615234375, 0.416259765625, 0.057159423828125, 0.6669921875, 0.74365234375, -1.3056640625, -0.319580078125, -0.70263671875, 0.59716796875, -0.69140625, -0.1693115234375, -1.3642578125, -0.372802734375, -0.49609375, 0.6357421875, -0.0379638671875, -0.560546875, 0.2685546875, -0.85888671875, 0.146728515625, -0.76904296875, -0.5126953125, -0.67236328125, -0.73779296875, 0.0064544677734375, 0.84326171875, 0.273681640625, 0.52978515625, 0.11273193359375, -0.373046875, 0.42578125, -0.331298828125, -0.79052734375, -0.57421875, -0.451904296875, 0.21728515625, -0.126953125, -0.007686614990234375, -0.79150390625, 0.78564453125, -0.69580078125, 0.07501220703125, -0.375244140625, -0.150390625, -0.245361328125, 0.02789306640625, 1.0791015625, -0.86279296875, 0.2314453125, -0.41455078125, 0.69970703125, 0.5087890625, -0.385009765625, 0.035064697265625, -0.57470703125, -0.86669921875, -1.0458984375, 0.60693359375, -0.37353515625, 0.227783203125, -0.9013671875, 0.1849365234375, 0.77001953125, -0.6591796875, 0.388671875, 1.009765625, 0.403076171875, 0.51513671875, -0.61328125, 0.92236328125, 0.57666015625, -0.33935546875, 0.0085296630859375, -0.07781982421875, -0.7080078125, 0.01114654541015625, -0.2144775390625, -0.7080078125, -0.421630859375, 0.330322265625, 1.396484375, -0.0191802978515625, 0.8271484375, -0.08245849609375, -0.8974609375, -0.767578125, 0.65380859375, 0.172119140625, 0.3955078125, 1.060546875, -0.3212890625, -0.11676025390625, 0.453857421875, 0.1402587890625, -0.195068359375, -0.458740234375, 0.8974609375, -0.0982666015625, -0.6279296875, 0.6064453125, 1.0400390625, -1.1728515625, -1.0263671875, -0.3359375, -0.1663818359375, -0.6904296875, -0.461669921875, 0.0751953125, 0.8681640625, -0.93896484375, -0.043121337890625, 0.38427734375, -0.301025390625, 0.60888671875, -0.1214599609375, 0.298828125, -0.3583984375, 0.47119140625, 0.7451171875, -0.568359375, -0.15087890625, -1.0029296875, -0.372802734375, -0.1705322265625, 0.379150390625, 0.84375, -0.6806640625, -0.1812744140625, 0.42919921875, -0.025054931640625, 0.69189453125, 0.10040283203125, -0.1063232421875, 0.043365478515625, -0.8994140625, -0.53125, 0.2626953125, 0.348876953125, -0.57958984375, 0.58544921875, -0.59765625, 0.041259765625, 0.63623046875, 0.5224609375, -0.46630859375, -0.89697265625, 0.182373046875, -1.0654296875, -0.5791015625, -0.82763671875, -0.34765625, -0.29248046875, 0.325927734375, 0.07379150390625, -0.65625, -0.007358551025390625, 0.310302734375, -0.552734375, 0.62890625, -0.237548828125, 0.421630859375, -0.6171875, -0.381591796875, -0.86865234375, -0.199951171875, -0.371337890625, -0.409423828125, -0.362548828125, 0.7216796875, -0.135009765625, 0.4267578125, -0.040283203125, 0.53955078125, -0.32421875, -1.08203125, -0.1475830078125, -0.1329345703125, -0.19189453125, 0.40673828125, 0.369873046875, 0.2666015625, 0.6435546875, -0.187255859375, -0.397705078125, -0.263671875, 0.79736328125, 0.677734375, -0.347412109375, -0.086669921875, -0.421142578125, 0.03973388671875, -0.7890625, 0.247314453125, -0.65185546875, 0.33154296875, 0.04144287109375, -0.250732421875, 0.315673828125, 1.1611328125, 0.01153564453125, 0.236083984375, 0.0609130859375, 0.2393798828125, 0.7001953125, -0.429443359375, 0.33935546875, 0.404541015625, -0.2330322265625, 0.1192626953125, -0.089599609375, 0.564453125, 0.2218017578125, 0.118408203125, -0.252197265625, -0.466552734375, -0.83740234375, -0.403564453125, 0.291015625, 0.5625, -0.047088623046875, -0.260498046875, -0.0303955078125, 0.11370849609375, -0.28759765625, 0.06036376953125, -1.1484375, -0.52392578125, 0.6640625, -0.50732421875, -0.76220703125, -0.3330078125, -0.250732421875, -0.362548828125, 0.00896453857421875, 0.7392578125, -0.09051513671875, 0.2374267578125, 0.16064453125, 0.3994140625, -0.06451416015625, -0.337646484375, 0.33935546875, 0.4912109375, -0.58447265625, -0.325439453125, 0.468017578125, 1.0146484375, 0.138916015625, -0.52294921875, -0.72314453125, 0.0772705078125, 0.2154541015625, 0.032867431640625, -0.1358642578125, 0.07623291015625, -0.414794921875, 0.564453125, -0.7353515625, 0.033721923828125, -0.04827880859375, 0.49609375, 0.2294921875, -0.59423828125, -0.6962890625, 1.2373046875, 0.459228515625, -0.51025390625, 0.4375, 0.28857421875, 0.37841796875, -0.330078125, -0.11285400390625, -0.134765625, 0.58642578125, 0.810546875, 0.3203125, 0.03076171875, 0.196533203125, 0.701171875, 0.339111328125, -0.0640869140625, -0.107421875, 0.2264404296875, -0.17822265625, 0.54296875, -0.394775390625, -0.57080078125, -0.168701171875, -0.48779296875, 0.2030029296875, -0.277099609375, 0.1463623046875, -0.257080078125, -0.416015625, 0.62890625, -0.625, 0.267822265625, 0.370361328125, -0.52587890625, 0.23193359375, 0.767578125, -0.1336669921875, -0.364013671875, 0.71630859375, 0.483154296875, 0.6650390625, 0.7685546875, 0.69921875, 0.0787353515625, -0.53271484375, 0.42626953125, 0.08367919921875, 0.18701171875, -0.23486328125, -0.689453125, -0.61474609375, -0.0216217041015625, -0.326416015625, -0.126708984375, 0.60888671875, -0.391357421875, 0.0004444122314453125, -0.05914306640625, 0.96435546875, -0.07342529296875, 0.373046875, 0.427734375, -0.5634765625, -0.63720703125, 0.91162109375, -0.50830078125, 0.56396484375, -0.1722412109375, 1.1220703125, -0.0069122314453125, 1.2705078125, 0.415283203125, -0.450439453125, -0.01026153564453125, 0.42822265625, -0.255615234375, -0.859375, -0.38916015625, -0.0406494140625, 0.43310546875, -0.302001953125, -0.454345703125, 0.05743408203125, 0.7392578125, 0.2239990234375, -0.720703125, -0.1778564453125, 0.0960693359375, -0.74169921875, 0.2646484375, 0.09088134765625, -0.035400390625, -0.01384735107421875, -0.054534912109375, 0.28271484375, -1.0234375, -0.051849365234375, -0.41650390625, 0.64501953125, -0.52880859375, -0.265869140625, -1.1201171875, -0.70166015625, -0.1881103515625, 0.0136871337890625, -0.317626953125, -0.96630859375, 0.60400390625, 0.5283203125, 0.5, 0.475830078125, -0.0947265625, 0.22314453125, 0.99853515625, 0.935546875, -0.07525634765625, 0.476806640625, 0.2425537109375, -0.2626953125, 0.2352294921875, -0.50390625, 0.32470703125, 0.21240234375, 0.04010009765625, -0.208740234375, -0.07989501953125, -0.68994140625, -0.99755859375, 0.2529296875, 0.97412109375, 0.5576171875, -0.45263671875, -0.75244140625, -0.363037109375, -1.0458984375, -0.09698486328125, -0.65478515625, 0.529296875, 0.0880126953125, -0.202880859375, 0.1824951171875, -0.95556640625, 4.4140625, 1.11328125, 1.236328125, 0.347900390625, 0.09185791015625, 0.958984375, 0.482421875, -0.2021484375, -0.266357421875, -0.373046875, 0.60546875, -0.2861328125, 0.379638671875, 1.046875, 0.245361328125, 0.21142578125, -0.630859375, -0.005809783935546875, -0.08343505859375, -1.0478515625, -0.70166015625, 0.09588623046875, -0.1251220703125, 0.7861328125, -0.387451171875, 0.274169921875, 0.1463623046875, -0.81884765625, 0.1275634765625, -0.49658203125, -0.14306640625, -0.403564453125, 0.78955078125, -0.2391357421875, -0.08917236328125, 0.488037109375, -0.004535675048828125, -0.6083984375, -0.263916015625, -0.024993896484375, 0.19482421875, 0.282958984375, 0.1339111328125, -0.75830078125, 0.2294921875, 0.40625, -0.5576171875, 0.430419921875, 0.427734375, -0.8837890625, 0.96923828125, -0.393310546875, 0.422607421875, -0.90234375, -0.5244140625, 0.2362060546875, 0.0462646484375, -0.21044921875, -0.431640625, 0.666015625, 0.486572265625, 0.2802734375, 0.149658203125, 0.02886962890625, -0.76220703125, 0.94970703125, -0.626953125, 0.64208984375, -0.6240234375, -0.4345703125, -0.2373046875, -0.48583984375, 0.085205078125, -0.68212890625, 0.69970703125, -0.1973876953125, -0.44677734375, 0.59130859375, 0.257080078125, -0.9150390625, 0.1300048828125, -0.190673828125, -0.65966796875, -0.4951171875, 0.412109375, 0.86376953125, -0.424560546875, -0.2415771484375, 0.045745849609375, 0.6123046875, 0.6767578125, 0.328369140625, 0.06591796875, -0.53662109375, -0.288818359375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Tags: *special, binary search, brute force, data structures, strings Correct Solution: ``` k = int(input()) string = list(input()) * k d = {} for i, letter in enumerate(string): if letter not in d: d[letter] = [i] else: d[letter].append(i) n = int(input()) for i in range(n): inp = input().split() p, c = int(inp[0]), inp[1] index = d[c][p-1] string[index] = '$' d[c].pop(p-1) print(*filter(lambda x: x != '$', string), sep='') ```
7,817
[ 0.09027099609375, -0.1932373046875, 0.272216796875, 0.3583984375, -0.26904296875, -0.57470703125, -0.452392578125, -0.479736328125, 0.35986328125, 0.65771484375, 1.2822265625, -0.327392578125, 0.0845947265625, -0.95947265625, -0.76025390625, 0.0323486328125, -0.6640625, -0.65087890625, -0.56982421875, -0.296875, 0.2071533203125, -0.1400146484375, -1.220703125, -0.2744140625, -0.355712890625, 0.95263671875, 0.187744140625, -0.3720703125, 1.0341796875, 1.1630859375, -0.3798828125, -0.5068359375, 0.92431640625, -0.76123046875, -0.358154296875, -0.28125, 0.406494140625, -0.57275390625, -0.5302734375, -0.1949462890625, 0.129638671875, -0.56396484375, 0.33984375, -0.6337890625, -1.2216796875, 0.050018310546875, -0.7001953125, -0.257568359375, -0.58740234375, -0.6826171875, -0.034088134765625, -0.223876953125, 0.9951171875, -0.060516357421875, -0.187744140625, -0.3056640625, -0.0023250579833984375, -0.431640625, -0.46484375, 0.339111328125, -0.0831298828125, 0.226318359375, -0.1796875, -0.32568359375, 0.08941650390625, 0.0174407958984375, -0.0771484375, -0.116943359375, 0.1295166015625, -0.7412109375, -0.1314697265625, 0.327392578125, -0.364990234375, -0.57275390625, -0.218017578125, -0.233154296875, 0.13720703125, -0.250244140625, -0.66845703125, 0.6845703125, -0.1373291015625, 0.69970703125, 0.1085205078125, 0.2388916015625, -0.57763671875, -0.359619140625, 0.22705078125, 0.3095703125, -0.035064697265625, -0.07989501953125, 0.000701904296875, 0.65869140625, -0.4189453125, -0.278564453125, 0.64013671875, 0.7958984375, -0.3583984375, 0.219482421875, 0.2060546875, 0.05401611328125, 1.0048828125, 0.658203125, -0.179443359375, 1.05859375, -0.451416015625, 0.16748046875, 0.0819091796875, 0.23974609375, -0.379638671875, -0.5625, -0.048858642578125, -0.25634765625, 0.64697265625, 0.198486328125, -0.12054443359375, 0.90234375, -0.054168701171875, 0.2998046875, -0.5791015625, -0.0195159912109375, 0.377197265625, -0.047119140625, 0.432861328125, -0.7099609375, 0.1566162109375, -0.56201171875, -0.884765625, 1.2138671875, -0.39892578125, 0.2138671875, 0.260009765625, 0.007495880126953125, -0.407470703125, 0.0135650634765625, -0.1492919921875, 1.0390625, -0.12109375, 0.73779296875, 0.455810546875, -0.7470703125, 0.5439453125, 0.259033203125, -0.07763671875, 1.2705078125, 0.6298828125, 0.564453125, 0.67236328125, 0.496337890625, -0.642578125, 0.1973876953125, -0.869140625, 0.54931640625, 0.50048828125, 0.1678466796875, -0.1455078125, 0.378173828125, -0.52734375, 0.59912109375, 0.040863037109375, 0.254638671875, -0.421142578125, 0.285400390625, -0.06243896484375, 0.701171875, -0.0645751953125, 1.19140625, -0.67236328125, -0.70068359375, -0.09991455078125, -0.87109375, 0.400390625, -0.299560546875, -0.10833740234375, 0.82470703125, 0.63916015625, 0.85693359375, 0.416015625, -0.044036865234375, 0.11285400390625, -0.1126708984375, -0.39111328125, 0.53857421875, 0.5361328125, 0.496826171875, 0.05377197265625, 0.233154296875, -0.0193939208984375, -0.4130859375, -0.802734375, -0.642578125, 0.08929443359375, 0.6181640625, -0.2470703125, 0.07525634765625, 0.302978515625, -0.22412109375, -0.96435546875, -0.07513427734375, 0.6123046875, -1.236328125, 0.20654296875, 0.67529296875, -0.22900390625, 0.55810546875, -0.289794921875, -0.474609375, 0.72802734375, 1.0732421875, 0.06658935546875, 0.1058349609375, 0.634765625, -0.1021728515625, -0.18701171875, -0.0797119140625, 0.0753173828125, -0.371337890625, -0.33837890625, 0.8154296875, -0.43212890625, -0.2269287109375, -0.06658935546875, 0.748046875, 0.2103271484375, 0.54296875, -0.3125, 0.165771484375, 0.340576171875, 1.2158203125, -0.2017822265625, 0.1336669921875, 0.1822509765625, 0.55517578125, 0.394287109375, 0.61962890625, 0.42333984375, 0.05877685546875, 0.7734375, 1.181640625, -0.1895751953125, 0.260009765625, 0.32421875, 0.5361328125, 0.75732421875, 0.26904296875, -0.0194244384765625, 0.51708984375, 0.14404296875, 0.1756591796875, -0.28173828125, 0.283935546875, -0.65234375, 0.326904296875, 0.1883544921875, 0.019378662109375, -0.57373046875, -0.277587890625, 0.397705078125, 0.546875, -0.79345703125, -0.1832275390625, -0.7021484375, 0.330078125, 0.70068359375, -0.0016775131225585938, 0.2103271484375, 0.48388671875, 0.54931640625, 0.568359375, -0.140869140625, -0.2607421875, -0.7646484375, -1.0341796875, -0.767578125, -0.75927734375, -0.7294921875, -0.09283447265625, -0.02783203125, -1.080078125, 0.397705078125, -0.38427734375, -0.271728515625, 0.403076171875, -0.47900390625, 0.814453125, -0.214599609375, 0.75048828125, -0.81005859375, 0.6474609375, 0.04296875, 0.796875, -0.261474609375, 0.1279296875, 0.07171630859375, -0.7783203125, -0.011444091796875, -0.056121826171875, 0.8759765625, -0.10107421875, -0.83740234375, -1.0693359375, -0.4140625, 0.353271484375, -0.59521484375, 0.37255859375, -0.60595703125, 0.755859375, 0.3935546875, -0.235595703125, 0.80712890625, 0.62353515625, -0.76123046875, 0.442138671875, 0.175048828125, -0.1298828125, -0.93212890625, 1.03125, 0.54248046875, 0.78564453125, -0.615234375, -0.66259765625, -0.5810546875, 0.0743408203125, 0.42529296875, -0.3154296875, -0.43310546875, 0.31298828125, 0.228271484375, -1.1923828125, 0.58154296875, -0.9130859375, -0.45947265625, -0.368408203125, -0.449462890625, 0.85107421875, 1.3095703125, -0.30078125, -0.264892578125, 0.03424072265625, -0.255126953125, 0.9560546875, 0.57568359375, -0.58740234375, 0.13623046875, 0.466552734375, -0.1578369140625, -0.2626953125, 0.1021728515625, -0.4951171875, -0.389892578125, -0.04241943359375, 0.1463623046875, 0.3271484375, 0.18359375, 0.443115234375, 0.5556640625, 0.60205078125, -0.9375, -0.437255859375, -0.09783935546875, 0.75732421875, 0.49169921875, 0.5439453125, 0.22021484375, -0.43994140625, -0.3544921875, -0.60107421875, -0.127685546875, 0.71875, 0.66943359375, -0.732421875, 0.51220703125, 0.66845703125, -0.814453125, 0.6767578125, -0.63427734375, 0.274169921875, 1.17578125, -0.4619140625, 0.77490234375, -0.478271484375, 0.1907958984375, -0.0222930908203125, -0.056884765625, 0.2369384765625, 0.2998046875, 0.157958984375, -0.572265625, -0.3916015625, -0.276611328125, -0.43896484375, 0.285888671875, -0.35888671875, -0.37158203125, -0.260009765625, -0.420654296875, -0.654296875, 0.54150390625, 0.8056640625, 0.7353515625, -0.0806884765625, 0.52783203125, 0.55517578125, 0.2401123046875, 0.646484375, -0.417724609375, 0.210693359375, -0.70751953125, 1.0517578125, 0.210693359375, -0.384033203125, -0.311767578125, 0.06268310546875, 0.11578369140625, -0.00806427001953125, 0.013580322265625, -0.10162353515625, -1.09765625, -0.0101470947265625, -0.22607421875, 0.92236328125, -0.5361328125, -0.341064453125, -0.681640625, 0.64794921875, 0.035247802734375, -0.84130859375, 0.45263671875, -0.94921875, 0.86328125, 0.68896484375, -0.1151123046875, -0.452392578125, -0.476806640625, -0.92724609375, -0.658203125, 0.1522216796875, 0.3798828125, -0.673828125, -0.060516357421875, -0.86083984375, 0.5390625, 0.232421875, -0.2467041015625, -0.0240325927734375, -0.247802734375, 0.5380859375, -0.01392364501953125, 0.787109375, -0.239990234375, -0.70166015625, 0.4072265625, -1.07421875, 0.60107421875, -0.58935546875, 0.68017578125, -0.1763916015625, -0.280029296875, -0.035888671875, 0.357421875, -0.447265625, 0.1893310546875, 0.06317138671875, 0.0858154296875, -0.9248046875, -0.59619140625, 0.359375, -0.47998046875, -0.131103515625, 0.46044921875, 0.22998046875, -0.07989501953125, 0.31982421875, 0.1563720703125, -0.284912109375, 0.433349609375, -0.765625, 0.92333984375, -0.462158203125, -0.591796875, -0.0653076171875, -0.432861328125, 0.55419921875, -0.2088623046875, -0.625, -0.4501953125, -1.232421875, -0.016326904296875, -0.22998046875, -0.322509765625, 0.515625, 0.427734375, -0.3359375, -0.02166748046875, -0.3701171875, -0.341552734375, -0.2039794921875, -0.84375, -0.50146484375, 0.0985107421875, -0.0284423828125, 0.85791015625, -0.0082855224609375, -0.38427734375, 0.02679443359375, 0.12188720703125, 0.00992584228515625, -0.52099609375, -0.2080078125, -0.0225677490234375, 0.15966796875, -0.5322265625, 0.260009765625, -0.156982421875, 0.72607421875, 1.162109375, -0.11529541015625, 0.209716796875, 0.243408203125, -0.333984375, 1.056640625, 0.079833984375, -0.904296875, -0.38037109375, 0.444580078125, 0.12225341796875, 0.720703125, 0.74853515625, -1.3076171875, -0.33349609375, -0.64892578125, 0.62109375, -0.70849609375, -0.14306640625, -1.3857421875, -0.35546875, -0.49267578125, 0.5859375, -0.05169677734375, -0.5732421875, 0.2841796875, -0.7900390625, 0.1357421875, -0.78369140625, -0.5205078125, -0.63818359375, -0.73193359375, 0.0732421875, 0.8828125, 0.353271484375, 0.52490234375, 0.03143310546875, -0.341552734375, 0.384765625, -0.31396484375, -0.779296875, -0.55078125, -0.4453125, 0.197265625, -0.2076416015625, -0.0069122314453125, -0.7705078125, 0.8251953125, -0.6474609375, 0.07781982421875, -0.32275390625, -0.164306640625, -0.283447265625, 0.025360107421875, 1.0107421875, -0.8779296875, 0.240234375, -0.369140625, 0.6640625, 0.55859375, -0.363037109375, 0.085205078125, -0.62451171875, -0.8701171875, -1.064453125, 0.59130859375, -0.32373046875, 0.201171875, -0.93896484375, 0.1885986328125, 0.79736328125, -0.69140625, 0.359619140625, 0.97998046875, 0.35693359375, 0.5693359375, -0.60107421875, 0.89208984375, 0.5703125, -0.2459716796875, 0.0028591156005859375, -0.09625244140625, -0.7021484375, 0.051605224609375, -0.1895751953125, -0.74169921875, -0.472412109375, 0.35205078125, 1.423828125, 0.01387786865234375, 0.7958984375, -0.08917236328125, -0.89208984375, -0.76220703125, 0.61279296875, 0.1220703125, 0.390380859375, 1.11328125, -0.256591796875, -0.12371826171875, 0.372314453125, 0.09063720703125, -0.208984375, -0.446533203125, 0.98974609375, -0.14013671875, -0.6318359375, 0.64794921875, 1.0439453125, -1.109375, -1.0546875, -0.32470703125, -0.133056640625, -0.74951171875, -0.544921875, 0.1519775390625, 0.79052734375, -0.9658203125, -0.11090087890625, 0.361328125, -0.243408203125, 0.6611328125, -0.1326904296875, 0.2802734375, -0.3544921875, 0.48291015625, 0.7412109375, -0.591796875, -0.08465576171875, -1.0634765625, -0.333251953125, -0.16796875, 0.342041015625, 0.77490234375, -0.61328125, -0.2100830078125, 0.4091796875, -0.0012340545654296875, 0.70361328125, 0.067626953125, -0.096923828125, 0.0726318359375, -0.904296875, -0.5185546875, 0.26416015625, 0.360107421875, -0.54345703125, 0.63623046875, -0.60693359375, 0.047821044921875, 0.6044921875, 0.59130859375, -0.449462890625, -0.8955078125, 0.168701171875, -1.0498046875, -0.5537109375, -0.77734375, -0.39990234375, -0.36669921875, 0.339111328125, -0.014404296875, -0.5712890625, 0.0016565322875976562, 0.316162109375, -0.56103515625, 0.66552734375, -0.2174072265625, 0.42138671875, -0.61767578125, -0.38720703125, -0.869140625, -0.227783203125, -0.373779296875, -0.38720703125, -0.359619140625, 0.7861328125, -0.160400390625, 0.3955078125, -0.0443115234375, 0.46728515625, -0.337890625, -1.0830078125, -0.145751953125, -0.173583984375, -0.1883544921875, 0.47900390625, 0.44189453125, 0.3623046875, 0.6279296875, -0.191650390625, -0.399658203125, -0.226318359375, 0.84326171875, 0.6142578125, -0.30712890625, -0.06707763671875, -0.439453125, 0.01140594482421875, -0.82763671875, 0.2401123046875, -0.60791015625, 0.276123046875, -0.053619384765625, -0.30224609375, 0.3115234375, 1.12890625, 0.042236328125, 0.19482421875, 0.05804443359375, 0.1810302734375, 0.71630859375, -0.351318359375, 0.27099609375, 0.433349609375, -0.275634765625, 0.1156005859375, -0.0966796875, 0.47705078125, 0.24658203125, 0.0887451171875, -0.275634765625, -0.476318359375, -0.8076171875, -0.416748046875, 0.290283203125, 0.52587890625, 0.017608642578125, -0.29345703125, 0.003131866455078125, 0.09625244140625, -0.26953125, 0.08544921875, -1.203125, -0.5546875, 0.6171875, -0.4970703125, -0.78857421875, -0.30322265625, -0.31494140625, -0.4111328125, 0.001300811767578125, 0.68115234375, -0.134521484375, 0.312255859375, 0.2144775390625, 0.3359375, -0.03350830078125, -0.308349609375, 0.409423828125, 0.55078125, -0.56640625, -0.3349609375, 0.358154296875, 0.990234375, 0.16943359375, -0.472412109375, -0.671875, 0.056915283203125, 0.1729736328125, 0.0150299072265625, -0.1650390625, 0.0211944580078125, -0.45556640625, 0.46923828125, -0.70068359375, 0.0261383056640625, -0.025115966796875, 0.5185546875, 0.282470703125, -0.63916015625, -0.71533203125, 1.1982421875, 0.446044921875, -0.5126953125, 0.406494140625, 0.3095703125, 0.386474609375, -0.30419921875, -0.11456298828125, -0.108642578125, 0.54345703125, 0.76806640625, 0.39697265625, 0.0245361328125, 0.235107421875, 0.6943359375, 0.3662109375, -0.1046142578125, -0.10858154296875, 0.2479248046875, -0.1436767578125, 0.468505859375, -0.339599609375, -0.5341796875, -0.1572265625, -0.54541015625, 0.1612548828125, -0.278564453125, 0.1318359375, -0.2464599609375, -0.429443359375, 0.63525390625, -0.57763671875, 0.244140625, 0.37109375, -0.62158203125, 0.2249755859375, 0.8232421875, -0.168212890625, -0.334716796875, 0.7431640625, 0.56396484375, 0.64990234375, 0.83935546875, 0.7197265625, 0.108642578125, -0.56201171875, 0.403564453125, 0.054107666015625, 0.174560546875, -0.179931640625, -0.681640625, -0.69384765625, -0.016265869140625, -0.29541015625, -0.1546630859375, 0.6279296875, -0.3916015625, 0.0185546875, -0.0188751220703125, 0.9912109375, -0.1116943359375, 0.326171875, 0.450927734375, -0.4931640625, -0.64990234375, 0.9306640625, -0.5048828125, 0.58740234375, -0.1927490234375, 1.0751953125, 0.0697021484375, 1.2568359375, 0.453857421875, -0.38818359375, 0.018402099609375, 0.481689453125, -0.2467041015625, -0.8681640625, -0.349365234375, -0.09674072265625, 0.4267578125, -0.262451171875, -0.411865234375, 0.061248779296875, 0.7939453125, 0.1787109375, -0.74365234375, -0.2337646484375, 0.0212554931640625, -0.75, 0.266845703125, 0.11505126953125, -0.0179443359375, 0.032196044921875, -0.0938720703125, 0.397705078125, -1.01171875, -0.036041259765625, -0.44873046875, 0.529296875, -0.50732421875, -0.2724609375, -1.1142578125, -0.7705078125, -0.1475830078125, 0.061614990234375, -0.34619140625, -0.97216796875, 0.60986328125, 0.5048828125, 0.5234375, 0.5, -0.07440185546875, 0.266357421875, 1.0615234375, 0.91552734375, -0.03814697265625, 0.50341796875, 0.2117919921875, -0.2266845703125, 0.1907958984375, -0.55224609375, 0.3095703125, 0.11981201171875, 0.0699462890625, -0.255615234375, -0.12408447265625, -0.67724609375, -1.064453125, 0.18359375, 0.91943359375, 0.509765625, -0.475830078125, -0.73388671875, -0.33447265625, -1.095703125, -0.09747314453125, -0.64453125, 0.57177734375, 0.06231689453125, -0.183349609375, 0.204345703125, -0.99755859375, 4.39453125, 1.1142578125, 1.189453125, 0.338623046875, 0.067626953125, 1.0888671875, 0.45458984375, -0.1922607421875, -0.202880859375, -0.332275390625, 0.517578125, -0.299560546875, 0.294921875, 0.99658203125, 0.2254638671875, 0.269775390625, -0.61083984375, 0.0240020751953125, -0.1439208984375, -1.0419921875, -0.68701171875, 0.2093505859375, -0.126953125, 0.802734375, -0.4091796875, 0.27001953125, 0.1224365234375, -0.7939453125, 0.1192626953125, -0.468017578125, -0.150146484375, -0.352294921875, 0.81884765625, -0.251708984375, 0.011444091796875, 0.46484375, 0.027557373046875, -0.5537109375, -0.20458984375, 0.06854248046875, 0.2109375, 0.30712890625, 0.1632080078125, -0.84130859375, 0.254638671875, 0.37890625, -0.603515625, 0.41943359375, 0.400146484375, -0.8935546875, 0.99658203125, -0.451416015625, 0.40234375, -0.8681640625, -0.58447265625, 0.253662109375, 0.0166778564453125, -0.22314453125, -0.38720703125, 0.65478515625, 0.493896484375, 0.2115478515625, 0.1492919921875, 0.058197021484375, -0.79345703125, 1, -0.56640625, 0.64208984375, -0.7265625, -0.417236328125, -0.3134765625, -0.49169921875, 0.01311492919921875, -0.69287109375, 0.68994140625, -0.122802734375, -0.355224609375, 0.54638671875, 0.255859375, -0.89111328125, 0.1209716796875, -0.1820068359375, -0.623046875, -0.48583984375, 0.340576171875, 0.876953125, -0.420654296875, -0.197509765625, 0.080078125, 0.6337890625, 0.6533203125, 0.359130859375, 0.053466796875, -0.58642578125, -0.32666015625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Tags: *special, binary search, brute force, data structures, strings Correct Solution: ``` n = int(input()) t = input() l = len(t) m = int(input()) q = {c: [] for c in 'abcdefghijklmnopqrstuvwxyz'} for j, c in enumerate(t): q[c].append(j) q = {c: [i + j for i in range(0, n * l, l) for j in q[c]] for c in q} t = n * list(t) for i in range(m): j, c = input().split() t[q[c].pop(int(j) - 1)] = '' print(''.join(t)) # Made By Mostafa_Khaled ```
7,818
[ 0.10052490234375, -0.210693359375, 0.2474365234375, 0.3515625, -0.2232666015625, -0.52880859375, -0.489013671875, -0.515625, 0.359619140625, 0.6630859375, 1.2529296875, -0.3330078125, 0.06805419921875, -0.91796875, -0.74072265625, 0.018310546875, -0.63037109375, -0.66650390625, -0.53955078125, -0.28076171875, 0.19873046875, -0.1409912109375, -1.216796875, -0.302978515625, -0.388916015625, 0.94140625, 0.173583984375, -0.3681640625, 0.9970703125, 1.17578125, -0.424560546875, -0.533203125, 0.875, -0.810546875, -0.35400390625, -0.279541015625, 0.378662109375, -0.58056640625, -0.560546875, -0.18896484375, 0.145263671875, -0.57568359375, 0.350830078125, -0.6259765625, -1.2080078125, 0.0699462890625, -0.7177734375, -0.226318359375, -0.60986328125, -0.68017578125, -0.033843994140625, -0.1939697265625, 0.93798828125, -0.0306854248046875, -0.1922607421875, -0.3232421875, -0.031707763671875, -0.437744140625, -0.48779296875, 0.345947265625, -0.08123779296875, 0.241943359375, -0.1749267578125, -0.31103515625, 0.06378173828125, 0.02520751953125, -0.09442138671875, -0.11163330078125, 0.1273193359375, -0.7392578125, -0.09600830078125, 0.348876953125, -0.369140625, -0.58251953125, -0.2257080078125, -0.2459716796875, 0.135009765625, -0.2410888671875, -0.669921875, 0.66015625, -0.09527587890625, 0.6923828125, 0.060302734375, 0.23779296875, -0.54052734375, -0.399658203125, 0.2205810546875, 0.299072265625, -0.0162353515625, -0.0858154296875, 0.00701141357421875, 0.65625, -0.376953125, -0.287841796875, 0.64453125, 0.81884765625, -0.401611328125, 0.2462158203125, 0.17822265625, 0.0770263671875, 1.0185546875, 0.66845703125, -0.14404296875, 1.1142578125, -0.407958984375, 0.1368408203125, 0.080078125, 0.2705078125, -0.366943359375, -0.55224609375, -0.016387939453125, -0.25390625, 0.67431640625, 0.2105712890625, -0.1051025390625, 0.85791015625, -0.09051513671875, 0.277587890625, -0.55517578125, 0.0084686279296875, 0.3720703125, -0.1038818359375, 0.387939453125, -0.71826171875, 0.21142578125, -0.6328125, -0.8740234375, 1.1767578125, -0.385986328125, 0.191650390625, 0.2568359375, 0.01904296875, -0.3974609375, 0.00485992431640625, -0.10662841796875, 1.048828125, -0.1119384765625, 0.73876953125, 0.463623046875, -0.73876953125, 0.57275390625, 0.2119140625, -0.0767822265625, 1.2705078125, 0.689453125, 0.56396484375, 0.62939453125, 0.5048828125, -0.634765625, 0.16796875, -0.85107421875, 0.53466796875, 0.48486328125, 0.1378173828125, -0.124755859375, 0.361083984375, -0.5595703125, 0.638671875, 0.02850341796875, 0.297119140625, -0.401123046875, 0.298095703125, -0.03948974609375, 0.69873046875, -0.05194091796875, 1.1953125, -0.65087890625, -0.7685546875, -0.08050537109375, -0.85205078125, 0.399658203125, -0.2900390625, -0.10736083984375, 0.79345703125, 0.64599609375, 0.86572265625, 0.38818359375, -0.065185546875, 0.09014892578125, -0.10888671875, -0.406005859375, 0.55615234375, 0.53466796875, 0.5244140625, 0.049560546875, 0.196533203125, -0.0208282470703125, -0.365234375, -0.75927734375, -0.6748046875, 0.14111328125, 0.62841796875, -0.263916015625, 0.060028076171875, 0.34716796875, -0.1900634765625, -0.951171875, -0.09539794921875, 0.59814453125, -1.2275390625, 0.150390625, 0.669921875, -0.233154296875, 0.55029296875, -0.28076171875, -0.4443359375, 0.72802734375, 1.1064453125, 0.07415771484375, 0.07861328125, 0.6474609375, -0.13818359375, -0.197265625, -0.1220703125, 0.079833984375, -0.35693359375, -0.290771484375, 0.7919921875, -0.4111328125, -0.2479248046875, -0.066162109375, 0.75634765625, 0.2174072265625, 0.52490234375, -0.30615234375, 0.1741943359375, 0.32568359375, 1.22265625, -0.1964111328125, 0.1593017578125, 0.1929931640625, 0.54833984375, 0.382568359375, 0.58837890625, 0.400146484375, 0.019439697265625, 0.75634765625, 1.189453125, -0.228759765625, 0.2236328125, 0.3486328125, 0.53955078125, 0.7412109375, 0.248046875, -0.003490447998046875, 0.55126953125, 0.1568603515625, 0.2254638671875, -0.29150390625, 0.2763671875, -0.67431640625, 0.321044921875, 0.18798828125, -0.0258331298828125, -0.58544921875, -0.284912109375, 0.395751953125, 0.5107421875, -0.7705078125, -0.198974609375, -0.72265625, 0.316162109375, 0.728515625, -0.0124664306640625, 0.1719970703125, 0.445556640625, 0.53466796875, 0.60009765625, -0.1363525390625, -0.27978515625, -0.78466796875, -1.0537109375, -0.75830078125, -0.7978515625, -0.70068359375, -0.130615234375, -0.06500244140625, -1.056640625, 0.4072265625, -0.32568359375, -0.232666015625, 0.414794921875, -0.432373046875, 0.8017578125, -0.2342529296875, 0.73974609375, -0.8330078125, 0.68505859375, -0.007747650146484375, 0.81787109375, -0.263427734375, 0.1759033203125, 0.085205078125, -0.78955078125, -0.03961181640625, -0.017242431640625, 0.86865234375, -0.1165771484375, -0.81201171875, -1.07421875, -0.44384765625, 0.308349609375, -0.5888671875, 0.4208984375, -0.6181640625, 0.74560546875, 0.388916015625, -0.230224609375, 0.78515625, 0.56103515625, -0.72216796875, 0.44384765625, 0.1646728515625, -0.060699462890625, -0.89794921875, 1.060546875, 0.52783203125, 0.76904296875, -0.60400390625, -0.65966796875, -0.55615234375, 0.06658935546875, 0.4501953125, -0.36181640625, -0.47412109375, 0.30908203125, 0.23095703125, -1.146484375, 0.57568359375, -0.92578125, -0.4833984375, -0.303466796875, -0.478271484375, 0.8330078125, 1.306640625, -0.312255859375, -0.317626953125, 0.06329345703125, -0.256591796875, 0.921875, 0.58935546875, -0.560546875, 0.09320068359375, 0.45361328125, -0.17138671875, -0.219970703125, 0.1383056640625, -0.51123046875, -0.38232421875, -0.08642578125, 0.1832275390625, 0.333251953125, 0.2098388671875, 0.444580078125, 0.5146484375, 0.60546875, -0.9345703125, -0.50634765625, -0.083251953125, 0.7451171875, 0.52685546875, 0.517578125, 0.2078857421875, -0.4208984375, -0.37060546875, -0.53857421875, -0.138427734375, 0.71875, 0.7216796875, -0.71484375, 0.47119140625, 0.6572265625, -0.8232421875, 0.693359375, -0.6083984375, 0.3251953125, 1.2197265625, -0.470947265625, 0.748046875, -0.45556640625, 0.1661376953125, 0.003871917724609375, -0.06329345703125, 0.215087890625, 0.3017578125, 0.1771240234375, -0.5869140625, -0.402587890625, -0.283935546875, -0.436279296875, 0.2705078125, -0.31201171875, -0.447998046875, -0.286376953125, -0.37744140625, -0.61181640625, 0.556640625, 0.80126953125, 0.7353515625, -0.07958984375, 0.5888671875, 0.55224609375, 0.231201171875, 0.64306640625, -0.424072265625, 0.193359375, -0.74560546875, 1.0498046875, 0.219970703125, -0.370361328125, -0.31103515625, 0.06842041015625, 0.134033203125, -0.0318603515625, 0.04583740234375, -0.150634765625, -1.10546875, -0.035491943359375, -0.2117919921875, 0.9013671875, -0.53857421875, -0.3330078125, -0.71142578125, 0.6650390625, 0.042327880859375, -0.81298828125, 0.42724609375, -0.9697265625, 0.85888671875, 0.6865234375, -0.11370849609375, -0.474365234375, -0.49169921875, -0.93603515625, -0.6552734375, 0.22216796875, 0.339599609375, -0.69775390625, -0.09393310546875, -0.85693359375, 0.5322265625, 0.2437744140625, -0.19482421875, -0.034759521484375, -0.230224609375, 0.52392578125, -0.018585205078125, 0.74658203125, -0.2218017578125, -0.69580078125, 0.39990234375, -1.0693359375, 0.62646484375, -0.61181640625, 0.6591796875, -0.1881103515625, -0.293701171875, -0.051544189453125, 0.34765625, -0.438720703125, 0.1951904296875, 0.07708740234375, 0.054290771484375, -0.8955078125, -0.59814453125, 0.350341796875, -0.463623046875, -0.1331787109375, 0.43017578125, 0.27001953125, -0.0667724609375, 0.34716796875, 0.17431640625, -0.256103515625, 0.45947265625, -0.7841796875, 0.92578125, -0.487548828125, -0.56103515625, -0.08416748046875, -0.395263671875, 0.54736328125, -0.197998046875, -0.64208984375, -0.468017578125, -1.240234375, -0.02337646484375, -0.182373046875, -0.33447265625, 0.51171875, 0.42724609375, -0.305908203125, -0.00287628173828125, -0.345703125, -0.343017578125, -0.2032470703125, -0.82861328125, -0.476806640625, 0.14990234375, -0.03204345703125, 0.84375, -0.0285797119140625, -0.40869140625, 0.04217529296875, 0.12158203125, -0.014739990234375, -0.491943359375, -0.2288818359375, -0.006732940673828125, 0.19140625, -0.544921875, 0.286376953125, -0.1356201171875, 0.7119140625, 1.1845703125, -0.111328125, 0.236572265625, 0.2001953125, -0.302001953125, 1.0380859375, 0.076171875, -0.94189453125, -0.342041015625, 0.449462890625, 0.1019287109375, 0.70068359375, 0.7080078125, -1.3203125, -0.357666015625, -0.6396484375, 0.64208984375, -0.73291015625, -0.11920166015625, -1.390625, -0.33544921875, -0.47998046875, 0.5986328125, -0.0845947265625, -0.6044921875, 0.263427734375, -0.78369140625, 0.129638671875, -0.77685546875, -0.49169921875, -0.6259765625, -0.75732421875, 0.0506591796875, 0.86181640625, 0.343994140625, 0.52099609375, 0.06829833984375, -0.34619140625, 0.393310546875, -0.302734375, -0.81787109375, -0.52783203125, -0.393798828125, 0.1746826171875, -0.1689453125, 0.00836944580078125, -0.7548828125, 0.79833984375, -0.6953125, 0.0972900390625, -0.32568359375, -0.1875, -0.264892578125, 0.017913818359375, 1.013671875, -0.8916015625, 0.2188720703125, -0.405029296875, 0.6494140625, 0.5595703125, -0.359130859375, 0.09271240234375, -0.5751953125, -0.83984375, -1.0537109375, 0.6162109375, -0.329345703125, 0.235595703125, -0.9306640625, 0.220458984375, 0.82470703125, -0.68701171875, 0.352783203125, 0.99755859375, 0.40966796875, 0.58544921875, -0.61328125, 0.92333984375, 0.58154296875, -0.217529296875, -0.011749267578125, -0.07391357421875, -0.69140625, 0.0216064453125, -0.210205078125, -0.740234375, -0.44775390625, 0.338134765625, 1.4228515625, 0.03009033203125, 0.78466796875, -0.083251953125, -0.89501953125, -0.74755859375, 0.63427734375, 0.117919921875, 0.37890625, 1.107421875, -0.2705078125, -0.112060546875, 0.37548828125, 0.10211181640625, -0.232177734375, -0.43310546875, 0.98388671875, -0.15673828125, -0.62353515625, 0.63671875, 1.044921875, -1.0947265625, -1.0654296875, -0.34375, -0.1259765625, -0.724609375, -0.55810546875, 0.135009765625, 0.80029296875, -0.95751953125, -0.15185546875, 0.40185546875, -0.2705078125, 0.61767578125, -0.128173828125, 0.267333984375, -0.343505859375, 0.53759765625, 0.76025390625, -0.5947265625, -0.072021484375, -1.046875, -0.32275390625, -0.1561279296875, 0.36181640625, 0.77392578125, -0.638671875, -0.2271728515625, 0.425537109375, 0.003429412841796875, 0.716796875, 0.09033203125, -0.088623046875, 0.07958984375, -0.8974609375, -0.50146484375, 0.28125, 0.375, -0.56103515625, 0.6484375, -0.62255859375, 0.05767822265625, 0.63037109375, 0.58203125, -0.448486328125, -0.93115234375, 0.15234375, -1.0849609375, -0.52490234375, -0.81005859375, -0.360107421875, -0.35009765625, 0.346435546875, -0.026123046875, -0.580078125, 0.0189666748046875, 0.28173828125, -0.54052734375, 0.64892578125, -0.220458984375, 0.424560546875, -0.61181640625, -0.377197265625, -0.87939453125, -0.287841796875, -0.385498046875, -0.3857421875, -0.344970703125, 0.77294921875, -0.1390380859375, 0.409912109375, -0.0831298828125, 0.451416015625, -0.326904296875, -1.060546875, -0.19775390625, -0.1700439453125, -0.1531982421875, 0.462158203125, 0.46240234375, 0.352783203125, 0.59814453125, -0.1856689453125, -0.42041015625, -0.22216796875, 0.83935546875, 0.615234375, -0.34375, -0.08734130859375, -0.458740234375, 0.06378173828125, -0.8134765625, 0.2183837890625, -0.619140625, 0.325927734375, 0.00955963134765625, -0.283447265625, 0.283203125, 1.142578125, 0.0802001953125, 0.2208251953125, 0.082763671875, 0.1826171875, 0.6943359375, -0.384521484375, 0.268798828125, 0.411865234375, -0.265380859375, 0.0853271484375, -0.061798095703125, 0.4697265625, 0.231689453125, 0.1280517578125, -0.26904296875, -0.490478515625, -0.81640625, -0.416259765625, 0.2939453125, 0.54150390625, -0.0056915283203125, -0.275146484375, 0.0016355514526367188, 0.050689697265625, -0.287109375, 0.06976318359375, -1.2138671875, -0.583984375, 0.6328125, -0.51318359375, -0.7529296875, -0.279296875, -0.310302734375, -0.391357421875, -0.007007598876953125, 0.68310546875, -0.126708984375, 0.326416015625, 0.2166748046875, 0.334228515625, -0.044342041015625, -0.300048828125, 0.397705078125, 0.54541015625, -0.59619140625, -0.3017578125, 0.381103515625, 1.0185546875, 0.1727294921875, -0.489501953125, -0.6943359375, 0.0509033203125, 0.180419921875, 0.019775390625, -0.197509765625, -0.018524169921875, -0.44482421875, 0.475341796875, -0.7216796875, 0.06365966796875, -0.0236053466796875, 0.52197265625, 0.28369140625, -0.61865234375, -0.7314453125, 1.2275390625, 0.423095703125, -0.5078125, 0.400146484375, 0.33056640625, 0.370849609375, -0.2900390625, -0.0946044921875, -0.14111328125, 0.52490234375, 0.77685546875, 0.40673828125, 0.039642333984375, 0.2060546875, 0.71240234375, 0.38671875, -0.06597900390625, -0.1375732421875, 0.2308349609375, -0.1519775390625, 0.46875, -0.363525390625, -0.5546875, -0.1103515625, -0.482421875, 0.137939453125, -0.28662109375, 0.1263427734375, -0.242431640625, -0.38525390625, 0.6484375, -0.59814453125, 0.225341796875, 0.365966796875, -0.6005859375, 0.2440185546875, 0.79736328125, -0.158203125, -0.361083984375, 0.7392578125, 0.5283203125, 0.638671875, 0.84375, 0.734375, 0.1263427734375, -0.5322265625, 0.437255859375, 0.029296875, 0.1810302734375, -0.230224609375, -0.69189453125, -0.68017578125, -0.02056884765625, -0.268798828125, -0.15478515625, 0.6015625, -0.359619140625, 0.0095062255859375, -0.021026611328125, 1.009765625, -0.10638427734375, 0.323974609375, 0.427001953125, -0.5244140625, -0.6748046875, 0.9423828125, -0.5068359375, 0.57373046875, -0.2059326171875, 1.095703125, 0.07720947265625, 1.2412109375, 0.46533203125, -0.3984375, -0.00527191162109375, 0.4658203125, -0.255859375, -0.82958984375, -0.355224609375, -0.050201416015625, 0.476318359375, -0.261962890625, -0.432861328125, 0.07366943359375, 0.7861328125, 0.2081298828125, -0.73095703125, -0.23974609375, 0.06109619140625, -0.716796875, 0.24072265625, 0.11273193359375, 0.0020999908447265625, 0.02178955078125, -0.0794677734375, 0.372314453125, -1.0322265625, -0.0633544921875, -0.4541015625, 0.556640625, -0.49169921875, -0.2476806640625, -1.1376953125, -0.74658203125, -0.1741943359375, 0.0278778076171875, -0.31298828125, -0.9677734375, 0.61328125, 0.479248046875, 0.54150390625, 0.5185546875, -0.08917236328125, 0.24169921875, 1.0537109375, 0.890625, -0.07177734375, 0.491943359375, 0.2369384765625, -0.2177734375, 0.174072265625, -0.5498046875, 0.31494140625, 0.1424560546875, 0.035980224609375, -0.278076171875, -0.126953125, -0.701171875, -1.05859375, 0.2071533203125, 0.90380859375, 0.5615234375, -0.47802734375, -0.73779296875, -0.3466796875, -1.0849609375, -0.08673095703125, -0.64892578125, 0.54833984375, 0.056396484375, -0.1480712890625, 0.197509765625, -0.994140625, 4.3984375, 1.1396484375, 1.1953125, 0.34716796875, 0.055633544921875, 1.056640625, 0.4736328125, -0.20703125, -0.20556640625, -0.3564453125, 0.533203125, -0.285888671875, 0.30810546875, 0.96875, 0.232421875, 0.2646484375, -0.67578125, 0.0197296142578125, -0.1368408203125, -1.0439453125, -0.6669921875, 0.1708984375, -0.14453125, 0.810546875, -0.4072265625, 0.271728515625, 0.1297607421875, -0.75390625, 0.119873046875, -0.462646484375, -0.17431640625, -0.341064453125, 0.748046875, -0.229248046875, -0.028167724609375, 0.44921875, 0.00887298583984375, -0.53076171875, -0.2607421875, 0.056854248046875, 0.255126953125, 0.337890625, 0.1270751953125, -0.8359375, 0.226318359375, 0.400146484375, -0.572265625, 0.40673828125, 0.414306640625, -0.9267578125, 1.029296875, -0.453369140625, 0.390380859375, -0.91064453125, -0.57861328125, 0.283935546875, 0.025482177734375, -0.2147216796875, -0.396240234375, 0.67431640625, 0.484619140625, 0.21044921875, 0.1644287109375, 0.0604248046875, -0.7919921875, 1.0009765625, -0.59716796875, 0.59228515625, -0.71533203125, -0.38720703125, -0.301513671875, -0.486328125, 0.0080718994140625, -0.689453125, 0.69287109375, -0.16455078125, -0.355224609375, 0.59228515625, 0.25244140625, -0.86962890625, 0.0992431640625, -0.189208984375, -0.654296875, -0.5263671875, 0.332763671875, 0.88134765625, -0.40869140625, -0.2259521484375, 0.097900390625, 0.62060546875, 0.623046875, 0.36572265625, 0.08551025390625, -0.5810546875, -0.33251953125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Tags: *special, binary search, brute force, data structures, strings Correct Solution: ``` from collections import defaultdict k = int(input()) s = list(input() * k) p = defaultdict(list) for i in range(len(s)): p[(s[i])].append(i) for _ in range(int(input())): x, c = input().split() x = int(x) s[p[(c)].pop(int(x) - 1)] = "" print("".join(s)) ```
7,819
[ 0.07452392578125, -0.2447509765625, 0.2471923828125, 0.337158203125, -0.1973876953125, -0.475341796875, -0.489501953125, -0.5087890625, 0.340087890625, 0.66455078125, 1.2021484375, -0.463134765625, 0.04705810546875, -0.90625, -0.74462890625, 0.0108184814453125, -0.677734375, -0.68994140625, -0.50439453125, -0.25146484375, 0.234130859375, -0.10882568359375, -1.18359375, -0.2366943359375, -0.3427734375, 0.88671875, 0.21826171875, -0.346435546875, 1.0390625, 1.1513671875, -0.3359375, -0.50048828125, 0.921875, -0.794921875, -0.38525390625, -0.275634765625, 0.422119140625, -0.62158203125, -0.5771484375, -0.20703125, 0.199951171875, -0.568359375, 0.333984375, -0.64501953125, -1.11328125, 0.1160888671875, -0.71337890625, -0.2265625, -0.56494140625, -0.73974609375, -0.0975341796875, -0.16650390625, 0.93017578125, -0.06427001953125, -0.2188720703125, -0.30517578125, -0.034759521484375, -0.3896484375, -0.50341796875, 0.34521484375, -0.0546875, 0.337890625, -0.21044921875, -0.3525390625, 0.0994873046875, 0.047698974609375, -0.08306884765625, -0.10552978515625, 0.07440185546875, -0.72607421875, -0.1322021484375, 0.3427734375, -0.3671875, -0.6259765625, -0.2025146484375, -0.2010498046875, 0.145751953125, -0.26611328125, -0.56005859375, 0.6611328125, -0.062255859375, 0.73291015625, 0.029327392578125, 0.253173828125, -0.55712890625, -0.38818359375, 0.2359619140625, 0.28564453125, -0.07183837890625, -0.10162353515625, -0.0183258056640625, 0.67041015625, -0.35107421875, -0.296142578125, 0.65087890625, 0.84716796875, -0.39697265625, 0.254638671875, 0.2152099609375, 0.036651611328125, 0.9873046875, 0.74072265625, -0.142822265625, 1.126953125, -0.370361328125, 0.1778564453125, 0.08905029296875, 0.1741943359375, -0.380126953125, -0.52978515625, -0.03338623046875, -0.2491455078125, 0.65087890625, 0.2010498046875, -0.1395263671875, 0.9248046875, -0.11419677734375, 0.29296875, -0.583984375, -0.00984954833984375, 0.31787109375, 0.012481689453125, 0.380859375, -0.7626953125, 0.1629638671875, -0.662109375, -0.87646484375, 1.1591796875, -0.455810546875, 0.142822265625, 0.260498046875, -0.023162841796875, -0.3984375, 0.03399658203125, -0.1397705078125, 1.0048828125, -0.10223388671875, 0.7978515625, 0.5029296875, -0.78173828125, 0.58154296875, 0.2396240234375, -0.06927490234375, 1.2578125, 0.60595703125, 0.630859375, 0.61962890625, 0.5048828125, -0.58251953125, 0.1800537109375, -0.8486328125, 0.51953125, 0.4921875, 0.151611328125, -0.10260009765625, 0.337890625, -0.50146484375, 0.65576171875, -0.0011415481567382812, 0.23779296875, -0.396240234375, 0.28369140625, -0.08367919921875, 0.71240234375, -0.061737060546875, 1.1689453125, -0.65576171875, -0.78173828125, -0.139404296875, -0.8134765625, 0.36279296875, -0.3388671875, -0.07135009765625, 0.763671875, 0.59375, 0.8759765625, 0.403076171875, -0.08062744140625, 0.09735107421875, -0.12384033203125, -0.366455078125, 0.46435546875, 0.53369140625, 0.53564453125, 0.0101318359375, 0.151611328125, -0.0288848876953125, -0.380126953125, -0.7392578125, -0.66748046875, 0.08685302734375, 0.60546875, -0.25732421875, 0.04522705078125, 0.351806640625, -0.1373291015625, -0.94677734375, -0.094482421875, 0.638671875, -1.1943359375, 0.177490234375, 0.64453125, -0.27294921875, 0.52685546875, -0.261474609375, -0.41552734375, 0.78125, 1.052734375, 0.06854248046875, 0.07037353515625, 0.6640625, -0.12384033203125, -0.255615234375, -0.16455078125, 0.10064697265625, -0.31884765625, -0.33154296875, 0.787109375, -0.423583984375, -0.2783203125, -0.10064697265625, 0.76416015625, 0.217529296875, 0.48095703125, -0.272216796875, 0.2196044921875, 0.297119140625, 1.2275390625, -0.1884765625, 0.1695556640625, 0.20556640625, 0.4736328125, 0.357177734375, 0.6318359375, 0.427734375, 0.037933349609375, 0.796875, 1.18359375, -0.2083740234375, 0.25390625, 0.28759765625, 0.59423828125, 0.74462890625, 0.24755859375, -0.00788116455078125, 0.46044921875, 0.1494140625, 0.2386474609375, -0.28955078125, 0.32275390625, -0.7109375, 0.357177734375, 0.145751953125, -0.03729248046875, -0.5341796875, -0.272705078125, 0.3779296875, 0.5107421875, -0.80810546875, -0.1500244140625, -0.67822265625, 0.34423828125, 0.76025390625, -0.00201416015625, 0.151123046875, 0.495849609375, 0.487548828125, 0.662109375, -0.1131591796875, -0.300048828125, -0.7724609375, -1.0859375, -0.73828125, -0.771484375, -0.63916015625, -0.09820556640625, -0.04022216796875, -1.0244140625, 0.37451171875, -0.366943359375, -0.2030029296875, 0.421875, -0.357421875, 0.78564453125, -0.2215576171875, 0.68701171875, -0.8544921875, 0.70751953125, 0.002193450927734375, 0.8359375, -0.290283203125, 0.1954345703125, 0.0997314453125, -0.83544921875, -0.0016984939575195312, 0.0267181396484375, 0.88037109375, -0.1087646484375, -0.8203125, -1.0244140625, -0.447509765625, 0.3701171875, -0.488037109375, 0.36767578125, -0.6240234375, 0.76220703125, 0.462890625, -0.1749267578125, 0.802734375, 0.50244140625, -0.7744140625, 0.412109375, 0.16064453125, -0.055145263671875, -0.93896484375, 1.001953125, 0.52001953125, 0.7998046875, -0.6357421875, -0.64013671875, -0.6142578125, 0.01104736328125, 0.410400390625, -0.351806640625, -0.430908203125, 0.293212890625, 0.25146484375, -1.119140625, 0.564453125, -0.861328125, -0.57177734375, -0.337158203125, -0.466552734375, 0.8369140625, 1.30859375, -0.3095703125, -0.302734375, 0.08172607421875, -0.2349853515625, 0.986328125, 0.6025390625, -0.541015625, 0.08612060546875, 0.452880859375, -0.12298583984375, -0.223388671875, 0.1285400390625, -0.49560546875, -0.39501953125, -0.056121826171875, 0.1529541015625, 0.329833984375, 0.1929931640625, 0.509765625, 0.52392578125, 0.60302734375, -0.96435546875, -0.4580078125, -0.0036678314208984375, 0.77392578125, 0.4853515625, 0.51953125, 0.16845703125, -0.468994140625, -0.39013671875, -0.58056640625, -0.169189453125, 0.76513671875, 0.71337890625, -0.763671875, 0.52685546875, 0.6142578125, -0.7880859375, 0.6962890625, -0.60888671875, 0.37548828125, 1.205078125, -0.44580078125, 0.8359375, -0.4501953125, 0.2369384765625, -0.0391845703125, -0.045196533203125, 0.2393798828125, 0.296630859375, 0.11767578125, -0.58544921875, -0.330078125, -0.3115234375, -0.407958984375, 0.269775390625, -0.248291015625, -0.39404296875, -0.299560546875, -0.48095703125, -0.62841796875, 0.513671875, 0.78955078125, 0.71142578125, -0.041656494140625, 0.5234375, 0.5126953125, 0.21923828125, 0.66259765625, -0.427490234375, 0.19580078125, -0.7509765625, 1.048828125, 0.1575927734375, -0.39697265625, -0.29833984375, 0.0999755859375, 0.14404296875, 0.036590576171875, -0.054718017578125, -0.1007080078125, -1.154296875, 0.042449951171875, -0.1800537109375, 0.93994140625, -0.54052734375, -0.36083984375, -0.61572265625, 0.6787109375, -0.0298919677734375, -0.7919921875, 0.4755859375, -0.9404296875, 0.8388671875, 0.63427734375, -0.09039306640625, -0.489013671875, -0.499755859375, -0.89892578125, -0.6494140625, 0.2452392578125, 0.342529296875, -0.72509765625, -0.00331878662109375, -0.8876953125, 0.483154296875, 0.2457275390625, -0.1728515625, -0.0286865234375, -0.1954345703125, 0.5439453125, -0.0341796875, 0.76953125, -0.1793212890625, -0.69970703125, 0.455078125, -1.013671875, 0.62548828125, -0.6259765625, 0.6142578125, -0.15185546875, -0.2294921875, -0.08380126953125, 0.3857421875, -0.445556640625, 0.18115234375, 0.06060791015625, 0.062744140625, -0.9140625, -0.6064453125, 0.3564453125, -0.513671875, -0.132568359375, 0.3720703125, 0.27783203125, -0.048614501953125, 0.30810546875, 0.1229248046875, -0.269287109375, 0.453369140625, -0.76220703125, 0.9794921875, -0.533203125, -0.51220703125, -0.09857177734375, -0.3818359375, 0.55419921875, -0.164794921875, -0.60205078125, -0.488037109375, -1.228515625, -0.004131317138671875, -0.16552734375, -0.320556640625, 0.5498046875, 0.4267578125, -0.3271484375, -0.10064697265625, -0.346435546875, -0.377685546875, -0.23291015625, -0.75732421875, -0.53515625, 0.1097412109375, -0.042144775390625, 0.873046875, -0.057403564453125, -0.436767578125, 0.0732421875, 0.1822509765625, -0.0413818359375, -0.53125, -0.1781005859375, -0.0170135498046875, 0.1810302734375, -0.54296875, 0.215576171875, -0.088623046875, 0.73193359375, 1.1572265625, -0.126220703125, 0.242431640625, 0.236083984375, -0.2998046875, 1.021484375, 0.08251953125, -0.8974609375, -0.31103515625, 0.53125, -0.0036449432373046875, 0.708984375, 0.734375, -1.2001953125, -0.332275390625, -0.6435546875, 0.64501953125, -0.73486328125, -0.1612548828125, -1.33203125, -0.31884765625, -0.45166015625, 0.5859375, -0.058685302734375, -0.67236328125, 0.25341796875, -0.76611328125, 0.0682373046875, -0.80517578125, -0.5146484375, -0.61572265625, -0.72802734375, 0.069091796875, 0.8671875, 0.3330078125, 0.525390625, 0.03955078125, -0.32275390625, 0.305908203125, -0.2529296875, -0.81494140625, -0.5029296875, -0.396728515625, 0.1519775390625, -0.17724609375, 0.028656005859375, -0.765625, 0.79296875, -0.7060546875, 0.1007080078125, -0.371337890625, -0.1485595703125, -0.28173828125, 0.050537109375, 1.0302734375, -0.79296875, 0.279052734375, -0.345458984375, 0.65087890625, 0.49462890625, -0.392333984375, 0.08416748046875, -0.6103515625, -0.85107421875, -1.0439453125, 0.62939453125, -0.3798828125, 0.197021484375, -0.935546875, 0.1705322265625, 0.7568359375, -0.74169921875, 0.310302734375, 0.94287109375, 0.371337890625, 0.55322265625, -0.5908203125, 0.931640625, 0.58447265625, -0.255859375, 0.0174102783203125, -0.10882568359375, -0.67138671875, 0.0200653076171875, -0.1658935546875, -0.70068359375, -0.497802734375, 0.28466796875, 1.4306640625, 0.0347900390625, 0.791015625, -0.00994873046875, -0.845703125, -0.73974609375, 0.59814453125, 0.1536865234375, 0.42236328125, 1.0341796875, -0.257568359375, -0.12939453125, 0.3330078125, 0.1319580078125, -0.2174072265625, -0.4677734375, 0.9921875, -0.1781005859375, -0.6240234375, 0.63525390625, 1.041015625, -1.1162109375, -1.0361328125, -0.310791015625, -0.10675048828125, -0.71630859375, -0.5546875, 0.1553955078125, 0.77978515625, -0.99951171875, -0.1492919921875, 0.378173828125, -0.2548828125, 0.60107421875, -0.1337890625, 0.2802734375, -0.346923828125, 0.5048828125, 0.74267578125, -0.609375, -0.134521484375, -1.0224609375, -0.2440185546875, -0.166015625, 0.33349609375, 0.75244140625, -0.673828125, -0.1524658203125, 0.3974609375, -0.00928497314453125, 0.72900390625, 0.08575439453125, -0.1021728515625, 0.05487060546875, -0.95947265625, -0.472412109375, 0.2384033203125, 0.3974609375, -0.5751953125, 0.62353515625, -0.63525390625, 0.1019287109375, 0.68212890625, 0.580078125, -0.470947265625, -0.935546875, 0.144287109375, -1.1123046875, -0.5400390625, -0.8125, -0.345458984375, -0.368896484375, 0.363525390625, -0.008148193359375, -0.583984375, -0.0213775634765625, 0.331787109375, -0.57080078125, 0.6767578125, -0.282470703125, 0.414306640625, -0.634765625, -0.40478515625, -0.89990234375, -0.3271484375, -0.314697265625, -0.3720703125, -0.384033203125, 0.83251953125, -0.175048828125, 0.43701171875, -0.056671142578125, 0.470703125, -0.408203125, -1.06640625, -0.1810302734375, -0.116455078125, -0.14697265625, 0.435302734375, 0.436767578125, 0.33349609375, 0.59423828125, -0.2001953125, -0.366455078125, -0.2071533203125, 0.83447265625, 0.63134765625, -0.35986328125, -0.0718994140625, -0.46484375, 0.017669677734375, -0.89013671875, 0.263671875, -0.61865234375, 0.347412109375, -0.033233642578125, -0.3076171875, 0.330078125, 1.20703125, 0.07720947265625, 0.190185546875, 0.09356689453125, 0.1900634765625, 0.73974609375, -0.37890625, 0.25830078125, 0.4462890625, -0.2685546875, 0.030364990234375, -0.00971221923828125, 0.432373046875, 0.210693359375, 0.055908203125, -0.318359375, -0.5078125, -0.8818359375, -0.40234375, 0.269287109375, 0.603515625, 0.0213470458984375, -0.294189453125, -0.01352691650390625, 0.017059326171875, -0.333740234375, 0.007083892822265625, -1.2197265625, -0.5703125, 0.673828125, -0.5361328125, -0.79443359375, -0.306640625, -0.33935546875, -0.38818359375, 0.052520751953125, 0.7265625, -0.1365966796875, 0.3115234375, 0.19677734375, 0.294921875, 0.006649017333984375, -0.364013671875, 0.40283203125, 0.55419921875, -0.5751953125, -0.259033203125, 0.3125, 0.98095703125, 0.1663818359375, -0.45947265625, -0.7109375, 0.054046630859375, 0.1505126953125, -0.004055023193359375, -0.2626953125, -0.00585174560546875, -0.44921875, 0.51025390625, -0.65478515625, 0.11376953125, -0.054046630859375, 0.436279296875, 0.318603515625, -0.58447265625, -0.74560546875, 1.2255859375, 0.39599609375, -0.52978515625, 0.410888671875, 0.346435546875, 0.30810546875, -0.286865234375, -0.09844970703125, -0.1561279296875, 0.57861328125, 0.79541015625, 0.435302734375, 0.034759521484375, 0.1722412109375, 0.71826171875, 0.396728515625, -0.0853271484375, -0.149658203125, 0.243408203125, -0.159912109375, 0.47265625, -0.34228515625, -0.5908203125, -0.16357421875, -0.451416015625, 0.1455078125, -0.263916015625, 0.12066650390625, -0.267578125, -0.401123046875, 0.6142578125, -0.5595703125, 0.236083984375, 0.36083984375, -0.685546875, 0.2568359375, 0.7822265625, -0.15380859375, -0.39501953125, 0.775390625, 0.56201171875, 0.64453125, 0.8720703125, 0.705078125, 0.0906982421875, -0.57958984375, 0.3583984375, 0.03448486328125, 0.163818359375, -0.200927734375, -0.708984375, -0.7001953125, 0.0032978057861328125, -0.28173828125, -0.173583984375, 0.59716796875, -0.3798828125, 0.07904052734375, -0.00408172607421875, 1.02734375, -0.166259765625, 0.39404296875, 0.378662109375, -0.49853515625, -0.67529296875, 0.8642578125, -0.50341796875, 0.60888671875, -0.16943359375, 1.099609375, 0.08074951171875, 1.1533203125, 0.4375, -0.407470703125, 0.020233154296875, 0.45361328125, -0.242431640625, -0.81005859375, -0.376220703125, -0.078857421875, 0.53515625, -0.1646728515625, -0.4931640625, 0.10272216796875, 0.80224609375, 0.2099609375, -0.662109375, -0.168701171875, 0.005733489990234375, -0.7265625, 0.291259765625, 0.140380859375, -0.0240325927734375, 0.031585693359375, -0.1240234375, 0.437255859375, -1.041015625, 0.04547119140625, -0.45361328125, 0.52490234375, -0.49267578125, -0.29443359375, -1.0810546875, -0.76416015625, -0.13427734375, 0.0733642578125, -0.31201171875, -1.001953125, 0.53857421875, 0.50244140625, 0.52587890625, 0.445068359375, -0.1416015625, 0.1943359375, 1.0205078125, 0.88623046875, -0.0289764404296875, 0.48095703125, 0.21630859375, -0.2237548828125, 0.194091796875, -0.53076171875, 0.316650390625, 0.12078857421875, 0.0723876953125, -0.221923828125, -0.114013671875, -0.67041015625, -1.08203125, 0.1553955078125, 0.92041015625, 0.5380859375, -0.5185546875, -0.7373046875, -0.38525390625, -1.1220703125, -0.0960693359375, -0.6240234375, 0.59716796875, 0.054962158203125, -0.1356201171875, 0.1993408203125, -0.98681640625, 4.41015625, 1.1240234375, 1.1826171875, 0.3701171875, 0.07037353515625, 1.0400390625, 0.52099609375, -0.1666259765625, -0.1744384765625, -0.371337890625, 0.46337890625, -0.300537109375, 0.278076171875, 1.0146484375, 0.198974609375, 0.24267578125, -0.65185546875, 0.00896453857421875, -0.043975830078125, -1.0048828125, -0.65234375, 0.181640625, -0.10382080078125, 0.81201171875, -0.34423828125, 0.25244140625, 0.1854248046875, -0.7744140625, 0.10919189453125, -0.39599609375, -0.180419921875, -0.34326171875, 0.78125, -0.2724609375, -0.0762939453125, 0.413330078125, 0.006832122802734375, -0.5576171875, -0.2176513671875, 0.047393798828125, 0.271728515625, 0.3818359375, 0.1373291015625, -0.763671875, 0.25927734375, 0.382568359375, -0.60888671875, 0.385498046875, 0.416259765625, -0.93798828125, 0.947265625, -0.47119140625, 0.36279296875, -0.89111328125, -0.54931640625, 0.283447265625, 0.033050537109375, -0.2200927734375, -0.424072265625, 0.62451171875, 0.494384765625, 0.2357177734375, 0.1566162109375, 0.08416748046875, -0.82080078125, 0.98779296875, -0.51904296875, 0.568359375, -0.705078125, -0.404541015625, -0.35009765625, -0.48486328125, -0.039215087890625, -0.669921875, 0.66552734375, -0.1563720703125, -0.36572265625, 0.59033203125, 0.28662109375, -0.88134765625, 0.10906982421875, -0.2381591796875, -0.61865234375, -0.49658203125, 0.37744140625, 0.81494140625, -0.433349609375, -0.192138671875, 0.0836181640625, 0.62060546875, 0.625, 0.3486328125, 0.1490478515625, -0.5888671875, -0.3330078125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Tags: *special, binary search, brute force, data structures, strings Correct Solution: ``` k=int(input()) e={} s=input() t=list(s*k) for i in range(len(t)): if t[i] in e:e[t[i]]+=[i] else:e[t[i]]=[i] for i in range(int(input())): q,w=input().split() q=int(q)-1 t[e[w][q]]="" e[w].pop(q) print("".join(t)) ```
7,820
[ 0.10833740234375, -0.2208251953125, 0.270751953125, 0.346923828125, -0.2205810546875, -0.54833984375, -0.48193359375, -0.50927734375, 0.38671875, 0.66162109375, 1.259765625, -0.3251953125, 0.058807373046875, -0.9462890625, -0.7470703125, 0.038604736328125, -0.638671875, -0.66064453125, -0.57275390625, -0.29833984375, 0.223388671875, -0.1405029296875, -1.2099609375, -0.3095703125, -0.371826171875, 0.94970703125, 0.1668701171875, -0.36962890625, 1.0263671875, 1.16796875, -0.416015625, -0.5078125, 0.87255859375, -0.79638671875, -0.345458984375, -0.27880859375, 0.36376953125, -0.60009765625, -0.572265625, -0.1895751953125, 0.1395263671875, -0.56103515625, 0.347900390625, -0.6328125, -1.2216796875, 0.08575439453125, -0.736328125, -0.239990234375, -0.5908203125, -0.685546875, -0.02874755859375, -0.190185546875, 0.96435546875, -0.033477783203125, -0.1932373046875, -0.31201171875, -0.037506103515625, -0.44677734375, -0.50244140625, 0.346435546875, -0.06292724609375, 0.2257080078125, -0.176513671875, -0.320068359375, 0.07000732421875, 0.0152587890625, -0.08380126953125, -0.10235595703125, 0.132568359375, -0.7275390625, -0.08642578125, 0.34375, -0.363037109375, -0.57763671875, -0.2100830078125, -0.259521484375, 0.1402587890625, -0.2479248046875, -0.662109375, 0.66748046875, -0.1046142578125, 0.6640625, 0.06951904296875, 0.2188720703125, -0.5595703125, -0.401123046875, 0.1951904296875, 0.306884765625, -0.0026378631591796875, -0.0880126953125, -0.0009007453918457031, 0.6767578125, -0.4130859375, -0.257568359375, 0.64013671875, 0.79736328125, -0.39501953125, 0.242431640625, 0.1966552734375, 0.07000732421875, 1.0078125, 0.67919921875, -0.134033203125, 1.091796875, -0.4287109375, 0.125244140625, 0.08404541015625, 0.269287109375, -0.363525390625, -0.5478515625, -0.01458740234375, -0.26318359375, 0.6611328125, 0.2022705078125, -0.119873046875, 0.90185546875, -0.0307464599609375, 0.284912109375, -0.5673828125, 0.01490020751953125, 0.38427734375, -0.0712890625, 0.386474609375, -0.72900390625, 0.178466796875, -0.5849609375, -0.8720703125, 1.19140625, -0.374755859375, 0.2078857421875, 0.2467041015625, 0.005718231201171875, -0.38818359375, -0.004428863525390625, -0.108154296875, 1.0478515625, -0.12359619140625, 0.75390625, 0.475341796875, -0.75830078125, 0.5537109375, 0.220458984375, -0.08258056640625, 1.2421875, 0.677734375, 0.5830078125, 0.6572265625, 0.480712890625, -0.6201171875, 0.1678466796875, -0.84326171875, 0.55029296875, 0.50244140625, 0.1346435546875, -0.12481689453125, 0.35986328125, -0.52685546875, 0.60205078125, 0.029327392578125, 0.282470703125, -0.402099609375, 0.29296875, -0.05633544921875, 0.71142578125, -0.052825927734375, 1.197265625, -0.64013671875, -0.728515625, -0.09002685546875, -0.86767578125, 0.415283203125, -0.284423828125, -0.09967041015625, 0.7958984375, 0.63525390625, 0.84716796875, 0.4365234375, -0.060028076171875, 0.08984375, -0.09619140625, -0.413818359375, 0.55224609375, 0.5517578125, 0.53564453125, 0.077392578125, 0.2032470703125, -0.0011768341064453125, -0.397705078125, -0.7744140625, -0.6826171875, 0.103759765625, 0.6337890625, -0.25732421875, 0.040924072265625, 0.325439453125, -0.2069091796875, -0.92822265625, -0.0894775390625, 0.58837890625, -1.2294921875, 0.1917724609375, 0.6826171875, -0.239501953125, 0.5615234375, -0.297607421875, -0.4619140625, 0.71435546875, 1.0927734375, 0.07861328125, 0.0753173828125, 0.63330078125, -0.08966064453125, -0.183837890625, -0.13427734375, 0.0633544921875, -0.36083984375, -0.300537109375, 0.82080078125, -0.411376953125, -0.222412109375, -0.0689697265625, 0.73095703125, 0.22021484375, 0.525390625, -0.29052734375, 0.1666259765625, 0.326904296875, 1.2265625, -0.1866455078125, 0.13427734375, 0.166748046875, 0.53955078125, 0.390625, 0.61181640625, 0.40869140625, 0.044830322265625, 0.75341796875, 1.1630859375, -0.2059326171875, 0.257080078125, 0.358642578125, 0.525390625, 0.765625, 0.2447509765625, -0.0296173095703125, 0.5458984375, 0.1563720703125, 0.202880859375, -0.277099609375, 0.2861328125, -0.65087890625, 0.36279296875, 0.181884765625, 0.0211334228515625, -0.56103515625, -0.26953125, 0.396484375, 0.53466796875, -0.79443359375, -0.19677734375, -0.7265625, 0.32958984375, 0.72314453125, -0.0190582275390625, 0.209716796875, 0.485595703125, 0.5322265625, 0.59033203125, -0.15771484375, -0.29150390625, -0.76953125, -1.0556640625, -0.791015625, -0.77978515625, -0.7177734375, -0.12359619140625, -0.056365966796875, -1.060546875, 0.4208984375, -0.341064453125, -0.250244140625, 0.402099609375, -0.432373046875, 0.810546875, -0.2174072265625, 0.7744140625, -0.83837890625, 0.66455078125, 0.041717529296875, 0.82861328125, -0.240966796875, 0.1436767578125, 0.0718994140625, -0.82275390625, -0.042510986328125, -0.0272674560546875, 0.88134765625, -0.08697509765625, -0.84033203125, -1.0693359375, -0.4248046875, 0.34619140625, -0.58837890625, 0.4091796875, -0.61669921875, 0.763671875, 0.359375, -0.2164306640625, 0.78173828125, 0.60205078125, -0.7626953125, 0.46240234375, 0.1519775390625, -0.12237548828125, -0.92138671875, 1.0498046875, 0.55810546875, 0.78076171875, -0.61767578125, -0.658203125, -0.5771484375, 0.054595947265625, 0.45654296875, -0.359619140625, -0.454833984375, 0.291259765625, 0.234619140625, -1.181640625, 0.5703125, -0.92529296875, -0.4677734375, -0.343994140625, -0.450927734375, 0.857421875, 1.3037109375, -0.309814453125, -0.2978515625, 0.076171875, -0.2254638671875, 0.95654296875, 0.5986328125, -0.56884765625, 0.1341552734375, 0.45849609375, -0.150634765625, -0.263671875, 0.11773681640625, -0.5078125, -0.361328125, -0.0458984375, 0.169921875, 0.333740234375, 0.2159423828125, 0.43701171875, 0.5234375, 0.57373046875, -0.93115234375, -0.462890625, -0.050872802734375, 0.74951171875, 0.5517578125, 0.5537109375, 0.194580078125, -0.4111328125, -0.36328125, -0.533203125, -0.1318359375, 0.71826171875, 0.71435546875, -0.7412109375, 0.48583984375, 0.658203125, -0.82421875, 0.6650390625, -0.62109375, 0.2841796875, 1.1806640625, -0.4599609375, 0.7900390625, -0.479248046875, 0.1796875, 0.00662994384765625, -0.050994873046875, 0.222412109375, 0.28125, 0.1494140625, -0.5693359375, -0.41064453125, -0.279052734375, -0.444580078125, 0.2919921875, -0.353759765625, -0.42431640625, -0.274658203125, -0.390625, -0.62890625, 0.5400390625, 0.76171875, 0.72509765625, -0.1046142578125, 0.57177734375, 0.56591796875, 0.24462890625, 0.6513671875, -0.42529296875, 0.1964111328125, -0.7158203125, 1.0419921875, 0.1873779296875, -0.39697265625, -0.334228515625, 0.05279541015625, 0.11541748046875, -0.0167236328125, 0.041229248046875, -0.14111328125, -1.109375, -0.01071929931640625, -0.2237548828125, 0.91650390625, -0.5361328125, -0.359375, -0.67578125, 0.6630859375, 0.05206298828125, -0.8408203125, 0.460205078125, -0.95166015625, 0.86328125, 0.66455078125, -0.150390625, -0.447021484375, -0.5087890625, -0.90234375, -0.64794921875, 0.193359375, 0.359619140625, -0.65087890625, -0.06365966796875, -0.8564453125, 0.51904296875, 0.25048828125, -0.20068359375, -0.0150604248046875, -0.248779296875, 0.5419921875, -0.0041961669921875, 0.7763671875, -0.2421875, -0.6982421875, 0.40478515625, -1.0703125, 0.62646484375, -0.62939453125, 0.69140625, -0.178466796875, -0.2783203125, -0.052703857421875, 0.3486328125, -0.418701171875, 0.1776123046875, 0.059814453125, 0.0498046875, -0.876953125, -0.59423828125, 0.3662109375, -0.466552734375, -0.1258544921875, 0.43701171875, 0.25048828125, -0.064208984375, 0.341064453125, 0.1986083984375, -0.27978515625, 0.435791015625, -0.78173828125, 0.93310546875, -0.471435546875, -0.58740234375, -0.0902099609375, -0.39111328125, 0.53857421875, -0.17626953125, -0.65869140625, -0.480224609375, -1.23828125, -0.037628173828125, -0.17724609375, -0.3017578125, 0.52197265625, 0.455322265625, -0.330810546875, -0.01922607421875, -0.35400390625, -0.353515625, -0.2191162109375, -0.8359375, -0.48681640625, 0.125732421875, -0.03814697265625, 0.859375, -0.0213470458984375, -0.396240234375, 0.0263671875, 0.1435546875, -0.0013484954833984375, -0.51220703125, -0.23046875, 0.02471923828125, 0.1800537109375, -0.53173828125, 0.265380859375, -0.149658203125, 0.72119140625, 1.1669921875, -0.12939453125, 0.2255859375, 0.2298583984375, -0.332763671875, 1.0322265625, 0.09765625, -0.9140625, -0.39013671875, 0.43115234375, 0.11065673828125, 0.6953125, 0.7421875, -1.3232421875, -0.306884765625, -0.64111328125, 0.62353515625, -0.7099609375, -0.13134765625, -1.3896484375, -0.366943359375, -0.488525390625, 0.57373046875, -0.04693603515625, -0.61083984375, 0.2418212890625, -0.7978515625, 0.1488037109375, -0.78076171875, -0.493408203125, -0.6611328125, -0.7822265625, 0.0706787109375, 0.8408203125, 0.344970703125, 0.521484375, 0.040557861328125, -0.378173828125, 0.403076171875, -0.313720703125, -0.79833984375, -0.556640625, -0.427490234375, 0.1844482421875, -0.1856689453125, 0.00730133056640625, -0.7607421875, 0.83154296875, -0.67626953125, 0.1160888671875, -0.328857421875, -0.1810302734375, -0.291748046875, -0.0005555152893066406, 1.0263671875, -0.84912109375, 0.22216796875, -0.411865234375, 0.64306640625, 0.5712890625, -0.367431640625, 0.05340576171875, -0.62255859375, -0.85009765625, -1.046875, 0.6064453125, -0.341796875, 0.212890625, -0.9208984375, 0.2191162109375, 0.8076171875, -0.65673828125, 0.35888671875, 1.00390625, 0.37158203125, 0.5771484375, -0.58935546875, 0.91845703125, 0.560546875, -0.2413330078125, -0.0242767333984375, -0.0836181640625, -0.67578125, 0.04974365234375, -0.1846923828125, -0.72021484375, -0.4365234375, 0.33251953125, 1.40625, 0.01166534423828125, 0.78759765625, -0.084228515625, -0.869140625, -0.76416015625, 0.62890625, 0.135009765625, 0.39208984375, 1.080078125, -0.2666015625, -0.10894775390625, 0.341796875, 0.1094970703125, -0.2208251953125, -0.4384765625, 0.9833984375, -0.12109375, -0.625, 0.64453125, 1.07421875, -1.0947265625, -1.0810546875, -0.3193359375, -0.138671875, -0.7314453125, -0.51416015625, 0.1690673828125, 0.796875, -0.9599609375, -0.11358642578125, 0.360595703125, -0.272216796875, 0.6201171875, -0.12249755859375, 0.27734375, -0.34619140625, 0.52294921875, 0.7412109375, -0.58984375, -0.0706787109375, -1.0595703125, -0.343017578125, -0.181396484375, 0.337646484375, 0.7978515625, -0.63623046875, -0.2015380859375, 0.41064453125, -0.00010251998901367188, 0.7080078125, 0.06488037109375, -0.10235595703125, 0.0634765625, -0.908203125, -0.5048828125, 0.29345703125, 0.36669921875, -0.54345703125, 0.62646484375, -0.60595703125, 0.036773681640625, 0.650390625, 0.58935546875, -0.45166015625, -0.939453125, 0.1693115234375, -1.0810546875, -0.53515625, -0.796875, -0.352783203125, -0.3515625, 0.3330078125, -0.010833740234375, -0.5810546875, 0.003673553466796875, 0.291259765625, -0.56494140625, 0.62255859375, -0.21337890625, 0.416259765625, -0.6162109375, -0.439208984375, -0.84423828125, -0.262939453125, -0.364990234375, -0.390625, -0.37939453125, 0.77978515625, -0.1348876953125, 0.40185546875, -0.0604248046875, 0.468017578125, -0.319091796875, -1.1005859375, -0.1522216796875, -0.1912841796875, -0.1815185546875, 0.47412109375, 0.442138671875, 0.330078125, 0.615234375, -0.1689453125, -0.41064453125, -0.23779296875, 0.83642578125, 0.6201171875, -0.34765625, -0.09271240234375, -0.454345703125, 0.037322998046875, -0.828125, 0.2392578125, -0.6201171875, 0.280517578125, -0.01517486572265625, -0.297607421875, 0.2890625, 1.1142578125, 0.07611083984375, 0.20263671875, 0.04998779296875, 0.197265625, 0.72119140625, -0.377685546875, 0.267578125, 0.396484375, -0.25537109375, 0.1246337890625, -0.0821533203125, 0.495361328125, 0.2177734375, 0.10205078125, -0.262451171875, -0.50390625, -0.79638671875, -0.396728515625, 0.300048828125, 0.52783203125, -0.0251922607421875, -0.255126953125, 0.01016998291015625, 0.07489013671875, -0.284423828125, 0.07489013671875, -1.181640625, -0.55712890625, 0.62744140625, -0.49169921875, -0.7724609375, -0.298828125, -0.342529296875, -0.406494140625, 0.003917694091796875, 0.6826171875, -0.11566162109375, 0.3056640625, 0.196533203125, 0.3388671875, -0.045074462890625, -0.3154296875, 0.3916015625, 0.533203125, -0.59033203125, -0.332275390625, 0.398193359375, 0.99658203125, 0.177734375, -0.46728515625, -0.68994140625, 0.07928466796875, 0.193603515625, -0.000024318695068359375, -0.192626953125, 0.00875091552734375, -0.485107421875, 0.457763671875, -0.6865234375, 0.057281494140625, -0.0465087890625, 0.517578125, 0.2685546875, -0.6181640625, -0.73583984375, 1.2119140625, 0.4140625, -0.52392578125, 0.38134765625, 0.311767578125, 0.36669921875, -0.3203125, -0.093994140625, -0.11041259765625, 0.5546875, 0.78076171875, 0.39794921875, 0.0292816162109375, 0.1917724609375, 0.69677734375, 0.36572265625, -0.1168212890625, -0.1279296875, 0.2607421875, -0.1529541015625, 0.467041015625, -0.338623046875, -0.53466796875, -0.1724853515625, -0.50244140625, 0.1641845703125, -0.260009765625, 0.103515625, -0.252197265625, -0.4326171875, 0.6533203125, -0.56689453125, 0.2496337890625, 0.353759765625, -0.609375, 0.2408447265625, 0.82373046875, -0.164794921875, -0.3857421875, 0.748046875, 0.54345703125, 0.64306640625, 0.84033203125, 0.71728515625, 0.11517333984375, -0.51513671875, 0.41748046875, 0.0268707275390625, 0.1898193359375, -0.200927734375, -0.69287109375, -0.67578125, -0.0251007080078125, -0.31689453125, -0.15478515625, 0.6416015625, -0.405029296875, 0.035125732421875, -0.0269927978515625, 0.990234375, -0.10272216796875, 0.318359375, 0.43212890625, -0.5224609375, -0.68701171875, 0.90673828125, -0.498046875, 0.58349609375, -0.1954345703125, 1.11328125, 0.07550048828125, 1.2421875, 0.443603515625, -0.427734375, 0.0313720703125, 0.465576171875, -0.23583984375, -0.85791015625, -0.3515625, -0.07806396484375, 0.462646484375, -0.252197265625, -0.4326171875, 0.082275390625, 0.7587890625, 0.163818359375, -0.72900390625, -0.221923828125, 0.0400390625, -0.7353515625, 0.2176513671875, 0.11614990234375, -0.01056671142578125, 0.0268707275390625, -0.0997314453125, 0.3720703125, -1.01171875, -0.04278564453125, -0.46435546875, 0.5634765625, -0.465087890625, -0.283935546875, -1.11328125, -0.75634765625, -0.1439208984375, 0.051971435546875, -0.35546875, -0.9482421875, 0.61962890625, 0.509765625, 0.541015625, 0.5078125, -0.0694580078125, 0.2476806640625, 1.0673828125, 0.9072265625, -0.043212890625, 0.51171875, 0.2352294921875, -0.2269287109375, 0.19970703125, -0.5576171875, 0.30322265625, 0.12274169921875, 0.0643310546875, -0.25146484375, -0.0992431640625, -0.6962890625, -1.0546875, 0.192138671875, 0.947265625, 0.52685546875, -0.47412109375, -0.72314453125, -0.328857421875, -1.1005859375, -0.1138916015625, -0.66357421875, 0.568359375, 0.0653076171875, -0.166015625, 0.185302734375, -1.005859375, 4.3984375, 1.1015625, 1.1953125, 0.371337890625, 0.06622314453125, 1.07421875, 0.461669921875, -0.1995849609375, -0.202880859375, -0.35888671875, 0.5126953125, -0.31787109375, 0.3017578125, 0.978515625, 0.23193359375, 0.2335205078125, -0.65478515625, 0.0362548828125, -0.134765625, -1.0439453125, -0.71484375, 0.1932373046875, -0.1361083984375, 0.8349609375, -0.4091796875, 0.2685546875, 0.10418701171875, -0.76220703125, 0.1368408203125, -0.48193359375, -0.1317138671875, -0.334228515625, 0.783203125, -0.226318359375, -0.030242919921875, 0.44775390625, 0.00644683837890625, -0.53857421875, -0.253662109375, 0.046051025390625, 0.2216796875, 0.316162109375, 0.13037109375, -0.81884765625, 0.2469482421875, 0.377685546875, -0.591796875, 0.413330078125, 0.4189453125, -0.9130859375, 1.0224609375, -0.461181640625, 0.397705078125, -0.8916015625, -0.56201171875, 0.25390625, 0.0193328857421875, -0.23193359375, -0.369384765625, 0.66796875, 0.51220703125, 0.2313232421875, 0.1678466796875, 0.04388427734375, -0.794921875, 0.98583984375, -0.595703125, 0.626953125, -0.69482421875, -0.396240234375, -0.289794921875, -0.47314453125, 0.04937744140625, -0.68505859375, 0.65966796875, -0.1668701171875, -0.388671875, 0.568359375, 0.2587890625, -0.87744140625, 0.10198974609375, -0.1800537109375, -0.63134765625, -0.513671875, 0.357421875, 0.87451171875, -0.4130859375, -0.1953125, 0.08587646484375, 0.6103515625, 0.63330078125, 0.363037109375, 0.06915283203125, -0.5615234375, -0.303466796875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Tags: *special, binary search, brute force, data structures, strings Correct Solution: ``` import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") ########################################################## from collections import Counter # c=sorted((i,int(val))for i,val in enumerate(input().split())) import heapq # c=sorted((i,int(val))for i,val in enumerate(input().split())) # n = int(input()) # ls = list(map(int, input().split())) # n, k = map(int, input().split()) # n =int(input()) # e=list(map(int, input().split())) from collections import Counter #for _ in range(int(input())): k=int(input()) ans=list(input()*k) d={} #print(ans) for i,ch in enumerate(ans): if ch not in d: d[ch]=[i] else: d[ch].append(i) #print(d) for _ in range(int(input())): var=input().split() ch=var[1] pos=int(var[0]) ans[d[ch][pos-1]]="" d[ch].pop(pos-1) print("".join(ans)) ```
7,821
[ 0.16162109375, -0.268310546875, 0.267333984375, 0.380126953125, -0.2340087890625, -0.5537109375, -0.477294921875, -0.515625, 0.440185546875, 0.68115234375, 1.2392578125, -0.34521484375, 0.037384033203125, -0.8837890625, -0.66259765625, 0.08270263671875, -0.6103515625, -0.6904296875, -0.55419921875, -0.3037109375, 0.1627197265625, -0.198486328125, -1.185546875, -0.2958984375, -0.41015625, 0.90576171875, 0.11688232421875, -0.26904296875, 1.0224609375, 1.1142578125, -0.407470703125, -0.58740234375, 0.9248046875, -0.8505859375, -0.32470703125, -0.28271484375, 0.416259765625, -0.59033203125, -0.58251953125, -0.272216796875, 0.2027587890625, -0.591796875, 0.3876953125, -0.6806640625, -1.220703125, 0.060882568359375, -0.69580078125, -0.2666015625, -0.572265625, -0.63916015625, -0.08673095703125, -0.13671875, 0.88720703125, -0.1019287109375, -0.2008056640625, -0.269287109375, -0.07049560546875, -0.4609375, -0.406982421875, 0.32861328125, -0.03582763671875, 0.26513671875, -0.136474609375, -0.35546875, 0.177490234375, 0.116455078125, -0.10992431640625, -0.136474609375, 0.046875, -0.66650390625, -0.05450439453125, 0.37158203125, -0.24169921875, -0.615234375, -0.2286376953125, -0.25830078125, 0.181396484375, -0.247314453125, -0.62451171875, 0.689453125, -0.1300048828125, 0.69482421875, 0.11004638671875, 0.189453125, -0.56396484375, -0.386474609375, 0.20361328125, 0.2335205078125, -0.0947265625, -0.06402587890625, 0.0229339599609375, 0.68505859375, -0.40673828125, -0.2191162109375, 0.70751953125, 0.85888671875, -0.424072265625, 0.2052001953125, 0.2080078125, 0.06585693359375, 1.02734375, 0.7138671875, -0.0947265625, 1.009765625, -0.45166015625, 0.12841796875, 0.10028076171875, 0.2276611328125, -0.392333984375, -0.5419921875, -0.0697021484375, -0.3134765625, 0.68115234375, 0.282470703125, -0.05316162109375, 0.859375, -0.050750732421875, 0.337158203125, -0.5703125, -0.0229034423828125, 0.2939453125, -0.0100555419921875, 0.37353515625, -0.8193359375, 0.1312255859375, -0.59619140625, -0.8447265625, 1.2236328125, -0.40576171875, 0.2252197265625, 0.2437744140625, -0.022918701171875, -0.352783203125, 0.0772705078125, -0.1722412109375, 1.0791015625, -0.055145263671875, 0.7001953125, 0.496337890625, -0.7880859375, 0.552734375, 0.2479248046875, -0.053131103515625, 1.265625, 0.6162109375, 0.623046875, 0.58935546875, 0.492919921875, -0.654296875, 0.2264404296875, -0.806640625, 0.494384765625, 0.5517578125, 0.1859130859375, -0.2093505859375, 0.39501953125, -0.490234375, 0.6787109375, 0.0751953125, 0.239013671875, -0.458740234375, 0.3466796875, -0.05218505859375, 0.70751953125, -0.1185302734375, 1.1796875, -0.61474609375, -0.66796875, -0.01535797119140625, -0.7958984375, 0.384765625, -0.278564453125, -0.1541748046875, 0.7509765625, 0.568359375, 0.74658203125, 0.461181640625, -0.025604248046875, 0.1571044921875, -0.07135009765625, -0.45751953125, 0.478515625, 0.5634765625, 0.445068359375, 0.10772705078125, 0.220947265625, -0.007415771484375, -0.356689453125, -0.7734375, -0.66845703125, 0.1134033203125, 0.732421875, -0.251708984375, 0.09906005859375, 0.390869140625, -0.185302734375, -0.90966796875, -0.11956787109375, 0.62109375, -1.2080078125, 0.10260009765625, 0.68505859375, -0.27392578125, 0.5673828125, -0.1888427734375, -0.434326171875, 0.7275390625, 1.0947265625, 0.1416015625, 0.1419677734375, 0.72509765625, -0.2244873046875, -0.2064208984375, -0.047088623046875, 0.091552734375, -0.362548828125, -0.28857421875, 0.8505859375, -0.3310546875, -0.23974609375, -0.056121826171875, 0.7041015625, 0.196533203125, 0.441650390625, -0.25830078125, 0.2034912109375, 0.20654296875, 1.17578125, -0.167724609375, 0.05364990234375, 0.1497802734375, 0.5244140625, 0.301025390625, 0.60888671875, 0.4052734375, 0.043182373046875, 0.8037109375, 1.12890625, -0.25537109375, 0.288818359375, 0.27685546875, 0.55322265625, 0.6513671875, 0.26513671875, -0.06964111328125, 0.473876953125, 0.183837890625, 0.23974609375, -0.1981201171875, 0.2039794921875, -0.662109375, 0.361083984375, 0.08355712890625, 0.033355712890625, -0.5888671875, -0.23583984375, 0.361572265625, 0.52734375, -0.798828125, -0.1766357421875, -0.76318359375, 0.291748046875, 0.640625, 0.05535888671875, 0.1839599609375, 0.48486328125, 0.456787109375, 0.6943359375, -0.16796875, -0.2283935546875, -0.78515625, -0.97412109375, -0.79248046875, -0.7626953125, -0.64892578125, -0.0777587890625, -0.0248260498046875, -1.146484375, 0.451416015625, -0.34619140625, -0.132080078125, 0.449951171875, -0.392578125, 0.81005859375, -0.2374267578125, 0.7802734375, -0.82861328125, 0.669921875, -0.0007677078247070312, 0.89013671875, -0.1966552734375, 0.1552734375, 0.01806640625, -0.82373046875, 0.0114898681640625, -0.0199432373046875, 0.8515625, -0.08807373046875, -0.84765625, -1.1103515625, -0.45947265625, 0.28125, -0.56884765625, 0.370849609375, -0.62158203125, 0.74267578125, 0.403564453125, -0.20556640625, 0.837890625, 0.50537109375, -0.73583984375, 0.51025390625, 0.105224609375, -0.041595458984375, -0.873046875, 1.025390625, 0.469482421875, 0.7890625, -0.66259765625, -0.69482421875, -0.53759765625, 0.0258636474609375, 0.433349609375, -0.35791015625, -0.482666015625, 0.32275390625, 0.318603515625, -1.166015625, 0.59130859375, -0.90869140625, -0.4609375, -0.34765625, -0.51025390625, 0.77294921875, 1.234375, -0.293212890625, -0.339599609375, 0.06787109375, -0.259033203125, 0.90673828125, 0.623046875, -0.51611328125, 0.220947265625, 0.471923828125, -0.191162109375, -0.2685546875, 0.150146484375, -0.58984375, -0.342529296875, -0.0616455078125, 0.11199951171875, 0.327392578125, 0.12176513671875, 0.44677734375, 0.56787109375, 0.63330078125, -0.99609375, -0.463134765625, -0.07977294921875, 0.61865234375, 0.51611328125, 0.4765625, 0.1556396484375, -0.4326171875, -0.304443359375, -0.499755859375, -0.09033203125, 0.69384765625, 0.7783203125, -0.72998046875, 0.52294921875, 0.5751953125, -0.84326171875, 0.650390625, -0.6064453125, 0.357666015625, 1.2021484375, -0.4462890625, 0.83154296875, -0.44921875, 0.2362060546875, 0.06317138671875, 0.0238037109375, 0.25341796875, 0.287841796875, 0.104736328125, -0.59521484375, -0.3740234375, -0.3515625, -0.491943359375, 0.2435302734375, -0.2164306640625, -0.419921875, -0.2392578125, -0.332275390625, -0.7060546875, 0.52197265625, 0.88671875, 0.80029296875, -0.104248046875, 0.461669921875, 0.412353515625, 0.2413330078125, 0.62939453125, -0.443115234375, 0.2880859375, -0.75927734375, 0.98388671875, 0.173095703125, -0.407958984375, -0.35205078125, 0.034515380859375, 0.056243896484375, 0.0156097412109375, -0.04681396484375, -0.0687255859375, -1.177734375, -0.021270751953125, -0.1915283203125, 0.86767578125, -0.61279296875, -0.305419921875, -0.74169921875, 0.67578125, 0.046844482421875, -0.81298828125, 0.482666015625, -0.85986328125, 0.84423828125, 0.70166015625, -0.1568603515625, -0.412353515625, -0.48486328125, -0.947265625, -0.6298828125, 0.263916015625, 0.2452392578125, -0.595703125, 0.0186920166015625, -0.78857421875, 0.533203125, 0.2039794921875, -0.281982421875, -0.0174407958984375, -0.263916015625, 0.5478515625, 0.0094757080078125, 0.69970703125, -0.1993408203125, -0.693359375, 0.4150390625, -1.0048828125, 0.59228515625, -0.6767578125, 0.5634765625, -0.231201171875, -0.298095703125, -0.0421142578125, 0.3720703125, -0.413818359375, 0.1510009765625, -0.032989501953125, 0.1396484375, -0.8955078125, -0.6328125, 0.4013671875, -0.478515625, -0.2177734375, 0.40673828125, 0.34912109375, -0.13037109375, 0.41552734375, 0.2086181640625, -0.221923828125, 0.444580078125, -0.79541015625, 0.880859375, -0.487060546875, -0.58984375, -0.1595458984375, -0.369873046875, 0.484375, -0.1378173828125, -0.630859375, -0.4306640625, -1.2646484375, -0.10693359375, -0.170654296875, -0.253662109375, 0.56982421875, 0.3740234375, -0.28759765625, -0.0075225830078125, -0.36572265625, -0.392333984375, -0.18798828125, -0.79345703125, -0.57470703125, 0.1953125, -0.0036182403564453125, 0.8330078125, -0.0220794677734375, -0.40625, -0.043975830078125, 0.1385498046875, -0.07147216796875, -0.49951171875, -0.24560546875, 0.0011186599731445312, 0.1978759765625, -0.56591796875, 0.23681640625, -0.1153564453125, 0.76416015625, 1.109375, -0.09375, 0.2442626953125, 0.265625, -0.353515625, 0.994140625, 0.0645751953125, -0.82861328125, -0.376220703125, 0.43408203125, 0.036651611328125, 0.73583984375, 0.68017578125, -1.220703125, -0.343505859375, -0.68701171875, 0.63134765625, -0.62841796875, -0.10760498046875, -1.3681640625, -0.373291015625, -0.416259765625, 0.5517578125, 0.041656494140625, -0.6025390625, 0.310302734375, -0.78955078125, 0.08056640625, -0.8095703125, -0.476806640625, -0.68212890625, -0.77294921875, 0.08172607421875, 0.85107421875, 0.32763671875, 0.5185546875, 0.0823974609375, -0.260498046875, 0.35791015625, -0.323974609375, -0.76904296875, -0.5400390625, -0.433837890625, 0.1746826171875, -0.184814453125, 0.0859375, -0.78076171875, 0.7568359375, -0.62451171875, 0.06390380859375, -0.296630859375, -0.127197265625, -0.266845703125, 0.126220703125, 1.0810546875, -0.94189453125, 0.271240234375, -0.34521484375, 0.69970703125, 0.494140625, -0.29150390625, 0.0057525634765625, -0.56884765625, -0.7900390625, -1.083984375, 0.54541015625, -0.407470703125, 0.1597900390625, -0.9111328125, 0.24169921875, 0.70654296875, -0.6689453125, 0.37353515625, 0.97802734375, 0.35546875, 0.438720703125, -0.60595703125, 1.06640625, 0.515625, -0.20751953125, 0.0013074874877929688, -0.0794677734375, -0.689453125, 0.007068634033203125, -0.1812744140625, -0.71337890625, -0.37939453125, 0.2430419921875, 1.3994140625, 0.0621337890625, 0.86572265625, -0.032958984375, -0.8056640625, -0.66943359375, 0.5869140625, 0.149169921875, 0.357666015625, 1.01171875, -0.316162109375, -0.0196380615234375, 0.396240234375, 0.109130859375, -0.173095703125, -0.430908203125, 1.0126953125, -0.134033203125, -0.63232421875, 0.615234375, 1.0625, -1.142578125, -1.0439453125, -0.326416015625, -0.09228515625, -0.75830078125, -0.468505859375, 0.1400146484375, 0.775390625, -1.00390625, -0.12127685546875, 0.33935546875, -0.277587890625, 0.67578125, -0.12139892578125, 0.18310546875, -0.3759765625, 0.42822265625, 0.78515625, -0.63037109375, -0.141845703125, -1.005859375, -0.26904296875, -0.251708984375, 0.410400390625, 0.81982421875, -0.650390625, -0.22216796875, 0.36669921875, 0.040985107421875, 0.6962890625, 0.13623046875, -0.0433349609375, 0.0264739990234375, -0.97509765625, -0.5263671875, 0.26611328125, 0.34765625, -0.55078125, 0.6298828125, -0.63134765625, 0.051971435546875, 0.6669921875, 0.5419921875, -0.37158203125, -0.99072265625, 0.16845703125, -1.080078125, -0.447998046875, -0.7626953125, -0.411376953125, -0.359130859375, 0.369384765625, 0.06658935546875, -0.61279296875, -0.003238677978515625, 0.298095703125, -0.441650390625, 0.53173828125, -0.25146484375, 0.321044921875, -0.63232421875, -0.42822265625, -0.87646484375, -0.23046875, -0.333251953125, -0.34521484375, -0.386962890625, 0.765625, -0.129638671875, 0.51611328125, 0.0207672119140625, 0.4619140625, -0.366455078125, -1.037109375, -0.172607421875, -0.2142333984375, -0.1685791015625, 0.52490234375, 0.381103515625, 0.306640625, 0.65478515625, -0.178466796875, -0.353271484375, -0.240966796875, 0.76513671875, 0.5712890625, -0.3681640625, -0.164794921875, -0.4404296875, 0.0653076171875, -0.78271484375, 0.271728515625, -0.63134765625, 0.31005859375, -0.0014925003051757812, -0.260986328125, 0.2257080078125, 1.1376953125, -0.00206756591796875, 0.2396240234375, -0.017578125, 0.1343994140625, 0.7275390625, -0.371337890625, 0.30322265625, 0.368408203125, -0.289306640625, 0.056182861328125, -0.07318115234375, 0.51806640625, 0.1611328125, 0.126708984375, -0.298828125, -0.356201171875, -0.79248046875, -0.37060546875, 0.33447265625, 0.53466796875, -0.05450439453125, -0.269775390625, -0.06964111328125, 0.08697509765625, -0.301513671875, 0.07586669921875, -1.2197265625, -0.56005859375, 0.61474609375, -0.53759765625, -0.77197265625, -0.309814453125, -0.31005859375, -0.403076171875, 0.039764404296875, 0.5703125, -0.10186767578125, 0.268310546875, 0.1630859375, 0.296142578125, -0.10052490234375, -0.38427734375, 0.37255859375, 0.4970703125, -0.54150390625, -0.34375, 0.420166015625, 1.0234375, 0.1204833984375, -0.462646484375, -0.75537109375, 0.08074951171875, 0.1678466796875, 0.09686279296875, -0.20068359375, -0.0154876708984375, -0.478271484375, 0.51171875, -0.61962890625, 0.08526611328125, -0.05731201171875, 0.409912109375, 0.313720703125, -0.60107421875, -0.75439453125, 1.17578125, 0.38525390625, -0.45263671875, 0.432373046875, 0.274658203125, 0.38623046875, -0.350830078125, -0.1302490234375, -0.1441650390625, 0.65234375, 0.76953125, 0.37255859375, 0.0198516845703125, 0.21044921875, 0.6845703125, 0.3701171875, -0.155517578125, -0.1510009765625, 0.305419921875, -0.250732421875, 0.47509765625, -0.362548828125, -0.5751953125, -0.1873779296875, -0.461181640625, 0.2215576171875, -0.2467041015625, 0.093505859375, -0.1846923828125, -0.3955078125, 0.6025390625, -0.568359375, 0.1329345703125, 0.389404296875, -0.61572265625, 0.266357421875, 0.748046875, -0.1806640625, -0.37744140625, 0.79345703125, 0.495361328125, 0.59326171875, 0.8046875, 0.724609375, 0.164794921875, -0.55322265625, 0.369384765625, 0.039276123046875, 0.1737060546875, -0.2335205078125, -0.548828125, -0.69384765625, 0.00412750244140625, -0.3154296875, -0.13720703125, 0.61328125, -0.396728515625, 0.0008401870727539062, -0.045745849609375, 0.9208984375, -0.157470703125, 0.373779296875, 0.5068359375, -0.494384765625, -0.6904296875, 0.8876953125, -0.49462890625, 0.52392578125, -0.1650390625, 1.0625, 0.1187744140625, 1.2294921875, 0.416015625, -0.408203125, -0.068359375, 0.433837890625, -0.31640625, -0.8818359375, -0.333984375, -0.0885009765625, 0.46044921875, -0.20263671875, -0.499267578125, 0.25830078125, 0.669921875, 0.200927734375, -0.68896484375, -0.1558837890625, 0.0096282958984375, -0.7646484375, 0.25341796875, 0.16064453125, -0.0190582275390625, -0.025115966796875, -0.059783935546875, 0.405029296875, -1.0185546875, -0.043548583984375, -0.408203125, 0.59423828125, -0.468017578125, -0.25048828125, -1.1123046875, -0.71484375, -0.1524658203125, 0.0066070556640625, -0.33203125, -0.97412109375, 0.5810546875, 0.5654296875, 0.476806640625, 0.47900390625, -0.052703857421875, 0.294677734375, 1.076171875, 0.9814453125, 0.0246124267578125, 0.505859375, 0.22265625, -0.2127685546875, 0.169189453125, -0.484619140625, 0.270751953125, 0.1705322265625, -0.0193328857421875, -0.2783203125, -0.044219970703125, -0.728515625, -1.0380859375, 0.259765625, 0.87353515625, 0.57666015625, -0.50830078125, -0.7568359375, -0.307373046875, -1.1396484375, -0.1480712890625, -0.7158203125, 0.517578125, 0.12646484375, -0.1669921875, 0.21484375, -0.935546875, 4.44140625, 1.095703125, 1.1982421875, 0.4189453125, 0.09490966796875, 1.0107421875, 0.49267578125, -0.19140625, -0.2071533203125, -0.4189453125, 0.51171875, -0.321044921875, 0.276611328125, 0.98291015625, 0.303466796875, 0.234130859375, -0.5693359375, 0.0257568359375, -0.08404541015625, -0.9658203125, -0.69287109375, 0.116943359375, -0.10906982421875, 0.796875, -0.29345703125, 0.2025146484375, 0.1392822265625, -0.77734375, 0.143310546875, -0.453857421875, -0.1590576171875, -0.359619140625, 0.71142578125, -0.28369140625, -0.0175628662109375, 0.48193359375, -0.004177093505859375, -0.564453125, -0.208984375, 0.043670654296875, 0.0809326171875, 0.36083984375, 0.049102783203125, -0.76025390625, 0.30908203125, 0.383544921875, -0.468994140625, 0.438720703125, 0.449462890625, -0.9404296875, 1.0869140625, -0.40283203125, 0.364501953125, -0.92041015625, -0.5048828125, 0.27490234375, 0.002971649169921875, -0.23681640625, -0.3984375, 0.6357421875, 0.61181640625, 0.226318359375, 0.137451171875, 0.032318115234375, -0.7890625, 0.94677734375, -0.58251953125, 0.65771484375, -0.7236328125, -0.425048828125, -0.36865234375, -0.420166015625, 0.05859375, -0.654296875, 0.65478515625, -0.2327880859375, -0.443603515625, 0.54638671875, 0.2271728515625, -0.81201171875, 0.129638671875, -0.260009765625, -0.67041015625, -0.491943359375, 0.37060546875, 0.9306640625, -0.48583984375, -0.205078125, 0.0227508544921875, 0.6083984375, 0.65283203125, 0.3408203125, 0.0592041015625, -0.595703125, -0.322021484375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Tags: *special, binary search, brute force, data structures, strings Correct Solution: ``` n = int(input()) t = input() l = len(t) m = int(input()) q = {c: [] for c in 'abcdefghijklmnopqrstuvwxyz'} for j, c in enumerate(t): q[c].append(j) q = {c: [i + j for i in range(0, n * l, l) for j in q[c]] for c in q} t = n * list(t) for i in range(m): j, c = input().split() t[q[c].pop(int(j) - 1)] = '' print(''.join(t)) ```
7,822
[ 0.10052490234375, -0.210693359375, 0.2474365234375, 0.3515625, -0.2232666015625, -0.52880859375, -0.489013671875, -0.515625, 0.359619140625, 0.6630859375, 1.2529296875, -0.3330078125, 0.06805419921875, -0.91796875, -0.74072265625, 0.018310546875, -0.63037109375, -0.66650390625, -0.53955078125, -0.28076171875, 0.19873046875, -0.1409912109375, -1.216796875, -0.302978515625, -0.388916015625, 0.94140625, 0.173583984375, -0.3681640625, 0.9970703125, 1.17578125, -0.424560546875, -0.533203125, 0.875, -0.810546875, -0.35400390625, -0.279541015625, 0.378662109375, -0.58056640625, -0.560546875, -0.18896484375, 0.145263671875, -0.57568359375, 0.350830078125, -0.6259765625, -1.2080078125, 0.0699462890625, -0.7177734375, -0.226318359375, -0.60986328125, -0.68017578125, -0.033843994140625, -0.1939697265625, 0.93798828125, -0.0306854248046875, -0.1922607421875, -0.3232421875, -0.031707763671875, -0.437744140625, -0.48779296875, 0.345947265625, -0.08123779296875, 0.241943359375, -0.1749267578125, -0.31103515625, 0.06378173828125, 0.02520751953125, -0.09442138671875, -0.11163330078125, 0.1273193359375, -0.7392578125, -0.09600830078125, 0.348876953125, -0.369140625, -0.58251953125, -0.2257080078125, -0.2459716796875, 0.135009765625, -0.2410888671875, -0.669921875, 0.66015625, -0.09527587890625, 0.6923828125, 0.060302734375, 0.23779296875, -0.54052734375, -0.399658203125, 0.2205810546875, 0.299072265625, -0.0162353515625, -0.0858154296875, 0.00701141357421875, 0.65625, -0.376953125, -0.287841796875, 0.64453125, 0.81884765625, -0.401611328125, 0.2462158203125, 0.17822265625, 0.0770263671875, 1.0185546875, 0.66845703125, -0.14404296875, 1.1142578125, -0.407958984375, 0.1368408203125, 0.080078125, 0.2705078125, -0.366943359375, -0.55224609375, -0.016387939453125, -0.25390625, 0.67431640625, 0.2105712890625, -0.1051025390625, 0.85791015625, -0.09051513671875, 0.277587890625, -0.55517578125, 0.0084686279296875, 0.3720703125, -0.1038818359375, 0.387939453125, -0.71826171875, 0.21142578125, -0.6328125, -0.8740234375, 1.1767578125, -0.385986328125, 0.191650390625, 0.2568359375, 0.01904296875, -0.3974609375, 0.00485992431640625, -0.10662841796875, 1.048828125, -0.1119384765625, 0.73876953125, 0.463623046875, -0.73876953125, 0.57275390625, 0.2119140625, -0.0767822265625, 1.2705078125, 0.689453125, 0.56396484375, 0.62939453125, 0.5048828125, -0.634765625, 0.16796875, -0.85107421875, 0.53466796875, 0.48486328125, 0.1378173828125, -0.124755859375, 0.361083984375, -0.5595703125, 0.638671875, 0.02850341796875, 0.297119140625, -0.401123046875, 0.298095703125, -0.03948974609375, 0.69873046875, -0.05194091796875, 1.1953125, -0.65087890625, -0.7685546875, -0.08050537109375, -0.85205078125, 0.399658203125, -0.2900390625, -0.10736083984375, 0.79345703125, 0.64599609375, 0.86572265625, 0.38818359375, -0.065185546875, 0.09014892578125, -0.10888671875, -0.406005859375, 0.55615234375, 0.53466796875, 0.5244140625, 0.049560546875, 0.196533203125, -0.0208282470703125, -0.365234375, -0.75927734375, -0.6748046875, 0.14111328125, 0.62841796875, -0.263916015625, 0.060028076171875, 0.34716796875, -0.1900634765625, -0.951171875, -0.09539794921875, 0.59814453125, -1.2275390625, 0.150390625, 0.669921875, -0.233154296875, 0.55029296875, -0.28076171875, -0.4443359375, 0.72802734375, 1.1064453125, 0.07415771484375, 0.07861328125, 0.6474609375, -0.13818359375, -0.197265625, -0.1220703125, 0.079833984375, -0.35693359375, -0.290771484375, 0.7919921875, -0.4111328125, -0.2479248046875, -0.066162109375, 0.75634765625, 0.2174072265625, 0.52490234375, -0.30615234375, 0.1741943359375, 0.32568359375, 1.22265625, -0.1964111328125, 0.1593017578125, 0.1929931640625, 0.54833984375, 0.382568359375, 0.58837890625, 0.400146484375, 0.019439697265625, 0.75634765625, 1.189453125, -0.228759765625, 0.2236328125, 0.3486328125, 0.53955078125, 0.7412109375, 0.248046875, -0.003490447998046875, 0.55126953125, 0.1568603515625, 0.2254638671875, -0.29150390625, 0.2763671875, -0.67431640625, 0.321044921875, 0.18798828125, -0.0258331298828125, -0.58544921875, -0.284912109375, 0.395751953125, 0.5107421875, -0.7705078125, -0.198974609375, -0.72265625, 0.316162109375, 0.728515625, -0.0124664306640625, 0.1719970703125, 0.445556640625, 0.53466796875, 0.60009765625, -0.1363525390625, -0.27978515625, -0.78466796875, -1.0537109375, -0.75830078125, -0.7978515625, -0.70068359375, -0.130615234375, -0.06500244140625, -1.056640625, 0.4072265625, -0.32568359375, -0.232666015625, 0.414794921875, -0.432373046875, 0.8017578125, -0.2342529296875, 0.73974609375, -0.8330078125, 0.68505859375, -0.007747650146484375, 0.81787109375, -0.263427734375, 0.1759033203125, 0.085205078125, -0.78955078125, -0.03961181640625, -0.017242431640625, 0.86865234375, -0.1165771484375, -0.81201171875, -1.07421875, -0.44384765625, 0.308349609375, -0.5888671875, 0.4208984375, -0.6181640625, 0.74560546875, 0.388916015625, -0.230224609375, 0.78515625, 0.56103515625, -0.72216796875, 0.44384765625, 0.1646728515625, -0.060699462890625, -0.89794921875, 1.060546875, 0.52783203125, 0.76904296875, -0.60400390625, -0.65966796875, -0.55615234375, 0.06658935546875, 0.4501953125, -0.36181640625, -0.47412109375, 0.30908203125, 0.23095703125, -1.146484375, 0.57568359375, -0.92578125, -0.4833984375, -0.303466796875, -0.478271484375, 0.8330078125, 1.306640625, -0.312255859375, -0.317626953125, 0.06329345703125, -0.256591796875, 0.921875, 0.58935546875, -0.560546875, 0.09320068359375, 0.45361328125, -0.17138671875, -0.219970703125, 0.1383056640625, -0.51123046875, -0.38232421875, -0.08642578125, 0.1832275390625, 0.333251953125, 0.2098388671875, 0.444580078125, 0.5146484375, 0.60546875, -0.9345703125, -0.50634765625, -0.083251953125, 0.7451171875, 0.52685546875, 0.517578125, 0.2078857421875, -0.4208984375, -0.37060546875, -0.53857421875, -0.138427734375, 0.71875, 0.7216796875, -0.71484375, 0.47119140625, 0.6572265625, -0.8232421875, 0.693359375, -0.6083984375, 0.3251953125, 1.2197265625, -0.470947265625, 0.748046875, -0.45556640625, 0.1661376953125, 0.003871917724609375, -0.06329345703125, 0.215087890625, 0.3017578125, 0.1771240234375, -0.5869140625, -0.402587890625, -0.283935546875, -0.436279296875, 0.2705078125, -0.31201171875, -0.447998046875, -0.286376953125, -0.37744140625, -0.61181640625, 0.556640625, 0.80126953125, 0.7353515625, -0.07958984375, 0.5888671875, 0.55224609375, 0.231201171875, 0.64306640625, -0.424072265625, 0.193359375, -0.74560546875, 1.0498046875, 0.219970703125, -0.370361328125, -0.31103515625, 0.06842041015625, 0.134033203125, -0.0318603515625, 0.04583740234375, -0.150634765625, -1.10546875, -0.035491943359375, -0.2117919921875, 0.9013671875, -0.53857421875, -0.3330078125, -0.71142578125, 0.6650390625, 0.042327880859375, -0.81298828125, 0.42724609375, -0.9697265625, 0.85888671875, 0.6865234375, -0.11370849609375, -0.474365234375, -0.49169921875, -0.93603515625, -0.6552734375, 0.22216796875, 0.339599609375, -0.69775390625, -0.09393310546875, -0.85693359375, 0.5322265625, 0.2437744140625, -0.19482421875, -0.034759521484375, -0.230224609375, 0.52392578125, -0.018585205078125, 0.74658203125, -0.2218017578125, -0.69580078125, 0.39990234375, -1.0693359375, 0.62646484375, -0.61181640625, 0.6591796875, -0.1881103515625, -0.293701171875, -0.051544189453125, 0.34765625, -0.438720703125, 0.1951904296875, 0.07708740234375, 0.054290771484375, -0.8955078125, -0.59814453125, 0.350341796875, -0.463623046875, -0.1331787109375, 0.43017578125, 0.27001953125, -0.0667724609375, 0.34716796875, 0.17431640625, -0.256103515625, 0.45947265625, -0.7841796875, 0.92578125, -0.487548828125, -0.56103515625, -0.08416748046875, -0.395263671875, 0.54736328125, -0.197998046875, -0.64208984375, -0.468017578125, -1.240234375, -0.02337646484375, -0.182373046875, -0.33447265625, 0.51171875, 0.42724609375, -0.305908203125, -0.00287628173828125, -0.345703125, -0.343017578125, -0.2032470703125, -0.82861328125, -0.476806640625, 0.14990234375, -0.03204345703125, 0.84375, -0.0285797119140625, -0.40869140625, 0.04217529296875, 0.12158203125, -0.014739990234375, -0.491943359375, -0.2288818359375, -0.006732940673828125, 0.19140625, -0.544921875, 0.286376953125, -0.1356201171875, 0.7119140625, 1.1845703125, -0.111328125, 0.236572265625, 0.2001953125, -0.302001953125, 1.0380859375, 0.076171875, -0.94189453125, -0.342041015625, 0.449462890625, 0.1019287109375, 0.70068359375, 0.7080078125, -1.3203125, -0.357666015625, -0.6396484375, 0.64208984375, -0.73291015625, -0.11920166015625, -1.390625, -0.33544921875, -0.47998046875, 0.5986328125, -0.0845947265625, -0.6044921875, 0.263427734375, -0.78369140625, 0.129638671875, -0.77685546875, -0.49169921875, -0.6259765625, -0.75732421875, 0.0506591796875, 0.86181640625, 0.343994140625, 0.52099609375, 0.06829833984375, -0.34619140625, 0.393310546875, -0.302734375, -0.81787109375, -0.52783203125, -0.393798828125, 0.1746826171875, -0.1689453125, 0.00836944580078125, -0.7548828125, 0.79833984375, -0.6953125, 0.0972900390625, -0.32568359375, -0.1875, -0.264892578125, 0.017913818359375, 1.013671875, -0.8916015625, 0.2188720703125, -0.405029296875, 0.6494140625, 0.5595703125, -0.359130859375, 0.09271240234375, -0.5751953125, -0.83984375, -1.0537109375, 0.6162109375, -0.329345703125, 0.235595703125, -0.9306640625, 0.220458984375, 0.82470703125, -0.68701171875, 0.352783203125, 0.99755859375, 0.40966796875, 0.58544921875, -0.61328125, 0.92333984375, 0.58154296875, -0.217529296875, -0.011749267578125, -0.07391357421875, -0.69140625, 0.0216064453125, -0.210205078125, -0.740234375, -0.44775390625, 0.338134765625, 1.4228515625, 0.03009033203125, 0.78466796875, -0.083251953125, -0.89501953125, -0.74755859375, 0.63427734375, 0.117919921875, 0.37890625, 1.107421875, -0.2705078125, -0.112060546875, 0.37548828125, 0.10211181640625, -0.232177734375, -0.43310546875, 0.98388671875, -0.15673828125, -0.62353515625, 0.63671875, 1.044921875, -1.0947265625, -1.0654296875, -0.34375, -0.1259765625, -0.724609375, -0.55810546875, 0.135009765625, 0.80029296875, -0.95751953125, -0.15185546875, 0.40185546875, -0.2705078125, 0.61767578125, -0.128173828125, 0.267333984375, -0.343505859375, 0.53759765625, 0.76025390625, -0.5947265625, -0.072021484375, -1.046875, -0.32275390625, -0.1561279296875, 0.36181640625, 0.77392578125, -0.638671875, -0.2271728515625, 0.425537109375, 0.003429412841796875, 0.716796875, 0.09033203125, -0.088623046875, 0.07958984375, -0.8974609375, -0.50146484375, 0.28125, 0.375, -0.56103515625, 0.6484375, -0.62255859375, 0.05767822265625, 0.63037109375, 0.58203125, -0.448486328125, -0.93115234375, 0.15234375, -1.0849609375, -0.52490234375, -0.81005859375, -0.360107421875, -0.35009765625, 0.346435546875, -0.026123046875, -0.580078125, 0.0189666748046875, 0.28173828125, -0.54052734375, 0.64892578125, -0.220458984375, 0.424560546875, -0.61181640625, -0.377197265625, -0.87939453125, -0.287841796875, -0.385498046875, -0.3857421875, -0.344970703125, 0.77294921875, -0.1390380859375, 0.409912109375, -0.0831298828125, 0.451416015625, -0.326904296875, -1.060546875, -0.19775390625, -0.1700439453125, -0.1531982421875, 0.462158203125, 0.46240234375, 0.352783203125, 0.59814453125, -0.1856689453125, -0.42041015625, -0.22216796875, 0.83935546875, 0.615234375, -0.34375, -0.08734130859375, -0.458740234375, 0.06378173828125, -0.8134765625, 0.2183837890625, -0.619140625, 0.325927734375, 0.00955963134765625, -0.283447265625, 0.283203125, 1.142578125, 0.0802001953125, 0.2208251953125, 0.082763671875, 0.1826171875, 0.6943359375, -0.384521484375, 0.268798828125, 0.411865234375, -0.265380859375, 0.0853271484375, -0.061798095703125, 0.4697265625, 0.231689453125, 0.1280517578125, -0.26904296875, -0.490478515625, -0.81640625, -0.416259765625, 0.2939453125, 0.54150390625, -0.0056915283203125, -0.275146484375, 0.0016355514526367188, 0.050689697265625, -0.287109375, 0.06976318359375, -1.2138671875, -0.583984375, 0.6328125, -0.51318359375, -0.7529296875, -0.279296875, -0.310302734375, -0.391357421875, -0.007007598876953125, 0.68310546875, -0.126708984375, 0.326416015625, 0.2166748046875, 0.334228515625, -0.044342041015625, -0.300048828125, 0.397705078125, 0.54541015625, -0.59619140625, -0.3017578125, 0.381103515625, 1.0185546875, 0.1727294921875, -0.489501953125, -0.6943359375, 0.0509033203125, 0.180419921875, 0.019775390625, -0.197509765625, -0.018524169921875, -0.44482421875, 0.475341796875, -0.7216796875, 0.06365966796875, -0.0236053466796875, 0.52197265625, 0.28369140625, -0.61865234375, -0.7314453125, 1.2275390625, 0.423095703125, -0.5078125, 0.400146484375, 0.33056640625, 0.370849609375, -0.2900390625, -0.0946044921875, -0.14111328125, 0.52490234375, 0.77685546875, 0.40673828125, 0.039642333984375, 0.2060546875, 0.71240234375, 0.38671875, -0.06597900390625, -0.1375732421875, 0.2308349609375, -0.1519775390625, 0.46875, -0.363525390625, -0.5546875, -0.1103515625, -0.482421875, 0.137939453125, -0.28662109375, 0.1263427734375, -0.242431640625, -0.38525390625, 0.6484375, -0.59814453125, 0.225341796875, 0.365966796875, -0.6005859375, 0.2440185546875, 0.79736328125, -0.158203125, -0.361083984375, 0.7392578125, 0.5283203125, 0.638671875, 0.84375, 0.734375, 0.1263427734375, -0.5322265625, 0.437255859375, 0.029296875, 0.1810302734375, -0.230224609375, -0.69189453125, -0.68017578125, -0.02056884765625, -0.268798828125, -0.15478515625, 0.6015625, -0.359619140625, 0.0095062255859375, -0.021026611328125, 1.009765625, -0.10638427734375, 0.323974609375, 0.427001953125, -0.5244140625, -0.6748046875, 0.9423828125, -0.5068359375, 0.57373046875, -0.2059326171875, 1.095703125, 0.07720947265625, 1.2412109375, 0.46533203125, -0.3984375, -0.00527191162109375, 0.4658203125, -0.255859375, -0.82958984375, -0.355224609375, -0.050201416015625, 0.476318359375, -0.261962890625, -0.432861328125, 0.07366943359375, 0.7861328125, 0.2081298828125, -0.73095703125, -0.23974609375, 0.06109619140625, -0.716796875, 0.24072265625, 0.11273193359375, 0.0020999908447265625, 0.02178955078125, -0.0794677734375, 0.372314453125, -1.0322265625, -0.0633544921875, -0.4541015625, 0.556640625, -0.49169921875, -0.2476806640625, -1.1376953125, -0.74658203125, -0.1741943359375, 0.0278778076171875, -0.31298828125, -0.9677734375, 0.61328125, 0.479248046875, 0.54150390625, 0.5185546875, -0.08917236328125, 0.24169921875, 1.0537109375, 0.890625, -0.07177734375, 0.491943359375, 0.2369384765625, -0.2177734375, 0.174072265625, -0.5498046875, 0.31494140625, 0.1424560546875, 0.035980224609375, -0.278076171875, -0.126953125, -0.701171875, -1.05859375, 0.2071533203125, 0.90380859375, 0.5615234375, -0.47802734375, -0.73779296875, -0.3466796875, -1.0849609375, -0.08673095703125, -0.64892578125, 0.54833984375, 0.056396484375, -0.1480712890625, 0.197509765625, -0.994140625, 4.3984375, 1.1396484375, 1.1953125, 0.34716796875, 0.055633544921875, 1.056640625, 0.4736328125, -0.20703125, -0.20556640625, -0.3564453125, 0.533203125, -0.285888671875, 0.30810546875, 0.96875, 0.232421875, 0.2646484375, -0.67578125, 0.0197296142578125, -0.1368408203125, -1.0439453125, -0.6669921875, 0.1708984375, -0.14453125, 0.810546875, -0.4072265625, 0.271728515625, 0.1297607421875, -0.75390625, 0.119873046875, -0.462646484375, -0.17431640625, -0.341064453125, 0.748046875, -0.229248046875, -0.028167724609375, 0.44921875, 0.00887298583984375, -0.53076171875, -0.2607421875, 0.056854248046875, 0.255126953125, 0.337890625, 0.1270751953125, -0.8359375, 0.226318359375, 0.400146484375, -0.572265625, 0.40673828125, 0.414306640625, -0.9267578125, 1.029296875, -0.453369140625, 0.390380859375, -0.91064453125, -0.57861328125, 0.283935546875, 0.025482177734375, -0.2147216796875, -0.396240234375, 0.67431640625, 0.484619140625, 0.21044921875, 0.1644287109375, 0.0604248046875, -0.7919921875, 1.0009765625, -0.59716796875, 0.59228515625, -0.71533203125, -0.38720703125, -0.301513671875, -0.486328125, 0.0080718994140625, -0.689453125, 0.69287109375, -0.16455078125, -0.355224609375, 0.59228515625, 0.25244140625, -0.86962890625, 0.0992431640625, -0.189208984375, -0.654296875, -0.5263671875, 0.332763671875, 0.88134765625, -0.40869140625, -0.2259521484375, 0.097900390625, 0.62060546875, 0.623046875, 0.36572265625, 0.08551025390625, -0.5810546875, -0.33251953125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Tags: *special, binary search, brute force, data structures, strings Correct Solution: ``` #copied... idea def main(): mode="filee" if mode=="file":f=open("test.txt","r") get = lambda :[int(x) for x in (f.readline() if mode=="file" else input()).split()] gets = lambda :[str(x) for x in (f.readline() if mode=="file" else input()).split()] [k]=get() [g]=gets() h = g*k h = list(h) p = [] for i in range(128): p.append([0]) for i in range(len(h)): p[ord(h[i])].append(i) [n]=get() for i in range(n): [x,y]=gets() x = int(x) h[p[ord(y)][x]]='' p[ord(y)].pop(x) print("".join(h)) if mode=="file":f.close() if __name__=="__main__": main() ```
7,823
[ 0.124267578125, -0.231201171875, 0.317626953125, 0.37939453125, -0.168701171875, -0.493896484375, -0.5458984375, -0.509765625, 0.38134765625, 0.666015625, 1.224609375, -0.3515625, 0.07220458984375, -0.8876953125, -0.7275390625, 0.00829315185546875, -0.599609375, -0.65869140625, -0.54052734375, -0.2919921875, 0.193115234375, -0.15771484375, -1.193359375, -0.337890625, -0.36083984375, 0.935546875, 0.0958251953125, -0.318603515625, 1.0126953125, 1.119140625, -0.400634765625, -0.5146484375, 0.85400390625, -0.81005859375, -0.300537109375, -0.26708984375, 0.40771484375, -0.6005859375, -0.5703125, -0.226806640625, 0.1507568359375, -0.55517578125, 0.39501953125, -0.69580078125, -1.2490234375, 0.06414794921875, -0.68798828125, -0.157470703125, -0.59228515625, -0.623046875, -0.052276611328125, -0.1749267578125, 0.89892578125, -0.1083984375, -0.17578125, -0.309326171875, -0.057220458984375, -0.432861328125, -0.439208984375, 0.343017578125, -0.07568359375, 0.241455078125, -0.13427734375, -0.260009765625, 0.13037109375, 0.137451171875, -0.11285400390625, -0.111083984375, 0.092529296875, -0.72900390625, -0.08526611328125, 0.3408203125, -0.37158203125, -0.57861328125, -0.2132568359375, -0.328857421875, 0.1297607421875, -0.277099609375, -0.61279296875, 0.7197265625, -0.0904541015625, 0.68603515625, 0.07781982421875, 0.215087890625, -0.56591796875, -0.406982421875, 0.2286376953125, 0.26904296875, 0.03631591796875, -0.01323699951171875, -0.004390716552734375, 0.650390625, -0.437255859375, -0.2347412109375, 0.6572265625, 0.81982421875, -0.366943359375, 0.202880859375, 0.2178955078125, 0.04913330078125, 1.0341796875, 0.76904296875, -0.0966796875, 1.0361328125, -0.44140625, 0.076171875, 0.125244140625, 0.2384033203125, -0.38427734375, -0.52685546875, -0.04498291015625, -0.29150390625, 0.64892578125, 0.2314453125, -0.1226806640625, 0.88232421875, -0.040496826171875, 0.34765625, -0.57275390625, 0.0024127960205078125, 0.373779296875, -0.01102447509765625, 0.310791015625, -0.7841796875, 0.1832275390625, -0.57421875, -0.91943359375, 1.1953125, -0.348388671875, 0.17529296875, 0.25, -0.0164031982421875, -0.37109375, 0.036712646484375, -0.192626953125, 1.08203125, -0.095947265625, 0.7529296875, 0.44091796875, -0.826171875, 0.54150390625, 0.2734375, -0.09136962890625, 1.28515625, 0.61572265625, 0.62744140625, 0.60205078125, 0.49609375, -0.6494140625, 0.272216796875, -0.7529296875, 0.51513671875, 0.52587890625, 0.125732421875, -0.2257080078125, 0.341796875, -0.48095703125, 0.61572265625, 0.08099365234375, 0.308837890625, -0.396728515625, 0.346435546875, -0.034027099609375, 0.67138671875, -0.0634765625, 1.234375, -0.626953125, -0.72216796875, -0.072265625, -0.85791015625, 0.388427734375, -0.267822265625, -0.06671142578125, 0.83544921875, 0.64892578125, 0.81298828125, 0.3994140625, -0.052642822265625, 0.1322021484375, -0.132568359375, -0.46044921875, 0.533203125, 0.55029296875, 0.50048828125, 0.0200653076171875, 0.2156982421875, 0.023193359375, -0.3544921875, -0.7666015625, -0.66845703125, 0.094482421875, 0.73291015625, -0.302490234375, 0.0467529296875, 0.359375, -0.2083740234375, -0.935546875, -0.1297607421875, 0.6396484375, -1.1904296875, 0.14306640625, 0.69287109375, -0.286376953125, 0.521484375, -0.26025390625, -0.457275390625, 0.76220703125, 1.0859375, 0.11578369140625, 0.08392333984375, 0.7060546875, -0.1229248046875, -0.207275390625, -0.1197509765625, 0.09954833984375, -0.332763671875, -0.27001953125, 0.80126953125, -0.414794921875, -0.201171875, -0.080810546875, 0.75146484375, 0.1866455078125, 0.5146484375, -0.251220703125, 0.2308349609375, 0.28076171875, 1.1591796875, -0.16796875, 0.1484375, 0.2073974609375, 0.49853515625, 0.29736328125, 0.58544921875, 0.418701171875, 0.080810546875, 0.7900390625, 1.1455078125, -0.25048828125, 0.244140625, 0.301513671875, 0.5625, 0.73095703125, 0.274169921875, -0.0108642578125, 0.53564453125, 0.1552734375, 0.1722412109375, -0.266845703125, 0.2275390625, -0.65478515625, 0.353271484375, 0.13671875, -0.0256195068359375, -0.6015625, -0.1845703125, 0.451171875, 0.51904296875, -0.78662109375, -0.2042236328125, -0.7900390625, 0.286376953125, 0.68115234375, 0.0157623291015625, 0.2149658203125, 0.4365234375, 0.484130859375, 0.6884765625, -0.162353515625, -0.241943359375, -0.77880859375, -1.0107421875, -0.79443359375, -0.7578125, -0.71142578125, -0.1236572265625, -0.038177490234375, -1.09375, 0.431396484375, -0.31689453125, -0.1561279296875, 0.447021484375, -0.459716796875, 0.77587890625, -0.2349853515625, 0.7587890625, -0.86279296875, 0.6806640625, 0.010040283203125, 0.85107421875, -0.2452392578125, 0.114013671875, 0.0308837890625, -0.763671875, -0.005584716796875, -0.00504302978515625, 0.90234375, -0.1109619140625, -0.828125, -1.0400390625, -0.45654296875, 0.319091796875, -0.626953125, 0.3935546875, -0.63720703125, 0.6953125, 0.406494140625, -0.221923828125, 0.78369140625, 0.6142578125, -0.77392578125, 0.460693359375, 0.1514892578125, 0.00928497314453125, -0.89501953125, 1.0712890625, 0.5322265625, 0.78955078125, -0.64306640625, -0.61572265625, -0.57177734375, 0.06890869140625, 0.451416015625, -0.344482421875, -0.454345703125, 0.30615234375, 0.265625, -1.154296875, 0.59814453125, -0.9130859375, -0.435302734375, -0.36376953125, -0.444580078125, 0.82080078125, 1.259765625, -0.2978515625, -0.3720703125, 0.03399658203125, -0.272216796875, 0.94091796875, 0.5498046875, -0.54248046875, 0.1793212890625, 0.42529296875, -0.195556640625, -0.260009765625, 0.09002685546875, -0.505859375, -0.347412109375, -0.0836181640625, 0.1767578125, 0.31298828125, 0.15771484375, 0.435791015625, 0.49853515625, 0.603515625, -0.95556640625, -0.4619140625, -0.10565185546875, 0.6708984375, 0.499755859375, 0.5751953125, 0.205810546875, -0.458984375, -0.334716796875, -0.54638671875, -0.125244140625, 0.68115234375, 0.767578125, -0.7255859375, 0.48095703125, 0.572265625, -0.86328125, 0.6689453125, -0.60791015625, 0.364013671875, 1.2158203125, -0.41552734375, 0.78857421875, -0.4404296875, 0.146484375, 0.006011962890625, -0.0226287841796875, 0.232666015625, 0.240966796875, 0.1396484375, -0.57763671875, -0.370849609375, -0.3076171875, -0.457763671875, 0.234619140625, -0.3056640625, -0.430419921875, -0.208251953125, -0.330810546875, -0.72412109375, 0.59423828125, 0.8095703125, 0.70458984375, -0.07391357421875, 0.5498046875, 0.5283203125, 0.268310546875, 0.6650390625, -0.432373046875, 0.2454833984375, -0.77197265625, 0.984375, 0.15087890625, -0.36767578125, -0.341064453125, 0.0606689453125, 0.09539794921875, 0.03765869140625, -0.0298004150390625, -0.119140625, -1.15625, -0.034759521484375, -0.1866455078125, 0.833984375, -0.59423828125, -0.318115234375, -0.716796875, 0.66015625, 0.00550079345703125, -0.7587890625, 0.443359375, -0.95654296875, 0.8583984375, 0.65185546875, -0.187744140625, -0.4580078125, -0.50439453125, -0.955078125, -0.67529296875, 0.30029296875, 0.3193359375, -0.6337890625, -0.047027587890625, -0.8291015625, 0.5498046875, 0.2047119140625, -0.2403564453125, -0.0195770263671875, -0.28271484375, 0.5537109375, -0.000014901161193847656, 0.7578125, -0.2296142578125, -0.7255859375, 0.364501953125, -1.0341796875, 0.595703125, -0.6259765625, 0.62744140625, -0.2012939453125, -0.279541015625, -0.06427001953125, 0.343505859375, -0.44384765625, 0.14013671875, 0.11944580078125, 0.0767822265625, -0.85791015625, -0.6044921875, 0.3642578125, -0.496337890625, -0.1414794921875, 0.421142578125, 0.2998046875, -0.046173095703125, 0.35107421875, 0.180908203125, -0.2666015625, 0.43603515625, -0.8046875, 0.91796875, -0.494140625, -0.5673828125, -0.140380859375, -0.34228515625, 0.54736328125, -0.1634521484375, -0.6005859375, -0.412841796875, -1.2294921875, -0.04583740234375, -0.2320556640625, -0.29150390625, 0.5302734375, 0.41943359375, -0.27001953125, -0.06011962890625, -0.390625, -0.370361328125, -0.1883544921875, -0.79638671875, -0.50634765625, 0.1278076171875, -0.00331878662109375, 0.8505859375, -0.09539794921875, -0.352783203125, 0.0150146484375, 0.1689453125, -0.0205535888671875, -0.494140625, -0.22998046875, -0.0105438232421875, 0.185302734375, -0.56689453125, 0.26025390625, -0.1431884765625, 0.720703125, 1.134765625, -0.09228515625, 0.17919921875, 0.181640625, -0.298095703125, 1.0009765625, 0.072021484375, -0.8740234375, -0.362548828125, 0.42724609375, 0.0638427734375, 0.6982421875, 0.755859375, -1.2666015625, -0.40966796875, -0.65185546875, 0.61572265625, -0.70263671875, -0.11663818359375, -1.32421875, -0.399658203125, -0.481689453125, 0.59228515625, 0.0005159378051757812, -0.61962890625, 0.3125, -0.82275390625, 0.0943603515625, -0.7978515625, -0.498046875, -0.66650390625, -0.72998046875, 0.083984375, 0.90576171875, 0.302734375, 0.489990234375, 0.0511474609375, -0.321044921875, 0.4404296875, -0.31640625, -0.7646484375, -0.51123046875, -0.390625, 0.1610107421875, -0.192626953125, 0.03558349609375, -0.74169921875, 0.75634765625, -0.70263671875, 0.06256103515625, -0.31982421875, -0.1507568359375, -0.28125, 0.0777587890625, 1.0029296875, -0.91650390625, 0.288818359375, -0.444091796875, 0.70556640625, 0.546875, -0.321044921875, 0.058685302734375, -0.5615234375, -0.83203125, -1.048828125, 0.62841796875, -0.356689453125, 0.1607666015625, -0.93017578125, 0.201904296875, 0.78857421875, -0.7392578125, 0.348388671875, 1.0087890625, 0.387451171875, 0.48486328125, -0.57275390625, 0.95263671875, 0.56298828125, -0.2200927734375, -0.07177734375, -0.0863037109375, -0.666015625, 0.049591064453125, -0.1680908203125, -0.6689453125, -0.3564453125, 0.31689453125, 1.4150390625, 0.01300811767578125, 0.8330078125, -0.033355712890625, -0.81884765625, -0.72509765625, 0.6787109375, 0.1204833984375, 0.3984375, 1.083984375, -0.258056640625, -0.0745849609375, 0.408203125, 0.0440673828125, -0.251220703125, -0.424560546875, 1.0087890625, -0.2147216796875, -0.60498046875, 0.60986328125, 1.078125, -1.1376953125, -1.0400390625, -0.34716796875, -0.08721923828125, -0.77392578125, -0.50537109375, 0.16162109375, 0.8046875, -0.98828125, -0.11932373046875, 0.384521484375, -0.27294921875, 0.6376953125, -0.1312255859375, 0.204833984375, -0.333984375, 0.490966796875, 0.76708984375, -0.59521484375, -0.0958251953125, -1.03125, -0.247314453125, -0.195556640625, 0.390380859375, 0.806640625, -0.6416015625, -0.2171630859375, 0.3974609375, -0.0002639293670654297, 0.74658203125, 0.11328125, -0.0849609375, 0.03204345703125, -0.89697265625, -0.45703125, 0.2498779296875, 0.34765625, -0.55908203125, 0.60693359375, -0.64453125, 0.0479736328125, 0.66357421875, 0.54931640625, -0.378173828125, -0.97119140625, 0.1370849609375, -1.087890625, -0.50830078125, -0.81982421875, -0.40283203125, -0.355712890625, 0.309814453125, 0.03143310546875, -0.60205078125, -0.01910400390625, 0.279541015625, -0.54345703125, 0.658203125, -0.25830078125, 0.4013671875, -0.60546875, -0.427978515625, -0.84521484375, -0.2293701171875, -0.300048828125, -0.419921875, -0.337890625, 0.75390625, -0.1243896484375, 0.437744140625, -0.0352783203125, 0.429443359375, -0.320068359375, -1.1240234375, -0.153564453125, -0.18310546875, -0.12286376953125, 0.5234375, 0.47509765625, 0.325439453125, 0.6591796875, -0.2100830078125, -0.4736328125, -0.25146484375, 0.826171875, 0.59423828125, -0.36572265625, -0.060394287109375, -0.492431640625, 0.060333251953125, -0.7880859375, 0.2467041015625, -0.61376953125, 0.36279296875, -0.00787353515625, -0.2291259765625, 0.2464599609375, 1.1513671875, 0.0307159423828125, 0.208740234375, 0.051605224609375, 0.1781005859375, 0.74072265625, -0.361328125, 0.265625, 0.380859375, -0.2027587890625, 0.101318359375, -0.054656982421875, 0.4072265625, 0.203369140625, 0.08477783203125, -0.30810546875, -0.44140625, -0.78125, -0.42041015625, 0.3046875, 0.53759765625, -0.04376220703125, -0.293212890625, -0.00969696044921875, 0.062408447265625, -0.278076171875, 0.01910400390625, -1.255859375, -0.57275390625, 0.63330078125, -0.54443359375, -0.76025390625, -0.30517578125, -0.29443359375, -0.395263671875, 0.047088623046875, 0.63720703125, -0.1162109375, 0.30419921875, 0.218505859375, 0.406494140625, -0.042266845703125, -0.3076171875, 0.396240234375, 0.490478515625, -0.541015625, -0.311279296875, 0.447509765625, 1.0087890625, 0.1611328125, -0.51318359375, -0.72119140625, 0.0880126953125, 0.133544921875, 0.0290985107421875, -0.207275390625, -0.0016803741455078125, -0.457763671875, 0.484130859375, -0.63037109375, 0.1220703125, -0.07379150390625, 0.44482421875, 0.2724609375, -0.587890625, -0.71630859375, 1.23828125, 0.371337890625, -0.490234375, 0.391357421875, 0.344482421875, 0.40673828125, -0.322998046875, -0.0859375, -0.11492919921875, 0.58642578125, 0.78564453125, 0.386962890625, -0.0002148151397705078, 0.1990966796875, 0.7041015625, 0.3544921875, -0.15673828125, -0.1405029296875, 0.2449951171875, -0.2049560546875, 0.447509765625, -0.298095703125, -0.619140625, -0.173095703125, -0.50439453125, 0.1939697265625, -0.263916015625, 0.12164306640625, -0.222900390625, -0.4033203125, 0.63623046875, -0.556640625, 0.175048828125, 0.374267578125, -0.61865234375, 0.2257080078125, 0.79931640625, -0.16943359375, -0.316162109375, 0.7744140625, 0.58154296875, 0.60205078125, 0.7802734375, 0.724609375, 0.1480712890625, -0.57275390625, 0.380126953125, 0.031829833984375, 0.1656494140625, -0.2410888671875, -0.62548828125, -0.73876953125, -0.031341552734375, -0.319091796875, -0.1383056640625, 0.59814453125, -0.381103515625, 0.01033782958984375, -0.051361083984375, 0.95361328125, -0.146484375, 0.35888671875, 0.486328125, -0.509765625, -0.67333984375, 0.888671875, -0.5068359375, 0.53271484375, -0.2381591796875, 1.0498046875, 0.07843017578125, 1.2099609375, 0.46142578125, -0.39453125, -0.01221466064453125, 0.46142578125, -0.309326171875, -0.86767578125, -0.31201171875, -0.05218505859375, 0.431640625, -0.23291015625, -0.427001953125, 0.1470947265625, 0.7158203125, 0.176513671875, -0.7197265625, -0.20654296875, 0.06939697265625, -0.7470703125, 0.2490234375, 0.165283203125, -0.036773681640625, -0.0154876708984375, -0.0511474609375, 0.374267578125, -1.0380859375, -0.043060302734375, -0.443359375, 0.54443359375, -0.494873046875, -0.287109375, -1.1455078125, -0.765625, -0.2183837890625, 0.0660400390625, -0.28857421875, -0.953125, 0.5703125, 0.48046875, 0.53515625, 0.5, -0.10980224609375, 0.228515625, 1.041015625, 0.94189453125, 0.0177154541015625, 0.53369140625, 0.251220703125, -0.23779296875, 0.1551513671875, -0.54638671875, 0.301513671875, 0.1572265625, 0.031524658203125, -0.265869140625, -0.0655517578125, -0.68017578125, -1.0380859375, 0.18359375, 0.9384765625, 0.5537109375, -0.441162109375, -0.70556640625, -0.348876953125, -1.115234375, -0.11480712890625, -0.603515625, 0.57861328125, 0.152099609375, -0.198486328125, 0.2235107421875, -0.98291015625, 4.421875, 1.0966796875, 1.2197265625, 0.447265625, 0.0780029296875, 0.98681640625, 0.48974609375, -0.138916015625, -0.25390625, -0.391845703125, 0.5322265625, -0.350830078125, 0.269775390625, 1.009765625, 0.185791015625, 0.211181640625, -0.646484375, 0.03302001953125, -0.1287841796875, -1.0546875, -0.7099609375, 0.159912109375, -0.2196044921875, 0.8505859375, -0.39599609375, 0.265625, 0.13720703125, -0.73046875, 0.1290283203125, -0.471923828125, -0.1671142578125, -0.412109375, 0.78271484375, -0.23486328125, -0.01268768310546875, 0.441650390625, -0.061309814453125, -0.50927734375, -0.26513671875, 0.039947509765625, 0.1640625, 0.36376953125, 0.054168701171875, -0.759765625, 0.251220703125, 0.4052734375, -0.5068359375, 0.396728515625, 0.471923828125, -0.8955078125, 1.044921875, -0.40771484375, 0.359619140625, -0.89599609375, -0.57080078125, 0.262939453125, 0.043853759765625, -0.201904296875, -0.36083984375, 0.67578125, 0.51025390625, 0.22900390625, 0.1593017578125, 0.07623291015625, -0.78515625, 0.955078125, -0.623046875, 0.61279296875, -0.70947265625, -0.447998046875, -0.32373046875, -0.483154296875, 0.053497314453125, -0.6962890625, 0.58349609375, -0.177490234375, -0.324951171875, 0.6015625, 0.230712890625, -0.86572265625, 0.12017822265625, -0.25634765625, -0.65966796875, -0.50634765625, 0.3466796875, 0.8447265625, -0.491455078125, -0.18896484375, 0.036468505859375, 0.5703125, 0.67431640625, 0.32470703125, 0.09600830078125, -0.5361328125, -0.27734375 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Submitted Solution: ``` n = int(input()) s = input() sens = [[]] for i in s: sens[-1].append(i) if i in ['.', '!', '?']: sens.append([]) for i in range(len(sens)): if sens[i]: sens[i] = ''.join(sens[i]) sens[i] = sens[i].strip() if len(sens[i]) > n: print('Impossible') exit(0) sens.pop() i = 0 ans = 0 while i < len(sens): l = len(sens[i]) while i + 1 < len(sens) and l + 1 + len(sens[i + 1]) <= n: i += 1 l += len(sens[i + 1]) + 1 i += 1 ans += 1 print(ans) ``` No
7,824
[ 0.206298828125, -0.2193603515625, 0.0887451171875, 0.358154296875, -0.1763916015625, -0.300537109375, -0.44189453125, -0.241455078125, 0.297607421875, 0.63525390625, 1.0322265625, -0.375, 0.06915283203125, -0.90185546875, -0.6708984375, -0.13818359375, -0.499267578125, -0.65771484375, -0.4990234375, -0.37890625, 0.1488037109375, -0.09844970703125, -1.1376953125, -0.2193603515625, -0.360107421875, 0.81787109375, 0.1292724609375, -0.334228515625, 0.970703125, 1.078125, -0.36328125, -0.5966796875, 0.951171875, -0.701171875, -0.26806640625, -0.314208984375, 0.403564453125, -0.63427734375, -0.6142578125, -0.364501953125, 0.041412353515625, -0.53857421875, 0.377197265625, -0.64404296875, -1.1875, 0.08184814453125, -0.59326171875, -0.24365234375, -0.59228515625, -0.705078125, 0.01032257080078125, -0.20263671875, 0.71826171875, -0.172607421875, -0.06585693359375, -0.1744384765625, -0.0227203369140625, -0.3173828125, -0.56201171875, 0.29541015625, -0.042388916015625, 0.432861328125, -0.1453857421875, -0.4931640625, 0.125244140625, 0.1837158203125, -0.002544403076171875, -0.1553955078125, 0.111083984375, -0.48828125, -0.2459716796875, 0.1387939453125, -0.443359375, -0.501953125, -0.1544189453125, -0.2474365234375, 0.06573486328125, -0.2122802734375, -0.60888671875, 0.6572265625, -0.1505126953125, 0.8271484375, 0.06329345703125, 0.191650390625, -0.498779296875, -0.35009765625, 0.366943359375, 0.312744140625, -0.04248046875, -0.13232421875, 0.06451416015625, 0.447998046875, -0.2318115234375, -0.3359375, 0.77880859375, 0.73828125, -0.37353515625, 0.2939453125, 0.10772705078125, 0.2008056640625, 1.03125, 0.55419921875, -0.0880126953125, 1.1767578125, -0.385986328125, 0.165771484375, 0.050323486328125, 0.1463623046875, -0.43359375, -0.6591796875, -0.044219970703125, -0.31591796875, 0.64892578125, 0.281982421875, -0.21728515625, 0.73828125, -0.12432861328125, 0.29541015625, -0.6103515625, -0.0357666015625, 0.3271484375, -0.21728515625, 0.344482421875, -0.66357421875, 0.1949462890625, -0.58984375, -0.97607421875, 1.1103515625, -0.466796875, -0.00039577484130859375, 0.302001953125, -0.01568603515625, -0.46240234375, 0.02655029296875, -0.167724609375, 1.01953125, -0.050689697265625, 0.67138671875, 0.5068359375, -0.79052734375, 0.576171875, 0.2440185546875, 0.07684326171875, 1.490234375, 0.5341796875, 0.296630859375, 0.498291015625, 0.6083984375, -0.68701171875, 0.263916015625, -0.78466796875, 0.442626953125, 0.28125, 0.01360321044921875, -0.267333984375, 0.29736328125, -0.425537109375, 0.61474609375, 0.16357421875, 0.2293701171875, -0.374755859375, 0.4482421875, -0.1533203125, 0.6474609375, 0.029754638671875, 0.9970703125, -0.5146484375, -0.8310546875, -0.0325927734375, -0.7685546875, 0.2144775390625, -0.32666015625, 0.051788330078125, 0.90087890625, 0.73828125, 0.99072265625, 0.377685546875, 0.033111572265625, 0.05511474609375, -0.0875244140625, -0.344970703125, 0.409423828125, 0.5791015625, 0.7197265625, -0.037811279296875, 0.2110595703125, -0.026580810546875, -0.2391357421875, -0.57080078125, -0.5654296875, 0.1611328125, 0.7275390625, -0.32373046875, 0.10174560546875, 0.328857421875, -0.1309814453125, -0.9853515625, -0.1925048828125, 0.7392578125, -1.2177734375, -0.020660400390625, 0.7197265625, -0.292724609375, 0.62109375, -0.294921875, -0.60595703125, 0.65283203125, 1.0390625, 0.231689453125, 0.235107421875, 0.634765625, -0.01568603515625, -0.261962890625, -0.271728515625, 0.166259765625, -0.36474609375, -0.44384765625, 0.515625, -0.310546875, -0.35986328125, 0.004703521728515625, 0.791015625, 0.11456298828125, 0.51904296875, -0.426513671875, 0.207763671875, 0.340576171875, 1.375, -0.28271484375, 0.19287109375, 0.38623046875, 0.5859375, 0.434814453125, 0.84033203125, 0.4423828125, 0.0024623870849609375, 0.955078125, 1.1162109375, -0.3447265625, 0.1031494140625, 0.2548828125, 0.63037109375, 0.56103515625, 0.459716796875, -0.055694580078125, 0.50341796875, 0.1251220703125, 0.277099609375, -0.381591796875, 0.26171875, -0.77197265625, 0.291259765625, 0.0272674560546875, 0.06744384765625, -0.6064453125, -0.1658935546875, 0.40869140625, 0.43310546875, -0.748046875, -0.348388671875, -0.5966796875, 0.27880859375, 0.71435546875, 0.05224609375, 0.0860595703125, 0.282470703125, 0.408203125, 0.72412109375, -0.017852783203125, -0.292236328125, -0.716796875, -1.103515625, -0.94091796875, -0.73095703125, -0.6728515625, -0.1634521484375, -0.048553466796875, -1.0732421875, 0.262451171875, -0.50537109375, -0.1278076171875, 0.37744140625, -0.2666015625, 0.82421875, -0.306640625, 0.65380859375, -0.78125, 0.57080078125, -0.0645751953125, 0.89892578125, -0.376953125, 0.173095703125, 0.01751708984375, -0.71533203125, -0.01166534423828125, -0.051300048828125, 0.7666015625, -0.02410888671875, -0.81396484375, -1.0673828125, -0.447265625, 0.451171875, -0.4453125, 0.36767578125, -0.66943359375, 0.78271484375, 0.370849609375, -0.318603515625, 0.8076171875, 0.46337890625, -0.677734375, 0.5419921875, 0.1954345703125, 0.058349609375, -0.8525390625, 1.029296875, 0.4150390625, 0.92333984375, -0.5126953125, -0.58935546875, -0.5517578125, -0.06951904296875, 0.432373046875, -0.383544921875, -0.537109375, 0.3466796875, 0.219970703125, -1.0625, 0.634765625, -1.0419921875, -0.5869140625, -0.3076171875, -0.71337890625, 0.97314453125, 1.390625, -0.282958984375, -0.324462890625, -0.0987548828125, -0.302490234375, 0.74365234375, 0.59814453125, -0.65869140625, 0.087158203125, 0.5888671875, -0.049713134765625, -0.0819091796875, 0.203857421875, -0.5986328125, -0.496826171875, -0.1591796875, 0.07525634765625, 0.362060546875, 0.11737060546875, 0.470703125, 0.441162109375, 0.70166015625, -1.1044921875, -0.525390625, -0.1865234375, 0.7158203125, 0.425048828125, 0.5146484375, 0.39013671875, -0.3251953125, -0.4384765625, -0.548828125, -0.160400390625, 0.6474609375, 0.80126953125, -0.5205078125, 0.48876953125, 0.412109375, -0.98291015625, 0.861328125, -0.70166015625, 0.45263671875, 1.1513671875, -0.35986328125, 0.75537109375, -0.421142578125, 0.193359375, -0.09906005859375, -0.143310546875, 0.200439453125, 0.20849609375, 0.285888671875, -0.69677734375, -0.375732421875, -0.267333984375, -0.35107421875, 0.24267578125, -0.2763671875, -0.55224609375, -0.2471923828125, -0.51953125, -0.6591796875, 0.62451171875, 0.83154296875, 0.7880859375, 0.09649658203125, 0.521484375, 0.317626953125, 0.160400390625, 0.60546875, -0.39501953125, 0.163818359375, -0.7900390625, 1.017578125, 0.372802734375, -0.42236328125, -0.209228515625, 0.1328125, 0.0902099609375, -0.041473388671875, -0.053375244140625, -0.109619140625, -1.1396484375, 0.07183837890625, -0.1597900390625, 0.89404296875, -0.6953125, -0.2470703125, -0.66650390625, 0.68408203125, 0.029815673828125, -0.666015625, 0.36865234375, -0.92041015625, 0.6943359375, 0.818359375, -0.1014404296875, -0.56591796875, -0.30908203125, -1.1142578125, -0.83203125, 0.30322265625, 0.324462890625, -0.7333984375, -0.057861328125, -0.99267578125, 0.59716796875, 0.330078125, -0.3583984375, 0.0166778564453125, -0.33740234375, 0.4755859375, -0.049224853515625, 0.7041015625, -0.05999755859375, -0.626953125, 0.438720703125, -1.0419921875, 0.4404296875, -0.56640625, 0.76025390625, -0.190185546875, -0.2354736328125, 0.007793426513671875, 0.466552734375, -0.459716796875, 0.2022705078125, 0.1287841796875, 0.251708984375, -0.9931640625, -0.677734375, 0.32080078125, -0.392578125, -0.1087646484375, 0.409912109375, 0.2822265625, -0.1473388671875, 0.326416015625, 0.114013671875, -0.146484375, 0.5439453125, -0.7158203125, 0.8125, -0.41650390625, -0.464111328125, -0.01480865478515625, -0.449951171875, 0.63720703125, -0.21630859375, -0.5546875, -0.464111328125, -1.2685546875, 0.02655029296875, -0.2066650390625, -0.451171875, 0.53125, 0.377685546875, -0.20458984375, -0.189208984375, -0.305419921875, -0.402587890625, -0.1728515625, -0.71044921875, -0.494140625, 0.0928955078125, -0.055328369140625, 0.8662109375, 0.053619384765625, -0.33837890625, 0.07635498046875, -0.08233642578125, -0.0276641845703125, -0.492919921875, -0.317138671875, -0.0255279541015625, 0.0849609375, -0.58544921875, 0.35107421875, -0.1077880859375, 0.70556640625, 1.1806640625, -0.159912109375, 0.308349609375, 0.202392578125, -0.3701171875, 1.2470703125, -0.03948974609375, -1.0439453125, -0.2392578125, 0.529296875, 0.08441162109375, 0.81591796875, 0.69482421875, -1.1376953125, -0.489501953125, -0.693359375, 0.6611328125, -0.8037109375, -0.280517578125, -1.39453125, -0.3056640625, -0.51953125, 0.6982421875, -0.09576416015625, -0.54150390625, 0.1749267578125, -0.98095703125, 0.1502685546875, -0.84033203125, -0.5107421875, -0.71142578125, -0.6611328125, 0.007061004638671875, 1.0048828125, 0.286865234375, 0.53759765625, 0.042694091796875, -0.136474609375, 0.1766357421875, -0.2100830078125, -0.7275390625, -0.60205078125, -0.377685546875, -0.0306243896484375, -0.1602783203125, 0.01142120361328125, -0.693359375, 0.677734375, -0.68896484375, 0.09942626953125, -0.310791015625, -0.138427734375, -0.1600341796875, 0.0830078125, 1.06640625, -0.80712890625, 0.294189453125, -0.423828125, 0.552734375, 0.61083984375, -0.32763671875, 0.1663818359375, -0.48095703125, -0.86279296875, -1.015625, 0.64697265625, -0.340576171875, 0.18359375, -0.9462890625, 0.11328125, 0.80908203125, -0.8076171875, 0.407958984375, 0.884765625, 0.492431640625, 0.4755859375, -0.5576171875, 1.0107421875, 0.71142578125, -0.1629638671875, -0.0859375, -0.143798828125, -0.76123046875, -0.01099395751953125, -0.247802734375, -0.73388671875, -0.471435546875, 0.31787109375, 1.2529296875, -0.01209259033203125, 0.9580078125, -0.0465087890625, -0.93603515625, -0.62744140625, 0.62060546875, 0.0906982421875, 0.271240234375, 1.1220703125, -0.116455078125, -0.140869140625, 0.427978515625, 0.11419677734375, -0.2298583984375, -0.47900390625, 1.07421875, -0.287109375, -0.59814453125, 0.72021484375, 0.96533203125, -1.12109375, -1.0537109375, -0.33984375, -0.12188720703125, -0.55712890625, -0.6845703125, 0.2010498046875, 0.66552734375, -0.9111328125, -0.047607421875, 0.4248046875, -0.288330078125, 0.5830078125, -0.1405029296875, 0.354248046875, -0.40380859375, 0.474853515625, 0.927734375, -0.69384765625, -0.28515625, -1.1435546875, -0.166748046875, -0.1839599609375, 0.396728515625, 0.75390625, -0.62353515625, -0.07421875, 0.6083984375, -0.050048828125, 0.78076171875, -0.0804443359375, 0.0731201171875, 0.01151275634765625, -1.060546875, -0.438720703125, 0.12396240234375, 0.49560546875, -0.48779296875, 0.693359375, -0.73974609375, 0.044952392578125, 0.61376953125, 0.65869140625, -0.43017578125, -0.8583984375, 0.09173583984375, -1.0498046875, -0.51220703125, -0.7861328125, -0.2310791015625, -0.295166015625, 0.286865234375, 0.05621337890625, -0.513671875, 0.045623779296875, 0.3896484375, -0.4716796875, 0.630859375, -0.26513671875, 0.322998046875, -0.67626953125, -0.209716796875, -0.8837890625, -0.240478515625, -0.4052734375, -0.438232421875, -0.158935546875, 0.83740234375, -0.159912109375, 0.369384765625, -0.141845703125, 0.4150390625, -0.291015625, -0.7021484375, -0.1177978515625, -0.0379638671875, -0.310546875, 0.529296875, 0.45263671875, 0.35791015625, 0.55029296875, -0.326171875, -0.26318359375, -0.17626953125, 0.94384765625, 0.51123046875, -0.231689453125, -0.04742431640625, -0.287109375, -0.051727294921875, -0.88330078125, 0.2235107421875, -0.55908203125, 0.373046875, 0.0024890899658203125, -0.2091064453125, 0.3330078125, 1.0712890625, 0.0081634521484375, 0.1627197265625, 0.1927490234375, 0.2578125, 0.6142578125, -0.354736328125, 0.29248046875, 0.398681640625, -0.30908203125, 0.0029735565185546875, 0.0643310546875, 0.473388671875, 0.1585693359375, 0.0775146484375, -0.3349609375, -0.56591796875, -1.001953125, -0.31298828125, 0.2044677734375, 0.5263671875, 0.1253662109375, -0.2060546875, -0.000005185604095458984, 0.043548583984375, -0.345458984375, 0.1270751953125, -1.4755859375, -0.71875, 0.7890625, -0.436279296875, -0.86669921875, -0.1318359375, -0.29736328125, -0.1934814453125, 0.05242919921875, 0.5986328125, -0.1326904296875, 0.1605224609375, 0.192138671875, 0.303955078125, -0.086669921875, -0.28955078125, 0.32470703125, 0.464599609375, -0.65185546875, -0.315185546875, 0.300537109375, 0.87158203125, 0.0733642578125, -0.53759765625, -0.8017578125, 0.048675537109375, 0.1322021484375, -0.018951416015625, -0.2054443359375, -0.0210418701171875, -0.435302734375, 0.6396484375, -0.54541015625, 0.1561279296875, -0.06402587890625, 0.492431640625, 0.10552978515625, -0.56884765625, -0.8173828125, 1.1123046875, 0.54638671875, -0.50537109375, 0.5771484375, 0.2900390625, 0.39208984375, -0.164794921875, -0.129150390625, -0.1912841796875, 0.58642578125, 0.7587890625, 0.5107421875, 0.106201171875, 0.419189453125, 0.685546875, 0.38427734375, 0.07415771484375, 0.006336212158203125, 0.09051513671875, -0.197998046875, 0.54345703125, -0.3984375, -0.56103515625, 0.0200958251953125, -0.3828125, 0.06610107421875, -0.322265625, 0.1636962890625, -0.28759765625, -0.336669921875, 0.6591796875, -0.53759765625, 0.261474609375, 0.2822265625, -0.724609375, 0.410888671875, 0.759765625, -0.07086181640625, -0.282958984375, 0.8515625, 0.7001953125, 0.57177734375, 0.8828125, 0.69189453125, 0.0562744140625, -0.77880859375, 0.31689453125, 0.299072265625, 0.12158203125, -0.07122802734375, -0.6513671875, -0.96630859375, 0.1583251953125, -0.20556640625, -0.15380859375, 0.42041015625, -0.496826171875, 0.058807373046875, 0.0865478515625, 1.0556640625, -0.20703125, 0.31005859375, 0.347900390625, -0.55126953125, -0.6435546875, 0.92578125, -0.412109375, 0.533203125, -0.10736083984375, 0.93017578125, 0.120849609375, 1.2744140625, 0.67236328125, -0.250732421875, -0.0115509033203125, 0.58056640625, -0.1724853515625, -0.71337890625, -0.251953125, -0.052032470703125, 0.39306640625, -0.31982421875, -0.51416015625, 0.0518798828125, 0.82958984375, 0.40966796875, -0.65869140625, -0.389892578125, -0.0253753662109375, -0.58740234375, 0.501953125, -0.008392333984375, 0.1405029296875, 0.06890869140625, 0.0341796875, 0.27392578125, -1.060546875, -0.049713134765625, -0.4287109375, 0.60791015625, -0.46484375, -0.301513671875, -1.169921875, -0.7255859375, -0.11517333984375, 0.07733154296875, -0.3369140625, -0.9228515625, 0.6416015625, 0.5537109375, 0.35595703125, 0.352783203125, -0.09417724609375, 0.2041015625, 1.0439453125, 0.837890625, -0.187255859375, 0.5302734375, 0.2490234375, -0.312744140625, -0.07550048828125, -0.58837890625, 0.348388671875, 0.229248046875, 0.083251953125, -0.33837890625, -0.1439208984375, -0.85986328125, -1.033203125, 0.116455078125, 0.8310546875, 0.53369140625, -0.544921875, -0.82666015625, -0.650390625, -1.0087890625, -0.0494384765625, -0.68994140625, 0.564453125, 0.03570556640625, -0.1915283203125, 0.12841796875, -0.89697265625, 4.375, 1.138671875, 1.115234375, 0.2176513671875, 0.247802734375, 0.9794921875, 0.556640625, -0.323486328125, -0.09344482421875, -0.47216796875, 0.3798828125, -0.2259521484375, 0.264892578125, 1.0751953125, 0.2059326171875, 0.3173828125, -0.640625, -0.2247314453125, -0.0178985595703125, -0.97998046875, -0.75390625, 0.05133056640625, 0.0169830322265625, 0.65771484375, -0.322509765625, 0.34033203125, 0.330078125, -0.77880859375, -0.0187835693359375, -0.466064453125, -0.06298828125, -0.314208984375, 0.86181640625, -0.11871337890625, -0.0338134765625, 0.4765625, 0.09515380859375, -0.509765625, -0.257080078125, 0.1768798828125, 0.164306640625, 0.365478515625, 0.20458984375, -0.72265625, 0.153564453125, 0.58154296875, -0.61328125, 0.466552734375, 0.421875, -1.0732421875, 1.0400390625, -0.3779296875, 0.496826171875, -0.876953125, -0.578125, 0.3544921875, 0.0513916015625, -0.118896484375, -0.458984375, 0.59130859375, 0.29638671875, 0.26708984375, -0.02691650390625, 0.412353515625, -0.9267578125, 0.98486328125, -0.421875, 0.414306640625, -0.82373046875, -0.34423828125, -0.467529296875, -0.6318359375, -0.07818603515625, -0.8056640625, 0.6865234375, -0.0753173828125, -0.4296875, 0.50146484375, 0.31787109375, -0.76416015625, 0.1295166015625, -0.341064453125, -0.642578125, -0.73828125, 0.388916015625, 0.77490234375, -0.34814453125, -0.16015625, 0.11773681640625, 0.73779296875, 0.673828125, 0.41162109375, 0.2215576171875, -0.5703125, -0.51171875 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Submitted Solution: ``` n = int(input()) t = input() l = len(t[0]) m = int(input()) q = {c: [] for c in 'abcdefghijklmnopqrstuvwxyz'} for j, c in enumerate(t): q[c].append(j) q = {c: [i + j for i in range(0, n * l, l) for j in q[c]] for c in q} t = n * list(t) for i in range(m): j, c = input().split() t[q[c].pop(int(j) - 1)] = '' print(''.join(t)) ``` No
7,825
[ 0.19189453125, -0.24169921875, 0.0867919921875, 0.3232421875, -0.2054443359375, -0.305419921875, -0.482421875, -0.302734375, 0.31787109375, 0.63427734375, 1.0302734375, -0.34228515625, 0.07952880859375, -0.896484375, -0.68359375, -0.1173095703125, -0.51513671875, -0.65283203125, -0.52490234375, -0.373779296875, 0.1424560546875, -0.095703125, -1.14453125, -0.23095703125, -0.35986328125, 0.7998046875, 0.0946044921875, -0.361328125, 0.990234375, 1.0673828125, -0.389892578125, -0.58251953125, 0.92431640625, -0.67041015625, -0.247314453125, -0.33740234375, 0.341796875, -0.5634765625, -0.63818359375, -0.34228515625, 0.0672607421875, -0.490478515625, 0.395263671875, -0.5908203125, -1.21875, 0.0362548828125, -0.62060546875, -0.2178955078125, -0.60009765625, -0.70166015625, 0.000013649463653564453, -0.209228515625, 0.7236328125, -0.129638671875, -0.08514404296875, -0.2249755859375, -0.04974365234375, -0.322509765625, -0.57177734375, 0.264892578125, 0.01541900634765625, 0.408203125, -0.16796875, -0.40283203125, 0.0869140625, 0.1287841796875, -0.01174163818359375, -0.13330078125, 0.092041015625, -0.48876953125, -0.2239990234375, 0.1851806640625, -0.451904296875, -0.48779296875, -0.196533203125, -0.24462890625, 0.06463623046875, -0.18701171875, -0.6376953125, 0.68896484375, -0.09912109375, 0.81396484375, 0.037628173828125, 0.1641845703125, -0.5537109375, -0.3857421875, 0.361328125, 0.273193359375, -0.03204345703125, -0.1358642578125, 0.01557159423828125, 0.456298828125, -0.213134765625, -0.281982421875, 0.74462890625, 0.74560546875, -0.3740234375, 0.305419921875, 0.0848388671875, 0.1683349609375, 1.060546875, 0.5244140625, -0.058929443359375, 1.1650390625, -0.398193359375, 0.1602783203125, 0.05914306640625, 0.1859130859375, -0.387451171875, -0.6748046875, 0.0179595947265625, -0.297119140625, 0.68115234375, 0.22412109375, -0.1591796875, 0.7041015625, -0.10894775390625, 0.287841796875, -0.5830078125, -0.067626953125, 0.34130859375, -0.2286376953125, 0.34619140625, -0.65673828125, 0.254638671875, -0.57421875, -0.99853515625, 1.115234375, -0.396728515625, -0.00739288330078125, 0.355224609375, 0.0251922607421875, -0.50048828125, -0.082275390625, -0.13232421875, 1.041015625, -0.0560302734375, 0.67333984375, 0.460205078125, -0.74755859375, 0.5625, 0.261962890625, 0.055633544921875, 1.4599609375, 0.55126953125, 0.297119140625, 0.44091796875, 0.61474609375, -0.671875, 0.226806640625, -0.7568359375, 0.51904296875, 0.287109375, 0.004100799560546875, -0.2305908203125, 0.307373046875, -0.4677734375, 0.6318359375, 0.200927734375, 0.2449951171875, -0.41650390625, 0.41796875, -0.1422119140625, 0.66552734375, 0.045928955078125, 0.97998046875, -0.5419921875, -0.84716796875, -0.0229034423828125, -0.72314453125, 0.23779296875, -0.339599609375, 0.003795623779296875, 0.88037109375, 0.701171875, 0.935546875, 0.379150390625, 0.0177459716796875, -0.00896453857421875, -0.0892333984375, -0.33251953125, 0.46484375, 0.54541015625, 0.6884765625, -0.04388427734375, 0.1851806640625, 0.0106353759765625, -0.25146484375, -0.62109375, -0.60302734375, 0.1988525390625, 0.6669921875, -0.334716796875, 0.1116943359375, 0.300048828125, -0.144287109375, -0.97314453125, -0.17919921875, 0.68017578125, -1.248046875, -0.005451202392578125, 0.6845703125, -0.258056640625, 0.5927734375, -0.276123046875, -0.5927734375, 0.6494140625, 1.0869140625, 0.230224609375, 0.2437744140625, 0.62744140625, 0.0032978057861328125, -0.262939453125, -0.271240234375, 0.1917724609375, -0.39111328125, -0.37255859375, 0.537109375, -0.356201171875, -0.32763671875, -0.01715087890625, 0.8017578125, 0.1298828125, 0.529296875, -0.484375, 0.166015625, 0.344482421875, 1.3232421875, -0.27880859375, 0.2127685546875, 0.375732421875, 0.607421875, 0.43994140625, 0.771484375, 0.38671875, -0.0112457275390625, 0.90771484375, 1.10546875, -0.414306640625, 0.1241455078125, 0.3037109375, 0.55908203125, 0.5908203125, 0.3857421875, -0.0156097412109375, 0.491943359375, 0.12127685546875, 0.25341796875, -0.383056640625, 0.271484375, -0.77490234375, 0.273193359375, 0.04888916015625, 0.0556640625, -0.6083984375, -0.1751708984375, 0.40869140625, 0.384033203125, -0.71142578125, -0.320068359375, -0.6328125, 0.283203125, 0.73291015625, 0.0499267578125, 0.048309326171875, 0.295654296875, 0.411865234375, 0.66552734375, -0.0174713134765625, -0.298095703125, -0.6982421875, -1.1572265625, -0.92724609375, -0.7685546875, -0.67236328125, -0.1556396484375, -0.0887451171875, -1.0068359375, 0.269287109375, -0.45947265625, -0.1544189453125, 0.298828125, -0.2193603515625, 0.83349609375, -0.274169921875, 0.64306640625, -0.7900390625, 0.56494140625, -0.0787353515625, 0.85302734375, -0.330078125, 0.211181640625, 0.046142578125, -0.70654296875, -0.0024261474609375, -0.061920166015625, 0.76904296875, -0.01055145263671875, -0.78369140625, -1.0458984375, -0.43505859375, 0.448974609375, -0.456298828125, 0.34326171875, -0.650390625, 0.7578125, 0.300048828125, -0.361572265625, 0.75390625, 0.498046875, -0.6865234375, 0.488037109375, 0.184814453125, 0.051971435546875, -0.849609375, 1.0791015625, 0.4697265625, 0.91015625, -0.53857421875, -0.603515625, -0.56201171875, -0.04034423828125, 0.4580078125, -0.3798828125, -0.53759765625, 0.303466796875, 0.2362060546875, -1.091796875, 0.58447265625, -1.02734375, -0.53515625, -0.3046875, -0.72021484375, 0.94384765625, 1.40625, -0.265625, -0.276611328125, -0.05633544921875, -0.309814453125, 0.78466796875, 0.59912109375, -0.66552734375, 0.05914306640625, 0.5625, -0.05206298828125, -0.10333251953125, 0.216796875, -0.560546875, -0.509765625, -0.1466064453125, 0.12103271484375, 0.330078125, 0.12939453125, 0.4814453125, 0.427978515625, 0.62939453125, -1.0810546875, -0.5078125, -0.1549072265625, 0.74267578125, 0.460205078125, 0.52490234375, 0.337646484375, -0.283447265625, -0.449951171875, -0.53857421875, -0.1839599609375, 0.72509765625, 0.75244140625, -0.5263671875, 0.47509765625, 0.4169921875, -0.95654296875, 0.85693359375, -0.65625, 0.419189453125, 1.1533203125, -0.35498046875, 0.69384765625, -0.445556640625, 0.17236328125, -0.1270751953125, -0.1766357421875, 0.1256103515625, 0.193359375, 0.279052734375, -0.6533203125, -0.345947265625, -0.199462890625, -0.358642578125, 0.26513671875, -0.264404296875, -0.5078125, -0.26025390625, -0.5107421875, -0.60693359375, 0.654296875, 0.79736328125, 0.7978515625, 0.0716552734375, 0.5615234375, 0.357666015625, 0.174072265625, 0.61572265625, -0.360107421875, 0.1348876953125, -0.755859375, 1.0107421875, 0.34716796875, -0.40380859375, -0.19970703125, 0.1414794921875, 0.0987548828125, -0.0179901123046875, -0.038543701171875, -0.090576171875, -1.125, 0.0113372802734375, -0.127685546875, 0.9111328125, -0.69482421875, -0.196533203125, -0.72509765625, 0.6376953125, 0.00763702392578125, -0.6650390625, 0.37060546875, -0.9609375, 0.72412109375, 0.767578125, -0.08843994140625, -0.5732421875, -0.300537109375, -1.125, -0.8427734375, 0.312744140625, 0.29541015625, -0.75830078125, -0.08795166015625, -0.98193359375, 0.576171875, 0.30224609375, -0.239013671875, 0.05413818359375, -0.3173828125, 0.4736328125, -0.03704833984375, 0.63623046875, -0.12139892578125, -0.58740234375, 0.429931640625, -1.0341796875, 0.444091796875, -0.53955078125, 0.79248046875, -0.1463623046875, -0.238037109375, -0.0194244384765625, 0.46484375, -0.4296875, 0.1802978515625, 0.1796875, 0.2071533203125, -0.95263671875, -0.66455078125, 0.328369140625, -0.3701171875, -0.1021728515625, 0.404541015625, 0.31689453125, -0.12115478515625, 0.348388671875, 0.1431884765625, -0.1888427734375, 0.53515625, -0.70263671875, 0.84716796875, -0.4091796875, -0.455810546875, 0.025543212890625, -0.442138671875, 0.640625, -0.2371826171875, -0.5576171875, -0.466552734375, -1.2861328125, 0.07257080078125, -0.18017578125, -0.435791015625, 0.49462890625, 0.412841796875, -0.255859375, -0.1600341796875, -0.32470703125, -0.37255859375, -0.180419921875, -0.70703125, -0.492431640625, 0.10186767578125, -0.082763671875, 0.8193359375, 0.043792724609375, -0.31689453125, 0.082275390625, -0.035430908203125, -0.047454833984375, -0.4814453125, -0.355712890625, 0.0039520263671875, 0.10498046875, -0.55859375, 0.412109375, -0.1351318359375, 0.7431640625, 1.173828125, -0.133056640625, 0.29833984375, 0.17041015625, -0.34375, 1.1796875, -0.040679931640625, -1.0673828125, -0.263671875, 0.50927734375, 0.09405517578125, 0.8154296875, 0.6416015625, -1.1640625, -0.51953125, -0.66796875, 0.66748046875, -0.7958984375, -0.266357421875, -1.384765625, -0.30908203125, -0.54443359375, 0.65380859375, -0.11883544921875, -0.56201171875, 0.154541015625, -0.9296875, 0.16357421875, -0.80908203125, -0.52197265625, -0.66796875, -0.6953125, 0.004299163818359375, 0.96142578125, 0.322998046875, 0.50634765625, 0.0005502700805664062, -0.1669921875, 0.183837890625, -0.204345703125, -0.7744140625, -0.5556640625, -0.36083984375, 0.003936767578125, -0.173583984375, 0.03887939453125, -0.71044921875, 0.69677734375, -0.658203125, 0.126220703125, -0.272216796875, -0.15869140625, -0.1640625, 0.052215576171875, 1.03515625, -0.8115234375, 0.248779296875, -0.430419921875, 0.560546875, 0.60888671875, -0.38525390625, 0.2330322265625, -0.471923828125, -0.833984375, -1.0205078125, 0.6572265625, -0.3359375, 0.186767578125, -0.9365234375, 0.1737060546875, 0.82275390625, -0.8232421875, 0.42919921875, 0.935546875, 0.499267578125, 0.50732421875, -0.57373046875, 0.98974609375, 0.70556640625, -0.1395263671875, -0.10162353515625, -0.13818359375, -0.71533203125, -0.02392578125, -0.26025390625, -0.7197265625, -0.4736328125, 0.322021484375, 1.2333984375, 0.002849578857421875, 0.9228515625, -0.055572509765625, -0.900390625, -0.6376953125, 0.53857421875, 0.04248046875, 0.247802734375, 1.0986328125, -0.0958251953125, -0.12249755859375, 0.384033203125, 0.0877685546875, -0.243408203125, -0.451416015625, 1.0390625, -0.27001953125, -0.609375, 0.73193359375, 0.96630859375, -1.1328125, -1.05859375, -0.3583984375, -0.119140625, -0.5068359375, -0.65576171875, 0.1680908203125, 0.72021484375, -0.86474609375, -0.049468994140625, 0.398193359375, -0.298828125, 0.576171875, -0.16162109375, 0.3896484375, -0.411376953125, 0.471435546875, 0.88232421875, -0.6904296875, -0.228759765625, -1.1279296875, -0.1480712890625, -0.153564453125, 0.416259765625, 0.74365234375, -0.6640625, -0.1507568359375, 0.56787109375, -0.05743408203125, 0.7666015625, -0.039794921875, 0.07000732421875, -0.026092529296875, -1.0498046875, -0.4453125, 0.1766357421875, 0.462890625, -0.446044921875, 0.66357421875, -0.69921875, 0.02374267578125, 0.61572265625, 0.5947265625, -0.43408203125, -0.83056640625, 0.09210205078125, -1.005859375, -0.482666015625, -0.76904296875, -0.2379150390625, -0.269775390625, 0.30419921875, 0.03594970703125, -0.50390625, 0.0831298828125, 0.367919921875, -0.5, 0.62353515625, -0.25146484375, 0.4091796875, -0.6767578125, -0.2247314453125, -0.87158203125, -0.287353515625, -0.40869140625, -0.496826171875, -0.1448974609375, 0.80810546875, -0.1453857421875, 0.33642578125, -0.14404296875, 0.429443359375, -0.263427734375, -0.7451171875, -0.1251220703125, -0.05621337890625, -0.296875, 0.5087890625, 0.434326171875, 0.400146484375, 0.50634765625, -0.31201171875, -0.33056640625, -0.1370849609375, 0.9326171875, 0.51416015625, -0.2274169921875, -0.04486083984375, -0.279052734375, -0.035858154296875, -0.837890625, 0.176513671875, -0.55615234375, 0.396728515625, 0.0200958251953125, -0.1727294921875, 0.297119140625, 1.05078125, 0.00826263427734375, 0.159423828125, 0.1964111328125, 0.25830078125, 0.615234375, -0.357177734375, 0.28173828125, 0.38232421875, -0.3037109375, 0.0292205810546875, 0.0667724609375, 0.46533203125, 0.17236328125, 0.1148681640625, -0.338623046875, -0.537109375, -1.0126953125, -0.317138671875, 0.2274169921875, 0.52197265625, 0.0792236328125, -0.2335205078125, -0.01160430908203125, 0.039031982421875, -0.344482421875, 0.1248779296875, -1.380859375, -0.66845703125, 0.72998046875, -0.50341796875, -0.79833984375, -0.0916748046875, -0.302734375, -0.229248046875, 0.05950927734375, 0.595703125, -0.1416015625, 0.1627197265625, 0.2186279296875, 0.314208984375, -0.09527587890625, -0.300537109375, 0.34130859375, 0.45263671875, -0.62890625, -0.29638671875, 0.341552734375, 0.9052734375, 0.07122802734375, -0.56982421875, -0.79052734375, -0.0121307373046875, 0.1536865234375, -0.040008544921875, -0.1732177734375, 0.0167694091796875, -0.397216796875, 0.57568359375, -0.587890625, 0.1207275390625, -0.053680419921875, 0.52685546875, 0.131591796875, -0.568359375, -0.771484375, 1.166015625, 0.48193359375, -0.4970703125, 0.50927734375, 0.3037109375, 0.38623046875, -0.17626953125, -0.1256103515625, -0.210205078125, 0.5302734375, 0.78076171875, 0.50244140625, 0.10089111328125, 0.3916015625, 0.6748046875, 0.33056640625, 0.1044921875, -0.00928497314453125, 0.148193359375, -0.1900634765625, 0.564453125, -0.3681640625, -0.5859375, 0.06365966796875, -0.410888671875, 0.10687255859375, -0.296875, 0.1455078125, -0.29052734375, -0.319580078125, 0.640625, -0.58154296875, 0.263427734375, 0.306396484375, -0.7412109375, 0.35693359375, 0.73291015625, -0.0880126953125, -0.27099609375, 0.78173828125, 0.68212890625, 0.5927734375, 0.9140625, 0.73779296875, 0.0506591796875, -0.76171875, 0.377197265625, 0.243896484375, 0.1552734375, -0.11474609375, -0.66943359375, -0.86767578125, 0.1749267578125, -0.1942138671875, -0.1448974609375, 0.4384765625, -0.4697265625, 0.00803375244140625, 0.052398681640625, 1.021484375, -0.1746826171875, 0.25146484375, 0.330322265625, -0.5498046875, -0.64794921875, 0.90478515625, -0.352294921875, 0.53076171875, -0.1109619140625, 0.939453125, 0.12054443359375, 1.2568359375, 0.60693359375, -0.26806640625, -0.03924560546875, 0.5234375, -0.165283203125, -0.67919921875, -0.244384765625, -0.047088623046875, 0.365478515625, -0.319580078125, -0.50927734375, -0.0003018379211425781, 0.80615234375, 0.37353515625, -0.69287109375, -0.404052734375, -0.0254974365234375, -0.5546875, 0.4384765625, -0.0005130767822265625, 0.14501953125, 0.09454345703125, 0.02880859375, 0.283935546875, -1.033203125, -0.0643310546875, -0.41357421875, 0.607421875, -0.472900390625, -0.263671875, -1.15234375, -0.68994140625, -0.087890625, 0.0972900390625, -0.32080078125, -0.88623046875, 0.66552734375, 0.52099609375, 0.430908203125, 0.387939453125, -0.07366943359375, 0.20556640625, 1.0205078125, 0.83349609375, -0.1949462890625, 0.50634765625, 0.24658203125, -0.286865234375, -0.048309326171875, -0.57958984375, 0.387451171875, 0.1939697265625, 0.006866455078125, -0.3359375, -0.194580078125, -0.8212890625, -1.021484375, 0.109619140625, 0.82666015625, 0.50341796875, -0.509765625, -0.8212890625, -0.63037109375, -1.0341796875, -0.054473876953125, -0.65087890625, 0.548828125, 0.006130218505859375, -0.14501953125, 0.1456298828125, -0.94140625, 4.42578125, 1.154296875, 1.1025390625, 0.2388916015625, 0.1751708984375, 1.017578125, 0.5224609375, -0.343505859375, -0.090087890625, -0.4521484375, 0.38330078125, -0.2174072265625, 0.29541015625, 1.0732421875, 0.1851806640625, 0.315185546875, -0.69482421875, -0.1981201171875, -0.03582763671875, -0.98388671875, -0.74072265625, 0.07476806640625, -0.0165252685546875, 0.6923828125, -0.367919921875, 0.388427734375, 0.30224609375, -0.736328125, -0.01332855224609375, -0.469482421875, -0.102294921875, -0.302490234375, 0.83740234375, -0.10272216796875, -0.0305633544921875, 0.498779296875, 0.07928466796875, -0.50341796875, -0.2724609375, 0.2069091796875, 0.237060546875, 0.32470703125, 0.1907958984375, -0.7861328125, 0.1739501953125, 0.52099609375, -0.61669921875, 0.46533203125, 0.427978515625, -1.0224609375, 1.064453125, -0.361572265625, 0.4443359375, -0.86279296875, -0.5498046875, 0.35009765625, 0.06787109375, -0.1153564453125, -0.440185546875, 0.58447265625, 0.359619140625, 0.2296142578125, -0.0219879150390625, 0.37841796875, -0.89697265625, 1.0068359375, -0.426025390625, 0.43798828125, -0.787109375, -0.41455078125, -0.444580078125, -0.58203125, -0.053375244140625, -0.79443359375, 0.66455078125, -0.08685302734375, -0.376953125, 0.5400390625, 0.31494140625, -0.75927734375, 0.17529296875, -0.330322265625, -0.66357421875, -0.7109375, 0.319580078125, 0.77294921875, -0.316650390625, -0.151123046875, 0.1279296875, 0.69677734375, 0.65673828125, 0.455810546875, 0.204345703125, -0.5673828125, -0.475341796875 ]
6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One popular website developed an unusual username editing procedure. One can change the username only by deleting some characters from it: to change the current name s, a user can pick number p and character c and delete the p-th occurrence of character c from the name. After the user changed his name, he can't undo the change. For example, one can change name "arca" by removing the second occurrence of character "a" to get "arc". Polycarpus learned that some user initially registered under nickname t, where t is a concatenation of k copies of string s. Also, Polycarpus knows the sequence of this user's name changes. Help Polycarpus figure out the user's final name. Input The first line contains an integer k (1 ≤ k ≤ 2000). The second line contains a non-empty string s, consisting of lowercase Latin letters, at most 100 characters long. The third line contains an integer n (0 ≤ n ≤ 20000) — the number of username changes. Each of the next n lines contains the actual changes, one per line. The changes are written as "pi ci" (without the quotes), where pi (1 ≤ pi ≤ 200000) is the number of occurrences of letter ci, ci is a lowercase Latin letter. It is guaranteed that the operations are correct, that is, the letter to be deleted always exists, and after all operations not all letters are deleted from the name. The letters' occurrences are numbered starting from 1. Output Print a single string — the user's final name after all changes are applied to it. Examples Input 2 bac 3 2 a 1 b 2 c Output acb Input 1 abacaba 4 1 a 1 a 1 c 2 b Output baa Note Let's consider the first sample. Initially we have name "bacbac"; the first operation transforms it into "bacbc", the second one — to "acbc", and finally, the third one transforms it into "acb". Submitted Solution: ``` n = int(input()) t = input() r = [''] + [t] * n m = int(input()) q = {c: [] for c in set(t)} for j, c in enumerate(t): q[c].append(j) p = {c: [] for c in q} for i in range(m): j, c = input().split() p[c].append(int(j)) for c in p: for i in range(len(p[c])): k = p[c][i] for j in range(i + 1, len(p[c])): if p[c][j] >= k: p[c][j] += 1 for c in p: l = len(q[c]) for i in range(len(p[c])): x, y = p[c][i] // l, p[c][i] % l r[x] = r[x][: q[c][y]] + ' ' + r[x][q[c][y] + 1: ] t = ''.join(r) print(t.replace(' ', '')) ``` No
7,826
[ 0.197021484375, -0.237548828125, 0.10357666015625, 0.32177734375, -0.198486328125, -0.300537109375, -0.48828125, -0.30322265625, 0.302490234375, 0.6357421875, 1.03515625, -0.336181640625, 0.074462890625, -0.908203125, -0.67578125, -0.1123046875, -0.50732421875, -0.650390625, -0.52587890625, -0.37841796875, 0.1407470703125, -0.094970703125, -1.1455078125, -0.2237548828125, -0.345458984375, 0.79833984375, 0.10748291015625, -0.357177734375, 0.974609375, 1.056640625, -0.370361328125, -0.5703125, 0.94970703125, -0.68115234375, -0.242919921875, -0.3349609375, 0.3427734375, -0.5654296875, -0.62939453125, -0.364990234375, 0.06951904296875, -0.505859375, 0.376220703125, -0.57568359375, -1.208984375, 0.058380126953125, -0.6044921875, -0.2259521484375, -0.59423828125, -0.7109375, 0.0030975341796875, -0.207763671875, 0.734375, -0.136474609375, -0.0947265625, -0.209228515625, -0.04833984375, -0.31689453125, -0.58642578125, 0.2802734375, 0.01461029052734375, 0.4189453125, -0.1702880859375, -0.431884765625, 0.07806396484375, 0.1248779296875, 0.004093170166015625, -0.135498046875, 0.1043701171875, -0.5048828125, -0.22900390625, 0.1776123046875, -0.433837890625, -0.47607421875, -0.191162109375, -0.2369384765625, 0.07342529296875, -0.1815185546875, -0.65576171875, 0.669921875, -0.107421875, 0.8271484375, 0.025909423828125, 0.1580810546875, -0.5498046875, -0.366455078125, 0.365966796875, 0.273681640625, -0.042938232421875, -0.1309814453125, 0.0167083740234375, 0.457275390625, -0.2135009765625, -0.282958984375, 0.75537109375, 0.74560546875, -0.386962890625, 0.322998046875, 0.09796142578125, 0.171875, 1.0458984375, 0.5205078125, -0.07220458984375, 1.1669921875, -0.40869140625, 0.1673583984375, 0.028411865234375, 0.16455078125, -0.393310546875, -0.67236328125, 0.01885986328125, -0.31396484375, 0.66943359375, 0.2374267578125, -0.1954345703125, 0.69091796875, -0.10394287109375, 0.29443359375, -0.58447265625, -0.07073974609375, 0.35546875, -0.22412109375, 0.3447265625, -0.65576171875, 0.2548828125, -0.5546875, -0.986328125, 1.11328125, -0.413818359375, -0.0162200927734375, 0.351806640625, 0.0194549560546875, -0.50732421875, -0.07122802734375, -0.1593017578125, 1.044921875, -0.060455322265625, 0.6806640625, 0.47314453125, -0.74462890625, 0.576171875, 0.25048828125, 0.06536865234375, 1.4736328125, 0.5341796875, 0.296875, 0.450927734375, 0.6337890625, -0.66845703125, 0.2193603515625, -0.7626953125, 0.48974609375, 0.278564453125, 0.004940032958984375, -0.253173828125, 0.30517578125, -0.475341796875, 0.61962890625, 0.1982421875, 0.229736328125, -0.43115234375, 0.4033203125, -0.141845703125, 0.65576171875, 0.037811279296875, 0.98681640625, -0.54150390625, -0.8310546875, -0.0221710205078125, -0.73291015625, 0.2293701171875, -0.353515625, 0.01396942138671875, 0.89599609375, 0.69921875, 0.93359375, 0.384765625, 0.03021240234375, -0.014892578125, -0.091796875, -0.321044921875, 0.450927734375, 0.54443359375, 0.7080078125, -0.036407470703125, 0.184814453125, 0.02459716796875, -0.2371826171875, -0.6083984375, -0.591796875, 0.177490234375, 0.689453125, -0.318359375, 0.107421875, 0.278564453125, -0.1466064453125, -0.98046875, -0.1893310546875, 0.69775390625, -1.2421875, -0.01617431640625, 0.701171875, -0.23974609375, 0.60400390625, -0.27880859375, -0.615234375, 0.65576171875, 1.0732421875, 0.235107421875, 0.237548828125, 0.63232421875, 0.01300811767578125, -0.2420654296875, -0.276611328125, 0.1771240234375, -0.382568359375, -0.387939453125, 0.5380859375, -0.3427734375, -0.33203125, -0.0196533203125, 0.806640625, 0.1258544921875, 0.5361328125, -0.47705078125, 0.1680908203125, 0.3271484375, 1.3388671875, -0.27001953125, 0.209228515625, 0.3759765625, 0.59130859375, 0.44775390625, 0.80224609375, 0.3916015625, -0.00800323486328125, 0.9130859375, 1.0927734375, -0.408447265625, 0.123779296875, 0.2900390625, 0.56982421875, 0.583984375, 0.39599609375, -0.0134124755859375, 0.50537109375, 0.1112060546875, 0.25439453125, -0.3828125, 0.284912109375, -0.7666015625, 0.29150390625, 0.03948974609375, 0.067138671875, -0.60546875, -0.17333984375, 0.407470703125, 0.389404296875, -0.71337890625, -0.315185546875, -0.64208984375, 0.2900390625, 0.72509765625, 0.055877685546875, 0.062225341796875, 0.305419921875, 0.417724609375, 0.6650390625, 0.00490570068359375, -0.286376953125, -0.71044921875, -1.1552734375, -0.9443359375, -0.7646484375, -0.68115234375, -0.146728515625, -0.07855224609375, -1.017578125, 0.245361328125, -0.472412109375, -0.1556396484375, 0.31884765625, -0.2320556640625, 0.8447265625, -0.281982421875, 0.64990234375, -0.7802734375, 0.564453125, -0.07763671875, 0.85888671875, -0.343505859375, 0.2037353515625, 0.05902099609375, -0.7080078125, -0.0104217529296875, -0.0673828125, 0.75146484375, 0.006710052490234375, -0.7841796875, -1.05078125, -0.464599609375, 0.463623046875, -0.463134765625, 0.330322265625, -0.64306640625, 0.75048828125, 0.30322265625, -0.359619140625, 0.77197265625, 0.49365234375, -0.68505859375, 0.493896484375, 0.1826171875, 0.035186767578125, -0.84814453125, 1.0732421875, 0.464111328125, 0.91845703125, -0.53515625, -0.59228515625, -0.5615234375, -0.052978515625, 0.446044921875, -0.369873046875, -0.5361328125, 0.309326171875, 0.2158203125, -1.0908203125, 0.58447265625, -1.01171875, -0.5478515625, -0.30419921875, -0.71044921875, 0.93505859375, 1.4150390625, -0.25439453125, -0.28759765625, -0.0474853515625, -0.316162109375, 0.78125, 0.6005859375, -0.6650390625, 0.0819091796875, 0.5703125, -0.04534912109375, -0.1082763671875, 0.225341796875, -0.56005859375, -0.50830078125, -0.1478271484375, 0.109130859375, 0.33349609375, 0.1201171875, 0.481201171875, 0.428466796875, 0.64599609375, -1.0810546875, -0.491455078125, -0.16259765625, 0.75537109375, 0.455322265625, 0.5263671875, 0.355224609375, -0.29833984375, -0.471435546875, -0.55712890625, -0.1768798828125, 0.72314453125, 0.75830078125, -0.54248046875, 0.475341796875, 0.439208984375, -0.97314453125, 0.83984375, -0.66015625, 0.418701171875, 1.1474609375, -0.347900390625, 0.71435546875, -0.445556640625, 0.1796875, -0.126953125, -0.1800537109375, 0.1304931640625, 0.205810546875, 0.283935546875, -0.65478515625, -0.343994140625, -0.2205810546875, -0.3603515625, 0.26171875, -0.260986328125, -0.499755859375, -0.259765625, -0.5244140625, -0.611328125, 0.6552734375, 0.7900390625, 0.806640625, 0.0799560546875, 0.55419921875, 0.362548828125, 0.177490234375, 0.62890625, -0.357177734375, 0.142578125, -0.7705078125, 1.0244140625, 0.355712890625, -0.4091796875, -0.19775390625, 0.1348876953125, 0.08782958984375, -0.002002716064453125, -0.044525146484375, -0.0823974609375, -1.1259765625, 0.04388427734375, -0.1356201171875, 0.90576171875, -0.69580078125, -0.19384765625, -0.7041015625, 0.63916015625, 0.030853271484375, -0.6650390625, 0.366455078125, -0.9599609375, 0.7177734375, 0.787109375, -0.095703125, -0.57666015625, -0.303466796875, -1.1240234375, -0.83935546875, 0.314208984375, 0.309814453125, -0.763671875, -0.089111328125, -0.9716796875, 0.58203125, 0.320556640625, -0.26025390625, 0.06634521484375, -0.326416015625, 0.48095703125, -0.054443359375, 0.65673828125, -0.1336669921875, -0.5849609375, 0.431396484375, -1.03125, 0.41748046875, -0.52001953125, 0.78466796875, -0.1561279296875, -0.229736328125, -0.0138702392578125, 0.456787109375, -0.4287109375, 0.17724609375, 0.1728515625, 0.208740234375, -0.9453125, -0.66943359375, 0.326904296875, -0.364501953125, -0.08734130859375, 0.40869140625, 0.306396484375, -0.1295166015625, 0.34521484375, 0.141845703125, -0.18994140625, 0.537109375, -0.68798828125, 0.8310546875, -0.402587890625, -0.45947265625, 0.017547607421875, -0.444091796875, 0.6376953125, -0.2283935546875, -0.5517578125, -0.44482421875, -1.2763671875, 0.09088134765625, -0.1845703125, -0.447998046875, 0.50927734375, 0.40283203125, -0.256103515625, -0.1539306640625, -0.3369140625, -0.373291015625, -0.19287109375, -0.69580078125, -0.484619140625, 0.0968017578125, -0.05950927734375, 0.83935546875, 0.048004150390625, -0.318359375, 0.068359375, -0.055023193359375, -0.034820556640625, -0.477294921875, -0.356201171875, 0.00005614757537841797, 0.10455322265625, -0.56640625, 0.39599609375, -0.1473388671875, 0.7275390625, 1.15625, -0.1463623046875, 0.309326171875, 0.1527099609375, -0.34765625, 1.1953125, -0.0321044921875, -1.078125, -0.252685546875, 0.50341796875, 0.08526611328125, 0.8251953125, 0.64013671875, -1.1611328125, -0.5126953125, -0.66943359375, 0.65478515625, -0.78564453125, -0.273193359375, -1.3828125, -0.308349609375, -0.54931640625, 0.65869140625, -0.10772705078125, -0.55517578125, 0.1668701171875, -0.94677734375, 0.1490478515625, -0.82177734375, -0.51220703125, -0.69091796875, -0.67333984375, 0.007579803466796875, 0.94873046875, 0.3466796875, 0.50341796875, 0.00860595703125, -0.157470703125, 0.171142578125, -0.1998291015625, -0.7509765625, -0.55419921875, -0.36083984375, 0.0018291473388671875, -0.186767578125, 0.0197601318359375, -0.70068359375, 0.70361328125, -0.66748046875, 0.1273193359375, -0.264404296875, -0.1650390625, -0.1868896484375, 0.07293701171875, 1.046875, -0.80712890625, 0.261962890625, -0.428466796875, 0.5517578125, 0.63330078125, -0.40185546875, 0.2113037109375, -0.476318359375, -0.82666015625, -1.0380859375, 0.65478515625, -0.34814453125, 0.1773681640625, -0.966796875, 0.1513671875, 0.830078125, -0.818359375, 0.420166015625, 0.943359375, 0.50830078125, 0.5107421875, -0.5732421875, 0.99462890625, 0.708984375, -0.1531982421875, -0.11541748046875, -0.1650390625, -0.70166015625, -0.00800323486328125, -0.2398681640625, -0.73046875, -0.470458984375, 0.330810546875, 1.2158203125, -0.00785064697265625, 0.94091796875, -0.06365966796875, -0.89599609375, -0.658203125, 0.5400390625, 0.055572509765625, 0.256103515625, 1.09765625, -0.09539794921875, -0.1265869140625, 0.383544921875, 0.11474609375, -0.2486572265625, -0.45361328125, 1.0380859375, -0.276123046875, -0.62744140625, 0.73193359375, 0.962890625, -1.140625, -1.0380859375, -0.333251953125, -0.11407470703125, -0.52099609375, -0.65771484375, 0.1591796875, 0.7333984375, -0.8798828125, -0.03729248046875, 0.396484375, -0.315185546875, 0.5859375, -0.1619873046875, 0.377685546875, -0.412353515625, 0.464599609375, 0.90625, -0.68994140625, -0.2369384765625, -1.1181640625, -0.13037109375, -0.163818359375, 0.403076171875, 0.74365234375, -0.65625, -0.1494140625, 0.58984375, -0.05841064453125, 0.78173828125, -0.061370849609375, 0.06048583984375, -0.01531219482421875, -1.0732421875, -0.441162109375, 0.16162109375, 0.471923828125, -0.451171875, 0.6708984375, -0.69921875, 0.04180908203125, 0.61181640625, 0.6025390625, -0.428955078125, -0.8447265625, 0.087646484375, -1.005859375, -0.50048828125, -0.77685546875, -0.230224609375, -0.270751953125, 0.30859375, 0.03314208984375, -0.498046875, 0.09002685546875, 0.370361328125, -0.50146484375, 0.6455078125, -0.260986328125, 0.38232421875, -0.68359375, -0.239501953125, -0.87744140625, -0.275146484375, -0.411376953125, -0.474365234375, -0.1453857421875, 0.818359375, -0.14111328125, 0.337158203125, -0.1488037109375, 0.418212890625, -0.264892578125, -0.73828125, -0.1107177734375, -0.06494140625, -0.31640625, 0.50830078125, 0.41748046875, 0.389404296875, 0.493896484375, -0.306640625, -0.3232421875, -0.1392822265625, 0.95068359375, 0.501953125, -0.2197265625, -0.0343017578125, -0.278076171875, -0.055450439453125, -0.84423828125, 0.18701171875, -0.54833984375, 0.379150390625, -0.0097198486328125, -0.1727294921875, 0.324951171875, 1.0400390625, 0.0122833251953125, 0.1607666015625, 0.1885986328125, 0.26806640625, 0.6240234375, -0.34912109375, 0.28564453125, 0.36962890625, -0.31591796875, 0.03131103515625, 0.047393798828125, 0.4658203125, 0.1693115234375, 0.10369873046875, -0.341552734375, -0.53662109375, -1.0048828125, -0.32275390625, 0.219482421875, 0.52783203125, 0.0888671875, -0.252197265625, -0.0185089111328125, 0.051300048828125, -0.337646484375, 0.1290283203125, -1.3984375, -0.6806640625, 0.7431640625, -0.48095703125, -0.81591796875, -0.07366943359375, -0.30859375, -0.2325439453125, 0.06903076171875, 0.59716796875, -0.157470703125, 0.1378173828125, 0.210205078125, 0.3154296875, -0.08819580078125, -0.317626953125, 0.33740234375, 0.455322265625, -0.638671875, -0.301025390625, 0.332275390625, 0.8935546875, 0.07232666015625, -0.57470703125, -0.796875, -0.0129241943359375, 0.15576171875, -0.03045654296875, -0.1904296875, 0.01296234130859375, -0.414306640625, 0.5966796875, -0.58642578125, 0.11883544921875, -0.0372314453125, 0.51806640625, 0.134521484375, -0.54736328125, -0.755859375, 1.1650390625, 0.48779296875, -0.49560546875, 0.52685546875, 0.30126953125, 0.384033203125, -0.186767578125, -0.133056640625, -0.193603515625, 0.5439453125, 0.7666015625, 0.5302734375, 0.1224365234375, 0.388671875, 0.66650390625, 0.346435546875, 0.08782958984375, -0.028045654296875, 0.1551513671875, -0.1768798828125, 0.57080078125, -0.369384765625, -0.57373046875, 0.05987548828125, -0.416259765625, 0.1097412109375, -0.291015625, 0.133056640625, -0.327392578125, -0.3310546875, 0.64599609375, -0.59228515625, 0.274658203125, 0.307861328125, -0.744140625, 0.36669921875, 0.72900390625, -0.0924072265625, -0.27880859375, 0.796875, 0.68701171875, 0.58447265625, 0.90869140625, 0.74462890625, 0.044647216796875, -0.7734375, 0.375, 0.265380859375, 0.170654296875, -0.11102294921875, -0.70263671875, -0.87646484375, 0.1680908203125, -0.184326171875, -0.138671875, 0.439453125, -0.473876953125, -0.004520416259765625, 0.06304931640625, 1.02734375, -0.19580078125, 0.262451171875, 0.31884765625, -0.548828125, -0.642578125, 0.9052734375, -0.355712890625, 0.54931640625, -0.1087646484375, 0.943359375, 0.119140625, 1.2470703125, 0.62890625, -0.2529296875, -0.047821044921875, 0.51708984375, -0.1522216796875, -0.67724609375, -0.25830078125, -0.055694580078125, 0.3447265625, -0.325927734375, -0.499267578125, -0.0165252685546875, 0.80859375, 0.371826171875, -0.697265625, -0.40478515625, -0.0298919677734375, -0.57177734375, 0.45849609375, 0.00878143310546875, 0.162353515625, 0.08740234375, 0.0275726318359375, 0.298095703125, -1.03125, -0.04693603515625, -0.42431640625, 0.5986328125, -0.45166015625, -0.272216796875, -1.158203125, -0.6806640625, -0.068115234375, 0.090576171875, -0.338134765625, -0.9013671875, 0.66162109375, 0.52783203125, 0.432861328125, 0.385498046875, -0.08416748046875, 0.19873046875, 1.0341796875, 0.83935546875, -0.2078857421875, 0.51953125, 0.253173828125, -0.2685546875, -0.050323486328125, -0.5859375, 0.388427734375, 0.2060546875, 0.0232696533203125, -0.340576171875, -0.17333984375, -0.841796875, -1.02734375, 0.0958251953125, 0.8232421875, 0.4892578125, -0.50732421875, -0.83251953125, -0.6455078125, -1.033203125, -0.07354736328125, -0.6513671875, 0.54541015625, 0.01154327392578125, -0.1536865234375, 0.145751953125, -0.9345703125, 4.4140625, 1.15625, 1.1015625, 0.236083984375, 0.1988525390625, 1.01171875, 0.513671875, -0.35498046875, -0.07763671875, -0.46533203125, 0.373291015625, -0.2396240234375, 0.30419921875, 1.0888671875, 0.1822509765625, 0.298583984375, -0.67041015625, -0.2032470703125, -0.0263214111328125, -1.00390625, -0.755859375, 0.07855224609375, -0.0223236083984375, 0.685546875, -0.342529296875, 0.3779296875, 0.2958984375, -0.7548828125, -0.0108489990234375, -0.468017578125, -0.0970458984375, -0.315673828125, 0.85302734375, -0.0885009765625, -0.0225982666015625, 0.490234375, 0.07989501953125, -0.489501953125, -0.267578125, 0.204833984375, 0.2037353515625, 0.3388671875, 0.1947021484375, -0.7900390625, 0.165283203125, 0.533203125, -0.615234375, 0.47119140625, 0.42529296875, -1.029296875, 1.0634765625, -0.376708984375, 0.44287109375, -0.8681640625, -0.5361328125, 0.351318359375, 0.06378173828125, -0.10662841796875, -0.428955078125, 0.56787109375, 0.373291015625, 0.2354736328125, -0.01511383056640625, 0.39501953125, -0.9140625, 0.99365234375, -0.41455078125, 0.419189453125, -0.791015625, -0.388671875, -0.457763671875, -0.5849609375, -0.043701171875, -0.78759765625, 0.68408203125, -0.09027099609375, -0.392578125, 0.5341796875, 0.333984375, -0.76513671875, 0.1776123046875, -0.337158203125, -0.66064453125, -0.7158203125, 0.31982421875, 0.78173828125, -0.33056640625, -0.139892578125, 0.12646484375, 0.70849609375, 0.66357421875, 0.462890625, 0.2171630859375, -0.56982421875, -0.479248046875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Limak is a little polar bear. He likes nice strings — strings of length n, consisting of lowercase English letters only. The distance between two letters is defined as the difference between their positions in the alphabet. For example, <image>, and <image>. Also, the distance between two nice strings is defined as the sum of distances of corresponding letters. For example, <image>, and <image>. Limak gives you a nice string s and an integer k. He challenges you to find any nice string s' that <image>. Find any s' satisfying the given conditions, or print "-1" if it's impossible to do so. As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ 106). The second line contains a string s of length n, consisting of lowercase English letters. Output If there is no string satisfying the given conditions then print "-1" (without the quotes). Otherwise, print any nice string s' that <image>. Examples Input 4 26 bear Output roar Input 2 7 af Output db Input 3 1000 hey Output -1 Tags: greedy, strings Correct Solution: ``` s, k = map(int, input().split()) strin = list(input()) newStr = strin d = 0 m = ord("m") a = ord("a") z = ord("z") i = 0 while i < s and d < k: diff = 0 c = ord(strin[i]) if c <= m: diff = z - c else: diff = a - c if (abs(diff) + d) <= k: d += abs(diff) newStr[i] = chr(c + diff) else: if c <= m: c += k - d else: c -= k - d d += abs(k - d) newStr[i] = chr(c) i += 1 if d == k: print("".join(newStr)) else: print("-1") ```
7,977
[ 0.31396484375, 0.19677734375, 0.27294921875, 0.276611328125, -0.3916015625, -0.6435546875, 0.1571044921875, 0.1241455078125, -0.202392578125, 0.7275390625, 0.626953125, 0.0237579345703125, -0.11993408203125, -0.81298828125, -0.50439453125, -0.158203125, -0.375732421875, -0.58984375, -0.53515625, -0.138671875, 0.06243896484375, 0.007328033447265625, -1.3564453125, -0.12200927734375, -0.332275390625, 0.61279296875, 0.483154296875, 0.11712646484375, 0.9208984375, 0.845703125, 0.1036376953125, -0.415283203125, 0.333984375, -1.12109375, -0.13037109375, -0.36865234375, 0.75732421875, -0.84765625, -0.2119140625, -0.483642578125, 0.367431640625, -0.5693359375, 0.349365234375, -0.64697265625, -0.9453125, -0.128662109375, -0.282470703125, -0.56298828125, -0.1591796875, -0.4560546875, 0.3662109375, -0.425048828125, 0.69482421875, -0.59375, -0.11566162109375, -0.2303466796875, 0.11358642578125, 0.04547119140625, -0.384765625, 0.560546875, -0.06500244140625, 0.153564453125, 0.01053619384765625, -0.80859375, -0.151611328125, -0.1590576171875, 0.129150390625, -0.267578125, -0.256591796875, -0.4033203125, -0.33447265625, 0.29833984375, -0.447021484375, -0.397216796875, -0.4111328125, 0.052490234375, 0.26123046875, 0.0833740234375, -0.434814453125, 0.8603515625, 0.284912109375, 0.86181640625, 0.3193359375, 0.1812744140625, -0.386474609375, -0.564453125, 0.255615234375, 0.17138671875, 0.169921875, -0.031707763671875, -0.1710205078125, 0.64306640625, -0.95556640625, 0.0927734375, 0.69482421875, 0.479248046875, -0.1263427734375, 0.08587646484375, 0.022003173828125, 0.2235107421875, 0.77392578125, 0.77685546875, -0.021453857421875, 1.0498046875, -0.460693359375, 0.481689453125, -0.01491546630859375, -0.2060546875, -0.1654052734375, -0.34375, -0.198486328125, -0.2056884765625, 0.82177734375, 0.1898193359375, -0.186767578125, 0.98193359375, 0.053985595703125, 0.58984375, -0.58447265625, 0.214111328125, 0.404541015625, 0.4853515625, 0.81689453125, -0.270263671875, -0.1527099609375, -0.2130126953125, -0.1297607421875, 1.0361328125, -0.67529296875, -0.261474609375, 0.0933837890625, -0.270751953125, -0.2841796875, 0.11767578125, -0.06390380859375, 0.65087890625, -0.24853515625, 0.59716796875, 0.88525390625, -0.59716796875, 0.6494140625, -0.13671875, -0.323486328125, 1.361328125, -0.04669189453125, 0.1923828125, 0.646484375, 0.61083984375, -0.72998046875, 0.2269287109375, -1.1484375, 0.6923828125, 0.05035400390625, 0.230224609375, -0.42626953125, 0.1065673828125, -0.2193603515625, 0.23193359375, -0.01271820068359375, -0.034515380859375, -0.48974609375, 0.128662109375, -0.40087890625, 0.9560546875, -0.1268310546875, 0.85693359375, -0.59619140625, -0.41015625, 0.1307373046875, -0.36865234375, 0.1959228515625, -0.235595703125, -0.27197265625, 0.8349609375, 0.43408203125, 1.041015625, 1.0302734375, -0.007564544677734375, 0.421630859375, 0.50390625, -0.37109375, 0.4345703125, 0.0219879150390625, 0.49951171875, 0.177734375, 0.26123046875, 0.1527099609375, -0.213134765625, -0.8115234375, -0.5595703125, -0.037567138671875, 0.787109375, -0.4658203125, -0.1282958984375, 0.15576171875, 0.2354736328125, -1.0068359375, -0.03643798828125, 0.04962158203125, -1.1787109375, -0.275390625, 0.55322265625, -0.07757568359375, 0.485595703125, -0.30712890625, -0.5849609375, 0.55908203125, 0.99365234375, -0.23486328125, -0.21240234375, 0.4697265625, 0.432861328125, -0.240478515625, 0.193603515625, 0.00193023681640625, -0.09234619140625, -0.69970703125, 0.80078125, -0.13671875, 0.24853515625, 0.11419677734375, 0.27294921875, 0.26611328125, 0.73779296875, -0.423828125, -0.329833984375, 0.4833984375, 0.70556640625, 0.045135498046875, 0.310302734375, -0.2626953125, 1.0517578125, 0.2666015625, 0.393310546875, 0.81591796875, 0.440185546875, 0.66064453125, 0.658203125, 0.26123046875, -0.11273193359375, -0.1168212890625, 0.5244140625, -0.0183868408203125, 0.21484375, 0.153076171875, 0.2283935546875, -0.00402069091796875, 0.0465087890625, -0.2471923828125, 0.34619140625, -0.1148681640625, 0.6787109375, 0.370361328125, 0.81005859375, -0.26904296875, -0.0302581787109375, 0.13232421875, 0.8056640625, -0.79052734375, -0.08551025390625, -0.473876953125, -0.055206298828125, 0.265380859375, -0.06524658203125, 0.25732421875, 0.314453125, 0.150146484375, 0.354736328125, -0.271240234375, -0.57568359375, -0.92578125, -0.73046875, -0.91259765625, -0.4775390625, -0.79296875, -0.25732421875, 0.55322265625, -1.0546875, 0.2117919921875, -0.296142578125, -0.441162109375, 0.029693603515625, -0.7841796875, 0.452880859375, -0.0165557861328125, 0.724609375, -0.52587890625, 0.268798828125, 0.59716796875, 1.083984375, -0.393798828125, -0.049346923828125, -0.2451171875, -0.477783203125, 0.3125, -0.326904296875, 0.544921875, -0.1300048828125, -0.46240234375, -0.65478515625, -0.421142578125, -0.2861328125, -0.371337890625, 0.1427001953125, -0.42822265625, 0.61328125, 0.324951171875, -0.9326171875, 0.75732421875, 1.0673828125, -0.57373046875, 0.295166015625, 0.11968994140625, 0.067626953125, -0.9169921875, 1.54296875, 0.2646484375, 0.382080078125, -0.68115234375, -0.50830078125, -0.128662109375, 0.08953857421875, 0.072265625, -0.211669921875, -0.361328125, 0.810546875, -0.1719970703125, -0.8076171875, 0.338134765625, -0.7470703125, -0.428466796875, -0.5517578125, -0.56005859375, 0.78076171875, 0.73974609375, 0.18701171875, -0.145751953125, -0.1607666015625, 0.039154052734375, 0.79052734375, 0.371826171875, -0.50341796875, 0.0810546875, 0.67431640625, 0.006710052490234375, 0.038055419921875, 0.1923828125, 0.035369873046875, -0.09588623046875, 0.29248046875, 0.0472412109375, 0.63330078125, 0.333740234375, 0.578125, 0.49462890625, 0.83447265625, -0.82177734375, -0.375, -0.372802734375, 0.62841796875, 0.3193359375, 0.55322265625, 0.56982421875, -0.317138671875, -0.65966796875, -1.1552734375, 0.3974609375, -0.163330078125, 0.6923828125, -0.82861328125, 0.7529296875, 0.08111572265625, -0.39892578125, 0.244384765625, -0.76708984375, -0.5439453125, 0.82763671875, -0.308837890625, 0.81298828125, -0.67578125, 0.477783203125, -0.116943359375, -0.0784912109375, 0.99560546875, 0.1810302734375, 0.54638671875, -0.295654296875, -0.299072265625, -0.58984375, -0.60693359375, 0.21044921875, -0.463623046875, 0.153076171875, -0.595703125, 0.045013427734375, -1.0419921875, 0.344970703125, 0.33056640625, 0.80224609375, -0.0697021484375, 0.4697265625, 0.09228515625, 0.80126953125, 0.492431640625, -0.33203125, 0.2271728515625, -0.525390625, 0.599609375, 0.09686279296875, -0.12310791015625, -0.654296875, -0.32763671875, -0.2454833984375, 0.07794189453125, 0.0936279296875, -0.196533203125, -0.92822265625, 0.2283935546875, -0.188232421875, 0.59912109375, -0.611328125, -0.317138671875, -0.122802734375, 0.435302734375, 0.2479248046875, -1.37109375, 0.1546630859375, -0.4404296875, 1.0029296875, 0.468505859375, -0.326171875, -0.2445068359375, -0.529296875, -0.50146484375, -0.6044921875, -0.04840087890625, 0.71728515625, 0.125244140625, -0.0030269622802734375, -1.310546875, 0.2421875, 0.28955078125, 0.05731201171875, 0.1953125, -0.1318359375, 0.460205078125, -0.06756591796875, 0.5400390625, -0.3837890625, -0.65771484375, -0.1552734375, -1.361328125, -0.0762939453125, -0.2548828125, -0.038970947265625, -0.1741943359375, -0.1419677734375, -0.1724853515625, 0.51171875, -0.3896484375, 0.345458984375, 0.01329803466796875, 0.599609375, -0.9296875, -0.951171875, 0.54248046875, -0.420166015625, -0.28662109375, 1.158203125, -0.0933837890625, -0.388671875, 0.298583984375, 0.46044921875, -0.6005859375, 0.1656494140625, -0.7314453125, 0.630859375, -0.431396484375, -0.1422119140625, -0.3662109375, -0.662109375, 0.5810546875, 0.219970703125, -0.83642578125, -0.35595703125, -0.9814453125, -0.160888671875, -0.1304931640625, -0.424560546875, 0.50927734375, -0.1832275390625, -0.04168701171875, -0.07110595703125, -0.174072265625, -0.2283935546875, -0.10400390625, -0.56640625, -0.199462890625, 0.64892578125, 0.552734375, 0.45263671875, -0.183349609375, -0.46533203125, -0.0215606689453125, -0.0396728515625, -0.2020263671875, -0.08599853515625, 0.06689453125, -0.0645751953125, -0.205078125, -0.0914306640625, 0.07611083984375, -0.10186767578125, 0.005504608154296875, 0.5078125, 0.441650390625, 0.57177734375, 0.4150390625, -0.69287109375, 1.1728515625, 0.155517578125, -0.92529296875, -0.447265625, 0.63671875, -0.03955078125, 0.2607421875, 0.54541015625, -0.64208984375, -0.7626953125, -0.81201171875, 0.314697265625, -0.34716796875, -0.2427978515625, -1.2177734375, -0.252685546875, -0.032562255859375, 0.7177734375, -0.33251953125, -0.59423828125, 0.1973876953125, -1.0029296875, 0.43359375, -0.424560546875, -0.72265625, -0.6953125, -0.335693359375, -0.11236572265625, 1.052734375, 0.1588134765625, 0.330078125, -0.119384765625, -0.0111083984375, 0.52197265625, 0.162353515625, -0.441650390625, -0.275634765625, -0.4140625, 0.454833984375, 0.1817626953125, -0.10015869140625, -0.347412109375, 0.48828125, -0.80859375, 0.1920166015625, -0.378662109375, -0.05926513671875, -0.201416015625, -0.49755859375, 0.779296875, -0.496337890625, -0.0726318359375, -0.33984375, 1.0302734375, 0.422607421875, -0.34814453125, -0.406005859375, -1.3544921875, -0.98583984375, -1.2353515625, 0.70654296875, -0.456787109375, -0.11553955078125, -0.751953125, -0.006534576416015625, 1.0595703125, -0.344970703125, 0.564453125, 0.923828125, 0.11004638671875, -0.03765869140625, -0.66650390625, 0.63818359375, 0.5625, -0.287109375, -0.2493896484375, 0.42529296875, -0.544921875, 0.304931640625, 0.040771484375, -1.21875, -0.8115234375, 0.384765625, 1.2958984375, -0.293212890625, 0.69970703125, 0.28076171875, -1.294921875, -0.52294921875, 0.798828125, 0.295654296875, 0.482666015625, 1.25, -0.23291015625, -0.07342529296875, -0.04522705078125, -0.366943359375, -0.253662109375, -0.485107421875, 1.328125, -0.56591796875, -0.5625, 0.389404296875, 1.0771484375, -1.0927734375, -0.994140625, 0.020965576171875, 0.10064697265625, -0.048797607421875, -0.6923828125, 0.07952880859375, 0.2445068359375, -0.62255859375, 0.0347900390625, 0.42236328125, 0.20751953125, 0.54541015625, 0.32080078125, 0.41259765625, -0.290771484375, 0.434326171875, 0.6044921875, -0.3955078125, -0.11920166015625, -0.88427734375, -0.08428955078125, -0.41162109375, 0.03338623046875, 0.8916015625, -0.390625, 0.56640625, 0.65625, -0.12176513671875, 0.7646484375, -0.1143798828125, -0.69775390625, 0.371826171875, -0.7138671875, -0.31005859375, 0.365234375, 0.53125, -0.243896484375, 0.13232421875, -0.658203125, -0.346923828125, -0.051300048828125, 0.351318359375, -0.380126953125, -0.64599609375, -0.28515625, -1.0478515625, -0.67041015625, -0.5830078125, -0.572265625, -0.04119873046875, -0.0645751953125, 0.04144287109375, -0.72998046875, 0.1143798828125, 0.421630859375, -0.479736328125, 1.0576171875, -0.79638671875, 0.54736328125, -0.65771484375, -0.387451171875, -0.456298828125, -0.0975341796875, -0.145751953125, -0.09930419921875, -0.72607421875, 0.0030536651611328125, -0.02264404296875, 0.367919921875, -0.150634765625, 0.455078125, -0.2254638671875, -0.82763671875, -0.002506256103515625, 0.09033203125, -0.0189361572265625, 0.392578125, 0.404052734375, -0.2164306640625, 0.19482421875, -0.10748291015625, -0.4072265625, -0.4951171875, 0.53466796875, 0.28564453125, -0.035003662109375, -0.0302581787109375, -0.1387939453125, 0.410888671875, -1.06640625, -0.0811767578125, -0.18115234375, 0.1832275390625, 0.1722412109375, -0.230712890625, 0.3349609375, 1.0068359375, 0.0506591796875, 0.01316070556640625, 0.061431884765625, 0.33349609375, 0.1361083984375, -0.070556640625, -0.057891845703125, 0.304443359375, 0.342041015625, -0.4130859375, 0.1802978515625, 0.19287109375, 0.0102386474609375, 0.1868896484375, -0.1607666015625, -0.60400390625, -0.56494140625, -0.64599609375, -0.51123046875, 0.38818359375, 0.09576416015625, -0.42431640625, 0.0753173828125, 0.005466461181640625, -0.094482421875, 0.313720703125, -1.134765625, -0.71875, 0.168701171875, -0.166748046875, -0.72998046875, -0.17041015625, -0.290283203125, -0.2462158203125, -0.0012159347534179688, 0.1094970703125, -0.7646484375, 0.37890625, -0.364990234375, 0.64306640625, -0.432373046875, -0.04644775390625, 0.130859375, 0.178955078125, -0.6767578125, -0.383544921875, -0.29296875, 1.1357421875, 0.17138671875, -0.3388671875, -0.413818359375, 0.20703125, 0.276611328125, 0.10809326171875, -0.5419921875, 0.238525390625, -0.1019287109375, 0.89599609375, -1.0087890625, -0.2137451171875, -0.382568359375, 0.48486328125, 0.425537109375, -0.341552734375, -0.60791015625, 0.88134765625, 0.73388671875, -0.1663818359375, 0.34326171875, 0.1602783203125, 0.469482421875, -0.057342529296875, -0.033599853515625, -0.43115234375, 0.67138671875, 0.493408203125, 0.62646484375, -0.0260009765625, 0.364990234375, 0.384033203125, -0.3974609375, -0.56201171875, 0.51611328125, 0.1195068359375, 0.0748291015625, 0.1431884765625, -0.265625, 0.0670166015625, 0.374755859375, -0.7353515625, 0.5009765625, -0.1995849609375, -0.251708984375, -0.685546875, -0.39404296875, 0.6552734375, -0.2296142578125, -0.25634765625, 0.3486328125, -0.4794921875, 0.11590576171875, 0.71240234375, 0.361328125, 0.041595458984375, 0.69775390625, 0.66259765625, 0.6884765625, 0.7197265625, 0.0229644775390625, 0.5009765625, -0.76123046875, 0.0433349609375, 0.1102294921875, -0.2452392578125, -0.12255859375, -0.313720703125, -0.469970703125, 0.537109375, 0.023529052734375, -0.383056640625, 0.58740234375, -0.491455078125, 0.03253173828125, -0.127197265625, 0.748046875, -0.814453125, 0.338623046875, 0.3564453125, -0.34375, -0.46142578125, 0.8173828125, -0.42919921875, 0.37060546875, 0.3564453125, 1.1181640625, 0.09185791015625, 1.26953125, 0.287109375, -0.1126708984375, -0.10919189453125, 0.36181640625, -0.1739501953125, -0.6767578125, -0.537109375, -0.20703125, 0.2607421875, -0.96875, -0.61181640625, -0.2841796875, 1.0302734375, -0.06884765625, -0.85107421875, 0.0302886962890625, -0.0077362060546875, -0.82666015625, 0.1552734375, 0.473876953125, 0.29150390625, -0.19970703125, -0.108642578125, -0.467529296875, -0.34326171875, -0.023101806640625, -0.302734375, 0.35986328125, -0.58154296875, -0.5458984375, -0.0635986328125, -0.931640625, -0.7509765625, 0.1971435546875, 0.1004638671875, -1.0732421875, 0.85302734375, 0.59423828125, 0.279541015625, 0.358642578125, -0.251220703125, 0.171630859375, 0.7373046875, 1.16796875, 0.085693359375, 0.87158203125, 0.4599609375, -0.705078125, -0.02032470703125, -0.57421875, 0.436279296875, -0.09527587890625, 0.419921875, -0.2222900390625, 0.64697265625, -0.343017578125, -1.11328125, -0.06390380859375, 0.3798828125, 0.830078125, -0.472412109375, -1.3857421875, -0.345703125, -1.09375, -0.1956787109375, -0.294677734375, 0.84423828125, 0.2235107421875, -0.2022705078125, 0.1385498046875, -0.8515625, 4.53515625, 0.9775390625, 1.0126953125, 0.474853515625, 0.65576171875, 1.03515625, 0.243408203125, -0.5771484375, -0.35498046875, -0.05316162109375, 0.482177734375, -0.361572265625, -0.1431884765625, 0.72314453125, 0.355712890625, 0.54443359375, -0.54541015625, 0.2105712890625, -0.231689453125, -0.8349609375, -0.5126953125, 0.412109375, 0.08514404296875, 0.1536865234375, 0.06884765625, 0.14013671875, 0.321533203125, -0.72998046875, -0.1240234375, -0.80615234375, 0.1798095703125, -0.53173828125, 0.8544921875, -0.07025146484375, -0.1212158203125, 0.63720703125, 0.007122039794921875, -0.6240234375, -0.118896484375, 0.06585693359375, -0.280517578125, 0.017913818359375, 0.67431640625, -0.6728515625, -0.03582763671875, 0.52685546875, -0.85791015625, 0.1826171875, 0.373291015625, -1.2734375, 0.8193359375, -0.1287841796875, 0.50537109375, -0.689453125, -1.0234375, 0.328369140625, -0.07342529296875, -0.078857421875, -0.189453125, 0.422119140625, 0.50537109375, 0.515625, 0.2291259765625, 0.464599609375, -0.97802734375, 0.912109375, -0.1575927734375, 0.55517578125, -0.59130859375, -0.208251953125, -0.420654296875, -0.12353515625, -0.356689453125, -0.02813720703125, 0.56884765625, 0.31884765625, -0.38671875, 0.50634765625, 0.57373046875, -0.681640625, 0.2464599609375, -0.2335205078125, -0.274658203125, -0.10455322265625, 0.736328125, 1.2109375, -0.74609375, -0.11651611328125, -0.626953125, 0.68212890625, 0.1729736328125, 0.60595703125, -0.2435302734375, -0.325927734375, -0.1285400390625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Limak is a little polar bear. He likes nice strings — strings of length n, consisting of lowercase English letters only. The distance between two letters is defined as the difference between their positions in the alphabet. For example, <image>, and <image>. Also, the distance between two nice strings is defined as the sum of distances of corresponding letters. For example, <image>, and <image>. Limak gives you a nice string s and an integer k. He challenges you to find any nice string s' that <image>. Find any s' satisfying the given conditions, or print "-1" if it's impossible to do so. As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ 106). The second line contains a string s of length n, consisting of lowercase English letters. Output If there is no string satisfying the given conditions then print "-1" (without the quotes). Otherwise, print any nice string s' that <image>. Examples Input 4 26 bear Output roar Input 2 7 af Output db Input 3 1000 hey Output -1 Tags: greedy, strings Correct Solution: ``` n, k = map(int, input().split()) b = list(input()) for i in range(n): x = ord('z') - ord(b[i]) y = ord(b[i]) - ord('a') if x > y: if k < x: x = k b[i] = chr(ord(b[i]) + x) k -= x else: if k < y: y = k b[i] = chr(ord(b[i]) - y) k -= y if k==0: break if k > 0: print (-1) else: s = ''.join(b) print (s) ```
7,978
[ 0.31396484375, 0.172607421875, 0.2744140625, 0.28759765625, -0.418701171875, -0.63818359375, 0.197021484375, 0.1494140625, -0.1832275390625, 0.71337890625, 0.62158203125, 0.0222625732421875, -0.14892578125, -0.81005859375, -0.4921875, -0.15283203125, -0.344970703125, -0.56103515625, -0.51416015625, -0.11639404296875, 0.09564208984375, -0.003658294677734375, -1.3349609375, -0.11865234375, -0.316162109375, 0.5712890625, 0.4833984375, 0.11285400390625, 0.9130859375, 0.83154296875, 0.09619140625, -0.405029296875, 0.33154296875, -1.1171875, -0.1395263671875, -0.391357421875, 0.74853515625, -0.884765625, -0.2012939453125, -0.5048828125, 0.40478515625, -0.54541015625, 0.31591796875, -0.6279296875, -0.916015625, -0.1334228515625, -0.2548828125, -0.5859375, -0.17529296875, -0.482666015625, 0.33837890625, -0.38427734375, 0.67236328125, -0.55224609375, -0.1300048828125, -0.251953125, 0.1712646484375, 0.07293701171875, -0.34619140625, 0.55224609375, -0.095703125, 0.119140625, 0.00516510009765625, -0.81689453125, -0.11962890625, -0.1817626953125, 0.10272216796875, -0.257080078125, -0.240234375, -0.40283203125, -0.320068359375, 0.310302734375, -0.46337890625, -0.384033203125, -0.436767578125, 0.043792724609375, 0.26513671875, 0.090576171875, -0.39013671875, 0.85693359375, 0.26318359375, 0.8251953125, 0.314453125, 0.183837890625, -0.332275390625, -0.533203125, 0.302978515625, 0.1759033203125, 0.1243896484375, -0.00023496150970458984, -0.153564453125, 0.67919921875, -0.97021484375, 0.13330078125, 0.70361328125, 0.446044921875, -0.10565185546875, 0.09503173828125, 0.045166015625, 0.187255859375, 0.734375, 0.80322265625, -0.01459503173828125, 1.03515625, -0.4677734375, 0.50146484375, -0.0458984375, -0.158447265625, -0.141845703125, -0.369384765625, -0.1630859375, -0.185302734375, 0.80322265625, 0.1732177734375, -0.1978759765625, 0.95703125, 0.04510498046875, 0.607421875, -0.59228515625, 0.2025146484375, 0.41845703125, 0.51318359375, 0.85009765625, -0.237060546875, -0.1424560546875, -0.199951171875, -0.1605224609375, 1.0107421875, -0.68212890625, -0.29150390625, 0.04437255859375, -0.278076171875, -0.315185546875, 0.1458740234375, -0.08978271484375, 0.6533203125, -0.2413330078125, 0.59228515625, 0.876953125, -0.611328125, 0.630859375, -0.122314453125, -0.31884765625, 1.3154296875, -0.053375244140625, 0.1688232421875, 0.6064453125, 0.64306640625, -0.70654296875, 0.254150390625, -1.142578125, 0.65625, 0.0235137939453125, 0.229248046875, -0.41748046875, 0.11749267578125, -0.2158203125, 0.250732421875, -0.032440185546875, -0.051605224609375, -0.45068359375, 0.1025390625, -0.388916015625, 0.88916015625, -0.1287841796875, 0.85498046875, -0.55078125, -0.389892578125, 0.1268310546875, -0.3037109375, 0.204833984375, -0.21728515625, -0.2322998046875, 0.7978515625, 0.47900390625, 1.0390625, 1.06640625, -0.0287017822265625, 0.419189453125, 0.5400390625, -0.419921875, 0.44384765625, -0.00022351741790771484, 0.483642578125, 0.1900634765625, 0.1944580078125, 0.1204833984375, -0.1756591796875, -0.8017578125, -0.52880859375, -0.025604248046875, 0.8115234375, -0.4423828125, -0.1328125, 0.15234375, 0.2159423828125, -0.9423828125, -0.04132080078125, 0.0180206298828125, -1.2080078125, -0.256103515625, 0.54296875, -0.1165771484375, 0.47021484375, -0.3505859375, -0.56884765625, 0.57373046875, 0.94775390625, -0.27099609375, -0.1978759765625, 0.42822265625, 0.466552734375, -0.222900390625, 0.1861572265625, -0.0244903564453125, -0.0265350341796875, -0.677734375, 0.72998046875, -0.16796875, 0.2369384765625, 0.137451171875, 0.26220703125, 0.2318115234375, 0.740234375, -0.3974609375, -0.355224609375, 0.5146484375, 0.6806640625, 0.032928466796875, 0.3359375, -0.239990234375, 1.0390625, 0.277587890625, 0.41015625, 0.7744140625, 0.45751953125, 0.68701171875, 0.60302734375, 0.27978515625, -0.1282958984375, -0.1121826171875, 0.56396484375, -0.031219482421875, 0.1793212890625, 0.192626953125, 0.270263671875, -0.010772705078125, 0.06756591796875, -0.251220703125, 0.359130859375, -0.07806396484375, 0.68798828125, 0.36376953125, 0.8232421875, -0.260498046875, -0.05157470703125, 0.10382080078125, 0.806640625, -0.796875, -0.1611328125, -0.42236328125, -0.050048828125, 0.26953125, -0.0865478515625, 0.2802734375, 0.3173828125, 0.139404296875, 0.359130859375, -0.28564453125, -0.5390625, -0.93115234375, -0.71044921875, -0.8525390625, -0.482666015625, -0.7998046875, -0.25537109375, 0.564453125, -1.0537109375, 0.179931640625, -0.3076171875, -0.46044921875, 0.03326416015625, -0.79296875, 0.452880859375, 0.01364898681640625, 0.70458984375, -0.51806640625, 0.26220703125, 0.5615234375, 1.056640625, -0.46875, -0.054168701171875, -0.284912109375, -0.50146484375, 0.332275390625, -0.279541015625, 0.5029296875, -0.1044921875, -0.460693359375, -0.6484375, -0.4130859375, -0.25146484375, -0.33984375, 0.12841796875, -0.37890625, 0.64501953125, 0.33447265625, -0.98291015625, 0.73046875, 1.0283203125, -0.5419921875, 0.31396484375, 0.11920166015625, 0.080322265625, -0.90283203125, 1.5263671875, 0.275146484375, 0.41064453125, -0.63330078125, -0.472900390625, -0.115234375, 0.05865478515625, 0.05316162109375, -0.1776123046875, -0.37451171875, 0.78857421875, -0.191162109375, -0.81689453125, 0.329345703125, -0.74853515625, -0.44287109375, -0.53955078125, -0.54833984375, 0.77490234375, 0.75244140625, 0.1737060546875, -0.1544189453125, -0.11749267578125, 0.054931640625, 0.75634765625, 0.357666015625, -0.501953125, 0.098876953125, 0.6611328125, 0.0215301513671875, 0.02362060546875, 0.206298828125, 0.06732177734375, -0.1221923828125, 0.279052734375, 0.032989501953125, 0.62646484375, 0.327392578125, 0.57861328125, 0.5234375, 0.84228515625, -0.841796875, -0.364990234375, -0.41650390625, 0.61083984375, 0.365966796875, 0.509765625, 0.5498046875, -0.29052734375, -0.6201171875, -1.091796875, 0.362060546875, -0.1373291015625, 0.6826171875, -0.8271484375, 0.79931640625, 0.0816650390625, -0.373291015625, 0.244384765625, -0.791015625, -0.5302734375, 0.8525390625, -0.246337890625, 0.822265625, -0.6689453125, 0.478515625, -0.11688232421875, -0.061859130859375, 0.98876953125, 0.1551513671875, 0.54736328125, -0.263916015625, -0.2352294921875, -0.6103515625, -0.57666015625, 0.202392578125, -0.427490234375, 0.1920166015625, -0.5869140625, -0.004329681396484375, -1.0390625, 0.318115234375, 0.326904296875, 0.78125, -0.10076904296875, 0.453857421875, 0.1220703125, 0.77685546875, 0.4970703125, -0.32373046875, 0.1995849609375, -0.5009765625, 0.61376953125, 0.126953125, -0.1583251953125, -0.625, -0.366455078125, -0.212890625, 0.03985595703125, 0.087646484375, -0.1607666015625, -0.92138671875, 0.2476806640625, -0.1766357421875, 0.60498046875, -0.5927734375, -0.357177734375, -0.1619873046875, 0.466796875, 0.27978515625, -1.34765625, 0.11114501953125, -0.418701171875, 0.9560546875, 0.4228515625, -0.326416015625, -0.254150390625, -0.53076171875, -0.495849609375, -0.61181640625, -0.051666259765625, 0.728515625, 0.11474609375, -0.0352783203125, -1.2626953125, 0.2822265625, 0.297119140625, 0.076171875, 0.221435546875, -0.1534423828125, 0.46337890625, -0.06158447265625, 0.5576171875, -0.4052734375, -0.658203125, -0.1256103515625, -1.359375, -0.10662841796875, -0.218017578125, 0.0205230712890625, -0.1583251953125, -0.1339111328125, -0.20654296875, 0.4873046875, -0.369384765625, 0.381103515625, -0.020538330078125, 0.55810546875, -0.93701171875, -0.95068359375, 0.54248046875, -0.42333984375, -0.2449951171875, 1.1728515625, -0.06756591796875, -0.384521484375, 0.306396484375, 0.442138671875, -0.60546875, 0.10906982421875, -0.6953125, 0.6875, -0.4375, -0.1256103515625, -0.33349609375, -0.6689453125, 0.5771484375, 0.228271484375, -0.83203125, -0.355224609375, -0.9560546875, -0.1295166015625, -0.11907958984375, -0.459716796875, 0.498779296875, -0.18115234375, -0.0273895263671875, -0.11114501953125, -0.1505126953125, -0.228515625, -0.1500244140625, -0.5673828125, -0.176513671875, 0.64599609375, 0.56298828125, 0.436767578125, -0.1356201171875, -0.439208984375, 0.03485107421875, -0.0479736328125, -0.1895751953125, -0.046112060546875, 0.07757568359375, -0.06365966796875, -0.184814453125, -0.0860595703125, 0.0408935546875, -0.099609375, 0.0330810546875, 0.49072265625, 0.4248046875, 0.5703125, 0.42529296875, -0.669921875, 1.1845703125, 0.1522216796875, -0.9091796875, -0.4404296875, 0.6240234375, -0.07513427734375, 0.2249755859375, 0.47705078125, -0.66796875, -0.79443359375, -0.81396484375, 0.34912109375, -0.35302734375, -0.270751953125, -1.232421875, -0.2734375, -0.023406982421875, 0.68115234375, -0.31396484375, -0.59716796875, 0.1943359375, -0.98388671875, 0.41650390625, -0.43798828125, -0.7353515625, -0.6826171875, -0.295166015625, -0.0899658203125, 1.0185546875, 0.1754150390625, 0.29638671875, -0.11737060546875, 0.02801513671875, 0.5126953125, 0.1807861328125, -0.4345703125, -0.2281494140625, -0.4521484375, 0.4287109375, 0.191650390625, -0.1015625, -0.33251953125, 0.436279296875, -0.7802734375, 0.1712646484375, -0.384521484375, -0.09759521484375, -0.1905517578125, -0.467529296875, 0.75048828125, -0.454833984375, -0.133544921875, -0.300537109375, 0.99853515625, 0.38916015625, -0.38232421875, -0.379150390625, -1.328125, -0.97265625, -1.2177734375, 0.68701171875, -0.449951171875, -0.1795654296875, -0.7421875, -0.0139923095703125, 1.0498046875, -0.36083984375, 0.5390625, 0.8720703125, 0.132568359375, -0.04638671875, -0.61572265625, 0.6171875, 0.572265625, -0.2685546875, -0.2705078125, 0.44189453125, -0.55712890625, 0.3447265625, 0.051361083984375, -1.1982421875, -0.833984375, 0.37353515625, 1.251953125, -0.279296875, 0.67822265625, 0.2939453125, -1.3046875, -0.54638671875, 0.76123046875, 0.27392578125, 0.489013671875, 1.23828125, -0.263427734375, -0.10638427734375, -0.039825439453125, -0.3681640625, -0.280517578125, -0.489501953125, 1.322265625, -0.56689453125, -0.54443359375, 0.42236328125, 1.09375, -1.068359375, -0.94970703125, 0.032806396484375, 0.1463623046875, -0.029205322265625, -0.6669921875, 0.09326171875, 0.282470703125, -0.61669921875, -0.0074615478515625, 0.404296875, 0.2315673828125, 0.55517578125, 0.300048828125, 0.4423828125, -0.2646484375, 0.40478515625, 0.62890625, -0.3779296875, -0.1546630859375, -0.88818359375, -0.09149169921875, -0.404296875, 0.01152801513671875, 0.8544921875, -0.373046875, 0.55126953125, 0.65380859375, -0.11236572265625, 0.7763671875, -0.137939453125, -0.701171875, 0.372802734375, -0.76220703125, -0.28564453125, 0.36669921875, 0.5498046875, -0.19677734375, 0.08648681640625, -0.69189453125, -0.352294921875, -0.0709228515625, 0.3388671875, -0.37646484375, -0.63427734375, -0.281005859375, -1.064453125, -0.6572265625, -0.58984375, -0.63330078125, -0.029266357421875, -0.11029052734375, 0.0065765380859375, -0.72119140625, 0.1585693359375, 0.359619140625, -0.529296875, 1.0166015625, -0.8154296875, 0.54296875, -0.64208984375, -0.3671875, -0.448486328125, -0.0849609375, -0.1278076171875, -0.04327392578125, -0.73828125, -0.0196380615234375, -0.02532958984375, 0.384765625, -0.14697265625, 0.46337890625, -0.2371826171875, -0.82568359375, -0.0163116455078125, 0.06658935546875, -0.03173828125, 0.3994140625, 0.36474609375, -0.1705322265625, 0.2066650390625, -0.0726318359375, -0.363037109375, -0.4765625, 0.50927734375, 0.276611328125, -0.0867919921875, -0.046142578125, -0.09967041015625, 0.40234375, -1.1123046875, -0.08868408203125, -0.143798828125, 0.21435546875, 0.1429443359375, -0.2398681640625, 0.35693359375, 1.02734375, 0.05291748046875, 0.00897216796875, 0.0791015625, 0.33349609375, 0.1446533203125, -0.0888671875, -0.047149658203125, 0.31396484375, 0.351806640625, -0.46826171875, 0.2044677734375, 0.1988525390625, 0.01983642578125, 0.1456298828125, -0.1580810546875, -0.6328125, -0.53125, -0.6787109375, -0.54248046875, 0.35498046875, 0.103271484375, -0.4560546875, 0.09405517578125, -0.02008056640625, -0.09857177734375, 0.24560546875, -1.1640625, -0.6669921875, 0.152099609375, -0.230224609375, -0.728515625, -0.11834716796875, -0.285888671875, -0.2388916015625, 0.005695343017578125, 0.1541748046875, -0.7568359375, 0.345458984375, -0.361083984375, 0.6796875, -0.375, -0.0745849609375, 0.13427734375, 0.206298828125, -0.6787109375, -0.34716796875, -0.339111328125, 1.0576171875, 0.166259765625, -0.337158203125, -0.38916015625, 0.1734619140625, 0.2998046875, 0.11309814453125, -0.57958984375, 0.2340087890625, -0.09063720703125, 0.91845703125, -0.97998046875, -0.158203125, -0.3544921875, 0.477294921875, 0.388427734375, -0.2998046875, -0.5771484375, 0.88525390625, 0.74755859375, -0.18603515625, 0.335693359375, 0.1376953125, 0.52294921875, -0.09088134765625, -0.059906005859375, -0.4638671875, 0.66845703125, 0.50048828125, 0.5830078125, 0.005542755126953125, 0.372314453125, 0.368896484375, -0.361328125, -0.56982421875, 0.5517578125, 0.07855224609375, 0.0736083984375, 0.11077880859375, -0.255615234375, 0.10052490234375, 0.393798828125, -0.67138671875, 0.474609375, -0.1986083984375, -0.24560546875, -0.666015625, -0.39794921875, 0.6845703125, -0.283203125, -0.25439453125, 0.28955078125, -0.494873046875, 0.13134765625, 0.68798828125, 0.3525390625, 0.0149993896484375, 0.70166015625, 0.67138671875, 0.65673828125, 0.708984375, 0.01042938232421875, 0.474853515625, -0.7919921875, 0.010833740234375, 0.1033935546875, -0.25048828125, -0.1258544921875, -0.33056640625, -0.442626953125, 0.5322265625, 0.06988525390625, -0.414306640625, 0.5439453125, -0.464599609375, 0.047515869140625, -0.0810546875, 0.75244140625, -0.83154296875, 0.352294921875, 0.3369140625, -0.316650390625, -0.44091796875, 0.81298828125, -0.440185546875, 0.29931640625, 0.411865234375, 1.0869140625, 0.07061767578125, 1.228515625, 0.272705078125, -0.1575927734375, -0.11553955078125, 0.3779296875, -0.2220458984375, -0.61083984375, -0.560546875, -0.2083740234375, 0.2183837890625, -0.95166015625, -0.58203125, -0.314697265625, 1.013671875, -0.0814208984375, -0.8037109375, -0.003925323486328125, -0.015350341796875, -0.79248046875, 0.1512451171875, 0.422119140625, 0.303955078125, -0.180419921875, -0.1060791015625, -0.457763671875, -0.348876953125, -0.01096343994140625, -0.33251953125, 0.313232421875, -0.55078125, -0.59521484375, -0.0347900390625, -0.9443359375, -0.75, 0.1865234375, 0.11407470703125, -1.05859375, 0.8349609375, 0.64208984375, 0.26318359375, 0.3427734375, -0.282470703125, 0.1741943359375, 0.6826171875, 1.1923828125, 0.09503173828125, 0.830078125, 0.454345703125, -0.6298828125, -0.03765869140625, -0.5576171875, 0.425048828125, -0.04443359375, 0.453125, -0.181640625, 0.68505859375, -0.37451171875, -1.107421875, -0.0916748046875, 0.3447265625, 0.7705078125, -0.5078125, -1.3701171875, -0.32763671875, -1.056640625, -0.1956787109375, -0.3173828125, 0.83349609375, 0.23779296875, -0.203125, 0.0826416015625, -0.86083984375, 4.578125, 0.9287109375, 0.98388671875, 0.45556640625, 0.64501953125, 1.052734375, 0.20703125, -0.59814453125, -0.361572265625, -0.10296630859375, 0.5185546875, -0.354248046875, -0.1719970703125, 0.71435546875, 0.361572265625, 0.57275390625, -0.53369140625, 0.21533203125, -0.2271728515625, -0.84619140625, -0.50146484375, 0.38232421875, 0.141357421875, 0.1083984375, 0.042633056640625, 0.125244140625, 0.30419921875, -0.75244140625, -0.14453125, -0.822265625, 0.1451416015625, -0.52880859375, 0.83251953125, -0.071533203125, -0.1414794921875, 0.64208984375, 0.04559326171875, -0.599609375, -0.09649658203125, 0.09613037109375, -0.268310546875, 0.0022029876708984375, 0.68505859375, -0.7109375, -0.00814056396484375, 0.493896484375, -0.875, 0.1871337890625, 0.33544921875, -1.240234375, 0.80029296875, -0.12237548828125, 0.5078125, -0.634765625, -0.98388671875, 0.3427734375, -0.0268402099609375, -0.12298583984375, -0.19580078125, 0.40283203125, 0.53271484375, 0.484619140625, 0.212158203125, 0.449951171875, -0.95068359375, 0.931640625, -0.1517333984375, 0.53857421875, -0.6064453125, -0.1612548828125, -0.405517578125, -0.128173828125, -0.3974609375, -0.022674560546875, 0.58447265625, 0.29345703125, -0.342041015625, 0.51123046875, 0.53857421875, -0.662109375, 0.29345703125, -0.21142578125, -0.259521484375, -0.04803466796875, 0.73193359375, 1.177734375, -0.7421875, -0.059326171875, -0.61865234375, 0.6845703125, 0.176025390625, 0.609375, -0.2442626953125, -0.349609375, -0.13232421875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Limak is a little polar bear. He likes nice strings — strings of length n, consisting of lowercase English letters only. The distance between two letters is defined as the difference between their positions in the alphabet. For example, <image>, and <image>. Also, the distance between two nice strings is defined as the sum of distances of corresponding letters. For example, <image>, and <image>. Limak gives you a nice string s and an integer k. He challenges you to find any nice string s' that <image>. Find any s' satisfying the given conditions, or print "-1" if it's impossible to do so. As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ 106). The second line contains a string s of length n, consisting of lowercase English letters. Output If there is no string satisfying the given conditions then print "-1" (without the quotes). Otherwise, print any nice string s' that <image>. Examples Input 4 26 bear Output roar Input 2 7 af Output db Input 3 1000 hey Output -1 Tags: greedy, strings Correct Solution: ``` n,k = map(int,input().split()) s = input() s = list(s) for i in range(n): if ord(s[i])>=110: m = min(ord(s[i])-97,k) k-=m s[i]=chr(ord(s[i])-m) else: m = min(122-ord(s[i]),k) k-=m s[i]=chr(ord(s[i])+m) if k>0: print(-1) else: print(''.join(s)) ```
7,979
[ 0.31005859375, 0.181640625, 0.2364501953125, 0.297119140625, -0.431396484375, -0.646484375, 0.199462890625, 0.1671142578125, -0.1810302734375, 0.70068359375, 0.6259765625, 0.0214385986328125, -0.1568603515625, -0.8232421875, -0.495361328125, -0.1480712890625, -0.337158203125, -0.57080078125, -0.5439453125, -0.1448974609375, 0.0662841796875, 0.0209197998046875, -1.3291015625, -0.142333984375, -0.339599609375, 0.580078125, 0.51171875, 0.11798095703125, 0.9189453125, 0.8076171875, 0.127685546875, -0.415771484375, 0.333251953125, -1.1513671875, -0.11248779296875, -0.385498046875, 0.76220703125, -0.86328125, -0.1942138671875, -0.475830078125, 0.4130859375, -0.55322265625, 0.35009765625, -0.6396484375, -0.890625, -0.13720703125, -0.2568359375, -0.60107421875, -0.1553955078125, -0.46875, 0.326904296875, -0.38720703125, 0.68212890625, -0.58251953125, -0.11962890625, -0.25830078125, 0.1441650390625, 0.0533447265625, -0.352783203125, 0.55322265625, -0.07135009765625, 0.12274169921875, 0.018218994140625, -0.8173828125, -0.146484375, -0.16357421875, 0.129150390625, -0.26708984375, -0.2445068359375, -0.419921875, -0.27294921875, 0.330810546875, -0.437255859375, -0.379638671875, -0.414306640625, 0.057830810546875, 0.28857421875, 0.07012939453125, -0.428466796875, 0.84423828125, 0.286865234375, 0.83154296875, 0.31298828125, 0.1690673828125, -0.351318359375, -0.5576171875, 0.281005859375, 0.1649169921875, 0.1427001953125, -0.04034423828125, -0.1329345703125, 0.6904296875, -0.94921875, 0.118408203125, 0.6943359375, 0.435546875, -0.1348876953125, 0.0704345703125, 0.041229248046875, 0.174560546875, 0.728515625, 0.7861328125, 0.010528564453125, 1.0263671875, -0.48388671875, 0.5009765625, -0.0452880859375, -0.1871337890625, -0.147705078125, -0.33154296875, -0.1739501953125, -0.1807861328125, 0.81640625, 0.19189453125, -0.1995849609375, 0.96337890625, 0.044342041015625, 0.6044921875, -0.60205078125, 0.228515625, 0.406005859375, 0.4951171875, 0.81982421875, -0.257568359375, -0.1356201171875, -0.2012939453125, -0.1517333984375, 1.0302734375, -0.69970703125, -0.271240234375, 0.04571533203125, -0.265625, -0.292724609375, 0.156982421875, -0.0623779296875, 0.6650390625, -0.280517578125, 0.5888671875, 0.90576171875, -0.6328125, 0.6171875, -0.1253662109375, -0.34375, 1.3251953125, -0.0513916015625, 0.2144775390625, 0.6376953125, 0.66357421875, -0.70947265625, 0.26123046875, -1.13671875, 0.66845703125, 0.016357421875, 0.2392578125, -0.38720703125, 0.09796142578125, -0.224853515625, 0.245849609375, -0.0360107421875, -0.051849365234375, -0.4541015625, 0.10723876953125, -0.388916015625, 0.90234375, -0.1317138671875, 0.841796875, -0.53515625, -0.401123046875, 0.1343994140625, -0.335693359375, 0.1871337890625, -0.213134765625, -0.258544921875, 0.80908203125, 0.4384765625, 1.0498046875, 1.0849609375, -0.0117340087890625, 0.40966796875, 0.5361328125, -0.4150390625, 0.467041015625, 0.00623321533203125, 0.499267578125, 0.1641845703125, 0.2353515625, 0.1300048828125, -0.1973876953125, -0.81298828125, -0.552734375, -0.03399658203125, 0.8115234375, -0.419677734375, -0.163818359375, 0.1405029296875, 0.198486328125, -0.9140625, -0.0165557861328125, 0.016387939453125, -1.224609375, -0.273193359375, 0.53271484375, -0.10369873046875, 0.494873046875, -0.351806640625, -0.587890625, 0.56396484375, 0.96923828125, -0.287109375, -0.2337646484375, 0.4541015625, 0.448974609375, -0.2044677734375, 0.189208984375, -0.01800537109375, -0.02215576171875, -0.6630859375, 0.7705078125, -0.1795654296875, 0.2110595703125, 0.12939453125, 0.277099609375, 0.2193603515625, 0.72998046875, -0.41064453125, -0.344482421875, 0.4951171875, 0.67626953125, 0.027313232421875, 0.31396484375, -0.2587890625, 1.0439453125, 0.255859375, 0.39013671875, 0.79296875, 0.43408203125, 0.6728515625, 0.607421875, 0.27734375, -0.119140625, -0.11163330078125, 0.55224609375, -0.0264434814453125, 0.17041015625, 0.1805419921875, 0.26318359375, 0.016937255859375, 0.07318115234375, -0.2408447265625, 0.37646484375, -0.09326171875, 0.67626953125, 0.388671875, 0.8232421875, -0.25537109375, -0.0382080078125, 0.135498046875, 0.8076171875, -0.76953125, -0.1378173828125, -0.43115234375, -0.049163818359375, 0.2744140625, -0.0860595703125, 0.279052734375, 0.332763671875, 0.13623046875, 0.392333984375, -0.278076171875, -0.5498046875, -0.94970703125, -0.70703125, -0.87548828125, -0.4892578125, -0.78955078125, -0.2440185546875, 0.56298828125, -1.048828125, 0.1744384765625, -0.3310546875, -0.44482421875, 0.027923583984375, -0.7900390625, 0.456298828125, -0.01216888427734375, 0.69384765625, -0.51416015625, 0.26025390625, 0.556640625, 1.064453125, -0.446533203125, -0.049713134765625, -0.257568359375, -0.501953125, 0.32373046875, -0.300048828125, 0.5146484375, -0.1151123046875, -0.453369140625, -0.65087890625, -0.42919921875, -0.27587890625, -0.301025390625, 0.1458740234375, -0.40576171875, 0.6376953125, 0.340576171875, -0.96826171875, 0.71533203125, 1.03515625, -0.548828125, 0.319091796875, 0.09100341796875, 0.04949951171875, -0.9169921875, 1.5283203125, 0.250244140625, 0.424560546875, -0.64453125, -0.4833984375, -0.0760498046875, 0.06268310546875, 0.06243896484375, -0.1923828125, -0.361083984375, 0.78857421875, -0.1834716796875, -0.79833984375, 0.34619140625, -0.7548828125, -0.4404296875, -0.51806640625, -0.5703125, 0.775390625, 0.751953125, 0.2047119140625, -0.153076171875, -0.1522216796875, 0.03680419921875, 0.7802734375, 0.362060546875, -0.497314453125, 0.07171630859375, 0.68798828125, -0.0291748046875, 0.05157470703125, 0.1922607421875, 0.08758544921875, -0.12451171875, 0.285400390625, 0.056671142578125, 0.62744140625, 0.33251953125, 0.578125, 0.52392578125, 0.84375, -0.822265625, -0.38330078125, -0.401123046875, 0.634765625, 0.361083984375, 0.50048828125, 0.5615234375, -0.273681640625, -0.6435546875, -1.0947265625, 0.377685546875, -0.1561279296875, 0.67041015625, -0.83154296875, 0.7919921875, 0.09234619140625, -0.3857421875, 0.251220703125, -0.78564453125, -0.51904296875, 0.85107421875, -0.2890625, 0.8154296875, -0.68115234375, 0.494140625, -0.1466064453125, -0.0703125, 0.98486328125, 0.15478515625, 0.546875, -0.300537109375, -0.2493896484375, -0.60400390625, -0.6044921875, 0.1861572265625, -0.42138671875, 0.1627197265625, -0.6025390625, 0.0253448486328125, -1.033203125, 0.304931640625, 0.324462890625, 0.763671875, -0.0927734375, 0.458740234375, 0.131591796875, 0.78857421875, 0.485107421875, -0.3310546875, 0.1942138671875, -0.49853515625, 0.61279296875, 0.1204833984375, -0.1513671875, -0.6328125, -0.35693359375, -0.225341796875, 0.06011962890625, 0.08135986328125, -0.1883544921875, -0.92724609375, 0.269287109375, -0.1890869140625, 0.5859375, -0.5771484375, -0.34765625, -0.1590576171875, 0.453369140625, 0.283935546875, -1.3349609375, 0.1312255859375, -0.42138671875, 0.9736328125, 0.464599609375, -0.33251953125, -0.257080078125, -0.5166015625, -0.493408203125, -0.61669921875, -0.05023193359375, 0.740234375, 0.1318359375, -0.025238037109375, -1.2763671875, 0.293701171875, 0.310546875, 0.06536865234375, 0.20654296875, -0.1273193359375, 0.4326171875, -0.0771484375, 0.52880859375, -0.371826171875, -0.68017578125, -0.0968017578125, -1.3662109375, -0.10650634765625, -0.2425537109375, 0.0154571533203125, -0.1378173828125, -0.1429443359375, -0.1998291015625, 0.492431640625, -0.3984375, 0.370361328125, -0.05792236328125, 0.568359375, -0.93017578125, -0.95263671875, 0.55224609375, -0.42333984375, -0.2685546875, 1.1865234375, -0.0867919921875, -0.38916015625, 0.318115234375, 0.445068359375, -0.609375, 0.10833740234375, -0.6826171875, 0.69873046875, -0.461669921875, -0.11181640625, -0.34912109375, -0.697265625, 0.60107421875, 0.2437744140625, -0.83203125, -0.34423828125, -0.9609375, -0.1583251953125, -0.0958251953125, -0.4638671875, 0.495849609375, -0.178466796875, -0.034271240234375, -0.0919189453125, -0.162353515625, -0.212890625, -0.12396240234375, -0.56005859375, -0.189697265625, 0.6591796875, 0.58056640625, 0.422607421875, -0.159912109375, -0.471435546875, 0.03143310546875, -0.0293121337890625, -0.21435546875, -0.050994873046875, 0.09027099609375, -0.0733642578125, -0.1959228515625, -0.07989501953125, 0.03265380859375, -0.0958251953125, 0.039642333984375, 0.490234375, 0.416748046875, 0.58251953125, 0.420654296875, -0.681640625, 1.1630859375, 0.1319580078125, -0.904296875, -0.4365234375, 0.61962890625, -0.055419921875, 0.23779296875, 0.4794921875, -0.6572265625, -0.810546875, -0.8212890625, 0.357177734375, -0.3310546875, -0.246826171875, -1.2646484375, -0.276123046875, -0.044952392578125, 0.68115234375, -0.341064453125, -0.60205078125, 0.198486328125, -0.96240234375, 0.416259765625, -0.43994140625, -0.7080078125, -0.6904296875, -0.306640625, -0.10284423828125, 0.99853515625, 0.183349609375, 0.327392578125, -0.1192626953125, 0.02227783203125, 0.488525390625, 0.2022705078125, -0.43505859375, -0.2098388671875, -0.435546875, 0.43603515625, 0.1893310546875, -0.1419677734375, -0.342041015625, 0.4375, -0.80322265625, 0.1693115234375, -0.3984375, -0.078369140625, -0.1761474609375, -0.490234375, 0.76220703125, -0.448486328125, -0.10699462890625, -0.296630859375, 1.0126953125, 0.41650390625, -0.38525390625, -0.373291015625, -1.3388671875, -0.98193359375, -1.1845703125, 0.70556640625, -0.442138671875, -0.1475830078125, -0.7548828125, 0.0004024505615234375, 1.05859375, -0.375, 0.55712890625, 0.88623046875, 0.1121826171875, -0.05963134765625, -0.6416015625, 0.615234375, 0.5546875, -0.2474365234375, -0.26904296875, 0.429443359375, -0.54150390625, 0.326904296875, 0.04559326171875, -1.2138671875, -0.8408203125, 0.384765625, 1.2470703125, -0.27490234375, 0.669921875, 0.306640625, -1.326171875, -0.55322265625, 0.80126953125, 0.268798828125, 0.490966796875, 1.23828125, -0.239501953125, -0.09521484375, -0.056793212890625, -0.343994140625, -0.264892578125, -0.47265625, 1.3134765625, -0.57861328125, -0.5380859375, 0.4111328125, 1.126953125, -1.083984375, -0.93701171875, 0.025604248046875, 0.1524658203125, -0.030364990234375, -0.681640625, 0.0654296875, 0.295166015625, -0.61474609375, 0.005069732666015625, 0.41162109375, 0.234619140625, 0.54150390625, 0.29150390625, 0.439208984375, -0.271728515625, 0.391357421875, 0.61328125, -0.375244140625, -0.1488037109375, -0.89794921875, -0.0833740234375, -0.396484375, 0.02197265625, 0.869140625, -0.383056640625, 0.56884765625, 0.677734375, -0.12420654296875, 0.7763671875, -0.1531982421875, -0.67919921875, 0.372802734375, -0.736328125, -0.282958984375, 0.32666015625, 0.55029296875, -0.20703125, 0.1197509765625, -0.65478515625, -0.352783203125, -0.0732421875, 0.358154296875, -0.379638671875, -0.59814453125, -0.252197265625, -1.0478515625, -0.654296875, -0.583984375, -0.58740234375, -0.03155517578125, -0.09503173828125, 0.041961669921875, -0.72705078125, 0.154541015625, 0.364501953125, -0.509765625, 1.0205078125, -0.82421875, 0.5224609375, -0.67578125, -0.36962890625, -0.45068359375, -0.068115234375, -0.1162109375, -0.0404052734375, -0.74072265625, 0.017913818359375, -0.0003368854522705078, 0.39794921875, -0.1446533203125, 0.451416015625, -0.2431640625, -0.8203125, 0.0031642913818359375, 0.05767822265625, -0.01605224609375, 0.378662109375, 0.368896484375, -0.173583984375, 0.205810546875, -0.053955078125, -0.348876953125, -0.492431640625, 0.480712890625, 0.294677734375, -0.08709716796875, -0.0565185546875, -0.102783203125, 0.42138671875, -1.087890625, -0.08056640625, -0.1624755859375, 0.1953125, 0.171142578125, -0.241943359375, 0.331787109375, 1.0146484375, 0.06353759765625, -0.0169677734375, 0.057861328125, 0.316162109375, 0.1441650390625, -0.11163330078125, -0.038665771484375, 0.327392578125, 0.337646484375, -0.47412109375, 0.208740234375, 0.2027587890625, 0.0293121337890625, 0.17431640625, -0.1873779296875, -0.6220703125, -0.541015625, -0.70751953125, -0.52978515625, 0.3544921875, 0.09967041015625, -0.44921875, 0.08953857421875, -0.0279541015625, -0.095703125, 0.250244140625, -1.1650390625, -0.66650390625, 0.169189453125, -0.1925048828125, -0.73046875, -0.11334228515625, -0.27734375, -0.215576171875, 0.0185699462890625, 0.153564453125, -0.7666015625, 0.36279296875, -0.39013671875, 0.6962890625, -0.417724609375, -0.0703125, 0.13525390625, 0.2178955078125, -0.66796875, -0.352294921875, -0.3203125, 1.083984375, 0.1585693359375, -0.312255859375, -0.404296875, 0.1717529296875, 0.30712890625, 0.1142578125, -0.595703125, 0.201171875, -0.0882568359375, 0.93994140625, -0.97265625, -0.1683349609375, -0.3662109375, 0.494873046875, 0.390625, -0.30029296875, -0.6103515625, 0.87890625, 0.74365234375, -0.1763916015625, 0.367919921875, 0.134033203125, 0.50146484375, -0.09503173828125, -0.054840087890625, -0.4716796875, 0.69482421875, 0.49853515625, 0.6025390625, 0.005596160888671875, 0.36865234375, 0.373779296875, -0.40869140625, -0.54248046875, 0.546875, 0.05194091796875, 0.06793212890625, 0.147216796875, -0.275634765625, 0.08648681640625, 0.397216796875, -0.67431640625, 0.4921875, -0.18505859375, -0.265869140625, -0.6767578125, -0.409423828125, 0.69921875, -0.25048828125, -0.2432861328125, 0.301025390625, -0.4833984375, 0.10260009765625, 0.68994140625, 0.34130859375, 0.01947021484375, 0.7080078125, 0.6669921875, 0.669921875, 0.724609375, 0.017333984375, 0.47216796875, -0.7919921875, 0.069091796875, 0.09906005859375, -0.26708984375, -0.1309814453125, -0.348876953125, -0.438720703125, 0.54052734375, 0.0872802734375, -0.41650390625, 0.5625, -0.494384765625, 0.0567626953125, -0.08233642578125, 0.74462890625, -0.84326171875, 0.3671875, 0.346923828125, -0.326416015625, -0.446044921875, 0.8212890625, -0.457275390625, 0.326171875, 0.396728515625, 1.1201171875, 0.0946044921875, 1.2578125, 0.30419921875, -0.146240234375, -0.1240234375, 0.39501953125, -0.2320556640625, -0.60107421875, -0.5615234375, -0.193603515625, 0.24853515625, -0.95458984375, -0.59326171875, -0.331787109375, 1.0263671875, -0.07525634765625, -0.806640625, 0.0202789306640625, -0.0167999267578125, -0.81201171875, 0.12396240234375, 0.431396484375, 0.283447265625, -0.1859130859375, -0.091796875, -0.47216796875, -0.363525390625, -0.0267486572265625, -0.3212890625, 0.337646484375, -0.59423828125, -0.59033203125, -0.06329345703125, -0.93896484375, -0.75390625, 0.16748046875, 0.12060546875, -1.0869140625, 0.81884765625, 0.61572265625, 0.28076171875, 0.34423828125, -0.265625, 0.1475830078125, 0.6875, 1.15625, 0.10382080078125, 0.82470703125, 0.462158203125, -0.64990234375, -0.059295654296875, -0.5810546875, 0.427978515625, -0.08563232421875, 0.48486328125, -0.2236328125, 0.68505859375, -0.373046875, -1.1259765625, -0.07806396484375, 0.371826171875, 0.7822265625, -0.50732421875, -1.357421875, -0.34423828125, -1.05859375, -0.202880859375, -0.31982421875, 0.85107421875, 0.2388916015625, -0.2010498046875, 0.06646728515625, -0.8818359375, 4.55859375, 0.94921875, 0.998046875, 0.479736328125, 0.646484375, 1.0322265625, 0.2265625, -0.5869140625, -0.36328125, -0.074951171875, 0.54541015625, -0.352294921875, -0.1751708984375, 0.72021484375, 0.380126953125, 0.5771484375, -0.51708984375, 0.2042236328125, -0.2147216796875, -0.87841796875, -0.476318359375, 0.375, 0.134765625, 0.1148681640625, 0.04498291015625, 0.128173828125, 0.303955078125, -0.75244140625, -0.1407470703125, -0.810546875, 0.1739501953125, -0.5751953125, 0.84326171875, -0.0567626953125, -0.130126953125, 0.638671875, 0.00870513916015625, -0.578125, -0.092529296875, 0.0928955078125, -0.26123046875, 0.020050048828125, 0.6767578125, -0.7177734375, -0.0179443359375, 0.51171875, -0.853515625, 0.2147216796875, 0.34326171875, -1.2568359375, 0.81494140625, -0.1292724609375, 0.498779296875, -0.64404296875, -1.029296875, 0.37158203125, -0.044464111328125, -0.136474609375, -0.192626953125, 0.43408203125, 0.5107421875, 0.488037109375, 0.2080078125, 0.45361328125, -0.98486328125, 0.91845703125, -0.1636962890625, 0.529296875, -0.6064453125, -0.159423828125, -0.403076171875, -0.1566162109375, -0.403076171875, -0.0152587890625, 0.5712890625, 0.29541015625, -0.342041015625, 0.51171875, 0.54736328125, -0.6767578125, 0.24267578125, -0.201904296875, -0.2509765625, -0.06988525390625, 0.7177734375, 1.1845703125, -0.75830078125, -0.06903076171875, -0.64501953125, 0.662109375, 0.1688232421875, 0.60107421875, -0.239990234375, -0.373779296875, -0.1419677734375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Limak is a little polar bear. He likes nice strings — strings of length n, consisting of lowercase English letters only. The distance between two letters is defined as the difference between their positions in the alphabet. For example, <image>, and <image>. Also, the distance between two nice strings is defined as the sum of distances of corresponding letters. For example, <image>, and <image>. Limak gives you a nice string s and an integer k. He challenges you to find any nice string s' that <image>. Find any s' satisfying the given conditions, or print "-1" if it's impossible to do so. As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ 106). The second line contains a string s of length n, consisting of lowercase English letters. Output If there is no string satisfying the given conditions then print "-1" (without the quotes). Otherwise, print any nice string s' that <image>. Examples Input 4 26 bear Output roar Input 2 7 af Output db Input 3 1000 hey Output -1 Tags: greedy, strings Correct Solution: ``` import collections import math n, k = map(int, input().split()) s = input() ss = [] t = 0 for i in range(len(s)): t += max(abs(ord('a') - ord(s[i])), abs(ord('z') - ord(s[i]))) if k > t: print(-1) exit(0) else: for i in range(len(s)): if k == 0: ss.append(s[i]) continue x, y = abs(ord('a') - ord(s[i])), abs(ord('z') - ord(s[i])) if x >= y: if k >= x: ss.append('a') k -= x else: ss.append(chr(ord(s[i]) - k)) k = 0 else: if k >= y: ss.append('z') k -= y else: ss.append(chr(ord(s[i]) + k)) k = 0 print(''.join(ss)) ```
7,980
[ 0.29931640625, 0.232421875, 0.25439453125, 0.2841796875, -0.416259765625, -0.6083984375, 0.174072265625, 0.142333984375, -0.182373046875, 0.7138671875, 0.5986328125, -0.002872467041015625, -0.1480712890625, -0.7939453125, -0.46875, -0.1124267578125, -0.34765625, -0.576171875, -0.5400390625, -0.141357421875, 0.07794189453125, 0.01151275634765625, -1.3291015625, -0.166259765625, -0.3349609375, 0.59033203125, 0.505859375, 0.12115478515625, 0.91064453125, 0.83984375, 0.140625, -0.400390625, 0.326416015625, -1.140625, -0.130615234375, -0.380126953125, 0.74560546875, -0.86767578125, -0.1705322265625, -0.480712890625, 0.432373046875, -0.56689453125, 0.338134765625, -0.646484375, -0.92724609375, -0.10736083984375, -0.253173828125, -0.5859375, -0.13232421875, -0.4619140625, 0.3486328125, -0.389892578125, 0.65966796875, -0.564453125, -0.154052734375, -0.253662109375, 0.138916015625, 0.02984619140625, -0.354736328125, 0.5498046875, -0.0704345703125, 0.1015625, 0.0290679931640625, -0.8037109375, -0.120849609375, -0.165771484375, 0.105224609375, -0.266357421875, -0.27392578125, -0.397216796875, -0.301513671875, 0.33837890625, -0.4384765625, -0.400390625, -0.4267578125, 0.076416015625, 0.270263671875, 0.0491943359375, -0.426025390625, 0.82666015625, 0.26220703125, 0.8369140625, 0.326416015625, 0.197998046875, -0.323974609375, -0.56201171875, 0.305419921875, 0.1839599609375, 0.1475830078125, -0.01284027099609375, -0.1534423828125, 0.69091796875, -0.953125, 0.1646728515625, 0.69873046875, 0.468017578125, -0.13134765625, 0.10760498046875, 0.0650634765625, 0.1416015625, 0.7294921875, 0.7744140625, -0.019805908203125, 1.01953125, -0.454833984375, 0.52978515625, -0.0447998046875, -0.170166015625, -0.1649169921875, -0.3798828125, -0.147216796875, -0.1904296875, 0.83544921875, 0.1839599609375, -0.194091796875, 0.95849609375, 0.06036376953125, 0.607421875, -0.58251953125, 0.204833984375, 0.397705078125, 0.5068359375, 0.8388671875, -0.254638671875, -0.168212890625, -0.1873779296875, -0.1397705078125, 1.0244140625, -0.662109375, -0.28466796875, 0.04437255859375, -0.25439453125, -0.309326171875, 0.1888427734375, -0.07745361328125, 0.62255859375, -0.2578125, 0.5947265625, 0.9130859375, -0.6171875, 0.61474609375, -0.09112548828125, -0.30615234375, 1.32421875, -0.059326171875, 0.1719970703125, 0.6171875, 0.62255859375, -0.7060546875, 0.247314453125, -1.12890625, 0.63671875, 0.035858154296875, 0.2349853515625, -0.3916015625, 0.126953125, -0.22412109375, 0.2091064453125, -0.0241546630859375, -0.051055908203125, -0.46533203125, 0.12420654296875, -0.40087890625, 0.89990234375, -0.10333251953125, 0.84423828125, -0.55615234375, -0.422607421875, 0.1351318359375, -0.316650390625, 0.1904296875, -0.223876953125, -0.278076171875, 0.80078125, 0.455078125, 1.0419921875, 1.0654296875, -0.016021728515625, 0.439208984375, 0.54541015625, -0.40966796875, 0.4794921875, 0.02685546875, 0.5078125, 0.1611328125, 0.1982421875, 0.1285400390625, -0.184814453125, -0.83349609375, -0.541015625, -0.02471923828125, 0.8212890625, -0.42724609375, -0.172119140625, 0.1341552734375, 0.1953125, -0.9228515625, -0.039154052734375, -0.0006728172302246094, -1.16015625, -0.276611328125, 0.56103515625, -0.1011962890625, 0.46533203125, -0.3330078125, -0.55078125, 0.55859375, 0.92919921875, -0.29345703125, -0.2125244140625, 0.470703125, 0.46484375, -0.2288818359375, 0.2027587890625, -0.0103607177734375, -0.046661376953125, -0.71533203125, 0.76220703125, -0.1583251953125, 0.2183837890625, 0.11181640625, 0.244140625, 0.2183837890625, 0.75390625, -0.385498046875, -0.352294921875, 0.5029296875, 0.68212890625, 0.03851318359375, 0.31201171875, -0.263427734375, 1.029296875, 0.252197265625, 0.38818359375, 0.80810546875, 0.444091796875, 0.6884765625, 0.61328125, 0.281005859375, -0.1064453125, -0.099365234375, 0.5634765625, -0.06378173828125, 0.16943359375, 0.1527099609375, 0.26416015625, 0.0108184814453125, 0.0709228515625, -0.245849609375, 0.3837890625, -0.11358642578125, 0.70751953125, 0.388671875, 0.81298828125, -0.2529296875, -0.03955078125, 0.1671142578125, 0.775390625, -0.78271484375, -0.11773681640625, -0.403076171875, -0.04248046875, 0.247802734375, -0.066650390625, 0.263916015625, 0.304443359375, 0.0775146484375, 0.321533203125, -0.28369140625, -0.53369140625, -0.96728515625, -0.7236328125, -0.8798828125, -0.481201171875, -0.787109375, -0.2158203125, 0.5380859375, -1.0322265625, 0.1556396484375, -0.3056640625, -0.4296875, 0.045562744140625, -0.7890625, 0.470947265625, 0.0261077880859375, 0.74609375, -0.52490234375, 0.252685546875, 0.54345703125, 1.052734375, -0.46337890625, -0.0382080078125, -0.251708984375, -0.51123046875, 0.359375, -0.27490234375, 0.499267578125, -0.131103515625, -0.431640625, -0.619140625, -0.437744140625, -0.2469482421875, -0.33203125, 0.10333251953125, -0.394287109375, 0.609375, 0.3720703125, -0.98583984375, 0.75439453125, 0.9990234375, -0.53369140625, 0.3125, 0.08282470703125, 0.0633544921875, -0.91796875, 1.4697265625, 0.259033203125, 0.405029296875, -0.66552734375, -0.4951171875, -0.104736328125, 0.05126953125, 0.056671142578125, -0.173095703125, -0.3759765625, 0.76953125, -0.2022705078125, -0.78125, 0.373779296875, -0.76123046875, -0.465087890625, -0.55126953125, -0.5341796875, 0.78759765625, 0.7470703125, 0.1676025390625, -0.182861328125, -0.10125732421875, 0.05743408203125, 0.744140625, 0.388671875, -0.4833984375, 0.08416748046875, 0.6640625, -0.014678955078125, 0.0282440185546875, 0.183349609375, 0.0237274169921875, -0.1307373046875, 0.31884765625, 0.01348114013671875, 0.62060546875, 0.3349609375, 0.59619140625, 0.5341796875, 0.8623046875, -0.84814453125, -0.351806640625, -0.38525390625, 0.62744140625, 0.358642578125, 0.49560546875, 0.56494140625, -0.3173828125, -0.60009765625, -1.0986328125, 0.36962890625, -0.1292724609375, 0.69091796875, -0.884765625, 0.8251953125, 0.07879638671875, -0.366943359375, 0.2281494140625, -0.74560546875, -0.5, 0.85107421875, -0.28955078125, 0.81005859375, -0.6513671875, 0.4658203125, -0.1446533203125, -0.061279296875, 0.98681640625, 0.158935546875, 0.52734375, -0.26416015625, -0.25048828125, -0.5947265625, -0.59814453125, 0.166015625, -0.398193359375, 0.168212890625, -0.5869140625, 0.0013561248779296875, -1.037109375, 0.31640625, 0.32470703125, 0.79345703125, -0.08447265625, 0.46435546875, 0.0782470703125, 0.7685546875, 0.478515625, -0.365234375, 0.2103271484375, -0.505859375, 0.59326171875, 0.133056640625, -0.136962890625, -0.60888671875, -0.36865234375, -0.244873046875, 0.0377197265625, 0.09906005859375, -0.1627197265625, -0.9423828125, 0.2705078125, -0.1988525390625, 0.61328125, -0.5517578125, -0.3603515625, -0.1446533203125, 0.458740234375, 0.250244140625, -1.375, 0.123291015625, -0.435302734375, 0.9423828125, 0.41748046875, -0.32373046875, -0.261962890625, -0.49609375, -0.474365234375, -0.60107421875, -0.050506591796875, 0.74853515625, 0.0830078125, 0.012420654296875, -1.26953125, 0.27099609375, 0.294677734375, 0.076416015625, 0.1607666015625, -0.11663818359375, 0.430419921875, -0.07354736328125, 0.57421875, -0.354736328125, -0.63037109375, -0.09100341796875, -1.3515625, -0.087158203125, -0.227783203125, 0.005374908447265625, -0.1671142578125, -0.1365966796875, -0.193603515625, 0.52490234375, -0.416259765625, 0.3681640625, -0.0181884765625, 0.6044921875, -0.93017578125, -0.98046875, 0.544921875, -0.44580078125, -0.2471923828125, 1.1796875, -0.055938720703125, -0.407958984375, 0.333984375, 0.411865234375, -0.6083984375, 0.1202392578125, -0.70458984375, 0.69580078125, -0.4619140625, -0.12548828125, -0.328369140625, -0.64794921875, 0.5849609375, 0.2314453125, -0.8076171875, -0.351318359375, -0.96435546875, -0.1466064453125, -0.1143798828125, -0.48046875, 0.53125, -0.21240234375, -0.044647216796875, -0.094482421875, -0.156982421875, -0.193359375, -0.1259765625, -0.53857421875, -0.1715087890625, 0.65087890625, 0.603515625, 0.412109375, -0.181640625, -0.4853515625, 0.045196533203125, -0.04083251953125, -0.1817626953125, -0.06884765625, 0.06671142578125, -0.10302734375, -0.1866455078125, -0.12445068359375, 0.055938720703125, -0.1143798828125, 0.0020656585693359375, 0.50341796875, 0.440673828125, 0.57080078125, 0.412841796875, -0.67919921875, 1.1591796875, 0.126220703125, -0.8828125, -0.464111328125, 0.64892578125, -0.07861328125, 0.2403564453125, 0.496826171875, -0.65869140625, -0.8203125, -0.8173828125, 0.355224609375, -0.33984375, -0.265869140625, -1.255859375, -0.299560546875, -0.035186767578125, 0.67919921875, -0.30615234375, -0.61767578125, 0.2275390625, -0.98193359375, 0.38818359375, -0.45166015625, -0.69970703125, -0.6435546875, -0.31689453125, -0.088134765625, 1.03125, 0.1937255859375, 0.32763671875, -0.1300048828125, 0.0248565673828125, 0.5048828125, 0.2156982421875, -0.443603515625, -0.210205078125, -0.42041015625, 0.416748046875, 0.2030029296875, -0.1002197265625, -0.320556640625, 0.4296875, -0.826171875, 0.1688232421875, -0.385498046875, -0.094482421875, -0.1767578125, -0.4716796875, 0.77685546875, -0.476806640625, -0.10845947265625, -0.30859375, 1.0126953125, 0.40283203125, -0.35498046875, -0.392333984375, -1.3310546875, -1.0029296875, -1.208984375, 0.71240234375, -0.448486328125, -0.1591796875, -0.75634765625, 0.0217132568359375, 1.0498046875, -0.378173828125, 0.54541015625, 0.87646484375, 0.1346435546875, -0.03240966796875, -0.61572265625, 0.61669921875, 0.58349609375, -0.255615234375, -0.255859375, 0.373779296875, -0.5244140625, 0.319580078125, 0.0648193359375, -1.173828125, -0.84228515625, 0.3505859375, 1.26953125, -0.288818359375, 0.6650390625, 0.272216796875, -1.318359375, -0.55517578125, 0.7587890625, 0.29638671875, 0.52587890625, 1.2353515625, -0.224853515625, -0.06732177734375, -0.0188446044921875, -0.343017578125, -0.26171875, -0.48828125, 1.3154296875, -0.55712890625, -0.53466796875, 0.36767578125, 1.1044921875, -1.0576171875, -0.96044921875, 0.0138702392578125, 0.13134765625, -0.042694091796875, -0.65576171875, 0.08013916015625, 0.281005859375, -0.6103515625, 0.00800323486328125, 0.43798828125, 0.2291259765625, 0.51708984375, 0.275390625, 0.451904296875, -0.281494140625, 0.416748046875, 0.6376953125, -0.391357421875, -0.16455078125, -0.875, -0.0821533203125, -0.404052734375, 0.00446319580078125, 0.85546875, -0.35791015625, 0.6015625, 0.66943359375, -0.129150390625, 0.767578125, -0.1671142578125, -0.68115234375, 0.3486328125, -0.75244140625, -0.2900390625, 0.326171875, 0.54541015625, -0.1746826171875, 0.09912109375, -0.669921875, -0.34619140625, -0.06256103515625, 0.34716796875, -0.380615234375, -0.650390625, -0.295166015625, -1.0234375, -0.65966796875, -0.6083984375, -0.6123046875, -0.0271453857421875, -0.1142578125, 0.05511474609375, -0.75634765625, 0.1414794921875, 0.3505859375, -0.5068359375, 0.99365234375, -0.80859375, 0.52001953125, -0.6328125, -0.392822265625, -0.489990234375, -0.054534912109375, -0.093994140625, -0.034515380859375, -0.73876953125, 0.0181732177734375, 0.00627899169921875, 0.406982421875, -0.135986328125, 0.4306640625, -0.258056640625, -0.814453125, 0.0007758140563964844, 0.0531005859375, -0.01200103759765625, 0.39599609375, 0.36865234375, -0.212646484375, 0.24072265625, -0.044097900390625, -0.358642578125, -0.51953125, 0.51123046875, 0.25244140625, -0.090576171875, -0.045166015625, -0.10821533203125, 0.455322265625, -1.0986328125, -0.07244873046875, -0.1846923828125, 0.212646484375, 0.1793212890625, -0.2489013671875, 0.298095703125, 1.0068359375, 0.0394287109375, 0.004940032958984375, 0.07611083984375, 0.321533203125, 0.11541748046875, -0.09625244140625, -0.056488037109375, 0.306640625, 0.369140625, -0.490478515625, 0.22021484375, 0.1649169921875, 0.0246124267578125, 0.1417236328125, -0.166259765625, -0.60595703125, -0.5283203125, -0.67333984375, -0.5234375, 0.417236328125, 0.1192626953125, -0.458740234375, 0.09039306640625, -0.0283660888671875, -0.10284423828125, 0.2203369140625, -1.150390625, -0.65087890625, 0.1798095703125, -0.233642578125, -0.7216796875, -0.134033203125, -0.267822265625, -0.255126953125, 0.01654052734375, 0.1397705078125, -0.77099609375, 0.3525390625, -0.36279296875, 0.646484375, -0.39990234375, -0.07537841796875, 0.1285400390625, 0.2125244140625, -0.62841796875, -0.360595703125, -0.32177734375, 1.08203125, 0.1839599609375, -0.31298828125, -0.409423828125, 0.18212890625, 0.228515625, 0.1444091796875, -0.57958984375, 0.1873779296875, -0.100341796875, 0.9296875, -0.9658203125, -0.135009765625, -0.379150390625, 0.43115234375, 0.39111328125, -0.305419921875, -0.615234375, 0.89501953125, 0.72705078125, -0.1947021484375, 0.33544921875, 0.1334228515625, 0.50732421875, -0.075439453125, -0.0291900634765625, -0.478759765625, 0.703125, 0.50244140625, 0.62646484375, 0.01374053955078125, 0.36669921875, 0.383544921875, -0.346435546875, -0.59326171875, 0.525390625, 0.07525634765625, 0.083251953125, 0.1484375, -0.2548828125, 0.0791015625, 0.35595703125, -0.6904296875, 0.468505859375, -0.1729736328125, -0.2476806640625, -0.67236328125, -0.388671875, 0.66845703125, -0.281982421875, -0.2442626953125, 0.31103515625, -0.5, 0.1519775390625, 0.6728515625, 0.390869140625, 0.033599853515625, 0.7236328125, 0.662109375, 0.6982421875, 0.72119140625, 0.0243682861328125, 0.494873046875, -0.78369140625, 0.015380859375, 0.09820556640625, -0.2327880859375, -0.11090087890625, -0.312255859375, -0.465576171875, 0.54736328125, 0.06658935546875, -0.43115234375, 0.54150390625, -0.474853515625, 0.03289794921875, -0.09197998046875, 0.77392578125, -0.82861328125, 0.384033203125, 0.30322265625, -0.298828125, -0.464599609375, 0.80859375, -0.449462890625, 0.329345703125, 0.363525390625, 1.0849609375, 0.1002197265625, 1.2607421875, 0.30859375, -0.14501953125, -0.1234130859375, 0.357666015625, -0.2332763671875, -0.5966796875, -0.59130859375, -0.1827392578125, 0.25341796875, -0.935546875, -0.60498046875, -0.333984375, 0.98388671875, -0.0972900390625, -0.7958984375, 0.046142578125, -0.032135009765625, -0.76806640625, 0.1246337890625, 0.45947265625, 0.33251953125, -0.2222900390625, -0.08404541015625, -0.47802734375, -0.3583984375, -0.00366973876953125, -0.3349609375, 0.31787109375, -0.55029296875, -0.591796875, -0.011871337890625, -0.9736328125, -0.75634765625, 0.1995849609375, 0.12042236328125, -1.07421875, 0.81982421875, 0.60546875, 0.294921875, 0.345947265625, -0.289306640625, 0.165283203125, 0.693359375, 1.1689453125, 0.11920166015625, 0.806640625, 0.453369140625, -0.67333984375, -0.031951904296875, -0.5634765625, 0.429931640625, -0.1009521484375, 0.464599609375, -0.2071533203125, 0.69775390625, -0.397705078125, -1.1357421875, -0.1121826171875, 0.36181640625, 0.79345703125, -0.501953125, -1.3408203125, -0.3603515625, -1.1025390625, -0.1954345703125, -0.29638671875, 0.81640625, 0.228271484375, -0.220947265625, 0.07733154296875, -0.8486328125, 4.57421875, 0.9765625, 1.0234375, 0.438232421875, 0.64306640625, 1.04296875, 0.2347412109375, -0.61572265625, -0.381103515625, -0.086181640625, 0.51806640625, -0.36328125, -0.156494140625, 0.7353515625, 0.34326171875, 0.56298828125, -0.544921875, 0.216552734375, -0.2252197265625, -0.8798828125, -0.5107421875, 0.382568359375, 0.1365966796875, 0.1343994140625, 0.05120849609375, 0.1112060546875, 0.299072265625, -0.7724609375, -0.1171875, -0.81298828125, 0.169189453125, -0.4931640625, 0.81396484375, -0.08392333984375, -0.11663818359375, 0.63134765625, 0.029327392578125, -0.5576171875, -0.07904052734375, 0.0714111328125, -0.2457275390625, 0.018218994140625, 0.669921875, -0.7236328125, -0.043182373046875, 0.459228515625, -0.84716796875, 0.21337890625, 0.354248046875, -1.2392578125, 0.78271484375, -0.1298828125, 0.49951171875, -0.61962890625, -1.0107421875, 0.36279296875, -0.05615234375, -0.15380859375, -0.1796875, 0.404296875, 0.5517578125, 0.45556640625, 0.2371826171875, 0.43115234375, -0.95458984375, 0.93408203125, -0.173828125, 0.548828125, -0.5703125, -0.1544189453125, -0.416748046875, -0.1473388671875, -0.412841796875, -0.049163818359375, 0.5830078125, 0.322998046875, -0.33642578125, 0.492919921875, 0.5166015625, -0.6787109375, 0.25439453125, -0.211669921875, -0.2685546875, -0.061737060546875, 0.71533203125, 1.1591796875, -0.76220703125, -0.040863037109375, -0.6220703125, 0.69189453125, 0.1771240234375, 0.59130859375, -0.2303466796875, -0.350830078125, -0.1370849609375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Limak is a little polar bear. He likes nice strings — strings of length n, consisting of lowercase English letters only. The distance between two letters is defined as the difference between their positions in the alphabet. For example, <image>, and <image>. Also, the distance between two nice strings is defined as the sum of distances of corresponding letters. For example, <image>, and <image>. Limak gives you a nice string s and an integer k. He challenges you to find any nice string s' that <image>. Find any s' satisfying the given conditions, or print "-1" if it's impossible to do so. As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ 106). The second line contains a string s of length n, consisting of lowercase English letters. Output If there is no string satisfying the given conditions then print "-1" (without the quotes). Otherwise, print any nice string s' that <image>. Examples Input 4 26 bear Output roar Input 2 7 af Output db Input 3 1000 hey Output -1 Tags: greedy, strings Correct Solution: ``` n, k = map(int, input().split()) st = input() ans = '' i = 0 while i < n and k > 0: if abs(ord(st[i]) - 97) > abs(ord(st[i]) - 122): ans += chr(max(97, ord(st[i]) - k)) k -= ord(st[i]) - ord(ans[-1]) else: ans += chr(min(122, ord(st[i]) + k)) k -= ord(ans[-1]) - ord(st[i]) i += 1 if k == 0: print(ans + st[i:]) else: print(-1) ```
7,981
[ 0.3046875, 0.1748046875, 0.251708984375, 0.309326171875, -0.427001953125, -0.640625, 0.2261962890625, 0.1549072265625, -0.18359375, 0.6923828125, 0.62744140625, 0.0062408447265625, -0.1785888671875, -0.806640625, -0.51123046875, -0.121826171875, -0.332763671875, -0.5546875, -0.533203125, -0.134765625, 0.0478515625, 0.01213836669921875, -1.3994140625, -0.12420654296875, -0.3515625, 0.60302734375, 0.5107421875, 0.09295654296875, 0.91796875, 0.84130859375, 0.136474609375, -0.40869140625, 0.2822265625, -1.158203125, -0.0953369140625, -0.38623046875, 0.7431640625, -0.8671875, -0.1676025390625, -0.47607421875, 0.431640625, -0.54443359375, 0.334228515625, -0.669921875, -0.9130859375, -0.11187744140625, -0.275634765625, -0.59912109375, -0.1795654296875, -0.439453125, 0.347412109375, -0.390625, 0.6591796875, -0.6044921875, -0.123291015625, -0.260009765625, 0.15234375, 0.06353759765625, -0.360595703125, 0.54931640625, -0.04736328125, 0.09417724609375, 0.020721435546875, -0.8349609375, -0.11968994140625, -0.1842041015625, 0.10894775390625, -0.2225341796875, -0.214111328125, -0.417724609375, -0.295654296875, 0.3251953125, -0.46875, -0.39306640625, -0.39501953125, 0.044219970703125, 0.2666015625, 0.0697021484375, -0.40576171875, 0.830078125, 0.29150390625, 0.82763671875, 0.35791015625, 0.1561279296875, -0.3173828125, -0.53955078125, 0.260498046875, 0.1729736328125, 0.1341552734375, -0.0215301513671875, -0.1602783203125, 0.69287109375, -0.92529296875, 0.1121826171875, 0.69580078125, 0.47119140625, -0.1463623046875, 0.09136962890625, 0.0831298828125, 0.134765625, 0.72216796875, 0.7666015625, 0.0364990234375, 1.0185546875, -0.437255859375, 0.5556640625, -0.048553466796875, -0.1805419921875, -0.1502685546875, -0.34765625, -0.1673583984375, -0.1376953125, 0.826171875, 0.1427001953125, -0.216552734375, 0.9677734375, 0.0579833984375, 0.6025390625, -0.5576171875, 0.2237548828125, 0.41015625, 0.5107421875, 0.8388671875, -0.22509765625, -0.1519775390625, -0.2037353515625, -0.1656494140625, 1.0322265625, -0.71826171875, -0.3056640625, 0.037384033203125, -0.28125, -0.315185546875, 0.16259765625, -0.057037353515625, 0.70068359375, -0.282470703125, 0.5517578125, 0.8916015625, -0.65625, 0.6083984375, -0.10943603515625, -0.291015625, 1.33203125, -0.041351318359375, 0.223388671875, 0.638671875, 0.65478515625, -0.70703125, 0.256103515625, -1.1552734375, 0.65673828125, 0.029205322265625, 0.2286376953125, -0.40234375, 0.104248046875, -0.208984375, 0.24853515625, -0.0546875, -0.03704833984375, -0.451904296875, 0.0916748046875, -0.401123046875, 0.873046875, -0.14208984375, 0.83935546875, -0.51220703125, -0.406982421875, 0.1474609375, -0.29296875, 0.2340087890625, -0.2020263671875, -0.2454833984375, 0.8046875, 0.473876953125, 1.029296875, 1.103515625, -0.016998291015625, 0.41455078125, 0.578125, -0.4091796875, 0.46044921875, -0.0060577392578125, 0.52001953125, 0.2005615234375, 0.1915283203125, 0.08111572265625, -0.221435546875, -0.84375, -0.5537109375, -0.032196044921875, 0.833984375, -0.40673828125, -0.1199951171875, 0.1163330078125, 0.18896484375, -0.93212890625, -0.0390625, 0.023101806640625, -1.1845703125, -0.250732421875, 0.52490234375, -0.06402587890625, 0.52001953125, -0.3515625, -0.55224609375, 0.58544921875, 0.966796875, -0.275634765625, -0.2154541015625, 0.4736328125, 0.439697265625, -0.2158203125, 0.188232421875, 0.00004482269287109375, -0.03253173828125, -0.72509765625, 0.74755859375, -0.182373046875, 0.1583251953125, 0.1114501953125, 0.2398681640625, 0.206298828125, 0.751953125, -0.375, -0.345703125, 0.525390625, 0.650390625, 0.048858642578125, 0.321044921875, -0.2587890625, 1.0107421875, 0.254150390625, 0.380126953125, 0.77294921875, 0.451416015625, 0.6611328125, 0.59423828125, 0.26953125, -0.091552734375, -0.077880859375, 0.5498046875, -0.0367431640625, 0.1727294921875, 0.1397705078125, 0.2548828125, 0.0205078125, 0.03948974609375, -0.270751953125, 0.35107421875, -0.0699462890625, 0.70361328125, 0.373291015625, 0.83447265625, -0.266357421875, -0.0491943359375, 0.1895751953125, 0.81494140625, -0.77392578125, -0.16552734375, -0.397216796875, -0.07904052734375, 0.28271484375, -0.07904052734375, 0.2178955078125, 0.3271484375, 0.1375732421875, 0.384033203125, -0.2734375, -0.5390625, -0.96484375, -0.708984375, -0.84033203125, -0.50537109375, -0.8212890625, -0.2529296875, 0.57080078125, -1.09375, 0.2125244140625, -0.320068359375, -0.43017578125, 0.04443359375, -0.79296875, 0.458740234375, 0.02032470703125, 0.68896484375, -0.52001953125, 0.2958984375, 0.53076171875, 1.07421875, -0.4287109375, -0.054351806640625, -0.253662109375, -0.53271484375, 0.332275390625, -0.29638671875, 0.4716796875, -0.10491943359375, -0.4169921875, -0.64501953125, -0.46533203125, -0.2376708984375, -0.3134765625, 0.1651611328125, -0.402587890625, 0.61328125, 0.34326171875, -0.95458984375, 0.72802734375, 1.041015625, -0.5322265625, 0.2978515625, 0.10540771484375, 0.0594482421875, -0.9228515625, 1.51953125, 0.30712890625, 0.4169921875, -0.63623046875, -0.5166015625, -0.09222412109375, 0.044464111328125, 0.038238525390625, -0.1741943359375, -0.39453125, 0.78125, -0.219970703125, -0.7890625, 0.345458984375, -0.7666015625, -0.45751953125, -0.5224609375, -0.5615234375, 0.7939453125, 0.7060546875, 0.1712646484375, -0.166259765625, -0.1280517578125, 0.05340576171875, 0.75927734375, 0.373779296875, -0.5361328125, 0.106689453125, 0.67236328125, 0.00830078125, 0.04248046875, 0.1968994140625, 0.0601806640625, -0.155029296875, 0.262939453125, 0.00811004638671875, 0.63427734375, 0.336181640625, 0.56201171875, 0.54150390625, 0.8388671875, -0.83203125, -0.398681640625, -0.4384765625, 0.607421875, 0.370849609375, 0.496826171875, 0.56884765625, -0.28369140625, -0.64404296875, -1.068359375, 0.377685546875, -0.124755859375, 0.68408203125, -0.83984375, 0.83642578125, 0.08319091796875, -0.35986328125, 0.23583984375, -0.80029296875, -0.51220703125, 0.85107421875, -0.284423828125, 0.82275390625, -0.71630859375, 0.486083984375, -0.1199951171875, -0.082763671875, 1.0068359375, 0.1671142578125, 0.54052734375, -0.2900390625, -0.248291015625, -0.6220703125, -0.611328125, 0.205810546875, -0.42041015625, 0.1712646484375, -0.578125, 0.029266357421875, -1.0556640625, 0.326416015625, 0.316162109375, 0.78564453125, -0.069580078125, 0.4794921875, 0.11090087890625, 0.810546875, 0.481201171875, -0.366455078125, 0.2049560546875, -0.498291015625, 0.619140625, 0.138671875, -0.15380859375, -0.61669921875, -0.374267578125, -0.23779296875, 0.05975341796875, 0.07220458984375, -0.1907958984375, -0.94384765625, 0.2393798828125, -0.19580078125, 0.56640625, -0.5390625, -0.3583984375, -0.17041015625, 0.454833984375, 0.278564453125, -1.3642578125, 0.127197265625, -0.421630859375, 0.98095703125, 0.4560546875, -0.290771484375, -0.2099609375, -0.52783203125, -0.466796875, -0.60595703125, -0.05572509765625, 0.71826171875, 0.1741943359375, -0.00974273681640625, -1.287109375, 0.31591796875, 0.287841796875, 0.038726806640625, 0.2203369140625, -0.1378173828125, 0.44921875, -0.04229736328125, 0.53369140625, -0.34619140625, -0.6005859375, -0.069580078125, -1.34375, -0.0904541015625, -0.254638671875, 0.028778076171875, -0.1416015625, -0.09686279296875, -0.205078125, 0.476806640625, -0.393798828125, 0.400146484375, -0.060577392578125, 0.58203125, -0.91162109375, -0.9580078125, 0.580078125, -0.456298828125, -0.271484375, 1.2001953125, -0.044158935546875, -0.427734375, 0.3115234375, 0.458251953125, -0.60888671875, 0.1422119140625, -0.71044921875, 0.7509765625, -0.439453125, -0.14208984375, -0.376708984375, -0.65966796875, 0.55029296875, 0.223388671875, -0.8408203125, -0.365234375, -1.015625, -0.16162109375, -0.09405517578125, -0.452392578125, 0.53173828125, -0.198486328125, -0.042633056640625, -0.09490966796875, -0.1536865234375, -0.1937255859375, -0.1302490234375, -0.5693359375, -0.19287109375, 0.62890625, 0.583984375, 0.44580078125, -0.15869140625, -0.4736328125, 0.0267486572265625, 0.0218658447265625, -0.2099609375, -0.035797119140625, 0.060821533203125, -0.0789794921875, -0.2069091796875, -0.0963134765625, 0.036468505859375, -0.103515625, 0.034515380859375, 0.51123046875, 0.416259765625, 0.56787109375, 0.439453125, -0.6552734375, 1.1640625, 0.1456298828125, -0.9111328125, -0.4287109375, 0.59912109375, -0.056610107421875, 0.2474365234375, 0.470703125, -0.65185546875, -0.83984375, -0.802734375, 0.349365234375, -0.34619140625, -0.2822265625, -1.2548828125, -0.279541015625, -0.056854248046875, 0.68896484375, -0.32568359375, -0.5908203125, 0.182861328125, -0.97509765625, 0.4189453125, -0.436767578125, -0.7119140625, -0.69140625, -0.31884765625, -0.1148681640625, 1.009765625, 0.182373046875, 0.305419921875, -0.11181640625, 0.00962066650390625, 0.53369140625, 0.2294921875, -0.44287109375, -0.1903076171875, -0.41015625, 0.4482421875, 0.152099609375, -0.14794921875, -0.33203125, 0.458251953125, -0.8203125, 0.1400146484375, -0.3876953125, -0.11383056640625, -0.18017578125, -0.5048828125, 0.77197265625, -0.5009765625, -0.140380859375, -0.307861328125, 1.009765625, 0.41064453125, -0.37939453125, -0.4052734375, -1.3408203125, -0.9755859375, -1.19140625, 0.6865234375, -0.427490234375, -0.1553955078125, -0.76416015625, -0.00600433349609375, 1.037109375, -0.383056640625, 0.52587890625, 0.89404296875, 0.1185302734375, -0.056304931640625, -0.5986328125, 0.662109375, 0.58349609375, -0.2587890625, -0.292724609375, 0.42822265625, -0.5361328125, 0.34814453125, 0.0782470703125, -1.205078125, -0.859375, 0.411865234375, 1.2470703125, -0.217529296875, 0.67431640625, 0.32568359375, -1.2998046875, -0.51806640625, 0.7548828125, 0.2469482421875, 0.52734375, 1.2392578125, -0.26416015625, -0.11822509765625, 0.003246307373046875, -0.345947265625, -0.259033203125, -0.5126953125, 1.326171875, -0.60986328125, -0.564453125, 0.377685546875, 1.0986328125, -1.072265625, -0.9326171875, 0.01413726806640625, 0.1654052734375, -0.040252685546875, -0.65966796875, 0.063232421875, 0.30615234375, -0.60009765625, -0.03765869140625, 0.400390625, 0.2408447265625, 0.5712890625, 0.253173828125, 0.44580078125, -0.256591796875, 0.435302734375, 0.60498046875, -0.371337890625, -0.112548828125, -0.87548828125, -0.051605224609375, -0.398681640625, 0.041778564453125, 0.857421875, -0.352783203125, 0.59033203125, 0.697265625, -0.07159423828125, 0.77685546875, -0.1363525390625, -0.681640625, 0.42041015625, -0.72802734375, -0.27978515625, 0.350341796875, 0.56982421875, -0.21337890625, 0.118408203125, -0.6708984375, -0.38525390625, -0.0305633544921875, 0.359619140625, -0.3662109375, -0.58740234375, -0.2763671875, -1.029296875, -0.6728515625, -0.56982421875, -0.64453125, -0.0177459716796875, -0.08355712890625, 0.0079803466796875, -0.74560546875, 0.10858154296875, 0.349365234375, -0.5302734375, 1.0302734375, -0.81396484375, 0.55224609375, -0.6787109375, -0.392333984375, -0.483642578125, -0.08526611328125, -0.1246337890625, -0.05743408203125, -0.728515625, 0.0147857666015625, 0.014251708984375, 0.388671875, -0.1356201171875, 0.44970703125, -0.25244140625, -0.82421875, -0.0123443603515625, 0.06298828125, -0.01497650146484375, 0.37548828125, 0.39892578125, -0.1341552734375, 0.2059326171875, -0.0266876220703125, -0.395751953125, -0.5029296875, 0.477294921875, 0.28271484375, -0.09326171875, -0.051055908203125, -0.1390380859375, 0.4345703125, -1.1064453125, -0.07037353515625, -0.201904296875, 0.2027587890625, 0.1878662109375, -0.281005859375, 0.343994140625, 1.044921875, 0.07086181640625, -0.0122528076171875, 0.08489990234375, 0.322998046875, 0.133544921875, -0.08447265625, -0.024444580078125, 0.329345703125, 0.3623046875, -0.473876953125, 0.1947021484375, 0.2218017578125, 0.042572021484375, 0.1571044921875, -0.15771484375, -0.62890625, -0.5634765625, -0.66015625, -0.5498046875, 0.3681640625, 0.113525390625, -0.455322265625, 0.10443115234375, -0.0142669677734375, -0.11785888671875, 0.213623046875, -1.1181640625, -0.65185546875, 0.1685791015625, -0.21630859375, -0.73876953125, -0.11016845703125, -0.274658203125, -0.2318115234375, -0.00927734375, 0.11798095703125, -0.7763671875, 0.34375, -0.3837890625, 0.681640625, -0.38623046875, -0.0946044921875, 0.16748046875, 0.1845703125, -0.658203125, -0.346923828125, -0.322265625, 1.080078125, 0.16162109375, -0.337158203125, -0.409912109375, 0.1885986328125, 0.2724609375, 0.1619873046875, -0.5859375, 0.2109375, -0.069580078125, 0.93408203125, -1.02734375, -0.1973876953125, -0.359619140625, 0.5166015625, 0.415771484375, -0.319580078125, -0.61767578125, 0.90283203125, 0.755859375, -0.2119140625, 0.372802734375, 0.1473388671875, 0.501953125, -0.08673095703125, -0.04095458984375, -0.50439453125, 0.68310546875, 0.501953125, 0.59765625, -0.0029163360595703125, 0.322021484375, 0.360107421875, -0.3876953125, -0.5966796875, 0.53369140625, 0.11285400390625, 0.10052490234375, 0.135009765625, -0.256591796875, 0.0537109375, 0.375, -0.689453125, 0.453125, -0.1705322265625, -0.24755859375, -0.68994140625, -0.424072265625, 0.66796875, -0.29052734375, -0.2470703125, 0.3056640625, -0.46826171875, 0.1317138671875, 0.70361328125, 0.32568359375, 0.0097198486328125, 0.72119140625, 0.63427734375, 0.67236328125, 0.7255859375, 0.0290985107421875, 0.4892578125, -0.77783203125, 0.06781005859375, 0.09698486328125, -0.2181396484375, -0.11083984375, -0.3388671875, -0.426513671875, 0.5380859375, 0.05926513671875, -0.4306640625, 0.56982421875, -0.4609375, 0.06353759765625, -0.0654296875, 0.77734375, -0.8525390625, 0.374755859375, 0.345703125, -0.3154296875, -0.47705078125, 0.8037109375, -0.47314453125, 0.33447265625, 0.378173828125, 1.109375, 0.126953125, 1.267578125, 0.287109375, -0.1273193359375, -0.1480712890625, 0.35693359375, -0.229248046875, -0.61767578125, -0.55908203125, -0.1883544921875, 0.260009765625, -0.94287109375, -0.58740234375, -0.33349609375, 1.033203125, -0.123046875, -0.80224609375, 0.02655029296875, 0.0217132568359375, -0.8115234375, 0.1287841796875, 0.39892578125, 0.31884765625, -0.2049560546875, -0.09613037109375, -0.472900390625, -0.37841796875, -0.0226287841796875, -0.290283203125, 0.3544921875, -0.56982421875, -0.59130859375, -0.05322265625, -0.94677734375, -0.7744140625, 0.1746826171875, 0.122314453125, -1.0947265625, 0.8330078125, 0.62841796875, 0.27978515625, 0.373046875, -0.28271484375, 0.194091796875, 0.64990234375, 1.1865234375, 0.0703125, 0.81494140625, 0.441650390625, -0.626953125, -0.0963134765625, -0.572265625, 0.408203125, -0.09600830078125, 0.49365234375, -0.2412109375, 0.703125, -0.36376953125, -1.146484375, -0.044525146484375, 0.38916015625, 0.79443359375, -0.5244140625, -1.3251953125, -0.303955078125, -1.0927734375, -0.2222900390625, -0.311279296875, 0.82861328125, 0.1988525390625, -0.20263671875, 0.09564208984375, -0.890625, 4.55078125, 0.92333984375, 1.0087890625, 0.4345703125, 0.65771484375, 1.052734375, 0.214111328125, -0.5947265625, -0.35791015625, -0.08758544921875, 0.56982421875, -0.369384765625, -0.1790771484375, 0.681640625, 0.371826171875, 0.57373046875, -0.51220703125, 0.1934814453125, -0.24560546875, -0.9365234375, -0.48291015625, 0.357177734375, 0.149658203125, 0.1331787109375, 0.0230712890625, 0.09661865234375, 0.307861328125, -0.7529296875, -0.118408203125, -0.828125, 0.164306640625, -0.560546875, 0.828125, -0.0888671875, -0.129150390625, 0.6337890625, 0.0077667236328125, -0.61865234375, -0.08966064453125, 0.096435546875, -0.2430419921875, -0.0121307373046875, 0.6806640625, -0.7353515625, 0.000009715557098388672, 0.501953125, -0.85107421875, 0.2191162109375, 0.3193359375, -1.2138671875, 0.82763671875, -0.16015625, 0.49169921875, -0.6552734375, -1.0146484375, 0.35888671875, -0.034576416015625, -0.2061767578125, -0.18896484375, 0.44384765625, 0.52685546875, 0.4814453125, 0.2203369140625, 0.4267578125, -0.91552734375, 0.939453125, -0.169921875, 0.54052734375, -0.5673828125, -0.1568603515625, -0.4052734375, -0.1826171875, -0.41650390625, 0.0001690387725830078, 0.6171875, 0.2822265625, -0.348876953125, 0.53466796875, 0.513671875, -0.68359375, 0.2425537109375, -0.2078857421875, -0.252197265625, -0.10528564453125, 0.7109375, 1.1826171875, -0.75732421875, -0.06207275390625, -0.62451171875, 0.66015625, 0.1873779296875, 0.6015625, -0.250732421875, -0.377197265625, -0.1512451171875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Limak is a little polar bear. He likes nice strings — strings of length n, consisting of lowercase English letters only. The distance between two letters is defined as the difference between their positions in the alphabet. For example, <image>, and <image>. Also, the distance between two nice strings is defined as the sum of distances of corresponding letters. For example, <image>, and <image>. Limak gives you a nice string s and an integer k. He challenges you to find any nice string s' that <image>. Find any s' satisfying the given conditions, or print "-1" if it's impossible to do so. As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ 106). The second line contains a string s of length n, consisting of lowercase English letters. Output If there is no string satisfying the given conditions then print "-1" (without the quotes). Otherwise, print any nice string s' that <image>. Examples Input 4 26 bear Output roar Input 2 7 af Output db Input 3 1000 hey Output -1 Tags: greedy, strings Correct Solution: ``` [n,k] = input().split(" ") s = input() ss = '' n = int(n) k = int(k) MaxD = [[0,0]]*n SumMaxD = 0 for i in list(range(0,n)): xl = -97 + ord(s[i]) xh = 122 - ord(s[i]) if(xl > xh): MaxD[i] = [xl,-1] SumMaxD = SumMaxD + xl else: MaxD[i] = [xh,1] SumMaxD = SumMaxD + xh if(SumMaxD < k): print(-1) else: for i in range(0,n): if(MaxD[i][0]<k): ss =ss + chr(ord(s[i]) + MaxD[i][0]*MaxD[i][1]) k = k - MaxD[i][0] else: ss =ss + chr(ord(s[i]) + k*MaxD[i][1]) + s[(i+1):len(s):1] break print(ss) ```
7,982
[ 0.275146484375, 0.187744140625, 0.273681640625, 0.298828125, -0.37109375, -0.64697265625, 0.2142333984375, 0.1380615234375, -0.178955078125, 0.67138671875, 0.63818359375, 0.055267333984375, -0.150634765625, -0.77294921875, -0.5185546875, -0.14208984375, -0.352294921875, -0.60302734375, -0.52734375, -0.09637451171875, 0.0845947265625, 0.0098114013671875, -1.3349609375, -0.1395263671875, -0.3447265625, 0.64111328125, 0.479248046875, 0.13525390625, 0.90234375, 0.86669921875, 0.10797119140625, -0.38037109375, 0.312744140625, -1.0732421875, -0.1563720703125, -0.3681640625, 0.74365234375, -0.86376953125, -0.1883544921875, -0.48974609375, 0.390869140625, -0.52783203125, 0.32958984375, -0.5986328125, -0.921875, -0.1131591796875, -0.307861328125, -0.60791015625, -0.1363525390625, -0.48681640625, 0.337890625, -0.425537109375, 0.6845703125, -0.55322265625, -0.119384765625, -0.226318359375, 0.14111328125, 0.031829833984375, -0.4228515625, 0.55224609375, -0.07928466796875, 0.1435546875, 0.016754150390625, -0.8154296875, -0.11376953125, -0.188232421875, 0.1187744140625, -0.288818359375, -0.240966796875, -0.37841796875, -0.28466796875, 0.32958984375, -0.43994140625, -0.345458984375, -0.425537109375, 0.0095672607421875, 0.286865234375, 0.08892822265625, -0.411865234375, 0.83447265625, 0.291015625, 0.771484375, 0.270263671875, 0.19580078125, -0.39990234375, -0.57666015625, 0.248779296875, 0.1492919921875, 0.1580810546875, -0.040863037109375, -0.15283203125, 0.65576171875, -0.98291015625, 0.119873046875, 0.701171875, 0.490966796875, -0.146728515625, 0.09051513671875, 0.024932861328125, 0.2078857421875, 0.76611328125, 0.755859375, -0.003753662109375, 1.0439453125, -0.447265625, 0.50830078125, 0.0175018310546875, -0.1961669921875, -0.156005859375, -0.327880859375, -0.147216796875, -0.177001953125, 0.84228515625, 0.165283203125, -0.1873779296875, 0.982421875, 0.007389068603515625, 0.59423828125, -0.60888671875, 0.2437744140625, 0.408203125, 0.495361328125, 0.833984375, -0.280029296875, -0.15673828125, -0.1790771484375, -0.1607666015625, 1.0107421875, -0.6181640625, -0.27294921875, 0.056915283203125, -0.301513671875, -0.321044921875, 0.154052734375, -0.09527587890625, 0.6337890625, -0.2376708984375, 0.552734375, 0.93115234375, -0.62841796875, 0.6435546875, -0.1357421875, -0.341796875, 1.3193359375, -0.004970550537109375, 0.192138671875, 0.646484375, 0.65869140625, -0.75244140625, 0.1953125, -1.13671875, 0.6943359375, 0.02386474609375, 0.1697998046875, -0.393798828125, 0.087646484375, -0.24072265625, 0.1839599609375, -0.051544189453125, -0.053619384765625, -0.4736328125, 0.1455078125, -0.36767578125, 0.974609375, -0.07342529296875, 0.84423828125, -0.5732421875, -0.37158203125, 0.1549072265625, -0.346435546875, 0.1915283203125, -0.26513671875, -0.285888671875, 0.82275390625, 0.443359375, 1.029296875, 1.009765625, -0.029144287109375, 0.381103515625, 0.5126953125, -0.36572265625, 0.4580078125, -0.0094451904296875, 0.533203125, 0.2183837890625, 0.23291015625, 0.1351318359375, -0.177978515625, -0.81591796875, -0.56787109375, -0.035491943359375, 0.76806640625, -0.474853515625, -0.128173828125, 0.1341552734375, 0.225341796875, -0.94873046875, -0.0511474609375, -0.01251983642578125, -1.169921875, -0.27587890625, 0.5234375, -0.0916748046875, 0.4755859375, -0.324951171875, -0.58740234375, 0.5810546875, 0.96728515625, -0.281982421875, -0.2227783203125, 0.482421875, 0.419677734375, -0.222900390625, 0.2301025390625, -0.0134735107421875, -0.047882080078125, -0.7080078125, 0.7626953125, -0.143310546875, 0.299072265625, 0.1497802734375, 0.275390625, 0.25732421875, 0.75634765625, -0.444580078125, -0.36669921875, 0.468017578125, 0.6650390625, 0.04693603515625, 0.34814453125, -0.281494140625, 1.017578125, 0.26171875, 0.3984375, 0.76513671875, 0.453369140625, 0.68505859375, 0.62744140625, 0.2276611328125, -0.1341552734375, -0.1533203125, 0.4912109375, 0.0073394775390625, 0.215576171875, 0.1605224609375, 0.284423828125, -0.03594970703125, 0.07086181640625, -0.2467041015625, 0.376220703125, -0.11077880859375, 0.701171875, 0.3740234375, 0.85400390625, -0.28759765625, -0.0906982421875, 0.1260986328125, 0.8134765625, -0.7763671875, -0.11846923828125, -0.54443359375, -0.0203094482421875, 0.275146484375, -0.052032470703125, 0.25341796875, 0.308349609375, 0.11224365234375, 0.365478515625, -0.303955078125, -0.564453125, -0.931640625, -0.736328125, -0.919921875, -0.50537109375, -0.7734375, -0.274658203125, 0.53662109375, -1.01953125, 0.211181640625, -0.304931640625, -0.485595703125, 0.0010814666748046875, -0.79150390625, 0.450927734375, -0.00861358642578125, 0.7412109375, -0.52392578125, 0.251220703125, 0.5771484375, 1.0830078125, -0.4248046875, -0.0307464599609375, -0.196533203125, -0.533203125, 0.307373046875, -0.29736328125, 0.515625, -0.14794921875, -0.448974609375, -0.6201171875, -0.43701171875, -0.284423828125, -0.3720703125, 0.1600341796875, -0.398681640625, 0.57373046875, 0.339111328125, -0.98046875, 0.72216796875, 1.0625, -0.576171875, 0.2998046875, 0.08612060546875, 0.06585693359375, -0.87744140625, 1.4814453125, 0.2685546875, 0.43359375, -0.681640625, -0.495361328125, -0.09771728515625, 0.061614990234375, 0.10040283203125, -0.2252197265625, -0.361083984375, 0.8037109375, -0.1646728515625, -0.7900390625, 0.36865234375, -0.7685546875, -0.4794921875, -0.56787109375, -0.5458984375, 0.755859375, 0.70263671875, 0.1717529296875, -0.166748046875, -0.1448974609375, 0.0297393798828125, 0.78173828125, 0.38037109375, -0.442138671875, 0.0836181640625, 0.64501953125, -0.0015172958374023438, 0.045440673828125, 0.180419921875, 0.00975799560546875, -0.11810302734375, 0.289794921875, 0.0078582763671875, 0.59423828125, 0.37255859375, 0.5791015625, 0.544921875, 0.81298828125, -0.81884765625, -0.35107421875, -0.416259765625, 0.62060546875, 0.32861328125, 0.54541015625, 0.5498046875, -0.299560546875, -0.6357421875, -1.1318359375, 0.385009765625, -0.162109375, 0.6865234375, -0.830078125, 0.75927734375, 0.1182861328125, -0.41015625, 0.2022705078125, -0.7578125, -0.474365234375, 0.8623046875, -0.27880859375, 0.818359375, -0.67822265625, 0.487060546875, -0.12548828125, -0.0968017578125, 1.0126953125, 0.163818359375, 0.53662109375, -0.285400390625, -0.309326171875, -0.58056640625, -0.54541015625, 0.2109375, -0.47998046875, 0.11907958984375, -0.58154296875, 0.04736328125, -1.044921875, 0.32861328125, 0.293701171875, 0.7607421875, -0.0977783203125, 0.452392578125, 0.06634521484375, 0.787109375, 0.488525390625, -0.306396484375, 0.2186279296875, -0.496826171875, 0.61328125, 0.09051513671875, -0.10858154296875, -0.7041015625, -0.357666015625, -0.2529296875, 0.059906005859375, 0.0758056640625, -0.1748046875, -0.91015625, 0.230224609375, -0.1976318359375, 0.5625, -0.56201171875, -0.292724609375, -0.1224365234375, 0.4375, 0.251220703125, -1.365234375, 0.1405029296875, -0.45703125, 0.94384765625, 0.45703125, -0.301513671875, -0.2481689453125, -0.52099609375, -0.5244140625, -0.61376953125, -0.044586181640625, 0.720703125, 0.1278076171875, -0.007724761962890625, -1.2958984375, 0.255615234375, 0.287353515625, 0.0955810546875, 0.1895751953125, -0.1448974609375, 0.460693359375, -0.11578369140625, 0.5361328125, -0.41357421875, -0.6953125, -0.1090087890625, -1.3974609375, -0.07794189453125, -0.2197265625, -0.017486572265625, -0.1837158203125, -0.130126953125, -0.166748046875, 0.5126953125, -0.415771484375, 0.30712890625, 0.0201416015625, 0.5791015625, -0.9248046875, -0.89990234375, 0.55126953125, -0.40673828125, -0.273681640625, 1.166015625, -0.12274169921875, -0.3818359375, 0.3056640625, 0.461669921875, -0.626953125, 0.14306640625, -0.66259765625, 0.67333984375, -0.467041015625, -0.10540771484375, -0.35205078125, -0.66748046875, 0.5986328125, 0.2257080078125, -0.82666015625, -0.340087890625, -0.9775390625, -0.1485595703125, -0.1500244140625, -0.47802734375, 0.51025390625, -0.184814453125, -0.0682373046875, -0.061004638671875, -0.1761474609375, -0.2227783203125, -0.0794677734375, -0.5673828125, -0.1856689453125, 0.62841796875, 0.51611328125, 0.425048828125, -0.1749267578125, -0.370849609375, 0.061279296875, -0.09552001953125, -0.2093505859375, -0.063232421875, 0.0298004150390625, -0.1004638671875, -0.1719970703125, -0.097900390625, 0.06475830078125, -0.11248779296875, -0.0095672607421875, 0.4873046875, 0.4462890625, 0.59228515625, 0.408203125, -0.6474609375, 1.1904296875, 0.153564453125, -0.9150390625, -0.472900390625, 0.6884765625, -0.0955810546875, 0.2208251953125, 0.52001953125, -0.6806640625, -0.77978515625, -0.79248046875, 0.336181640625, -0.343505859375, -0.2386474609375, -1.240234375, -0.315185546875, -0.08050537109375, 0.7353515625, -0.289306640625, -0.6044921875, 0.2469482421875, -0.982421875, 0.431884765625, -0.447021484375, -0.748046875, -0.642578125, -0.35986328125, -0.08251953125, 1.0458984375, 0.1265869140625, 0.3583984375, -0.08697509765625, -0.02276611328125, 0.5146484375, 0.185791015625, -0.435302734375, -0.269287109375, -0.410400390625, 0.445556640625, 0.1904296875, -0.11566162109375, -0.325439453125, 0.5146484375, -0.81103515625, 0.1990966796875, -0.371337890625, -0.07373046875, -0.1885986328125, -0.45703125, 0.7529296875, -0.49169921875, -0.089599609375, -0.307373046875, 1.0224609375, 0.428466796875, -0.358642578125, -0.3583984375, -1.3349609375, -0.9892578125, -1.2021484375, 0.705078125, -0.46142578125, -0.1282958984375, -0.75830078125, -0.0294036865234375, 1.06640625, -0.34326171875, 0.578125, 0.9296875, 0.12432861328125, -0.025726318359375, -0.62353515625, 0.6162109375, 0.56298828125, -0.232177734375, -0.2413330078125, 0.3896484375, -0.53466796875, 0.288818359375, 0.0232391357421875, -1.201171875, -0.8193359375, 0.39794921875, 1.2607421875, -0.326171875, 0.72021484375, 0.268310546875, -1.330078125, -0.537109375, 0.79541015625, 0.279296875, 0.50732421875, 1.2568359375, -0.2044677734375, -0.0543212890625, -0.06298828125, -0.372802734375, -0.257080078125, -0.51953125, 1.3359375, -0.56982421875, -0.489013671875, 0.443359375, 1.0791015625, -1.0869140625, -0.98681640625, 0.0645751953125, 0.08837890625, -0.035247802734375, -0.70361328125, 0.08770751953125, 0.2359619140625, -0.640625, 0.058929443359375, 0.408935546875, 0.1949462890625, 0.548828125, 0.312255859375, 0.423583984375, -0.254638671875, 0.409912109375, 0.6181640625, -0.412841796875, -0.1329345703125, -0.90576171875, -0.08599853515625, -0.408447265625, 0.00902557373046875, 0.888671875, -0.37939453125, 0.5732421875, 0.66162109375, -0.1312255859375, 0.7802734375, -0.07916259765625, -0.74462890625, 0.353759765625, -0.7275390625, -0.3203125, 0.343994140625, 0.544921875, -0.217041015625, 0.1351318359375, -0.5927734375, -0.345947265625, -0.049407958984375, 0.382080078125, -0.345458984375, -0.66357421875, -0.251708984375, -0.984375, -0.64892578125, -0.6162109375, -0.58447265625, -0.0026378631591796875, -0.06207275390625, 0.0362548828125, -0.78125, 0.10699462890625, 0.393310546875, -0.4775390625, 0.9873046875, -0.81787109375, 0.497314453125, -0.63037109375, -0.394287109375, -0.488037109375, -0.11639404296875, -0.160888671875, -0.00969696044921875, -0.7099609375, 0.0270538330078125, -0.0267333984375, 0.37060546875, -0.1561279296875, 0.4794921875, -0.213134765625, -0.84375, 0.006557464599609375, 0.0694580078125, -0.0164947509765625, 0.391357421875, 0.3876953125, -0.228515625, 0.1358642578125, -0.103759765625, -0.3798828125, -0.458251953125, 0.54052734375, 0.271240234375, -0.0732421875, -0.0265960693359375, -0.105712890625, 0.401123046875, -1.078125, -0.1011962890625, -0.1702880859375, 0.196044921875, 0.1903076171875, -0.25048828125, 0.370361328125, 0.98486328125, 0.050872802734375, 0.01433563232421875, 0.04510498046875, 0.3017578125, 0.1514892578125, -0.0238800048828125, -0.07073974609375, 0.287841796875, 0.373291015625, -0.462646484375, 0.2100830078125, 0.159912109375, 0.0140838623046875, 0.172119140625, -0.182373046875, -0.65185546875, -0.55224609375, -0.69482421875, -0.548828125, 0.4248046875, 0.08441162109375, -0.39697265625, 0.12091064453125, -0.020904541015625, -0.11749267578125, 0.29296875, -1.16015625, -0.65771484375, 0.14501953125, -0.222412109375, -0.72265625, -0.129638671875, -0.281982421875, -0.1932373046875, 0.0114593505859375, 0.08135986328125, -0.79248046875, 0.396240234375, -0.337646484375, 0.6337890625, -0.4453125, -0.054229736328125, 0.1436767578125, 0.2000732421875, -0.66259765625, -0.400146484375, -0.293212890625, 1.1171875, 0.1851806640625, -0.359619140625, -0.400390625, 0.1572265625, 0.276123046875, 0.158935546875, -0.61767578125, 0.2296142578125, -0.1661376953125, 0.92724609375, -0.9638671875, -0.177978515625, -0.37158203125, 0.484130859375, 0.44287109375, -0.320068359375, -0.5927734375, 0.84521484375, 0.7021484375, -0.1868896484375, 0.3330078125, 0.18505859375, 0.499755859375, -0.036163330078125, -0.08563232421875, -0.462158203125, 0.69287109375, 0.50537109375, 0.6259765625, 0.002910614013671875, 0.35400390625, 0.366943359375, -0.30810546875, -0.5380859375, 0.50390625, 0.0927734375, 0.0615234375, 0.1456298828125, -0.2418212890625, 0.080078125, 0.37939453125, -0.68994140625, 0.461669921875, -0.204833984375, -0.2237548828125, -0.69189453125, -0.36376953125, 0.6533203125, -0.2459716796875, -0.289794921875, 0.373779296875, -0.51611328125, 0.141845703125, 0.68359375, 0.348388671875, 0.065185546875, 0.71142578125, 0.68603515625, 0.6650390625, 0.70703125, -0.0002295970916748047, 0.490478515625, -0.74609375, 0.033660888671875, 0.09417724609375, -0.229736328125, -0.1109619140625, -0.307861328125, -0.5087890625, 0.5625, 0.037811279296875, -0.422607421875, 0.56494140625, -0.4599609375, 0.02398681640625, -0.12371826171875, 0.7314453125, -0.81201171875, 0.343017578125, 0.35302734375, -0.3681640625, -0.470458984375, 0.904296875, -0.442626953125, 0.33984375, 0.341552734375, 1.08203125, 0.09002685546875, 1.2802734375, 0.294677734375, -0.12152099609375, -0.1412353515625, 0.401123046875, -0.1898193359375, -0.6484375, -0.57275390625, -0.170654296875, 0.227294921875, -0.9365234375, -0.5498046875, -0.314697265625, 1.025390625, -0.07366943359375, -0.8369140625, 0.04498291015625, -0.0185546875, -0.763671875, 0.134765625, 0.51123046875, 0.3115234375, -0.2427978515625, -0.10198974609375, -0.4990234375, -0.30810546875, -0.042816162109375, -0.28076171875, 0.34375, -0.51708984375, -0.53662109375, -0.06475830078125, -0.8974609375, -0.7607421875, 0.205078125, 0.09515380859375, -1.0830078125, 0.853515625, 0.60791015625, 0.314208984375, 0.349853515625, -0.251953125, 0.1439208984375, 0.7578125, 1.1591796875, 0.10699462890625, 0.826171875, 0.471435546875, -0.6728515625, -0.047088623046875, -0.5390625, 0.44873046875, -0.0295562744140625, 0.4375, -0.218994140625, 0.6748046875, -0.320068359375, -1.099609375, -0.0582275390625, 0.363037109375, 0.806640625, -0.43798828125, -1.3603515625, -0.351318359375, -1.111328125, -0.164306640625, -0.2666015625, 0.8447265625, 0.2139892578125, -0.1717529296875, 0.085693359375, -0.85986328125, 4.55078125, 0.9609375, 1.0166015625, 0.471923828125, 0.689453125, 1.013671875, 0.220703125, -0.6572265625, -0.3701171875, -0.0655517578125, 0.52197265625, -0.327880859375, -0.1551513671875, 0.73828125, 0.354736328125, 0.55615234375, -0.59423828125, 0.1800537109375, -0.274169921875, -0.86474609375, -0.5302734375, 0.4345703125, 0.10565185546875, 0.149658203125, 0.07244873046875, 0.18310546875, 0.291015625, -0.7822265625, -0.1397705078125, -0.791015625, 0.2025146484375, -0.533203125, 0.83447265625, -0.02764892578125, -0.1285400390625, 0.671875, 0.006870269775390625, -0.59326171875, -0.131103515625, 0.0670166015625, -0.253173828125, -0.0049591064453125, 0.6611328125, -0.72412109375, -0.07489013671875, 0.53369140625, -0.84375, 0.210205078125, 0.3271484375, -1.294921875, 0.833984375, -0.100341796875, 0.470947265625, -0.64404296875, -1.0556640625, 0.323486328125, -0.07513427734375, -0.07421875, -0.146484375, 0.460693359375, 0.53271484375, 0.51220703125, 0.254638671875, 0.45703125, -0.94873046875, 0.962890625, -0.1988525390625, 0.63916015625, -0.6318359375, -0.1611328125, -0.429931640625, -0.1259765625, -0.418701171875, -0.0216827392578125, 0.56884765625, 0.328369140625, -0.383544921875, 0.48193359375, 0.5615234375, -0.65966796875, 0.26953125, -0.2283935546875, -0.28759765625, -0.091796875, 0.70751953125, 1.2021484375, -0.77978515625, -0.0977783203125, -0.58203125, 0.69091796875, 0.1917724609375, 0.6005859375, -0.29150390625, -0.3330078125, -0.1387939453125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Limak is a little polar bear. He likes nice strings — strings of length n, consisting of lowercase English letters only. The distance between two letters is defined as the difference between their positions in the alphabet. For example, <image>, and <image>. Also, the distance between two nice strings is defined as the sum of distances of corresponding letters. For example, <image>, and <image>. Limak gives you a nice string s and an integer k. He challenges you to find any nice string s' that <image>. Find any s' satisfying the given conditions, or print "-1" if it's impossible to do so. As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ 106). The second line contains a string s of length n, consisting of lowercase English letters. Output If there is no string satisfying the given conditions then print "-1" (without the quotes). Otherwise, print any nice string s' that <image>. Examples Input 4 26 bear Output roar Input 2 7 af Output db Input 3 1000 hey Output -1 Tags: greedy, strings Correct Solution: ``` def check(s, k): ans = 0 for i in range(len(s)): ans += abs(ord(s[i]) - ord(k[i])) return ans n, k = map(int, input().split()) s = input() cnt = 0 for i in s: cnt += max(ord('z') - ord(i), ord(i) - ord('a')) if k > cnt: print(-1) exit() else: ans = '' cr = 0 while k != 0: ps1 = ord(s[cr]) - ord('a') ps2 = ord('z') - ord(s[cr]) if ps1 > k: ans += chr(ord(s[cr]) - k) k = 0 elif ps2 > k: ans += chr(ord(s[cr]) + k) k = 0 else: if ps2 >= ps1: ans += 'z' k -= ps2 else: ans += 'a' k -= ps1 cr += 1 ans += s[len(ans):] print(ans) #print(check(ans, s)) ```
7,983
[ 0.30712890625, 0.16357421875, 0.28466796875, 0.291015625, -0.39306640625, -0.6591796875, 0.2474365234375, 0.1539306640625, -0.16455078125, 0.7109375, 0.62939453125, -0.0168304443359375, -0.189697265625, -0.8203125, -0.53466796875, -0.13330078125, -0.337646484375, -0.54931640625, -0.53759765625, -0.12646484375, 0.09881591796875, -0.00562286376953125, -1.3759765625, -0.1475830078125, -0.359375, 0.56982421875, 0.495849609375, 0.11224365234375, 0.93310546875, 0.80224609375, 0.115478515625, -0.424560546875, 0.29638671875, -1.123046875, -0.1256103515625, -0.39892578125, 0.724609375, -0.8837890625, -0.1793212890625, -0.454345703125, 0.424560546875, -0.54052734375, 0.34521484375, -0.6953125, -0.90771484375, -0.1370849609375, -0.2138671875, -0.57421875, -0.142822265625, -0.452880859375, 0.320556640625, -0.365966796875, 0.66064453125, -0.57275390625, -0.134765625, -0.283203125, 0.15625, 0.070068359375, -0.358154296875, 0.552734375, -0.01540374755859375, 0.056884765625, 0.01861572265625, -0.8388671875, -0.123046875, -0.197021484375, 0.078857421875, -0.2210693359375, -0.2354736328125, -0.394775390625, -0.265380859375, 0.346923828125, -0.44482421875, -0.39306640625, -0.381591796875, 0.07281494140625, 0.293212890625, 0.060760498046875, -0.39990234375, 0.82470703125, 0.27197265625, 0.80615234375, 0.346923828125, 0.1612548828125, -0.315185546875, -0.57373046875, 0.28369140625, 0.197998046875, 0.1256103515625, -0.0018205642700195312, -0.14111328125, 0.68310546875, -0.97314453125, 0.11688232421875, 0.69091796875, 0.47314453125, -0.146240234375, 0.0888671875, 0.117431640625, 0.12408447265625, 0.69580078125, 0.8212890625, 0.01279449462890625, 1.001953125, -0.4638671875, 0.5400390625, -0.0295562744140625, -0.1761474609375, -0.1563720703125, -0.356201171875, -0.1519775390625, -0.15869140625, 0.84033203125, 0.1605224609375, -0.2403564453125, 0.97998046875, 0.051605224609375, 0.59326171875, -0.55224609375, 0.1910400390625, 0.399658203125, 0.481201171875, 0.849609375, -0.247802734375, -0.175048828125, -0.174072265625, -0.140869140625, 1.0361328125, -0.7099609375, -0.28857421875, 0.068115234375, -0.262939453125, -0.29052734375, 0.1689453125, -0.0836181640625, 0.6494140625, -0.265869140625, 0.56982421875, 0.91259765625, -0.693359375, 0.6376953125, -0.05322265625, -0.297607421875, 1.328125, -0.038421630859375, 0.204345703125, 0.61962890625, 0.6494140625, -0.703125, 0.253662109375, -1.1572265625, 0.6669921875, 0.04833984375, 0.2498779296875, -0.411865234375, 0.130615234375, -0.2327880859375, 0.1834716796875, -0.029510498046875, -0.01107025146484375, -0.4375, 0.12078857421875, -0.4228515625, 0.90576171875, -0.167724609375, 0.83447265625, -0.5302734375, -0.369140625, 0.14306640625, -0.309814453125, 0.20361328125, -0.2193603515625, -0.2421875, 0.8125, 0.46826171875, 1.041015625, 1.091796875, 0.0009870529174804688, 0.413818359375, 0.56103515625, -0.40625, 0.436279296875, -0.033294677734375, 0.486083984375, 0.1966552734375, 0.16748046875, 0.10174560546875, -0.2078857421875, -0.81689453125, -0.5400390625, -0.0246734619140625, 0.81787109375, -0.404541015625, -0.135009765625, 0.0926513671875, 0.199462890625, -0.935546875, -0.0290069580078125, 0.057952880859375, -1.177734375, -0.2230224609375, 0.544921875, -0.09674072265625, 0.4794921875, -0.389404296875, -0.53466796875, 0.599609375, 0.93359375, -0.313232421875, -0.1759033203125, 0.43408203125, 0.447998046875, -0.2100830078125, 0.1861572265625, -0.007152557373046875, -0.0308074951171875, -0.716796875, 0.75048828125, -0.116943359375, 0.1842041015625, 0.14013671875, 0.26513671875, 0.2138671875, 0.74609375, -0.335693359375, -0.348388671875, 0.52685546875, 0.6806640625, 0.04644775390625, 0.33837890625, -0.28125, 1.0263671875, 0.234619140625, 0.379150390625, 0.83349609375, 0.452392578125, 0.6943359375, 0.603515625, 0.27880859375, -0.08172607421875, -0.1124267578125, 0.52392578125, -0.003749847412109375, 0.189453125, 0.154296875, 0.256591796875, 0.0270843505859375, 0.042236328125, -0.259521484375, 0.337646484375, -0.07586669921875, 0.7275390625, 0.406982421875, 0.8076171875, -0.266357421875, -0.02484130859375, 0.1705322265625, 0.84423828125, -0.779296875, -0.1707763671875, -0.4013671875, -0.085693359375, 0.231689453125, -0.0853271484375, 0.2296142578125, 0.328125, 0.1171875, 0.41748046875, -0.333740234375, -0.4951171875, -0.98486328125, -0.68994140625, -0.87451171875, -0.476318359375, -0.8046875, -0.2459716796875, 0.548828125, -1.076171875, 0.1923828125, -0.3095703125, -0.4892578125, 0.028778076171875, -0.826171875, 0.498291015625, 0.04840087890625, 0.7001953125, -0.55419921875, 0.30419921875, 0.50341796875, 1.0849609375, -0.43798828125, -0.0565185546875, -0.274169921875, -0.54541015625, 0.348876953125, -0.287353515625, 0.478271484375, -0.114013671875, -0.4375, -0.6025390625, -0.465087890625, -0.241455078125, -0.322265625, 0.154052734375, -0.39697265625, 0.5849609375, 0.325927734375, -0.9453125, 0.73486328125, 1.0302734375, -0.541015625, 0.3125, 0.1092529296875, 0.09918212890625, -0.9287109375, 1.4658203125, 0.268310546875, 0.405517578125, -0.6416015625, -0.488037109375, -0.10406494140625, 0.041351318359375, 0.059051513671875, -0.1807861328125, -0.4140625, 0.779296875, -0.1922607421875, -0.7978515625, 0.346923828125, -0.76611328125, -0.44482421875, -0.53466796875, -0.5595703125, 0.78857421875, 0.74609375, 0.193359375, -0.1759033203125, -0.118896484375, 0.0178680419921875, 0.75048828125, 0.403076171875, -0.5234375, 0.0948486328125, 0.673828125, -0.0063934326171875, 0.0218963623046875, 0.1939697265625, 0.0460205078125, -0.144287109375, 0.287109375, 0.022369384765625, 0.6572265625, 0.326171875, 0.57275390625, 0.5751953125, 0.85595703125, -0.810546875, -0.340087890625, -0.419189453125, 0.6298828125, 0.410888671875, 0.52490234375, 0.615234375, -0.304931640625, -0.5947265625, -1.0458984375, 0.371337890625, -0.167236328125, 0.7021484375, -0.8525390625, 0.78515625, 0.089111328125, -0.34033203125, 0.2052001953125, -0.7978515625, -0.533203125, 0.82421875, -0.321044921875, 0.8662109375, -0.708984375, 0.465087890625, -0.1258544921875, -0.039337158203125, 1.0107421875, 0.1513671875, 0.5, -0.311279296875, -0.255126953125, -0.587890625, -0.595703125, 0.174560546875, -0.405517578125, 0.1419677734375, -0.53076171875, -0.0179290771484375, -1.029296875, 0.341552734375, 0.327392578125, 0.7724609375, -0.09716796875, 0.462890625, 0.09149169921875, 0.80029296875, 0.477294921875, -0.33935546875, 0.20849609375, -0.5244140625, 0.58447265625, 0.1292724609375, -0.1693115234375, -0.60888671875, -0.3466796875, -0.20458984375, 0.035552978515625, 0.048980712890625, -0.2076416015625, -0.8935546875, 0.274658203125, -0.2139892578125, 0.57177734375, -0.59716796875, -0.362060546875, -0.14306640625, 0.47412109375, 0.27587890625, -1.3857421875, 0.1444091796875, -0.41015625, 1.0009765625, 0.4765625, -0.316162109375, -0.206298828125, -0.493408203125, -0.441650390625, -0.6025390625, -0.07073974609375, 0.73681640625, 0.104736328125, 0.00469970703125, -1.25, 0.300048828125, 0.300048828125, 0.0200958251953125, 0.1820068359375, -0.1268310546875, 0.436279296875, -0.0435791015625, 0.56396484375, -0.351806640625, -0.62939453125, -0.052001953125, -1.3271484375, -0.05755615234375, -0.23095703125, -0.006832122802734375, -0.1456298828125, -0.1112060546875, -0.2125244140625, 0.48974609375, -0.4208984375, 0.36572265625, -0.075927734375, 0.6005859375, -0.93505859375, -0.99365234375, 0.54931640625, -0.410400390625, -0.28662109375, 1.197265625, -0.0421142578125, -0.40380859375, 0.321533203125, 0.47705078125, -0.64697265625, 0.1298828125, -0.69873046875, 0.7236328125, -0.451416015625, -0.1759033203125, -0.35205078125, -0.64599609375, 0.57958984375, 0.237060546875, -0.82275390625, -0.361083984375, -0.97412109375, -0.171142578125, -0.1060791015625, -0.44677734375, 0.5732421875, -0.18212890625, -0.03173828125, -0.10137939453125, -0.10748291015625, -0.2041015625, -0.1300048828125, -0.58935546875, -0.2037353515625, 0.64501953125, 0.58349609375, 0.447265625, -0.1558837890625, -0.454345703125, 0.0297393798828125, 0.00968170166015625, -0.2064208984375, -0.05230712890625, 0.03948974609375, -0.07537841796875, -0.1561279296875, -0.1260986328125, 0.041046142578125, -0.08154296875, 0.010162353515625, 0.52197265625, 0.4296875, 0.5361328125, 0.44384765625, -0.669921875, 1.171875, 0.1572265625, -0.87646484375, -0.429443359375, 0.60888671875, -0.07470703125, 0.252197265625, 0.46240234375, -0.6806640625, -0.84033203125, -0.80078125, 0.365966796875, -0.299072265625, -0.27880859375, -1.234375, -0.2529296875, -0.040069580078125, 0.6572265625, -0.313720703125, -0.572265625, 0.202392578125, -0.9873046875, 0.412841796875, -0.4755859375, -0.72802734375, -0.67919921875, -0.323486328125, -0.1307373046875, 1.0068359375, 0.17578125, 0.33984375, -0.113525390625, 0.00577545166015625, 0.52392578125, 0.20361328125, -0.452392578125, -0.21484375, -0.412109375, 0.421630859375, 0.148193359375, -0.11834716796875, -0.317626953125, 0.434326171875, -0.81787109375, 0.139892578125, -0.323974609375, -0.099609375, -0.16748046875, -0.49609375, 0.79052734375, -0.529296875, -0.13818359375, -0.28955078125, 1.0205078125, 0.388427734375, -0.4013671875, -0.41015625, -1.33984375, -0.99609375, -1.23046875, 0.689453125, -0.443359375, -0.1319580078125, -0.73046875, 0.005992889404296875, 1.044921875, -0.408935546875, 0.52587890625, 0.84423828125, 0.1240234375, -0.05242919921875, -0.634765625, 0.6337890625, 0.59326171875, -0.267578125, -0.312744140625, 0.417724609375, -0.57275390625, 0.3388671875, 0.0450439453125, -1.2021484375, -0.8515625, 0.398193359375, 1.2158203125, -0.2486572265625, 0.6611328125, 0.29931640625, -1.3154296875, -0.58984375, 0.75439453125, 0.2318115234375, 0.5126953125, 1.2392578125, -0.237548828125, -0.11016845703125, -0.029388427734375, -0.356689453125, -0.277587890625, -0.51611328125, 1.3212890625, -0.5966796875, -0.5537109375, 0.341064453125, 1.1162109375, -1.056640625, -0.94287109375, 0.049163818359375, 0.1927490234375, -0.0263214111328125, -0.65185546875, 0.09014892578125, 0.28857421875, -0.5712890625, -0.029815673828125, 0.420654296875, 0.2447509765625, 0.5556640625, 0.266357421875, 0.429931640625, -0.283935546875, 0.453369140625, 0.5986328125, -0.35205078125, -0.12176513671875, -0.8828125, -0.09967041015625, -0.432373046875, 0.0126953125, 0.85546875, -0.333251953125, 0.59375, 0.7138671875, -0.09552001953125, 0.78564453125, -0.142578125, -0.69189453125, 0.421630859375, -0.72998046875, -0.258056640625, 0.3583984375, 0.57568359375, -0.207275390625, 0.08465576171875, -0.6572265625, -0.3994140625, -0.045806884765625, 0.366943359375, -0.376708984375, -0.60791015625, -0.32080078125, -1.0029296875, -0.67041015625, -0.5625, -0.63037109375, -0.03399658203125, -0.09881591796875, 0.0228118896484375, -0.6982421875, 0.10845947265625, 0.3388671875, -0.546875, 0.9716796875, -0.81689453125, 0.51318359375, -0.666015625, -0.4228515625, -0.492431640625, -0.10699462890625, -0.0797119140625, -0.05450439453125, -0.72607421875, 0.01395416259765625, 0.0249176025390625, 0.386962890625, -0.17236328125, 0.434814453125, -0.278564453125, -0.83544921875, -0.0364990234375, 0.07806396484375, 0.01499176025390625, 0.3857421875, 0.388671875, -0.13671875, 0.2197265625, -0.054443359375, -0.356201171875, -0.51123046875, 0.4951171875, 0.270751953125, -0.1300048828125, -0.05181884765625, -0.10137939453125, 0.4033203125, -1.078125, -0.10125732421875, -0.1632080078125, 0.222412109375, 0.1798095703125, -0.25537109375, 0.32861328125, 1.0537109375, 0.0198974609375, -0.0195159912109375, 0.08404541015625, 0.31396484375, 0.1376953125, -0.07745361328125, -0.004840850830078125, 0.318603515625, 0.388427734375, -0.485595703125, 0.1884765625, 0.2325439453125, 0.03790283203125, 0.1492919921875, -0.1773681640625, -0.6005859375, -0.5537109375, -0.67626953125, -0.556640625, 0.35693359375, 0.134765625, -0.426025390625, 0.11578369140625, 0.017974853515625, -0.1575927734375, 0.2061767578125, -1.099609375, -0.65087890625, 0.1514892578125, -0.235107421875, -0.74658203125, -0.1356201171875, -0.251953125, -0.2286376953125, -0.0011014938354492188, 0.134765625, -0.7763671875, 0.367919921875, -0.34423828125, 0.6904296875, -0.409423828125, -0.09552001953125, 0.1474609375, 0.189697265625, -0.63134765625, -0.369384765625, -0.30810546875, 1.060546875, 0.18603515625, -0.3544921875, -0.4130859375, 0.206298828125, 0.251220703125, 0.134521484375, -0.55908203125, 0.1929931640625, -0.073486328125, 0.96533203125, -1.017578125, -0.166748046875, -0.361328125, 0.4814453125, 0.440673828125, -0.341064453125, -0.64404296875, 0.857421875, 0.7548828125, -0.2354736328125, 0.34375, 0.15478515625, 0.5146484375, -0.09771728515625, -0.0330810546875, -0.447998046875, 0.6728515625, 0.498291015625, 0.5888671875, 0.023101806640625, 0.33251953125, 0.3759765625, -0.396240234375, -0.5751953125, 0.5537109375, 0.06610107421875, 0.079345703125, 0.10919189453125, -0.2471923828125, 0.106201171875, 0.3427734375, -0.67724609375, 0.447998046875, -0.1563720703125, -0.2171630859375, -0.6748046875, -0.440673828125, 0.66650390625, -0.286865234375, -0.2413330078125, 0.295654296875, -0.4716796875, 0.1697998046875, 0.673828125, 0.339111328125, 0.01197052001953125, 0.73095703125, 0.66064453125, 0.67724609375, 0.7431640625, 0.036163330078125, 0.4794921875, -0.79296875, 0.05047607421875, 0.083740234375, -0.2607421875, -0.09088134765625, -0.34033203125, -0.4482421875, 0.50390625, 0.06451416015625, -0.443603515625, 0.59375, -0.45654296875, 0.0794677734375, -0.0653076171875, 0.75244140625, -0.86767578125, 0.4013671875, 0.35400390625, -0.27587890625, -0.467041015625, 0.8193359375, -0.46484375, 0.328857421875, 0.385009765625, 1.0625, 0.1341552734375, 1.27734375, 0.267822265625, -0.1319580078125, -0.149658203125, 0.334716796875, -0.253662109375, -0.60595703125, -0.5654296875, -0.1881103515625, 0.2431640625, -0.90673828125, -0.6201171875, -0.30517578125, 1.0205078125, -0.0906982421875, -0.783203125, 0.0264739990234375, 0.01177978515625, -0.81640625, 0.1214599609375, 0.417724609375, 0.32177734375, -0.2294921875, -0.10675048828125, -0.47216796875, -0.37060546875, -0.0169830322265625, -0.308837890625, 0.343017578125, -0.5810546875, -0.595703125, -0.023345947265625, -0.99609375, -0.76904296875, 0.1534423828125, 0.08514404296875, -1.1025390625, 0.83154296875, 0.6552734375, 0.248779296875, 0.4150390625, -0.310546875, 0.1640625, 0.62451171875, 1.177734375, 0.062286376953125, 0.81982421875, 0.452392578125, -0.64208984375, -0.047454833984375, -0.5380859375, 0.438720703125, -0.11053466796875, 0.45556640625, -0.21435546875, 0.71337890625, -0.377685546875, -1.1298828125, -0.03857421875, 0.394775390625, 0.8115234375, -0.52099609375, -1.3408203125, -0.325927734375, -1.087890625, -0.213623046875, -0.287353515625, 0.8408203125, 0.2022705078125, -0.24267578125, 0.045989990234375, -0.8486328125, 4.5625, 0.92333984375, 0.98876953125, 0.458740234375, 0.66259765625, 1.0234375, 0.2071533203125, -0.578125, -0.373046875, -0.0693359375, 0.529296875, -0.34033203125, -0.1893310546875, 0.7021484375, 0.349365234375, 0.55859375, -0.5224609375, 0.187255859375, -0.2412109375, -0.9033203125, -0.47412109375, 0.360595703125, 0.12225341796875, 0.1282958984375, -0.007335662841796875, 0.09149169921875, 0.26123046875, -0.77197265625, -0.130615234375, -0.818359375, 0.1900634765625, -0.5283203125, 0.85791015625, -0.06640625, -0.10845947265625, 0.607421875, 0.05950927734375, -0.60498046875, -0.07769775390625, 0.08929443359375, -0.2420654296875, 0.0028629302978515625, 0.65869140625, -0.76416015625, -0.01232147216796875, 0.494384765625, -0.8369140625, 0.2430419921875, 0.318603515625, -1.220703125, 0.83642578125, -0.1190185546875, 0.49462890625, -0.6240234375, -0.98583984375, 0.386962890625, -0.0811767578125, -0.1964111328125, -0.193603515625, 0.455078125, 0.513671875, 0.462646484375, 0.239501953125, 0.414794921875, -0.93359375, 0.90673828125, -0.1478271484375, 0.53369140625, -0.59033203125, -0.1640625, -0.363525390625, -0.1409912109375, -0.412353515625, -0.01543426513671875, 0.59716796875, 0.29931640625, -0.31005859375, 0.53515625, 0.53515625, -0.7119140625, 0.2353515625, -0.2293701171875, -0.255859375, -0.09375, 0.7451171875, 1.1884765625, -0.7646484375, -0.0270843505859375, -0.654296875, 0.6591796875, 0.1739501953125, 0.57080078125, -0.2413330078125, -0.340087890625, -0.1343994140625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Limak is a little polar bear. He likes nice strings — strings of length n, consisting of lowercase English letters only. The distance between two letters is defined as the difference between their positions in the alphabet. For example, <image>, and <image>. Also, the distance between two nice strings is defined as the sum of distances of corresponding letters. For example, <image>, and <image>. Limak gives you a nice string s and an integer k. He challenges you to find any nice string s' that <image>. Find any s' satisfying the given conditions, or print "-1" if it's impossible to do so. As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ 106). The second line contains a string s of length n, consisting of lowercase English letters. Output If there is no string satisfying the given conditions then print "-1" (without the quotes). Otherwise, print any nice string s' that <image>. Examples Input 4 26 bear Output roar Input 2 7 af Output db Input 3 1000 hey Output -1 Tags: greedy, strings Correct Solution: ``` a, b = map(int, input().split()) s = input() if b / a > 25: print(-1) else: ans = "" c = 0 for i in s: if b == 0: ans += s[c:] break idx = ord(i) - 97 if idx >= 13: if b > idx: ans += "a" b -= idx else: ans += chr(idx + 97 - b) # alepha[idx - b] b = 0 else: if b > 25-idx: ans += "z" b -= 25 - idx else: ans += chr(idx + 97 + b) # alepha[idx + b] b = 0 c += 1 if b == 0: print(ans.lower()) else: print(-1) ```
7,984
[ 0.3154296875, 0.2198486328125, 0.2880859375, 0.289306640625, -0.38427734375, -0.64990234375, 0.1981201171875, 0.1243896484375, -0.1810302734375, 0.69140625, 0.6064453125, 0.036468505859375, -0.140625, -0.826171875, -0.5244140625, -0.1571044921875, -0.365478515625, -0.56396484375, -0.5458984375, -0.11822509765625, 0.06597900390625, -0.030487060546875, -1.353515625, -0.1290283203125, -0.321044921875, 0.646484375, 0.481201171875, 0.1585693359375, 0.88427734375, 0.8427734375, 0.1014404296875, -0.398681640625, 0.331298828125, -1.115234375, -0.11297607421875, -0.34033203125, 0.72998046875, -0.86669921875, -0.21435546875, -0.45947265625, 0.368896484375, -0.52099609375, 0.314208984375, -0.6259765625, -0.93603515625, -0.133056640625, -0.32958984375, -0.587890625, -0.1846923828125, -0.450439453125, 0.31396484375, -0.4248046875, 0.71484375, -0.5751953125, -0.1473388671875, -0.2381591796875, 0.115478515625, 0.0491943359375, -0.413818359375, 0.5341796875, -0.08624267578125, 0.1585693359375, -0.03106689453125, -0.78564453125, -0.143310546875, -0.1480712890625, 0.1412353515625, -0.276611328125, -0.2529296875, -0.389404296875, -0.32958984375, 0.3046875, -0.4423828125, -0.3818359375, -0.4072265625, 0.016265869140625, 0.2744140625, 0.107421875, -0.408447265625, 0.81494140625, 0.27099609375, 0.8515625, 0.3232421875, 0.1739501953125, -0.37158203125, -0.56591796875, 0.1923828125, 0.2177734375, 0.1817626953125, -0.0196533203125, -0.140625, 0.662109375, -1.0166015625, 0.1160888671875, 0.740234375, 0.51123046875, -0.1336669921875, 0.057525634765625, 0.050750732421875, 0.222900390625, 0.75732421875, 0.7509765625, -0.0160064697265625, 1.064453125, -0.46142578125, 0.475341796875, -0.0078887939453125, -0.216064453125, -0.17626953125, -0.353515625, -0.2061767578125, -0.1851806640625, 0.84619140625, 0.1712646484375, -0.1605224609375, 1.0263671875, 0.0745849609375, 0.58447265625, -0.62939453125, 0.2431640625, 0.39501953125, 0.468994140625, 0.85302734375, -0.270263671875, -0.1795654296875, -0.183837890625, -0.1273193359375, 1.0224609375, -0.6669921875, -0.267333984375, 0.067626953125, -0.26904296875, -0.273193359375, 0.10736083984375, -0.07989501953125, 0.64404296875, -0.212158203125, 0.59326171875, 0.8876953125, -0.6279296875, 0.6357421875, -0.10052490234375, -0.318115234375, 1.3662109375, -0.039215087890625, 0.1943359375, 0.67236328125, 0.65185546875, -0.77587890625, 0.1986083984375, -1.1533203125, 0.697265625, 0.06451416015625, 0.205322265625, -0.42919921875, 0.051727294921875, -0.212158203125, 0.203125, -0.00799560546875, -0.0145263671875, -0.473876953125, 0.12005615234375, -0.42529296875, 0.96337890625, -0.09228515625, 0.83203125, -0.52587890625, -0.4375, 0.2071533203125, -0.363037109375, 0.2396240234375, -0.2413330078125, -0.300537109375, 0.84912109375, 0.44677734375, 1.0068359375, 1.0712890625, 0.03216552734375, 0.399169921875, 0.52490234375, -0.38525390625, 0.459716796875, 0.01275634765625, 0.53466796875, 0.2445068359375, 0.2430419921875, 0.14990234375, -0.2001953125, -0.822265625, -0.5595703125, -0.051483154296875, 0.810546875, -0.43505859375, -0.11053466796875, 0.1353759765625, 0.23828125, -1.021484375, -0.0394287109375, -0.0171966552734375, -1.142578125, -0.292236328125, 0.52197265625, -0.105224609375, 0.482421875, -0.29736328125, -0.56396484375, 0.57373046875, 1.009765625, -0.1976318359375, -0.221435546875, 0.478759765625, 0.440673828125, -0.242431640625, 0.232177734375, -0.01422119140625, -0.08038330078125, -0.703125, 0.82568359375, -0.145751953125, 0.312255859375, 0.08056640625, 0.21337890625, 0.22412109375, 0.794921875, -0.41552734375, -0.356689453125, 0.51220703125, 0.67333984375, 0.06805419921875, 0.2646484375, -0.2498779296875, 1.02734375, 0.2822265625, 0.398193359375, 0.78564453125, 0.430908203125, 0.68408203125, 0.65087890625, 0.240478515625, -0.12255859375, -0.083740234375, 0.5029296875, -0.0140228271484375, 0.2060546875, 0.1368408203125, 0.255615234375, -0.0167388916015625, 0.0689697265625, -0.259765625, 0.3447265625, -0.1048583984375, 0.65576171875, 0.430908203125, 0.86865234375, -0.261474609375, -0.08721923828125, 0.135009765625, 0.83056640625, -0.79345703125, -0.09228515625, -0.498046875, -0.054962158203125, 0.285888671875, -0.039276123046875, 0.2388916015625, 0.325927734375, 0.139404296875, 0.31884765625, -0.260009765625, -0.5107421875, -0.9853515625, -0.6884765625, -0.86181640625, -0.435302734375, -0.818359375, -0.2783203125, 0.53271484375, -1.0791015625, 0.27294921875, -0.325439453125, -0.455322265625, -0.0016269683837890625, -0.779296875, 0.443359375, -0.018646240234375, 0.7109375, -0.521484375, 0.258544921875, 0.58154296875, 1.056640625, -0.400634765625, -0.0511474609375, -0.213623046875, -0.5244140625, 0.322021484375, -0.33349609375, 0.54638671875, -0.1400146484375, -0.517578125, -0.62451171875, -0.405517578125, -0.2421875, -0.4150390625, 0.16845703125, -0.408447265625, 0.5927734375, 0.324462890625, -0.9384765625, 0.7646484375, 1.037109375, -0.5830078125, 0.279052734375, 0.1107177734375, 0.0280303955078125, -0.92236328125, 1.5166015625, 0.250732421875, 0.3740234375, -0.67041015625, -0.513671875, -0.07318115234375, 0.10418701171875, 0.08160400390625, -0.1884765625, -0.36474609375, 0.8193359375, -0.16455078125, -0.7998046875, 0.3505859375, -0.74365234375, -0.38818359375, -0.53515625, -0.5439453125, 0.7958984375, 0.69189453125, 0.182861328125, -0.146484375, -0.1744384765625, 0.058929443359375, 0.783203125, 0.380859375, -0.49951171875, 0.0789794921875, 0.654296875, -0.03021240234375, 0.0306396484375, 0.1934814453125, 0.045257568359375, -0.12139892578125, 0.272705078125, 0.006244659423828125, 0.59423828125, 0.290771484375, 0.54296875, 0.53271484375, 0.84716796875, -0.79833984375, -0.367431640625, -0.415283203125, 0.61572265625, 0.28369140625, 0.57470703125, 0.6044921875, -0.3359375, -0.6162109375, -1.1611328125, 0.40576171875, -0.1627197265625, 0.73046875, -0.83740234375, 0.7333984375, 0.07843017578125, -0.418212890625, 0.1846923828125, -0.75927734375, -0.494873046875, 0.78564453125, -0.318115234375, 0.82861328125, -0.65966796875, 0.481201171875, -0.0693359375, -0.08673095703125, 1, 0.16552734375, 0.564453125, -0.300537109375, -0.332275390625, -0.60009765625, -0.638671875, 0.231201171875, -0.449462890625, 0.1309814453125, -0.55712890625, 0.0251617431640625, -1.0361328125, 0.34326171875, 0.2724609375, 0.79638671875, -0.0845947265625, 0.468994140625, 0.0589599609375, 0.822265625, 0.46630859375, -0.314208984375, 0.231689453125, -0.50390625, 0.60986328125, 0.07666015625, -0.11566162109375, -0.638671875, -0.340087890625, -0.2222900390625, 0.0867919921875, 0.098388671875, -0.22509765625, -0.970703125, 0.273681640625, -0.2222900390625, 0.5927734375, -0.572265625, -0.32470703125, -0.145263671875, 0.46923828125, 0.20361328125, -1.3857421875, 0.1435546875, -0.392578125, 0.994140625, 0.472412109375, -0.333984375, -0.1937255859375, -0.5234375, -0.48974609375, -0.60595703125, -0.07489013671875, 0.73193359375, 0.1373291015625, 0.025909423828125, -1.2861328125, 0.2861328125, 0.291259765625, 0.0909423828125, 0.1600341796875, -0.154052734375, 0.43212890625, -0.06781005859375, 0.53759765625, -0.387451171875, -0.67041015625, -0.1282958984375, -1.369140625, -0.09918212890625, -0.2408447265625, -0.02093505859375, -0.19970703125, -0.1689453125, -0.1700439453125, 0.498046875, -0.404052734375, 0.2978515625, -0.01715087890625, 0.58642578125, -0.88671875, -0.888671875, 0.52294921875, -0.40478515625, -0.29833984375, 1.1611328125, -0.091552734375, -0.391357421875, 0.27099609375, 0.43994140625, -0.603515625, 0.189453125, -0.68359375, 0.65869140625, -0.4140625, -0.146484375, -0.3759765625, -0.65625, 0.5712890625, 0.1937255859375, -0.84814453125, -0.310546875, -0.96240234375, -0.1717529296875, -0.166748046875, -0.447021484375, 0.54296875, -0.1859130859375, -0.0504150390625, -0.04107666015625, -0.1646728515625, -0.19091796875, -0.12939453125, -0.54833984375, -0.2265625, 0.63916015625, 0.5390625, 0.5029296875, -0.1700439453125, -0.418701171875, -0.012969970703125, -0.05718994140625, -0.19482421875, -0.064453125, 0.048492431640625, -0.08306884765625, -0.199462890625, -0.1396484375, 0.04315185546875, -0.0762939453125, -0.0219268798828125, 0.4892578125, 0.4296875, 0.58056640625, 0.394287109375, -0.73974609375, 1.1982421875, 0.1878662109375, -0.873046875, -0.465087890625, 0.66796875, -0.05621337890625, 0.2313232421875, 0.53662109375, -0.666015625, -0.779296875, -0.8232421875, 0.346435546875, -0.30224609375, -0.2332763671875, -1.2275390625, -0.2880859375, -0.0594482421875, 0.70166015625, -0.27197265625, -0.53759765625, 0.216552734375, -1.0029296875, 0.4287109375, -0.4189453125, -0.72607421875, -0.7119140625, -0.34033203125, -0.06439208984375, 1.064453125, 0.1822509765625, 0.30224609375, -0.08941650390625, -0.055511474609375, 0.53271484375, 0.18408203125, -0.42578125, -0.289306640625, -0.411376953125, 0.47314453125, 0.1734619140625, -0.08880615234375, -0.32861328125, 0.476318359375, -0.8134765625, 0.15234375, -0.33154296875, -0.0655517578125, -0.1773681640625, -0.489501953125, 0.80908203125, -0.50244140625, -0.09222412109375, -0.31640625, 1.029296875, 0.406005859375, -0.366455078125, -0.4169921875, -1.35546875, -0.96923828125, -1.2265625, 0.70458984375, -0.46875, -0.1361083984375, -0.74609375, -0.0034542083740234375, 1.0595703125, -0.33349609375, 0.5546875, 0.953125, 0.11962890625, -0.048797607421875, -0.642578125, 0.66162109375, 0.572265625, -0.283203125, -0.2353515625, 0.419189453125, -0.501953125, 0.29638671875, 0.03497314453125, -1.220703125, -0.82861328125, 0.409423828125, 1.2861328125, -0.276123046875, 0.68603515625, 0.25439453125, -1.27734375, -0.529296875, 0.814453125, 0.26708984375, 0.544921875, 1.2646484375, -0.2420654296875, -0.07562255859375, -0.0513916015625, -0.35986328125, -0.257568359375, -0.52978515625, 1.3154296875, -0.5634765625, -0.54443359375, 0.39892578125, 1.0615234375, -1.107421875, -0.9755859375, 0.033782958984375, 0.133544921875, -0.047698974609375, -0.65234375, 0.0631103515625, 0.2021484375, -0.62744140625, 0.02545166015625, 0.3740234375, 0.2183837890625, 0.53271484375, 0.306884765625, 0.44091796875, -0.301025390625, 0.466552734375, 0.64404296875, -0.391845703125, -0.125732421875, -0.89599609375, -0.10101318359375, -0.40380859375, 0.049224853515625, 0.88671875, -0.361328125, 0.591796875, 0.67724609375, -0.1053466796875, 0.796875, -0.09173583984375, -0.73291015625, 0.40771484375, -0.74560546875, -0.332275390625, 0.350830078125, 0.5654296875, -0.212158203125, 0.1273193359375, -0.6064453125, -0.3583984375, -0.0653076171875, 0.38671875, -0.37255859375, -0.6474609375, -0.295654296875, -1.0087890625, -0.669921875, -0.63427734375, -0.58837890625, -0.040283203125, -0.08648681640625, 0.055145263671875, -0.73388671875, 0.09173583984375, 0.432861328125, -0.45751953125, 1.0478515625, -0.8115234375, 0.50048828125, -0.642578125, -0.369384765625, -0.466552734375, -0.07452392578125, -0.1334228515625, -0.06304931640625, -0.69677734375, 0.01442718505859375, 0.00748443603515625, 0.420654296875, -0.15869140625, 0.4638671875, -0.19091796875, -0.794921875, 0.038238525390625, 0.0850830078125, -0.002193450927734375, 0.361328125, 0.37060546875, -0.2275390625, 0.1640625, -0.091064453125, -0.400390625, -0.464599609375, 0.490966796875, 0.2705078125, -0.0880126953125, -0.039794921875, -0.162841796875, 0.45166015625, -1.0625, -0.065185546875, -0.1964111328125, 0.185546875, 0.2093505859375, -0.22705078125, 0.381591796875, 1.0068359375, 0.0499267578125, -0.0234527587890625, 0.04071044921875, 0.347412109375, 0.130859375, -0.035125732421875, -0.0611572265625, 0.279296875, 0.341796875, -0.434326171875, 0.1517333984375, 0.1502685546875, 0.0023365020751953125, 0.1700439453125, -0.1773681640625, -0.6142578125, -0.57568359375, -0.638671875, -0.55419921875, 0.41650390625, 0.0740966796875, -0.423095703125, 0.125732421875, 0.006683349609375, -0.08258056640625, 0.30810546875, -1.138671875, -0.72509765625, 0.1602783203125, -0.158447265625, -0.7841796875, -0.1387939453125, -0.27734375, -0.2491455078125, -0.0244903564453125, 0.1336669921875, -0.8115234375, 0.369384765625, -0.354736328125, 0.63916015625, -0.423828125, -0.0631103515625, 0.139404296875, 0.1871337890625, -0.6552734375, -0.38623046875, -0.30810546875, 1.1474609375, 0.16943359375, -0.35009765625, -0.420166015625, 0.221435546875, 0.214111328125, 0.18505859375, -0.599609375, 0.19580078125, -0.119384765625, 0.88916015625, -0.98974609375, -0.1728515625, -0.382568359375, 0.44140625, 0.455322265625, -0.364013671875, -0.607421875, 0.87451171875, 0.76416015625, -0.177490234375, 0.329833984375, 0.17529296875, 0.48779296875, -0.0025997161865234375, -0.046112060546875, -0.423095703125, 0.6865234375, 0.51904296875, 0.64697265625, -0.003467559814453125, 0.3515625, 0.377197265625, -0.3974609375, -0.57568359375, 0.50537109375, 0.154052734375, 0.04443359375, 0.1134033203125, -0.263427734375, 0.06591796875, 0.34765625, -0.78369140625, 0.456787109375, -0.1839599609375, -0.2529296875, -0.65478515625, -0.402099609375, 0.64892578125, -0.267333984375, -0.270263671875, 0.34619140625, -0.492431640625, 0.158203125, 0.689453125, 0.338623046875, 0.03955078125, 0.70458984375, 0.6591796875, 0.66259765625, 0.7001953125, -0.0159912109375, 0.515625, -0.78076171875, 0.047210693359375, 0.08880615234375, -0.25439453125, -0.10382080078125, -0.27392578125, -0.47900390625, 0.5537109375, -0.000012636184692382812, -0.37939453125, 0.56396484375, -0.499755859375, 0.05511474609375, -0.12127685546875, 0.7294921875, -0.81787109375, 0.3388671875, 0.390380859375, -0.343505859375, -0.439697265625, 0.86181640625, -0.43115234375, 0.357421875, 0.293701171875, 1.0947265625, 0.099609375, 1.28125, 0.28857421875, -0.130859375, -0.1497802734375, 0.357177734375, -0.1842041015625, -0.71044921875, -0.521484375, -0.204345703125, 0.258544921875, -0.94384765625, -0.57958984375, -0.30859375, 0.98583984375, -0.07720947265625, -0.880859375, 0.05987548828125, -0.00870513916015625, -0.82763671875, 0.1290283203125, 0.453125, 0.326171875, -0.208251953125, -0.1097412109375, -0.477783203125, -0.314697265625, -0.0162506103515625, -0.288818359375, 0.314208984375, -0.54736328125, -0.54541015625, -0.0679931640625, -0.92626953125, -0.765625, 0.20654296875, 0.08782958984375, -1.0673828125, 0.8193359375, 0.607421875, 0.252685546875, 0.42333984375, -0.256591796875, 0.1583251953125, 0.74267578125, 1.1474609375, 0.07562255859375, 0.81591796875, 0.44921875, -0.7265625, -0.0276336669921875, -0.57568359375, 0.469970703125, -0.06829833984375, 0.444091796875, -0.209228515625, 0.6865234375, -0.37744140625, -1.0927734375, -0.034088134765625, 0.321533203125, 0.875, -0.464111328125, -1.3583984375, -0.35498046875, -1.123046875, -0.2017822265625, -0.293701171875, 0.853515625, 0.23876953125, -0.2198486328125, 0.1392822265625, -0.83984375, 4.53515625, 1.009765625, 1.0556640625, 0.463623046875, 0.625, 0.99267578125, 0.27099609375, -0.625, -0.337646484375, -0.08636474609375, 0.473876953125, -0.322265625, -0.1302490234375, 0.751953125, 0.346435546875, 0.5068359375, -0.5634765625, 0.2421875, -0.2471923828125, -0.8798828125, -0.51953125, 0.419189453125, 0.08892822265625, 0.172607421875, 0.08111572265625, 0.12841796875, 0.30078125, -0.76611328125, -0.1422119140625, -0.7841796875, 0.1680908203125, -0.5205078125, 0.84765625, -0.053466796875, -0.1182861328125, 0.640625, -0.005626678466796875, -0.62841796875, -0.1409912109375, 0.03717041015625, -0.269775390625, -0.01165008544921875, 0.70947265625, -0.7060546875, -0.041961669921875, 0.525390625, -0.83154296875, 0.17529296875, 0.35302734375, -1.2958984375, 0.841796875, -0.1527099609375, 0.46923828125, -0.6552734375, -1.05859375, 0.356201171875, -0.0692138671875, -0.10565185546875, -0.1724853515625, 0.427734375, 0.54541015625, 0.50146484375, 0.2376708984375, 0.422119140625, -0.94091796875, 0.9599609375, -0.196533203125, 0.6005859375, -0.5830078125, -0.190673828125, -0.44287109375, -0.12152099609375, -0.378662109375, 0.00580596923828125, 0.578125, 0.291259765625, -0.41015625, 0.47412109375, 0.5322265625, -0.64111328125, 0.2489013671875, -0.218994140625, -0.2958984375, -0.0804443359375, 0.71044921875, 1.240234375, -0.76123046875, -0.164306640625, -0.58740234375, 0.69384765625, 0.17919921875, 0.57373046875, -0.275146484375, -0.33642578125, -0.145263671875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Beroffice text editor has a wide range of features that help working with text. One of the features is an automatic search for typos and suggestions of how to fix them. Beroffice works only with small English letters (i.e. with 26 letters from a to z). Beroffice thinks that a word is typed with a typo if there are three or more consonants in a row in the word. The only exception is that if the block of consonants has all letters the same, then this block (even if its length is greater than three) is not considered a typo. Formally, a word is typed with a typo if there is a block of not less that three consonants in a row, and there are at least two different letters in this block. For example: * the following words have typos: "hellno", "hackcerrs" and "backtothefutttture"; * the following words don't have typos: "helllllooooo", "tobeornottobe" and "oooooo". When Beroffice editor finds a word with a typo, it inserts as little as possible number of spaces in this word (dividing it into several words) in such a way that each of the resulting words is typed without any typos. Implement this feature of Beroffice editor. Consider the following letters as the only vowels: 'a', 'e', 'i', 'o' and 'u'. All the other letters are consonants in this problem. Input The only line contains a non-empty word consisting of small English letters. The length of the word is between 1 and 3000 letters. Output Print the given word without any changes if there are no typos. If there is at least one typo in the word, insert the minimum number of spaces into the word so that each of the resulting words doesn't have any typos. If there are multiple solutions, print any of them. Examples Input hellno Output hell no Input abacaba Output abacaba Input asdfasdf Output asd fasd f Tags: dp, greedy, implementation Correct Solution: ``` def main(): s = input() a = [] g = [elem for elem in "aeiou"] p = [] for i in range(len(s)): if (s[i] not in g): a.append(s[i]) else: a = [] if len(a) == 3: if (a[0] != a[1]) or (a[1] != a[2]): a = [ a[2] ] p.append(i) else: a = [ a[1], a[2] ] for i in range(len(s)): if i in p: print(" ", end='') print(s[i], end='') if __name__ == "__main__": main() ```
8,087
[ 0.346923828125, 0.10528564453125, 0.294921875, 0.135498046875, -0.53662109375, -0.493408203125, 0.322021484375, 0.0008649826049804688, 0.265625, 0.51611328125, 0.634765625, -0.08294677734375, -0.126220703125, -0.78369140625, -0.63330078125, -0.037261962890625, -0.58251953125, -0.73291015625, -0.430419921875, -0.428955078125, 0.0238189697265625, -0.30126953125, -1.3056640625, -0.152099609375, -0.1318359375, 1.1240234375, 0.109375, -0.057464599609375, 1.19921875, 0.9677734375, -0.1331787109375, -0.1591796875, 0.194580078125, -0.818359375, -0.45263671875, -0.192626953125, 0.83837890625, -0.69140625, -0.187255859375, -0.415283203125, 0.49560546875, -0.5419921875, 0.3203125, -0.90380859375, -1.259765625, -0.362060546875, -0.323974609375, -0.487060546875, 0.154296875, -0.2017822265625, 0.1435546875, 0.018218994140625, 0.39697265625, -0.07916259765625, -0.46923828125, -0.2225341796875, 0.01313018798828125, -0.046661376953125, -0.74755859375, 0.309326171875, 0.29052734375, 0.68017578125, 0.0394287109375, -0.388916015625, -0.1932373046875, 0.54443359375, -0.1552734375, -0.091064453125, 0.0980224609375, -0.1907958984375, 0.024749755859375, 0.2291259765625, -0.2083740234375, -0.76220703125, -0.2364501953125, -0.365966796875, 0.515625, -0.4951171875, -0.23583984375, 0.79248046875, 0.07440185546875, 1.1220703125, 0.54052734375, 0.1470947265625, -0.304443359375, -0.35205078125, 0.1754150390625, 0.476318359375, 0.1783447265625, -0.23388671875, -0.047088623046875, 0.54638671875, -0.728515625, 0.1676025390625, 0.818359375, 0.65380859375, -0.4130859375, 0.035675048828125, 0.126708984375, 0.1104736328125, 0.326416015625, 1.08203125, -0.8359375, 1.01953125, -0.42822265625, 0.263671875, 0.29345703125, -0.04034423828125, -0.447509765625, -0.035369873046875, -0.43994140625, -0.1949462890625, 0.30419921875, 0.370361328125, -0.34521484375, 0.814453125, -0.2529296875, 0.00014460086822509766, -0.71044921875, -0.262451171875, -0.00461578369140625, 0.4501953125, 0.28173828125, 0.2103271484375, -0.06488037109375, -0.1885986328125, -0.448974609375, 0.92626953125, -0.57470703125, -0.2186279296875, 0.387939453125, -0.1697998046875, 0.07464599609375, 0.437255859375, -0.16748046875, 0.452880859375, -0.156005859375, 0.6240234375, 0.44921875, -0.96240234375, 0.99072265625, -0.0206451416015625, -0.10736083984375, 1.2314453125, 0.468505859375, 0.368896484375, 0.830078125, 0.08538818359375, -0.82373046875, 0.583984375, -0.77490234375, 0.96484375, 0.059539794921875, 0.419677734375, -0.376953125, 0.61181640625, -0.1414794921875, 0.15087890625, 0.7548828125, -0.03228759765625, -0.455078125, 0.208251953125, -0.34033203125, 0.76025390625, -0.81103515625, 0.66552734375, -0.44140625, -0.272216796875, 0.235595703125, -0.59228515625, 0.0648193359375, -0.3623046875, -0.2454833984375, 0.48876953125, 0.45458984375, 1.0048828125, 0.9189453125, -0.1064453125, -0.1868896484375, -0.053253173828125, -0.35546875, 0.4736328125, 0.2193603515625, 0.333740234375, 0.333984375, 0.2086181640625, 0.328369140625, -0.1077880859375, -0.98193359375, -0.5751953125, 0.1357421875, 0.84765625, -0.71044921875, 0.1632080078125, 0.270263671875, 0.0694580078125, -1.0224609375, -0.0899658203125, 0.115966796875, -0.76220703125, -0.398681640625, 0.466796875, -0.189208984375, 0.304443359375, -0.189453125, -0.55908203125, 0.1513671875, 1.0380859375, -0.291015625, 0.052093505859375, 0.53662109375, 0.020111083984375, -0.26171875, 0.3095703125, 0.160888671875, -0.232177734375, -0.57275390625, 0.73681640625, -0.205078125, 0.046722412109375, 0.25439453125, 0.44775390625, 0.58837890625, 0.7216796875, -0.06427001953125, -0.248779296875, 0.5302734375, 1.1484375, -0.09698486328125, 0.465087890625, -0.21337890625, 0.6494140625, 0.327880859375, 0.5791015625, 0.5498046875, 0.0228118896484375, 0.86669921875, 0.94677734375, -0.00838470458984375, 0.168701171875, -0.38232421875, 0.2022705078125, 0.0626220703125, 1.095703125, -0.115234375, 0.69384765625, 0.1732177734375, -0.24658203125, -0.4189453125, 0.292724609375, -0.2005615234375, 1.205078125, 0.1114501953125, 0.8671875, -0.90869140625, -0.75927734375, 0.32470703125, 1.087890625, -1.078125, -0.5537109375, 0.0633544921875, 0.04571533203125, 0.1380615234375, 0.049560546875, 0.67138671875, 0.418212890625, 0.16455078125, 0.64111328125, -0.40283203125, -0.372314453125, -0.80224609375, -0.4677734375, -1.087890625, -0.3837890625, -0.59814453125, 0.08575439453125, 0.302490234375, -0.91796875, 0.62353515625, -0.346923828125, -0.41845703125, 0.40380859375, -0.72705078125, 0.54052734375, -0.5048828125, 1.0263671875, -0.53173828125, 0.49609375, 0.78662109375, 1.1484375, -0.384521484375, -0.42431640625, -0.440673828125, -0.6865234375, 0.7724609375, 0.3837890625, 0.308837890625, 0.81396484375, -0.76123046875, -0.861328125, -0.01300048828125, -0.34130859375, -0.26513671875, 0.033538818359375, -0.56787109375, 0.97314453125, 0.49658203125, -0.272705078125, 0.7802734375, 0.91162109375, -0.79345703125, 0.2108154296875, 0.08001708984375, 0.054046630859375, -0.8701171875, 0.96240234375, 0.52392578125, 0.0535888671875, -0.6083984375, -0.2308349609375, -0.471435546875, 0.045257568359375, 0.1534423828125, -0.7333984375, -0.244873046875, 0.482666015625, 0.412841796875, -1.2763671875, 0.2481689453125, -1.0263671875, -0.60546875, -0.7900390625, -0.21142578125, 1.2802734375, 0.88623046875, 0.11669921875, 0.0955810546875, -0.0770263671875, -0.312255859375, 0.892578125, 0.430419921875, -0.45751953125, 0.2142333984375, 0.94384765625, -0.036956787109375, -0.10223388671875, 0.464599609375, -0.431884765625, -0.1973876953125, 0.12646484375, 0.3662109375, 0.802734375, -0.05029296875, 0.481689453125, 0.16259765625, 0.666015625, -0.369384765625, -0.22216796875, -0.150634765625, 1.0361328125, 0.63623046875, 0.7578125, 0.6708984375, -0.242431640625, -0.11688232421875, -1.12890625, 0.84423828125, 0.54150390625, 0.96826171875, -0.69091796875, 0.7236328125, 0.63525390625, -0.79736328125, 0.2861328125, -0.446533203125, -0.30322265625, 1.0791015625, -0.192138671875, 1.3408203125, -0.10369873046875, 0.03326416015625, -0.07635498046875, 0.0026645660400390625, 0.64794921875, 0.544921875, 0.1844482421875, -0.08392333984375, -0.495849609375, -0.2310791015625, -0.407470703125, -0.64501953125, -0.388427734375, 0.416748046875, -0.428955078125, -0.482177734375, -0.923828125, 0.199951171875, 0.80126953125, 0.51123046875, -0.016754150390625, 0.50439453125, 0.432373046875, 0.8408203125, 0.480712890625, -0.33642578125, 0.270751953125, -1.0078125, 0.9345703125, -0.30078125, -0.1351318359375, -0.48046875, -0.7294921875, -0.12213134765625, 0.048736572265625, -0.07330322265625, -0.043304443359375, -0.791015625, 0.2073974609375, 0.300048828125, 0.62158203125, -0.76708984375, -0.1351318359375, -0.4736328125, 0.259521484375, -0.135498046875, -0.62939453125, 0.5439453125, -0.689453125, 0.462158203125, 0.27783203125, -0.213134765625, -0.258056640625, -0.58544921875, -0.66064453125, -0.34423828125, 0.189208984375, 0.56298828125, -0.08197021484375, 0.1610107421875, -0.75927734375, 0.472412109375, 0.279296875, -0.71240234375, -0.193359375, -0.333251953125, 0.1728515625, 0.5107421875, 1.306640625, -0.1136474609375, -0.65966796875, 0.15478515625, -1.138671875, 0.69580078125, -0.521484375, 0.26806640625, -0.462158203125, 0.048187255859375, 0.343017578125, 0.31591796875, -0.437744140625, -0.10772705078125, -0.144287109375, 0.430419921875, -1.173828125, -0.8505859375, 0.485107421875, -0.294921875, -0.2254638671875, 0.6123046875, 0.2064208984375, -0.55322265625, 0.261962890625, 0.52734375, -0.2091064453125, 0.302001953125, -0.8095703125, 0.307861328125, -0.39599609375, -0.859375, 0.035614013671875, -0.44580078125, 0.56298828125, 0.314453125, -0.83935546875, -0.296875, -1.1015625, -0.06329345703125, -0.2374267578125, -0.642578125, 0.986328125, 0.0051116943359375, 0.2105712890625, -0.1314697265625, -0.76708984375, -0.61279296875, -0.32177734375, -0.60791015625, -0.01039886474609375, 0.2281494140625, 0.54736328125, 0.7666015625, 0.049530029296875, -0.5400390625, -0.5185546875, -0.303955078125, -0.367431640625, -0.27490234375, -0.463134765625, -0.248779296875, -0.29296875, -0.6435546875, 0.197021484375, 0.0653076171875, 0.31298828125, 0.9345703125, 0.042755126953125, 0.258544921875, -0.077880859375, -0.73876953125, 0.75146484375, 0.1776123046875, -0.98681640625, -0.845703125, 0.5673828125, -0.10992431640625, 1.015625, 0.278076171875, -0.7099609375, -0.76904296875, -1.0830078125, 0.0193328857421875, -0.5517578125, -0.323974609375, -0.92041015625, -0.57421875, -0.273681640625, 0.258056640625, 0.15234375, -0.32763671875, 0.1451416015625, -0.91845703125, -0.22900390625, -0.271484375, -0.6376953125, -0.68408203125, -0.63134765625, -0.212890625, 1.0126953125, 0.2391357421875, 0.26513671875, -0.479736328125, -0.19970703125, 0.40576171875, -0.16943359375, -0.615234375, -0.471435546875, -0.159912109375, 0.03387451171875, -0.062255859375, -0.05731201171875, -0.771484375, 0.86279296875, -0.98095703125, 0.055816650390625, -0.2220458984375, -0.359375, -0.143310546875, -0.298583984375, 0.7861328125, -0.16162109375, -0.28564453125, -0.2401123046875, 0.5390625, 0.2391357421875, 0.27978515625, -0.50634765625, -0.65087890625, -0.398193359375, -0.74609375, 0.03314208984375, -0.67236328125, 0.3740234375, -0.07171630859375, -0.07037353515625, 1.21875, -0.311767578125, 0.304931640625, 1.3798828125, -0.048248291015625, 0.01201629638671875, -0.466796875, 0.740234375, 0.26708984375, -0.69775390625, -0.134033203125, 0.13720703125, -0.6201171875, 0.2244873046875, -0.1112060546875, -0.86328125, -0.68359375, 0.501953125, 1.3603515625, -0.0479736328125, 1.095703125, -0.05792236328125, -0.84765625, -0.81787109375, 0.7275390625, 0.285400390625, 0.330810546875, 0.91015625, -0.1685791015625, -0.25830078125, 0.0653076171875, -0.1734619140625, -0.2410888671875, -0.422119140625, 0.970703125, -0.0377197265625, -0.99609375, 0.431396484375, 1.205078125, -1.240234375, -0.982421875, 0.093994140625, 0.476318359375, -0.273193359375, -0.490966796875, 0.271728515625, 0.492919921875, -0.4404296875, 0.3564453125, 0.397216796875, -0.2076416015625, 0.2880859375, 0.2003173828125, 0.302001953125, -0.338623046875, 0.343017578125, 0.9873046875, -0.63037109375, -0.4765625, -0.56494140625, 0.30517578125, -0.42724609375, -0.1099853515625, 0.67138671875, 0.053802490234375, 0.211669921875, 0.70947265625, -0.544921875, 0.880859375, -0.8232421875, -0.4912109375, 0.0859375, -0.61669921875, -1.0009765625, -0.2216796875, 0.55419921875, -0.042144775390625, -0.2314453125, -0.708984375, -0.20458984375, 0.2052001953125, 0.2322998046875, -0.495849609375, -0.75537109375, -0.1962890625, -0.99560546875, -0.252197265625, -0.2010498046875, -0.6015625, -0.314453125, 0.204833984375, 0.35302734375, -0.370849609375, -0.0116729736328125, -0.0260467529296875, -0.66259765625, 1.0947265625, -0.454345703125, 0.1864013671875, -0.372802734375, -0.66015625, -0.9755859375, 0.183349609375, -0.5654296875, -0.37451171875, -0.9375, 0.306640625, 0.408447265625, 0.42919921875, 0.12078857421875, 0.418212890625, -0.363525390625, -0.318603515625, -0.016265869140625, 0.10919189453125, -0.05743408203125, 0.67041015625, 0.366455078125, -0.0968017578125, 0.47265625, -0.1875, -0.64453125, -0.35986328125, 0.28369140625, 0.35205078125, -0.30712890625, -0.460693359375, -0.1497802734375, 0.2294921875, -0.859375, 0.263671875, -0.5166015625, -0.1407470703125, -0.23583984375, -0.5263671875, 0.29833984375, 0.91015625, 0.09130859375, 0.38330078125, 0.0377197265625, 0.0697021484375, 0.54931640625, 0.1868896484375, 0.348876953125, 0.03155517578125, 0.181640625, -0.39306640625, 0.059417724609375, 0.5478515625, 0.24462890625, 0.397216796875, -0.354736328125, -0.492919921875, -0.9619140625, 0.008819580078125, 0.04461669921875, 0.30419921875, 0.2154541015625, -0.611328125, -0.334228515625, 0.310791015625, -0.58935546875, 0.66796875, -0.685546875, -0.71484375, 0.51123046875, -0.244140625, -0.79345703125, -0.30517578125, -0.564453125, 0.05499267578125, 0.119873046875, 0.2088623046875, -0.3720703125, 0.43115234375, 0.0302734375, 0.302734375, -0.398681640625, 0.182861328125, 0.1376953125, 0.29638671875, -0.66015625, -0.20166015625, 0.472900390625, 1.1337890625, 0.4599609375, -0.191650390625, -0.662109375, 0.41845703125, -0.07110595703125, -0.101318359375, -0.352294921875, 0.2105712890625, -0.4482421875, 0.875, -0.7822265625, 0.05853271484375, -0.06927490234375, 0.53564453125, 0.358642578125, -0.343017578125, -0.32275390625, 0.63916015625, 0.560546875, -0.006183624267578125, 0.221435546875, 0.285400390625, 0.316162109375, -0.399658203125, 0.050079345703125, -0.377685546875, 0.91259765625, 0.1898193359375, 0.390869140625, -0.1832275390625, 0.548828125, 0.69921875, -0.08831787109375, -0.357177734375, 1.1611328125, -0.048858642578125, -0.00568389892578125, 0.1295166015625, -0.209228515625, -0.1868896484375, -0.40283203125, -0.6826171875, 0.30078125, -0.20947265625, -0.203369140625, -0.28466796875, -0.837890625, 0.97900390625, -0.2137451171875, -0.362060546875, -0.164306640625, -0.525390625, 0.1470947265625, 0.9052734375, 0.1455078125, -0.0033435821533203125, 0.53955078125, 0.3583984375, 0.1405029296875, 0.673828125, 0.41748046875, 0.29443359375, -0.55029296875, 0.673828125, -0.3037109375, 0.0287933349609375, -0.22265625, -0.337890625, -0.90625, -0.037078857421875, -0.381591796875, -0.01062774658203125, 0.556640625, -0.6572265625, 0.03936767578125, -0.224853515625, 0.59130859375, -1.01953125, 0.51806640625, 0.39453125, -0.21533203125, -0.48779296875, 0.4677734375, -0.1541748046875, 0.07763671875, 0.013458251953125, 1.35546875, 0.0025844573974609375, 1.12109375, 0.1611328125, -0.1937255859375, 0.232666015625, 0.090576171875, -0.26904296875, -1.0400390625, -0.802734375, -0.70947265625, 0.59375, -0.363525390625, -0.56103515625, 0.0014972686767578125, 0.56005859375, -0.29052734375, -0.9833984375, -0.1378173828125, 0.421142578125, -0.464111328125, 0.72509765625, 0.443115234375, 0.3994140625, -0.1270751953125, -0.1121826171875, -0.3740234375, -0.29443359375, 0.33251953125, -0.51708984375, 0.5302734375, -0.65625, -0.422119140625, -0.271484375, -0.489990234375, -0.41259765625, 0.136474609375, -0.287841796875, -0.77587890625, 0.13232421875, 0.78125, 0.1004638671875, 0.2255859375, -0.406982421875, 0.07196044921875, 1.5087890625, 1.181640625, -0.1024169921875, 0.82080078125, 0.061004638671875, -0.79150390625, 0.60595703125, -0.53125, 0.55029296875, -0.381591796875, -0.2198486328125, -0.61669921875, 0.59228515625, -0.888671875, -1.298828125, 0.0682373046875, 0.53369140625, 0.449951171875, -1.1005859375, -0.931640625, -0.267822265625, -1.1982421875, -0.55615234375, -0.4267578125, 0.38232421875, 0.213134765625, -0.12152099609375, 0.182861328125, -1.177734375, 4.34765625, 1.3271484375, 0.701171875, 0.260009765625, 0.0791015625, 0.685546875, 0.80712890625, -0.044647216796875, 0.018310546875, -0.63525390625, 0.564453125, -0.38623046875, 0.01201629638671875, 0.796875, 0.1878662109375, 0.71142578125, -0.76806640625, 0.20849609375, -0.12493896484375, -0.95263671875, -0.8505859375, 0.1524658203125, 0.102294921875, 0.587890625, 0.2491455078125, 0.1094970703125, 0.42578125, -0.418212890625, -0.39453125, -0.54931640625, -0.1104736328125, -0.58642578125, 0.8359375, -0.1322021484375, -0.220947265625, 0.59130859375, 0.41455078125, -0.87841796875, -0.22998046875, -0.0909423828125, -0.46728515625, -0.11517333984375, 0.57763671875, -0.492431640625, 0.65966796875, 0.68017578125, -0.1759033203125, -0.08660888671875, 0.4873046875, -0.9228515625, 1.0576171875, -0.51318359375, 0.6044921875, -1.080078125, -0.4892578125, 0.06317138671875, -0.047271728515625, -0.3515625, -0.234375, 0.392578125, 0.62939453125, -0.1446533203125, 0.1644287109375, 0.5166015625, -0.96240234375, 0.6611328125, -0.1619873046875, 0.72216796875, -0.62109375, -0.338623046875, -0.1611328125, -0.1549072265625, -0.1260986328125, -0.10455322265625, 0.80712890625, 0.10040283203125, 0.1044921875, 0.49267578125, 0.55908203125, -1.0205078125, 0.583984375, 0.032073974609375, -0.327392578125, -0.580078125, 0.55859375, 0.98095703125, -0.38330078125, -0.71826171875, -0.53466796875, 0.65234375, 0.57470703125, 0.52880859375, 0.1297607421875, -0.44384765625, -0.55029296875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Beroffice text editor has a wide range of features that help working with text. One of the features is an automatic search for typos and suggestions of how to fix them. Beroffice works only with small English letters (i.e. with 26 letters from a to z). Beroffice thinks that a word is typed with a typo if there are three or more consonants in a row in the word. The only exception is that if the block of consonants has all letters the same, then this block (even if its length is greater than three) is not considered a typo. Formally, a word is typed with a typo if there is a block of not less that three consonants in a row, and there are at least two different letters in this block. For example: * the following words have typos: "hellno", "hackcerrs" and "backtothefutttture"; * the following words don't have typos: "helllllooooo", "tobeornottobe" and "oooooo". When Beroffice editor finds a word with a typo, it inserts as little as possible number of spaces in this word (dividing it into several words) in such a way that each of the resulting words is typed without any typos. Implement this feature of Beroffice editor. Consider the following letters as the only vowels: 'a', 'e', 'i', 'o' and 'u'. All the other letters are consonants in this problem. Input The only line contains a non-empty word consisting of small English letters. The length of the word is between 1 and 3000 letters. Output Print the given word without any changes if there are no typos. If there is at least one typo in the word, insert the minimum number of spaces into the word so that each of the resulting words doesn't have any typos. If there are multiple solutions, print any of them. Examples Input hellno Output hell no Input abacaba Output abacaba Input asdfasdf Output asd fasd f Tags: dp, greedy, implementation Correct Solution: ``` s = input() vowels = ('a', 'e', 'u', 'o', 'i') res = '' i = 0 while i < len(s) - 2: if s[i] not in vowels and s[i + 1] not in vowels and s[i + 2] not in vowels and s[i: i + 3] != s[i] * 3: res += s[i: i + 2] + ' ' i += 2 else: res += s[i] i += 1 res += s[i:] print(res) ```
8,088
[ 0.301513671875, 0.11395263671875, 0.28271484375, 0.1517333984375, -0.55712890625, -0.480224609375, 0.309326171875, 0.01453399658203125, 0.2071533203125, 0.49951171875, 0.603515625, -0.08721923828125, -0.10015869140625, -0.7578125, -0.6318359375, -0.031005859375, -0.5859375, -0.73291015625, -0.458984375, -0.419189453125, 0.06048583984375, -0.318603515625, -1.3134765625, -0.1185302734375, -0.125244140625, 1.12890625, 0.14111328125, -0.0860595703125, 1.2197265625, 0.98046875, -0.10870361328125, -0.16748046875, 0.1668701171875, -0.82763671875, -0.422119140625, -0.1944580078125, 0.79296875, -0.6240234375, -0.1920166015625, -0.43408203125, 0.47119140625, -0.55712890625, 0.296630859375, -0.87255859375, -1.244140625, -0.373046875, -0.303466796875, -0.4931640625, 0.2235107421875, -0.1944580078125, 0.155029296875, -0.053924560546875, 0.397705078125, -0.08587646484375, -0.448974609375, -0.203857421875, 0.0635986328125, -0.0031452178955078125, -0.77685546875, 0.29833984375, 0.282958984375, 0.6669921875, 0.01812744140625, -0.39794921875, -0.2147216796875, 0.509765625, -0.1346435546875, -0.09161376953125, 0.11114501953125, -0.2303466796875, 0.0478515625, 0.16845703125, -0.261962890625, -0.74853515625, -0.2216796875, -0.34765625, 0.51611328125, -0.456298828125, -0.23876953125, 0.830078125, 0.08203125, 1.111328125, 0.53515625, 0.20068359375, -0.3076171875, -0.385009765625, 0.19287109375, 0.451904296875, 0.13671875, -0.2366943359375, -0.09228515625, 0.513671875, -0.724609375, 0.148681640625, 0.8359375, 0.66357421875, -0.37158203125, 0.064208984375, 0.1773681640625, 0.124755859375, 0.331298828125, 1.052734375, -0.86572265625, 1.0126953125, -0.432373046875, 0.304931640625, 0.309326171875, -0.0283966064453125, -0.469482421875, -0.00870513916015625, -0.484375, -0.16943359375, 0.289306640625, 0.423828125, -0.330810546875, 0.8212890625, -0.32470703125, 0.01904296875, -0.73583984375, -0.2626953125, -0.0207672119140625, 0.4794921875, 0.28076171875, 0.1766357421875, -0.03131103515625, -0.234375, -0.4853515625, 0.9619140625, -0.5830078125, -0.2420654296875, 0.360107421875, -0.1630859375, 0.0738525390625, 0.44921875, -0.10693359375, 0.48681640625, -0.12017822265625, 0.57177734375, 0.388916015625, -0.94384765625, 0.962890625, 0.009613037109375, -0.1549072265625, 1.255859375, 0.477783203125, 0.361328125, 0.79296875, 0.08636474609375, -0.828125, 0.59619140625, -0.78076171875, 0.98583984375, 0.040069580078125, 0.399169921875, -0.37255859375, 0.61572265625, -0.16455078125, 0.1165771484375, 0.7568359375, -0.03631591796875, -0.51416015625, 0.175537109375, -0.371826171875, 0.7421875, -0.77685546875, 0.658203125, -0.439697265625, -0.2109375, 0.2279052734375, -0.56298828125, 0.06573486328125, -0.341552734375, -0.27734375, 0.482421875, 0.430419921875, 1.0087890625, 0.8818359375, -0.110595703125, -0.1553955078125, -0.045501708984375, -0.3515625, 0.489501953125, 0.1856689453125, 0.321044921875, 0.29052734375, 0.2169189453125, 0.292236328125, -0.08837890625, -0.98046875, -0.5634765625, 0.1483154296875, 0.8037109375, -0.69775390625, 0.1300048828125, 0.28515625, 0.058197021484375, -1.01953125, -0.00572967529296875, 0.1431884765625, -0.755859375, -0.416259765625, 0.491455078125, -0.1875, 0.28759765625, -0.1529541015625, -0.56982421875, 0.126953125, 1.0146484375, -0.324951171875, 0.06640625, 0.529296875, -0.0230255126953125, -0.34912109375, 0.287109375, 0.1685791015625, -0.2220458984375, -0.57470703125, 0.71826171875, -0.224853515625, 0.0655517578125, 0.27392578125, 0.50390625, 0.5888671875, 0.73046875, -0.08795166015625, -0.25390625, 0.5947265625, 1.140625, -0.10186767578125, 0.469970703125, -0.1729736328125, 0.6611328125, 0.353515625, 0.599609375, 0.529296875, 0.044708251953125, 0.84228515625, 0.98583984375, -0.00887298583984375, 0.1934814453125, -0.38427734375, 0.216552734375, 0.037017822265625, 1.1201171875, -0.1181640625, 0.6689453125, 0.1845703125, -0.24951171875, -0.39013671875, 0.281982421875, -0.1568603515625, 1.228515625, 0.10565185546875, 0.87744140625, -0.90283203125, -0.81298828125, 0.3173828125, 1.09375, -1.0537109375, -0.6083984375, 0.08551025390625, 0.04656982421875, 0.1845703125, 0.04595947265625, 0.68310546875, 0.395751953125, 0.1995849609375, 0.67724609375, -0.43017578125, -0.39599609375, -0.763671875, -0.46875, -1.0654296875, -0.41455078125, -0.59033203125, 0.07073974609375, 0.290771484375, -0.9580078125, 0.63623046875, -0.2303466796875, -0.422607421875, 0.370361328125, -0.7421875, 0.53564453125, -0.54541015625, 0.97119140625, -0.55810546875, 0.50634765625, 0.69775390625, 1.1572265625, -0.3876953125, -0.379150390625, -0.423583984375, -0.66357421875, 0.74462890625, 0.3662109375, 0.27197265625, 0.8232421875, -0.80859375, -0.87939453125, -0.04681396484375, -0.3837890625, -0.251220703125, 0.0162353515625, -0.544921875, 0.92822265625, 0.4736328125, -0.259521484375, 0.7763671875, 0.92333984375, -0.82470703125, 0.2364501953125, 0.09368896484375, 0.05023193359375, -0.85107421875, 0.94091796875, 0.50146484375, 0.054107666015625, -0.61572265625, -0.2314453125, -0.47216796875, 0.02093505859375, 0.12445068359375, -0.71630859375, -0.16796875, 0.43798828125, 0.363525390625, -1.265625, 0.29052734375, -1.06640625, -0.64892578125, -0.77490234375, -0.1778564453125, 1.283203125, 0.93017578125, 0.138427734375, 0.0869140625, -0.0762939453125, -0.3251953125, 0.857421875, 0.489501953125, -0.4521484375, 0.2222900390625, 0.94775390625, -0.043975830078125, -0.040557861328125, 0.499755859375, -0.464599609375, -0.1834716796875, 0.08782958984375, 0.361328125, 0.8056640625, -0.0667724609375, 0.447265625, 0.1368408203125, 0.69091796875, -0.385009765625, -0.2352294921875, -0.16796875, 1.0302734375, 0.63525390625, 0.7705078125, 0.65283203125, -0.242431640625, -0.1141357421875, -1.1416015625, 0.84765625, 0.5224609375, 0.97705078125, -0.701171875, 0.7041015625, 0.5986328125, -0.810546875, 0.261474609375, -0.440185546875, -0.3125, 1.115234375, -0.1895751953125, 1.341796875, -0.074462890625, 0.07635498046875, -0.11053466796875, -0.00494384765625, 0.66845703125, 0.556640625, 0.1707763671875, -0.1171875, -0.466552734375, -0.209228515625, -0.3623046875, -0.6171875, -0.383056640625, 0.432861328125, -0.455322265625, -0.46337890625, -0.9462890625, 0.1890869140625, 0.818359375, 0.439697265625, 0.0189208984375, 0.54345703125, 0.4423828125, 0.8291015625, 0.5283203125, -0.358154296875, 0.2861328125, -1.0322265625, 0.95751953125, -0.29833984375, -0.153564453125, -0.407958984375, -0.748046875, -0.08612060546875, 0.04376220703125, -0.05615234375, -0.007648468017578125, -0.8408203125, 0.18017578125, 0.2491455078125, 0.60693359375, -0.79443359375, -0.128662109375, -0.474609375, 0.270263671875, -0.1376953125, -0.6103515625, 0.505859375, -0.73876953125, 0.479248046875, 0.261474609375, -0.1925048828125, -0.270263671875, -0.58203125, -0.689453125, -0.3408203125, 0.1925048828125, 0.5517578125, -0.007625579833984375, 0.1788330078125, -0.78125, 0.49658203125, 0.279052734375, -0.77392578125, -0.1600341796875, -0.3447265625, 0.2161865234375, 0.467529296875, 1.3056640625, -0.132080078125, -0.70556640625, 0.2025146484375, -1.1533203125, 0.71923828125, -0.50341796875, 0.2841796875, -0.479736328125, 0.0172119140625, 0.404296875, 0.29248046875, -0.444580078125, -0.0860595703125, -0.163818359375, 0.3935546875, -1.1201171875, -0.908203125, 0.49365234375, -0.279296875, -0.27197265625, 0.64208984375, 0.2392578125, -0.57275390625, 0.263916015625, 0.5244140625, -0.1376953125, 0.323486328125, -0.8173828125, 0.29638671875, -0.42919921875, -0.86328125, 0.0239715576171875, -0.51318359375, 0.546875, 0.29345703125, -0.85693359375, -0.318115234375, -1.103515625, -0.059661865234375, -0.22607421875, -0.6728515625, 0.98193359375, -0.05645751953125, 0.212646484375, -0.126708984375, -0.73583984375, -0.63037109375, -0.33056640625, -0.587890625, -0.05670166015625, 0.193359375, 0.552734375, 0.7880859375, 0.0305023193359375, -0.4970703125, -0.5234375, -0.31982421875, -0.365966796875, -0.289306640625, -0.467041015625, -0.2119140625, -0.35302734375, -0.6083984375, 0.2210693359375, 0.0435791015625, 0.28271484375, 0.94873046875, 0.031402587890625, 0.196533203125, -0.15673828125, -0.69970703125, 0.763671875, 0.1302490234375, -0.984375, -0.7890625, 0.5419921875, -0.09033203125, 1.0712890625, 0.2431640625, -0.73974609375, -0.78173828125, -1.0146484375, -0.0240325927734375, -0.57421875, -0.3125, -0.9677734375, -0.5849609375, -0.326416015625, 0.315673828125, 0.13720703125, -0.243408203125, 0.1212158203125, -0.94189453125, -0.1998291015625, -0.316650390625, -0.623046875, -0.66796875, -0.61767578125, -0.18701171875, 1.0556640625, 0.173828125, 0.267578125, -0.43994140625, -0.22021484375, 0.415283203125, -0.1707763671875, -0.61328125, -0.453125, -0.1483154296875, 0.02813720703125, -0.0289459228515625, -0.1004638671875, -0.81982421875, 0.85595703125, -0.97998046875, 0.058135986328125, -0.2186279296875, -0.366455078125, -0.08160400390625, -0.268310546875, 0.818359375, -0.2012939453125, -0.2705078125, -0.230712890625, 0.50048828125, 0.25, 0.27099609375, -0.470458984375, -0.61474609375, -0.42919921875, -0.67626953125, 0.05181884765625, -0.63232421875, 0.458740234375, -0.06353759765625, -0.130615234375, 1.22265625, -0.294677734375, 0.30615234375, 1.3125, -0.059600830078125, 0.00664520263671875, -0.464111328125, 0.7470703125, 0.289794921875, -0.658203125, -0.11834716796875, 0.11700439453125, -0.70703125, 0.263671875, -0.170654296875, -0.86279296875, -0.70849609375, 0.51171875, 1.306640625, -0.0660400390625, 1.09765625, -0.044464111328125, -0.84814453125, -0.84228515625, 0.748046875, 0.319091796875, 0.294921875, 0.8720703125, -0.1964111328125, -0.24365234375, 0.11871337890625, -0.21484375, -0.2274169921875, -0.459228515625, 0.939453125, -0.190185546875, -1.0263671875, 0.436767578125, 1.1767578125, -1.248046875, -1.0087890625, 0.0513916015625, 0.47265625, -0.26025390625, -0.50048828125, 0.2998046875, 0.53857421875, -0.427978515625, 0.36328125, 0.3828125, -0.207275390625, 0.350830078125, 0.2139892578125, 0.282958984375, -0.349365234375, 0.358154296875, 0.94970703125, -0.64990234375, -0.50634765625, -0.54931640625, 0.3515625, -0.4365234375, -0.10162353515625, 0.6796875, 0.10260009765625, 0.1854248046875, 0.72021484375, -0.57177734375, 0.876953125, -0.8662109375, -0.475830078125, 0.092529296875, -0.626953125, -0.9990234375, -0.2386474609375, 0.57666015625, -0.1123046875, -0.1754150390625, -0.7265625, -0.189697265625, 0.257080078125, 0.288818359375, -0.44140625, -0.7568359375, -0.1846923828125, -1.0087890625, -0.264404296875, -0.1856689453125, -0.58837890625, -0.27978515625, 0.1978759765625, 0.3994140625, -0.33544921875, -0.00762939453125, -0.032958984375, -0.65771484375, 1.1494140625, -0.468017578125, 0.189453125, -0.3388671875, -0.58251953125, -0.94873046875, 0.1566162109375, -0.57421875, -0.324951171875, -0.9208984375, 0.302734375, 0.322998046875, 0.426025390625, 0.06927490234375, 0.4345703125, -0.354248046875, -0.284912109375, -0.0819091796875, 0.11834716796875, -0.0633544921875, 0.72509765625, 0.41357421875, -0.06622314453125, 0.51171875, -0.1339111328125, -0.5986328125, -0.36279296875, 0.26513671875, 0.410888671875, -0.331787109375, -0.473388671875, -0.1395263671875, 0.205322265625, -0.87255859375, 0.337646484375, -0.509765625, -0.1678466796875, -0.2314453125, -0.53515625, 0.330810546875, 0.919921875, 0.09332275390625, 0.3271484375, -0.0091094970703125, -0.014190673828125, 0.53271484375, 0.1771240234375, 0.32958984375, 0.042449951171875, 0.262451171875, -0.43994140625, 0.032073974609375, 0.54736328125, 0.28955078125, 0.38134765625, -0.359130859375, -0.53515625, -0.9775390625, 0.09967041015625, 0.0239715576171875, 0.3349609375, 0.274658203125, -0.6376953125, -0.324462890625, 0.2244873046875, -0.60888671875, 0.6748046875, -0.76318359375, -0.70263671875, 0.513671875, -0.219970703125, -0.76123046875, -0.31103515625, -0.5302734375, 0.08685302734375, 0.06878662109375, 0.251953125, -0.335693359375, 0.474365234375, 0.017364501953125, 0.31640625, -0.330322265625, 0.1768798828125, 0.1689453125, 0.31201171875, -0.59765625, -0.1910400390625, 0.4794921875, 1.115234375, 0.446044921875, -0.18798828125, -0.67724609375, 0.377197265625, -0.11444091796875, -0.09356689453125, -0.330322265625, 0.24951171875, -0.3583984375, 0.90771484375, -0.8583984375, 0.09368896484375, -0.083984375, 0.5458984375, 0.34423828125, -0.349853515625, -0.261962890625, 0.61083984375, 0.56982421875, 0.01042938232421875, 0.2205810546875, 0.24755859375, 0.343017578125, -0.4296875, 0.06439208984375, -0.387939453125, 0.92236328125, 0.1915283203125, 0.399658203125, -0.209228515625, 0.57958984375, 0.70068359375, -0.08087158203125, -0.3701171875, 1.1826171875, -0.04180908203125, 0.00286102294921875, 0.1331787109375, -0.28466796875, -0.1649169921875, -0.406982421875, -0.6513671875, 0.259765625, -0.25341796875, -0.170166015625, -0.2366943359375, -0.85791015625, 0.9951171875, -0.23486328125, -0.35009765625, -0.220703125, -0.5185546875, 0.1650390625, 0.9013671875, 0.1925048828125, -0.0016279220581054688, 0.5166015625, 0.32958984375, 0.1502685546875, 0.64990234375, 0.448486328125, 0.308349609375, -0.57861328125, 0.69482421875, -0.260986328125, -0.01236724853515625, -0.201416015625, -0.33349609375, -0.912109375, -0.04315185546875, -0.33251953125, -0.00597381591796875, 0.6064453125, -0.68798828125, 0.07122802734375, -0.259521484375, 0.6064453125, -0.99951171875, 0.485595703125, 0.390380859375, -0.1851806640625, -0.486572265625, 0.51611328125, -0.1829833984375, 0.105224609375, 0.00740814208984375, 1.392578125, -0.056365966796875, 1.18359375, 0.1705322265625, -0.1832275390625, 0.2349853515625, 0.09844970703125, -0.31494140625, -1.052734375, -0.80810546875, -0.69140625, 0.5498046875, -0.404541015625, -0.53466796875, -0.01409912109375, 0.55712890625, -0.2939453125, -0.98291015625, -0.1917724609375, 0.412353515625, -0.4873046875, 0.71484375, 0.39404296875, 0.353515625, -0.08978271484375, -0.10711669921875, -0.3603515625, -0.310546875, 0.3369140625, -0.496826171875, 0.5849609375, -0.66259765625, -0.458740234375, -0.2705078125, -0.52294921875, -0.487548828125, 0.168701171875, -0.27880859375, -0.79443359375, 0.2030029296875, 0.74462890625, 0.07635498046875, 0.20654296875, -0.409423828125, 0.1224365234375, 1.46484375, 1.13671875, -0.0762939453125, 0.78955078125, 0.07012939453125, -0.72265625, 0.6142578125, -0.54443359375, 0.56787109375, -0.341796875, -0.2152099609375, -0.609375, 0.6181640625, -0.900390625, -1.259765625, 0.059906005859375, 0.5966796875, 0.447265625, -1.1455078125, -1.0166015625, -0.26171875, -1.2099609375, -0.529296875, -0.451171875, 0.392333984375, 0.24365234375, -0.09222412109375, 0.1959228515625, -1.208984375, 4.3359375, 1.33203125, 0.6787109375, 0.2327880859375, 0.07958984375, 0.7451171875, 0.7890625, 0.00957489013671875, 0.03656005859375, -0.60107421875, 0.5703125, -0.389404296875, -0.03656005859375, 0.76904296875, 0.2349853515625, 0.73486328125, -0.7109375, 0.156982421875, -0.1199951171875, -0.94482421875, -0.8525390625, 0.145751953125, 0.1649169921875, 0.58349609375, 0.249755859375, 0.07574462890625, 0.441162109375, -0.364990234375, -0.364501953125, -0.65283203125, -0.11187744140625, -0.6123046875, 0.8203125, -0.0970458984375, -0.236572265625, 0.60009765625, 0.425537109375, -0.8720703125, -0.28173828125, -0.0753173828125, -0.4423828125, -0.13916015625, 0.56787109375, -0.537109375, 0.64599609375, 0.6494140625, -0.1417236328125, -0.025909423828125, 0.5107421875, -0.92919921875, 1.0302734375, -0.50927734375, 0.6044921875, -1.06640625, -0.484375, 0.06549072265625, -0.043487548828125, -0.2939453125, -0.246337890625, 0.400146484375, 0.6103515625, -0.11566162109375, 0.15185546875, 0.5576171875, -1.0234375, 0.6337890625, -0.156982421875, 0.73193359375, -0.60888671875, -0.277587890625, -0.187255859375, -0.1783447265625, -0.100341796875, -0.150634765625, 0.80712890625, 0.13720703125, 0.12066650390625, 0.5146484375, 0.54931640625, -1.0263671875, 0.61474609375, 0.0221710205078125, -0.29150390625, -0.54150390625, 0.55224609375, 0.9853515625, -0.50390625, -0.73291015625, -0.55859375, 0.66650390625, 0.60205078125, 0.51904296875, 0.135498046875, -0.381103515625, -0.55810546875 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Beroffice text editor has a wide range of features that help working with text. One of the features is an automatic search for typos and suggestions of how to fix them. Beroffice works only with small English letters (i.e. with 26 letters from a to z). Beroffice thinks that a word is typed with a typo if there are three or more consonants in a row in the word. The only exception is that if the block of consonants has all letters the same, then this block (even if its length is greater than three) is not considered a typo. Formally, a word is typed with a typo if there is a block of not less that three consonants in a row, and there are at least two different letters in this block. For example: * the following words have typos: "hellno", "hackcerrs" and "backtothefutttture"; * the following words don't have typos: "helllllooooo", "tobeornottobe" and "oooooo". When Beroffice editor finds a word with a typo, it inserts as little as possible number of spaces in this word (dividing it into several words) in such a way that each of the resulting words is typed without any typos. Implement this feature of Beroffice editor. Consider the following letters as the only vowels: 'a', 'e', 'i', 'o' and 'u'. All the other letters are consonants in this problem. Input The only line contains a non-empty word consisting of small English letters. The length of the word is between 1 and 3000 letters. Output Print the given word without any changes if there are no typos. If there is at least one typo in the word, insert the minimum number of spaces into the word so that each of the resulting words doesn't have any typos. If there are multiple solutions, print any of them. Examples Input hellno Output hell no Input abacaba Output abacaba Input asdfasdf Output asd fasd f Tags: dp, greedy, implementation Correct Solution: ``` class Solver: def main(self): s = input() ls = len(s) vowels = 'aeiou' cnt = 0 breaks = [] same = 0 for i in range(0, ls): if s[i] in vowels: cnt = 0 same = 0 elif i > 0 and s[i-1] == s[i]: same += 1 cnt = cnt else: cnt += 1 if same + cnt >= 3 and cnt >= 2: breaks.append(i) cnt = 1 same = 0 lbreaks = len(breaks) current = 0 for i in range(ls): if current < lbreaks and i == breaks[current]: print(' ', end='') current += 1 print(s[i], end='') print() Solver().main() ```
8,089
[ 0.347412109375, 0.11865234375, 0.267822265625, 0.11669921875, -0.53466796875, -0.495849609375, 0.272216796875, 0.00785064697265625, 0.24462890625, 0.497802734375, 0.5849609375, -0.05645751953125, -0.13623046875, -0.75341796875, -0.625, -0.03375244140625, -0.57421875, -0.72021484375, -0.47802734375, -0.458740234375, 0.049041748046875, -0.315673828125, -1.2958984375, -0.1610107421875, -0.1156005859375, 1.109375, 0.1346435546875, -0.0911865234375, 1.1689453125, 0.97705078125, -0.1307373046875, -0.1844482421875, 0.1622314453125, -0.80908203125, -0.4189453125, -0.1695556640625, 0.77783203125, -0.666015625, -0.220947265625, -0.419677734375, 0.455078125, -0.54638671875, 0.281494140625, -0.912109375, -1.232421875, -0.34326171875, -0.32373046875, -0.460693359375, 0.23974609375, -0.1741943359375, 0.153564453125, -0.02392578125, 0.39306640625, -0.092041015625, -0.45654296875, -0.1822509765625, 0.00809478759765625, 0.0017786026000976562, -0.7490234375, 0.27197265625, 0.309814453125, 0.677734375, 0.0207977294921875, -0.40185546875, -0.2333984375, 0.478515625, -0.11871337890625, -0.11334228515625, 0.10302734375, -0.190673828125, 0.009033203125, 0.18603515625, -0.1993408203125, -0.7109375, -0.263671875, -0.338134765625, 0.52734375, -0.474853515625, -0.251220703125, 0.8095703125, 0.062408447265625, 1.1455078125, 0.4873046875, 0.1673583984375, -0.33837890625, -0.388671875, 0.16748046875, 0.460205078125, 0.13623046875, -0.261474609375, -0.0946044921875, 0.53662109375, -0.7294921875, 0.1802978515625, 0.87841796875, 0.61572265625, -0.367919921875, 0.0213165283203125, 0.171875, 0.1217041015625, 0.382080078125, 1.0810546875, -0.88134765625, 0.98583984375, -0.48095703125, 0.279541015625, 0.2529296875, -0.04052734375, -0.448486328125, -0.00485992431640625, -0.444091796875, -0.185791015625, 0.33935546875, 0.41064453125, -0.332763671875, 0.7919921875, -0.304931640625, 0.0124053955078125, -0.697265625, -0.257080078125, -0.00748443603515625, 0.423583984375, 0.298095703125, 0.1763916015625, 0.00865936279296875, -0.2210693359375, -0.49853515625, 0.95361328125, -0.57470703125, -0.1893310546875, 0.409912109375, -0.1693115234375, 0.0499267578125, 0.4287109375, -0.15869140625, 0.47265625, -0.158935546875, 0.6201171875, 0.3974609375, -0.92236328125, 0.966796875, 0.01186370849609375, -0.113037109375, 1.255859375, 0.47509765625, 0.316162109375, 0.81298828125, 0.07708740234375, -0.814453125, 0.58251953125, -0.763671875, 0.98486328125, 0.0159454345703125, 0.424072265625, -0.425537109375, 0.60693359375, -0.15283203125, 0.11407470703125, 0.79248046875, -0.046295166015625, -0.50341796875, 0.19921875, -0.3232421875, 0.7490234375, -0.76025390625, 0.66650390625, -0.4033203125, -0.212646484375, 0.2188720703125, -0.583984375, 0.08306884765625, -0.35400390625, -0.253662109375, 0.497314453125, 0.43017578125, 0.99755859375, 0.89990234375, -0.11297607421875, -0.15673828125, -0.0631103515625, -0.347412109375, 0.436279296875, 0.2171630859375, 0.307861328125, 0.301025390625, 0.2059326171875, 0.296142578125, -0.07421875, -0.9853515625, -0.5205078125, 0.14111328125, 0.8056640625, -0.7529296875, 0.1134033203125, 0.30517578125, 0.050750732421875, -1.02734375, -0.057342529296875, 0.1234130859375, -0.7451171875, -0.396728515625, 0.52490234375, -0.2388916015625, 0.28955078125, -0.219482421875, -0.552734375, 0.1455078125, 1.0126953125, -0.3173828125, 0.056365966796875, 0.5087890625, 0.001613616943359375, -0.318115234375, 0.289794921875, 0.15966796875, -0.255859375, -0.57177734375, 0.70458984375, -0.2010498046875, 0.046661376953125, 0.3271484375, 0.51416015625, 0.60498046875, 0.728515625, -0.044677734375, -0.2666015625, 0.55224609375, 1.1318359375, -0.077880859375, 0.53173828125, -0.171142578125, 0.6337890625, 0.35498046875, 0.59228515625, 0.51416015625, 0.03521728515625, 0.826171875, 0.9716796875, 0.044464111328125, 0.19921875, -0.354248046875, 0.1884765625, 0.0748291015625, 1.103515625, -0.12890625, 0.65966796875, 0.1983642578125, -0.220703125, -0.46240234375, 0.2548828125, -0.1624755859375, 1.1845703125, 0.08642578125, 0.81787109375, -0.8876953125, -0.7236328125, 0.337158203125, 1.048828125, -1.0458984375, -0.5791015625, 0.054962158203125, 0.041595458984375, 0.1490478515625, 0.01751708984375, 0.6875, 0.390869140625, 0.24072265625, 0.6728515625, -0.4765625, -0.384765625, -0.82421875, -0.478271484375, -1.103515625, -0.398681640625, -0.60302734375, 0.050140380859375, 0.26904296875, -0.88916015625, 0.609375, -0.2587890625, -0.454345703125, 0.413818359375, -0.73095703125, 0.572265625, -0.5244140625, 1.0302734375, -0.60986328125, 0.47314453125, 0.72607421875, 1.1220703125, -0.40380859375, -0.39990234375, -0.4130859375, -0.68310546875, 0.69287109375, 0.37353515625, 0.30224609375, 0.81494140625, -0.85009765625, -0.8427734375, -0.0254974365234375, -0.349365234375, -0.1942138671875, 0.1064453125, -0.560546875, 0.974609375, 0.431640625, -0.265869140625, 0.755859375, 0.93701171875, -0.79833984375, 0.274169921875, 0.09576416015625, 0.0838623046875, -0.86767578125, 0.9775390625, 0.5185546875, 0.06195068359375, -0.63671875, -0.2327880859375, -0.464599609375, 0.0469970703125, 0.162109375, -0.744140625, -0.2093505859375, 0.44970703125, 0.37158203125, -1.2783203125, 0.252685546875, -1.056640625, -0.63037109375, -0.7880859375, -0.22998046875, 1.26171875, 0.931640625, 0.137939453125, 0.1036376953125, -0.0626220703125, -0.32763671875, 0.87890625, 0.430419921875, -0.42919921875, 0.2431640625, 0.9677734375, 0.00580596923828125, -0.06610107421875, 0.4921875, -0.463623046875, -0.2218017578125, 0.1025390625, 0.37939453125, 0.76953125, -0.051055908203125, 0.445556640625, 0.1798095703125, 0.66064453125, -0.381103515625, -0.2235107421875, -0.1395263671875, 1.03515625, 0.658203125, 0.80029296875, 0.67431640625, -0.257080078125, -0.135986328125, -1.09765625, 0.8330078125, 0.5390625, 0.96826171875, -0.638671875, 0.708984375, 0.6240234375, -0.7978515625, 0.298095703125, -0.43505859375, -0.333740234375, 1.08984375, -0.1348876953125, 1.2958984375, -0.0706787109375, 0.071533203125, -0.11181640625, 0.0589599609375, 0.63330078125, 0.5498046875, 0.1649169921875, -0.1156005859375, -0.47998046875, -0.19189453125, -0.347412109375, -0.58642578125, -0.366943359375, 0.455322265625, -0.4697265625, -0.442138671875, -0.94140625, 0.2305908203125, 0.84375, 0.463623046875, -0.033111572265625, 0.56005859375, 0.443115234375, 0.873046875, 0.5751953125, -0.365234375, 0.301513671875, -1.0244140625, 0.8857421875, -0.28125, -0.1512451171875, -0.473876953125, -0.72314453125, -0.08447265625, 0.0172119140625, -0.040740966796875, -0.041839599609375, -0.77490234375, 0.2012939453125, 0.2900390625, 0.63525390625, -0.833984375, -0.1480712890625, -0.48291015625, 0.240478515625, -0.1368408203125, -0.5947265625, 0.52978515625, -0.76171875, 0.482177734375, 0.26171875, -0.205078125, -0.258056640625, -0.5419921875, -0.697265625, -0.348876953125, 0.16259765625, 0.54345703125, 0.005695343017578125, 0.190185546875, -0.8037109375, 0.487060546875, 0.250732421875, -0.74755859375, -0.198486328125, -0.35693359375, 0.2113037109375, 0.462890625, 1.2978515625, -0.1402587890625, -0.65673828125, 0.1357421875, -1.1513671875, 0.67626953125, -0.47314453125, 0.278076171875, -0.497314453125, 0.0023403167724609375, 0.390869140625, 0.3271484375, -0.39013671875, -0.1270751953125, -0.197509765625, 0.4140625, -1.1005859375, -0.8828125, 0.4716796875, -0.2626953125, -0.21337890625, 0.64990234375, 0.216552734375, -0.576171875, 0.280517578125, 0.56005859375, -0.1456298828125, 0.301025390625, -0.79833984375, 0.298583984375, -0.393798828125, -0.87353515625, 0.09246826171875, -0.521484375, 0.556640625, 0.2447509765625, -0.8974609375, -0.324951171875, -1.1259765625, -0.051055908203125, -0.213134765625, -0.623046875, 1.01171875, -0.040069580078125, 0.1956787109375, -0.146484375, -0.72412109375, -0.61328125, -0.301025390625, -0.6103515625, -0.026031494140625, 0.2159423828125, 0.5498046875, 0.79052734375, 0.0304107666015625, -0.53369140625, -0.5166015625, -0.295654296875, -0.3583984375, -0.33203125, -0.50732421875, -0.2354736328125, -0.349609375, -0.60400390625, 0.2286376953125, 0.0491943359375, 0.300048828125, 0.9375, 0.048919677734375, 0.18017578125, -0.1082763671875, -0.7080078125, 0.7646484375, 0.122802734375, -0.9755859375, -0.814453125, 0.53173828125, -0.041473388671875, 1.0654296875, 0.2470703125, -0.7099609375, -0.7890625, -1.0068359375, -0.022674560546875, -0.55615234375, -0.30322265625, -0.93994140625, -0.5888671875, -0.28076171875, 0.28662109375, 0.113525390625, -0.269287109375, 0.07269287109375, -0.955078125, -0.1871337890625, -0.32080078125, -0.58154296875, -0.71923828125, -0.609375, -0.267578125, 1.02734375, 0.25341796875, 0.27099609375, -0.45947265625, -0.1942138671875, 0.4140625, -0.17138671875, -0.62841796875, -0.48046875, -0.1466064453125, -0.0159912109375, -0.0545654296875, -0.058837890625, -0.83642578125, 0.8076171875, -0.9521484375, 0.05047607421875, -0.23046875, -0.36328125, -0.0850830078125, -0.293701171875, 0.8251953125, -0.1717529296875, -0.27685546875, -0.2724609375, 0.49560546875, 0.267822265625, 0.2010498046875, -0.4794921875, -0.6435546875, -0.410888671875, -0.70458984375, 0.063720703125, -0.62451171875, 0.426025390625, -0.04736328125, -0.10137939453125, 1.1884765625, -0.311279296875, 0.348388671875, 1.296875, -0.08233642578125, 0.0234832763671875, -0.431884765625, 0.76025390625, 0.25830078125, -0.66845703125, -0.1444091796875, 0.104736328125, -0.6484375, 0.25146484375, -0.1510009765625, -0.8603515625, -0.66357421875, 0.469482421875, 1.3037109375, -0.101806640625, 1.115234375, -0.0894775390625, -0.84326171875, -0.8349609375, 0.7197265625, 0.31591796875, 0.319091796875, 0.8857421875, -0.166015625, -0.2403564453125, 0.0771484375, -0.1658935546875, -0.2120361328125, -0.4697265625, 0.96044921875, -0.1192626953125, -0.97509765625, 0.41748046875, 1.21875, -1.2080078125, -0.994140625, 0.0897216796875, 0.44921875, -0.2447509765625, -0.489990234375, 0.310791015625, 0.49072265625, -0.45654296875, 0.37255859375, 0.4169921875, -0.2332763671875, 0.317138671875, 0.212890625, 0.281494140625, -0.376708984375, 0.340576171875, 0.91455078125, -0.6474609375, -0.513671875, -0.54296875, 0.310546875, -0.40576171875, -0.1376953125, 0.7265625, 0.06585693359375, 0.1591796875, 0.689453125, -0.57861328125, 0.90185546875, -0.89111328125, -0.50146484375, 0.04705810546875, -0.638671875, -1.0029296875, -0.2283935546875, 0.54736328125, -0.08917236328125, -0.2318115234375, -0.68115234375, -0.15380859375, 0.236572265625, 0.277099609375, -0.4423828125, -0.73046875, -0.2406005859375, -1.0087890625, -0.276123046875, -0.208740234375, -0.56689453125, -0.318603515625, 0.2093505859375, 0.376220703125, -0.355224609375, 0.0026149749755859375, -0.0172576904296875, -0.68310546875, 1.181640625, -0.4609375, 0.1810302734375, -0.375, -0.6455078125, -0.92236328125, 0.1541748046875, -0.51611328125, -0.272216796875, -0.9482421875, 0.31591796875, 0.338623046875, 0.443603515625, 0.0758056640625, 0.416748046875, -0.353515625, -0.308349609375, -0.028594970703125, 0.10809326171875, -0.1107177734375, 0.71923828125, 0.39990234375, -0.125, 0.458984375, -0.1463623046875, -0.6171875, -0.4013671875, 0.3076171875, 0.332763671875, -0.280517578125, -0.45361328125, -0.14990234375, 0.1954345703125, -0.85693359375, 0.2919921875, -0.4765625, -0.168212890625, -0.26025390625, -0.544921875, 0.338623046875, 0.892578125, 0.0540771484375, 0.37255859375, -0.036041259765625, 0.048370361328125, 0.52783203125, 0.1549072265625, 0.32763671875, 0.0002472400665283203, 0.240234375, -0.389404296875, 0.04443359375, 0.572265625, 0.2181396484375, 0.382080078125, -0.34130859375, -0.50732421875, -0.9658203125, 0.0679931640625, 0.009368896484375, 0.289306640625, 0.2294921875, -0.64111328125, -0.349365234375, 0.271240234375, -0.61669921875, 0.65966796875, -0.71435546875, -0.6865234375, 0.5029296875, -0.2310791015625, -0.76123046875, -0.2939453125, -0.57470703125, 0.08648681640625, 0.111083984375, 0.23681640625, -0.332275390625, 0.4599609375, 0.0034027099609375, 0.314697265625, -0.355712890625, 0.161865234375, 0.10687255859375, 0.29345703125, -0.59423828125, -0.1898193359375, 0.463134765625, 1.1123046875, 0.47509765625, -0.1583251953125, -0.6962890625, 0.405517578125, -0.101318359375, -0.08441162109375, -0.322509765625, 0.2374267578125, -0.404541015625, 0.89013671875, -0.81640625, 0.09033203125, -0.10504150390625, 0.572265625, 0.310546875, -0.335205078125, -0.272216796875, 0.5576171875, 0.51123046875, -0.009796142578125, 0.2178955078125, 0.26416015625, 0.329833984375, -0.43115234375, 0.0537109375, -0.4140625, 0.92138671875, 0.1475830078125, 0.41064453125, -0.196533203125, 0.56640625, 0.72509765625, -0.043243408203125, -0.3740234375, 1.171875, -0.00907135009765625, 0.045654296875, 0.141845703125, -0.235595703125, -0.1861572265625, -0.361572265625, -0.66162109375, 0.293701171875, -0.27294921875, -0.1875, -0.25439453125, -0.8505859375, 0.9580078125, -0.1927490234375, -0.33935546875, -0.1973876953125, -0.55419921875, 0.149658203125, 0.9052734375, 0.18505859375, 0.0130462646484375, 0.5029296875, 0.378662109375, 0.1796875, 0.6630859375, 0.444580078125, 0.37353515625, -0.60107421875, 0.66943359375, -0.26513671875, 0.028564453125, -0.2015380859375, -0.36767578125, -0.90966796875, -0.044769287109375, -0.351318359375, 0.0023441314697265625, 0.5732421875, -0.68408203125, 0.0513916015625, -0.255126953125, 0.55908203125, -0.97265625, 0.446044921875, 0.370849609375, -0.20458984375, -0.5263671875, 0.521484375, -0.152587890625, 0.08941650390625, 0.041107177734375, 1.345703125, -0.045257568359375, 1.1787109375, 0.189208984375, -0.161865234375, 0.2109375, 0.113037109375, -0.301025390625, -1.0517578125, -0.77392578125, -0.69677734375, 0.56689453125, -0.4326171875, -0.6044921875, 0.0160675048828125, 0.564453125, -0.30126953125, -0.9736328125, -0.1744384765625, 0.435302734375, -0.47509765625, 0.712890625, 0.457763671875, 0.351318359375, -0.07611083984375, -0.1165771484375, -0.359375, -0.28857421875, 0.34765625, -0.5517578125, 0.560546875, -0.67626953125, -0.46044921875, -0.241943359375, -0.50244140625, -0.44921875, 0.157470703125, -0.291748046875, -0.7978515625, 0.177734375, 0.7392578125, 0.12646484375, 0.1942138671875, -0.39990234375, 0.0997314453125, 1.5, 1.126953125, -0.10284423828125, 0.81787109375, 0.06353759765625, -0.736328125, 0.6123046875, -0.56005859375, 0.55126953125, -0.343994140625, -0.234130859375, -0.5888671875, 0.580078125, -0.89990234375, -1.279296875, 0.05560302734375, 0.603515625, 0.46875, -1.1337890625, -1.0048828125, -0.23779296875, -1.1865234375, -0.55029296875, -0.43212890625, 0.39990234375, 0.208251953125, -0.10748291015625, 0.1419677734375, -1.2236328125, 4.36328125, 1.3095703125, 0.6787109375, 0.310302734375, 0.1278076171875, 0.72314453125, 0.80517578125, 0.01012420654296875, 0.0345458984375, -0.57373046875, 0.54345703125, -0.391845703125, -0.004150390625, 0.78369140625, 0.2271728515625, 0.7119140625, -0.67626953125, 0.233154296875, -0.142333984375, -0.904296875, -0.86376953125, 0.139404296875, 0.11480712890625, 0.55029296875, 0.267822265625, 0.0985107421875, 0.38818359375, -0.403564453125, -0.37255859375, -0.61279296875, -0.1463623046875, -0.5869140625, 0.859375, -0.10186767578125, -0.2012939453125, 0.59814453125, 0.42041015625, -0.8896484375, -0.271728515625, -0.04901123046875, -0.44970703125, -0.1551513671875, 0.587890625, -0.48486328125, 0.65771484375, 0.6328125, -0.1494140625, -0.0201873779296875, 0.5185546875, -0.89697265625, 1.013671875, -0.5166015625, 0.6015625, -1.0146484375, -0.462646484375, 0.08233642578125, -0.05059814453125, -0.29931640625, -0.2646484375, 0.40478515625, 0.60302734375, -0.1329345703125, 0.1685791015625, 0.5380859375, -0.99951171875, 0.6240234375, -0.154296875, 0.7138671875, -0.6240234375, -0.284423828125, -0.147705078125, -0.1680908203125, -0.11126708984375, -0.169189453125, 0.8173828125, 0.1539306640625, 0.0701904296875, 0.5634765625, 0.55224609375, -1.017578125, 0.62548828125, 0.01258087158203125, -0.301025390625, -0.5283203125, 0.552734375, 0.97509765625, -0.41650390625, -0.69287109375, -0.5576171875, 0.66796875, 0.6181640625, 0.515625, 0.1893310546875, -0.385498046875, -0.52734375 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Beroffice text editor has a wide range of features that help working with text. One of the features is an automatic search for typos and suggestions of how to fix them. Beroffice works only with small English letters (i.e. with 26 letters from a to z). Beroffice thinks that a word is typed with a typo if there are three or more consonants in a row in the word. The only exception is that if the block of consonants has all letters the same, then this block (even if its length is greater than three) is not considered a typo. Formally, a word is typed with a typo if there is a block of not less that three consonants in a row, and there are at least two different letters in this block. For example: * the following words have typos: "hellno", "hackcerrs" and "backtothefutttture"; * the following words don't have typos: "helllllooooo", "tobeornottobe" and "oooooo". When Beroffice editor finds a word with a typo, it inserts as little as possible number of spaces in this word (dividing it into several words) in such a way that each of the resulting words is typed without any typos. Implement this feature of Beroffice editor. Consider the following letters as the only vowels: 'a', 'e', 'i', 'o' and 'u'. All the other letters are consonants in this problem. Input The only line contains a non-empty word consisting of small English letters. The length of the word is between 1 and 3000 letters. Output Print the given word without any changes if there are no typos. If there is at least one typo in the word, insert the minimum number of spaces into the word so that each of the resulting words doesn't have any typos. If there are multiple solutions, print any of them. Examples Input hellno Output hell no Input abacaba Output abacaba Input asdfasdf Output asd fasd f Tags: dp, greedy, implementation Correct Solution: ``` word = list(input()) ns = 0 onesymbol = '' onesymbolcount = 0 for i in range(len(word)): if onesymbol == word[i] and ns == 0: onesymbolcount += 1 continue if word[i] in ['a', 'e', 'i', 'o', 'u']: ns = 0 onesymbolcount = 0 onesymbol = '' else: if onesymbol != '': ns += onesymbolcount onesymbol = word[i] onesymbolcount = 1 if ns >= 2: word[i-1] += ' ' ns = 0 # print(word[i], ns, onesymbol, onesymbolcount) print("".join(word)) ```
8,090
[ 0.284423828125, 0.09027099609375, 0.3671875, 0.0958251953125, -0.46435546875, -0.51708984375, 0.373046875, 0.0361328125, 0.23583984375, 0.51513671875, 0.60205078125, -0.04229736328125, -0.12384033203125, -0.77099609375, -0.57421875, 0.0023345947265625, -0.5791015625, -0.70849609375, -0.418212890625, -0.455810546875, 0.07635498046875, -0.36669921875, -1.306640625, -0.192626953125, -0.10906982421875, 1.15625, 0.0894775390625, -0.0699462890625, 1.19921875, 1.001953125, -0.1539306640625, -0.2578125, 0.2357177734375, -0.85693359375, -0.46826171875, -0.1378173828125, 0.8603515625, -0.677734375, -0.15966796875, -0.393798828125, 0.496337890625, -0.560546875, 0.331298828125, -0.8818359375, -1.2080078125, -0.33447265625, -0.353271484375, -0.480224609375, 0.1473388671875, -0.2080078125, 0.1329345703125, -0.0167083740234375, 0.421630859375, -0.07623291015625, -0.455078125, -0.2724609375, 0.021209716796875, -0.032073974609375, -0.67333984375, 0.35791015625, 0.287841796875, 0.72900390625, 0.06597900390625, -0.388427734375, -0.2454833984375, 0.501953125, -0.1593017578125, -0.03509521484375, 0.134765625, -0.25048828125, 0.0328369140625, 0.2330322265625, -0.2276611328125, -0.73828125, -0.251953125, -0.330078125, 0.54833984375, -0.5126953125, -0.241943359375, 0.79052734375, 0.07666015625, 1.1064453125, 0.5048828125, 0.228515625, -0.327880859375, -0.35888671875, 0.1536865234375, 0.4072265625, 0.237060546875, -0.2763671875, -0.00684356689453125, 0.51708984375, -0.71435546875, 0.12060546875, 0.81591796875, 0.615234375, -0.438232421875, 0.035797119140625, 0.10223388671875, 0.1490478515625, 0.356689453125, 1.0439453125, -0.81689453125, 1.013671875, -0.50439453125, 0.22119140625, 0.272216796875, -0.027557373046875, -0.4248046875, 0.005657196044921875, -0.468017578125, -0.1766357421875, 0.32763671875, 0.437255859375, -0.34619140625, 0.80224609375, -0.31396484375, -0.044830322265625, -0.705078125, -0.230712890625, -0.00885009765625, 0.456298828125, 0.259521484375, 0.1822509765625, -0.027252197265625, -0.1737060546875, -0.43408203125, 0.89990234375, -0.5625, -0.216064453125, 0.435302734375, -0.14501953125, 0.09295654296875, 0.418701171875, -0.165283203125, 0.479736328125, -0.1385498046875, 0.609375, 0.474365234375, -0.97021484375, 0.99560546875, -0.012664794921875, -0.1275634765625, 1.2314453125, 0.484619140625, 0.314453125, 0.83544921875, 0.07025146484375, -0.82861328125, 0.57666015625, -0.7685546875, 1.005859375, 0.052703857421875, 0.4306640625, -0.417236328125, 0.5927734375, -0.164794921875, 0.158935546875, 0.77294921875, -0.00665283203125, -0.45556640625, 0.19677734375, -0.35888671875, 0.81884765625, -0.78515625, 0.658203125, -0.47119140625, -0.283203125, 0.2432861328125, -0.61767578125, 0.07781982421875, -0.359375, -0.279296875, 0.420654296875, 0.384033203125, 0.98779296875, 0.9462890625, -0.156005859375, -0.1827392578125, -0.030242919921875, -0.359619140625, 0.48828125, 0.2242431640625, 0.364501953125, 0.314208984375, 0.203125, 0.295166015625, -0.10699462890625, -0.93359375, -0.595703125, 0.147216796875, 0.8486328125, -0.71142578125, 0.1806640625, 0.3154296875, 0.04962158203125, -1.0478515625, -0.07440185546875, 0.1429443359375, -0.81787109375, -0.44970703125, 0.494873046875, -0.1817626953125, 0.306640625, -0.236328125, -0.58837890625, 0.148193359375, 1.0146484375, -0.261474609375, 0.01544189453125, 0.54345703125, -0.0179595947265625, -0.235107421875, 0.271484375, 0.11749267578125, -0.25341796875, -0.50830078125, 0.7783203125, -0.16162109375, 0.0180206298828125, 0.22607421875, 0.47900390625, 0.580078125, 0.72998046875, -0.00560760498046875, -0.275634765625, 0.489013671875, 1.2138671875, -0.0908203125, 0.4677734375, -0.2039794921875, 0.6357421875, 0.4140625, 0.58984375, 0.556640625, 0.09210205078125, 0.8505859375, 0.95703125, -0.006412506103515625, 0.1689453125, -0.380859375, 0.2286376953125, 0.09527587890625, 1.125, -0.06622314453125, 0.734375, 0.186279296875, -0.1798095703125, -0.394775390625, 0.2467041015625, -0.21142578125, 1.16015625, 0.09735107421875, 0.8388671875, -0.875, -0.74072265625, 0.320068359375, 1.0771484375, -1.0478515625, -0.55078125, 0.049285888671875, 0.031646728515625, 0.2156982421875, 0.07232666015625, 0.6943359375, 0.328369140625, 0.182373046875, 0.634765625, -0.4072265625, -0.343994140625, -0.791015625, -0.470703125, -1.052734375, -0.41748046875, -0.58984375, 0.08843994140625, 0.338134765625, -0.986328125, 0.6611328125, -0.291748046875, -0.451416015625, 0.3974609375, -0.6875, 0.548828125, -0.53466796875, 1.03125, -0.533203125, 0.457763671875, 0.72216796875, 1.1572265625, -0.422607421875, -0.447021484375, -0.453857421875, -0.7451171875, 0.72216796875, 0.364990234375, 0.3125, 0.74755859375, -0.7900390625, -0.85205078125, 0.009246826171875, -0.306640625, -0.259033203125, 0.0662841796875, -0.5537109375, 0.88916015625, 0.4443359375, -0.348876953125, 0.7021484375, 0.89697265625, -0.78076171875, 0.265380859375, 0.052764892578125, 0.0238494873046875, -0.89599609375, 0.970703125, 0.50146484375, 0.1134033203125, -0.60107421875, -0.22119140625, -0.43896484375, 0.06439208984375, 0.1474609375, -0.72314453125, -0.2607421875, 0.389404296875, 0.433837890625, -1.2431640625, 0.252685546875, -1.078125, -0.60498046875, -0.755859375, -0.241455078125, 1.3291015625, 0.8515625, 0.103759765625, 0.0946044921875, -0.087646484375, -0.330810546875, 0.9150390625, 0.43896484375, -0.447998046875, 0.2138671875, 0.93505859375, -0.02099609375, -0.06219482421875, 0.439453125, -0.43408203125, -0.2332763671875, 0.11309814453125, 0.402587890625, 0.78564453125, -0.068359375, 0.4306640625, 0.130859375, 0.68359375, -0.379638671875, -0.2156982421875, -0.15087890625, 1.0810546875, 0.61083984375, 0.78271484375, 0.6640625, -0.281494140625, -0.144287109375, -1.1318359375, 0.8525390625, 0.5224609375, 0.95068359375, -0.62841796875, 0.744140625, 0.568359375, -0.783203125, 0.256103515625, -0.453369140625, -0.28564453125, 1.0712890625, -0.2164306640625, 1.2958984375, -0.053802490234375, 0.0222015380859375, -0.108154296875, 0.0279388427734375, 0.66259765625, 0.6240234375, 0.16796875, -0.11260986328125, -0.49072265625, -0.189453125, -0.416015625, -0.591796875, -0.390869140625, 0.389404296875, -0.45068359375, -0.5048828125, -0.90966796875, 0.2095947265625, 0.84033203125, 0.46630859375, 0.01035308837890625, 0.54931640625, 0.3857421875, 0.796875, 0.60205078125, -0.337890625, 0.2744140625, -0.986328125, 0.9423828125, -0.267822265625, -0.1513671875, -0.474853515625, -0.736328125, -0.1380615234375, 0.03302001953125, -0.07720947265625, -0.0207672119140625, -0.8193359375, 0.2103271484375, 0.2685546875, 0.59228515625, -0.84228515625, -0.11676025390625, -0.4345703125, 0.29443359375, -0.149169921875, -0.61962890625, 0.5615234375, -0.71630859375, 0.4169921875, 0.291748046875, -0.206298828125, -0.2900390625, -0.5849609375, -0.63330078125, -0.37255859375, 0.20556640625, 0.54150390625, -0.03826904296875, 0.161376953125, -0.79541015625, 0.493408203125, 0.3681640625, -0.72900390625, -0.2449951171875, -0.32470703125, 0.23095703125, 0.43017578125, 1.3115234375, -0.1103515625, -0.68994140625, 0.1689453125, -1.158203125, 0.64306640625, -0.5341796875, 0.30810546875, -0.473388671875, 0.01416778564453125, 0.34326171875, 0.28955078125, -0.4345703125, -0.10748291015625, -0.226806640625, 0.385009765625, -1.1328125, -0.8916015625, 0.46142578125, -0.292724609375, -0.24609375, 0.646484375, 0.206787109375, -0.53955078125, 0.242919921875, 0.51611328125, -0.1361083984375, 0.3115234375, -0.81884765625, 0.288330078125, -0.42626953125, -0.83740234375, 0.0265045166015625, -0.4609375, 0.57666015625, 0.288818359375, -0.857421875, -0.291748046875, -1.0947265625, -0.04736328125, -0.2091064453125, -0.62890625, 0.95166015625, -0.08465576171875, 0.1927490234375, -0.13720703125, -0.7158203125, -0.58984375, -0.38427734375, -0.677734375, -0.0010175704956054688, 0.198974609375, 0.53466796875, 0.8017578125, 0.035308837890625, -0.556640625, -0.488525390625, -0.25830078125, -0.318115234375, -0.279052734375, -0.505859375, -0.2276611328125, -0.313232421875, -0.67333984375, 0.21923828125, 0.0048675537109375, 0.27294921875, 0.88916015625, 0.02825927734375, 0.2291259765625, -0.02978515625, -0.734375, 0.73779296875, 0.168212890625, -0.998046875, -0.86181640625, 0.57080078125, -0.1451416015625, 0.95556640625, 0.2088623046875, -0.72900390625, -0.7626953125, -1.033203125, 0.02508544921875, -0.55029296875, -0.281982421875, -0.8564453125, -0.6455078125, -0.26904296875, 0.284912109375, 0.1104736328125, -0.2705078125, 0.10821533203125, -0.953125, -0.27197265625, -0.30322265625, -0.578125, -0.63037109375, -0.67822265625, -0.250244140625, 1.017578125, 0.255126953125, 0.296142578125, -0.458740234375, -0.26513671875, 0.42236328125, -0.172607421875, -0.6103515625, -0.468017578125, -0.1510009765625, 0.045928955078125, -0.08404541015625, -0.041107177734375, -0.78857421875, 0.87841796875, -0.974609375, 0.0997314453125, -0.2440185546875, -0.350830078125, -0.176025390625, -0.265380859375, 0.77685546875, -0.1793212890625, -0.25732421875, -0.2088623046875, 0.595703125, 0.1881103515625, 0.2354736328125, -0.51708984375, -0.63525390625, -0.41748046875, -0.7197265625, 0.00426483154296875, -0.66064453125, 0.432373046875, -0.084228515625, -0.051055908203125, 1.1982421875, -0.315185546875, 0.30126953125, 1.31640625, -0.049163818359375, 0.030670166015625, -0.47509765625, 0.74267578125, 0.31201171875, -0.70458984375, -0.161376953125, 0.08856201171875, -0.67578125, 0.23193359375, -0.09124755859375, -0.87060546875, -0.6884765625, 0.5205078125, 1.31640625, -0.042938232421875, 1.0888671875, -0.1268310546875, -0.82373046875, -0.79443359375, 0.80126953125, 0.273681640625, 0.327392578125, 0.92138671875, -0.2296142578125, -0.2490234375, 0.0755615234375, -0.1793212890625, -0.2130126953125, -0.44873046875, 0.92724609375, -0.055206298828125, -1.01171875, 0.426025390625, 1.2197265625, -1.2431640625, -0.98193359375, 0.0980224609375, 0.445068359375, -0.253173828125, -0.4697265625, 0.2841796875, 0.515625, -0.4697265625, 0.344970703125, 0.370361328125, -0.2274169921875, 0.28125, 0.1671142578125, 0.315185546875, -0.365966796875, 0.343994140625, 0.97412109375, -0.6572265625, -0.5302734375, -0.578125, 0.287353515625, -0.3779296875, -0.12646484375, 0.68212890625, 0.10296630859375, 0.243408203125, 0.72265625, -0.54296875, 0.91650390625, -0.8701171875, -0.5205078125, 0.09295654296875, -0.63818359375, -0.98876953125, -0.191650390625, 0.5126953125, -0.095947265625, -0.2398681640625, -0.748046875, -0.2100830078125, 0.1707763671875, 0.2232666015625, -0.48193359375, -0.79541015625, -0.2203369140625, -0.970703125, -0.2493896484375, -0.2088623046875, -0.58154296875, -0.37158203125, 0.2406005859375, 0.352294921875, -0.3984375, 0.0212554931640625, 0.01983642578125, -0.66259765625, 1.0908203125, -0.424560546875, 0.2237548828125, -0.361083984375, -0.60546875, -0.9521484375, 0.1507568359375, -0.5625, -0.33056640625, -0.9140625, 0.29541015625, 0.396240234375, 0.391357421875, 0.09832763671875, 0.437744140625, -0.30517578125, -0.351806640625, -0.00598907470703125, 0.11962890625, -0.061126708984375, 0.677734375, 0.39453125, -0.09027099609375, 0.52001953125, -0.1861572265625, -0.650390625, -0.396484375, 0.282470703125, 0.359375, -0.281005859375, -0.40966796875, -0.1295166015625, 0.2279052734375, -0.8505859375, 0.286376953125, -0.478759765625, -0.154296875, -0.25634765625, -0.572265625, 0.328125, 0.91455078125, 0.1214599609375, 0.3955078125, 0.046234130859375, 0.09332275390625, 0.53564453125, 0.2066650390625, 0.355712890625, 0.07769775390625, 0.16796875, -0.447998046875, 0.018829345703125, 0.5830078125, 0.28515625, 0.414306640625, -0.330322265625, -0.53125, -0.9873046875, -0.0282440185546875, -0.01666259765625, 0.31005859375, 0.214599609375, -0.6650390625, -0.302490234375, 0.258544921875, -0.55859375, 0.63623046875, -0.70166015625, -0.70703125, 0.5078125, -0.161865234375, -0.80078125, -0.339599609375, -0.55859375, 0.06427001953125, 0.11639404296875, 0.2230224609375, -0.431884765625, 0.42822265625, 0.007038116455078125, 0.357177734375, -0.468994140625, 0.175537109375, 0.1573486328125, 0.283447265625, -0.65283203125, -0.1871337890625, 0.447509765625, 1.1044921875, 0.46240234375, -0.208984375, -0.68798828125, 0.3740234375, -0.02447509765625, -0.1181640625, -0.300048828125, 0.1773681640625, -0.468017578125, 0.8759765625, -0.8125, 0.08941650390625, -0.10919189453125, 0.5927734375, 0.300048828125, -0.314697265625, -0.326904296875, 0.5751953125, 0.52197265625, -0.04083251953125, 0.223876953125, 0.253173828125, 0.341552734375, -0.417724609375, 0.08123779296875, -0.358642578125, 0.9228515625, 0.1773681640625, 0.425048828125, -0.140625, 0.51953125, 0.66162109375, -0.025787353515625, -0.356689453125, 1.1708984375, -0.053741455078125, 0.0223541259765625, 0.1439208984375, -0.24853515625, -0.16796875, -0.337890625, -0.62841796875, 0.287841796875, -0.2078857421875, -0.1417236328125, -0.26904296875, -0.85546875, 0.97705078125, -0.2421875, -0.306884765625, -0.1654052734375, -0.51806640625, 0.154052734375, 0.9248046875, 0.1580810546875, 0.0298614501953125, 0.52783203125, 0.348388671875, 0.14599609375, 0.69677734375, 0.430908203125, 0.31591796875, -0.578125, 0.625, -0.24609375, 0.01470184326171875, -0.1705322265625, -0.345703125, -0.8857421875, -0.060150146484375, -0.376953125, 0.023162841796875, 0.619140625, -0.65625, 0.06854248046875, -0.220458984375, 0.62060546875, -1.046875, 0.5322265625, 0.380859375, -0.284423828125, -0.51220703125, 0.464599609375, -0.2061767578125, 0.105712890625, -0.0301361083984375, 1.3330078125, -0.0413818359375, 1.140625, 0.1749267578125, -0.215087890625, 0.2218017578125, 0.105224609375, -0.278564453125, -1.029296875, -0.76220703125, -0.69775390625, 0.56103515625, -0.3779296875, -0.5380859375, 0.002002716064453125, 0.57080078125, -0.2421875, -0.98193359375, -0.1341552734375, 0.46728515625, -0.478515625, 0.7470703125, 0.3818359375, 0.406982421875, -0.075439453125, -0.08367919921875, -0.409423828125, -0.331787109375, 0.3359375, -0.53369140625, 0.55419921875, -0.6748046875, -0.46240234375, -0.25146484375, -0.53173828125, -0.3330078125, 0.1422119140625, -0.28759765625, -0.79638671875, 0.147216796875, 0.78662109375, 0.08056640625, 0.2177734375, -0.37548828125, 0.09869384765625, 1.494140625, 1.1083984375, -0.12237548828125, 0.79248046875, 0.05865478515625, -0.72314453125, 0.62158203125, -0.513671875, 0.546875, -0.33740234375, -0.18896484375, -0.623046875, 0.63525390625, -0.91748046875, -1.333984375, -0.00995635986328125, 0.54443359375, 0.47412109375, -1.1064453125, -0.90625, -0.326416015625, -1.1748046875, -0.548828125, -0.44091796875, 0.3759765625, 0.19677734375, -0.09722900390625, 0.1739501953125, -1.228515625, 4.3515625, 1.3408203125, 0.6669921875, 0.2666015625, 0.0927734375, 0.681640625, 0.80126953125, -0.0526123046875, -0.0034275054931640625, -0.58642578125, 0.51953125, -0.361083984375, 0.00647735595703125, 0.8251953125, 0.25146484375, 0.74658203125, -0.75048828125, 0.16015625, -0.1260986328125, -0.94287109375, -0.828125, 0.173095703125, 0.11181640625, 0.62744140625, 0.2431640625, 0.048248291015625, 0.459228515625, -0.350341796875, -0.396484375, -0.552734375, -0.134033203125, -0.5771484375, 0.83984375, -0.143310546875, -0.206787109375, 0.57763671875, 0.416259765625, -0.81591796875, -0.2113037109375, -0.07769775390625, -0.437744140625, -0.1270751953125, 0.58251953125, -0.51025390625, 0.65087890625, 0.69091796875, -0.171875, -0.08380126953125, 0.48046875, -0.92333984375, 1.064453125, -0.505859375, 0.64697265625, -1.076171875, -0.491455078125, 0.03326416015625, 0.008209228515625, -0.312744140625, -0.2452392578125, 0.37451171875, 0.6513671875, -0.12744140625, 0.203369140625, 0.49658203125, -1.0205078125, 0.66162109375, -0.2225341796875, 0.75732421875, -0.6142578125, -0.2626953125, -0.18408203125, -0.1341552734375, -0.10833740234375, -0.1405029296875, 0.8232421875, 0.120849609375, 0.09844970703125, 0.5146484375, 0.525390625, -1.029296875, 0.6005859375, 0.06622314453125, -0.26611328125, -0.55810546875, 0.5625, 0.9990234375, -0.391357421875, -0.73291015625, -0.496337890625, 0.66796875, 0.6298828125, 0.5673828125, 0.14453125, -0.402587890625, -0.525390625 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Beroffice text editor has a wide range of features that help working with text. One of the features is an automatic search for typos and suggestions of how to fix them. Beroffice works only with small English letters (i.e. with 26 letters from a to z). Beroffice thinks that a word is typed with a typo if there are three or more consonants in a row in the word. The only exception is that if the block of consonants has all letters the same, then this block (even if its length is greater than three) is not considered a typo. Formally, a word is typed with a typo if there is a block of not less that three consonants in a row, and there are at least two different letters in this block. For example: * the following words have typos: "hellno", "hackcerrs" and "backtothefutttture"; * the following words don't have typos: "helllllooooo", "tobeornottobe" and "oooooo". When Beroffice editor finds a word with a typo, it inserts as little as possible number of spaces in this word (dividing it into several words) in such a way that each of the resulting words is typed without any typos. Implement this feature of Beroffice editor. Consider the following letters as the only vowels: 'a', 'e', 'i', 'o' and 'u'. All the other letters are consonants in this problem. Input The only line contains a non-empty word consisting of small English letters. The length of the word is between 1 and 3000 letters. Output Print the given word without any changes if there are no typos. If there is at least one typo in the word, insert the minimum number of spaces into the word so that each of the resulting words doesn't have any typos. If there are multiple solutions, print any of them. Examples Input hellno Output hell no Input abacaba Output abacaba Input asdfasdf Output asd fasd f Tags: dp, greedy, implementation Correct Solution: ``` k = 0 t = y = z = '' for x in input(): k = 0 if x in 'aeiou' else k + 1 if k > 2 and not (x == y == z): t += ' ' k = 1 y, z = x, y t += x print(t) ```
8,091
[ 0.341796875, 0.1173095703125, 0.34326171875, 0.10858154296875, -0.541015625, -0.546875, 0.32763671875, 0.02777099609375, 0.2276611328125, 0.5341796875, 0.59033203125, -0.018218994140625, -0.136962890625, -0.75244140625, -0.599609375, -0.032623291015625, -0.572265625, -0.74560546875, -0.450927734375, -0.4521484375, 0.047943115234375, -0.3349609375, -1.3291015625, -0.158203125, -0.1202392578125, 1.1474609375, 0.09954833984375, -0.061309814453125, 1.185546875, 1.009765625, -0.127197265625, -0.178466796875, 0.169189453125, -0.83740234375, -0.470947265625, -0.2027587890625, 0.82470703125, -0.64111328125, -0.1756591796875, -0.40869140625, 0.474609375, -0.52294921875, 0.328369140625, -0.91455078125, -1.2314453125, -0.33154296875, -0.36376953125, -0.4658203125, 0.18505859375, -0.1937255859375, 0.157470703125, -0.01678466796875, 0.421875, -0.07904052734375, -0.450439453125, -0.217529296875, 0.01447296142578125, -0.01244354248046875, -0.7255859375, 0.33251953125, 0.2890625, 0.71240234375, 0.06378173828125, -0.389892578125, -0.2171630859375, 0.53857421875, -0.1251220703125, -0.10247802734375, 0.1053466796875, -0.2042236328125, 0.00893402099609375, 0.202392578125, -0.238037109375, -0.748046875, -0.2352294921875, -0.357177734375, 0.53271484375, -0.448974609375, -0.265869140625, 0.82421875, 0.0611572265625, 1.1162109375, 0.5224609375, 0.2166748046875, -0.31201171875, -0.38916015625, 0.1876220703125, 0.460693359375, 0.1474609375, -0.27001953125, -0.05450439453125, 0.55029296875, -0.7265625, 0.1368408203125, 0.79931640625, 0.6259765625, -0.399658203125, 0.04046630859375, 0.1263427734375, 0.150634765625, 0.348876953125, 1.0419921875, -0.81982421875, 1.017578125, -0.448974609375, 0.250732421875, 0.283935546875, -0.05316162109375, -0.46240234375, 0.0008673667907714844, -0.435302734375, -0.180908203125, 0.328857421875, 0.4287109375, -0.36328125, 0.7958984375, -0.274658203125, -0.0238800048828125, -0.70703125, -0.26220703125, 0.0293426513671875, 0.438720703125, 0.256103515625, 0.2420654296875, -0.056243896484375, -0.1981201171875, -0.44287109375, 0.9091796875, -0.5322265625, -0.1993408203125, 0.40283203125, -0.1641845703125, 0.0875244140625, 0.395751953125, -0.135009765625, 0.469970703125, -0.1375732421875, 0.62744140625, 0.424072265625, -0.93017578125, 0.97509765625, 0.00962066650390625, -0.14990234375, 1.2333984375, 0.491455078125, 0.357666015625, 0.798828125, 0.099609375, -0.80322265625, 0.57568359375, -0.77978515625, 1.0068359375, 0.03253173828125, 0.421875, -0.3642578125, 0.60888671875, -0.192626953125, 0.11724853515625, 0.720703125, -0.0262298583984375, -0.466796875, 0.1668701171875, -0.3212890625, 0.78173828125, -0.74462890625, 0.70751953125, -0.44580078125, -0.25732421875, 0.2314453125, -0.6025390625, 0.08099365234375, -0.346435546875, -0.2568359375, 0.459228515625, 0.436279296875, 1.0166015625, 0.92724609375, -0.165771484375, -0.1949462890625, -0.05389404296875, -0.3837890625, 0.52978515625, 0.2198486328125, 0.318115234375, 0.316162109375, 0.224365234375, 0.299072265625, -0.054901123046875, -1.0078125, -0.58740234375, 0.1361083984375, 0.82421875, -0.7470703125, 0.19384765625, 0.286376953125, 0.034912109375, -1.0146484375, -0.048858642578125, 0.148681640625, -0.7958984375, -0.432861328125, 0.5009765625, -0.205078125, 0.28955078125, -0.170654296875, -0.5595703125, 0.1470947265625, 1.0419921875, -0.302734375, 0.041107177734375, 0.517578125, 0.02264404296875, -0.2705078125, 0.283935546875, 0.1370849609375, -0.252197265625, -0.55517578125, 0.73046875, -0.194580078125, 0.032958984375, 0.3330078125, 0.50537109375, 0.59814453125, 0.7490234375, -0.078125, -0.292724609375, 0.50439453125, 1.208984375, -0.10284423828125, 0.486083984375, -0.214599609375, 0.697265625, 0.33984375, 0.62548828125, 0.54833984375, 0.03326416015625, 0.89599609375, 0.97021484375, -0.032470703125, 0.1673583984375, -0.377685546875, 0.1988525390625, 0.07489013671875, 1.09765625, -0.070068359375, 0.72314453125, 0.1685791015625, -0.2266845703125, -0.412353515625, 0.2705078125, -0.1888427734375, 1.208984375, 0.0870361328125, 0.87109375, -0.88818359375, -0.77001953125, 0.357177734375, 1.0859375, -1.0478515625, -0.54150390625, 0.018585205078125, 0.02862548828125, 0.152587890625, 0.02154541015625, 0.6982421875, 0.40087890625, 0.1910400390625, 0.63330078125, -0.406005859375, -0.338623046875, -0.80517578125, -0.45947265625, -1.0908203125, -0.41748046875, -0.62939453125, 0.043731689453125, 0.302734375, -0.93798828125, 0.58740234375, -0.3115234375, -0.4326171875, 0.400390625, -0.69970703125, 0.52294921875, -0.51953125, 1.01953125, -0.51953125, 0.466064453125, 0.7763671875, 1.1142578125, -0.42919921875, -0.38720703125, -0.447265625, -0.69580078125, 0.76611328125, 0.347900390625, 0.28515625, 0.79638671875, -0.80029296875, -0.830078125, 0.01513671875, -0.35498046875, -0.233154296875, 0.04193115234375, -0.5458984375, 0.90966796875, 0.448974609375, -0.2900390625, 0.7197265625, 0.93310546875, -0.77734375, 0.2366943359375, 0.0703125, 0.044921875, -0.88818359375, 0.9345703125, 0.5, 0.044677734375, -0.60546875, -0.229248046875, -0.46240234375, 0.04486083984375, 0.148193359375, -0.71142578125, -0.2392578125, 0.403076171875, 0.40380859375, -1.2822265625, 0.28662109375, -1.0537109375, -0.58251953125, -0.76025390625, -0.2225341796875, 1.322265625, 0.91845703125, 0.0836181640625, 0.1378173828125, -0.126220703125, -0.3271484375, 0.91162109375, 0.425537109375, -0.44970703125, 0.205322265625, 0.94287109375, -0.028594970703125, -0.0875244140625, 0.45654296875, -0.444091796875, -0.22802734375, 0.100830078125, 0.398681640625, 0.81982421875, -0.0305633544921875, 0.489990234375, 0.174072265625, 0.68994140625, -0.361572265625, -0.1953125, -0.10321044921875, 1.04296875, 0.6689453125, 0.78564453125, 0.69677734375, -0.229736328125, -0.134521484375, -1.11328125, 0.857421875, 0.51904296875, 0.95947265625, -0.65625, 0.72119140625, 0.611328125, -0.78857421875, 0.296630859375, -0.4326171875, -0.3349609375, 1.0791015625, -0.1805419921875, 1.3134765625, -0.09014892578125, 0.01263427734375, -0.0947265625, -0.0172271728515625, 0.6396484375, 0.54248046875, 0.208251953125, -0.0931396484375, -0.49365234375, -0.1917724609375, -0.425048828125, -0.61474609375, -0.405517578125, 0.378662109375, -0.44677734375, -0.48388671875, -0.9384765625, 0.2025146484375, 0.791015625, 0.4853515625, -0.0202484130859375, 0.53271484375, 0.413330078125, 0.8798828125, 0.54638671875, -0.329833984375, 0.2763671875, -0.97607421875, 0.9365234375, -0.2744140625, -0.09912109375, -0.470458984375, -0.7236328125, -0.06689453125, 0.03167724609375, -0.0019350051879882812, -0.07861328125, -0.76513671875, 0.2159423828125, 0.273681640625, 0.6123046875, -0.7724609375, -0.1455078125, -0.432373046875, 0.2484130859375, -0.111083984375, -0.630859375, 0.53369140625, -0.67822265625, 0.49951171875, 0.253662109375, -0.2142333984375, -0.282958984375, -0.5732421875, -0.68994140625, -0.367919921875, 0.21630859375, 0.560546875, -0.0443115234375, 0.1719970703125, -0.77392578125, 0.440673828125, 0.270751953125, -0.72900390625, -0.2005615234375, -0.347900390625, 0.203857421875, 0.48486328125, 1.3310546875, -0.10919189453125, -0.68359375, 0.1217041015625, -1.1826171875, 0.64990234375, -0.5009765625, 0.2998046875, -0.473388671875, 0.037506103515625, 0.343994140625, 0.346923828125, -0.416748046875, -0.10882568359375, -0.1612548828125, 0.40283203125, -1.1845703125, -0.859375, 0.465576171875, -0.2890625, -0.234130859375, 0.6533203125, 0.20361328125, -0.537109375, 0.2890625, 0.55810546875, -0.18603515625, 0.299072265625, -0.8173828125, 0.29150390625, -0.398681640625, -0.82861328125, 0.05615234375, -0.49072265625, 0.55517578125, 0.281494140625, -0.8798828125, -0.364501953125, -1.109375, -0.040252685546875, -0.1943359375, -0.646484375, 0.99658203125, -0.0033588409423828125, 0.2401123046875, -0.1688232421875, -0.75390625, -0.64404296875, -0.303466796875, -0.64404296875, 0.016021728515625, 0.2177734375, 0.568359375, 0.71923828125, 0.0767822265625, -0.53564453125, -0.494140625, -0.3505859375, -0.366943359375, -0.296142578125, -0.47802734375, -0.2042236328125, -0.295166015625, -0.64208984375, 0.1904296875, 0.052734375, 0.292236328125, 0.9189453125, 0.0623779296875, 0.227294921875, -0.07757568359375, -0.72412109375, 0.75732421875, 0.1590576171875, -0.98583984375, -0.8486328125, 0.58251953125, -0.11419677734375, 1.0185546875, 0.267333984375, -0.74365234375, -0.7890625, -1.0498046875, 0.02020263671875, -0.59765625, -0.291015625, -0.92431640625, -0.65283203125, -0.31884765625, 0.281494140625, 0.1318359375, -0.305908203125, 0.11199951171875, -0.9736328125, -0.2137451171875, -0.299560546875, -0.61865234375, -0.65380859375, -0.630859375, -0.2032470703125, 1.01171875, 0.21240234375, 0.2841796875, -0.48828125, -0.23583984375, 0.418212890625, -0.161376953125, -0.59765625, -0.483154296875, -0.1195068359375, 0.0274658203125, -0.0865478515625, -0.06414794921875, -0.75927734375, 0.87548828125, -0.9755859375, 0.08941650390625, -0.2734375, -0.31591796875, -0.1602783203125, -0.308837890625, 0.77587890625, -0.137451171875, -0.269287109375, -0.273193359375, 0.50830078125, 0.224853515625, 0.2410888671875, -0.46240234375, -0.6494140625, -0.39453125, -0.74462890625, 0.024993896484375, -0.64111328125, 0.41064453125, -0.056793212890625, -0.08489990234375, 1.21875, -0.275390625, 0.3330078125, 1.376953125, -0.04498291015625, 0.0183868408203125, -0.496337890625, 0.75927734375, 0.279541015625, -0.7177734375, -0.1290283203125, 0.1602783203125, -0.6337890625, 0.2174072265625, -0.09124755859375, -0.8505859375, -0.70166015625, 0.54052734375, 1.3349609375, -0.051025390625, 1.0888671875, -0.0653076171875, -0.8603515625, -0.8115234375, 0.72705078125, 0.284912109375, 0.3212890625, 0.9306640625, -0.1715087890625, -0.2288818359375, 0.06768798828125, -0.2064208984375, -0.22314453125, -0.44677734375, 0.97265625, -0.0386962890625, -0.998046875, 0.412109375, 1.21484375, -1.2490234375, -1.0283203125, 0.1090087890625, 0.427978515625, -0.254638671875, -0.50732421875, 0.30126953125, 0.4736328125, -0.453125, 0.3740234375, 0.401611328125, -0.2236328125, 0.29443359375, 0.2020263671875, 0.33642578125, -0.33837890625, 0.359130859375, 0.95556640625, -0.64013671875, -0.496337890625, -0.6025390625, 0.310546875, -0.42578125, -0.1207275390625, 0.6904296875, 0.09423828125, 0.195068359375, 0.70263671875, -0.546875, 0.90869140625, -0.853515625, -0.484375, 0.0765380859375, -0.62451171875, -0.99755859375, -0.220703125, 0.52783203125, -0.0723876953125, -0.22412109375, -0.720703125, -0.1917724609375, 0.2216796875, 0.2744140625, -0.47021484375, -0.79248046875, -0.2132568359375, -0.98583984375, -0.2509765625, -0.213134765625, -0.5810546875, -0.296142578125, 0.1845703125, 0.3642578125, -0.3720703125, -0.01262664794921875, -0.041748046875, -0.65478515625, 1.1240234375, -0.450927734375, 0.228515625, -0.393798828125, -0.64013671875, -0.96337890625, 0.1436767578125, -0.58056640625, -0.31396484375, -0.91748046875, 0.286376953125, 0.35986328125, 0.386962890625, 0.10833740234375, 0.42626953125, -0.299072265625, -0.338134765625, 0.0306243896484375, 0.159912109375, -0.10723876953125, 0.7197265625, 0.36767578125, -0.09210205078125, 0.472412109375, -0.2093505859375, -0.63525390625, -0.406982421875, 0.29541015625, 0.33447265625, -0.318115234375, -0.4326171875, -0.12353515625, 0.220458984375, -0.88671875, 0.229248046875, -0.487548828125, -0.156982421875, -0.2568359375, -0.5166015625, 0.32373046875, 0.8798828125, 0.11419677734375, 0.39453125, -0.00638580322265625, 0.07574462890625, 0.52001953125, 0.184814453125, 0.363525390625, 0.0235443115234375, 0.1737060546875, -0.4052734375, 0.073486328125, 0.5537109375, 0.254638671875, 0.395751953125, -0.39111328125, -0.50537109375, -0.97314453125, 0.017303466796875, -0.02508544921875, 0.277099609375, 0.25634765625, -0.63623046875, -0.340087890625, 0.2685546875, -0.5859375, 0.70556640625, -0.7314453125, -0.6796875, 0.5146484375, -0.1982421875, -0.79345703125, -0.31005859375, -0.5849609375, 0.06329345703125, 0.1177978515625, 0.2017822265625, -0.367431640625, 0.4453125, 0.0618896484375, 0.327392578125, -0.38427734375, 0.169189453125, 0.1248779296875, 0.287109375, -0.6787109375, -0.179443359375, 0.4609375, 1.1396484375, 0.43701171875, -0.1904296875, -0.736328125, 0.3916015625, -0.03839111328125, -0.119873046875, -0.34130859375, 0.25634765625, -0.421630859375, 0.8701171875, -0.798828125, 0.07373046875, -0.0914306640625, 0.59619140625, 0.33056640625, -0.350341796875, -0.279052734375, 0.62158203125, 0.5693359375, -0.022735595703125, 0.2498779296875, 0.291015625, 0.31787109375, -0.40185546875, 0.0826416015625, -0.350830078125, 0.92724609375, 0.179931640625, 0.41552734375, -0.1898193359375, 0.53076171875, 0.6728515625, -0.061279296875, -0.3740234375, 1.16796875, -0.08367919921875, 0.031341552734375, 0.1417236328125, -0.2105712890625, -0.1746826171875, -0.39501953125, -0.6689453125, 0.257568359375, -0.276611328125, -0.1817626953125, -0.26220703125, -0.900390625, 0.99365234375, -0.167724609375, -0.337158203125, -0.141357421875, -0.501953125, 0.1163330078125, 0.92431640625, 0.1246337890625, 0.0184783935546875, 0.5048828125, 0.361572265625, 0.2044677734375, 0.6865234375, 0.4404296875, 0.3330078125, -0.58544921875, 0.673828125, -0.2724609375, -0.0005507469177246094, -0.2337646484375, -0.3193359375, -0.89208984375, -0.06732177734375, -0.363525390625, 0.00897216796875, 0.5947265625, -0.67919921875, 0.109375, -0.2288818359375, 0.5830078125, -0.966796875, 0.4755859375, 0.36865234375, -0.2034912109375, -0.51318359375, 0.488525390625, -0.14404296875, 0.073974609375, -0.00733184814453125, 1.392578125, -0.0137481689453125, 1.119140625, 0.213134765625, -0.177978515625, 0.24169921875, 0.1007080078125, -0.272216796875, -1.0458984375, -0.7958984375, -0.7109375, 0.568359375, -0.365966796875, -0.59033203125, -0.03741455078125, 0.5986328125, -0.2841796875, -1.0107421875, -0.1798095703125, 0.426513671875, -0.441650390625, 0.732421875, 0.4375, 0.383056640625, -0.09820556640625, -0.1031494140625, -0.379638671875, -0.29345703125, 0.384033203125, -0.5234375, 0.515625, -0.69677734375, -0.45947265625, -0.2462158203125, -0.533203125, -0.40185546875, 0.17822265625, -0.281494140625, -0.7822265625, 0.1719970703125, 0.765625, 0.0841064453125, 0.2318115234375, -0.428466796875, 0.1209716796875, 1.4921875, 1.1640625, -0.11907958984375, 0.833984375, 0.034393310546875, -0.79248046875, 0.62744140625, -0.5556640625, 0.55859375, -0.36474609375, -0.231201171875, -0.5810546875, 0.64306640625, -0.9296875, -1.3017578125, 0.0202484130859375, 0.58154296875, 0.457763671875, -1.1025390625, -0.97705078125, -0.26123046875, -1.216796875, -0.54638671875, -0.475830078125, 0.39111328125, 0.1663818359375, -0.10491943359375, 0.14208984375, -1.2197265625, 4.33203125, 1.3427734375, 0.6669921875, 0.2366943359375, 0.10107421875, 0.67431640625, 0.81494140625, -0.08233642578125, 0.0186614990234375, -0.59375, 0.56591796875, -0.4091796875, -0.0110626220703125, 0.79052734375, 0.2454833984375, 0.7431640625, -0.7763671875, 0.1964111328125, -0.1220703125, -0.94287109375, -0.841796875, 0.1976318359375, 0.1182861328125, 0.5791015625, 0.184814453125, 0.11407470703125, 0.456787109375, -0.446044921875, -0.421630859375, -0.578125, -0.10028076171875, -0.61083984375, 0.8369140625, -0.1298828125, -0.228515625, 0.568359375, 0.407470703125, -0.85986328125, -0.238037109375, -0.0594482421875, -0.45556640625, -0.10504150390625, 0.54248046875, -0.505859375, 0.67919921875, 0.69189453125, -0.15625, -0.06964111328125, 0.513671875, -0.951171875, 1.046875, -0.46728515625, 0.63232421875, -1.09765625, -0.521484375, 0.0033721923828125, -0.017822265625, -0.302490234375, -0.2283935546875, 0.3701171875, 0.58984375, -0.1376953125, 0.15234375, 0.52783203125, -1.0263671875, 0.66552734375, -0.195556640625, 0.69873046875, -0.62548828125, -0.296630859375, -0.1630859375, -0.185546875, -0.13720703125, -0.1392822265625, 0.79345703125, 0.1363525390625, 0.09735107421875, 0.51416015625, 0.54638671875, -0.9970703125, 0.583984375, 0.04327392578125, -0.324951171875, -0.5380859375, 0.53857421875, 1.0078125, -0.395263671875, -0.71435546875, -0.57666015625, 0.65283203125, 0.55517578125, 0.5478515625, 0.1387939453125, -0.38916015625, -0.55517578125 ]
6
Provide tags and a correct Python 3 solution for this coding contest problem. Beroffice text editor has a wide range of features that help working with text. One of the features is an automatic search for typos and suggestions of how to fix them. Beroffice works only with small English letters (i.e. with 26 letters from a to z). Beroffice thinks that a word is typed with a typo if there are three or more consonants in a row in the word. The only exception is that if the block of consonants has all letters the same, then this block (even if its length is greater than three) is not considered a typo. Formally, a word is typed with a typo if there is a block of not less that three consonants in a row, and there are at least two different letters in this block. For example: * the following words have typos: "hellno", "hackcerrs" and "backtothefutttture"; * the following words don't have typos: "helllllooooo", "tobeornottobe" and "oooooo". When Beroffice editor finds a word with a typo, it inserts as little as possible number of spaces in this word (dividing it into several words) in such a way that each of the resulting words is typed without any typos. Implement this feature of Beroffice editor. Consider the following letters as the only vowels: 'a', 'e', 'i', 'o' and 'u'. All the other letters are consonants in this problem. Input The only line contains a non-empty word consisting of small English letters. The length of the word is between 1 and 3000 letters. Output Print the given word without any changes if there are no typos. If there is at least one typo in the word, insert the minimum number of spaces into the word so that each of the resulting words doesn't have any typos. If there are multiple solutions, print any of them. Examples Input hellno Output hell no Input abacaba Output abacaba Input asdfasdf Output asd fasd f Tags: dp, greedy, implementation Correct Solution: ``` n = input() l = 0 q = len(n) sogl = ['q', 'w', 'r', 't', 'y', 'p', 's', 'd', 'f', 'g', 'h', 'j', 'k', 'l', 'z', 'x', 'c', 'v', 'b', 'n', 'm'] for i in range(1, len(n) - 1): if (((n[i - 1] != n[i + 1]) or ((n[i] != n[i - 1]) and (n[i-1] == n[i + 1]))) and (n[i - 1] in sogl) and (n[i] in sogl) and (n[i + 1] in sogl)): print (n[l:i + 1:1], end=" ") l = i + 1 n = n[0:i] + 'a' + n[i + 1:q] print (n[l:len(n):1]) ```
8,092
[ 0.31884765625, 0.09088134765625, 0.317138671875, 0.142333984375, -0.517578125, -0.55078125, 0.311767578125, 0.046600341796875, 0.2215576171875, 0.5341796875, 0.61669921875, -0.0309295654296875, -0.152587890625, -0.78564453125, -0.57763671875, -0.03472900390625, -0.57373046875, -0.7314453125, -0.424560546875, -0.465576171875, 0.044525146484375, -0.3037109375, -1.3134765625, -0.1488037109375, -0.12005615234375, 1.1533203125, 0.08978271484375, -0.0655517578125, 1.2158203125, 0.97021484375, -0.12078857421875, -0.2061767578125, 0.184326171875, -0.84423828125, -0.454833984375, -0.1912841796875, 0.8349609375, -0.669921875, -0.16748046875, -0.40087890625, 0.48291015625, -0.5537109375, 0.34716796875, -0.892578125, -1.2490234375, -0.36083984375, -0.3427734375, -0.481689453125, 0.1790771484375, -0.2298583984375, 0.14501953125, 0.00858306884765625, 0.412353515625, -0.1219482421875, -0.455810546875, -0.25634765625, 0.0172119140625, -0.002681732177734375, -0.7099609375, 0.330810546875, 0.313720703125, 0.736328125, 0.08563232421875, -0.386474609375, -0.2230224609375, 0.54931640625, -0.1185302734375, -0.07379150390625, 0.13330078125, -0.2047119140625, -0.0020236968994140625, 0.20361328125, -0.23828125, -0.75, -0.21923828125, -0.350341796875, 0.54345703125, -0.465087890625, -0.266357421875, 0.82568359375, 0.072021484375, 1.109375, 0.505859375, 0.19189453125, -0.318359375, -0.37353515625, 0.211181640625, 0.479736328125, 0.147705078125, -0.23974609375, -0.06671142578125, 0.552734375, -0.7138671875, 0.12408447265625, 0.8017578125, 0.64501953125, -0.417724609375, 0.04461669921875, 0.130615234375, 0.151123046875, 0.326416015625, 1.05078125, -0.84375, 1.0078125, -0.42578125, 0.265625, 0.28955078125, -0.08856201171875, -0.473876953125, 0.01116943359375, -0.455810546875, -0.18115234375, 0.319091796875, 0.393798828125, -0.35546875, 0.80078125, -0.277587890625, -0.0099639892578125, -0.7021484375, -0.24951171875, 0.0123291015625, 0.46240234375, 0.259765625, 0.2210693359375, -0.07684326171875, -0.226318359375, -0.460693359375, 0.9091796875, -0.54443359375, -0.2196044921875, 0.393310546875, -0.161865234375, 0.07366943359375, 0.42431640625, -0.1229248046875, 0.454833984375, -0.1297607421875, 0.60546875, 0.41259765625, -0.921875, 0.98486328125, 0.0008096694946289062, -0.146728515625, 1.2294921875, 0.50146484375, 0.347412109375, 0.8125, 0.1138916015625, -0.8310546875, 0.60546875, -0.7890625, 0.978515625, 0.0439453125, 0.391845703125, -0.357177734375, 0.609375, -0.1767578125, 0.1453857421875, 0.77001953125, -0.0191497802734375, -0.455810546875, 0.171142578125, -0.343994140625, 0.75927734375, -0.755859375, 0.67138671875, -0.432861328125, -0.27490234375, 0.250244140625, -0.58056640625, 0.055389404296875, -0.370361328125, -0.228515625, 0.44287109375, 0.427978515625, 0.99951171875, 0.89892578125, -0.164306640625, -0.169189453125, -0.04339599609375, -0.3740234375, 0.51318359375, 0.20556640625, 0.315185546875, 0.3251953125, 0.2220458984375, 0.267333984375, -0.084716796875, -0.98779296875, -0.5869140625, 0.1412353515625, 0.85107421875, -0.70751953125, 0.172119140625, 0.283203125, 0.0208282470703125, -1.0078125, -0.06817626953125, 0.1405029296875, -0.775390625, -0.4345703125, 0.490234375, -0.1949462890625, 0.273681640625, -0.17431640625, -0.556640625, 0.1435546875, 1.021484375, -0.298583984375, 0.03936767578125, 0.5517578125, -0.0113067626953125, -0.245849609375, 0.294189453125, 0.1639404296875, -0.2427978515625, -0.56884765625, 0.7060546875, -0.1856689453125, 0.027923583984375, 0.29345703125, 0.488037109375, 0.5947265625, 0.7568359375, -0.04827880859375, -0.29248046875, 0.513671875, 1.181640625, -0.11187744140625, 0.448486328125, -0.18994140625, 0.64599609375, 0.35205078125, 0.57080078125, 0.55859375, 0.04852294921875, 0.8544921875, 0.96435546875, -0.018798828125, 0.16650390625, -0.372802734375, 0.2177734375, 0.0523681640625, 1.0986328125, -0.07122802734375, 0.74609375, 0.156005859375, -0.2213134765625, -0.391357421875, 0.275634765625, -0.1746826171875, 1.193359375, 0.07806396484375, 0.8701171875, -0.86328125, -0.7412109375, 0.33056640625, 1.06640625, -1.0458984375, -0.5712890625, 0.03814697265625, 0.0312042236328125, 0.15087890625, 0.0279388427734375, 0.71484375, 0.365966796875, 0.19384765625, 0.64453125, -0.386474609375, -0.3349609375, -0.79345703125, -0.486328125, -1.0859375, -0.4208984375, -0.64404296875, 0.05914306640625, 0.318115234375, -0.95263671875, 0.59619140625, -0.30322265625, -0.431396484375, 0.404052734375, -0.7158203125, 0.53662109375, -0.5400390625, 0.99169921875, -0.51806640625, 0.461669921875, 0.75244140625, 1.1181640625, -0.376220703125, -0.387939453125, -0.42822265625, -0.66943359375, 0.7783203125, 0.37060546875, 0.28759765625, 0.79931640625, -0.78662109375, -0.85009765625, 0.0157470703125, -0.34912109375, -0.2276611328125, 0.0487060546875, -0.55322265625, 0.931640625, 0.46484375, -0.279296875, 0.74609375, 0.93212890625, -0.76708984375, 0.2349853515625, 0.08447265625, 0.05657958984375, -0.8642578125, 0.95654296875, 0.51171875, 0.059051513671875, -0.59521484375, -0.20849609375, -0.45751953125, 0.050262451171875, 0.1505126953125, -0.7197265625, -0.239501953125, 0.39794921875, 0.40185546875, -1.2626953125, 0.280029296875, -1.05078125, -0.60693359375, -0.78271484375, -0.22216796875, 1.29296875, 0.90185546875, 0.11187744140625, 0.08734130859375, -0.12274169921875, -0.319580078125, 0.91064453125, 0.42724609375, -0.44189453125, 0.20751953125, 0.9443359375, -0.01190185546875, -0.0712890625, 0.457763671875, -0.427490234375, -0.209716796875, 0.114990234375, 0.38623046875, 0.826171875, -0.04058837890625, 0.474853515625, 0.1649169921875, 0.69482421875, -0.350830078125, -0.21337890625, -0.135009765625, 1.0380859375, 0.6787109375, 0.75341796875, 0.6904296875, -0.242431640625, -0.1162109375, -1.142578125, 0.85546875, 0.51611328125, 0.99072265625, -0.63916015625, 0.72412109375, 0.607421875, -0.7919921875, 0.260986328125, -0.456787109375, -0.31982421875, 1.0830078125, -0.196044921875, 1.3125, -0.06500244140625, 0.0119781494140625, -0.09954833984375, -0.006122589111328125, 0.63623046875, 0.60400390625, 0.1815185546875, -0.1005859375, -0.478515625, -0.1700439453125, -0.3974609375, -0.59619140625, -0.40771484375, 0.388427734375, -0.441650390625, -0.478515625, -0.92431640625, 0.1697998046875, 0.8232421875, 0.4775390625, -0.006938934326171875, 0.5341796875, 0.438720703125, 0.83251953125, 0.5390625, -0.364501953125, 0.26220703125, -0.99462890625, 0.95556640625, -0.275634765625, -0.091552734375, -0.4462890625, -0.73095703125, -0.08819580078125, 0.06451416015625, -0.065185546875, -0.040618896484375, -0.79150390625, 0.212158203125, 0.272705078125, 0.59765625, -0.7998046875, -0.1328125, -0.44091796875, 0.262451171875, -0.147216796875, -0.615234375, 0.53271484375, -0.6982421875, 0.49267578125, 0.2646484375, -0.1962890625, -0.286376953125, -0.59912109375, -0.6953125, -0.341064453125, 0.21923828125, 0.51220703125, -0.05511474609375, 0.1707763671875, -0.77001953125, 0.475341796875, 0.267333984375, -0.72265625, -0.206787109375, -0.3701171875, 0.206298828125, 0.47265625, 1.3095703125, -0.1197509765625, -0.69287109375, 0.145751953125, -1.1357421875, 0.6484375, -0.5048828125, 0.309814453125, -0.477294921875, 0.016845703125, 0.3701171875, 0.330810546875, -0.430419921875, -0.08941650390625, -0.198486328125, 0.399658203125, -1.169921875, -0.87109375, 0.48046875, -0.315673828125, -0.232177734375, 0.6328125, 0.2294921875, -0.54052734375, 0.2626953125, 0.53857421875, -0.177490234375, 0.302734375, -0.7978515625, 0.283447265625, -0.402099609375, -0.8359375, 0.05194091796875, -0.483154296875, 0.57861328125, 0.286865234375, -0.84619140625, -0.337890625, -1.1123046875, -0.059539794921875, -0.1884765625, -0.6484375, 0.98779296875, -0.0251617431640625, 0.2142333984375, -0.1549072265625, -0.76416015625, -0.61962890625, -0.3193359375, -0.60546875, -0.0018110275268554688, 0.201416015625, 0.5439453125, 0.74853515625, 0.053985595703125, -0.5439453125, -0.50146484375, -0.321533203125, -0.37548828125, -0.285888671875, -0.49951171875, -0.2037353515625, -0.2978515625, -0.62841796875, 0.1827392578125, 0.021942138671875, 0.27587890625, 0.9189453125, 0.0538330078125, 0.219970703125, -0.099853515625, -0.7236328125, 0.75, 0.156982421875, -0.9951171875, -0.8583984375, 0.5693359375, -0.1109619140625, 1.009765625, 0.229736328125, -0.74365234375, -0.7978515625, -1.064453125, 0.032867431640625, -0.583984375, -0.28662109375, -0.92333984375, -0.61962890625, -0.28759765625, 0.25830078125, 0.1275634765625, -0.265869140625, 0.1451416015625, -0.94091796875, -0.206298828125, -0.2685546875, -0.62890625, -0.646484375, -0.6376953125, -0.2064208984375, 1.0146484375, 0.2279052734375, 0.280517578125, -0.44482421875, -0.254638671875, 0.3955078125, -0.1610107421875, -0.5849609375, -0.447998046875, -0.150390625, 0.03582763671875, -0.0679931640625, -0.0810546875, -0.7744140625, 0.86962890625, -0.98974609375, 0.0751953125, -0.2327880859375, -0.347412109375, -0.126708984375, -0.31005859375, 0.775390625, -0.150634765625, -0.283935546875, -0.265869140625, 0.54150390625, 0.212158203125, 0.2454833984375, -0.47265625, -0.60498046875, -0.3974609375, -0.75927734375, 0.00958251953125, -0.6484375, 0.442138671875, -0.049163818359375, -0.07977294921875, 1.22265625, -0.2734375, 0.322265625, 1.3603515625, -0.06536865234375, 0.028564453125, -0.49853515625, 0.73046875, 0.285400390625, -0.7158203125, -0.1376953125, 0.1282958984375, -0.64697265625, 0.2178955078125, -0.09490966796875, -0.8564453125, -0.7001953125, 0.55029296875, 1.33203125, -0.051422119140625, 1.0712890625, -0.04638671875, -0.845703125, -0.818359375, 0.73681640625, 0.27978515625, 0.327880859375, 0.90478515625, -0.1859130859375, -0.260498046875, 0.0938720703125, -0.1983642578125, -0.2093505859375, -0.447021484375, 0.951171875, -0.07879638671875, -1.0224609375, 0.40625, 1.2158203125, -1.2412109375, -0.98388671875, 0.08062744140625, 0.456787109375, -0.26953125, -0.5009765625, 0.30615234375, 0.489990234375, -0.462646484375, 0.365234375, 0.40869140625, -0.2047119140625, 0.318603515625, 0.20703125, 0.3017578125, -0.32080078125, 0.35595703125, 0.9609375, -0.658203125, -0.51318359375, -0.58203125, 0.325439453125, -0.43017578125, -0.11480712890625, 0.67822265625, 0.0904541015625, 0.2303466796875, 0.708984375, -0.51220703125, 0.91162109375, -0.85009765625, -0.487548828125, 0.08880615234375, -0.61767578125, -1.00390625, -0.2073974609375, 0.54248046875, -0.08050537109375, -0.209716796875, -0.72314453125, -0.1842041015625, 0.2152099609375, 0.27392578125, -0.466064453125, -0.78125, -0.1962890625, -0.97900390625, -0.24609375, -0.203369140625, -0.5859375, -0.295654296875, 0.226318359375, 0.39013671875, -0.37109375, -0.006656646728515625, -0.017333984375, -0.67431640625, 1.1259765625, -0.44091796875, 0.2177734375, -0.382080078125, -0.60546875, -0.97705078125, 0.158447265625, -0.56982421875, -0.339599609375, -0.93994140625, 0.29248046875, 0.35205078125, 0.38037109375, 0.11932373046875, 0.4287109375, -0.316650390625, -0.3203125, -0.0252685546875, 0.12261962890625, -0.07891845703125, 0.69140625, 0.364013671875, -0.10455322265625, 0.460693359375, -0.1661376953125, -0.67138671875, -0.3779296875, 0.272705078125, 0.32421875, -0.301025390625, -0.426025390625, -0.119384765625, 0.2313232421875, -0.880859375, 0.2646484375, -0.48974609375, -0.155029296875, -0.268798828125, -0.53466796875, 0.323974609375, 0.88330078125, 0.09716796875, 0.39111328125, 0.032135009765625, 0.07562255859375, 0.525390625, 0.17333984375, 0.389892578125, 0.0223236083984375, 0.1744384765625, -0.425537109375, 0.05389404296875, 0.52294921875, 0.278564453125, 0.394775390625, -0.37158203125, -0.51318359375, -0.96484375, 0.022857666015625, -0.0165863037109375, 0.303955078125, 0.25537109375, -0.62744140625, -0.31884765625, 0.27783203125, -0.59814453125, 0.669921875, -0.70263671875, -0.693359375, 0.5263671875, -0.210205078125, -0.8203125, -0.304931640625, -0.56103515625, 0.08984375, 0.122314453125, 0.2003173828125, -0.37890625, 0.4462890625, 0.0406494140625, 0.302490234375, -0.40478515625, 0.195068359375, 0.1470947265625, 0.290283203125, -0.6689453125, -0.15283203125, 0.469482421875, 1.1533203125, 0.444091796875, -0.20263671875, -0.71630859375, 0.363037109375, -0.07623291015625, -0.12286376953125, -0.356201171875, 0.2391357421875, -0.425048828125, 0.89599609375, -0.8193359375, 0.06689453125, -0.0826416015625, 0.560546875, 0.311767578125, -0.32470703125, -0.30810546875, 0.63330078125, 0.5380859375, -0.035858154296875, 0.2237548828125, 0.271728515625, 0.314208984375, -0.40771484375, 0.06707763671875, -0.37646484375, 0.88818359375, 0.19775390625, 0.418212890625, -0.2008056640625, 0.5185546875, 0.67529296875, -0.032135009765625, -0.3525390625, 1.1689453125, -0.056976318359375, 0.03814697265625, 0.13720703125, -0.231689453125, -0.1654052734375, -0.3759765625, -0.666015625, 0.264404296875, -0.249755859375, -0.1978759765625, -0.266845703125, -0.88720703125, 0.984375, -0.21875, -0.33837890625, -0.1719970703125, -0.5185546875, 0.1341552734375, 0.91552734375, 0.1593017578125, 0.0118255615234375, 0.505859375, 0.355224609375, 0.15234375, 0.66943359375, 0.4326171875, 0.3125, -0.55126953125, 0.70361328125, -0.26123046875, 0.0208740234375, -0.2349853515625, -0.3291015625, -0.86962890625, -0.0452880859375, -0.363525390625, 0.01303863525390625, 0.5908203125, -0.6572265625, 0.08209228515625, -0.202392578125, 0.5859375, -1.0283203125, 0.49267578125, 0.3779296875, -0.218017578125, -0.4931640625, 0.4716796875, -0.162109375, 0.07049560546875, -0.01371002197265625, 1.3583984375, -0.03973388671875, 1.15625, 0.1832275390625, -0.1949462890625, 0.2310791015625, 0.0986328125, -0.268310546875, -1.0419921875, -0.8203125, -0.7021484375, 0.60791015625, -0.398193359375, -0.5732421875, -0.006847381591796875, 0.57958984375, -0.2802734375, -0.98193359375, -0.16357421875, 0.45703125, -0.455078125, 0.71337890625, 0.411376953125, 0.38916015625, -0.11297607421875, -0.1102294921875, -0.379150390625, -0.319580078125, 0.37939453125, -0.51123046875, 0.5791015625, -0.66552734375, -0.447021484375, -0.23583984375, -0.5283203125, -0.40380859375, 0.1612548828125, -0.26220703125, -0.7734375, 0.1715087890625, 0.77490234375, 0.1026611328125, 0.2164306640625, -0.416015625, 0.1072998046875, 1.458984375, 1.138671875, -0.0914306640625, 0.8037109375, 0.060577392578125, -0.74853515625, 0.60595703125, -0.52734375, 0.54833984375, -0.356201171875, -0.21630859375, -0.6181640625, 0.6630859375, -0.90478515625, -1.2841796875, 0.00537872314453125, 0.560546875, 0.453857421875, -1.1171875, -0.990234375, -0.30615234375, -1.1982421875, -0.53466796875, -0.453857421875, 0.366943359375, 0.1910400390625, -0.1099853515625, 0.1873779296875, -1.2109375, 4.34765625, 1.341796875, 0.64013671875, 0.2108154296875, 0.09674072265625, 0.68701171875, 0.80908203125, -0.0994873046875, 0.0489501953125, -0.61572265625, 0.55029296875, -0.416748046875, 0.007076263427734375, 0.79638671875, 0.2276611328125, 0.76318359375, -0.78564453125, 0.1668701171875, -0.154052734375, -0.94189453125, -0.83056640625, 0.1956787109375, 0.10528564453125, 0.5849609375, 0.2198486328125, 0.08660888671875, 0.432373046875, -0.406982421875, -0.3994140625, -0.578125, -0.1453857421875, -0.61474609375, 0.830078125, -0.12432861328125, -0.2159423828125, 0.60888671875, 0.4384765625, -0.84326171875, -0.2093505859375, -0.08160400390625, -0.4423828125, -0.1114501953125, 0.55615234375, -0.5009765625, 0.6953125, 0.673828125, -0.141845703125, -0.0872802734375, 0.51416015625, -0.92724609375, 1.052734375, -0.490478515625, 0.62158203125, -1.095703125, -0.51611328125, 0.03350830078125, -0.0237274169921875, -0.319580078125, -0.232421875, 0.390380859375, 0.625, -0.1649169921875, 0.180419921875, 0.5263671875, -0.994140625, 0.65478515625, -0.16943359375, 0.6826171875, -0.5947265625, -0.29296875, -0.148681640625, -0.1871337890625, -0.14990234375, -0.1529541015625, 0.79931640625, 0.13916015625, 0.092529296875, 0.48681640625, 0.5869140625, -1.017578125, 0.5986328125, 0.0237579345703125, -0.330810546875, -0.5556640625, 0.5302734375, 0.990234375, -0.4345703125, -0.73583984375, -0.54736328125, 0.59912109375, 0.55517578125, 0.556640625, 0.1339111328125, -0.39794921875, -0.55322265625 ]
6