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stringlengths 6
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walk_300 | Chef and his girlfriend are going to have a promenade. They are walking along the straight road which consists of segments placed one by one. Before walking Chef and his girlfriend stay at the beginning of the first segment, they want to achieve the end of the last segment.
There are few problems:
At the beginning Chef should choose constant integer - the velocity of mooving. It can't be changed inside one segment.
The velocity should be decreased by at least 1 after achieving the end of some segment.
There is exactly one shop on each segment. Each shop has an attractiveness. If it's attractiveness is W and Chef and his girlfriend move with velocity V then if V < W girlfriend will run away into the shop and the promenade will become ruined.
Chef doesn't want to lose her girl in such a way, but he is an old one, so you should find the minimal possible velocity at the first segment to satisfy all conditions.
Input
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains a single integer N denoting the number of segments. The second line contains N space-separated integers W1, W2, ..., WN denoting the attractiveness of shops.
Output
For each test case, output a single line containing the minimal possible velocity at the beginning.
Constraints
1 ≤ T ≤ 10
1 ≤ N ≤ 10^5
1 ≤ Wi ≤ 10^6
Example
Input:
2
5
6 5 4 3 2
5
3 4 3 1 1
Output:
6
5
Explanation
Example case 1.
If we choose velocity 6, on the first step we have 6 ≥ 6 everything is OK, then we should decrease the velocity to 5 and on the 2nd segment we'll receive 5 ≥ 5, again OK, and so on.
Example case 2.
If we choose velocity 4, the promanade will be ruined on the 2nd step (we sould decrease our velocity, so the maximal possible will be 3 which is less than 4). | for _ in range(input()):
n= int(raw_input())
att = map(int,raw_input().split())
ans = []
for i in range(n):
ans.append(att[i]+i)
print max(ans) | 1Python2
| {
"input": [
"2\n5\n6 5 4 3 2\n5\n3 4 3 1 1",
"2\n5\n6 5 4 3 2\n5\n3 4 6 1 1",
"2\n5\n6 5 4 3 2\n5\n3 7 9 1 1",
"2\n5\n6 5 4 3 3\n5\n3 7 9 1 1",
"2\n5\n6 5 4 3 2\n5\n3 8 3 1 1",
"2\n5\n6 5 4 5 2\n5\n3 7 6 1 1",
"2\n5\n6 5 4 4 2\n5\n3 8 3 1 1",
"2\n5\n6 5 2 3 0\n5\n3 4 12 1 1",
"2\n5\n6 6 2 3 0\n5\n3 4 12 1 1",
"2\n5\n6 5 4 5 2\n5\n3 11 6 2 0",
"2\n5\n6 5 0 3 2\n5\n3 4 3 1 1",
"2\n5\n6 5 4 3 2\n5\n3 11 6 1 1",
"2\n5\n6 9 4 3 3\n5\n3 7 9 1 1",
"2\n5\n6 5 7 5 2\n5\n3 7 6 1 1",
"2\n5\n6 5 2 6 0\n5\n3 4 12 1 1",
"2\n5\n6 8 4 5 2\n5\n3 11 6 2 0",
"2\n5\n6 11 1 4 -1\n5\n3 4 12 1 1",
"2\n5\n6 7 0 3 2\n5\n3 4 3 1 1",
"2\n5\n6 10 2 3 0\n5\n3 4 6 1 2",
"2\n5\n6 8 4 5 2\n5\n3 15 6 2 0",
"2\n5\n6 5 7 3 2\n5\n0 8 3 1 1",
"2\n5\n6 11 4 5 2\n5\n3 15 6 2 0",
"2\n5\n6 1 1 4 0\n5\n3 4 22 1 2",
"2\n5\n6 11 1 4 -1\n5\n3 4 10 0 1",
"2\n5\n6 1 4 3 3\n5\n0 7 5 1 1",
"2\n5\n6 9 3 3 1\n5\n3 4 6 1 0",
"2\n5\n6 5 4 2 2\n5\n3 7 23 2 0",
"2\n5\n6 11 4 5 2\n5\n3 24 6 2 0",
"2\n5\n6 11 1 4 -1\n5\n3 4 8 0 1",
"2\n5\n4 9 4 3 1\n5\n3 11 6 1 1",
"2\n5\n6 9 3 3 1\n5\n3 4 1 1 0",
"2\n5\n6 11 4 5 2\n5\n3 45 6 2 0",
"2\n5\n1 5 5 3 2\n5\n3 14 9 -1 1",
"2\n5\n6 14 7 5 2\n5\n3 45 1 2 1",
"2\n5\n6 3 1 6 1\n5\n6 8 11 0 0",
"2\n5\n6 4 0 2 4\n5\n1 8 1 4 2",
"2\n5\n12 3 1 6 1\n5\n3 8 11 0 0",
"2\n5\n6 5 4 3 2\n5\n3 7 18 1 1",
"2\n5\n6 5 6 2 2\n5\n3 7 9 1 1",
"2\n5\n11 5 4 4 2\n5\n3 8 3 1 1",
"2\n5\n6 6 2 3 0\n5\n3 4 3 1 1",
"2\n5\n6 6 2 4 0\n5\n3 4 16 1 1",
"2\n5\n6 5 0 3 2\n5\n3 6 3 1 1",
"2\n5\n0 10 5 3 2\n5\n3 7 9 1 1",
"2\n5\n6 9 4 3 3\n5\n0 7 12 1 1",
"2\n5\n8 5 2 8 0\n5\n3 4 12 1 1",
"2\n5\n6 8 4 7 2\n5\n3 15 6 2 0",
"2\n5\n6 20 1 4 -1\n5\n3 4 12 0 1",
"2\n5\n6 1 1 3 0\n5\n3 4 22 1 2",
"2\n5\n6 5 1 4 2\n5\n0 7 23 2 0",
"2\n5\n1 5 5 6 2\n5\n3 4 9 -1 1",
"2\n5\n6 5 4 7 1\n5\n2 8 5 1 1",
"2\n5\n6 3 7 5 2\n5\n3 45 1 2 1",
"2\n5\n6 1 4 2 2\n5\n22 0 6 1 1",
"2\n5\n6 2 0 3 1\n5\n0 1 15 1 1",
"2\n5\n6 2 0 3 1\n5\n0 1 16 2 1",
"2\n5\n12 0 0 2 4\n5\n0 8 1 4 0",
"2\n5\n4 6 1 4 0\n5\n3 4 8 1 2",
"2\n5\n6 2 0 5 0\n5\n3 6 14 1 2",
"2\n5\n6 1 1 3 0\n5\n3 4 21 1 2",
"2\n5\n6 9 3 5 1\n5\n6 4 1 1 0",
"2\n5\n1 5 4 6 1\n5\n1 14 3 1 0",
"2\n5\n6 8 1 2 2\n5\n0 4 1 1 1",
"2\n5\n6 6 2 3 1\n5\n3 15 12 0 8",
"2\n5\n11 11 1 4 -1\n5\n6 4 15 0 1",
"2\n5\n7 2 0 3 1\n5\n3 11 6 1 1",
"2\n5\n1 0 5 5 2\n5\n3 14 9 -1 1",
"2\n5\n6 1 4 2 2\n5\n26 0 6 1 1",
"2\n5\n5 6 2 3 0\n5\n3 16 12 1 2",
"2\n5\n7 17 4 3 3\n5\n0 7 12 1 1",
"2\n5\n8 5 2 8 0\n5\n3 4 2 1 2",
"2\n5\n6 20 1 4 -1\n5\n3 6 23 0 1",
"2\n5\n10 2 0 3 1\n5\n2 6 17 1 2",
"2\n5\n6 5 2 3 1\n5\n3 15 12 0 8",
"2\n5\n6 5 4 6 1\n5\n1 6 0 1 1",
"2\n5\n1 2 -1 1 1\n5\n2 1 9 1 2",
"2\n5\n6 15 1 4 -3\n5\n12 4 8 0 1",
"2\n5\n6 6 2 3 0\n5\n3 4 4 1 2",
"2\n5\n6 10 4 5 2\n5\n3 11 0 2 -1",
"2\n5\n7 17 4 3 3\n5\n0 7 20 1 1",
"2\n5\n6 5 14 1 2\n5\n3 8 3 1 1",
"2\n5\n6 8 5 11 2\n5\n3 15 6 4 0",
"2\n5\n6 0 1 3 0\n5\n3 4 26 1 2",
"2\n5\n6 5 1 6 2\n5\n0 11 23 2 1",
"2\n5\n6 15 1 4 -3\n5\n12 4 15 0 1",
"2\n5\n1 5 5 5 2\n5\n3 6 15 -1 1",
"2\n5\n12 2 4 1 2\n5\n11 1 6 2 1",
"2\n5\n12 3 1 6 1\n5\n3 5 0 1 -1",
"2\n5\n6 23 1 4 -2\n5\n3 6 23 0 1",
"2\n5\n3 4 0 2 2\n5\n1 0 1 1 2",
"2\n5\n1 10 2 3 2\n5\n3 4 16 1 1",
"2\n5\n6 11 0 5 1\n5\n4 41 2 2 1",
"2\n5\n7 5 0 9 2\n5\n3 5 6 2 0",
"2\n5\n5 5 0 2 0\n5\n1 7 38 2 0",
"2\n5\n7 2 0 0 1\n5\n3 21 4 1 1",
"2\n5\n11 5 1 6 2\n5\n1 11 23 2 1",
"2\n5\n1 1 -1 1 1\n5\n2 2 18 1 2",
"2\n5\n6 15 1 4 -4\n5\n12 4 28 0 1",
"2\n5\n6 11 1 6 -1\n5\n2 4 19 0 1",
"2\n5\n10 9 1 10 1\n5\n1 4 1 1 0",
"2\n5\n10 11 4 9 2\n5\n6 81 6 2 2"
],
"output": [
"6\n5\n",
"6\n8\n",
"6\n11\n",
"7\n11\n",
"6\n9\n",
"8\n8\n",
"7\n9\n",
"6\n14\n",
"7\n14\n",
"8\n12\n",
"6\n5\n",
"6\n12\n",
"10\n11\n",
"9\n8\n",
"9\n14\n",
"9\n12\n",
"12\n14\n",
"8\n5\n",
"11\n8\n",
"9\n16\n",
"9\n9\n",
"12\n16\n",
"7\n24\n",
"12\n12\n",
"7\n8\n",
"10\n8\n",
"6\n25\n",
"12\n25\n",
"12\n10\n",
"10\n12\n",
"10\n5\n",
"12\n46\n",
"7\n15\n",
"15\n46\n",
"9\n13\n",
"8\n9\n",
"12\n13\n",
"6\n20\n",
"8\n11\n",
"11\n9\n",
"7\n5\n",
"7\n18\n",
"6\n7\n",
"11\n11\n",
"10\n14\n",
"11\n14\n",
"10\n16\n",
"21\n14\n",
"6\n24\n",
"7\n25\n",
"9\n11\n",
"10\n9\n",
"9\n46\n",
"6\n22\n",
"6\n17\n",
"6\n18\n",
"12\n9\n",
"7\n10\n",
"8\n16\n",
"6\n23\n",
"10\n6\n",
"9\n15\n",
"9\n5\n",
"7\n16\n",
"12\n17\n",
"7\n12\n",
"8\n15\n",
"6\n26\n",
"7\n17\n",
"18\n14\n",
"11\n6\n",
"21\n25\n",
"10\n19\n",
"6\n16\n",
"9\n7\n",
"5\n11\n",
"16\n12\n",
"7\n6\n",
"11\n12\n",
"18\n22\n",
"16\n9\n",
"14\n16\n",
"6\n28\n",
"9\n25\n",
"16\n17\n",
"8\n17\n",
"12\n11\n",
"12\n6\n",
"24\n25\n",
"6\n6\n",
"11\n18\n",
"12\n42\n",
"12\n8\n",
"6\n40\n",
"7\n22\n",
"11\n25\n",
"5\n20\n",
"16\n30\n",
"12\n21\n",
"13\n5\n",
"12\n82\n"
]
} | 1CODECHEF
|
101_C. Vectors_301 | At a geometry lesson Gerald was given a task: to get vector B out of vector A. Besides, the teacher permitted him to perform the following operations with vector А:
* Turn the vector by 90 degrees clockwise.
* Add to the vector a certain vector C.
Operations could be performed in any order any number of times.
Can Gerald cope with the task?
Input
The first line contains integers x1 и y1 — the coordinates of the vector A ( - 108 ≤ x1, y1 ≤ 108). The second and the third line contain in the similar manner vectors B and C (their coordinates are integers; their absolute value does not exceed 108).
Output
Print "YES" (without the quotes) if it is possible to get vector B using the given operations. Otherwise print "NO" (without the quotes).
Examples
Input
0 0
1 1
0 1
Output
YES
Input
0 0
1 1
1 1
Output
YES
Input
0 0
1 1
2 2
Output
NO | def check(x, y, p, q):
if x == 0 and y == 0:
return True
elif p * p + q * q != 0 and (x * q - y * p) % (p * p + q * q) == 0 and (x * p + y * q) % (p * p + q * q) == 0:
return True
else:
return False
x, y = map(int, raw_input().split())
a, b = map(int, raw_input().split())
p, q = map(int, raw_input().split())
if check(x - a, y - b, p, q) or check(x - b, y + a, p, q) or check(x + b, y - a, p, q) or check(x + a, y + b, p, q):
print "YES"
else:
print "NO" | 1Python2
| {
"input": [
"0 0\n1 1\n1 1\n",
"0 0\n1 1\n0 1\n",
"0 0\n1 1\n2 2\n",
"3 1\n-2 3\n-2 -2\n",
"-8916 9282\n2666 2344\n9109 -2730\n",
"0 45\n42 -47\n-51 -82\n",
"45 6\n65 5\n0 5\n",
"3 4\n-4 3\n1 7\n",
"-75629161 -68114618\n23285096 90997125\n84795646 72358903\n",
"2 3\n2 3\n0 0\n",
"-3 11\n6154942 80496611\n5 0\n",
"1 0\n0 1\n2 1\n",
"2630 8069\n-75372166 10085837\n-781 5563\n",
"69 -30\n-66 -100\n86 -38\n",
"69226391 60708120\n43106396 25795293\n80380957 88577789\n",
"-13 12\n826557 -90209918\n0 -5\n",
"0 0\n1 0\n100000000 0\n",
"9495309 -4445256\n66581093 -48831427\n5864682 -8016505\n",
"-100000000 -100000000\n100000000 100000000\n1 0\n",
"-34280877 -82070958\n66030914 -52671703\n0 -90987154\n",
"0 0\n-63411382 -42720436\n123456 543253\n",
"95 -13\n22 -36\n-25 -60\n",
"-2588 9699\n50743921 -45114432\n-5288 -7358\n",
"-59220368 0\n0 -75968891\n0 74081590\n",
"100000000 0\n1 0\n100000000 0\n",
"16 39\n95 18\n39 -64\n",
"-2413874 4166580\n83681508 25911924\n8615149 -6396049\n",
"-5922 -2466\n-46708374 -71085154\n-9882 298\n",
"-925 -1240\n25904140 -92743662\n-8028 -2933\n",
"-53 30\n-14 -19\n-61 11\n",
"-81 57\n-96 0\n-73 -58\n",
"100000000 0\n1 1\n100000000 100000000\n",
"0 4\n-1 -3\n4 1\n",
"0 0\n100000000 99999999\n100000000 100000000\n",
"-69415 74546\n37868 -89407\n19505 -59846\n",
"-48666683 22046293\n77649947 84819904\n-32803712 -99366118\n",
"2370720 9260730\n-31929898 43611588\n2817748 6788032\n",
"10 13\n-10 -13\n0 0\n",
"-17 -33\n56 -75\n-93 65\n",
"806224 -7075643\n94593948 -33094579\n-540130 -5612242\n",
"-2 -1\n0 1\n-2 -3\n",
"478 884\n418 -713\n-704 -961\n",
"100000000 1\n99999999 1\n100000000 1\n",
"-1 -7\n3 -2\n-4 -3\n",
"0 0\n100000000 0\n1 2\n",
"-9 4\n-2 -8\n9 4\n",
"57 43\n58 -54\n-43 0\n",
"8 2\n-10 1\n10 -2\n",
"6889 9158\n-843345 89332306\n7495 518\n",
"-52856 -58459\n-41878 81991\n-22821 59850\n",
"-50600641 25410541\n0 80575245\n0 62979800\n",
"-35 -90\n0 -42\n-8 -60\n",
"0 0\n100000000 99999997\n0 1\n",
"-6 9\n6 6\n9 6\n",
"80358706 0\n23898082 -87631921\n-48798084 88174414\n",
"-11 -10\n-1042937 89231497\n0 9\n",
"5491 -1888\n58611137 -17279700\n5629 -7705\n",
"74 -55\n0 50\n-68 26\n",
"-100000000 -100000000\n100000000 100000000\n0 1\n",
"1 1\n1 -1\n0 0\n",
"2 -1\n-2 -4\n1 -1\n",
"-127066 941778\n-654926 -838416\n809821 -229819\n",
"-4662151 6642823\n-620983 29911124\n6914655 -1204368\n",
"-1782346 -522853\n56023653 37655619\n7455445 -936314\n",
"0 0\n100000000 99999999\n1 0\n",
"-881780 8157586\n-83355045 -86221641\n-5080144 1016625\n",
"-52 0\n-60 -50\n-47 91\n",
"26164297 21666711\n-20848219 -49928045\n-36819763 26811563\n",
"-6389242 -2092524\n-18806778 85154882\n8457769 5141401\n",
"100000000 4444\n-4444 -100000000\n50000000 50000000\n",
"-8 1\n-10 -8\n1 -4\n",
"7 11\n13 13\n0 4\n",
"1778735 -1803902\n-92875004 -2966747\n-4125460 1149178\n",
"-95534030 -14392539\n-89751090 79655267\n-77491839 40745315\n",
"10327 -86117\n-51156 -26888\n-41007 27453\n",
"-4 3\n9 -2\n-3 -3\n",
"0 0\n4 2\n1 1\n",
"100000000 0\n99999999 1\n0 0\n",
"-8 -8\n66949614 -53875176\n-2 -4\n",
"-84 28\n33 -15\n-19 93\n",
"-65 -52\n31 -22\n0 -77\n",
"3 1\n1 -1\n-1 -4\n",
"1 1\n2 2\n-3 -3\n",
"-1 1\n2 1\n-2 -1\n",
"-7 9\n5 5\n-2 6\n",
"4 -3\n-3 1\n0 -2\n",
"92141071 -48275413\n-47968469 -13277723\n-15839680 51548907\n",
"-66738889 -24309585\n-39387414 -42921545\n-10462276 0\n",
"-5645 2118\n-23770935 62615171\n-2080 9473\n",
"4 0\n4 -3\n2 4\n",
"100000000 100000000\n0 0\n1 1\n",
"100000000 1\n99999999 1\n0 0\n",
"0 -4\n-1 -2\n0 1\n",
"60 55\n-88 -38\n0 59\n",
"836292 -1555463\n44451624 -63102407\n-7051275 -9619647\n",
"-38 -99\n76 43\n53 -84\n",
"0 0\n100000000 100000000\n1 0\n",
"1214 8046\n84729946 38445218\n3488 -5838\n",
"-43 41\n-99 92\n-20 51\n",
"-2797960 2819364\n59202462 71529306\n7799041 -4640234\n",
"-8725 -6466\n77278594 -3622341\n9344 -1256\n",
"-4 -4\n4 1\n-4 -2\n",
"-46921 46529\n87797 -73235\n18213 -86569\n",
"-8540887 -7511495\n-2659834 -6893955\n8115011 -3482324\n",
"100000000 0\n100000000 99999999\n100000000 100000000\n",
"45479363 56862079\n28029163 0\n-38736303 59867108\n",
"910801 387995\n-846325 167413\n-425681 -149086\n",
"6791 1587\n23543337 24784850\n3970 2327\n",
"-4 -4\n1 0\n-1 -3\n",
"0 0\n10 13\n10 13\n",
"10 13\n-13 10\n0 0\n",
"620 514\n-276 966\n578 106\n",
"2 0\n-2 1\n2 3\n",
"-95 -32\n-90 -43\n-40 16\n",
"-3 -2\n-3 3\n4 4\n",
"0 -4\n-3 -2\n3 -1\n",
"281 -914\n-217 113\n479 329\n",
"-66 -34\n59 -38\n13 0\n",
"59 0\n84 -28\n0 58\n",
"122542 -4826228\n-20855162 89301242\n8917870 2568139\n",
"0 0\n1 1\n100000000 100000000\n",
"-4 2\n4 -1\n-2 -1\n",
"-4 -3\n-3 -4\n1 4\n",
"-5493123 4007625\n-49191721 -31674255\n-9754636 6418706\n",
"27523869 0\n52900492 0\n33031150 -65488267\n",
"-2037 -1006\n-13301683 -83185771\n-3487 -4590\n",
"10150745 93724033\n-59625481 -18232739\n34384941 -28147896\n",
"-2 -2\n-2 3\n3 -1\n",
"98219518 -66590186\n14970849 -24409139\n82951915 43915349\n",
"100000000 100000000\n100000000 100000000\n0 1\n",
"0 14\n88 0\n88 0\n",
"2 2\n-2 1\n0 -3\n",
"0 100000000\n0 -100000000\n1 0\n",
"-23 36\n-72 0\n44 -60\n",
"-2911250 -3788914\n9975544 20015444\n7278331 4185016\n",
"72913933 0\n54300106 60510850\n32295823 -60694017\n",
"3411 2674\n-21536783 -33506984\n-8254 -3778\n",
"0 0\n12 12\n0 0\n",
"-2 4\n0 1\n-2 1\n",
"0 0\n0 0\n0 0\n",
"251893 526074\n593818 288991\n-120613 211128\n",
"-21570525 17439241\n-47857043 39456884\n-36121539 69473879\n",
"-28 0\n0 43\n0 -51\n",
"769260 131679\n-399548 -620680\n-439456 -164378\n",
"10 7\n91660376 -58581376\n0 -7\n",
"2 3\n3 -3\n3 -2\n",
"100000000 0\n99999999 1\n100000000 1\n",
"-6008 -6748\n-7106 -5319\n-1940 8048\n",
"0 0\n10000000 10000000\n1 1\n",
"5987456 -1627274\n-45083510 25782192\n-758074 971006\n",
"0 40072438\n-61016486 88561432\n28431496 60485628\n",
"-4 -2\n0 0\n-2 -1\n",
"-79956125 -88524398\n10949698 32312326\n-76024701 -77225990\n",
"-2919 -7389\n-4955 -1807\n2103 9400\n",
"24334185 -27189752\n0 -47230185\n0 -37588021\n",
"-2859 7599\n37114911 -75750711\n-9150 -7398\n",
"0 -14\n80 94\n-14 15\n",
"-48 -92\n59 -39\n-45 14\n",
"-380 -712\n-263 -104\n187 -329\n",
"3922510 4979687\n-83613487 73792320\n-2355010 7196240\n",
"4 1\n2 -1\n3 0\n",
"81 -91\n88 91\n-90 -77\n",
"6040 9662\n1903 7813\n5296 8638\n",
"82539131 17433579\n-56091046 68716401\n-73706000 41779060\n",
"2517677 8638224\n-75757217 -17117074\n-2847910 1342478\n",
"-4 1\n-4 2\n0 -2\n",
"-9234 9520\n58867682 17319702\n2273 -5831\n",
"51 77\n-9 81\n0 79\n",
"1 1\n1 2\n0 0\n",
"-573 5611\n-88934372 16274202\n-689 9294\n",
"89 55\n-13 27\n-13 -81\n",
"100000000 1\n99999999 1\n1 0\n",
"0 24078959\n75842668 -56466325\n-64025705 12045125\n",
"-12 9\n21015609 49124671\n3 2\n",
"4 2\n0 -1\n2 -2\n",
"-3 -9\n-72817057 -54284335\n-3 -1\n",
"6752575 4525855\n-2269760 5249721\n7718280 -5550799\n",
"0 0\n-30010581 33889813\n12862004 15575384\n",
"1 2\n-2 1\n0 0\n",
"0 0\n1 1\n0 0\n",
"-66381 86177\n24332 -47590\n-57592 80499\n",
"4931249 7448503\n8740191 1123509\n4410817 -3494433\n",
"0 0\n99999999 1\n100000000 1\n",
"9121753 -1624238\n1358642 -7305098\n9182854 -2204498\n",
"0 0\n100000000 99999997\n1 0\n",
"4 7\n2 9\n-7 -6\n",
"-7 0\n-51538008 -92285620\n-3 0\n",
"-9 4\n8 1\n-8 8\n",
"-1 -2\n3 -2\n-3 -1\n",
"-3 0\n2 1\n-2 0\n",
"0 -77922994\n47873382 0\n-48532375 -33729248\n",
"-12344578 -26470996\n0 -25186906\n-11572514 -38120367\n",
"-817674 316187\n-934134 660884\n-297136 -482732\n",
"1 3\n3 1\n3 3\n",
"32 34\n-50070000 21003000\n0 1\n",
"4560 -6056\n97943322 -20616116\n-1107 -5440\n",
"-33622572 -65473509\n-54144104 -59861983\n89814248 47623606\n",
"82237071 -62729681\n45778244 -73153917\n25235041 83636828\n",
"100000000 0\n99999999 1\n1 0\n",
"-78038627 -49761049\n0 22143739\n0 -60448485\n",
"94993760 -37786635\n-75326491 -21534927\n77949983 95218547\n",
"10 13\n0 0\n0 0\n",
"-253 -283\n-400 834\n718 -701\n",
"76 73\n82 -92\n-95 95\n",
"0 0\n48 0\n-62 68\n",
"67195377 58333196\n-60739152 -69557068\n-82003989 74825425\n",
"0 1\n2 3\n7 -11\n",
"0 4\n1 1\n-4 2\n",
"-2 2\n4 -2\n-2 -2\n",
"2 1\n1 -4\n-4 -2\n",
"10 13\n13 10\n0 0\n",
"-4664203 -2707147\n7039468 5543778\n5854600 -7808563\n",
"3 2\n1 0\n-4 -1\n",
"-2171 -9855\n4255 -3857\n6446 9559\n",
"10 -15\n23 0\n88 -36\n",
"-6223066 -5334825\n36109780 -5416931\n3246899 -4890875\n",
"6 2\n-97096230 19770854\n-5 4\n",
"-7355750 -5710643\n-48075697 25746997\n-3569463 3650928\n",
"100000000 1\n99999999 1\n0 1\n",
"-2 2\n3 3\n5 0\n",
"5 -12\n-47316040 -62956553\n-7 0\n",
"2 4\n-4 1\n3 3\n",
"-7 9\n-2 10\n-6 -4\n",
"-1334950 3309875\n-20438919 -45390492\n-722222 280804\n",
"3 1\n-1 3\n-2 -2\n",
"-8360 9282\n2666 2344\n9109 -2730\n",
"0 45\n42 -47\n-51 -42\n",
"45 6\n65 5\n0 6\n",
"3 4\n-1 3\n1 7\n",
"-75629161 -68114618\n14015172 90997125\n84795646 72358903\n",
"2 3\n0 3\n0 0\n",
"-3 11\n6154942 80496611\n9 0\n",
"1 0\n0 2\n2 1\n",
"2630 8069\n-133762045 10085837\n-781 5563\n",
"69 -37\n-66 -100\n86 -38\n",
"69226391 60708120\n61000543 25795293\n80380957 88577789\n",
"-13 12\n826557 -15075085\n0 -5\n",
"-1 0\n1 0\n100000000 0\n",
"9495309 -4445256\n2094389 -48831427\n5864682 -8016505\n",
"-100000000 -100000000\n100000100 100000000\n1 0\n",
"-37314374 -82070958\n66030914 -52671703\n0 -90987154\n",
"-1 0\n-63411382 -42720436\n123456 543253\n",
"95 -5\n22 -36\n-25 -60\n",
"-2588 11713\n50743921 -45114432\n-5288 -7358\n",
"-59220368 0\n0 -75968891\n1 74081590\n",
"100000000 0\n1 0\n000000000 0\n",
"16 39\n7 18\n39 -64\n",
"-2413874 4166580\n83681508 25911924\n16005030 -6396049\n",
"-5922 -1304\n-46708374 -71085154\n-9882 298\n",
"-925 -1240\n19661713 -92743662\n-8028 -2933\n",
"-74 30\n-14 -19\n-61 11\n",
"-81 57\n-60 0\n-73 -58\n",
"100000000 -1\n1 1\n100000000 100000000\n",
"0 4\n-1 -3\n4 0\n",
"0 0\n100000010 99999999\n100000000 100000000\n",
"-18071 74546\n37868 -89407\n19505 -59846\n",
"-48666683 22046293\n77649947 84819904\n-32803712 -154644663\n",
"2370720 9260730\n-32677513 43611588\n2817748 6788032\n",
"6 13\n-10 -13\n0 0\n",
"-17 -33\n56 -75\n-30 65\n",
"806224 -7075643\n94593948 -33094579\n-540130 -6066561\n",
"-2 -1\n0 1\n-1 -3\n",
"479 884\n418 -713\n-704 -961\n",
"100000000 1\n99999999 1\n100000001 1\n",
"-1 -7\n6 -2\n-4 -3\n",
"0 0\n100000001 0\n1 2\n",
"-9 4\n-2 -8\n9 8\n",
"67 43\n58 -54\n-43 0\n",
"8 2\n-10 1\n17 -2\n",
"6889 9158\n-796619 89332306\n7495 518\n",
"-52856 -58459\n-41878 81991\n-22821 6929\n",
"-50600641 25410541\n-1 80575245\n0 62979800\n",
"-35 -90\n1 -42\n-8 -60\n",
"0 0\n101000000 99999997\n0 1\n",
"-6 9\n2 6\n9 6\n",
"80358706 0\n30125999 -87631921\n-48798084 88174414\n",
"-8 -10\n-1042937 89231497\n0 9\n",
"5491 -1570\n58611137 -17279700\n5629 -7705\n",
"74 -55\n0 33\n-68 26\n",
"-100000000 -22462228\n100000000 100000000\n0 1\n"
],
"output": [
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n"
]
} | 2CODEFORCES
|
101_C. Vectors_302 | At a geometry lesson Gerald was given a task: to get vector B out of vector A. Besides, the teacher permitted him to perform the following operations with vector А:
* Turn the vector by 90 degrees clockwise.
* Add to the vector a certain vector C.
Operations could be performed in any order any number of times.
Can Gerald cope with the task?
Input
The first line contains integers x1 и y1 — the coordinates of the vector A ( - 108 ≤ x1, y1 ≤ 108). The second and the third line contain in the similar manner vectors B and C (their coordinates are integers; their absolute value does not exceed 108).
Output
Print "YES" (without the quotes) if it is possible to get vector B using the given operations. Otherwise print "NO" (without the quotes).
Examples
Input
0 0
1 1
0 1
Output
YES
Input
0 0
1 1
1 1
Output
YES
Input
0 0
1 1
2 2
Output
NO | #include <bits/stdc++.h>
using namespace std;
long long ax, ay, bx, by, cx, cy;
long long AX[4], AY[4], CX[4], CY[4];
bool judge_51nod(long long ax, long long ay, long long cx, long long cy) {
long long zi1 = abs((bx - ax) * cx + (by - ay) * cy);
long long zi2 = abs((by - ay) * cx - (bx - ax) * cy);
long long mu = abs(cx * cx + cy * cy);
if (mu)
if (zi1 % mu || zi2 % mu) return 0;
return 1;
}
bool judge(long long ax, long long ay, long long cx, long long cy) {
if (cx == 0 && cy == 0) return ax == bx && ay == by;
long long zi1 = abs((bx - ax) * cx + (by - ay) * cy);
long long zi2 = abs((by - ay) * cx - (bx - ax) * cy);
long long mu = abs(cx * cx + cy * cy);
return zi1 % mu == 0 && zi2 % mu == 0;
}
int main() {
cin >> ax >> ay >> bx >> by >> cx >> cy;
AX[0] = ax, AY[0] = ay;
AX[1] = -ay, AY[1] = ax;
AX[2] = -ax, AY[2] = -ay;
AX[3] = ay, AY[3] = -ax;
CX[0] = cx, CY[0] = cy;
CX[1] = -cy, CY[1] = cx;
CX[2] = -cx, CY[2] = -cy;
CX[3] = cy, CY[3] = -cx;
for (int i = 0; i < 4; i++)
for (int j = 0; j < 4; j++)
if (judge(AX[i], AY[i], CX[j], CY[j])) return cout << "YES", 0;
cout << "NO";
}
| 2C++
| {
"input": [
"0 0\n1 1\n1 1\n",
"0 0\n1 1\n0 1\n",
"0 0\n1 1\n2 2\n",
"3 1\n-2 3\n-2 -2\n",
"-8916 9282\n2666 2344\n9109 -2730\n",
"0 45\n42 -47\n-51 -82\n",
"45 6\n65 5\n0 5\n",
"3 4\n-4 3\n1 7\n",
"-75629161 -68114618\n23285096 90997125\n84795646 72358903\n",
"2 3\n2 3\n0 0\n",
"-3 11\n6154942 80496611\n5 0\n",
"1 0\n0 1\n2 1\n",
"2630 8069\n-75372166 10085837\n-781 5563\n",
"69 -30\n-66 -100\n86 -38\n",
"69226391 60708120\n43106396 25795293\n80380957 88577789\n",
"-13 12\n826557 -90209918\n0 -5\n",
"0 0\n1 0\n100000000 0\n",
"9495309 -4445256\n66581093 -48831427\n5864682 -8016505\n",
"-100000000 -100000000\n100000000 100000000\n1 0\n",
"-34280877 -82070958\n66030914 -52671703\n0 -90987154\n",
"0 0\n-63411382 -42720436\n123456 543253\n",
"95 -13\n22 -36\n-25 -60\n",
"-2588 9699\n50743921 -45114432\n-5288 -7358\n",
"-59220368 0\n0 -75968891\n0 74081590\n",
"100000000 0\n1 0\n100000000 0\n",
"16 39\n95 18\n39 -64\n",
"-2413874 4166580\n83681508 25911924\n8615149 -6396049\n",
"-5922 -2466\n-46708374 -71085154\n-9882 298\n",
"-925 -1240\n25904140 -92743662\n-8028 -2933\n",
"-53 30\n-14 -19\n-61 11\n",
"-81 57\n-96 0\n-73 -58\n",
"100000000 0\n1 1\n100000000 100000000\n",
"0 4\n-1 -3\n4 1\n",
"0 0\n100000000 99999999\n100000000 100000000\n",
"-69415 74546\n37868 -89407\n19505 -59846\n",
"-48666683 22046293\n77649947 84819904\n-32803712 -99366118\n",
"2370720 9260730\n-31929898 43611588\n2817748 6788032\n",
"10 13\n-10 -13\n0 0\n",
"-17 -33\n56 -75\n-93 65\n",
"806224 -7075643\n94593948 -33094579\n-540130 -5612242\n",
"-2 -1\n0 1\n-2 -3\n",
"478 884\n418 -713\n-704 -961\n",
"100000000 1\n99999999 1\n100000000 1\n",
"-1 -7\n3 -2\n-4 -3\n",
"0 0\n100000000 0\n1 2\n",
"-9 4\n-2 -8\n9 4\n",
"57 43\n58 -54\n-43 0\n",
"8 2\n-10 1\n10 -2\n",
"6889 9158\n-843345 89332306\n7495 518\n",
"-52856 -58459\n-41878 81991\n-22821 59850\n",
"-50600641 25410541\n0 80575245\n0 62979800\n",
"-35 -90\n0 -42\n-8 -60\n",
"0 0\n100000000 99999997\n0 1\n",
"-6 9\n6 6\n9 6\n",
"80358706 0\n23898082 -87631921\n-48798084 88174414\n",
"-11 -10\n-1042937 89231497\n0 9\n",
"5491 -1888\n58611137 -17279700\n5629 -7705\n",
"74 -55\n0 50\n-68 26\n",
"-100000000 -100000000\n100000000 100000000\n0 1\n",
"1 1\n1 -1\n0 0\n",
"2 -1\n-2 -4\n1 -1\n",
"-127066 941778\n-654926 -838416\n809821 -229819\n",
"-4662151 6642823\n-620983 29911124\n6914655 -1204368\n",
"-1782346 -522853\n56023653 37655619\n7455445 -936314\n",
"0 0\n100000000 99999999\n1 0\n",
"-881780 8157586\n-83355045 -86221641\n-5080144 1016625\n",
"-52 0\n-60 -50\n-47 91\n",
"26164297 21666711\n-20848219 -49928045\n-36819763 26811563\n",
"-6389242 -2092524\n-18806778 85154882\n8457769 5141401\n",
"100000000 4444\n-4444 -100000000\n50000000 50000000\n",
"-8 1\n-10 -8\n1 -4\n",
"7 11\n13 13\n0 4\n",
"1778735 -1803902\n-92875004 -2966747\n-4125460 1149178\n",
"-95534030 -14392539\n-89751090 79655267\n-77491839 40745315\n",
"10327 -86117\n-51156 -26888\n-41007 27453\n",
"-4 3\n9 -2\n-3 -3\n",
"0 0\n4 2\n1 1\n",
"100000000 0\n99999999 1\n0 0\n",
"-8 -8\n66949614 -53875176\n-2 -4\n",
"-84 28\n33 -15\n-19 93\n",
"-65 -52\n31 -22\n0 -77\n",
"3 1\n1 -1\n-1 -4\n",
"1 1\n2 2\n-3 -3\n",
"-1 1\n2 1\n-2 -1\n",
"-7 9\n5 5\n-2 6\n",
"4 -3\n-3 1\n0 -2\n",
"92141071 -48275413\n-47968469 -13277723\n-15839680 51548907\n",
"-66738889 -24309585\n-39387414 -42921545\n-10462276 0\n",
"-5645 2118\n-23770935 62615171\n-2080 9473\n",
"4 0\n4 -3\n2 4\n",
"100000000 100000000\n0 0\n1 1\n",
"100000000 1\n99999999 1\n0 0\n",
"0 -4\n-1 -2\n0 1\n",
"60 55\n-88 -38\n0 59\n",
"836292 -1555463\n44451624 -63102407\n-7051275 -9619647\n",
"-38 -99\n76 43\n53 -84\n",
"0 0\n100000000 100000000\n1 0\n",
"1214 8046\n84729946 38445218\n3488 -5838\n",
"-43 41\n-99 92\n-20 51\n",
"-2797960 2819364\n59202462 71529306\n7799041 -4640234\n",
"-8725 -6466\n77278594 -3622341\n9344 -1256\n",
"-4 -4\n4 1\n-4 -2\n",
"-46921 46529\n87797 -73235\n18213 -86569\n",
"-8540887 -7511495\n-2659834 -6893955\n8115011 -3482324\n",
"100000000 0\n100000000 99999999\n100000000 100000000\n",
"45479363 56862079\n28029163 0\n-38736303 59867108\n",
"910801 387995\n-846325 167413\n-425681 -149086\n",
"6791 1587\n23543337 24784850\n3970 2327\n",
"-4 -4\n1 0\n-1 -3\n",
"0 0\n10 13\n10 13\n",
"10 13\n-13 10\n0 0\n",
"620 514\n-276 966\n578 106\n",
"2 0\n-2 1\n2 3\n",
"-95 -32\n-90 -43\n-40 16\n",
"-3 -2\n-3 3\n4 4\n",
"0 -4\n-3 -2\n3 -1\n",
"281 -914\n-217 113\n479 329\n",
"-66 -34\n59 -38\n13 0\n",
"59 0\n84 -28\n0 58\n",
"122542 -4826228\n-20855162 89301242\n8917870 2568139\n",
"0 0\n1 1\n100000000 100000000\n",
"-4 2\n4 -1\n-2 -1\n",
"-4 -3\n-3 -4\n1 4\n",
"-5493123 4007625\n-49191721 -31674255\n-9754636 6418706\n",
"27523869 0\n52900492 0\n33031150 -65488267\n",
"-2037 -1006\n-13301683 -83185771\n-3487 -4590\n",
"10150745 93724033\n-59625481 -18232739\n34384941 -28147896\n",
"-2 -2\n-2 3\n3 -1\n",
"98219518 -66590186\n14970849 -24409139\n82951915 43915349\n",
"100000000 100000000\n100000000 100000000\n0 1\n",
"0 14\n88 0\n88 0\n",
"2 2\n-2 1\n0 -3\n",
"0 100000000\n0 -100000000\n1 0\n",
"-23 36\n-72 0\n44 -60\n",
"-2911250 -3788914\n9975544 20015444\n7278331 4185016\n",
"72913933 0\n54300106 60510850\n32295823 -60694017\n",
"3411 2674\n-21536783 -33506984\n-8254 -3778\n",
"0 0\n12 12\n0 0\n",
"-2 4\n0 1\n-2 1\n",
"0 0\n0 0\n0 0\n",
"251893 526074\n593818 288991\n-120613 211128\n",
"-21570525 17439241\n-47857043 39456884\n-36121539 69473879\n",
"-28 0\n0 43\n0 -51\n",
"769260 131679\n-399548 -620680\n-439456 -164378\n",
"10 7\n91660376 -58581376\n0 -7\n",
"2 3\n3 -3\n3 -2\n",
"100000000 0\n99999999 1\n100000000 1\n",
"-6008 -6748\n-7106 -5319\n-1940 8048\n",
"0 0\n10000000 10000000\n1 1\n",
"5987456 -1627274\n-45083510 25782192\n-758074 971006\n",
"0 40072438\n-61016486 88561432\n28431496 60485628\n",
"-4 -2\n0 0\n-2 -1\n",
"-79956125 -88524398\n10949698 32312326\n-76024701 -77225990\n",
"-2919 -7389\n-4955 -1807\n2103 9400\n",
"24334185 -27189752\n0 -47230185\n0 -37588021\n",
"-2859 7599\n37114911 -75750711\n-9150 -7398\n",
"0 -14\n80 94\n-14 15\n",
"-48 -92\n59 -39\n-45 14\n",
"-380 -712\n-263 -104\n187 -329\n",
"3922510 4979687\n-83613487 73792320\n-2355010 7196240\n",
"4 1\n2 -1\n3 0\n",
"81 -91\n88 91\n-90 -77\n",
"6040 9662\n1903 7813\n5296 8638\n",
"82539131 17433579\n-56091046 68716401\n-73706000 41779060\n",
"2517677 8638224\n-75757217 -17117074\n-2847910 1342478\n",
"-4 1\n-4 2\n0 -2\n",
"-9234 9520\n58867682 17319702\n2273 -5831\n",
"51 77\n-9 81\n0 79\n",
"1 1\n1 2\n0 0\n",
"-573 5611\n-88934372 16274202\n-689 9294\n",
"89 55\n-13 27\n-13 -81\n",
"100000000 1\n99999999 1\n1 0\n",
"0 24078959\n75842668 -56466325\n-64025705 12045125\n",
"-12 9\n21015609 49124671\n3 2\n",
"4 2\n0 -1\n2 -2\n",
"-3 -9\n-72817057 -54284335\n-3 -1\n",
"6752575 4525855\n-2269760 5249721\n7718280 -5550799\n",
"0 0\n-30010581 33889813\n12862004 15575384\n",
"1 2\n-2 1\n0 0\n",
"0 0\n1 1\n0 0\n",
"-66381 86177\n24332 -47590\n-57592 80499\n",
"4931249 7448503\n8740191 1123509\n4410817 -3494433\n",
"0 0\n99999999 1\n100000000 1\n",
"9121753 -1624238\n1358642 -7305098\n9182854 -2204498\n",
"0 0\n100000000 99999997\n1 0\n",
"4 7\n2 9\n-7 -6\n",
"-7 0\n-51538008 -92285620\n-3 0\n",
"-9 4\n8 1\n-8 8\n",
"-1 -2\n3 -2\n-3 -1\n",
"-3 0\n2 1\n-2 0\n",
"0 -77922994\n47873382 0\n-48532375 -33729248\n",
"-12344578 -26470996\n0 -25186906\n-11572514 -38120367\n",
"-817674 316187\n-934134 660884\n-297136 -482732\n",
"1 3\n3 1\n3 3\n",
"32 34\n-50070000 21003000\n0 1\n",
"4560 -6056\n97943322 -20616116\n-1107 -5440\n",
"-33622572 -65473509\n-54144104 -59861983\n89814248 47623606\n",
"82237071 -62729681\n45778244 -73153917\n25235041 83636828\n",
"100000000 0\n99999999 1\n1 0\n",
"-78038627 -49761049\n0 22143739\n0 -60448485\n",
"94993760 -37786635\n-75326491 -21534927\n77949983 95218547\n",
"10 13\n0 0\n0 0\n",
"-253 -283\n-400 834\n718 -701\n",
"76 73\n82 -92\n-95 95\n",
"0 0\n48 0\n-62 68\n",
"67195377 58333196\n-60739152 -69557068\n-82003989 74825425\n",
"0 1\n2 3\n7 -11\n",
"0 4\n1 1\n-4 2\n",
"-2 2\n4 -2\n-2 -2\n",
"2 1\n1 -4\n-4 -2\n",
"10 13\n13 10\n0 0\n",
"-4664203 -2707147\n7039468 5543778\n5854600 -7808563\n",
"3 2\n1 0\n-4 -1\n",
"-2171 -9855\n4255 -3857\n6446 9559\n",
"10 -15\n23 0\n88 -36\n",
"-6223066 -5334825\n36109780 -5416931\n3246899 -4890875\n",
"6 2\n-97096230 19770854\n-5 4\n",
"-7355750 -5710643\n-48075697 25746997\n-3569463 3650928\n",
"100000000 1\n99999999 1\n0 1\n",
"-2 2\n3 3\n5 0\n",
"5 -12\n-47316040 -62956553\n-7 0\n",
"2 4\n-4 1\n3 3\n",
"-7 9\n-2 10\n-6 -4\n",
"-1334950 3309875\n-20438919 -45390492\n-722222 280804\n",
"3 1\n-1 3\n-2 -2\n",
"-8360 9282\n2666 2344\n9109 -2730\n",
"0 45\n42 -47\n-51 -42\n",
"45 6\n65 5\n0 6\n",
"3 4\n-1 3\n1 7\n",
"-75629161 -68114618\n14015172 90997125\n84795646 72358903\n",
"2 3\n0 3\n0 0\n",
"-3 11\n6154942 80496611\n9 0\n",
"1 0\n0 2\n2 1\n",
"2630 8069\n-133762045 10085837\n-781 5563\n",
"69 -37\n-66 -100\n86 -38\n",
"69226391 60708120\n61000543 25795293\n80380957 88577789\n",
"-13 12\n826557 -15075085\n0 -5\n",
"-1 0\n1 0\n100000000 0\n",
"9495309 -4445256\n2094389 -48831427\n5864682 -8016505\n",
"-100000000 -100000000\n100000100 100000000\n1 0\n",
"-37314374 -82070958\n66030914 -52671703\n0 -90987154\n",
"-1 0\n-63411382 -42720436\n123456 543253\n",
"95 -5\n22 -36\n-25 -60\n",
"-2588 11713\n50743921 -45114432\n-5288 -7358\n",
"-59220368 0\n0 -75968891\n1 74081590\n",
"100000000 0\n1 0\n000000000 0\n",
"16 39\n7 18\n39 -64\n",
"-2413874 4166580\n83681508 25911924\n16005030 -6396049\n",
"-5922 -1304\n-46708374 -71085154\n-9882 298\n",
"-925 -1240\n19661713 -92743662\n-8028 -2933\n",
"-74 30\n-14 -19\n-61 11\n",
"-81 57\n-60 0\n-73 -58\n",
"100000000 -1\n1 1\n100000000 100000000\n",
"0 4\n-1 -3\n4 0\n",
"0 0\n100000010 99999999\n100000000 100000000\n",
"-18071 74546\n37868 -89407\n19505 -59846\n",
"-48666683 22046293\n77649947 84819904\n-32803712 -154644663\n",
"2370720 9260730\n-32677513 43611588\n2817748 6788032\n",
"6 13\n-10 -13\n0 0\n",
"-17 -33\n56 -75\n-30 65\n",
"806224 -7075643\n94593948 -33094579\n-540130 -6066561\n",
"-2 -1\n0 1\n-1 -3\n",
"479 884\n418 -713\n-704 -961\n",
"100000000 1\n99999999 1\n100000001 1\n",
"-1 -7\n6 -2\n-4 -3\n",
"0 0\n100000001 0\n1 2\n",
"-9 4\n-2 -8\n9 8\n",
"67 43\n58 -54\n-43 0\n",
"8 2\n-10 1\n17 -2\n",
"6889 9158\n-796619 89332306\n7495 518\n",
"-52856 -58459\n-41878 81991\n-22821 6929\n",
"-50600641 25410541\n-1 80575245\n0 62979800\n",
"-35 -90\n1 -42\n-8 -60\n",
"0 0\n101000000 99999997\n0 1\n",
"-6 9\n2 6\n9 6\n",
"80358706 0\n30125999 -87631921\n-48798084 88174414\n",
"-8 -10\n-1042937 89231497\n0 9\n",
"5491 -1570\n58611137 -17279700\n5629 -7705\n",
"74 -55\n0 33\n-68 26\n",
"-100000000 -22462228\n100000000 100000000\n0 1\n"
],
"output": [
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n"
]
} | 2CODEFORCES
|
101_C. Vectors_303 | At a geometry lesson Gerald was given a task: to get vector B out of vector A. Besides, the teacher permitted him to perform the following operations with vector А:
* Turn the vector by 90 degrees clockwise.
* Add to the vector a certain vector C.
Operations could be performed in any order any number of times.
Can Gerald cope with the task?
Input
The first line contains integers x1 и y1 — the coordinates of the vector A ( - 108 ≤ x1, y1 ≤ 108). The second and the third line contain in the similar manner vectors B and C (their coordinates are integers; their absolute value does not exceed 108).
Output
Print "YES" (without the quotes) if it is possible to get vector B using the given operations. Otherwise print "NO" (without the quotes).
Examples
Input
0 0
1 1
0 1
Output
YES
Input
0 0
1 1
1 1
Output
YES
Input
0 0
1 1
2 2
Output
NO | import math
def ok(xa, ya):
x, y = xb - xa, yb - ya
d = math.gcd(abs(xc), abs(yc))
if xc == 0 and yc == 0:
return x == 0 and y == 0
if xc == 0:
return x % yc == 0 and y % yc == 0
if yc == 0:
return x % xc == 0 and y % xc == 0
if (x % d != 0) or (y % d != 0):
return 0
a, b, c1, c2 = xc // d, yc // d, x // d, -y // d
if a == 0 and b == 0:
return c1 == 0 and c2 == 0
if (c1 * b + c2 * a) % (a * a + b * b) != 0:
return 0
yy = (c1 * b + c2 * a) / (a * a + b * b)
if a == 0:
return (c2 - a * yy) % b == 0
else:
return (c1 - b * yy) % a == 0
xa, ya = map(int,input().split())
xb, yb = map(int,input().split())
xc, yc = map(int,input().split())
if ok(xa, ya) or ok(-ya, xa) or ok(-xa, -ya) or ok(ya, -xa):
print('YES')
else:
print('NO')
| 3Python3
| {
"input": [
"0 0\n1 1\n1 1\n",
"0 0\n1 1\n0 1\n",
"0 0\n1 1\n2 2\n",
"3 1\n-2 3\n-2 -2\n",
"-8916 9282\n2666 2344\n9109 -2730\n",
"0 45\n42 -47\n-51 -82\n",
"45 6\n65 5\n0 5\n",
"3 4\n-4 3\n1 7\n",
"-75629161 -68114618\n23285096 90997125\n84795646 72358903\n",
"2 3\n2 3\n0 0\n",
"-3 11\n6154942 80496611\n5 0\n",
"1 0\n0 1\n2 1\n",
"2630 8069\n-75372166 10085837\n-781 5563\n",
"69 -30\n-66 -100\n86 -38\n",
"69226391 60708120\n43106396 25795293\n80380957 88577789\n",
"-13 12\n826557 -90209918\n0 -5\n",
"0 0\n1 0\n100000000 0\n",
"9495309 -4445256\n66581093 -48831427\n5864682 -8016505\n",
"-100000000 -100000000\n100000000 100000000\n1 0\n",
"-34280877 -82070958\n66030914 -52671703\n0 -90987154\n",
"0 0\n-63411382 -42720436\n123456 543253\n",
"95 -13\n22 -36\n-25 -60\n",
"-2588 9699\n50743921 -45114432\n-5288 -7358\n",
"-59220368 0\n0 -75968891\n0 74081590\n",
"100000000 0\n1 0\n100000000 0\n",
"16 39\n95 18\n39 -64\n",
"-2413874 4166580\n83681508 25911924\n8615149 -6396049\n",
"-5922 -2466\n-46708374 -71085154\n-9882 298\n",
"-925 -1240\n25904140 -92743662\n-8028 -2933\n",
"-53 30\n-14 -19\n-61 11\n",
"-81 57\n-96 0\n-73 -58\n",
"100000000 0\n1 1\n100000000 100000000\n",
"0 4\n-1 -3\n4 1\n",
"0 0\n100000000 99999999\n100000000 100000000\n",
"-69415 74546\n37868 -89407\n19505 -59846\n",
"-48666683 22046293\n77649947 84819904\n-32803712 -99366118\n",
"2370720 9260730\n-31929898 43611588\n2817748 6788032\n",
"10 13\n-10 -13\n0 0\n",
"-17 -33\n56 -75\n-93 65\n",
"806224 -7075643\n94593948 -33094579\n-540130 -5612242\n",
"-2 -1\n0 1\n-2 -3\n",
"478 884\n418 -713\n-704 -961\n",
"100000000 1\n99999999 1\n100000000 1\n",
"-1 -7\n3 -2\n-4 -3\n",
"0 0\n100000000 0\n1 2\n",
"-9 4\n-2 -8\n9 4\n",
"57 43\n58 -54\n-43 0\n",
"8 2\n-10 1\n10 -2\n",
"6889 9158\n-843345 89332306\n7495 518\n",
"-52856 -58459\n-41878 81991\n-22821 59850\n",
"-50600641 25410541\n0 80575245\n0 62979800\n",
"-35 -90\n0 -42\n-8 -60\n",
"0 0\n100000000 99999997\n0 1\n",
"-6 9\n6 6\n9 6\n",
"80358706 0\n23898082 -87631921\n-48798084 88174414\n",
"-11 -10\n-1042937 89231497\n0 9\n",
"5491 -1888\n58611137 -17279700\n5629 -7705\n",
"74 -55\n0 50\n-68 26\n",
"-100000000 -100000000\n100000000 100000000\n0 1\n",
"1 1\n1 -1\n0 0\n",
"2 -1\n-2 -4\n1 -1\n",
"-127066 941778\n-654926 -838416\n809821 -229819\n",
"-4662151 6642823\n-620983 29911124\n6914655 -1204368\n",
"-1782346 -522853\n56023653 37655619\n7455445 -936314\n",
"0 0\n100000000 99999999\n1 0\n",
"-881780 8157586\n-83355045 -86221641\n-5080144 1016625\n",
"-52 0\n-60 -50\n-47 91\n",
"26164297 21666711\n-20848219 -49928045\n-36819763 26811563\n",
"-6389242 -2092524\n-18806778 85154882\n8457769 5141401\n",
"100000000 4444\n-4444 -100000000\n50000000 50000000\n",
"-8 1\n-10 -8\n1 -4\n",
"7 11\n13 13\n0 4\n",
"1778735 -1803902\n-92875004 -2966747\n-4125460 1149178\n",
"-95534030 -14392539\n-89751090 79655267\n-77491839 40745315\n",
"10327 -86117\n-51156 -26888\n-41007 27453\n",
"-4 3\n9 -2\n-3 -3\n",
"0 0\n4 2\n1 1\n",
"100000000 0\n99999999 1\n0 0\n",
"-8 -8\n66949614 -53875176\n-2 -4\n",
"-84 28\n33 -15\n-19 93\n",
"-65 -52\n31 -22\n0 -77\n",
"3 1\n1 -1\n-1 -4\n",
"1 1\n2 2\n-3 -3\n",
"-1 1\n2 1\n-2 -1\n",
"-7 9\n5 5\n-2 6\n",
"4 -3\n-3 1\n0 -2\n",
"92141071 -48275413\n-47968469 -13277723\n-15839680 51548907\n",
"-66738889 -24309585\n-39387414 -42921545\n-10462276 0\n",
"-5645 2118\n-23770935 62615171\n-2080 9473\n",
"4 0\n4 -3\n2 4\n",
"100000000 100000000\n0 0\n1 1\n",
"100000000 1\n99999999 1\n0 0\n",
"0 -4\n-1 -2\n0 1\n",
"60 55\n-88 -38\n0 59\n",
"836292 -1555463\n44451624 -63102407\n-7051275 -9619647\n",
"-38 -99\n76 43\n53 -84\n",
"0 0\n100000000 100000000\n1 0\n",
"1214 8046\n84729946 38445218\n3488 -5838\n",
"-43 41\n-99 92\n-20 51\n",
"-2797960 2819364\n59202462 71529306\n7799041 -4640234\n",
"-8725 -6466\n77278594 -3622341\n9344 -1256\n",
"-4 -4\n4 1\n-4 -2\n",
"-46921 46529\n87797 -73235\n18213 -86569\n",
"-8540887 -7511495\n-2659834 -6893955\n8115011 -3482324\n",
"100000000 0\n100000000 99999999\n100000000 100000000\n",
"45479363 56862079\n28029163 0\n-38736303 59867108\n",
"910801 387995\n-846325 167413\n-425681 -149086\n",
"6791 1587\n23543337 24784850\n3970 2327\n",
"-4 -4\n1 0\n-1 -3\n",
"0 0\n10 13\n10 13\n",
"10 13\n-13 10\n0 0\n",
"620 514\n-276 966\n578 106\n",
"2 0\n-2 1\n2 3\n",
"-95 -32\n-90 -43\n-40 16\n",
"-3 -2\n-3 3\n4 4\n",
"0 -4\n-3 -2\n3 -1\n",
"281 -914\n-217 113\n479 329\n",
"-66 -34\n59 -38\n13 0\n",
"59 0\n84 -28\n0 58\n",
"122542 -4826228\n-20855162 89301242\n8917870 2568139\n",
"0 0\n1 1\n100000000 100000000\n",
"-4 2\n4 -1\n-2 -1\n",
"-4 -3\n-3 -4\n1 4\n",
"-5493123 4007625\n-49191721 -31674255\n-9754636 6418706\n",
"27523869 0\n52900492 0\n33031150 -65488267\n",
"-2037 -1006\n-13301683 -83185771\n-3487 -4590\n",
"10150745 93724033\n-59625481 -18232739\n34384941 -28147896\n",
"-2 -2\n-2 3\n3 -1\n",
"98219518 -66590186\n14970849 -24409139\n82951915 43915349\n",
"100000000 100000000\n100000000 100000000\n0 1\n",
"0 14\n88 0\n88 0\n",
"2 2\n-2 1\n0 -3\n",
"0 100000000\n0 -100000000\n1 0\n",
"-23 36\n-72 0\n44 -60\n",
"-2911250 -3788914\n9975544 20015444\n7278331 4185016\n",
"72913933 0\n54300106 60510850\n32295823 -60694017\n",
"3411 2674\n-21536783 -33506984\n-8254 -3778\n",
"0 0\n12 12\n0 0\n",
"-2 4\n0 1\n-2 1\n",
"0 0\n0 0\n0 0\n",
"251893 526074\n593818 288991\n-120613 211128\n",
"-21570525 17439241\n-47857043 39456884\n-36121539 69473879\n",
"-28 0\n0 43\n0 -51\n",
"769260 131679\n-399548 -620680\n-439456 -164378\n",
"10 7\n91660376 -58581376\n0 -7\n",
"2 3\n3 -3\n3 -2\n",
"100000000 0\n99999999 1\n100000000 1\n",
"-6008 -6748\n-7106 -5319\n-1940 8048\n",
"0 0\n10000000 10000000\n1 1\n",
"5987456 -1627274\n-45083510 25782192\n-758074 971006\n",
"0 40072438\n-61016486 88561432\n28431496 60485628\n",
"-4 -2\n0 0\n-2 -1\n",
"-79956125 -88524398\n10949698 32312326\n-76024701 -77225990\n",
"-2919 -7389\n-4955 -1807\n2103 9400\n",
"24334185 -27189752\n0 -47230185\n0 -37588021\n",
"-2859 7599\n37114911 -75750711\n-9150 -7398\n",
"0 -14\n80 94\n-14 15\n",
"-48 -92\n59 -39\n-45 14\n",
"-380 -712\n-263 -104\n187 -329\n",
"3922510 4979687\n-83613487 73792320\n-2355010 7196240\n",
"4 1\n2 -1\n3 0\n",
"81 -91\n88 91\n-90 -77\n",
"6040 9662\n1903 7813\n5296 8638\n",
"82539131 17433579\n-56091046 68716401\n-73706000 41779060\n",
"2517677 8638224\n-75757217 -17117074\n-2847910 1342478\n",
"-4 1\n-4 2\n0 -2\n",
"-9234 9520\n58867682 17319702\n2273 -5831\n",
"51 77\n-9 81\n0 79\n",
"1 1\n1 2\n0 0\n",
"-573 5611\n-88934372 16274202\n-689 9294\n",
"89 55\n-13 27\n-13 -81\n",
"100000000 1\n99999999 1\n1 0\n",
"0 24078959\n75842668 -56466325\n-64025705 12045125\n",
"-12 9\n21015609 49124671\n3 2\n",
"4 2\n0 -1\n2 -2\n",
"-3 -9\n-72817057 -54284335\n-3 -1\n",
"6752575 4525855\n-2269760 5249721\n7718280 -5550799\n",
"0 0\n-30010581 33889813\n12862004 15575384\n",
"1 2\n-2 1\n0 0\n",
"0 0\n1 1\n0 0\n",
"-66381 86177\n24332 -47590\n-57592 80499\n",
"4931249 7448503\n8740191 1123509\n4410817 -3494433\n",
"0 0\n99999999 1\n100000000 1\n",
"9121753 -1624238\n1358642 -7305098\n9182854 -2204498\n",
"0 0\n100000000 99999997\n1 0\n",
"4 7\n2 9\n-7 -6\n",
"-7 0\n-51538008 -92285620\n-3 0\n",
"-9 4\n8 1\n-8 8\n",
"-1 -2\n3 -2\n-3 -1\n",
"-3 0\n2 1\n-2 0\n",
"0 -77922994\n47873382 0\n-48532375 -33729248\n",
"-12344578 -26470996\n0 -25186906\n-11572514 -38120367\n",
"-817674 316187\n-934134 660884\n-297136 -482732\n",
"1 3\n3 1\n3 3\n",
"32 34\n-50070000 21003000\n0 1\n",
"4560 -6056\n97943322 -20616116\n-1107 -5440\n",
"-33622572 -65473509\n-54144104 -59861983\n89814248 47623606\n",
"82237071 -62729681\n45778244 -73153917\n25235041 83636828\n",
"100000000 0\n99999999 1\n1 0\n",
"-78038627 -49761049\n0 22143739\n0 -60448485\n",
"94993760 -37786635\n-75326491 -21534927\n77949983 95218547\n",
"10 13\n0 0\n0 0\n",
"-253 -283\n-400 834\n718 -701\n",
"76 73\n82 -92\n-95 95\n",
"0 0\n48 0\n-62 68\n",
"67195377 58333196\n-60739152 -69557068\n-82003989 74825425\n",
"0 1\n2 3\n7 -11\n",
"0 4\n1 1\n-4 2\n",
"-2 2\n4 -2\n-2 -2\n",
"2 1\n1 -4\n-4 -2\n",
"10 13\n13 10\n0 0\n",
"-4664203 -2707147\n7039468 5543778\n5854600 -7808563\n",
"3 2\n1 0\n-4 -1\n",
"-2171 -9855\n4255 -3857\n6446 9559\n",
"10 -15\n23 0\n88 -36\n",
"-6223066 -5334825\n36109780 -5416931\n3246899 -4890875\n",
"6 2\n-97096230 19770854\n-5 4\n",
"-7355750 -5710643\n-48075697 25746997\n-3569463 3650928\n",
"100000000 1\n99999999 1\n0 1\n",
"-2 2\n3 3\n5 0\n",
"5 -12\n-47316040 -62956553\n-7 0\n",
"2 4\n-4 1\n3 3\n",
"-7 9\n-2 10\n-6 -4\n",
"-1334950 3309875\n-20438919 -45390492\n-722222 280804\n",
"3 1\n-1 3\n-2 -2\n",
"-8360 9282\n2666 2344\n9109 -2730\n",
"0 45\n42 -47\n-51 -42\n",
"45 6\n65 5\n0 6\n",
"3 4\n-1 3\n1 7\n",
"-75629161 -68114618\n14015172 90997125\n84795646 72358903\n",
"2 3\n0 3\n0 0\n",
"-3 11\n6154942 80496611\n9 0\n",
"1 0\n0 2\n2 1\n",
"2630 8069\n-133762045 10085837\n-781 5563\n",
"69 -37\n-66 -100\n86 -38\n",
"69226391 60708120\n61000543 25795293\n80380957 88577789\n",
"-13 12\n826557 -15075085\n0 -5\n",
"-1 0\n1 0\n100000000 0\n",
"9495309 -4445256\n2094389 -48831427\n5864682 -8016505\n",
"-100000000 -100000000\n100000100 100000000\n1 0\n",
"-37314374 -82070958\n66030914 -52671703\n0 -90987154\n",
"-1 0\n-63411382 -42720436\n123456 543253\n",
"95 -5\n22 -36\n-25 -60\n",
"-2588 11713\n50743921 -45114432\n-5288 -7358\n",
"-59220368 0\n0 -75968891\n1 74081590\n",
"100000000 0\n1 0\n000000000 0\n",
"16 39\n7 18\n39 -64\n",
"-2413874 4166580\n83681508 25911924\n16005030 -6396049\n",
"-5922 -1304\n-46708374 -71085154\n-9882 298\n",
"-925 -1240\n19661713 -92743662\n-8028 -2933\n",
"-74 30\n-14 -19\n-61 11\n",
"-81 57\n-60 0\n-73 -58\n",
"100000000 -1\n1 1\n100000000 100000000\n",
"0 4\n-1 -3\n4 0\n",
"0 0\n100000010 99999999\n100000000 100000000\n",
"-18071 74546\n37868 -89407\n19505 -59846\n",
"-48666683 22046293\n77649947 84819904\n-32803712 -154644663\n",
"2370720 9260730\n-32677513 43611588\n2817748 6788032\n",
"6 13\n-10 -13\n0 0\n",
"-17 -33\n56 -75\n-30 65\n",
"806224 -7075643\n94593948 -33094579\n-540130 -6066561\n",
"-2 -1\n0 1\n-1 -3\n",
"479 884\n418 -713\n-704 -961\n",
"100000000 1\n99999999 1\n100000001 1\n",
"-1 -7\n6 -2\n-4 -3\n",
"0 0\n100000001 0\n1 2\n",
"-9 4\n-2 -8\n9 8\n",
"67 43\n58 -54\n-43 0\n",
"8 2\n-10 1\n17 -2\n",
"6889 9158\n-796619 89332306\n7495 518\n",
"-52856 -58459\n-41878 81991\n-22821 6929\n",
"-50600641 25410541\n-1 80575245\n0 62979800\n",
"-35 -90\n1 -42\n-8 -60\n",
"0 0\n101000000 99999997\n0 1\n",
"-6 9\n2 6\n9 6\n",
"80358706 0\n30125999 -87631921\n-48798084 88174414\n",
"-8 -10\n-1042937 89231497\n0 9\n",
"5491 -1570\n58611137 -17279700\n5629 -7705\n",
"74 -55\n0 33\n-68 26\n",
"-100000000 -22462228\n100000000 100000000\n0 1\n"
],
"output": [
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n"
]
} | 2CODEFORCES
|
101_C. Vectors_304 | At a geometry lesson Gerald was given a task: to get vector B out of vector A. Besides, the teacher permitted him to perform the following operations with vector А:
* Turn the vector by 90 degrees clockwise.
* Add to the vector a certain vector C.
Operations could be performed in any order any number of times.
Can Gerald cope with the task?
Input
The first line contains integers x1 и y1 — the coordinates of the vector A ( - 108 ≤ x1, y1 ≤ 108). The second and the third line contain in the similar manner vectors B and C (their coordinates are integers; their absolute value does not exceed 108).
Output
Print "YES" (without the quotes) if it is possible to get vector B using the given operations. Otherwise print "NO" (without the quotes).
Examples
Input
0 0
1 1
0 1
Output
YES
Input
0 0
1 1
1 1
Output
YES
Input
0 0
1 1
2 2
Output
NO | import java.io.BufferedReader;
import java.io.File;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Locale;
import java.util.StringTokenizer;
@SuppressWarnings("unchecked")
public class Main {
private static final String TASKNAME = "c";
private void solve() throws Exception {
long ax = nextLong();
long ay = nextLong();
long bbx = nextLong();
long bby = nextLong();
long cx = nextLong();
long cy = nextLong();
boolean ans = false;
for (int i = 0; i < 4; ++i) {
long bx = -(bbx - ax);
long by = -(bby - ay);
long d = cx * cx + cy * cy;
if (d == 0) {
ans |= bx == 0 && by == 0;
} else {
ans |= (cy * by + cx * bx) % d == 0 && (cx * by - cy * bx) % d == 0;
}
long t = ax;
ax = ay;
ay = t;
ax *= -1;
}
println(ans ? "YES" : "NO");
}
private BufferedReader reader;
private PrintWriter writer;
private StringTokenizer tokenizer;
private void run() {
try {
reader = new BufferedReader(new InputStreamReader(System.in));
writer = new PrintWriter(System.out);
// reader = new BufferedReader(new FileReader(TASKNAME + ".in"));
// writer = new PrintWriter(new File(TASKNAME + ".out"));
solve();
reader.close();
writer.close();
} catch (Throwable e) {
throw new AssertionError(e);
}
}
private void print(final Object o) {
writer.print(o);
}
private void println(final Object o) {
writer.println(o);
}
private void printf(final String format, final Object... o) {
writer.printf(format, o);
}
private double nextDouble() throws IOException {
return Double.parseDouble(nextToken());
}
private int nextInt() throws IOException {
return Integer.parseInt(nextToken());
}
private long nextLong() throws IOException {
return Long.parseLong(nextToken());
}
private String nextToken() throws IOException {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
tokenizer = new StringTokenizer(reader.readLine());
}
return tokenizer.nextToken();
}
public static void main(String[] args) {
final long startTime = System.currentTimeMillis();
Locale.setDefault(Locale.US);
new Main().run();
System.err.printf("%.3f\n", (System.currentTimeMillis() - startTime) * 0.001);
}
}
| 4JAVA
| {
"input": [
"0 0\n1 1\n1 1\n",
"0 0\n1 1\n0 1\n",
"0 0\n1 1\n2 2\n",
"3 1\n-2 3\n-2 -2\n",
"-8916 9282\n2666 2344\n9109 -2730\n",
"0 45\n42 -47\n-51 -82\n",
"45 6\n65 5\n0 5\n",
"3 4\n-4 3\n1 7\n",
"-75629161 -68114618\n23285096 90997125\n84795646 72358903\n",
"2 3\n2 3\n0 0\n",
"-3 11\n6154942 80496611\n5 0\n",
"1 0\n0 1\n2 1\n",
"2630 8069\n-75372166 10085837\n-781 5563\n",
"69 -30\n-66 -100\n86 -38\n",
"69226391 60708120\n43106396 25795293\n80380957 88577789\n",
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]
} | 2CODEFORCES
|
1043_A. Elections_305 | Awruk is taking part in elections in his school. It is the final round. He has only one opponent — Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 ≤ k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n — how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n — how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of students in the school.
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 100) — the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k ≥ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip. | n=int(raw_input())
A=map(int,raw_input().split())
if n==1:
print 2*A[0]+1
exit()
sux=sum(A)
k=max(A)
k2=(2*sux)/n+1
print max(k,k2)
exit()
| 1Python2
| {
"input": [
"5\n2 2 3 2 2\n",
"5\n1 1 1 5 1\n",
"3\n1 2 6\n",
"10\n7 7 7 7 7 7 7 7 7 7\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 1 3 5 2 4\n",
"5\n1 1 1 1 3\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n",
"100\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 2 2 2 2 2 2 2 2\n",
"3\n1 1 2\n",
"4\n6 6 5 5\n",
"2\n1 1\n",
"2\n15 5\n",
"4\n1 2 3 4\n",
"4\n1 2 2 1\n",
"20\n2 2 2 2 4 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 1 1 7 1 1 2\n",
"4\n1 1 1 3\n",
"100\n50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75\n",
"77\n1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 7 7 7 7 7 7 7\n",
"5\n4 4 4 4 3\n",
"10\n5 5 5 5 5 5 5 5 5 5\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 9 10 10 6 6 2 3 9 9 9\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 3 1 22 37 13 10 9 45 28 2 41 21 36 3 4 41 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11\n",
"6\n4 5 5 5 5 5\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 14 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 6 3\n",
"6\n4 4 4 4 4 9\n",
"3\n2 2 1\n",
"1\n1\n",
"2\n100 100\n",
"50\n2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 1\n",
"1\n100\n",
"2\n1 4\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 38 7\n",
"20\n10 7 1 9 9 3 10 9 9 2 9 8 5 10 9 20 4 9 9 9\n",
"10\n1 2 2 2 2 2 1 2 2 1\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25\n",
"10\n2 2 4 4 3 1 1 2 3 2\n",
"3\n1 4 1\n",
"3\n1 1 4\n",
"5\n1 1 1 3 4\n",
"5\n2 2 2 3 3\n",
"25\n2 2 3 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 1 3\n",
"3\n1 0 6\n",
"10\n7 7 7 7 7 7 7 7 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 2 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 110 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 1 3 3 2 4\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n",
"100\n1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 1 2 2 2 2 2 2 2\n",
"2\n28 5\n",
"4\n1 4 3 4\n",
"4\n1 1 1 5\n",
"100\n50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 13 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 116 75\n",
"77\n1 2 3 4 5 6 7 8 9 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 7 7 7 7 7 7 7\n",
"5\n4 4 4 4 6\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 9 10 10 6 9 2 3 9 9 9\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 29 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 14 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 7 3\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 68 7\n",
"20\n10 7 1 9 9 3 10 9 9 2 9 8 5 18 9 20 4 9 9 9\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 38 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 000 100 100 100 100 100 100 100 110 100 100 100\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 2 91\n",
"2\n1 0\n",
"2\n19 5\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 16 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 116 75\n",
"6\n4 5 5 5 5 6\n",
"5\n1 1 1 1 6\n",
"3\n1 1 1\n",
"4\n6 6 5 1\n",
"2\n1 2\n",
"4\n1 3 2 1\n",
"20\n0 2 2 2 4 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 0 1 7 1 1 2\n",
"10\n5 5 5 5 5 5 5 5 5 0\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 6 1 22 37 13 10 9 45 28 2 41 21 36 3 4 41 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"6\n4 5 5 5 5 10\n",
"6\n4 0 4 4 4 9\n",
"3\n2 3 1\n",
"1\n2\n",
"50\n2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 0 1 1 2 2 1 1 2 1 1 1 1\n",
"2\n1 5\n",
"10\n1 2 2 2 2 2 1 4 2 1\n",
"10\n2 2 4 4 1 1 1 2 3 2\n",
"3\n2 4 1\n",
"3\n1 2 4\n",
"5\n1 2 1 3 4\n",
"5\n2 2 2 4 3\n",
"25\n2 2 0 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 1 3\n",
"5\n2 2 3 2 1\n",
"5\n1 1 2 5 1\n",
"3\n0 0 6\n",
"10\n7 7 7 7 7 10 7 7 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 9 3 11 2 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 0 3 3 2 4\n",
"5\n2 1 1 1 6\n",
"100\n1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 0 2 2 2 2 2 2 2\n",
"3\n1 2 1\n",
"4\n6 6 5 2\n",
"4\n1 8 3 4\n",
"4\n1 3 2 0\n",
"20\n0 2 2 2 4 2 0 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 0 1 7 0 1 2\n",
"4\n2 1 1 5\n",
"100\n40 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 13 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"77\n1 2 3 4 5 6 7 8 9 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 5 7 7 7 7 7 7\n",
"5\n2 4 4 4 6\n",
"10\n4 5 5 5 5 5 5 5 5 0\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 7 10 10 6 9 2 3 9 9 9\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 6 1 22 37 13 10 9 45 28 2 41 21 36 3 4 17 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 29 2 6 16 16 17 18 6 7 19 13 6 3 8 21 13 7 1 14 11\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 25 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 7 3\n",
"6\n5 0 4 4 4 9\n",
"3\n2 0 1\n",
"50\n2 2 2 2 3 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 0 1 1 2 2 1 1 2 1 1 1 1\n",
"2\n1 7\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 68 3\n",
"20\n10 7 1 5 9 3 10 9 9 2 9 8 5 18 9 20 4 9 9 9\n",
"10\n1 2 2 2 0 2 1 4 2 1\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 38 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 27 25 25 25 25\n",
"10\n2 2 4 4 1 1 1 0 3 2\n",
"3\n2 5 1\n",
"3\n2 1 4\n",
"5\n1 2 0 3 4\n",
"5\n2 2 3 4 3\n",
"25\n2 2 0 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 2 3\n",
"5\n2 2 3 2 0\n",
"5\n1 1 2 5 2\n",
"3\n-1 0 6\n",
"10\n7 7 7 7 7 10 7 4 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 9 3 11 2 8 12 15 1 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 110 100 100 100 100 100 100 000 100 100 100 100 100 100 100 110 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 3 2 2 3 2 1 2 0 3 3 2 4\n",
"5\n2 1 1 2 6\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 26 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 2 91\n"
],
"output": [
"5\n",
"5\n",
"7\n",
"15\n",
"22\n",
"201\n",
"10\n",
"3\n",
"102\n",
"3\n",
"5\n",
"3\n",
"12\n",
"3\n",
"21\n",
"6\n",
"4\n",
"4\n",
"7\n",
"4\n",
"101\n",
"151\n",
"12\n",
"8\n",
"11\n",
"12\n",
"100\n",
"22\n",
"10\n",
"15\n",
"10\n",
"4\n",
"3\n",
"201\n",
"5\n",
"201\n",
"6\n",
"49\n",
"20\n",
"4\n",
"51\n",
"5\n",
"5\n",
"5\n",
"5\n",
"5\n",
"5\n",
"6\n",
"14\n",
"22\n",
"201\n",
"10\n",
"102\n",
"3\n",
"4\n",
"34\n",
"7\n",
"5\n",
"100\n",
"151\n",
"12\n",
"9\n",
"13\n",
"29\n",
"15\n",
"68\n",
"20\n",
"51\n",
"199\n",
"101\n",
"2\n",
"25\n",
"150\n",
"11\n",
"6\n",
"3\n",
"10\n",
"4\n",
"4\n",
"4\n",
"7\n",
"10\n",
"100\n",
"12\n",
"9\n",
"5\n",
"5\n",
"5\n",
"7\n",
"4\n",
"5\n",
"5\n",
"5\n",
"5\n",
"6\n",
"5\n",
"5\n",
"5\n",
"6\n",
"14\n",
"22\n",
"10\n",
"6\n",
"3\n",
"4\n",
"3\n",
"10\n",
"9\n",
"4\n",
"4\n",
"7\n",
"5\n",
"100\n",
"12\n",
"9\n",
"9\n",
"12\n",
"100\n",
"29\n",
"25\n",
"9\n",
"3\n",
"5\n",
"9\n",
"68\n",
"20\n",
"4\n",
"51\n",
"5\n",
"6\n",
"5\n",
"5\n",
"6\n",
"5\n",
"4\n",
"5\n",
"6\n",
"14\n",
"22\n",
"199\n",
"10\n",
"6\n",
"101\n"
]
} | 2CODEFORCES
|
1043_A. Elections_306 | Awruk is taking part in elections in his school. It is the final round. He has only one opponent — Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 ≤ k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n — how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n — how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of students in the school.
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 100) — the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k ≥ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip. | #include <bits/stdc++.h>
using namespace std;
int main() {
int n;
cin >> n;
vector<int> a(n);
int ans = 0;
for (int i = 0; i < n; i++) {
cin >> a[i];
ans = max(ans, a[i]);
}
for (int i = ans; i < 1000; i++) {
int cur = 0;
for (int j = 0; j < n; j++) {
cur += i - a[j] * 2;
}
if (cur > 0) {
cout << i;
return 0;
}
}
return 0;
}
| 2C++
| {
"input": [
"5\n2 2 3 2 2\n",
"5\n1 1 1 5 1\n",
"3\n1 2 6\n",
"10\n7 7 7 7 7 7 7 7 7 7\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 1 3 5 2 4\n",
"5\n1 1 1 1 3\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n",
"100\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 2 2 2 2 2 2 2 2\n",
"3\n1 1 2\n",
"4\n6 6 5 5\n",
"2\n1 1\n",
"2\n15 5\n",
"4\n1 2 3 4\n",
"4\n1 2 2 1\n",
"20\n2 2 2 2 4 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 1 1 7 1 1 2\n",
"4\n1 1 1 3\n",
"100\n50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75\n",
"77\n1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 7 7 7 7 7 7 7\n",
"5\n4 4 4 4 3\n",
"10\n5 5 5 5 5 5 5 5 5 5\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 9 10 10 6 6 2 3 9 9 9\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 3 1 22 37 13 10 9 45 28 2 41 21 36 3 4 41 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11\n",
"6\n4 5 5 5 5 5\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 14 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 6 3\n",
"6\n4 4 4 4 4 9\n",
"3\n2 2 1\n",
"1\n1\n",
"2\n100 100\n",
"50\n2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 1\n",
"1\n100\n",
"2\n1 4\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 38 7\n",
"20\n10 7 1 9 9 3 10 9 9 2 9 8 5 10 9 20 4 9 9 9\n",
"10\n1 2 2 2 2 2 1 2 2 1\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25\n",
"10\n2 2 4 4 3 1 1 2 3 2\n",
"3\n1 4 1\n",
"3\n1 1 4\n",
"5\n1 1 1 3 4\n",
"5\n2 2 2 3 3\n",
"25\n2 2 3 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 1 3\n",
"3\n1 0 6\n",
"10\n7 7 7 7 7 7 7 7 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 2 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 110 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 1 3 3 2 4\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n",
"100\n1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 1 2 2 2 2 2 2 2\n",
"2\n28 5\n",
"4\n1 4 3 4\n",
"4\n1 1 1 5\n",
"100\n50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 13 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 116 75\n",
"77\n1 2 3 4 5 6 7 8 9 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 7 7 7 7 7 7 7\n",
"5\n4 4 4 4 6\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 9 10 10 6 9 2 3 9 9 9\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 29 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 14 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 7 3\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 68 7\n",
"20\n10 7 1 9 9 3 10 9 9 2 9 8 5 18 9 20 4 9 9 9\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 38 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 000 100 100 100 100 100 100 100 110 100 100 100\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 2 91\n",
"2\n1 0\n",
"2\n19 5\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 16 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 116 75\n",
"6\n4 5 5 5 5 6\n",
"5\n1 1 1 1 6\n",
"3\n1 1 1\n",
"4\n6 6 5 1\n",
"2\n1 2\n",
"4\n1 3 2 1\n",
"20\n0 2 2 2 4 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 0 1 7 1 1 2\n",
"10\n5 5 5 5 5 5 5 5 5 0\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 6 1 22 37 13 10 9 45 28 2 41 21 36 3 4 41 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"6\n4 5 5 5 5 10\n",
"6\n4 0 4 4 4 9\n",
"3\n2 3 1\n",
"1\n2\n",
"50\n2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 0 1 1 2 2 1 1 2 1 1 1 1\n",
"2\n1 5\n",
"10\n1 2 2 2 2 2 1 4 2 1\n",
"10\n2 2 4 4 1 1 1 2 3 2\n",
"3\n2 4 1\n",
"3\n1 2 4\n",
"5\n1 2 1 3 4\n",
"5\n2 2 2 4 3\n",
"25\n2 2 0 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 1 3\n",
"5\n2 2 3 2 1\n",
"5\n1 1 2 5 1\n",
"3\n0 0 6\n",
"10\n7 7 7 7 7 10 7 7 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 9 3 11 2 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 0 3 3 2 4\n",
"5\n2 1 1 1 6\n",
"100\n1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 0 2 2 2 2 2 2 2\n",
"3\n1 2 1\n",
"4\n6 6 5 2\n",
"4\n1 8 3 4\n",
"4\n1 3 2 0\n",
"20\n0 2 2 2 4 2 0 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 0 1 7 0 1 2\n",
"4\n2 1 1 5\n",
"100\n40 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 13 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"77\n1 2 3 4 5 6 7 8 9 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 5 7 7 7 7 7 7\n",
"5\n2 4 4 4 6\n",
"10\n4 5 5 5 5 5 5 5 5 0\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 7 10 10 6 9 2 3 9 9 9\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 6 1 22 37 13 10 9 45 28 2 41 21 36 3 4 17 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 29 2 6 16 16 17 18 6 7 19 13 6 3 8 21 13 7 1 14 11\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 25 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 7 3\n",
"6\n5 0 4 4 4 9\n",
"3\n2 0 1\n",
"50\n2 2 2 2 3 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 0 1 1 2 2 1 1 2 1 1 1 1\n",
"2\n1 7\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 68 3\n",
"20\n10 7 1 5 9 3 10 9 9 2 9 8 5 18 9 20 4 9 9 9\n",
"10\n1 2 2 2 0 2 1 4 2 1\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 38 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 27 25 25 25 25\n",
"10\n2 2 4 4 1 1 1 0 3 2\n",
"3\n2 5 1\n",
"3\n2 1 4\n",
"5\n1 2 0 3 4\n",
"5\n2 2 3 4 3\n",
"25\n2 2 0 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 2 3\n",
"5\n2 2 3 2 0\n",
"5\n1 1 2 5 2\n",
"3\n-1 0 6\n",
"10\n7 7 7 7 7 10 7 4 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 9 3 11 2 8 12 15 1 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 110 100 100 100 100 100 100 000 100 100 100 100 100 100 100 110 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 3 2 2 3 2 1 2 0 3 3 2 4\n",
"5\n2 1 1 2 6\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 26 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 2 91\n"
],
"output": [
"5\n",
"5\n",
"7\n",
"15\n",
"22\n",
"201\n",
"10\n",
"3\n",
"102\n",
"3\n",
"5\n",
"3\n",
"12\n",
"3\n",
"21\n",
"6\n",
"4\n",
"4\n",
"7\n",
"4\n",
"101\n",
"151\n",
"12\n",
"8\n",
"11\n",
"12\n",
"100\n",
"22\n",
"10\n",
"15\n",
"10\n",
"4\n",
"3\n",
"201\n",
"5\n",
"201\n",
"6\n",
"49\n",
"20\n",
"4\n",
"51\n",
"5\n",
"5\n",
"5\n",
"5\n",
"5\n",
"5\n",
"6\n",
"14\n",
"22\n",
"201\n",
"10\n",
"102\n",
"3\n",
"4\n",
"34\n",
"7\n",
"5\n",
"100\n",
"151\n",
"12\n",
"9\n",
"13\n",
"29\n",
"15\n",
"68\n",
"20\n",
"51\n",
"199\n",
"101\n",
"2\n",
"25\n",
"150\n",
"11\n",
"6\n",
"3\n",
"10\n",
"4\n",
"4\n",
"4\n",
"7\n",
"10\n",
"100\n",
"12\n",
"9\n",
"5\n",
"5\n",
"5\n",
"7\n",
"4\n",
"5\n",
"5\n",
"5\n",
"5\n",
"6\n",
"5\n",
"5\n",
"5\n",
"6\n",
"14\n",
"22\n",
"10\n",
"6\n",
"3\n",
"4\n",
"3\n",
"10\n",
"9\n",
"4\n",
"4\n",
"7\n",
"5\n",
"100\n",
"12\n",
"9\n",
"9\n",
"12\n",
"100\n",
"29\n",
"25\n",
"9\n",
"3\n",
"5\n",
"9\n",
"68\n",
"20\n",
"4\n",
"51\n",
"5\n",
"6\n",
"5\n",
"5\n",
"6\n",
"5\n",
"4\n",
"5\n",
"6\n",
"14\n",
"22\n",
"199\n",
"10\n",
"6\n",
"101\n"
]
} | 2CODEFORCES
|
1043_A. Elections_307 | Awruk is taking part in elections in his school. It is the final round. He has only one opponent — Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 ≤ k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n — how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n — how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of students in the school.
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 100) — the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k ≥ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip. | import math
n = int(input())
l= list(map(int,input().split()))
s = 2*sum(l)
z= s/n
p = max(l)
an = int(z+1)
print(max(p,an)) | 3Python3
| {
"input": [
"5\n2 2 3 2 2\n",
"5\n1 1 1 5 1\n",
"3\n1 2 6\n",
"10\n7 7 7 7 7 7 7 7 7 7\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 1 3 5 2 4\n",
"5\n1 1 1 1 3\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n",
"100\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 2 2 2 2 2 2 2 2\n",
"3\n1 1 2\n",
"4\n6 6 5 5\n",
"2\n1 1\n",
"2\n15 5\n",
"4\n1 2 3 4\n",
"4\n1 2 2 1\n",
"20\n2 2 2 2 4 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 1 1 7 1 1 2\n",
"4\n1 1 1 3\n",
"100\n50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75\n",
"77\n1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 7 7 7 7 7 7 7\n",
"5\n4 4 4 4 3\n",
"10\n5 5 5 5 5 5 5 5 5 5\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 9 10 10 6 6 2 3 9 9 9\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 3 1 22 37 13 10 9 45 28 2 41 21 36 3 4 41 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11\n",
"6\n4 5 5 5 5 5\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 14 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 6 3\n",
"6\n4 4 4 4 4 9\n",
"3\n2 2 1\n",
"1\n1\n",
"2\n100 100\n",
"50\n2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 1\n",
"1\n100\n",
"2\n1 4\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 38 7\n",
"20\n10 7 1 9 9 3 10 9 9 2 9 8 5 10 9 20 4 9 9 9\n",
"10\n1 2 2 2 2 2 1 2 2 1\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25\n",
"10\n2 2 4 4 3 1 1 2 3 2\n",
"3\n1 4 1\n",
"3\n1 1 4\n",
"5\n1 1 1 3 4\n",
"5\n2 2 2 3 3\n",
"25\n2 2 3 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 1 3\n",
"3\n1 0 6\n",
"10\n7 7 7 7 7 7 7 7 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 2 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 110 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 1 3 3 2 4\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n",
"100\n1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 1 2 2 2 2 2 2 2\n",
"2\n28 5\n",
"4\n1 4 3 4\n",
"4\n1 1 1 5\n",
"100\n50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 13 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 116 75\n",
"77\n1 2 3 4 5 6 7 8 9 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 7 7 7 7 7 7 7\n",
"5\n4 4 4 4 6\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 9 10 10 6 9 2 3 9 9 9\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 29 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 14 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 7 3\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 68 7\n",
"20\n10 7 1 9 9 3 10 9 9 2 9 8 5 18 9 20 4 9 9 9\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 38 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 000 100 100 100 100 100 100 100 110 100 100 100\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 2 91\n",
"2\n1 0\n",
"2\n19 5\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 16 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 116 75\n",
"6\n4 5 5 5 5 6\n",
"5\n1 1 1 1 6\n",
"3\n1 1 1\n",
"4\n6 6 5 1\n",
"2\n1 2\n",
"4\n1 3 2 1\n",
"20\n0 2 2 2 4 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 0 1 7 1 1 2\n",
"10\n5 5 5 5 5 5 5 5 5 0\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 6 1 22 37 13 10 9 45 28 2 41 21 36 3 4 41 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"6\n4 5 5 5 5 10\n",
"6\n4 0 4 4 4 9\n",
"3\n2 3 1\n",
"1\n2\n",
"50\n2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 0 1 1 2 2 1 1 2 1 1 1 1\n",
"2\n1 5\n",
"10\n1 2 2 2 2 2 1 4 2 1\n",
"10\n2 2 4 4 1 1 1 2 3 2\n",
"3\n2 4 1\n",
"3\n1 2 4\n",
"5\n1 2 1 3 4\n",
"5\n2 2 2 4 3\n",
"25\n2 2 0 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 1 3\n",
"5\n2 2 3 2 1\n",
"5\n1 1 2 5 1\n",
"3\n0 0 6\n",
"10\n7 7 7 7 7 10 7 7 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 9 3 11 2 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 0 3 3 2 4\n",
"5\n2 1 1 1 6\n",
"100\n1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 0 2 2 2 2 2 2 2\n",
"3\n1 2 1\n",
"4\n6 6 5 2\n",
"4\n1 8 3 4\n",
"4\n1 3 2 0\n",
"20\n0 2 2 2 4 2 0 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 0 1 7 0 1 2\n",
"4\n2 1 1 5\n",
"100\n40 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 13 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"77\n1 2 3 4 5 6 7 8 9 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 5 7 7 7 7 7 7\n",
"5\n2 4 4 4 6\n",
"10\n4 5 5 5 5 5 5 5 5 0\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 7 10 10 6 9 2 3 9 9 9\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 6 1 22 37 13 10 9 45 28 2 41 21 36 3 4 17 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 29 2 6 16 16 17 18 6 7 19 13 6 3 8 21 13 7 1 14 11\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 25 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 7 3\n",
"6\n5 0 4 4 4 9\n",
"3\n2 0 1\n",
"50\n2 2 2 2 3 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 0 1 1 2 2 1 1 2 1 1 1 1\n",
"2\n1 7\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 68 3\n",
"20\n10 7 1 5 9 3 10 9 9 2 9 8 5 18 9 20 4 9 9 9\n",
"10\n1 2 2 2 0 2 1 4 2 1\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 38 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 27 25 25 25 25\n",
"10\n2 2 4 4 1 1 1 0 3 2\n",
"3\n2 5 1\n",
"3\n2 1 4\n",
"5\n1 2 0 3 4\n",
"5\n2 2 3 4 3\n",
"25\n2 2 0 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 2 3\n",
"5\n2 2 3 2 0\n",
"5\n1 1 2 5 2\n",
"3\n-1 0 6\n",
"10\n7 7 7 7 7 10 7 4 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 9 3 11 2 8 12 15 1 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 110 100 100 100 100 100 100 000 100 100 100 100 100 100 100 110 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 3 2 2 3 2 1 2 0 3 3 2 4\n",
"5\n2 1 1 2 6\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 26 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 2 91\n"
],
"output": [
"5\n",
"5\n",
"7\n",
"15\n",
"22\n",
"201\n",
"10\n",
"3\n",
"102\n",
"3\n",
"5\n",
"3\n",
"12\n",
"3\n",
"21\n",
"6\n",
"4\n",
"4\n",
"7\n",
"4\n",
"101\n",
"151\n",
"12\n",
"8\n",
"11\n",
"12\n",
"100\n",
"22\n",
"10\n",
"15\n",
"10\n",
"4\n",
"3\n",
"201\n",
"5\n",
"201\n",
"6\n",
"49\n",
"20\n",
"4\n",
"51\n",
"5\n",
"5\n",
"5\n",
"5\n",
"5\n",
"5\n",
"6\n",
"14\n",
"22\n",
"201\n",
"10\n",
"102\n",
"3\n",
"4\n",
"34\n",
"7\n",
"5\n",
"100\n",
"151\n",
"12\n",
"9\n",
"13\n",
"29\n",
"15\n",
"68\n",
"20\n",
"51\n",
"199\n",
"101\n",
"2\n",
"25\n",
"150\n",
"11\n",
"6\n",
"3\n",
"10\n",
"4\n",
"4\n",
"4\n",
"7\n",
"10\n",
"100\n",
"12\n",
"9\n",
"5\n",
"5\n",
"5\n",
"7\n",
"4\n",
"5\n",
"5\n",
"5\n",
"5\n",
"6\n",
"5\n",
"5\n",
"5\n",
"6\n",
"14\n",
"22\n",
"10\n",
"6\n",
"3\n",
"4\n",
"3\n",
"10\n",
"9\n",
"4\n",
"4\n",
"7\n",
"5\n",
"100\n",
"12\n",
"9\n",
"9\n",
"12\n",
"100\n",
"29\n",
"25\n",
"9\n",
"3\n",
"5\n",
"9\n",
"68\n",
"20\n",
"4\n",
"51\n",
"5\n",
"6\n",
"5\n",
"5\n",
"6\n",
"5\n",
"4\n",
"5\n",
"6\n",
"14\n",
"22\n",
"199\n",
"10\n",
"6\n",
"101\n"
]
} | 2CODEFORCES
|
1043_A. Elections_308 | Awruk is taking part in elections in his school. It is the final round. He has only one opponent — Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 ≤ k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n — how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n — how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of students in the school.
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 100) — the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k ≥ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip. | 'use strict';
const n = Number(readline());
const a = readline().split(' ').map(Number);
let votes = 0;
let max_a = 0;
for (let i = 0; i < n; i++) {
max_a = Math.max(max_a, a[i]);
votes += a[i];
}
print(Math.max(Math.ceil((2 * votes + 1) / n), max_a)); | 4JAVA
| {
"input": [
"5\n2 2 3 2 2\n",
"5\n1 1 1 5 1\n",
"3\n1 2 6\n",
"10\n7 7 7 7 7 7 7 7 7 7\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 1 3 5 2 4\n",
"5\n1 1 1 1 3\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n",
"100\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 2 2 2 2 2 2 2 2\n",
"3\n1 1 2\n",
"4\n6 6 5 5\n",
"2\n1 1\n",
"2\n15 5\n",
"4\n1 2 3 4\n",
"4\n1 2 2 1\n",
"20\n2 2 2 2 4 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 1 1 7 1 1 2\n",
"4\n1 1 1 3\n",
"100\n50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75\n",
"77\n1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 7 7 7 7 7 7 7\n",
"5\n4 4 4 4 3\n",
"10\n5 5 5 5 5 5 5 5 5 5\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 9 10 10 6 6 2 3 9 9 9\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 3 1 22 37 13 10 9 45 28 2 41 21 36 3 4 41 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11\n",
"6\n4 5 5 5 5 5\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 14 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 6 3\n",
"6\n4 4 4 4 4 9\n",
"3\n2 2 1\n",
"1\n1\n",
"2\n100 100\n",
"50\n2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 1\n",
"1\n100\n",
"2\n1 4\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 38 7\n",
"20\n10 7 1 9 9 3 10 9 9 2 9 8 5 10 9 20 4 9 9 9\n",
"10\n1 2 2 2 2 2 1 2 2 1\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25\n",
"10\n2 2 4 4 3 1 1 2 3 2\n",
"3\n1 4 1\n",
"3\n1 1 4\n",
"5\n1 1 1 3 4\n",
"5\n2 2 2 3 3\n",
"25\n2 2 3 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 1 3\n",
"3\n1 0 6\n",
"10\n7 7 7 7 7 7 7 7 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 2 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 110 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 1 3 3 2 4\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n",
"100\n1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 1 2 2 2 2 2 2 2\n",
"2\n28 5\n",
"4\n1 4 3 4\n",
"4\n1 1 1 5\n",
"100\n50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 13 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 116 75\n",
"77\n1 2 3 4 5 6 7 8 9 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 7 7 7 7 7 7 7\n",
"5\n4 4 4 4 6\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 9 10 10 6 9 2 3 9 9 9\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 29 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 14 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 7 3\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 68 7\n",
"20\n10 7 1 9 9 3 10 9 9 2 9 8 5 18 9 20 4 9 9 9\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 38 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 000 100 100 100 100 100 100 100 110 100 100 100\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 2 91\n",
"2\n1 0\n",
"2\n19 5\n",
"100\n75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 16 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 116 75\n",
"6\n4 5 5 5 5 6\n",
"5\n1 1 1 1 6\n",
"3\n1 1 1\n",
"4\n6 6 5 1\n",
"2\n1 2\n",
"4\n1 3 2 1\n",
"20\n0 2 2 2 4 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 0 1 7 1 1 2\n",
"10\n5 5 5 5 5 5 5 5 5 0\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 6 1 22 37 13 10 9 45 28 2 41 21 36 3 4 41 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"6\n4 5 5 5 5 10\n",
"6\n4 0 4 4 4 9\n",
"3\n2 3 1\n",
"1\n2\n",
"50\n2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 0 1 1 2 2 1 1 2 1 1 1 1\n",
"2\n1 5\n",
"10\n1 2 2 2 2 2 1 4 2 1\n",
"10\n2 2 4 4 1 1 1 2 3 2\n",
"3\n2 4 1\n",
"3\n1 2 4\n",
"5\n1 2 1 3 4\n",
"5\n2 2 2 4 3\n",
"25\n2 2 0 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 1 3\n",
"5\n2 2 3 2 1\n",
"5\n1 1 2 5 1\n",
"3\n0 0 6\n",
"10\n7 7 7 7 7 10 7 7 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 9 3 11 2 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"20\n3 3 5 2 10 1 2 1 2 2 2 3 2 1 2 0 3 3 2 4\n",
"5\n2 1 1 1 6\n",
"100\n1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 0 2 2 2 2 2 2 2\n",
"3\n1 2 1\n",
"4\n6 6 5 2\n",
"4\n1 8 3 4\n",
"4\n1 3 2 0\n",
"20\n0 2 2 2 4 2 0 2 2 2 1 1 2 2 2 1 1 2 1 1\n",
"7\n1 0 1 7 0 1 2\n",
"4\n2 1 1 5\n",
"100\n40 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 13 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50\n",
"77\n1 2 3 4 5 6 7 8 9 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 5 7 7 7 7 7 7\n",
"5\n2 4 4 4 6\n",
"10\n4 5 5 5 5 5 5 5 5 0\n",
"25\n3 3 5 9 9 3 2 9 10 2 3 2 3 6 5 7 10 10 6 9 2 3 9 9 9\n",
"100\n26 32 47 42 13 36 42 9 16 37 9 49 42 46 47 49 26 20 37 29 38 2 6 1 22 37 13 10 9 45 28 2 41 21 36 3 4 17 13 14 39 41 7 22 21 15 21 17 17 21 34 35 4 12 49 5 12 31 37 28 37 3 24 14 42 22 50 20 27 32 10 12 19 27 8 16 29 8 40 15 42 23 49 46 31 14 9 30 100 8 48 9 44 39 25 43 50 47 31 3\n",
"75\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 11 3 11 3 8 12 15 2 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 29 2 6 16 16 17 18 6 7 19 13 6 3 8 21 13 7 1 14 11\n",
"50\n12 5 4 3 4 4 9 2 14 13 1 6 6 6 6 3 1 25 1 10 4 9 12 3 1 6 5 6 9 14 4 1 10 5 15 8 5 11 13 2 10 11 8 12 8 15 2 8 7 3\n",
"6\n5 0 4 4 4 9\n",
"3\n2 0 1\n",
"50\n2 2 2 2 3 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 5 1 2 1 2 1 1 1 2 0 1 1 2 2 1 1 2 1 1 1 1\n",
"2\n1 7\n",
"20\n10 20 26 13 8 23 47 47 20 49 22 6 43 7 34 1 18 48 68 3\n",
"20\n10 7 1 5 9 3 10 9 9 2 9 8 5 18 9 20 4 9 9 9\n",
"10\n1 2 2 2 0 2 1 4 2 1\n",
"100\n25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 38 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 27 25 25 25 25\n",
"10\n2 2 4 4 1 1 1 0 3 2\n",
"3\n2 5 1\n",
"3\n2 1 4\n",
"5\n1 2 0 3 4\n",
"5\n2 2 3 4 3\n",
"25\n2 2 0 3 2 3 1 2 1 3 3 2 3 3 2 1 1 3 1 2 3 3 1 2 3\n",
"5\n2 2 3 2 0\n",
"5\n1 1 2 5 2\n",
"3\n-1 0 6\n",
"10\n7 7 7 7 7 10 7 4 7 3\n",
"76\n13 13 5 6 20 20 6 1 18 18 13 15 20 3 9 9 3 11 2 8 12 15 1 4 16 17 8 11 15 6 6 5 3 12 19 15 17 8 5 20 12 6 9 7 20 15 8 7 5 17 9 12 12 17 12 16 2 6 16 16 17 18 6 7 19 13 6 3 8 16 13 7 1 14 11 9\n",
"100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 110 100 100 100 100 100 100 000 100 100 100 100 100 100 100 110 100 100 100\n",
"20\n3 3 5 2 10 1 2 1 3 2 2 3 2 1 2 0 3 3 2 4\n",
"5\n2 1 1 2 6\n",
"100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 3 38 71 45 97 71 26 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 2 91\n"
],
"output": [
"5\n",
"5\n",
"7\n",
"15\n",
"22\n",
"201\n",
"10\n",
"3\n",
"102\n",
"3\n",
"5\n",
"3\n",
"12\n",
"3\n",
"21\n",
"6\n",
"4\n",
"4\n",
"7\n",
"4\n",
"101\n",
"151\n",
"12\n",
"8\n",
"11\n",
"12\n",
"100\n",
"22\n",
"10\n",
"15\n",
"10\n",
"4\n",
"3\n",
"201\n",
"5\n",
"201\n",
"6\n",
"49\n",
"20\n",
"4\n",
"51\n",
"5\n",
"5\n",
"5\n",
"5\n",
"5\n",
"5\n",
"6\n",
"14\n",
"22\n",
"201\n",
"10\n",
"102\n",
"3\n",
"4\n",
"34\n",
"7\n",
"5\n",
"100\n",
"151\n",
"12\n",
"9\n",
"13\n",
"29\n",
"15\n",
"68\n",
"20\n",
"51\n",
"199\n",
"101\n",
"2\n",
"25\n",
"150\n",
"11\n",
"6\n",
"3\n",
"10\n",
"4\n",
"4\n",
"4\n",
"7\n",
"10\n",
"100\n",
"12\n",
"9\n",
"5\n",
"5\n",
"5\n",
"7\n",
"4\n",
"5\n",
"5\n",
"5\n",
"5\n",
"6\n",
"5\n",
"5\n",
"5\n",
"6\n",
"14\n",
"22\n",
"10\n",
"6\n",
"3\n",
"4\n",
"3\n",
"10\n",
"9\n",
"4\n",
"4\n",
"7\n",
"5\n",
"100\n",
"12\n",
"9\n",
"9\n",
"12\n",
"100\n",
"29\n",
"25\n",
"9\n",
"3\n",
"5\n",
"9\n",
"68\n",
"20\n",
"4\n",
"51\n",
"5\n",
"6\n",
"5\n",
"5\n",
"6\n",
"5\n",
"4\n",
"5\n",
"6\n",
"14\n",
"22\n",
"199\n",
"10\n",
"6\n",
"101\n"
]
} | 2CODEFORCES
|
1065_F. Up and Down the Tree_309 | You are given a tree with n vertices; its root is vertex 1. Also there is a token, initially placed in the root. You can move the token to other vertices. Let's assume current vertex of token is v, then you make any of the following two possible moves:
* move down to any leaf in subtree of v;
* if vertex v is a leaf, then move up to the parent no more than k times. In other words, if h(v) is the depth of vertex v (the depth of the root is 0), then you can move to vertex to such that to is an ancestor of v and h(v) - k ≤ h(to).
Consider that root is not a leaf (even if its degree is 1). Calculate the maximum number of different leaves you can visit during one sequence of moves.
Input
The first line contains two integers n and k (1 ≤ k < n ≤ 10^6) — the number of vertices in the tree and the restriction on moving up, respectively.
The second line contains n - 1 integers p_2, p_3, ..., p_n, where p_i is the parent of vertex i.
It is guaranteed that the input represents a valid tree, rooted at 1.
Output
Print one integer — the maximum possible number of different leaves you can visit.
Examples
Input
7 1
1 1 3 3 4 4
Output
4
Input
8 2
1 1 2 3 4 5 5
Output
2
Note
The graph from the first example:
<image>
One of the optimal ways is the next one: 1 → 2 → 1 → 5 → 3 → 7 → 4 → 6.
The graph from the second example:
<image>
One of the optimal ways is the next one: 1 → 7 → 5 → 8. Note that there is no way to move from 6 to 7 or 8 and vice versa. | #include <bits/stdc++.h>
using namespace std;
int read() {
char c = getchar();
int x = 0;
while (c < '0' || c > '9') c = getchar();
while (c >= '0' && c <= '9') x = x * 10 + (c - '0'), c = getchar();
return x;
}
void MOD(int &x) {
if (x >= 998244353) x -= 998244353;
}
int m;
int l, nxt[1000010], head[1000010], to[1000010];
void add(int x, int y) {
l++;
nxt[l] = head[x];
head[x] = l;
to[l] = y;
}
int low[1000010], f[1000010], d[1000010];
void dfs(int x) {
low[x] = (1 << 30);
bool fl = 1;
for (int i = head[x]; i; i = nxt[i]) {
int c = to[i];
d[c] = d[x] + 1;
dfs(c);
if (low[c] - d[x] <= m) {
f[x] += f[c];
f[c] = 0;
}
low[x] = min(low[x], low[c]);
fl = 0;
}
if (fl) low[x] = d[x], f[x] = 1;
}
int getans(int x) {
int ans = 0;
for (int i = head[x]; i; i = nxt[i]) {
int c = to[i];
ans = max(ans, getans(c));
}
return ans + f[x];
}
int main() {
int n;
n = read();
m = read();
for (int i = 2; i <= n; i++) add(read(), i);
dfs(1);
printf("%d\n", getans(1));
}
| 2C++
| {
"input": [
"8 2\n1 1 2 3 4 5 5\n",
"7 1\n1 1 3 3 4 4\n",
"30 2\n26 11 22 16 14 29 16 14 8 23 21 22 11 24 15 23 22 1 11 20 23 29 13 19 19 15 13 2 7\n",
"30 1\n19 20 10 21 9 26 20 21 30 12 25 25 2 1 10 3 19 12 18 12 30 18 22 1 18 18 30 30 12\n",
"30 1\n1 22 24 24 2 25 5 2 22 3 1 1 26 22 15 16 17 24 24 3 24 26 9 2 5 26 4 24 27\n",
"30 2\n7 7 12 11 23 22 4 24 27 2 18 1 27 24 7 20 13 12 27 19 12 26 19 18 22 19 18 25 10\n",
"30 3\n20 8 20 11 25 18 26 2 17 20 20 18 19 12 21 29 28 17 18 1 30 19 16 11 28 29 21 28 4\n",
"30 1\n16 12 7 12 27 1 1 7 16 10 19 7 1 13 1 16 11 13 18 4 8 13 18 16 9 4 17 16 18\n",
"30 3\n22 29 23 8 27 29 3 16 2 1 3 8 9 1 29 30 29 18 29 27 8 27 26 13 29 18 15 11 18\n",
"30 2\n1 28 16 24 19 15 15 22 27 28 18 2 17 22 2 1 28 23 23 15 1 7 29 20 24 7 8 15 15\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 5 22 8 10 7 16 21 8 4 7 2 17 2 23 16 23 25 11\n",
"30 2\n7 5 3 22 16 3 28 19 28 30 23 9 7 8 27 19 22 5 13 3 30 5 22 23 3 19 16 22 1\n",
"30 1\n8 18 7 24 11 20 18 3 23 3 18 4 5 27 27 9 22 23 18 24 1 15 3 30 23 28 18 2 21\n",
"30 2\n30 25 18 28 24 16 18 18 25 8 24 21 25 3 18 25 22 3 15 22 1 6 22 9 8 1 29 12 3\n",
"30 1\n17 26 7 18 27 18 26 29 24 9 28 5 6 25 18 15 8 24 24 15 15 25 18 1 25 8 8 25 27\n",
"30 3\n10 29 27 8 17 16 4 22 8 6 14 21 4 22 10 22 3 27 22 22 1 27 4 27 5 17 27 4 3\n",
"30 2\n13 25 22 9 30 18 28 21 15 15 23 23 28 17 28 30 22 30 10 23 2 1 23 1 17 17 23 13 23\n",
"30 1\n25 28 21 13 2 1 18 30 2 25 1 1 30 4 23 7 7 25 7 25 4 25 25 7 6 5 23 16 21\n",
"30 3\n14 29 29 8 22 28 30 8 4 21 13 11 1 7 19 21 2 1 24 1 28 14 22 27 21 30 11 28 26\n",
"30 3\n9 6 9 10 12 15 22 1 9 2 17 23 12 12 9 16 29 8 10 9 6 3 9 14 22 4 19 12 20\n",
"30 1\n19 20 10 21 9 1 20 21 30 12 25 25 2 1 10 3 19 12 18 12 30 18 22 1 18 18 30 30 12\n",
"30 1\n29 12 7 12 27 1 1 7 16 10 19 7 1 13 1 16 11 13 18 4 8 13 18 16 9 4 17 16 18\n",
"30 3\n23 29 23 8 27 29 3 16 2 1 3 8 9 1 29 30 29 18 29 27 8 27 26 13 29 18 15 11 18\n",
"30 2\n1 28 16 24 19 15 15 22 27 28 18 2 29 22 2 1 28 23 23 15 1 7 29 20 24 7 8 15 15\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 5 22 8 10 7 16 21 8 4 7 2 17 4 23 16 23 25 11\n",
"30 2\n30 25 18 1 24 16 18 18 25 8 24 21 25 3 18 25 22 3 15 22 1 6 22 9 8 1 29 12 3\n",
"30 3\n10 29 27 8 17 16 4 22 8 6 14 3 4 22 10 22 3 27 22 22 1 27 4 27 5 17 27 4 3\n",
"30 1\n25 28 17 13 2 1 18 30 2 25 1 1 30 4 23 7 7 25 7 25 4 25 25 7 6 5 23 16 21\n",
"8 2\n1 1 2 5 4 5 5\n",
"30 2\n7 7 12 11 23 22 4 24 27 2 18 1 30 24 7 20 13 12 27 19 12 26 19 18 16 19 18 25 10\n",
"30 3\n23 29 23 8 27 29 3 16 2 1 5 8 9 1 29 30 29 18 29 27 8 27 26 13 29 18 15 11 18\n",
"7 1\n1 1 3 3 1 4\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 5 22 8 10 7 16 1 8 4 7 2 17 4 23 16 23 10 11\n",
"30 2\n7 7 12 11 23 22 4 24 27 2 18 1 30 24 7 20 13 12 27 19 12 26 19 18 22 19 18 25 10\n",
"30 1\n8 18 3 24 11 20 18 3 23 3 18 4 5 27 27 9 22 23 18 24 1 15 3 30 23 28 18 2 21\n",
"30 3\n14 29 29 8 22 28 30 14 4 21 13 11 1 7 19 21 2 1 24 1 28 14 22 27 21 30 11 28 26\n",
"7 1\n1 1 3 3 5 4\n",
"30 1\n29 12 7 12 27 1 1 7 16 10 19 7 1 13 1 16 11 13 18 4 8 13 18 16 9 1 17 16 18\n",
"30 2\n1 28 16 24 19 15 15 22 27 28 10 2 29 22 2 1 28 23 23 15 1 7 29 20 24 7 8 15 15\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 5 22 8 10 7 16 21 8 4 7 2 17 4 23 16 23 10 11\n",
"30 1\n8 18 3 24 11 20 18 3 23 3 18 4 5 27 27 9 22 23 18 24 1 15 6 30 23 28 18 2 21\n",
"30 1\n25 28 25 13 2 1 18 30 2 25 1 1 30 4 23 7 7 25 7 25 4 25 25 7 6 5 23 16 21\n",
"30 3\n14 29 10 8 22 28 30 14 4 21 13 11 1 7 19 21 2 1 24 1 28 14 22 27 21 30 11 28 26\n",
"30 2\n7 7 12 11 23 22 4 24 27 2 18 1 30 24 7 20 13 12 27 19 12 26 19 18 27 19 18 25 10\n",
"30 1\n8 18 3 24 11 20 18 3 23 3 18 4 6 27 27 9 22 23 18 24 1 15 6 30 23 28 18 2 21\n",
"30 1\n25 28 25 13 2 1 18 30 2 25 1 1 30 2 23 7 7 25 7 25 4 25 25 7 6 5 23 16 21\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 10 22 8 10 7 16 1 8 4 7 2 17 4 23 16 23 10 11\n",
"30 1\n8 18 3 24 11 20 18 3 23 3 18 4 6 27 27 9 22 9 18 24 1 15 6 30 23 28 18 2 21\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 10 22 8 4 7 16 1 8 4 7 2 17 4 23 16 23 10 11\n",
"30 1\n8 18 3 24 11 20 18 1 23 3 18 4 6 27 27 9 22 9 18 24 1 15 6 30 23 28 18 2 21\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 10 22 8 4 7 16 1 8 4 13 2 17 4 23 16 23 10 11\n",
"30 2\n26 11 22 16 1 29 16 14 8 23 21 22 11 24 15 23 22 1 11 20 23 29 13 19 19 15 13 2 7\n"
],
"output": [
"2",
"4",
"12",
"7",
"10",
"12",
"13",
"7",
"14",
"9",
"10",
"15",
"5",
"12",
"6",
"16",
"15",
"8",
"13",
"12",
"9\n",
"5\n",
"15\n",
"12\n",
"10\n",
"13\n",
"17\n",
"7\n",
"2\n",
"8\n",
"14\n",
"4\n",
"11\n",
"9\n",
"5\n",
"13\n",
"2\n",
"5\n",
"12\n",
"10\n",
"5\n",
"8\n",
"12\n",
"9\n",
"5\n",
"9\n",
"13\n",
"4\n",
"13\n",
"4\n",
"2\n",
"12\n"
]
} | 2CODEFORCES
|
1065_F. Up and Down the Tree_310 | You are given a tree with n vertices; its root is vertex 1. Also there is a token, initially placed in the root. You can move the token to other vertices. Let's assume current vertex of token is v, then you make any of the following two possible moves:
* move down to any leaf in subtree of v;
* if vertex v is a leaf, then move up to the parent no more than k times. In other words, if h(v) is the depth of vertex v (the depth of the root is 0), then you can move to vertex to such that to is an ancestor of v and h(v) - k ≤ h(to).
Consider that root is not a leaf (even if its degree is 1). Calculate the maximum number of different leaves you can visit during one sequence of moves.
Input
The first line contains two integers n and k (1 ≤ k < n ≤ 10^6) — the number of vertices in the tree and the restriction on moving up, respectively.
The second line contains n - 1 integers p_2, p_3, ..., p_n, where p_i is the parent of vertex i.
It is guaranteed that the input represents a valid tree, rooted at 1.
Output
Print one integer — the maximum possible number of different leaves you can visit.
Examples
Input
7 1
1 1 3 3 4 4
Output
4
Input
8 2
1 1 2 3 4 5 5
Output
2
Note
The graph from the first example:
<image>
One of the optimal ways is the next one: 1 → 2 → 1 → 5 → 3 → 7 → 4 → 6.
The graph from the second example:
<image>
One of the optimal ways is the next one: 1 → 7 → 5 → 8. Note that there is no way to move from 6 to 7 or 8 and vice versa. | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.util.Arrays;
import java.io.IOException;
import java.io.UncheckedIOException;
import java.io.Closeable;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) throws Exception {
Thread thread = new Thread(null, new TaskAdapter(), "", 1 << 28);
thread.start();
thread.join();
}
static class TaskAdapter implements Runnable {
@Override
public void run() {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
FastInput in = new FastInput(inputStream);
FastOutput out = new FastOutput(outputStream);
FUpAndDownTheTree solver = new FUpAndDownTheTree();
solver.solve(1, in, out);
out.close();
}
}
static class FUpAndDownTheTree {
int[][] dp;
MultiWayIntegerStack edges;
int[] depths;
int[] nearestDepths;
int[] degrees;
boolean[] isLeaves;
int k;
int inf = (int) 1e8;
public void solve(int testNumber, FastInput in, FastOutput out) {
int n = in.readInt();
k = in.readInt();
dp = new int[2][n];
edges = new MultiWayIntegerStack(n, 2 * n);
depths = new int[n];
nearestDepths = new int[n];
degrees = new int[n];
isLeaves = new boolean[n];
for (int i = 1; i < n; i++) {
int p = in.readInt() - 1;
edges.addLast(i, p);
edges.addLast(p, i);
degrees[i]++;
degrees[p]++;
}
for (int i = 1; i < n; i++) {
if (degrees[i] == 1) {
isLeaves[i] = true;
}
}
dfsForDepth(0, -1, 0);
dfsForDp(0, -1);
int ans = dp[0][0];
out.println(ans);
}
public void dfsForDepth(int root, int p, int depth) {
depths[root] = depth;
nearestDepths[root] = inf;
if (isLeaves[root]) {
nearestDepths[root] = depth;
}
for (IntegerIterator iterator = edges.iterator(root); iterator.hasNext(); ) {
int node = iterator.next();
if (node == p) {
continue;
}
dfsForDepth(node, root, depth + 1);
nearestDepths[root] = Math.min(nearestDepths[root], nearestDepths[node]);
}
}
public void dfsForDp(int root, int p) {
int maxDiff = 0;
if (isLeaves[root]) {
dp[1][root] = 1;
}
for (IntegerIterator iterator = edges.iterator(root); iterator.hasNext(); ) {
int node = iterator.next();
if (node == p) {
continue;
}
dfsForDp(node, root);
maxDiff = Math.max(dp[0][node] - dp[1][node], maxDiff);
dp[1][root] += dp[1][node];
}
dp[0][root] = dp[1][root] + maxDiff;
if (nearestDepths[root] - (depths[root] - 1) > k) {
dp[1][root] = 0;
}
}
}
static class FastOutput implements AutoCloseable, Closeable {
private StringBuilder cache = new StringBuilder(10 << 20);
private final Writer os;
public FastOutput(Writer os) {
this.os = os;
}
public FastOutput(OutputStream os) {
this(new OutputStreamWriter(os));
}
public FastOutput println(int c) {
cache.append(c).append('\n');
return this;
}
public FastOutput flush() {
try {
os.append(cache);
os.flush();
cache.setLength(0);
} catch (IOException e) {
throw new UncheckedIOException(e);
}
return this;
}
public void close() {
flush();
try {
os.close();
} catch (IOException e) {
throw new UncheckedIOException(e);
}
}
public String toString() {
return cache.toString();
}
}
static interface IntegerIterator {
boolean hasNext();
int next();
}
static class MultiWayIntegerStack {
private int[] values;
private int[] next;
private int[] heads;
private int alloc;
private int stackNum;
public IntegerIterator iterator(final int queue) {
return new IntegerIterator() {
int ele = heads[queue];
public boolean hasNext() {
return ele != 0;
}
public int next() {
int ans = values[ele];
ele = next[ele];
return ans;
}
};
}
private void doubleCapacity() {
int newSize = Math.max(next.length + 10, next.length * 2);
next = Arrays.copyOf(next, newSize);
values = Arrays.copyOf(values, newSize);
}
public void alloc() {
alloc++;
if (alloc >= next.length) {
doubleCapacity();
}
next[alloc] = 0;
}
public MultiWayIntegerStack(int qNum, int totalCapacity) {
values = new int[totalCapacity + 1];
next = new int[totalCapacity + 1];
heads = new int[qNum];
stackNum = qNum;
}
public void addLast(int qId, int x) {
alloc();
values[alloc] = x;
next[alloc] = heads[qId];
heads[qId] = alloc;
}
public String toString() {
StringBuilder builder = new StringBuilder();
for (int i = 0; i < stackNum; i++) {
builder.append(i).append(": ");
for (IntegerIterator iterator = iterator(i); iterator.hasNext(); ) {
builder.append(iterator.next()).append(",");
}
if (builder.charAt(builder.length() - 1) == ',') {
builder.setLength(builder.length() - 1);
}
builder.append('\n');
}
return builder.toString();
}
}
static class FastInput {
private final InputStream is;
private byte[] buf = new byte[1 << 13];
private int bufLen;
private int bufOffset;
private int next;
public FastInput(InputStream is) {
this.is = is;
}
private int read() {
while (bufLen == bufOffset) {
bufOffset = 0;
try {
bufLen = is.read(buf);
} catch (IOException e) {
bufLen = -1;
}
if (bufLen == -1) {
return -1;
}
}
return buf[bufOffset++];
}
public void skipBlank() {
while (next >= 0 && next <= 32) {
next = read();
}
}
public int readInt() {
int sign = 1;
skipBlank();
if (next == '+' || next == '-') {
sign = next == '+' ? 1 : -1;
next = read();
}
int val = 0;
if (sign == 1) {
while (next >= '0' && next <= '9') {
val = val * 10 + next - '0';
next = read();
}
} else {
while (next >= '0' && next <= '9') {
val = val * 10 - next + '0';
next = read();
}
}
return val;
}
}
}
| 4JAVA
| {
"input": [
"8 2\n1 1 2 3 4 5 5\n",
"7 1\n1 1 3 3 4 4\n",
"30 2\n26 11 22 16 14 29 16 14 8 23 21 22 11 24 15 23 22 1 11 20 23 29 13 19 19 15 13 2 7\n",
"30 1\n19 20 10 21 9 26 20 21 30 12 25 25 2 1 10 3 19 12 18 12 30 18 22 1 18 18 30 30 12\n",
"30 1\n1 22 24 24 2 25 5 2 22 3 1 1 26 22 15 16 17 24 24 3 24 26 9 2 5 26 4 24 27\n",
"30 2\n7 7 12 11 23 22 4 24 27 2 18 1 27 24 7 20 13 12 27 19 12 26 19 18 22 19 18 25 10\n",
"30 3\n20 8 20 11 25 18 26 2 17 20 20 18 19 12 21 29 28 17 18 1 30 19 16 11 28 29 21 28 4\n",
"30 1\n16 12 7 12 27 1 1 7 16 10 19 7 1 13 1 16 11 13 18 4 8 13 18 16 9 4 17 16 18\n",
"30 3\n22 29 23 8 27 29 3 16 2 1 3 8 9 1 29 30 29 18 29 27 8 27 26 13 29 18 15 11 18\n",
"30 2\n1 28 16 24 19 15 15 22 27 28 18 2 17 22 2 1 28 23 23 15 1 7 29 20 24 7 8 15 15\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 5 22 8 10 7 16 21 8 4 7 2 17 2 23 16 23 25 11\n",
"30 2\n7 5 3 22 16 3 28 19 28 30 23 9 7 8 27 19 22 5 13 3 30 5 22 23 3 19 16 22 1\n",
"30 1\n8 18 7 24 11 20 18 3 23 3 18 4 5 27 27 9 22 23 18 24 1 15 3 30 23 28 18 2 21\n",
"30 2\n30 25 18 28 24 16 18 18 25 8 24 21 25 3 18 25 22 3 15 22 1 6 22 9 8 1 29 12 3\n",
"30 1\n17 26 7 18 27 18 26 29 24 9 28 5 6 25 18 15 8 24 24 15 15 25 18 1 25 8 8 25 27\n",
"30 3\n10 29 27 8 17 16 4 22 8 6 14 21 4 22 10 22 3 27 22 22 1 27 4 27 5 17 27 4 3\n",
"30 2\n13 25 22 9 30 18 28 21 15 15 23 23 28 17 28 30 22 30 10 23 2 1 23 1 17 17 23 13 23\n",
"30 1\n25 28 21 13 2 1 18 30 2 25 1 1 30 4 23 7 7 25 7 25 4 25 25 7 6 5 23 16 21\n",
"30 3\n14 29 29 8 22 28 30 8 4 21 13 11 1 7 19 21 2 1 24 1 28 14 22 27 21 30 11 28 26\n",
"30 3\n9 6 9 10 12 15 22 1 9 2 17 23 12 12 9 16 29 8 10 9 6 3 9 14 22 4 19 12 20\n",
"30 1\n19 20 10 21 9 1 20 21 30 12 25 25 2 1 10 3 19 12 18 12 30 18 22 1 18 18 30 30 12\n",
"30 1\n29 12 7 12 27 1 1 7 16 10 19 7 1 13 1 16 11 13 18 4 8 13 18 16 9 4 17 16 18\n",
"30 3\n23 29 23 8 27 29 3 16 2 1 3 8 9 1 29 30 29 18 29 27 8 27 26 13 29 18 15 11 18\n",
"30 2\n1 28 16 24 19 15 15 22 27 28 18 2 29 22 2 1 28 23 23 15 1 7 29 20 24 7 8 15 15\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 5 22 8 10 7 16 21 8 4 7 2 17 4 23 16 23 25 11\n",
"30 2\n30 25 18 1 24 16 18 18 25 8 24 21 25 3 18 25 22 3 15 22 1 6 22 9 8 1 29 12 3\n",
"30 3\n10 29 27 8 17 16 4 22 8 6 14 3 4 22 10 22 3 27 22 22 1 27 4 27 5 17 27 4 3\n",
"30 1\n25 28 17 13 2 1 18 30 2 25 1 1 30 4 23 7 7 25 7 25 4 25 25 7 6 5 23 16 21\n",
"8 2\n1 1 2 5 4 5 5\n",
"30 2\n7 7 12 11 23 22 4 24 27 2 18 1 30 24 7 20 13 12 27 19 12 26 19 18 16 19 18 25 10\n",
"30 3\n23 29 23 8 27 29 3 16 2 1 5 8 9 1 29 30 29 18 29 27 8 27 26 13 29 18 15 11 18\n",
"7 1\n1 1 3 3 1 4\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 5 22 8 10 7 16 1 8 4 7 2 17 4 23 16 23 10 11\n",
"30 2\n7 7 12 11 23 22 4 24 27 2 18 1 30 24 7 20 13 12 27 19 12 26 19 18 22 19 18 25 10\n",
"30 1\n8 18 3 24 11 20 18 3 23 3 18 4 5 27 27 9 22 23 18 24 1 15 3 30 23 28 18 2 21\n",
"30 3\n14 29 29 8 22 28 30 14 4 21 13 11 1 7 19 21 2 1 24 1 28 14 22 27 21 30 11 28 26\n",
"7 1\n1 1 3 3 5 4\n",
"30 1\n29 12 7 12 27 1 1 7 16 10 19 7 1 13 1 16 11 13 18 4 8 13 18 16 9 1 17 16 18\n",
"30 2\n1 28 16 24 19 15 15 22 27 28 10 2 29 22 2 1 28 23 23 15 1 7 29 20 24 7 8 15 15\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 5 22 8 10 7 16 21 8 4 7 2 17 4 23 16 23 10 11\n",
"30 1\n8 18 3 24 11 20 18 3 23 3 18 4 5 27 27 9 22 23 18 24 1 15 6 30 23 28 18 2 21\n",
"30 1\n25 28 25 13 2 1 18 30 2 25 1 1 30 4 23 7 7 25 7 25 4 25 25 7 6 5 23 16 21\n",
"30 3\n14 29 10 8 22 28 30 14 4 21 13 11 1 7 19 21 2 1 24 1 28 14 22 27 21 30 11 28 26\n",
"30 2\n7 7 12 11 23 22 4 24 27 2 18 1 30 24 7 20 13 12 27 19 12 26 19 18 27 19 18 25 10\n",
"30 1\n8 18 3 24 11 20 18 3 23 3 18 4 6 27 27 9 22 23 18 24 1 15 6 30 23 28 18 2 21\n",
"30 1\n25 28 25 13 2 1 18 30 2 25 1 1 30 2 23 7 7 25 7 25 4 25 25 7 6 5 23 16 21\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 10 22 8 10 7 16 1 8 4 7 2 17 4 23 16 23 10 11\n",
"30 1\n8 18 3 24 11 20 18 3 23 3 18 4 6 27 27 9 22 9 18 24 1 15 6 30 23 28 18 2 21\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 10 22 8 4 7 16 1 8 4 7 2 17 4 23 16 23 10 11\n",
"30 1\n8 18 3 24 11 20 18 1 23 3 18 4 6 27 27 9 22 9 18 24 1 15 6 30 23 28 18 2 21\n",
"30 3\n22 28 23 29 11 1 23 20 25 3 5 10 22 8 4 7 16 1 8 4 13 2 17 4 23 16 23 10 11\n",
"30 2\n26 11 22 16 1 29 16 14 8 23 21 22 11 24 15 23 22 1 11 20 23 29 13 19 19 15 13 2 7\n"
],
"output": [
"2",
"4",
"12",
"7",
"10",
"12",
"13",
"7",
"14",
"9",
"10",
"15",
"5",
"12",
"6",
"16",
"15",
"8",
"13",
"12",
"9\n",
"5\n",
"15\n",
"12\n",
"10\n",
"13\n",
"17\n",
"7\n",
"2\n",
"8\n",
"14\n",
"4\n",
"11\n",
"9\n",
"5\n",
"13\n",
"2\n",
"5\n",
"12\n",
"10\n",
"5\n",
"8\n",
"12\n",
"9\n",
"5\n",
"9\n",
"13\n",
"4\n",
"13\n",
"4\n",
"2\n",
"12\n"
]
} | 2CODEFORCES
|
1088_D. Ehab and another another xor problem_311 | This is an interactive problem!
Ehab plays a game with Laggy. Ehab has 2 hidden integers (a,b). Laggy can ask a pair of integers (c,d) and Ehab will reply with:
* 1 if a ⊕ c>b ⊕ d.
* 0 if a ⊕ c=b ⊕ d.
* -1 if a ⊕ c<b ⊕ d.
Operation a ⊕ b is the [bitwise-xor operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) of two numbers a and b.
Laggy should guess (a,b) with at most 62 questions. You'll play this game. You're Laggy and the interactor is Ehab.
It's guaranteed that 0 ≤ a,b<2^{30}.
Input
See the interaction section.
Output
To print the answer, print "! a b" (without quotes). Don't forget to flush the output after printing the answer.
Interaction
To ask a question, print "? c d" (without quotes). Both c and d must be non-negative integers less than 2^{30}. Don't forget to flush the output after printing any question.
After each question, you should read the answer as mentioned in the legend. If the interactor replies with -2, that means you asked more than 62 queries and your program should terminate.
To flush the output, you can use:-
* fflush(stdout) in C++.
* System.out.flush() in Java.
* stdout.flush() in Python.
* flush(output) in Pascal.
* See the documentation for other languages.
Hacking:
To hack someone, print the 2 space-separated integers a and b (0 ≤ a,b<2^{30}).
Example
Input
1
-1
0
Output
? 2 1
? 1 2
? 2 0
! 3 1
Note
In the sample:
The hidden numbers are a=3 and b=1.
In the first query: 3 ⊕ 2 = 1 and 1 ⊕ 1 = 0, so the answer is 1.
In the second query: 3 ⊕ 1 = 2 and 1 ⊕ 2 = 3, so the answer is -1.
In the third query: 3 ⊕ 2 = 1 and 1 ⊕ 0 = 1, so the answer is 0.
Then, we printed the answer. | #include <bits/stdc++.h>
using namespace std;
inline long long fpow(long long n, long long k, int p = 998244353) {
long long r = 1;
for (; k; k >>= 1) {
if (k & 1) r = r * n % p;
n = n * n % p;
}
return r;
}
inline long long inv(long long a, long long p = 998244353) {
return fpow(a, p - 2, p);
}
inline long long addmod(long long a, long long val, long long p = 998244353) {
{
if ((a = (a + val)) >= p) a -= p;
}
return a;
}
inline long long submod(long long a, long long val, long long p = 998244353) {
{
if ((a = (a - val)) < 0) a += p;
}
return a;
}
inline long long mult(long long a, long long b, long long p = 998244353) {
return (long long)a * b % p;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
;
bool greater = false;
cout << "? 0 0" << endl;
int x, y;
cin >> x;
if (x == 1) greater = true;
int cura = 0, curb = 0;
for (int i = 29; i >= 0; i--) {
cout << "? " << (cura ^ (1 << i)) << " " << curb << endl;
cin >> x;
cout << "? " << cura << " " << (curb ^ (1 << i)) << endl;
cin >> y;
if (x != y) {
if (y == 1) {
cura |= (1 << i);
curb |= (1 << i);
}
} else {
if (greater)
cura |= (1 << i);
else
curb |= (1 << i);
if (x == 1)
greater = true;
else
greater = false;
}
}
cout << "! " << cura << " " << curb << endl;
}
| 2C++
| {
"input": [
"1\n-1\n0",
"0 1073741823\n",
"10 5\n",
"16384 36739846\n",
"727373493 346368330\n",
"62914844 1044381411\n",
"683909153 117987356\n",
"534364885 625821414\n",
"1063413663 0\n",
"56797 6710886\n",
"153391689 613566756\n",
"450278829 900557658\n",
"0 0\n",
"477584543 68158472\n",
"89478485 214748364\n",
"306783378 153391689\n",
"715827882 357913941\n",
"1001779084 71962739\n",
"24148899 327705789\n",
"1073741823 715827882\n",
"232644061 35791394\n",
"83886724 83886724\n",
"1073741823 201848071\n",
"536870911 1073741823\n",
"1073202111 5313636\n",
"715827882 1073741823\n",
"409105665 785746817\n",
"657416 352703458\n",
"153391689 306783378\n",
"214748364 178956970\n",
"654180911 262142153\n",
"613566756 306783378\n",
"306783378 613566756\n",
"808500801 804194696\n",
"613566756 153391689\n",
"18 511\n",
"1061026815 89678319\n",
"281008742 536870783\n",
"755308624 595205480\n",
"163044727 136371540\n",
"546752557 920047485\n",
"998124987 1065353215\n",
"1069547483 938475423\n",
"10 1\n",
"1073741823 0\n",
"86867180 263680\n",
"1073741823 1073741823\n",
"153391689 153391689\n",
"272901145 277094680\n",
"537183241 1073348598\n",
"613566756 613566756\n",
"15 10\n",
"273090690 805374080\n",
"364899193 138413190\n",
"66367073 539263588\n",
"4096 33566784\n",
"721343485 293603362\n",
"1073741823 341608158\n",
"214748364 53687091\n",
"357913941 715827882\n",
"182952647 823299354\n",
"306783378 306783378\n",
"307325008 202426961\n",
"939511803 937611057\n",
"181062346 425285977\n",
"393232 393232\n",
"3 1\n",
"161061273 250539758\n",
"828291830 388435923\n",
"0 1\n",
"231799040 1062714743\n",
"0 1681261333\n",
"10 4\n",
"16384 40642166\n",
"727373493 403495785\n",
"62914844 907959152\n",
"234932075 117987356\n",
"534364885 414844230\n",
"1344006181 0\n",
"82640 6710886\n",
"153391689 612947991\n",
"777151998 900557658\n",
"-1 1\n",
"477584543 128140361\n",
"89184295 214748364\n",
"405070610 153391689\n",
"586870655 357913941\n",
"1001779084 22901907\n",
"24148899 342509643\n",
"1073741823 1064397449\n",
"232644061 62518742\n",
"167387609 83886724\n",
"1073741823 71254203\n",
"741097052 1073741823\n",
"212842600 5313636\n",
"715827882 1935885680\n",
"380079051 785746817\n",
"657416 456458600\n",
"153391689 518699663\n",
"214748364 149514833\n",
"661368913 262142153\n",
"1063892620 306783378\n",
"265257055 613566756\n",
"808500801 361539209\n",
"620758094 153391689\n",
"26 511\n",
"1061026815 91137190\n",
"133553825 536870783\n",
"755308624 869120958\n",
"187466662 136371540\n",
"546752557 1414244644\n",
"865526890 1065353215\n",
"545968928 938475423\n",
"10 2\n",
"1737330098 0\n",
"86867180 38388\n",
"1368692055 1073741823\n",
"153391689 156290017\n",
"272901145 420900266\n",
"537183241 356566087\n",
"280736700 613566756\n",
"15 6\n",
"273090690 467494543\n",
"642093256 138413190\n",
"53541058 539263588\n",
"4096 59173100\n"
],
"output": [
"? 0 0\n? 536870912 0\n? 0 536870912\n? 805306368 536870912\n? 536870912 805306368\n? 939524096 536870912\n? 805306368 671088640\n? 872415232 671088640\n? 805306368 738197504\n? 838860800 738197504\n? 805306368 771751936\n? 822083584 771751936\n? 805306368 788529152\n? 813694976 788529152\n? 805306368 796917760\n? 809500672 796917760\n? 805306368 801112064\n? 807403520 801112064\n? 805306368 803209216\n? 806354944 803209216\n? 805306368 804257792\n? 805830656 804257792\n? 805306368 804782080\n? 805568512 804782080\n? 805306368 805044224\n? 805437440 805044224\n? 805306368 805175296\n? 805371904 805175296\n? 805306368 805240832\n? 805339136 805240832\n? 805306368 805273600\n? 805322752 805273600\n? 805306368 805289984\n? 805314560 805289984\n? 805306368 805298176\n? 805310464 805298176\n? 805306368 805302272\n? 805308416 805302272\n? 805306368 805304320\n? 805307392 805304320\n? 805306368 805305344\n? 805306880 805305344\n? 805306368 805305856\n? 805306624 805305856\n? 805306368 805306112\n? 805306496 805306112\n? 805306368 805306240\n? 805306432 805306240\n? 805306368 805306304\n? 805306400 805306304\n? 805306368 805306336\n? 805306384 805306336\n? 805306368 805306352\n? 805306376 805306352\n? 805306368 805306360\n? 805306372 805306360\n? 805306368 805306364\n? 805306370 805306364\n? 805306368 805306366\n? 805306369 805306366\n? 805306368 805306367\n! 805306368 805306367\n",
"? 0 0\n? 536870912 0\n? 268435456 0\n? 134217728 0\n? 67108864 0\n? 33554432 0\n? 16777216 0\n? 8388608 0\n? 4194304 0\n? 2097152 0\n? 1048576 0\n? 524288 0\n? 262144 0\n? 131072 0\n? 65536 0\n? 32768 0\n? 16384 0\n? 8192 0\n? 4096 0\n? 2048 0\n? 1024 0\n? 512 0\n? 256 0\n? 128 0\n? 64 0\n? 32 0\n? 16 0\n? 8 0\n? 4 0\n? 2 0\n? 1 0\n! 0 0\n",
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"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n"
]
} | 2CODEFORCES
|
1088_D. Ehab and another another xor problem_312 | This is an interactive problem!
Ehab plays a game with Laggy. Ehab has 2 hidden integers (a,b). Laggy can ask a pair of integers (c,d) and Ehab will reply with:
* 1 if a ⊕ c>b ⊕ d.
* 0 if a ⊕ c=b ⊕ d.
* -1 if a ⊕ c<b ⊕ d.
Operation a ⊕ b is the [bitwise-xor operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) of two numbers a and b.
Laggy should guess (a,b) with at most 62 questions. You'll play this game. You're Laggy and the interactor is Ehab.
It's guaranteed that 0 ≤ a,b<2^{30}.
Input
See the interaction section.
Output
To print the answer, print "! a b" (without quotes). Don't forget to flush the output after printing the answer.
Interaction
To ask a question, print "? c d" (without quotes). Both c and d must be non-negative integers less than 2^{30}. Don't forget to flush the output after printing any question.
After each question, you should read the answer as mentioned in the legend. If the interactor replies with -2, that means you asked more than 62 queries and your program should terminate.
To flush the output, you can use:-
* fflush(stdout) in C++.
* System.out.flush() in Java.
* stdout.flush() in Python.
* flush(output) in Pascal.
* See the documentation for other languages.
Hacking:
To hack someone, print the 2 space-separated integers a and b (0 ≤ a,b<2^{30}).
Example
Input
1
-1
0
Output
? 2 1
? 1 2
? 2 0
! 3 1
Note
In the sample:
The hidden numbers are a=3 and b=1.
In the first query: 3 ⊕ 2 = 1 and 1 ⊕ 1 = 0, so the answer is 1.
In the second query: 3 ⊕ 1 = 2 and 1 ⊕ 2 = 3, so the answer is -1.
In the third query: 3 ⊕ 2 = 1 and 1 ⊕ 0 = 1, so the answer is 0.
Then, we printed the answer. |
import java.util.Scanner;
public class D {
public static void main(String[] aaaa) {
Scanner scanner = new Scanner(System.in);
System.out.println("? 0 0");
System.out.flush();
int res = scanner.nextInt();
// System.out.println("res " + res);
int a = 0;
int b = 0;
for (int i = 29; i >= 0; i--) {
int c = 0;
int d = (a ^ b) + (1 << i);
System.out.println("? " + c + " " + d);
System.out.flush();
int res1 = scanner.nextInt();
//int res2 = scanner.nextInt();
c = (a ^ b) + (1 << i);
d = 0;
System.out.println("? " + c + " " + d);
System.out.flush();
int res2 = scanner.nextInt();
//int res4 = scanner.nextInt();
int newres = 0;
if (res >= 0 && res1 >=0 && res2 >= 0) {
a += (1 << i);
//b += (1 << i);
newres = 1;
}
if (res >= 0 && res1 >=0 && res2 < 0) {
a += (1 << i);
b += (1 << i);
newres = 1;
}
if (res >= 0 && res1 < 0 && res2 >= 0) {
//a += (1 << i);
//b += (1 << i);
newres = 1;
}
if (res >= 0 && res1 < 0 && res2 < 0) {
a += (1 << i);
//b += (1 << i);
newres = -1;
}
if (res < 0 && res1 >=0 && res2 >= 0) {
//a += (1 << i);
b += (1 << i);
newres = 1;
}
if (res < 0 && res1 >=0 && res2 < 0) {
a += (1 << i);
b += (1 << i);
newres = -1;
}
if (res < 0 && res1 < 0 && res2 >= 0) {
//a += (1 << i);
//b += (1 << i);
newres = -1;
}
if (res < 0 && res1 < 0 && res2 < 0) {
//a += (1 << i);
b += (1 << i);
newres = -1;
}
// System.out.println("res " + res + " a " + a + " b " + b);
res = newres;
//System.out.println("? 0 0");
}
System.out.println("! " + a + " " + b);
}
}
| 4JAVA
| {
"input": [
"1\n-1\n0",
"0 1073741823\n",
"10 5\n",
"16384 36739846\n",
"727373493 346368330\n",
"62914844 1044381411\n",
"683909153 117987356\n",
"534364885 625821414\n",
"1063413663 0\n",
"56797 6710886\n",
"153391689 613566756\n",
"450278829 900557658\n",
"0 0\n",
"477584543 68158472\n",
"89478485 214748364\n",
"306783378 153391689\n",
"715827882 357913941\n",
"1001779084 71962739\n",
"24148899 327705789\n",
"1073741823 715827882\n",
"232644061 35791394\n",
"83886724 83886724\n",
"1073741823 201848071\n",
"536870911 1073741823\n",
"1073202111 5313636\n",
"715827882 1073741823\n",
"409105665 785746817\n",
"657416 352703458\n",
"153391689 306783378\n",
"214748364 178956970\n",
"654180911 262142153\n",
"613566756 306783378\n",
"306783378 613566756\n",
"808500801 804194696\n",
"613566756 153391689\n",
"18 511\n",
"1061026815 89678319\n",
"281008742 536870783\n",
"755308624 595205480\n",
"163044727 136371540\n",
"546752557 920047485\n",
"998124987 1065353215\n",
"1069547483 938475423\n",
"10 1\n",
"1073741823 0\n",
"86867180 263680\n",
"1073741823 1073741823\n",
"153391689 153391689\n",
"272901145 277094680\n",
"537183241 1073348598\n",
"613566756 613566756\n",
"15 10\n",
"273090690 805374080\n",
"364899193 138413190\n",
"66367073 539263588\n",
"4096 33566784\n",
"721343485 293603362\n",
"1073741823 341608158\n",
"214748364 53687091\n",
"357913941 715827882\n",
"182952647 823299354\n",
"306783378 306783378\n",
"307325008 202426961\n",
"939511803 937611057\n",
"181062346 425285977\n",
"393232 393232\n",
"3 1\n",
"161061273 250539758\n",
"828291830 388435923\n",
"0 1\n",
"231799040 1062714743\n",
"0 1681261333\n",
"10 4\n",
"16384 40642166\n",
"727373493 403495785\n",
"62914844 907959152\n",
"234932075 117987356\n",
"534364885 414844230\n",
"1344006181 0\n",
"82640 6710886\n",
"153391689 612947991\n",
"777151998 900557658\n",
"-1 1\n",
"477584543 128140361\n",
"89184295 214748364\n",
"405070610 153391689\n",
"586870655 357913941\n",
"1001779084 22901907\n",
"24148899 342509643\n",
"1073741823 1064397449\n",
"232644061 62518742\n",
"167387609 83886724\n",
"1073741823 71254203\n",
"741097052 1073741823\n",
"212842600 5313636\n",
"715827882 1935885680\n",
"380079051 785746817\n",
"657416 456458600\n",
"153391689 518699663\n",
"214748364 149514833\n",
"661368913 262142153\n",
"1063892620 306783378\n",
"265257055 613566756\n",
"808500801 361539209\n",
"620758094 153391689\n",
"26 511\n",
"1061026815 91137190\n",
"133553825 536870783\n",
"755308624 869120958\n",
"187466662 136371540\n",
"546752557 1414244644\n",
"865526890 1065353215\n",
"545968928 938475423\n",
"10 2\n",
"1737330098 0\n",
"86867180 38388\n",
"1368692055 1073741823\n",
"153391689 156290017\n",
"272901145 420900266\n",
"537183241 356566087\n",
"280736700 613566756\n",
"15 6\n",
"273090690 467494543\n",
"642093256 138413190\n",
"53541058 539263588\n",
"4096 59173100\n"
],
"output": [
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"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n",
"? 0 0\n? 536870912 0\n? 0 536870912\n? 268435456 0\n? 0 268435456\n? 134217728 0\n? 0 134217728\n? 67108864 0\n? 0 67108864\n? 33554432 0\n? 0 33554432\n? 16777216 0\n? 0 16777216\n? 8388608 0\n? 0 8388608\n? 4194304 0\n? 0 4194304\n? 2097152 0\n? 0 2097152\n? 1048576 0\n? 0 1048576\n? 524288 0\n? 0 524288\n? 262144 0\n? 0 262144\n? 131072 0\n? 0 131072\n? 65536 0\n? 0 65536\n? 32768 0\n? 0 32768\n? 16384 0\n? 0 16384\n? 8192 0\n? 0 8192\n? 4096 0\n? 0 4096\n? 2048 0\n? 0 2048\n? 1024 0\n? 0 1024\n? 512 0\n? 0 512\n? 256 0\n? 0 256\n? 128 0\n? 0 128\n? 64 0\n? 0 64\n? 32 0\n? 0 32\n? 16 0\n? 0 16\n? 8 0\n? 0 8\n? 4 0\n? 0 4\n? 2 0\n? 0 2\n? 1 0\n? 0 1\n! 0 0\n"
]
} | 2CODEFORCES
|
1107_D. Compression_313 | You are given a binary matrix A of size n × n. Let's denote an x-compression of the given matrix as a matrix B of size n/x × n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x ⌉][⌈ j/x ⌉] is met.
Obviously, x-compression is possible only if x divides n, but this condition is not enough. For example, the following matrix of size 2 × 2 does not have any 2-compression:
01 10
For the given matrix A, find maximum x such that an x-compression of this matrix is possible.
Note that the input is given in compressed form. But even though it is compressed, you'd better use fast input.
Input
The first line contains one number n (4 ≤ n ≤ 5200) — the number of rows and columns in the matrix A. It is guaranteed that n is divisible by 4.
Then the representation of matrix follows. Each of n next lines contains n/4 one-digit hexadecimal numbers (that is, these numbers can be represented either as digits from 0 to 9 or as uppercase Latin letters from A to F). Binary representation of each of these numbers denotes next 4 elements of the matrix in the corresponding row. For example, if the number B is given, then the corresponding elements are 1011, and if the number is 5, then the corresponding elements are 0101.
Elements are not separated by whitespaces.
Output
Print one number: maximum x such that an x-compression of the given matrix is possible.
Examples
Input
8
E7
E7
E7
00
00
E7
E7
E7
Output
1
Input
4
7
F
F
F
Output
1
Note
The first example corresponds to the matrix:
11100111 11100111 11100111 00000000 00000000 11100111 11100111 11100111
It is easy to see that the answer on this example is 1. | from __future__ import print_function,division
import sys
if sys.version_info < (3, 0):
range = xrange
n = int(input())
A = [[0]*(n+1) for _ in range(n+1)]
B = {
'0': (0,0,0,0),
'1': (0,0,0,1),
'2': (0,0,1,0),
'3': (0,0,1,1),
'4': (0,1,0,0),
'5': (0,1,0,1),
'6': (0,1,1,0),
'7': (0,1,1,1),
'8': (1,0,0,0),
'9': (1,0,0,1),
'A': (1,0,1,0),
'B': (1,0,1,1),
'C': (1,1,0,0),
'D': (1,1,0,1),
'E': (1,1,1,0),
'F': (1,1,1,1),
}
s = sys.stdin.read().splitlines()
for i,line in enumerate(s):
j = 0
for c in line:
for b in B[c]:
A[i+1][j+1] = b + A[i][j+1] + A[i+1][j] - A[i][j]
j += 1
def S(u,l,d,r):
return A[d][r] - A[d][l] - A[u][r] + A[u][l]
for s in reversed(range(1,n+1)):
if n%s == 0:
sq = s**2
for i in range(0,n,s):
for j in range(0,n,s):
if S(i,j,i+s,j+s) not in (0,sq):
break
else:
continue
break
else:
print(s)
break
| 1Python2
| {
"input": [
"8\nE7\nE7\nE7\n00\n00\nE7\nE7\nE7\n",
"4\n7\nF\nF\nF\n",
"8\nFF\nFF\n00\n00\nFF\nFF\n00\n00\n",
"4\n0\n0\n0\n1\n",
"8\n33\n33\n33\n33\n33\n33\n11\n11\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"12\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n",
"4\nA\nA\nA\nA\n",
"12\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC0\nFC0\nFC0\nF11\nF11\nF11\n",
"8\nCD\nCD\nCD\nCD\nCE\nCE\nCE\nCE\n",
"4\nE\nE\nE\nE\n",
"4\n3\n3\n3\n3\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC0\nFC0\nFC3\nFC3\nFC1\nFC1\n",
"4\nF\n0\nF\n0\n",
"12\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n",
"8\n0F\n0F\nF0\nF0\n0F\n0F\nF0\nF0\n",
"4\n3\nF\nF\nF\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n3\nC\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"4\nF\nF\nF\nF\n",
"12\nE38\n3E8\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nCE\nCE\n",
"4\nE\nE\nD\nE\n",
"4\n3\n3\n3\n1\n",
"12\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n000\n100\n",
"8\n0F\n0F\n0F\nF0\n0F\n0F\nF0\nF0\n",
"4\n3\nF\nE\nF\n",
"12\nFFF\nFEF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n5\nC\n",
"8\nE7\nE7\nE7\n00\n00\nE7\n7E\nE7\n",
"4\n5\nF\nF\nF\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"12\nE38\n3E8\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nCE\n",
"4\nE\nE\nD\nF\n",
"4\n3\n3\n3\n0\n",
"12\n100\n100\n100\n101\n100\n100\n100\n100\n100\n100\n000\n100\n",
"4\n1\nF\nE\nF\n",
"12\nFFF\nFEF\nFFF\nEFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n5\nD\n",
"8\nE7\nE7\nE7\n00\n00\nE7\n7F\nE7\n",
"4\n9\nF\nF\nF\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\nE38\nE38\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nF0C\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nCF\n",
"4\nE\nF\nD\nF\n",
"4\n3\n0\n3\n0\n",
"12\n100\n100\n101\n101\n100\n100\n100\n100\n100\n100\n000\n100\n",
"4\n0\nF\nE\nF\n",
"12\nFFF\nEFF\nFFF\nEFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n1\nC\n5\nD\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0DFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\nE38\n83E\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nF0C\nFC0\nFC0\nFC0\nFC0\nF0C\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nFC\n",
"4\nE\nF\nE\nF\n",
"4\n0\n0\n3\n0\n",
"12\n100\n100\n101\n101\n100\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nE\nE\nF\n",
"12\nFFF\nEFF\nFFF\nEFF\nFFF\nFFF\nEFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n2\nC\n5\nD\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nCFF0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0DFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\n83E\n83E\nE38\nE38\nE38\nE38\n83E\nE38\n",
"4\nE\nF\nF\nF\n",
"4\n0\n0\n2\n0\n",
"12\n100\n110\n101\n101\n100\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nF\nE\nE\n",
"4\n2\nD\n5\nD\n",
"12\nE38\n3E8\nE38\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83E\nE38\n",
"4\n0\n0\n4\n0\n",
"12\n100\n110\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nF\nD\nE\n",
"4\n3\nD\n5\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83E\nE38\n",
"4\nF\nE\nF\nF\n",
"12\n101\n110\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nD\n5\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83D\nE38\n",
"4\nE\nE\nF\nF\n",
"12\n101\n010\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nD\n9\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\n83E\nE38\n83D\nE38\n",
"12\n101\n000\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nE\n9\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\n83E\nE38\nD38\nE38\n",
"12\n101\n000\n101\n100\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n2\nE\n9\nD\n",
"12\nE38\n3E8\n3E8\n83D\n83E\n83E\nE38\n83E\n83E\nE38\nD38\nE38\n",
"12\n101\n000\n101\n000\n110\n100\n100\n100\n100\n101\n000\n100\n",
"12\nE38\n3E8\n3E8\n83D\n83E\n83E\nE38\nE38\n83E\nE38\nD38\nE38\n",
"12\n001\n000\n101\n000\n110\n100\n100\n100\n100\n101\n000\n100\n"
],
"output": [
"1",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"6",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1\n",
"4\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
1107_D. Compression_314 | You are given a binary matrix A of size n × n. Let's denote an x-compression of the given matrix as a matrix B of size n/x × n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x ⌉][⌈ j/x ⌉] is met.
Obviously, x-compression is possible only if x divides n, but this condition is not enough. For example, the following matrix of size 2 × 2 does not have any 2-compression:
01 10
For the given matrix A, find maximum x such that an x-compression of this matrix is possible.
Note that the input is given in compressed form. But even though it is compressed, you'd better use fast input.
Input
The first line contains one number n (4 ≤ n ≤ 5200) — the number of rows and columns in the matrix A. It is guaranteed that n is divisible by 4.
Then the representation of matrix follows. Each of n next lines contains n/4 one-digit hexadecimal numbers (that is, these numbers can be represented either as digits from 0 to 9 or as uppercase Latin letters from A to F). Binary representation of each of these numbers denotes next 4 elements of the matrix in the corresponding row. For example, if the number B is given, then the corresponding elements are 1011, and if the number is 5, then the corresponding elements are 0101.
Elements are not separated by whitespaces.
Output
Print one number: maximum x such that an x-compression of the given matrix is possible.
Examples
Input
8
E7
E7
E7
00
00
E7
E7
E7
Output
1
Input
4
7
F
F
F
Output
1
Note
The first example corresponds to the matrix:
11100111 11100111 11100111 00000000 00000000 11100111 11100111 11100111
It is easy to see that the answer on this example is 1. | #include <bits/stdc++.h>
using namespace std;
const int maxn = 5205;
int n;
int sum[maxn][maxn];
char a;
char cs[] = "0123456789ABCDEF";
map<char, int> cidic;
void init() {
for (int i = 0; i < 16; i++) {
cidic[cs[i]] = i;
}
}
void update(int i, int j) {
sum[i][j] += (i > 0 ? sum[i - 1][j] : 0) + (j > 0 ? sum[i][j - 1] : 0) -
(i > 0 && j > 0 ? sum[i - 1][j - 1] : 0);
}
bool check(int k) {
for (int i = 0; i < n; i += k) {
for (int j = 0; j < n; j += k) {
int c_sum = sum[i + k - 1][j + k - 1] -
(j > 0 ? sum[i + k - 1][j - 1] : 0) -
(i > 0 ? sum[i - 1][j + k - 1] : 0) +
(i > 0 && j > 0 ? sum[i - 1][j - 1] : 0);
if (c_sum != 0 && c_sum != k * k) return false;
}
}
return true;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n;
init();
for (int i = 0; i < n; i++) {
for (int j = 0; j < n / 4; j++) {
cin >> a;
int ms = cidic[a];
sum[i][j * 4] = (ms >> 3) & 1;
update(i, j * 4);
sum[i][j * 4 + 1] = (ms >> 2) & 1;
update(i, j * 4 + 1);
sum[i][j * 4 + 2] = (ms >> 1) & 1;
update(i, j * 4 + 2);
sum[i][j * 4 + 3] = ms & 1;
update(i, j * 4 + 3);
}
}
int k = 1;
while (k != n && !check(n / k)) {
k++;
while (n % k != 0) {
k++;
}
}
cout << n / k << endl;
return 0;
}
| 2C++
| {
"input": [
"8\nE7\nE7\nE7\n00\n00\nE7\nE7\nE7\n",
"4\n7\nF\nF\nF\n",
"8\nFF\nFF\n00\n00\nFF\nFF\n00\n00\n",
"4\n0\n0\n0\n1\n",
"8\n33\n33\n33\n33\n33\n33\n11\n11\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"12\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n",
"4\nA\nA\nA\nA\n",
"12\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC0\nFC0\nFC0\nF11\nF11\nF11\n",
"8\nCD\nCD\nCD\nCD\nCE\nCE\nCE\nCE\n",
"4\nE\nE\nE\nE\n",
"4\n3\n3\n3\n3\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC0\nFC0\nFC3\nFC3\nFC1\nFC1\n",
"4\nF\n0\nF\n0\n",
"12\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n",
"8\n0F\n0F\nF0\nF0\n0F\n0F\nF0\nF0\n",
"4\n3\nF\nF\nF\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n3\nC\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"4\nF\nF\nF\nF\n",
"12\nE38\n3E8\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nCE\nCE\n",
"4\nE\nE\nD\nE\n",
"4\n3\n3\n3\n1\n",
"12\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n000\n100\n",
"8\n0F\n0F\n0F\nF0\n0F\n0F\nF0\nF0\n",
"4\n3\nF\nE\nF\n",
"12\nFFF\nFEF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n5\nC\n",
"8\nE7\nE7\nE7\n00\n00\nE7\n7E\nE7\n",
"4\n5\nF\nF\nF\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"12\nE38\n3E8\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nCE\n",
"4\nE\nE\nD\nF\n",
"4\n3\n3\n3\n0\n",
"12\n100\n100\n100\n101\n100\n100\n100\n100\n100\n100\n000\n100\n",
"4\n1\nF\nE\nF\n",
"12\nFFF\nFEF\nFFF\nEFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n5\nD\n",
"8\nE7\nE7\nE7\n00\n00\nE7\n7F\nE7\n",
"4\n9\nF\nF\nF\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\nE38\nE38\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nF0C\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nCF\n",
"4\nE\nF\nD\nF\n",
"4\n3\n0\n3\n0\n",
"12\n100\n100\n101\n101\n100\n100\n100\n100\n100\n100\n000\n100\n",
"4\n0\nF\nE\nF\n",
"12\nFFF\nEFF\nFFF\nEFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n1\nC\n5\nD\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0DFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\nE38\n83E\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nF0C\nFC0\nFC0\nFC0\nFC0\nF0C\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nFC\n",
"4\nE\nF\nE\nF\n",
"4\n0\n0\n3\n0\n",
"12\n100\n100\n101\n101\n100\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nE\nE\nF\n",
"12\nFFF\nEFF\nFFF\nEFF\nFFF\nFFF\nEFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n2\nC\n5\nD\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nCFF0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0DFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\n83E\n83E\nE38\nE38\nE38\nE38\n83E\nE38\n",
"4\nE\nF\nF\nF\n",
"4\n0\n0\n2\n0\n",
"12\n100\n110\n101\n101\n100\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nF\nE\nE\n",
"4\n2\nD\n5\nD\n",
"12\nE38\n3E8\nE38\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83E\nE38\n",
"4\n0\n0\n4\n0\n",
"12\n100\n110\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nF\nD\nE\n",
"4\n3\nD\n5\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83E\nE38\n",
"4\nF\nE\nF\nF\n",
"12\n101\n110\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nD\n5\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83D\nE38\n",
"4\nE\nE\nF\nF\n",
"12\n101\n010\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nD\n9\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\n83E\nE38\n83D\nE38\n",
"12\n101\n000\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nE\n9\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\n83E\nE38\nD38\nE38\n",
"12\n101\n000\n101\n100\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n2\nE\n9\nD\n",
"12\nE38\n3E8\n3E8\n83D\n83E\n83E\nE38\n83E\n83E\nE38\nD38\nE38\n",
"12\n101\n000\n101\n000\n110\n100\n100\n100\n100\n101\n000\n100\n",
"12\nE38\n3E8\n3E8\n83D\n83E\n83E\nE38\nE38\n83E\nE38\nD38\nE38\n",
"12\n001\n000\n101\n000\n110\n100\n100\n100\n100\n101\n000\n100\n"
],
"output": [
"1",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"6",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1\n",
"4\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
1107_D. Compression_315 | You are given a binary matrix A of size n × n. Let's denote an x-compression of the given matrix as a matrix B of size n/x × n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x ⌉][⌈ j/x ⌉] is met.
Obviously, x-compression is possible only if x divides n, but this condition is not enough. For example, the following matrix of size 2 × 2 does not have any 2-compression:
01 10
For the given matrix A, find maximum x such that an x-compression of this matrix is possible.
Note that the input is given in compressed form. But even though it is compressed, you'd better use fast input.
Input
The first line contains one number n (4 ≤ n ≤ 5200) — the number of rows and columns in the matrix A. It is guaranteed that n is divisible by 4.
Then the representation of matrix follows. Each of n next lines contains n/4 one-digit hexadecimal numbers (that is, these numbers can be represented either as digits from 0 to 9 or as uppercase Latin letters from A to F). Binary representation of each of these numbers denotes next 4 elements of the matrix in the corresponding row. For example, if the number B is given, then the corresponding elements are 1011, and if the number is 5, then the corresponding elements are 0101.
Elements are not separated by whitespaces.
Output
Print one number: maximum x such that an x-compression of the given matrix is possible.
Examples
Input
8
E7
E7
E7
00
00
E7
E7
E7
Output
1
Input
4
7
F
F
F
Output
1
Note
The first example corresponds to the matrix:
11100111 11100111 11100111 00000000 00000000 11100111 11100111 11100111
It is easy to see that the answer on this example is 1. | # ---------------------------iye ha aam zindegi---------------------------------------------
import math
import heapq, bisect
import sys
from collections import deque, defaultdict
from fractions import Fraction
mod = 10 ** 9 + 7
mod1 = 998244353
# ------------------------------warmup----------------------------
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")
# -------------------game starts now----------------------------------------------------import math
class TreeNode:
def __init__(self, k, v):
self.key = k
self.value = v
self.left = None
self.right = None
self.parent = None
self.height = 1
self.num_left = 1
self.num_total = 1
class AvlTree:
def __init__(self):
self._tree = None
def add(self, k, v):
if not self._tree:
self._tree = TreeNode(k, v)
return
node = self._add(k, v)
if node:
self._rebalance(node)
def _add(self, k, v):
node = self._tree
while node:
if k < node.key:
if node.left:
node = node.left
else:
node.left = TreeNode(k, v)
node.left.parent = node
return node.left
elif node.key < k:
if node.right:
node = node.right
else:
node.right = TreeNode(k, v)
node.right.parent = node
return node.right
else:
node.value = v
return
@staticmethod
def get_height(x):
return x.height if x else 0
@staticmethod
def get_num_total(x):
return x.num_total if x else 0
def _rebalance(self, node):
n = node
while n:
lh = self.get_height(n.left)
rh = self.get_height(n.right)
n.height = max(lh, rh) + 1
balance_factor = lh - rh
n.num_total = 1 + self.get_num_total(n.left) + self.get_num_total(n.right)
n.num_left = 1 + self.get_num_total(n.left)
if balance_factor > 1:
if self.get_height(n.left.left) < self.get_height(n.left.right):
self._rotate_left(n.left)
self._rotate_right(n)
elif balance_factor < -1:
if self.get_height(n.right.right) < self.get_height(n.right.left):
self._rotate_right(n.right)
self._rotate_left(n)
else:
n = n.parent
def _remove_one(self, node):
"""
Side effect!!! Changes node. Node should have exactly one child
"""
replacement = node.left or node.right
if node.parent:
if AvlTree._is_left(node):
node.parent.left = replacement
else:
node.parent.right = replacement
replacement.parent = node.parent
node.parent = None
else:
self._tree = replacement
replacement.parent = None
node.left = None
node.right = None
node.parent = None
self._rebalance(replacement)
def _remove_leaf(self, node):
if node.parent:
if AvlTree._is_left(node):
node.parent.left = None
else:
node.parent.right = None
self._rebalance(node.parent)
else:
self._tree = None
node.parent = None
node.left = None
node.right = None
def remove(self, k):
node = self._get_node(k)
if not node:
return
if AvlTree._is_leaf(node):
self._remove_leaf(node)
return
if node.left and node.right:
nxt = AvlTree._get_next(node)
node.key = nxt.key
node.value = nxt.value
if self._is_leaf(nxt):
self._remove_leaf(nxt)
else:
self._remove_one(nxt)
self._rebalance(node)
else:
self._remove_one(node)
def get(self, k):
node = self._get_node(k)
return node.value if node else -1
def _get_node(self, k):
if not self._tree:
return None
node = self._tree
while node:
if k < node.key:
node = node.left
elif node.key < k:
node = node.right
else:
return node
return None
def get_at(self, pos):
x = pos + 1
node = self._tree
while node:
if x < node.num_left:
node = node.left
elif node.num_left < x:
x -= node.num_left
node = node.right
else:
return (node.key, node.value)
raise IndexError("Out of ranges")
@staticmethod
def _is_left(node):
return node.parent.left and node.parent.left == node
@staticmethod
def _is_leaf(node):
return node.left is None and node.right is None
def _rotate_right(self, node):
if not node.parent:
self._tree = node.left
node.left.parent = None
elif AvlTree._is_left(node):
node.parent.left = node.left
node.left.parent = node.parent
else:
node.parent.right = node.left
node.left.parent = node.parent
bk = node.left.right
node.left.right = node
node.parent = node.left
node.left = bk
if bk:
bk.parent = node
node.height = max(self.get_height(node.left), self.get_height(node.right)) + 1
node.num_total = 1 + self.get_num_total(node.left) + self.get_num_total(node.right)
node.num_left = 1 + self.get_num_total(node.left)
def _rotate_left(self, node):
if not node.parent:
self._tree = node.right
node.right.parent = None
elif AvlTree._is_left(node):
node.parent.left = node.right
node.right.parent = node.parent
else:
node.parent.right = node.right
node.right.parent = node.parent
bk = node.right.left
node.right.left = node
node.parent = node.right
node.right = bk
if bk:
bk.parent = node
node.height = max(self.get_height(node.left), self.get_height(node.right)) + 1
node.num_total = 1 + self.get_num_total(node.left) + self.get_num_total(node.right)
node.num_left = 1 + self.get_num_total(node.left)
@staticmethod
def _get_next(node):
if not node.right:
return node.parent
n = node.right
while n.left:
n = n.left
return n
avl=AvlTree()
#-----------------------------------------------binary seacrh tree---------------------------------------
class SegmentTree1:
def __init__(self, data, default='z', func=lambda a, b: min(a ,b)):
"""initialize the segment tree with data"""
self._default = default
self._func = func
self._len = len(data)
self._size = _size = 1 << (self._len - 1).bit_length()
self.data = [default] * (2 * _size)
self.data[_size:_size + self._len] = data
for i in reversed(range(_size)):
self.data[i] = func(self.data[i + i], self.data[i + i + 1])
def __delitem__(self, idx):
self[idx] = self._default
def __getitem__(self, idx):
return self.data[idx + self._size]
def __setitem__(self, idx, value):
idx += self._size
self.data[idx] = value
idx >>= 1
while idx:
self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
idx >>= 1
def __len__(self):
return self._len
def query(self, start, stop):
if start == stop:
return self.__getitem__(start)
stop += 1
start += self._size
stop += self._size
res = self._default
while start < stop:
if start & 1:
res = self._func(res, self.data[start])
start += 1
if stop & 1:
stop -= 1
res = self._func(res, self.data[stop])
start >>= 1
stop >>= 1
return res
def __repr__(self):
return "SegmentTree({0})".format(self.data)
# -------------------game starts now----------------------------------------------------import math
class SegmentTree:
def __init__(self, data, default=0, func=lambda a, b: a + b):
"""initialize the segment tree with data"""
self._default = default
self._func = func
self._len = len(data)
self._size = _size = 1 << (self._len - 1).bit_length()
self.data = [default] * (2 * _size)
self.data[_size:_size + self._len] = data
for i in reversed(range(_size)):
self.data[i] = func(self.data[i + i], self.data[i + i + 1])
def __delitem__(self, idx):
self[idx] = self._default
def __getitem__(self, idx):
return self.data[idx + self._size]
def __setitem__(self, idx, value):
idx += self._size
self.data[idx] = value
idx >>= 1
while idx:
self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
idx >>= 1
def __len__(self):
return self._len
def query(self, start, stop):
if start == stop:
return self.__getitem__(start)
stop += 1
start += self._size
stop += self._size
res = self._default
while start < stop:
if start & 1:
res = self._func(res, self.data[start])
start += 1
if stop & 1:
stop -= 1
res = self._func(res, self.data[stop])
start >>= 1
stop >>= 1
return res
def __repr__(self):
return "SegmentTree({0})".format(self.data)
# -------------------------------iye ha chutiya zindegi-------------------------------------
class Factorial:
def __init__(self, MOD):
self.MOD = MOD
self.factorials = [1, 1]
self.invModulos = [0, 1]
self.invFactorial_ = [1, 1]
def calc(self, n):
if n <= -1:
print("Invalid argument to calculate n!")
print("n must be non-negative value. But the argument was " + str(n))
exit()
if n < len(self.factorials):
return self.factorials[n]
nextArr = [0] * (n + 1 - len(self.factorials))
initialI = len(self.factorials)
prev = self.factorials[-1]
m = self.MOD
for i in range(initialI, n + 1):
prev = nextArr[i - initialI] = prev * i % m
self.factorials += nextArr
return self.factorials[n]
def inv(self, n):
if n <= -1:
print("Invalid argument to calculate n^(-1)")
print("n must be non-negative value. But the argument was " + str(n))
exit()
p = self.MOD
pi = n % p
if pi < len(self.invModulos):
return self.invModulos[pi]
nextArr = [0] * (n + 1 - len(self.invModulos))
initialI = len(self.invModulos)
for i in range(initialI, min(p, n + 1)):
next = -self.invModulos[p % i] * (p // i) % p
self.invModulos.append(next)
return self.invModulos[pi]
def invFactorial(self, n):
if n <= -1:
print("Invalid argument to calculate (n^(-1))!")
print("n must be non-negative value. But the argument was " + str(n))
exit()
if n < len(self.invFactorial_):
return self.invFactorial_[n]
self.inv(n) # To make sure already calculated n^-1
nextArr = [0] * (n + 1 - len(self.invFactorial_))
initialI = len(self.invFactorial_)
prev = self.invFactorial_[-1]
p = self.MOD
for i in range(initialI, n + 1):
prev = nextArr[i - initialI] = (prev * self.invModulos[i % p]) % p
self.invFactorial_ += nextArr
return self.invFactorial_[n]
class Combination:
def __init__(self, MOD):
self.MOD = MOD
self.factorial = Factorial(MOD)
def ncr(self, n, k):
if k < 0 or n < k:
return 0
k = min(k, n - k)
f = self.factorial
return f.calc(n) * f.invFactorial(max(n - k, k)) * f.invFactorial(min(k, n - k)) % self.MOD
# --------------------------------------iye ha combinations ka zindegi---------------------------------
def powm(a, n, m):
if a == 1 or n == 0:
return 1
if n % 2 == 0:
s = powm(a, n // 2, m)
return s * s % m
else:
return a * powm(a, n - 1, m) % m
# --------------------------------------iye ha power ka zindegi---------------------------------
def sort_list(list1, list2):
zipped_pairs = zip(list2, list1)
z = [x for _, x in sorted(zipped_pairs)]
return z
# --------------------------------------------------product----------------------------------------
def product(l):
por = 1
for i in range(len(l)):
por *= l[i]
return por
# --------------------------------------------------binary----------------------------------------
def binarySearchCount(arr, n, key):
left = 0
right = n - 1
count = 0
while (left <= right):
mid = int((right + left)/ 2)
# Check if middle element is
# less than or equal to key
if (arr[mid]<=key):
count = mid+1
left = mid + 1
# If key is smaller, ignore right half
else:
right = mid - 1
return count
# --------------------------------------------------binary----------------------------------------
def countdig(n):
c = 0
while (n > 0):
n //= 10
c += 1
return c
def countGreater( arr,n, k):
l = 0
r = n - 1
# Stores the index of the left most element
# from the array which is greater than k
leftGreater = n
# Finds number of elements greater than k
while (l <= r):
m = int(l + (r - l) / 2)
if (arr[m] >= k):
leftGreater = m
r = m - 1
# If mid element is less than
# or equal to k update l
else:
l = m + 1
# Return the count of elements
# greater than k
return (n - leftGreater)
# --------------------------------------------------binary------------------------------------
ind=defaultdict(list)
ind['1']=[0,0,0,1]
ind['0']=[0,0,0,0]
ind['2']=[0,0,1,0]
ind['3']=[0,0,1,1]
ind ['4']=[0,1,0,0]
ind ['5']=[0,1,0,1]
ind ['6']=[0,1,1,0]
ind ['7']=[0,1,1,1]
ind ['8']=[1,0,0,0]
ind ['9']=[1,0,0,1]
ind['A']=[1,0,1,0]
ind ['B']=[1,0,1,1]
ind ['C']=[1,1,0,0]
ind ['D']=[1,1,0,1]
ind ['E']=[1,1,1,0]
ind ['F']=[1,1,1,1]
n=int(input())
l=[[] for i in range(n)]
for i in range(n):
s=input()
for j in s:
for u in ind[j]:
l[i].append(u)
a=[]
c=1
for i in range(1,n):
f=0
for j in range(n):
if l[i-1][j]!=l[i][j]:
f=1
a.append(c)
c=1
break
if f==0:
c+=1
a.append(c)
c=1
for i in range(1,n):
f=0
for j in range(n):
if l[j][i-1]!=l[j][i]:
f=1
a.append(c)
c=1
break
if f==0:
c+=1
a.append(c)
ans=0
for i in a:
ans=math.gcd(i,ans)
print(ans)
| 3Python3
| {
"input": [
"8\nE7\nE7\nE7\n00\n00\nE7\nE7\nE7\n",
"4\n7\nF\nF\nF\n",
"8\nFF\nFF\n00\n00\nFF\nFF\n00\n00\n",
"4\n0\n0\n0\n1\n",
"8\n33\n33\n33\n33\n33\n33\n11\n11\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"12\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n",
"4\nA\nA\nA\nA\n",
"12\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC0\nFC0\nFC0\nF11\nF11\nF11\n",
"8\nCD\nCD\nCD\nCD\nCE\nCE\nCE\nCE\n",
"4\nE\nE\nE\nE\n",
"4\n3\n3\n3\n3\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC0\nFC0\nFC3\nFC3\nFC1\nFC1\n",
"4\nF\n0\nF\n0\n",
"12\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n",
"8\n0F\n0F\nF0\nF0\n0F\n0F\nF0\nF0\n",
"4\n3\nF\nF\nF\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n3\nC\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"4\nF\nF\nF\nF\n",
"12\nE38\n3E8\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nCE\nCE\n",
"4\nE\nE\nD\nE\n",
"4\n3\n3\n3\n1\n",
"12\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n000\n100\n",
"8\n0F\n0F\n0F\nF0\n0F\n0F\nF0\nF0\n",
"4\n3\nF\nE\nF\n",
"12\nFFF\nFEF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n5\nC\n",
"8\nE7\nE7\nE7\n00\n00\nE7\n7E\nE7\n",
"4\n5\nF\nF\nF\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"12\nE38\n3E8\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nCE\n",
"4\nE\nE\nD\nF\n",
"4\n3\n3\n3\n0\n",
"12\n100\n100\n100\n101\n100\n100\n100\n100\n100\n100\n000\n100\n",
"4\n1\nF\nE\nF\n",
"12\nFFF\nFEF\nFFF\nEFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n5\nD\n",
"8\nE7\nE7\nE7\n00\n00\nE7\n7F\nE7\n",
"4\n9\nF\nF\nF\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\nE38\nE38\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nF0C\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nCF\n",
"4\nE\nF\nD\nF\n",
"4\n3\n0\n3\n0\n",
"12\n100\n100\n101\n101\n100\n100\n100\n100\n100\n100\n000\n100\n",
"4\n0\nF\nE\nF\n",
"12\nFFF\nEFF\nFFF\nEFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n1\nC\n5\nD\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0DFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\nE38\n83E\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nF0C\nFC0\nFC0\nFC0\nFC0\nF0C\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nFC\n",
"4\nE\nF\nE\nF\n",
"4\n0\n0\n3\n0\n",
"12\n100\n100\n101\n101\n100\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nE\nE\nF\n",
"12\nFFF\nEFF\nFFF\nEFF\nFFF\nFFF\nEFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n2\nC\n5\nD\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nCFF0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0DFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\n83E\n83E\nE38\nE38\nE38\nE38\n83E\nE38\n",
"4\nE\nF\nF\nF\n",
"4\n0\n0\n2\n0\n",
"12\n100\n110\n101\n101\n100\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nF\nE\nE\n",
"4\n2\nD\n5\nD\n",
"12\nE38\n3E8\nE38\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83E\nE38\n",
"4\n0\n0\n4\n0\n",
"12\n100\n110\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nF\nD\nE\n",
"4\n3\nD\n5\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83E\nE38\n",
"4\nF\nE\nF\nF\n",
"12\n101\n110\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nD\n5\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83D\nE38\n",
"4\nE\nE\nF\nF\n",
"12\n101\n010\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nD\n9\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\n83E\nE38\n83D\nE38\n",
"12\n101\n000\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nE\n9\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\n83E\nE38\nD38\nE38\n",
"12\n101\n000\n101\n100\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n2\nE\n9\nD\n",
"12\nE38\n3E8\n3E8\n83D\n83E\n83E\nE38\n83E\n83E\nE38\nD38\nE38\n",
"12\n101\n000\n101\n000\n110\n100\n100\n100\n100\n101\n000\n100\n",
"12\nE38\n3E8\n3E8\n83D\n83E\n83E\nE38\nE38\n83E\nE38\nD38\nE38\n",
"12\n001\n000\n101\n000\n110\n100\n100\n100\n100\n101\n000\n100\n"
],
"output": [
"1",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"6",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1\n",
"4\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
1107_D. Compression_316 | You are given a binary matrix A of size n × n. Let's denote an x-compression of the given matrix as a matrix B of size n/x × n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x ⌉][⌈ j/x ⌉] is met.
Obviously, x-compression is possible only if x divides n, but this condition is not enough. For example, the following matrix of size 2 × 2 does not have any 2-compression:
01 10
For the given matrix A, find maximum x such that an x-compression of this matrix is possible.
Note that the input is given in compressed form. But even though it is compressed, you'd better use fast input.
Input
The first line contains one number n (4 ≤ n ≤ 5200) — the number of rows and columns in the matrix A. It is guaranteed that n is divisible by 4.
Then the representation of matrix follows. Each of n next lines contains n/4 one-digit hexadecimal numbers (that is, these numbers can be represented either as digits from 0 to 9 or as uppercase Latin letters from A to F). Binary representation of each of these numbers denotes next 4 elements of the matrix in the corresponding row. For example, if the number B is given, then the corresponding elements are 1011, and if the number is 5, then the corresponding elements are 0101.
Elements are not separated by whitespaces.
Output
Print one number: maximum x such that an x-compression of the given matrix is possible.
Examples
Input
8
E7
E7
E7
00
00
E7
E7
E7
Output
1
Input
4
7
F
F
F
Output
1
Note
The first example corresponds to the matrix:
11100111 11100111 11100111 00000000 00000000 11100111 11100111 11100111
It is easy to see that the answer on this example is 1. |
import java.io.*;
import java.util.*;
public class Main {
private static int MOD = 1000000007;
public static void main(String[] args) throws Exception {
InputStream inS = System.in;
// InputReader sc = new InputReader(inS);
PrintStream out = System.out;
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
sc.nextLine();
int[][] matrix = new int[n][n];
for (int i = 0; i < n; i++) {
String s = sc.next();
for (int j = 0; j < s.length(); j++) {
int num = getValue(s.charAt(j));
for (int k = 0; k < 4; k++) {
matrix[i][j*4 + 3 - k] = num & 1;
num >>= 1;
}
}
}
// for (int i = 0; i < n; i++) {
// Helpers.display(matrix[i], 0, n-1);
// }
int x = n;
for (int i = 0; i < n; i++) {
int count = 1;
for (int j = 1; j < n; j++) {
if (matrix[i][j-1] != matrix[i][j]) {
x = gcd(x, count);
count = 1;
} else {
count++;
}
}
}
for (int i = 0; i < n; i++) {
int count = 1;
for (int j = 1; j < n; j++) {
if (matrix[j-1][i] != matrix[j][i]) {
x = gcd(x, count);
count = 1;
} else {
count++;
}
}
}
out.println(x);
out.close();
}
private static int gcd(int a, int b) {
if (a <= b) {
return gcdHelper(a, b);
}
return gcdHelper(b, a);
}
private static int gcdHelper(int a, int b) {
if (b == 0)
return a;
return gcdHelper(b, a % b);
}
private static int getCompression(int startX, int startY, int n, char[][] matrix) {
if (n == 1) {
return 1;
}
int m = n / 2;
// check 4 sub matrices
// which have starting index as (startX, startY), (startX + m, startY + 0), (startX + 0, startY + m), (startX + m, startY + m)
int upper = Math.min(getCompression(startX, startY, m, matrix), getCompression(startX, startY + m, m, matrix));
int lower = Math.min(getCompression(startX + m, startY, m, matrix), getCompression(startX + m, startY + m, m, matrix));
if (Math.min(upper, lower) < m) {
return Math.min(upper, lower);
}
// check first bits of four sub matrices
int one = getValue(startX, startY, matrix);
int two = getValue(startX, startY + m, matrix);
int three = getValue(startX+m, startY, matrix);
int four = getValue(startX+m, startY+m, matrix);
if ((one == two) && (one == three) && (one == four)) {
return n;
}
return Math.min(upper, lower);
}
private static int getValue(int x, int y, char[][] matrix) {
// y / 4 th bit
// y % 4 th bit from left
int bit = getValue(matrix[x][y / 4]);
int mask = (3 - (y % 4));
return (bit >> mask) & 1;
}
private static int getValue(char hexChar) {
int bit;
if (Character.isAlphabetic(hexChar)) {
bit = (hexChar - 'A') + 10;
} else {
bit = hexChar - '0';
}
return bit;
}
static class InputReader {
public BufferedReader reader;
public StringTokenizer tokenizer;
public InputReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream), 32768);
tokenizer = null;
}
public String next() {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
tokenizer = new StringTokenizer(reader.readLine());
} catch (IOException e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}
public long nextLong() {
return Long.parseLong(next());
}
public double nextDouble() {
return Double.parseDouble(next());
}
public int nextInt() {
return Integer.parseInt(next());
}
}
}
| 4JAVA
| {
"input": [
"8\nE7\nE7\nE7\n00\n00\nE7\nE7\nE7\n",
"4\n7\nF\nF\nF\n",
"8\nFF\nFF\n00\n00\nFF\nFF\n00\n00\n",
"4\n0\n0\n0\n1\n",
"8\n33\n33\n33\n33\n33\n33\n11\n11\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"12\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n",
"4\nA\nA\nA\nA\n",
"12\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC0\nFC0\nFC0\nF11\nF11\nF11\n",
"8\nCD\nCD\nCD\nCD\nCE\nCE\nCE\nCE\n",
"4\nE\nE\nE\nE\n",
"4\n3\n3\n3\n3\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC0\nFC0\nFC3\nFC3\nFC1\nFC1\n",
"4\nF\n0\nF\n0\n",
"12\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n",
"8\n0F\n0F\nF0\nF0\n0F\n0F\nF0\nF0\n",
"4\n3\nF\nF\nF\n",
"12\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n3\nC\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"4\nF\nF\nF\nF\n",
"12\nE38\n3E8\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nCE\nCE\n",
"4\nE\nE\nD\nE\n",
"4\n3\n3\n3\n1\n",
"12\n100\n100\n100\n100\n100\n100\n100\n100\n100\n100\n000\n100\n",
"8\n0F\n0F\n0F\nF0\n0F\n0F\nF0\nF0\n",
"4\n3\nF\nE\nF\n",
"12\nFFF\nFEF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n5\nC\n",
"8\nE7\nE7\nE7\n00\n00\nE7\n7E\nE7\n",
"4\n5\nF\nF\nF\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\n",
"12\nE38\n3E8\nE38\nE38\nE38\nE38\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nCE\n",
"4\nE\nE\nD\nF\n",
"4\n3\n3\n3\n0\n",
"12\n100\n100\n100\n101\n100\n100\n100\n100\n100\n100\n000\n100\n",
"4\n1\nF\nE\nF\n",
"12\nFFF\nFEF\nFFF\nEFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n3\nC\n5\nD\n",
"8\nE7\nE7\nE7\n00\n00\nE7\n7F\nE7\n",
"4\n9\nF\nF\nF\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\nE38\nE38\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nFC0\nF0C\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nCF\n",
"4\nE\nF\nD\nF\n",
"4\n3\n0\n3\n0\n",
"12\n100\n100\n101\n101\n100\n100\n100\n100\n100\n100\n000\n100\n",
"4\n0\nF\nE\nF\n",
"12\nFFF\nEFF\nFFF\nEFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n1\nC\n5\nD\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nFFC0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0DFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\nE38\n83E\nE38\nE38\nE38\nE38\n83E\nE38\n",
"12\nFC0\n0CF\nFC0\nFC0\nFC0\nF0C\nFC0\nFC0\nFC0\nFC0\nF0C\nFB0\n",
"8\nCD\nCC\nCD\nCD\nCE\nCE\nBE\nFC\n",
"4\nE\nF\nE\nF\n",
"4\n0\n0\n3\n0\n",
"12\n100\n100\n101\n101\n100\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nE\nE\nF\n",
"12\nFFF\nEFF\nFFF\nEFF\nFFF\nFFF\nEFF\nFFF\nFFF\nFFF\nFC1\nFC1\n",
"4\n2\nC\n5\nD\n",
"16\nFFC0\nFFC0\nFFC0\nFFC0\nFFC0\nFFD0\nCFF0\nFFC0\nFFC0\nFFC0\n0CFF\nFFC0\nFFC0\nFFC0\n0DFF\nFFC0\n",
"12\nE38\n3E8\nE38\n83E\n83E\n83E\nE38\nE38\nE38\nE38\n83E\nE38\n",
"4\nE\nF\nF\nF\n",
"4\n0\n0\n2\n0\n",
"12\n100\n110\n101\n101\n100\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nF\nE\nE\n",
"4\n2\nD\n5\nD\n",
"12\nE38\n3E8\nE38\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83E\nE38\n",
"4\n0\n0\n4\n0\n",
"12\n100\n110\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n0\nF\nD\nE\n",
"4\n3\nD\n5\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83E\nE38\n",
"4\nF\nE\nF\nF\n",
"12\n101\n110\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nD\n5\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\nE38\nE38\n83D\nE38\n",
"4\nE\nE\nF\nF\n",
"12\n101\n010\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nD\n9\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\n83E\nE38\n83D\nE38\n",
"12\n101\n000\n101\n101\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n1\nE\n9\nD\n",
"12\nE38\n3E8\n3E8\n83E\n83E\n83E\nE38\n83E\n83E\nE38\nD38\nE38\n",
"12\n101\n000\n101\n100\n110\n100\n100\n100\n100\n101\n000\n100\n",
"4\n2\nE\n9\nD\n",
"12\nE38\n3E8\n3E8\n83D\n83E\n83E\nE38\n83E\n83E\nE38\nD38\nE38\n",
"12\n101\n000\n101\n000\n110\n100\n100\n100\n100\n101\n000\n100\n",
"12\nE38\n3E8\n3E8\n83D\n83E\n83E\nE38\nE38\n83E\nE38\nD38\nE38\n",
"12\n001\n000\n101\n000\n110\n100\n100\n100\n100\n101\n000\n100\n"
],
"output": [
"1",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"6",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1\n",
"4\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
1136_D. Nastya Is Buying Lunch_317 | At the big break Nastya came to the school dining room. There are n pupils in the school, numbered from 1 to n. Unfortunately, Nastya came pretty late, so that all pupils had already stood in the queue, i.e. Nastya took the last place in the queue. Of course, it's a little bit sad for Nastya, but she is not going to despond because some pupils in the queue can agree to change places with some other pupils.
Formally, there are some pairs u, v such that if the pupil with number u stands directly in front of the pupil with number v, Nastya can ask them and they will change places.
Nastya asks you to find the maximal number of places in queue she can move forward.
Input
The first line contains two integers n and m (1 ≤ n ≤ 3 ⋅ 10^{5}, 0 ≤ m ≤ 5 ⋅ 10^{5}) — the number of pupils in the queue and number of pairs of pupils such that the first one agrees to change places with the second one if the first is directly in front of the second.
The second line contains n integers p_1, p_2, ..., p_n — the initial arrangement of pupils in the queue, from the queue start to its end (1 ≤ p_i ≤ n, p is a permutation of integers from 1 to n). In other words, p_i is the number of the pupil who stands on the i-th position in the queue.
The i-th of the following m lines contains two integers u_i, v_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i), denoting that the pupil with number u_i agrees to change places with the pupil with number v_i if u_i is directly in front of v_i. It is guaranteed that if i ≠ j, than v_i ≠ v_j or u_i ≠ u_j. Note that it is possible that in some pairs both pupils agree to change places with each other.
Nastya is the last person in the queue, i.e. the pupil with number p_n.
Output
Print a single integer — the number of places in queue she can move forward.
Examples
Input
2 1
1 2
1 2
Output
1
Input
3 3
3 1 2
1 2
3 1
3 2
Output
2
Input
5 2
3 1 5 4 2
5 2
5 4
Output
1
Note
In the first example Nastya can just change places with the first pupil in the queue.
Optimal sequence of changes in the second example is
* change places for pupils with numbers 1 and 3.
* change places for pupils with numbers 3 and 2.
* change places for pupils with numbers 1 and 2.
The queue looks like [3, 1, 2], then [1, 3, 2], then [1, 2, 3], and finally [2, 1, 3] after these operations. | import sys,math
from fractions import gcd
from collections import defaultdict
from io import BytesIO
import hashlib
sys.stdin = BytesIO(sys.stdin.read())
input = lambda: sys.stdin.readline().rstrip('\r\n')
#n = int(input())
n,m = [int(x) for x in input().split(' ')]
arr = [int(x) for x in input().split(' ')]
arr = arr[::-1]
ds = defaultdict(set)
for _ in range(m):
a,b = [int(x) for x in input().split(' ')]
ds[b].add(a)
#print(ds)
prep = set()
nast = arr[0]
res = 0
for i in range(1,n):
if arr[i] in ds[nast]:
fl = 1
for el in prep:
if arr[i] not in ds[el]:
fl = 0
break
if fl == 0:
prep.add(arr[i])
else:
res += 1
else:
prep.add(arr[i])
print(res) | 1Python2
| {
"input": [
"5 2\n3 1 5 4 2\n5 2\n5 4\n",
"3 3\n3 1 2\n1 2\n3 1\n3 2\n",
"2 1\n1 2\n1 2\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 3\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n9 1\n10 4\n",
"2 0\n1 2\n",
"3 2\n1 2 3\n1 2\n2 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 3\n1 5\n",
"1 0\n1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 2\n1 4\n2 5\n1 3\n5 4\n5 3\n3 1\n",
"2 1\n1 2\n2 1\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n9 1\n10 4\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n4 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n4 1\n10 4\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 19\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 2\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 20\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n6 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 10\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 10\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 9\n10 3\n6 9\n",
"3 2\n1 2 3\n1 2\n2 2\n",
"3 3\n3 1 2\n1 2\n3 1\n3 1\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 3\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n4 1\n10 4\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 1\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 6\n",
"3 2\n1 2 3\n1 1\n2 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 2\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 4\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 1\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n2 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n4 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 2\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n4 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n2 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n8 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 8\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"3 2\n1 2 3\n2 2\n2 1\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 4\n1 5\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n3 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 2\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n7 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n15 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 19\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n1 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n2 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n2 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 8\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"3 3\n3 1 2\n1 2\n2 1\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n9 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n5 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 6\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 4\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 9\n1 6\n7 9\n1 9\n5 4\n1 3\n10 4\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 5\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 13\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 1\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 3\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n4 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n12 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 9\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 8\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 5\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 5\n1 5\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 2\n10 6\n8 6\n5 6\n7 6\n8 10\n5 2\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n2 5\n1 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 13\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n2 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n9 10\n5 10\n7 10\n4 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n5 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 14\n18 7\n6 5\n19 10\n6 7\n11 6\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 9\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 4\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 4\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 5\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 12\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 13\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n"
],
"output": [
"1\n",
"2\n",
"1\n",
"4\n",
"0\n",
"0\n",
"4\n",
"1\n",
"0\n",
"11\n",
"2\n",
"0\n",
"4\n",
"11\n",
"2\n",
"10\n",
"0\n",
"1\n",
"3\n",
"7\n",
"5\n",
"4\n",
"4\n",
"11\n",
"0\n",
"11\n",
"2\n",
"10\n",
"0\n",
"3\n",
"2\n",
"3\n",
"3\n",
"0\n",
"1\n",
"2\n",
"2\n",
"11\n",
"1\n",
"0\n",
"2\n",
"0\n",
"4\n",
"0\n",
"11\n",
"2\n",
"0\n",
"2\n",
"11\n",
"0\n",
"3\n",
"0\n",
"3\n",
"0\n",
"4\n",
"5\n",
"5\n",
"0\n",
"1\n",
"7\n",
"2\n",
"10\n",
"0\n",
"1\n",
"3\n",
"0\n",
"2\n",
"1\n",
"0\n",
"0\n",
"11\n",
"0\n",
"2\n",
"11\n",
"0\n",
"3\n",
"0\n",
"5\n",
"5\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"0\n",
"11\n",
"0\n",
"10\n",
"0\n"
]
} | 2CODEFORCES
|
1136_D. Nastya Is Buying Lunch_318 | At the big break Nastya came to the school dining room. There are n pupils in the school, numbered from 1 to n. Unfortunately, Nastya came pretty late, so that all pupils had already stood in the queue, i.e. Nastya took the last place in the queue. Of course, it's a little bit sad for Nastya, but she is not going to despond because some pupils in the queue can agree to change places with some other pupils.
Formally, there are some pairs u, v such that if the pupil with number u stands directly in front of the pupil with number v, Nastya can ask them and they will change places.
Nastya asks you to find the maximal number of places in queue she can move forward.
Input
The first line contains two integers n and m (1 ≤ n ≤ 3 ⋅ 10^{5}, 0 ≤ m ≤ 5 ⋅ 10^{5}) — the number of pupils in the queue and number of pairs of pupils such that the first one agrees to change places with the second one if the first is directly in front of the second.
The second line contains n integers p_1, p_2, ..., p_n — the initial arrangement of pupils in the queue, from the queue start to its end (1 ≤ p_i ≤ n, p is a permutation of integers from 1 to n). In other words, p_i is the number of the pupil who stands on the i-th position in the queue.
The i-th of the following m lines contains two integers u_i, v_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i), denoting that the pupil with number u_i agrees to change places with the pupil with number v_i if u_i is directly in front of v_i. It is guaranteed that if i ≠ j, than v_i ≠ v_j or u_i ≠ u_j. Note that it is possible that in some pairs both pupils agree to change places with each other.
Nastya is the last person in the queue, i.e. the pupil with number p_n.
Output
Print a single integer — the number of places in queue she can move forward.
Examples
Input
2 1
1 2
1 2
Output
1
Input
3 3
3 1 2
1 2
3 1
3 2
Output
2
Input
5 2
3 1 5 4 2
5 2
5 4
Output
1
Note
In the first example Nastya can just change places with the first pupil in the queue.
Optimal sequence of changes in the second example is
* change places for pupils with numbers 1 and 3.
* change places for pupils with numbers 3 and 2.
* change places for pupils with numbers 1 and 2.
The queue looks like [3, 1, 2], then [1, 3, 2], then [1, 2, 3], and finally [2, 1, 3] after these operations. | #include <bits/stdc++.h>
using namespace std;
const double PI = acos(-1.0);
const double eps = 1e-6;
const int inf = 1e9;
const long long llf = 1e18;
const int mod = 1e9 + 7;
const int maxn = 5e5 + 10;
int n, m;
int p[maxn];
vector<int> f[maxn];
vector<int> q;
int main() {
cin >> n >> m;
for (int i = 1; i <= n; i++) {
cin >> p[i];
}
for (int i = 1, u, v; i <= m; i++) {
cin >> u >> v;
f[u].push_back(v);
}
for (int i = 1; i <= n; i++) {
sort(f[i].begin(), f[i].end());
}
q.push_back(p[n]);
int ans = 0;
for (int i = n - 1; i >= 1; i--) {
int flag = 1;
for (int x : q) {
auto it = lower_bound(f[p[i]].begin(), f[p[i]].end(), x);
if (it != f[p[i]].end() && *it == x) {
} else {
q.push_back(p[i]);
flag = 0;
break;
}
}
if (flag) ans++;
}
cout << ans << endl;
return 0;
}
| 2C++
| {
"input": [
"5 2\n3 1 5 4 2\n5 2\n5 4\n",
"3 3\n3 1 2\n1 2\n3 1\n3 2\n",
"2 1\n1 2\n1 2\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 3\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n9 1\n10 4\n",
"2 0\n1 2\n",
"3 2\n1 2 3\n1 2\n2 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 3\n1 5\n",
"1 0\n1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 2\n1 4\n2 5\n1 3\n5 4\n5 3\n3 1\n",
"2 1\n1 2\n2 1\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n9 1\n10 4\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n4 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n4 1\n10 4\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 19\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 2\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 20\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n6 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 10\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 10\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 9\n10 3\n6 9\n",
"3 2\n1 2 3\n1 2\n2 2\n",
"3 3\n3 1 2\n1 2\n3 1\n3 1\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 3\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n4 1\n10 4\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 1\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 6\n",
"3 2\n1 2 3\n1 1\n2 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 2\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 4\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 1\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n2 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n4 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 2\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n4 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n2 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n8 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 8\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"3 2\n1 2 3\n2 2\n2 1\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 4\n1 5\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n3 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 2\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n7 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n15 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 19\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n1 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n2 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n2 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 8\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"3 3\n3 1 2\n1 2\n2 1\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n9 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n5 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 6\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 4\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 9\n1 6\n7 9\n1 9\n5 4\n1 3\n10 4\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 5\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 13\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 1\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 3\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n4 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n12 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 9\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 8\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 5\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 5\n1 5\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 2\n10 6\n8 6\n5 6\n7 6\n8 10\n5 2\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n2 5\n1 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 13\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n2 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n9 10\n5 10\n7 10\n4 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n5 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 14\n18 7\n6 5\n19 10\n6 7\n11 6\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 9\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 4\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 4\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 5\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 12\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 13\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n"
],
"output": [
"1\n",
"2\n",
"1\n",
"4\n",
"0\n",
"0\n",
"4\n",
"1\n",
"0\n",
"11\n",
"2\n",
"0\n",
"4\n",
"11\n",
"2\n",
"10\n",
"0\n",
"1\n",
"3\n",
"7\n",
"5\n",
"4\n",
"4\n",
"11\n",
"0\n",
"11\n",
"2\n",
"10\n",
"0\n",
"3\n",
"2\n",
"3\n",
"3\n",
"0\n",
"1\n",
"2\n",
"2\n",
"11\n",
"1\n",
"0\n",
"2\n",
"0\n",
"4\n",
"0\n",
"11\n",
"2\n",
"0\n",
"2\n",
"11\n",
"0\n",
"3\n",
"0\n",
"3\n",
"0\n",
"4\n",
"5\n",
"5\n",
"0\n",
"1\n",
"7\n",
"2\n",
"10\n",
"0\n",
"1\n",
"3\n",
"0\n",
"2\n",
"1\n",
"0\n",
"0\n",
"11\n",
"0\n",
"2\n",
"11\n",
"0\n",
"3\n",
"0\n",
"5\n",
"5\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"0\n",
"11\n",
"0\n",
"10\n",
"0\n"
]
} | 2CODEFORCES
|
1136_D. Nastya Is Buying Lunch_319 | At the big break Nastya came to the school dining room. There are n pupils in the school, numbered from 1 to n. Unfortunately, Nastya came pretty late, so that all pupils had already stood in the queue, i.e. Nastya took the last place in the queue. Of course, it's a little bit sad for Nastya, but she is not going to despond because some pupils in the queue can agree to change places with some other pupils.
Formally, there are some pairs u, v such that if the pupil with number u stands directly in front of the pupil with number v, Nastya can ask them and they will change places.
Nastya asks you to find the maximal number of places in queue she can move forward.
Input
The first line contains two integers n and m (1 ≤ n ≤ 3 ⋅ 10^{5}, 0 ≤ m ≤ 5 ⋅ 10^{5}) — the number of pupils in the queue and number of pairs of pupils such that the first one agrees to change places with the second one if the first is directly in front of the second.
The second line contains n integers p_1, p_2, ..., p_n — the initial arrangement of pupils in the queue, from the queue start to its end (1 ≤ p_i ≤ n, p is a permutation of integers from 1 to n). In other words, p_i is the number of the pupil who stands on the i-th position in the queue.
The i-th of the following m lines contains two integers u_i, v_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i), denoting that the pupil with number u_i agrees to change places with the pupil with number v_i if u_i is directly in front of v_i. It is guaranteed that if i ≠ j, than v_i ≠ v_j or u_i ≠ u_j. Note that it is possible that in some pairs both pupils agree to change places with each other.
Nastya is the last person in the queue, i.e. the pupil with number p_n.
Output
Print a single integer — the number of places in queue she can move forward.
Examples
Input
2 1
1 2
1 2
Output
1
Input
3 3
3 1 2
1 2
3 1
3 2
Output
2
Input
5 2
3 1 5 4 2
5 2
5 4
Output
1
Note
In the first example Nastya can just change places with the first pupil in the queue.
Optimal sequence of changes in the second example is
* change places for pupils with numbers 1 and 3.
* change places for pupils with numbers 3 and 2.
* change places for pupils with numbers 1 and 2.
The queue looks like [3, 1, 2], then [1, 3, 2], then [1, 2, 3], and finally [2, 1, 3] after these operations. | import sys
import math
import bisect
from math import sqrt
def input(): return sys.stdin.readline().strip()
def iinput(): return int(input())
def rinput(): return map(int, sys.stdin.readline().strip().split())
def get_list(): return list(map(int, sys.stdin.readline().strip().split()))
mod = int(1e9)+7
n, m = rinput()
p = [0] + get_list()
d = {i:set() for i in range(1, n+1)}
for _ in range(m):
u, v = rinput()
d[u].add(v)
last = p[n]
target = n
for i in range(n-1, 0, -1):
for j in range(i, target):
if p[j+1] in d[p[j]]:
p[j], p[j+1] = p[j+1], p[j]
else:
break
if p[target]!=last:
target -= 1
print(n-target)
# 3 1 4 5 2 | 3Python3
| {
"input": [
"5 2\n3 1 5 4 2\n5 2\n5 4\n",
"3 3\n3 1 2\n1 2\n3 1\n3 2\n",
"2 1\n1 2\n1 2\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 3\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n9 1\n10 4\n",
"2 0\n1 2\n",
"3 2\n1 2 3\n1 2\n2 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 3\n1 5\n",
"1 0\n1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 2\n1 4\n2 5\n1 3\n5 4\n5 3\n3 1\n",
"2 1\n1 2\n2 1\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n9 1\n10 4\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n4 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n4 1\n10 4\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 19\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 2\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 20\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n6 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 10\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 10\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 9\n10 3\n6 9\n",
"3 2\n1 2 3\n1 2\n2 2\n",
"3 3\n3 1 2\n1 2\n3 1\n3 1\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 3\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n4 1\n10 4\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 1\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 6\n",
"3 2\n1 2 3\n1 1\n2 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 2\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 4\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 1\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n2 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n4 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 2\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n4 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n2 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n8 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 8\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"3 2\n1 2 3\n2 2\n2 1\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 4\n1 5\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n3 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 2\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n7 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n15 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 19\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n1 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n2 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n2 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 8\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"3 3\n3 1 2\n1 2\n2 1\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n9 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n5 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 6\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 4\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 9\n1 6\n7 9\n1 9\n5 4\n1 3\n10 4\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 5\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 13\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 1\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 3\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n4 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n12 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 9\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 8\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 5\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 5\n1 5\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 2\n10 6\n8 6\n5 6\n7 6\n8 10\n5 2\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n2 5\n1 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 13\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n2 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n9 10\n5 10\n7 10\n4 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n5 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 14\n18 7\n6 5\n19 10\n6 7\n11 6\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 9\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 4\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 4\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 5\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 12\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 13\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n"
],
"output": [
"1\n",
"2\n",
"1\n",
"4\n",
"0\n",
"0\n",
"4\n",
"1\n",
"0\n",
"11\n",
"2\n",
"0\n",
"4\n",
"11\n",
"2\n",
"10\n",
"0\n",
"1\n",
"3\n",
"7\n",
"5\n",
"4\n",
"4\n",
"11\n",
"0\n",
"11\n",
"2\n",
"10\n",
"0\n",
"3\n",
"2\n",
"3\n",
"3\n",
"0\n",
"1\n",
"2\n",
"2\n",
"11\n",
"1\n",
"0\n",
"2\n",
"0\n",
"4\n",
"0\n",
"11\n",
"2\n",
"0\n",
"2\n",
"11\n",
"0\n",
"3\n",
"0\n",
"3\n",
"0\n",
"4\n",
"5\n",
"5\n",
"0\n",
"1\n",
"7\n",
"2\n",
"10\n",
"0\n",
"1\n",
"3\n",
"0\n",
"2\n",
"1\n",
"0\n",
"0\n",
"11\n",
"0\n",
"2\n",
"11\n",
"0\n",
"3\n",
"0\n",
"5\n",
"5\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"0\n",
"11\n",
"0\n",
"10\n",
"0\n"
]
} | 2CODEFORCES
|
1136_D. Nastya Is Buying Lunch_320 | At the big break Nastya came to the school dining room. There are n pupils in the school, numbered from 1 to n. Unfortunately, Nastya came pretty late, so that all pupils had already stood in the queue, i.e. Nastya took the last place in the queue. Of course, it's a little bit sad for Nastya, but she is not going to despond because some pupils in the queue can agree to change places with some other pupils.
Formally, there are some pairs u, v such that if the pupil with number u stands directly in front of the pupil with number v, Nastya can ask them and they will change places.
Nastya asks you to find the maximal number of places in queue she can move forward.
Input
The first line contains two integers n and m (1 ≤ n ≤ 3 ⋅ 10^{5}, 0 ≤ m ≤ 5 ⋅ 10^{5}) — the number of pupils in the queue and number of pairs of pupils such that the first one agrees to change places with the second one if the first is directly in front of the second.
The second line contains n integers p_1, p_2, ..., p_n — the initial arrangement of pupils in the queue, from the queue start to its end (1 ≤ p_i ≤ n, p is a permutation of integers from 1 to n). In other words, p_i is the number of the pupil who stands on the i-th position in the queue.
The i-th of the following m lines contains two integers u_i, v_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i), denoting that the pupil with number u_i agrees to change places with the pupil with number v_i if u_i is directly in front of v_i. It is guaranteed that if i ≠ j, than v_i ≠ v_j or u_i ≠ u_j. Note that it is possible that in some pairs both pupils agree to change places with each other.
Nastya is the last person in the queue, i.e. the pupil with number p_n.
Output
Print a single integer — the number of places in queue she can move forward.
Examples
Input
2 1
1 2
1 2
Output
1
Input
3 3
3 1 2
1 2
3 1
3 2
Output
2
Input
5 2
3 1 5 4 2
5 2
5 4
Output
1
Note
In the first example Nastya can just change places with the first pupil in the queue.
Optimal sequence of changes in the second example is
* change places for pupils with numbers 1 and 3.
* change places for pupils with numbers 3 and 2.
* change places for pupils with numbers 1 and 2.
The queue looks like [3, 1, 2], then [1, 3, 2], then [1, 2, 3], and finally [2, 1, 3] after these operations. | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.util.Set;
import java.util.InputMismatchException;
import java.io.IOException;
import java.util.ArrayList;
import java.util.HashSet;
import java.util.List;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*
* @author prakharjain
*/
public class Main {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
InputReader in = new InputReader(inputStream);
OutputWriter out = new OutputWriter(outputStream);
DNastyaIsBuyingLunch solver = new DNastyaIsBuyingLunch();
solver.solve(1, in, out);
out.close();
}
static class DNastyaIsBuyingLunch {
public void solve(int testNumber, InputReader in, OutputWriter out) {
int n = in.nextInt();
int m = in.nextInt();
int[] p = in.nextIntArray(n);
List[] f2s = new List[n + 1];
//Set[] s2f = new Set[n + 1];
Set<Integer> ls = new HashSet<>();
for (int i = 0; i <= n; i++) {
f2s[i] = new ArrayList();
//s2f[i] = new HashSet();
}
int last = p[n - 1];
for (int i = 0; i < m; i++) {
int u = in.nextInt();
int v = in.nextInt();
f2s[u].add(v);
if (v == last) {
ls.add(u);
}
//s2f[v].add(u);
}
//int max = s2f[last].size();
Set<Integer> blockers = new HashSet<>();
int ans = 0;
for (int i = n - 2; i >= 0; i--) {
int num = p[i];
if (ls.contains(num)) {
//todo
int bd = 0;
List<Integer> cl = f2s[num];
for (int j = 0; j < cl.size(); j++) {
int cn = cl.get(j);
if (blockers.contains(cn)) {
bd++;
}
}
if (bd == blockers.size()) {
ans++;
} else {
blockers.add(num);
}
} else {
blockers.add(num);
}
}
out.println(ans);
}
}
static class InputReader {
private InputStream stream;
private byte[] buf = new byte[1024];
private int curChar;
private int numChars;
private InputReader.SpaceCharFilter filter;
public InputReader(InputStream stream) {
this.stream = stream;
}
public static boolean isWhitespace(int c) {
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
public int read() {
if (numChars == -1) {
throw new InputMismatchException();
}
if (curChar >= numChars) {
curChar = 0;
try {
numChars = stream.read(buf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (numChars <= 0) {
return -1;
}
}
return buf[curChar++];
}
public int nextInt() {
int c = read();
while (isSpaceChar(c)) {
c = read();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
int res = 0;
do {
if (c < '0' || c > '9') {
throw new InputMismatchException();
}
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
public boolean isSpaceChar(int c) {
if (filter != null) {
return filter.isSpaceChar(c);
}
return isWhitespace(c);
}
public int[] nextIntArray(int n) {
int[] array = new int[n];
for (int i = 0; i < n; ++i) array[i] = nextInt();
return array;
}
public interface SpaceCharFilter {
public boolean isSpaceChar(int ch);
}
}
static class OutputWriter {
private final PrintWriter writer;
public OutputWriter(OutputStream outputStream) {
writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
}
public OutputWriter(Writer writer) {
this.writer = new PrintWriter(writer);
}
public void close() {
writer.close();
}
public void println(int i) {
writer.println(i);
}
}
}
| 4JAVA
| {
"input": [
"5 2\n3 1 5 4 2\n5 2\n5 4\n",
"3 3\n3 1 2\n1 2\n3 1\n3 2\n",
"2 1\n1 2\n1 2\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 3\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n9 1\n10 4\n",
"2 0\n1 2\n",
"3 2\n1 2 3\n1 2\n2 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 3\n1 5\n",
"1 0\n1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 2\n1 4\n2 5\n1 3\n5 4\n5 3\n3 1\n",
"2 1\n1 2\n2 1\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n9 1\n10 4\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n4 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 2\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n4 1\n10 4\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 19\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 2\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 20\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n6 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 10\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 10\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 4\n1 9\n10 3\n6 9\n",
"3 2\n1 2 3\n1 2\n2 2\n",
"3 3\n3 1 2\n1 2\n3 1\n3 1\n",
"10 23\n6 9 8 10 4 3 7 1 5 2\n7 2\n3 2\n2 4\n2 6\n7 5\n6 4\n10 7\n7 1\n6 8\n6 2\n8 10\n3 5\n3 1\n6 1\n10 3\n8 2\n10 1\n7 4\n10 5\n6 9\n6 5\n4 1\n10 4\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n2 1\n1 1\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 6\n",
"3 2\n1 2 3\n1 1\n2 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 2\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 8\n1 6\n7 9\n1 9\n5 4\n1 3\n10 4\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 1\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n2 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n4 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 2\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n4 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n2 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n8 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 8\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"3 2\n1 2 3\n2 2\n2 1\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 4\n1 5\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n3 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 2\n10 6\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n7 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n15 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 19\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n1 5\n1 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n2 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n2 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n2 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 8\n7 10\n2 4\n1 10\n10 3\n6 9\n",
"3 3\n3 1 2\n1 2\n2 1\n3 1\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n9 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n5 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 6\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 4\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 5\n2 9\n1 6\n7 9\n1 9\n5 4\n1 3\n10 4\n8 6\n5 6\n7 6\n8 10\n5 1\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 5\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 13\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 1\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n8 10\n5 10\n7 10\n2 3\n1 10\n10 3\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n4 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n12 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 9\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 1\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 8\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 5\n6 15\n2 9\n10 1\n17 14\n19 14\n3 10\n17 5\n2 13\n1 14\n",
"5 4\n1 2 3 4 5\n4 5\n2 5\n1 5\n1 5\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 9\n1 9\n5 4\n1 2\n10 6\n8 6\n5 6\n7 6\n8 10\n5 2\n7 10\n2 7\n1 10\n10 3\n6 9\n",
"5 11\n5 1 3 4 2\n5 1\n5 2\n2 5\n1 1\n1 2\n1 4\n2 5\n1 5\n5 4\n5 3\n3 1\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n3 13\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n2 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 2\n1 6\n7 9\n1 9\n5 4\n1 3\n10 6\n8 6\n5 6\n7 6\n9 10\n5 10\n7 10\n4 7\n1 10\n10 3\n6 9\n",
"10 20\n2 1 3 9 5 4 7 8 6 10\n4 7\n6 4\n1 4\n2 8\n1 6\n7 7\n1 9\n5 4\n1 3\n5 6\n8 5\n5 6\n7 6\n8 10\n5 10\n7 10\n2 7\n1 10\n10 2\n6 9\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 14\n18 7\n6 5\n19 10\n6 7\n11 6\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 8\n6 10\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n18 16\n8 9\n12 5\n17 10\n2 9\n6 15\n2 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 13\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 9\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 8\n20 10\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 16\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 4\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n6 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 8\n1 5\n20 10\n16 5\n6 4\n20 19\n17 8\n13 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 5\n8 9\n12 5\n17 10\n2 9\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n1 12\n1 14\n",
"20 47\n4 6 11 15 9 17 3 1 19 14 12 8 2 5 7 20 16 18 13 10\n18 10\n6 3\n15 17\n18 7\n4 5\n19 10\n6 7\n11 3\n1 10\n17 3\n6 14\n7 10\n19 5\n12 10\n1 8\n6 11\n18 5\n6 8\n12 12\n1 5\n20 11\n16 8\n3 10\n20 19\n17 8\n19 10\n2 5\n19 8\n6 9\n16 3\n16 10\n19 7\n17 16\n10 13\n8 9\n12 5\n17 10\n2 15\n6 15\n4 9\n10 1\n17 14\n19 14\n2 10\n17 5\n2 12\n1 14\n"
],
"output": [
"1\n",
"2\n",
"1\n",
"4\n",
"0\n",
"0\n",
"4\n",
"1\n",
"0\n",
"11\n",
"2\n",
"0\n",
"4\n",
"11\n",
"2\n",
"10\n",
"0\n",
"1\n",
"3\n",
"7\n",
"5\n",
"4\n",
"4\n",
"11\n",
"0\n",
"11\n",
"2\n",
"10\n",
"0\n",
"3\n",
"2\n",
"3\n",
"3\n",
"0\n",
"1\n",
"2\n",
"2\n",
"11\n",
"1\n",
"0\n",
"2\n",
"0\n",
"4\n",
"0\n",
"11\n",
"2\n",
"0\n",
"2\n",
"11\n",
"0\n",
"3\n",
"0\n",
"3\n",
"0\n",
"4\n",
"5\n",
"5\n",
"0\n",
"1\n",
"7\n",
"2\n",
"10\n",
"0\n",
"1\n",
"3\n",
"0\n",
"2\n",
"1\n",
"0\n",
"0\n",
"11\n",
"0\n",
"2\n",
"11\n",
"0\n",
"3\n",
"0\n",
"5\n",
"5\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"0\n",
"11\n",
"0\n",
"10\n",
"0\n"
]
} | 2CODEFORCES
|
1155_A. Reverse a Substring_321 | You are given a string s consisting of n lowercase Latin letters.
Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r.
You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string.
If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s.
The second line of the input contains the string s of length n consisting only of lowercase Latin letters.
Output
If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any.
Examples
Input
7
abacaba
Output
YES
2 5
Input
6
aabcfg
Output
NO
Note
In the first testcase the resulting string is "aacabba". | import sys
sys.setrecursionlimit(10 ** 6)
# pow(3,2,5)==4
inp=input()
inp2=raw_input()
last=inp2[0]
flag=0
for x,i in enumerate(inp2[1:],1):
if (ord(i)<ord(last)):
flag=1
print "YES"
print x,x+1
break
last=i
if not flag:
print "NO"
| 1Python2
| {
"input": [
"7\nabacaba\n",
"6\naabcfg\n",
"6\nbabcdc\n",
"5\nbadec\n",
"3\naba\n",
"7\nbaaaccb\n",
"3\naaa\n",
"4\npara\n",
"3\nbac\n",
"7\nbdadccd\n",
"2\nba\n",
"7\nstoopid\n",
"7\nyxyzyyx\n",
"3\nacb\n",
"7\nbcbcbdc\n",
"7\nabacaba\n",
"2\naa\n",
"12\nparapapapaaa\n",
"6\nbabddc\n",
"7\nbd`dccd\n",
"2\nab\n",
"7\nxxyzyyy\n",
"6\naagcfb\n",
"7\nbbbcdbc\n",
"4\npbra\n",
"3\ncab\n",
"7\nstnopid\n",
"3\nbca\n",
"7\nbbbcbdc\n",
"7\nabac`ba\n",
"2\nb`\n",
"12\nparap`papaaa\n",
"7\nabacaca\n",
"4\nqbra\n",
"3\ncba\n",
"7\nbd`dcbd\n",
"2\nb_\n",
"7\ndiponts\n",
"7\nxwyzyyy\n",
"3\naca\n",
"7\ncbbcbdb\n",
"12\nparaq`papaaa\n",
"6\naagdfb\n",
"4\nbqra\n",
"7\nciponts\n",
"7\nxwyzyxy\n",
"7\nbdbcbbc\n",
"12\noaraq`papaaa\n",
"4\ncqra\n",
"7\ndiqonts\n",
"7\nyxyzywx\n",
"7\nbdbcbbd\n",
"12\noaraq`papaab\n",
"4\ndqra\n",
"7\ndiqotns\n",
"7\nxwyxyzy\n",
"7\nbdacbbd\n",
"12\naaapap`qarao\n",
"4\narqd\n",
"7\nxwyyyzx\n",
"7\ncdacbbd\n",
"12\naaaqap`qarao\n",
"4\narqe\n",
"12\naaaqapaq`rao\n",
"4\nbrqe\n",
"12\naaaqapaq`rbo\n",
"4\neqrb\n",
"12\naaabapaq`rqo\n",
"12\noqr`qapabaaa\n",
"12\noqr_qapabaaa\n",
"12\nopr_qapabaaa\n",
"12\nopr^qapabaaa\n",
"12\nopr^rapabaaa\n",
"12\nopr^rapacaaa\n",
"12\naaacapar^rpo\n",
"12\naaacappr^rao\n",
"12\noar^rppacaaa\n",
"12\noar^rppacaba\n",
"12\nora^rppacaba\n",
"12\nora^rppacbba\n",
"12\nabbcappr^aro\n",
"12\nabbcappr_aro\n",
"12\nabbcappr_aqo\n",
"12\noqa_rppacbba\n",
"6\nbaaddc\n",
"7\nbaaacdb\n",
"4\naarp\n",
"3\nbad\n",
"2\nac\n",
"7\nstnopic\n",
"7\nyxyzxyx\n",
"7\nbcbcbcd\n",
"7\nabacbaa\n",
"12\nparapapapa`a\n",
"7\nabac`ab\n",
"6\naabceg\n",
"6\nbcbdda\n",
"4\narbp\n",
"3\nbab\n",
"7\nbd`dbcd\n",
"2\nca\n",
"7\ndipsnto\n",
"3\nbda\n",
"7\ncdbcbbb\n",
"7\nab`caba\n",
"2\nbb\n",
"12\naaapap`parap\n",
"4\nqara\n",
"3\ncb`\n",
"7\ndbcd`db\n",
"2\nc_\n",
"7\nxwyyyyy\n",
"3\nadb\n",
"7\ndbbcbdb\n",
"12\nqarap`papaaa\n",
"6\ngaadfb\n",
"4\nbqr`\n",
"7\nchponts\n"
],
"output": [
"YES\n2 3\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n2 3\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"NO\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n5 6\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n1 2\n",
"NO\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"NO\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n2 3\n",
"NO\n",
"YES\n4 5\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n"
]
} | 2CODEFORCES
|
1155_A. Reverse a Substring_322 | You are given a string s consisting of n lowercase Latin letters.
Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r.
You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string.
If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s.
The second line of the input contains the string s of length n consisting only of lowercase Latin letters.
Output
If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any.
Examples
Input
7
abacaba
Output
YES
2 5
Input
6
aabcfg
Output
NO
Note
In the first testcase the resulting string is "aacabba". | #include <bits/stdc++.h>
using namespace std;
int n, m, a, b, c, d;
struct node {
int a, b;
};
bool cmp(node x, node y) {
if (x.a == y.a) return x.b > y.b;
return x.a > y.a;
}
string s;
int num[30];
char cr, cr1;
int check(char cc) {
for (int i = cc - 'a' + 1; i < 26; ++i) {
if (num[i]) return num[i];
}
return 0;
}
int main() {
cin >> n;
getchar();
while ((cr = getchar()) && cr != '\n') {
m++;
if (!num[cr - 'a']) {
num[cr - 'a'] = m;
}
if (check(cr)) {
cout << "YES" << endl;
cout << check(cr) << " " << m << endl;
return 0;
}
}
cout << "NO" << endl;
return 0;
}
| 2C++
| {
"input": [
"7\nabacaba\n",
"6\naabcfg\n",
"6\nbabcdc\n",
"5\nbadec\n",
"3\naba\n",
"7\nbaaaccb\n",
"3\naaa\n",
"4\npara\n",
"3\nbac\n",
"7\nbdadccd\n",
"2\nba\n",
"7\nstoopid\n",
"7\nyxyzyyx\n",
"3\nacb\n",
"7\nbcbcbdc\n",
"7\nabacaba\n",
"2\naa\n",
"12\nparapapapaaa\n",
"6\nbabddc\n",
"7\nbd`dccd\n",
"2\nab\n",
"7\nxxyzyyy\n",
"6\naagcfb\n",
"7\nbbbcdbc\n",
"4\npbra\n",
"3\ncab\n",
"7\nstnopid\n",
"3\nbca\n",
"7\nbbbcbdc\n",
"7\nabac`ba\n",
"2\nb`\n",
"12\nparap`papaaa\n",
"7\nabacaca\n",
"4\nqbra\n",
"3\ncba\n",
"7\nbd`dcbd\n",
"2\nb_\n",
"7\ndiponts\n",
"7\nxwyzyyy\n",
"3\naca\n",
"7\ncbbcbdb\n",
"12\nparaq`papaaa\n",
"6\naagdfb\n",
"4\nbqra\n",
"7\nciponts\n",
"7\nxwyzyxy\n",
"7\nbdbcbbc\n",
"12\noaraq`papaaa\n",
"4\ncqra\n",
"7\ndiqonts\n",
"7\nyxyzywx\n",
"7\nbdbcbbd\n",
"12\noaraq`papaab\n",
"4\ndqra\n",
"7\ndiqotns\n",
"7\nxwyxyzy\n",
"7\nbdacbbd\n",
"12\naaapap`qarao\n",
"4\narqd\n",
"7\nxwyyyzx\n",
"7\ncdacbbd\n",
"12\naaaqap`qarao\n",
"4\narqe\n",
"12\naaaqapaq`rao\n",
"4\nbrqe\n",
"12\naaaqapaq`rbo\n",
"4\neqrb\n",
"12\naaabapaq`rqo\n",
"12\noqr`qapabaaa\n",
"12\noqr_qapabaaa\n",
"12\nopr_qapabaaa\n",
"12\nopr^qapabaaa\n",
"12\nopr^rapabaaa\n",
"12\nopr^rapacaaa\n",
"12\naaacapar^rpo\n",
"12\naaacappr^rao\n",
"12\noar^rppacaaa\n",
"12\noar^rppacaba\n",
"12\nora^rppacaba\n",
"12\nora^rppacbba\n",
"12\nabbcappr^aro\n",
"12\nabbcappr_aro\n",
"12\nabbcappr_aqo\n",
"12\noqa_rppacbba\n",
"6\nbaaddc\n",
"7\nbaaacdb\n",
"4\naarp\n",
"3\nbad\n",
"2\nac\n",
"7\nstnopic\n",
"7\nyxyzxyx\n",
"7\nbcbcbcd\n",
"7\nabacbaa\n",
"12\nparapapapa`a\n",
"7\nabac`ab\n",
"6\naabceg\n",
"6\nbcbdda\n",
"4\narbp\n",
"3\nbab\n",
"7\nbd`dbcd\n",
"2\nca\n",
"7\ndipsnto\n",
"3\nbda\n",
"7\ncdbcbbb\n",
"7\nab`caba\n",
"2\nbb\n",
"12\naaapap`parap\n",
"4\nqara\n",
"3\ncb`\n",
"7\ndbcd`db\n",
"2\nc_\n",
"7\nxwyyyyy\n",
"3\nadb\n",
"7\ndbbcbdb\n",
"12\nqarap`papaaa\n",
"6\ngaadfb\n",
"4\nbqr`\n",
"7\nchponts\n"
],
"output": [
"YES\n2 3\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n2 3\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"NO\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n5 6\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n1 2\n",
"NO\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"NO\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n2 3\n",
"NO\n",
"YES\n4 5\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n"
]
} | 2CODEFORCES
|
1155_A. Reverse a Substring_323 | You are given a string s consisting of n lowercase Latin letters.
Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r.
You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string.
If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s.
The second line of the input contains the string s of length n consisting only of lowercase Latin letters.
Output
If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any.
Examples
Input
7
abacaba
Output
YES
2 5
Input
6
aabcfg
Output
NO
Note
In the first testcase the resulting string is "aacabba". | '''
Online Python Compiler.
Code, Compile, Run and Debug python program online.
Write your code in this editor and press "Run" button to execute it.
'''
def main():
n = input()
s = input()
for i in range(len(s)-1):
if s[i]>s[i+1]:
print('YES')
print(i+1, i+2)
return
print('NO')
main() | 3Python3
| {
"input": [
"7\nabacaba\n",
"6\naabcfg\n",
"6\nbabcdc\n",
"5\nbadec\n",
"3\naba\n",
"7\nbaaaccb\n",
"3\naaa\n",
"4\npara\n",
"3\nbac\n",
"7\nbdadccd\n",
"2\nba\n",
"7\nstoopid\n",
"7\nyxyzyyx\n",
"3\nacb\n",
"7\nbcbcbdc\n",
"7\nabacaba\n",
"2\naa\n",
"12\nparapapapaaa\n",
"6\nbabddc\n",
"7\nbd`dccd\n",
"2\nab\n",
"7\nxxyzyyy\n",
"6\naagcfb\n",
"7\nbbbcdbc\n",
"4\npbra\n",
"3\ncab\n",
"7\nstnopid\n",
"3\nbca\n",
"7\nbbbcbdc\n",
"7\nabac`ba\n",
"2\nb`\n",
"12\nparap`papaaa\n",
"7\nabacaca\n",
"4\nqbra\n",
"3\ncba\n",
"7\nbd`dcbd\n",
"2\nb_\n",
"7\ndiponts\n",
"7\nxwyzyyy\n",
"3\naca\n",
"7\ncbbcbdb\n",
"12\nparaq`papaaa\n",
"6\naagdfb\n",
"4\nbqra\n",
"7\nciponts\n",
"7\nxwyzyxy\n",
"7\nbdbcbbc\n",
"12\noaraq`papaaa\n",
"4\ncqra\n",
"7\ndiqonts\n",
"7\nyxyzywx\n",
"7\nbdbcbbd\n",
"12\noaraq`papaab\n",
"4\ndqra\n",
"7\ndiqotns\n",
"7\nxwyxyzy\n",
"7\nbdacbbd\n",
"12\naaapap`qarao\n",
"4\narqd\n",
"7\nxwyyyzx\n",
"7\ncdacbbd\n",
"12\naaaqap`qarao\n",
"4\narqe\n",
"12\naaaqapaq`rao\n",
"4\nbrqe\n",
"12\naaaqapaq`rbo\n",
"4\neqrb\n",
"12\naaabapaq`rqo\n",
"12\noqr`qapabaaa\n",
"12\noqr_qapabaaa\n",
"12\nopr_qapabaaa\n",
"12\nopr^qapabaaa\n",
"12\nopr^rapabaaa\n",
"12\nopr^rapacaaa\n",
"12\naaacapar^rpo\n",
"12\naaacappr^rao\n",
"12\noar^rppacaaa\n",
"12\noar^rppacaba\n",
"12\nora^rppacaba\n",
"12\nora^rppacbba\n",
"12\nabbcappr^aro\n",
"12\nabbcappr_aro\n",
"12\nabbcappr_aqo\n",
"12\noqa_rppacbba\n",
"6\nbaaddc\n",
"7\nbaaacdb\n",
"4\naarp\n",
"3\nbad\n",
"2\nac\n",
"7\nstnopic\n",
"7\nyxyzxyx\n",
"7\nbcbcbcd\n",
"7\nabacbaa\n",
"12\nparapapapa`a\n",
"7\nabac`ab\n",
"6\naabceg\n",
"6\nbcbdda\n",
"4\narbp\n",
"3\nbab\n",
"7\nbd`dbcd\n",
"2\nca\n",
"7\ndipsnto\n",
"3\nbda\n",
"7\ncdbcbbb\n",
"7\nab`caba\n",
"2\nbb\n",
"12\naaapap`parap\n",
"4\nqara\n",
"3\ncb`\n",
"7\ndbcd`db\n",
"2\nc_\n",
"7\nxwyyyyy\n",
"3\nadb\n",
"7\ndbbcbdb\n",
"12\nqarap`papaaa\n",
"6\ngaadfb\n",
"4\nbqr`\n",
"7\nchponts\n"
],
"output": [
"YES\n2 3\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n2 3\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"NO\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n5 6\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n1 2\n",
"NO\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"NO\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n2 3\n",
"NO\n",
"YES\n4 5\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n"
]
} | 2CODEFORCES
|
1155_A. Reverse a Substring_324 | You are given a string s consisting of n lowercase Latin letters.
Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r.
You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string.
If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s.
The second line of the input contains the string s of length n consisting only of lowercase Latin letters.
Output
If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any.
Examples
Input
7
abacaba
Output
YES
2 5
Input
6
aabcfg
Output
NO
Note
In the first testcase the resulting string is "aacabba". | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Scanner;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*
* @author alecs6k
*/
public class Main {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
Scanner in = new Scanner(inputStream);
PrintWriter out = new PrintWriter(outputStream);
codeforces1 solver = new codeforces1();
solver.solve(1, in, out);
out.close();
}
static class codeforces1 {
public void solve(int testNumber, Scanner leer, PrintWriter out) {
int n = leer.nextInt();
String cad = leer.next();
int p1 = 0, p2 = 0;
boolean t = false;
for (int i = 0; i < n - 1; i++) {
char a = cad.charAt(i);
char b = cad.charAt(i + 1);
if (b < a) {
p1 = i;
p2 = i + 1;
t = true;
//out.println(a+" "+b);
break;
}
}
p1++;
p2++;
if (t) {
out.println("YES");
out.println(p1 + " " + p2);
} else {
out.println("NO");
}
}
}
}
| 4JAVA
| {
"input": [
"7\nabacaba\n",
"6\naabcfg\n",
"6\nbabcdc\n",
"5\nbadec\n",
"3\naba\n",
"7\nbaaaccb\n",
"3\naaa\n",
"4\npara\n",
"3\nbac\n",
"7\nbdadccd\n",
"2\nba\n",
"7\nstoopid\n",
"7\nyxyzyyx\n",
"3\nacb\n",
"7\nbcbcbdc\n",
"7\nabacaba\n",
"2\naa\n",
"12\nparapapapaaa\n",
"6\nbabddc\n",
"7\nbd`dccd\n",
"2\nab\n",
"7\nxxyzyyy\n",
"6\naagcfb\n",
"7\nbbbcdbc\n",
"4\npbra\n",
"3\ncab\n",
"7\nstnopid\n",
"3\nbca\n",
"7\nbbbcbdc\n",
"7\nabac`ba\n",
"2\nb`\n",
"12\nparap`papaaa\n",
"7\nabacaca\n",
"4\nqbra\n",
"3\ncba\n",
"7\nbd`dcbd\n",
"2\nb_\n",
"7\ndiponts\n",
"7\nxwyzyyy\n",
"3\naca\n",
"7\ncbbcbdb\n",
"12\nparaq`papaaa\n",
"6\naagdfb\n",
"4\nbqra\n",
"7\nciponts\n",
"7\nxwyzyxy\n",
"7\nbdbcbbc\n",
"12\noaraq`papaaa\n",
"4\ncqra\n",
"7\ndiqonts\n",
"7\nyxyzywx\n",
"7\nbdbcbbd\n",
"12\noaraq`papaab\n",
"4\ndqra\n",
"7\ndiqotns\n",
"7\nxwyxyzy\n",
"7\nbdacbbd\n",
"12\naaapap`qarao\n",
"4\narqd\n",
"7\nxwyyyzx\n",
"7\ncdacbbd\n",
"12\naaaqap`qarao\n",
"4\narqe\n",
"12\naaaqapaq`rao\n",
"4\nbrqe\n",
"12\naaaqapaq`rbo\n",
"4\neqrb\n",
"12\naaabapaq`rqo\n",
"12\noqr`qapabaaa\n",
"12\noqr_qapabaaa\n",
"12\nopr_qapabaaa\n",
"12\nopr^qapabaaa\n",
"12\nopr^rapabaaa\n",
"12\nopr^rapacaaa\n",
"12\naaacapar^rpo\n",
"12\naaacappr^rao\n",
"12\noar^rppacaaa\n",
"12\noar^rppacaba\n",
"12\nora^rppacaba\n",
"12\nora^rppacbba\n",
"12\nabbcappr^aro\n",
"12\nabbcappr_aro\n",
"12\nabbcappr_aqo\n",
"12\noqa_rppacbba\n",
"6\nbaaddc\n",
"7\nbaaacdb\n",
"4\naarp\n",
"3\nbad\n",
"2\nac\n",
"7\nstnopic\n",
"7\nyxyzxyx\n",
"7\nbcbcbcd\n",
"7\nabacbaa\n",
"12\nparapapapa`a\n",
"7\nabac`ab\n",
"6\naabceg\n",
"6\nbcbdda\n",
"4\narbp\n",
"3\nbab\n",
"7\nbd`dbcd\n",
"2\nca\n",
"7\ndipsnto\n",
"3\nbda\n",
"7\ncdbcbbb\n",
"7\nab`caba\n",
"2\nbb\n",
"12\naaapap`parap\n",
"4\nqara\n",
"3\ncb`\n",
"7\ndbcd`db\n",
"2\nc_\n",
"7\nxwyyyyy\n",
"3\nadb\n",
"7\ndbbcbdb\n",
"12\nqarap`papaaa\n",
"6\ngaadfb\n",
"4\nbqr`\n",
"7\nchponts\n"
],
"output": [
"YES\n2 3\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n2 3\n",
"NO\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"NO\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n5 6\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n4 5\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n3 4\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n1 2\n",
"NO\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"NO\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n4 5\n",
"YES\n2 3\n",
"YES\n2 3\n",
"YES\n2 3\n",
"NO\n",
"YES\n4 5\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n2 3\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n1 2\n",
"YES\n3 4\n",
"YES\n3 4\n"
]
} | 2CODEFORCES
|
1176_F. Destroy it!_325 | You are playing a computer card game called Splay the Sire. Currently you are struggling to defeat the final boss of the game.
The boss battle consists of n turns. During each turn, you will get several cards. Each card has two parameters: its cost c_i and damage d_i. You may play some of your cards during each turn in some sequence (you choose the cards and the exact order they are played), as long as the total cost of the cards you play during the turn does not exceed 3. After playing some (possibly zero) cards, you end your turn, and all cards you didn't play are discarded. Note that you can use each card at most once.
Your character has also found an artifact that boosts the damage of some of your actions: every 10-th card you play deals double damage.
What is the maximum possible damage you can deal during n turns?
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of turns.
Then n blocks of input follow, the i-th block representing the cards you get during the i-th turn.
Each block begins with a line containing one integer k_i (1 ≤ k_i ≤ 2 ⋅ 10^5) — the number of cards you get during i-th turn. Then k_i lines follow, each containing two integers c_j and d_j (1 ≤ c_j ≤ 3, 1 ≤ d_j ≤ 10^9) — the parameters of the corresponding card.
It is guaranteed that ∑ _{i = 1}^{n} k_i ≤ 2 ⋅ 10^5.
Output
Print one integer — the maximum damage you may deal.
Example
Input
5
3
1 6
1 7
1 5
2
1 4
1 3
3
1 10
3 5
2 3
3
1 15
2 4
1 10
1
1 100
Output
263
Note
In the example test the best course of action is as follows:
During the first turn, play all three cards in any order and deal 18 damage.
During the second turn, play both cards and deal 7 damage.
During the third turn, play the first and the third card and deal 13 damage.
During the fourth turn, play the first and the third card and deal 25 damage.
During the fifth turn, play the only card, which will deal double damage (200). | from sys import stdin, stdout
INF = float('inf')
n = input()
inp = stdin.readlines()
cd = [[[], [], []] for i in xrange(n)]
ptr = 0
idx = 0
while ptr < len(inp):
k = int(inp[ptr]); ptr += 1
for i in xrange(k):
c, d = map(int, inp[ptr].split()); ptr += 1
cd[idx][c - 1].append(d)
idx += 1
# sort
for i in xrange(n):
for j in xrange(3):
cd[i][j].sort(reverse = True)
# dp[i][j]: max damage dealt if first i cards dealt, total number of cards dealt mod 10 = j
dp = [[-INF for i in xrange(10)] for j in xrange(n)]
# base
i = 0
# no card
dp[i][0] = 0
# 1 card
for j in xrange(3):
if len(cd[i][j]): dp[i][1] = max(dp[i][1], cd[i][j][0])
# 2 cards
if len(cd[i][0]) >= 1 and len(cd[i][1]) >= 1:
dp[i][2] = cd[i][0][0] + cd[i][1][0]
if len(cd[i][0]) >= 2:
dp[i][2] = max(dp[i][2], cd[i][0][0] + cd[i][0][1])
# 3 cards
if len(cd[i][0]) >= 3: dp[i][3] = cd[i][0][0] + cd[i][0][1] + cd[i][0][2]
#print dp[0]
# iterate
for i in xrange(1, n):
for j in xrange(10):
if dp[i - 1][j] == -INF: continue
# 1 card with max damage
dmg1 = 0
for cost in xrange(3):
try: dmg1 = max(dmg1, cd[i][cost][0])
except: dmg1 = dmg1
assert dmg1 != 0
# 2 cards with max damage
dmg2, dmg3 = -INF, -INF
if len(cd[i][0]) >= 1 and len(cd[i][1]) >= 1:
dmg3, dmg2 = sorted([cd[i][0][0], cd[i][1][0]])
if len(cd[i][0]) >= 2:
if cd[i][0][0] + cd[i][0][1] > dmg2 + dmg3:
dmg3, dmg2 = sorted([cd[i][0][0], cd[i][0][1]])
# 3 cards with max damage
dmg4, dmg5, dmg6 = -INF, -INF, -INF
if len(cd[i][0]) >= 3: dmg4, dmg5, dmg6 = cd[i][0][0], cd[i][0][1], cd[i][0][2]
# draw no cards
dp[i][j] = max(dp[i][j], dp[i - 1][j])
# draw 1 card
if j + 1 < 10:
dp[i][j + 1] = max(dp[i][j + 1], dp[i - 1][j] + dmg1)
else:
dp[i][j + 1 - 10] = max(dp[i][j + 1 - 10], dp[i - 1][j] + 2 * dmg1)
# draw 2 cards
if j + 2 < 10:
dp[i][j + 2] = max(dp[i][j + 2], dp[i - 1][j] + dmg2 + dmg3)
else:
dp[i][j + 2 - 10] = max(dp[i][j + 2 - 10], dp[i - 1][j] + 2 * dmg2 + dmg3)
# draw 3 cards
if j + 3 < 10:
dp[i][j + 3] = max(dp[i][j + 3], dp[i - 1][j] + dmg4 + dmg5 + dmg6)
else:
dp[i][j + 3 - 10] = max(dp[i][j + 3 - 10], dp[i - 1][j] + 2 * dmg4 + dmg5 + dmg6)
#print dp[i]
# print answer
print max(dp[n - 1])
| 1Python2
| {
"input": [
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 15\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n1 1\n1 1\n2 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n2 1\n1 1\n2 2\n3 4\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 51\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 6\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n1 2\n2 3\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 8\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 8\n1 6\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n2 2\n2 3\n3 0\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 97\n2 4\n1 10\n1\n1 100\n",
"1\n4\n1 0\n1 1\n2 2\n3 6\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 5\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n1 4\n2 3\n3 4\n",
"1\n4\n2 2\n1 1\n1 2\n3 9\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 1\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 13\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 2\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 5\n3\n1 26\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 1\n2 3\n3\n1 15\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n",
"1\n4\n1 0\n1 1\n2 2\n3 4\n",
"1\n4\n2 2\n1 1\n2 2\n3 4\n",
"1\n4\n1 0\n1 1\n2 3\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 0\n1 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 4\n",
"1\n4\n1 0\n1 2\n2 3\n3 0\n",
"1\n4\n2 1\n1 1\n2 0\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 0\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 2\n1 1\n",
"1\n4\n2 2\n1 1\n3 2\n3 4\n",
"1\n4\n1 0\n1 1\n2 4\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 3\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n2 1\n1 1\n1 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 2\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n1 0\n1 4\n2 3\n3 0\n",
"1\n4\n1 0\n1 1\n2 4\n3 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 2\n1 1\n1 1\n3\n2 101\n1 0\n2 1\n",
"1\n4\n1 0\n1 1\n1 4\n3 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 2\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 0\n",
"1\n4\n1 1\n1 0\n2 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 2\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n"
],
"output": [
"263\n",
"211\n",
"4\n",
"212\n",
"4\n",
"274\n",
"299\n",
"211\n",
"268\n",
"271\n",
"5\n",
"210\n",
"8\n",
"275\n",
"3\n",
"213\n",
"345\n",
"6\n",
"270\n",
"7\n",
"9\n",
"214\n",
"13\n",
"215\n",
"276\n",
"263\n",
"212\n",
"4\n",
"4\n",
"4\n",
"211\n",
"4\n",
"5\n",
"4\n",
"212\n",
"212\n",
"4\n",
"5\n",
"211\n",
"4\n",
"210\n",
"7\n",
"5\n",
"212\n",
"5\n",
"214\n",
"4\n",
"213\n",
"212\n"
]
} | 2CODEFORCES
|
1176_F. Destroy it!_326 | You are playing a computer card game called Splay the Sire. Currently you are struggling to defeat the final boss of the game.
The boss battle consists of n turns. During each turn, you will get several cards. Each card has two parameters: its cost c_i and damage d_i. You may play some of your cards during each turn in some sequence (you choose the cards and the exact order they are played), as long as the total cost of the cards you play during the turn does not exceed 3. After playing some (possibly zero) cards, you end your turn, and all cards you didn't play are discarded. Note that you can use each card at most once.
Your character has also found an artifact that boosts the damage of some of your actions: every 10-th card you play deals double damage.
What is the maximum possible damage you can deal during n turns?
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of turns.
Then n blocks of input follow, the i-th block representing the cards you get during the i-th turn.
Each block begins with a line containing one integer k_i (1 ≤ k_i ≤ 2 ⋅ 10^5) — the number of cards you get during i-th turn. Then k_i lines follow, each containing two integers c_j and d_j (1 ≤ c_j ≤ 3, 1 ≤ d_j ≤ 10^9) — the parameters of the corresponding card.
It is guaranteed that ∑ _{i = 1}^{n} k_i ≤ 2 ⋅ 10^5.
Output
Print one integer — the maximum damage you may deal.
Example
Input
5
3
1 6
1 7
1 5
2
1 4
1 3
3
1 10
3 5
2 3
3
1 15
2 4
1 10
1
1 100
Output
263
Note
In the example test the best course of action is as follows:
During the first turn, play all three cards in any order and deal 18 damage.
During the second turn, play both cards and deal 7 damage.
During the third turn, play the first and the third card and deal 13 damage.
During the fourth turn, play the first and the third card and deal 25 damage.
During the fifth turn, play the only card, which will deal double damage (200). | #include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
int now = 0, nxt = 1;
long long dp[2][10];
memset(dp, -1, sizeof(dp));
dp[0][0] = 0;
while (n--) {
int k;
cin >> k;
vector<long long> v[4];
for (int i = 0; i < k; i++) {
long long c, d;
cin >> c >> d;
v[c].push_back(d);
}
sort(v[1].begin(), v[1].end(), greater<long long>());
sort(v[2].begin(), v[2].end(), greater<long long>());
sort(v[3].begin(), v[3].end(), greater<long long>());
memcpy(dp[nxt], dp[now], sizeof(dp[now]));
for (int i = 0; i < 10; i++) {
if (dp[now][i] == -1) continue;
for (int j = 1; j <= 3; j++) {
if ((int)v[j].size() != 0) {
dp[nxt][(i + 1) % 10] =
max(dp[nxt][(i + 1) % 10],
dp[now][i] + v[j][0] * (1 + ((i + 1) == 10)));
}
}
if ((int)v[1].size() >= 3)
dp[nxt][(i + 3) % 10] = max(
dp[nxt][(i + 3) % 10],
dp[now][i] + v[1][0] * (1 + ((i + 3) >= 10)) + v[1][1] + v[1][2]);
if ((int)v[1].size() >= 2)
dp[nxt][(i + 2) % 10] =
max(dp[nxt][(i + 2) % 10],
dp[now][i] + v[1][0] * (1 + ((i + 2) >= 10)) + v[1][1]);
if ((int)v[2].size() != 0 && (int)v[1].size() != 0)
dp[nxt][(i + 2) % 10] = max(
dp[nxt][(i + 2) % 10], dp[now][i] + v[2][0] + v[1][0] +
max(v[1][0], v[2][0]) * ((i + 2) >= 10));
}
swap(now, nxt);
}
long long ans = 0;
for (int i = 0; i < 10; i++) ans = max(ans, dp[now][i]);
cout << ans << '\n';
return 0;
}
| 2C++
| {
"input": [
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 15\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n1 1\n1 1\n2 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n2 1\n1 1\n2 2\n3 4\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 51\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 6\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n1 2\n2 3\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 8\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 8\n1 6\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n2 2\n2 3\n3 0\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 97\n2 4\n1 10\n1\n1 100\n",
"1\n4\n1 0\n1 1\n2 2\n3 6\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 5\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n1 4\n2 3\n3 4\n",
"1\n4\n2 2\n1 1\n1 2\n3 9\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 1\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 13\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 2\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 5\n3\n1 26\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 1\n2 3\n3\n1 15\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n",
"1\n4\n1 0\n1 1\n2 2\n3 4\n",
"1\n4\n2 2\n1 1\n2 2\n3 4\n",
"1\n4\n1 0\n1 1\n2 3\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 0\n1 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 4\n",
"1\n4\n1 0\n1 2\n2 3\n3 0\n",
"1\n4\n2 1\n1 1\n2 0\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 0\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 2\n1 1\n",
"1\n4\n2 2\n1 1\n3 2\n3 4\n",
"1\n4\n1 0\n1 1\n2 4\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 3\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n2 1\n1 1\n1 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 2\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n1 0\n1 4\n2 3\n3 0\n",
"1\n4\n1 0\n1 1\n2 4\n3 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 2\n1 1\n1 1\n3\n2 101\n1 0\n2 1\n",
"1\n4\n1 0\n1 1\n1 4\n3 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 2\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 0\n",
"1\n4\n1 1\n1 0\n2 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 2\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n"
],
"output": [
"263\n",
"211\n",
"4\n",
"212\n",
"4\n",
"274\n",
"299\n",
"211\n",
"268\n",
"271\n",
"5\n",
"210\n",
"8\n",
"275\n",
"3\n",
"213\n",
"345\n",
"6\n",
"270\n",
"7\n",
"9\n",
"214\n",
"13\n",
"215\n",
"276\n",
"263\n",
"212\n",
"4\n",
"4\n",
"4\n",
"211\n",
"4\n",
"5\n",
"4\n",
"212\n",
"212\n",
"4\n",
"5\n",
"211\n",
"4\n",
"210\n",
"7\n",
"5\n",
"212\n",
"5\n",
"214\n",
"4\n",
"213\n",
"212\n"
]
} | 2CODEFORCES
|
1176_F. Destroy it!_327 | You are playing a computer card game called Splay the Sire. Currently you are struggling to defeat the final boss of the game.
The boss battle consists of n turns. During each turn, you will get several cards. Each card has two parameters: its cost c_i and damage d_i. You may play some of your cards during each turn in some sequence (you choose the cards and the exact order they are played), as long as the total cost of the cards you play during the turn does not exceed 3. After playing some (possibly zero) cards, you end your turn, and all cards you didn't play are discarded. Note that you can use each card at most once.
Your character has also found an artifact that boosts the damage of some of your actions: every 10-th card you play deals double damage.
What is the maximum possible damage you can deal during n turns?
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of turns.
Then n blocks of input follow, the i-th block representing the cards you get during the i-th turn.
Each block begins with a line containing one integer k_i (1 ≤ k_i ≤ 2 ⋅ 10^5) — the number of cards you get during i-th turn. Then k_i lines follow, each containing two integers c_j and d_j (1 ≤ c_j ≤ 3, 1 ≤ d_j ≤ 10^9) — the parameters of the corresponding card.
It is guaranteed that ∑ _{i = 1}^{n} k_i ≤ 2 ⋅ 10^5.
Output
Print one integer — the maximum damage you may deal.
Example
Input
5
3
1 6
1 7
1 5
2
1 4
1 3
3
1 10
3 5
2 3
3
1 15
2 4
1 10
1
1 100
Output
263
Note
In the example test the best course of action is as follows:
During the first turn, play all three cards in any order and deal 18 damage.
During the second turn, play both cards and deal 7 damage.
During the third turn, play the first and the third card and deal 13 damage.
During the fourth turn, play the first and the third card and deal 25 damage.
During the fifth turn, play the only card, which will deal double damage (200). | import sys
import math
import cProfile
DEBUG = False
def log(s):
if DEBUG and False:
print(s)
def calc_dmg(num, arr):
maximum = 0
if num - len(arr) < 0:
maximum = max(arr)
return sum(arr) + maximum
if DEBUG:
sys.stdin = open('input.txt')
pr = cProfile.Profile()
pr.enable()
n = sys.stdin.readline()
n = int(n)
dmg = [-sys.maxsize for _ in range(10)]
for i in range(n):
log(dmg)
cards = [_[:] for _ in [[-sys.maxsize] * 3] * 4]
k = sys.stdin.readline()
k = int(k)
for _ in range(k):
c, d = sys.stdin.readline().split()
c = int(c)
d = int(d)
cards[c].append(d)
cards[1].sort(reverse=True)
cards[2].sort(reverse=True)
cards[3].sort(reverse=True)
log(cards)
# dmg[j] = max(dmg[j],
# dmg[j - 1] + D(one card),
# dmg[j - 2] + D(two cards),
# dmg[j - 3] + D(three cards))
# Plus, if 1 <= j <= 3, dmg[j] = max(dmg[j], D(cards))
new_dmg = []
for j in range(10):
use1 = max(cards[1][0], cards[2][0], cards[3][0])
use2 = max(cards[1][0] + cards[1][1],
cards[1][0] + cards[2][0])
use3 = cards[1][0] + cards[1][1] + cards[1][2]
maximum = dmg[j]
if use1 > 0:
maximum = max(maximum, dmg[j - 1] + calc_dmg(j, [use1]))
if j == 1:
maximum = max(maximum, use1)
if use2 > 0:
maximum = max(maximum, dmg[j - 2] +
calc_dmg(j, [cards[1][0], cards[1][1]]
if cards[1][0] + cards[1][1] == use2
else [cards[1][0], cards[2][0]]))
if j == 2:
maximum = max(maximum, use2)
if use3 > 0:
maximum = max(maximum, dmg[j - 3] +
calc_dmg(j, [cards[1][0], cards[1][1], cards[1][2]]))
if j == 3:
maximum = max(maximum, use3)
new_dmg.append(maximum)
dmg = new_dmg
log(dmg)
print(max(dmg))
if DEBUG:
pr.disable()
pr.print_stats() | 3Python3
| {
"input": [
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 15\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n1 1\n1 1\n2 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n2 1\n1 1\n2 2\n3 4\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 51\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 6\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n1 2\n2 3\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 8\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 8\n1 6\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n2 2\n2 3\n3 0\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 97\n2 4\n1 10\n1\n1 100\n",
"1\n4\n1 0\n1 1\n2 2\n3 6\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 5\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n1 4\n2 3\n3 4\n",
"1\n4\n2 2\n1 1\n1 2\n3 9\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 1\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 13\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 2\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 5\n3\n1 26\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 1\n2 3\n3\n1 15\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n",
"1\n4\n1 0\n1 1\n2 2\n3 4\n",
"1\n4\n2 2\n1 1\n2 2\n3 4\n",
"1\n4\n1 0\n1 1\n2 3\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 0\n1 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 4\n",
"1\n4\n1 0\n1 2\n2 3\n3 0\n",
"1\n4\n2 1\n1 1\n2 0\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 0\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 2\n1 1\n",
"1\n4\n2 2\n1 1\n3 2\n3 4\n",
"1\n4\n1 0\n1 1\n2 4\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 3\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n2 1\n1 1\n1 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 2\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n1 0\n1 4\n2 3\n3 0\n",
"1\n4\n1 0\n1 1\n2 4\n3 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 2\n1 1\n1 1\n3\n2 101\n1 0\n2 1\n",
"1\n4\n1 0\n1 1\n1 4\n3 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 2\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 0\n",
"1\n4\n1 1\n1 0\n2 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 2\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n"
],
"output": [
"263\n",
"211\n",
"4\n",
"212\n",
"4\n",
"274\n",
"299\n",
"211\n",
"268\n",
"271\n",
"5\n",
"210\n",
"8\n",
"275\n",
"3\n",
"213\n",
"345\n",
"6\n",
"270\n",
"7\n",
"9\n",
"214\n",
"13\n",
"215\n",
"276\n",
"263\n",
"212\n",
"4\n",
"4\n",
"4\n",
"211\n",
"4\n",
"5\n",
"4\n",
"212\n",
"212\n",
"4\n",
"5\n",
"211\n",
"4\n",
"210\n",
"7\n",
"5\n",
"212\n",
"5\n",
"214\n",
"4\n",
"213\n",
"212\n"
]
} | 2CODEFORCES
|
1176_F. Destroy it!_328 | You are playing a computer card game called Splay the Sire. Currently you are struggling to defeat the final boss of the game.
The boss battle consists of n turns. During each turn, you will get several cards. Each card has two parameters: its cost c_i and damage d_i. You may play some of your cards during each turn in some sequence (you choose the cards and the exact order they are played), as long as the total cost of the cards you play during the turn does not exceed 3. After playing some (possibly zero) cards, you end your turn, and all cards you didn't play are discarded. Note that you can use each card at most once.
Your character has also found an artifact that boosts the damage of some of your actions: every 10-th card you play deals double damage.
What is the maximum possible damage you can deal during n turns?
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of turns.
Then n blocks of input follow, the i-th block representing the cards you get during the i-th turn.
Each block begins with a line containing one integer k_i (1 ≤ k_i ≤ 2 ⋅ 10^5) — the number of cards you get during i-th turn. Then k_i lines follow, each containing two integers c_j and d_j (1 ≤ c_j ≤ 3, 1 ≤ d_j ≤ 10^9) — the parameters of the corresponding card.
It is guaranteed that ∑ _{i = 1}^{n} k_i ≤ 2 ⋅ 10^5.
Output
Print one integer — the maximum damage you may deal.
Example
Input
5
3
1 6
1 7
1 5
2
1 4
1 3
3
1 10
3 5
2 3
3
1 15
2 4
1 10
1
1 100
Output
263
Note
In the example test the best course of action is as follows:
During the first turn, play all three cards in any order and deal 18 damage.
During the second turn, play both cards and deal 7 damage.
During the third turn, play the first and the third card and deal 13 damage.
During the fourth turn, play the first and the third card and deal 25 damage.
During the fifth turn, play the only card, which will deal double damage (200). | import java.io.*;
import java.text.*;
import java.util.*;
import java.math.*;
public class F {
public static void main(String[] args) throws Exception {
new F().run();
}
public void run() throws Exception {
FastScanner f = new FastScanner();
PrintWriter out = new PrintWriter(System.out);
int n = f.nextInt();
long[][] dp = new long[n+1][10];
for(int i = 0; i < dp.length; i++)
for(int j = 0; j < 10; j++) dp[i][j] = Long.MIN_VALUE;
dp[0][0] = 0;
ArrayList<Long>[] al = new ArrayList[3];
for(int i = 0; i < 3; i++) al[i] = new ArrayList<>();
for(int ii = 0; ii < n; ii++) {
int k = f.nextInt();
for(int i = 0; i < 3; i++) al[i].clear();
for(int i = 0; i < k; i++) {
int a = f.nextInt()-1; long d = f.nextLong();
al[a].add(d);
}
for(int i = 0; i < 3; i++) Collections.sort(al[i]);
for(int i = 0; i < 10; i++) dp[ii+1][i] = dp[ii][i];
{
long max = 0;
for(int i = 0; i < 3; i++) if(!al[i].isEmpty()) max = Math.max(max, al[i].get(al[i].size()-1));
for(int i = 0; i < 9; i++) {
dp[ii+1][i+1] = Math.max(dp[ii+1][i+1],dp[ii][i] + max);
}
dp[ii+1][0] = Math.max(dp[ii+1][0], dp[ii][9] + max * 2);
}
if(al[0].size() + al[1].size() >= 2 && !al[0].isEmpty()) {
long max = 0;
long maxc = 0;
if(!al[1].isEmpty() && (al[0].size() == 1 || al[0].get(al[0].size()-2) < al[1].get(al[1].size()-1))) {
max = al[0].get(al[0].size() - 1) + al[1].get(al[1].size() - 1);
maxc = Math.max(al[0].get(al[0].size() - 1),al[1].get(al[1].size() - 1));
} else {
max = al[0].get(al[0].size() - 1) + al[0].get(al[0].size() - 2);
maxc = al[0].get(al[0].size() - 1);
}
for(int i = 0; i < 8; i++) {
dp[ii+1][i+2] = Math.max(dp[ii+1][i+2], dp[ii][i] + max);
}
dp[ii+1][0] = Math.max(dp[ii+1][0], dp[ii][8] + max + maxc);
dp[ii+1][1] = Math.max(dp[ii+1][1], dp[ii][9] + max + maxc);
}
if(al[0].size() >= 3) {
int m = al[0].size();
long max = al[0].get(m-3) + al[0].get(m-2) + al[0].get(m-1);
long maxc = al[0].get(m-1);
for(int i = 0; i < 7; i++)
dp[ii+1][i+3] = Math.max(dp[ii+1][i+3], dp[ii][i] + max);
dp[ii+1][0] = Math.max(dp[ii+1][0], dp[ii][7] + max + maxc);
dp[ii+1][1] = Math.max(dp[ii+1][1], dp[ii][8] + max + maxc);
dp[ii+1][2] = Math.max(dp[ii+1][2], dp[ii][9] + max + maxc);
}
}
long ans = 0;
for(int i = 0; i < 10; i++)
ans = Math.max(ans, dp[n][i]);
out.println(ans);
out.flush();
}
static class FastScanner {
public BufferedReader reader;
public StringTokenizer tokenizer;
public FastScanner() {
reader = new BufferedReader(new InputStreamReader(System.in), 32768);
tokenizer = null;
}
public String next() {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
tokenizer = new StringTokenizer(reader.readLine());
} catch (IOException e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
public long nextLong() {
return Long.parseLong(next());
}
public double nextDouble() {
return Double.parseDouble(next());
}
public String nextLine() {
try {
return reader.readLine();
} catch(IOException e) {
throw new RuntimeException(e);
}
}
}
}
| 4JAVA
| {
"input": [
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 15\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n1 1\n1 1\n2 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n2 1\n1 1\n2 2\n3 4\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 51\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 6\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n1 2\n2 3\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 8\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 8\n1 6\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n2 2\n2 3\n3 0\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 3\n3\n1 97\n2 4\n1 10\n1\n1 100\n",
"1\n4\n1 0\n1 1\n2 2\n3 6\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 5\n3\n1 10\n3 5\n2 3\n3\n1 26\n2 4\n1 1\n1\n1 100\n",
"1\n4\n1 0\n1 4\n2 3\n3 4\n",
"1\n4\n2 2\n1 1\n1 2\n3 9\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 1\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 13\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 2\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 1\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 5\n2 5\n3\n1 26\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 6\n1 7\n1 5\n2\n1 4\n1 3\n3\n1 10\n3 1\n2 3\n3\n1 15\n2 4\n1 10\n1\n1 100\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n",
"1\n4\n1 0\n1 1\n2 2\n3 4\n",
"1\n4\n2 2\n1 1\n2 2\n3 4\n",
"1\n4\n1 0\n1 1\n2 3\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 0\n1 1\n",
"1\n4\n2 2\n1 1\n1 2\n3 4\n",
"1\n4\n1 0\n1 2\n2 3\n3 0\n",
"1\n4\n2 1\n1 1\n2 0\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 0\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n2 100\n1 2\n1 1\n",
"1\n4\n2 2\n1 1\n3 2\n3 4\n",
"1\n4\n1 0\n1 1\n2 4\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 3\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n2 1\n1 1\n1 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 2\n1 1\n1 1\n3\n2 100\n1 0\n2 1\n",
"1\n4\n1 0\n1 4\n2 3\n3 0\n",
"1\n4\n1 0\n1 1\n2 4\n3 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 2\n1 1\n1 1\n3\n2 101\n1 0\n2 1\n",
"1\n4\n1 0\n1 1\n1 4\n3 1\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 2\n1 2\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 0\n",
"1\n4\n1 1\n1 0\n2 2\n3 4\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 2\n1 1\n1 1\n3\n1 100\n1 1\n1 2\n",
"5\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n1 1\n1 1\n1 1\n3\n2 1\n1 1\n1 1\n3\n1 100\n1 2\n1 1\n"
],
"output": [
"263\n",
"211\n",
"4\n",
"212\n",
"4\n",
"274\n",
"299\n",
"211\n",
"268\n",
"271\n",
"5\n",
"210\n",
"8\n",
"275\n",
"3\n",
"213\n",
"345\n",
"6\n",
"270\n",
"7\n",
"9\n",
"214\n",
"13\n",
"215\n",
"276\n",
"263\n",
"212\n",
"4\n",
"4\n",
"4\n",
"211\n",
"4\n",
"5\n",
"4\n",
"212\n",
"212\n",
"4\n",
"5\n",
"211\n",
"4\n",
"210\n",
"7\n",
"5\n",
"212\n",
"5\n",
"214\n",
"4\n",
"213\n",
"212\n"
]
} | 2CODEFORCES
|
1195_D2. Submarine in the Rybinsk Sea (hard edition)_329 | This problem differs from the previous one only in the absence of the constraint on the equal length of all numbers a_1, a_2, ..., a_n.
A team of SIS students is going to make a trip on a submarine. Their target is an ancient treasure in a sunken ship lying on the bottom of the Great Rybinsk sea. Unfortunately, the students don't know the coordinates of the ship, so they asked Meshanya (who is a hereditary mage) to help them. He agreed to help them, but only if they solve his problem.
Let's denote a function that alternates digits of two numbers f(a_1 a_2 ... a_{p - 1} a_p, b_1 b_2 ... b_{q - 1} b_q), where a_1 ... a_p and b_1 ... b_q are digits of two integers written in the decimal notation without leading zeros.
In other words, the function f(x, y) alternately shuffles the digits of the numbers x and y by writing them from the lowest digits to the older ones, starting with the number y. The result of the function is also built from right to left (that is, from the lower digits to the older ones). If the digits of one of the arguments have ended, then the remaining digits of the other argument are written out. Familiarize with examples and formal definitions of the function below.
For example: $$$f(1111, 2222) = 12121212 f(7777, 888) = 7787878 f(33, 44444) = 4443434 f(555, 6) = 5556 f(111, 2222) = 2121212$$$
Formally,
* if p ≥ q then f(a_1 ... a_p, b_1 ... b_q) = a_1 a_2 ... a_{p - q + 1} b_1 a_{p - q + 2} b_2 ... a_{p - 1} b_{q - 1} a_p b_q;
* if p < q then f(a_1 ... a_p, b_1 ... b_q) = b_1 b_2 ... b_{q - p} a_1 b_{q - p + 1} a_2 ... a_{p - 1} b_{q - 1} a_p b_q.
Mishanya gives you an array consisting of n integers a_i, your task is to help students to calculate ∑_{i = 1}^{n}∑_{j = 1}^{n} f(a_i, a_j) modulo 998 244 353.
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of elements in the array. The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — the elements of the array.
Output
Print the answer modulo 998 244 353.
Examples
Input
3
12 3 45
Output
12330
Input
2
123 456
Output
1115598 | from __future__ import division, print_function
def main():
def power(x, y, p) :
res = 1 # Initialize result
# Update x if it is more
# than or equal to p
x = x % p
while (y > 0) :
# If y is odd, multiply
# x with result
if ((y & 1) == 1) :
res = (res * x) % p
# y must be even now
y = y >> 1 # y = y/2
x = (x * x) % p
return res
def count_next_smaller_elements(xs):
ys = sorted((x,i) for i,x in enumerate(xs))
zs = [0] * len(ys)
for i in range(1, len(ys)):
zs[ys[i][1]] = zs[ys[i-1][1]]
if ys[i][0] != ys[i-1][0]: zs[ys[i][1]] += 1
ts = [0] * (zs[ys[-1][1]]+1)
us = [0] * len(xs)
for i in range(len(xs)-1,-1,-1):
x = zs[i]+1
while True:
us[i] += ts[x-1]
x -= (x & (-x))
if x <= 0: break
x = zs[i]+1
while True:
x += (x & (-x))
if x > len(ts): break
ts[x-1] += 1
return us
mod=998244353
n=int(input())
l1=list(input().split())
arr=[0]*10
for item in l1:
arr[len(item)-1]+=1
ans=0
for item in l1:
for i in range(1,11):
if arr[i-1]==0:
continue
x=len(item)
res=0
if x<=i:
for j in range(x-1,-1,-1):
res=(res+int(item[j])*pow(10,(x-j-1)*2,mod))%mod
res=(res+int(item[j])*pow(10,(x-j)*2-1,mod))%mod
ans=(ans+arr[i-1]*res)%mod
else :
x-=1
i-=1
j=0
while x>i:
res=(res+2*int(item[j])*pow(10,(x-i)+(2*(i+1))-1,mod))%mod
x-=1
j+=1
i+=1
x=len(item)
for j in range(i-1,-1,-1):
res=(res+int(item[j+(x-i)])*pow(10,(i-j-1)*2,mod))%mod
res=(res+int(item[j+(x-i)])*pow(10,(i-j)*2-1,mod))%mod
ans=(ans+arr[i-1]*res)%mod
print(ans)
######## Python 2 and 3 footer by Pajenegod and c1729
# Note because cf runs old PyPy3 version which doesn't have the sped up
# unicode strings, PyPy3 strings will many times be slower than pypy2.
# There is a way to get around this by using binary strings in PyPy3
# but its syntax is different which makes it kind of a mess to use.
# So on cf, use PyPy2 for best string performance.
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')
# Cout implemented in Python
import sys
class ostream:
def __lshift__(self,a):
sys.stdout.write(str(a))
return self
cout = ostream()
endl = '\n'
# Read all remaining integers in stdin, type is given by optional argument, this is fast
def readnumbers(zero = 0):
conv = ord if py2 else lambda x:x
A = []; numb = zero; sign = 1; i = 0; s = sys.stdin.buffer.read()
try:
while True:
if s[i] >= b'0' [0]:
numb = 10 * numb + conv(s[i]) - 48
elif s[i] == b'-' [0]: sign = -1
elif s[i] != b'\r' [0]:
A.append(sign*numb)
numb = zero; sign = 1
i += 1
except:pass
if s and s[-1] >= b'0' [0]:
A.append(sign*numb)
return A
if __name__== "__main__":
main() | 1Python2
| {
"input": [
"3\n12 3 45\n",
"2\n123 456\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 55 49 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 9287 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 653 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 1651 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 5327 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 9635 3275 1958 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 1 74 39 86 11 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 7372 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 6999 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n123767132\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 7735 8024 4006 4845 9123 2957 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 55 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 13\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 38 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 82 14 30 77 41 69 4 37 85 81 62\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 87 49 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 653 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 1651 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 9635 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 86 11 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 6999 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n21106256\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 2957 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 38 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 13\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 53 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 82 14 30 77 41 69 4 37 85 50 62\n",
"3\n12 2 45\n",
"2\n64 456\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 87 73 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 86 20 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n27524816\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 38 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 17\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 34 14 30 77 41 69 4 37 85 50 62\n",
"3\n12 2 81\n",
"2\n64 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n52552165\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 97 21 52\n",
"20\n4 53 11 79 47 2 64 98 51 34 14 30 77 41 69 4 37 85 50 62\n",
"3\n11 2 81\n",
"2\n72 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 8 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 52 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n75807138\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 10 21 52\n",
"20\n4 53 11 79 47 2 64 98 51 34 14 30 77 41 113 4 37 85 50 62\n",
"3\n11 1 81\n",
"2\n95 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 52 57 82 2 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n11795568\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 4 37 85 50 62\n",
"3\n8 1 81\n",
"2\n116 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 32 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 57 82 2 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n793339\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 74 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 6 37 85 50 62\n",
"3\n8 1 70\n",
"2\n116 347\n",
"20\n76 86 70 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 232 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 5959 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 57 82 1 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 73 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n10190\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 2989 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 66 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 5 37 85 50 62\n",
"3\n8 1 124\n",
"2\n116 641\n",
"20\n76 86 117 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 3 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1487 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 5959 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 13875 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 102 82 1 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 73 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 1844 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n2877\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 3653 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 2989 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 66 70 47 97 26 7 12 15 93 26 10 21 52\n",
"20\n4 53 11 38 26 2 64 98 51 34 14 30 77 41 113 5 37 85 50 62\n",
"2\n116 162\n",
"20\n76 86 117 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 11 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 3 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1882 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1487 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 2252 9307 4840 2545 2041 5300\n"
],
"output": [
"12330\n",
"1115598\n",
"2178920\n",
"167137718\n",
"495837625\n",
"666837072\n",
"1899280\n",
"674832474\n",
"116407724\n",
"906817803\n",
"2248760\n",
"1934680\n",
"1675580\n",
"2242660\n",
"13982254\n",
"347790637\n",
"613710519\n",
"1899500\n",
"671511939\n",
"820819272\n",
"117197055\n",
"2209020\n",
"1977580\n",
"1620160\n",
"12297\n",
"544420\n",
"2304640\n",
"968948807\n",
"355917431\n",
"423239624\n",
"1919480\n",
"596913898\n",
"853583545\n",
"97583996\n",
"2209900\n",
"2065580\n",
"1528600\n",
"21765\n",
"405620\n",
"2326400\n",
"979331007\n",
"344673031\n",
"451997183\n",
"1939240\n",
"663226810\n",
"231834051\n",
"103311602\n",
"2152920\n",
"1619940\n",
"21732\n",
"407776\n",
"2150400\n",
"474891819\n",
"356570831\n",
"420513930\n",
"1917720\n",
"674445710\n",
"611592828\n",
"81271602\n",
"1975380\n",
"1958120\n",
"21699\n",
"412242\n",
"2149960\n",
"519791772\n",
"396755184\n",
"493216989\n",
"1698240\n",
"636265516\n",
"281068233\n",
"3243561\n",
"1769120\n",
"1880700\n",
"12330\n",
"884664\n",
"2130200\n",
"618703130\n",
"385303984\n",
"492456889\n",
"1659420\n",
"682809963\n",
"304493706\n",
"987387961\n",
"1747800\n",
"1881140\n",
"10797\n",
"891286\n",
"2089800\n",
"400923629\n",
"208969343\n",
"549062583\n",
"1659200\n",
"990272781\n",
"101875547\n",
"8760355\n",
"1727140\n",
"1880920\n",
"117429\n",
"1551154\n",
"2604140\n",
"522469082\n",
"208865943\n",
"160575135\n",
"1997600\n",
"77872152\n",
"22887777\n",
"36852461\n",
"1621200\n",
"1842100\n",
"455576\n",
"2726740\n",
"586738882\n",
"13618808\n"
]
} | 2CODEFORCES
|
1195_D2. Submarine in the Rybinsk Sea (hard edition)_330 | This problem differs from the previous one only in the absence of the constraint on the equal length of all numbers a_1, a_2, ..., a_n.
A team of SIS students is going to make a trip on a submarine. Their target is an ancient treasure in a sunken ship lying on the bottom of the Great Rybinsk sea. Unfortunately, the students don't know the coordinates of the ship, so they asked Meshanya (who is a hereditary mage) to help them. He agreed to help them, but only if they solve his problem.
Let's denote a function that alternates digits of two numbers f(a_1 a_2 ... a_{p - 1} a_p, b_1 b_2 ... b_{q - 1} b_q), where a_1 ... a_p and b_1 ... b_q are digits of two integers written in the decimal notation without leading zeros.
In other words, the function f(x, y) alternately shuffles the digits of the numbers x and y by writing them from the lowest digits to the older ones, starting with the number y. The result of the function is also built from right to left (that is, from the lower digits to the older ones). If the digits of one of the arguments have ended, then the remaining digits of the other argument are written out. Familiarize with examples and formal definitions of the function below.
For example: $$$f(1111, 2222) = 12121212 f(7777, 888) = 7787878 f(33, 44444) = 4443434 f(555, 6) = 5556 f(111, 2222) = 2121212$$$
Formally,
* if p ≥ q then f(a_1 ... a_p, b_1 ... b_q) = a_1 a_2 ... a_{p - q + 1} b_1 a_{p - q + 2} b_2 ... a_{p - 1} b_{q - 1} a_p b_q;
* if p < q then f(a_1 ... a_p, b_1 ... b_q) = b_1 b_2 ... b_{q - p} a_1 b_{q - p + 1} a_2 ... a_{p - 1} b_{q - 1} a_p b_q.
Mishanya gives you an array consisting of n integers a_i, your task is to help students to calculate ∑_{i = 1}^{n}∑_{j = 1}^{n} f(a_i, a_j) modulo 998 244 353.
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of elements in the array. The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — the elements of the array.
Output
Print the answer modulo 998 244 353.
Examples
Input
3
12 3 45
Output
12330
Input
2
123 456
Output
1115598 | #include <bits/stdc++.h>
using namespace std;
const int mod = 998244353;
const int Nmax = 100555;
int digit_tally[11];
int n, a[Nmax];
int main(void) {
cin >> n;
for (int i = 0; i < n; i++) {
cin >> a[i];
int digits = floor(log10(a[i])) + 1;
digit_tally[digits]++;
}
long long result = 0;
for (int i = 0; i < n; i++) {
int b[11][2];
for (int k = 0; k < 11; k++) {
b[k][0] = 0;
b[k][1] = 0;
}
int digits = 0;
int x = a[i];
while (x) {
digits++;
b[digits][0] = x % 10;
x /= 10;
b[digits][1] = x;
}
long long power = 1;
long long sparsed = 0;
for (int j = 1; j <= 10; j++) {
sparsed = (power * b[j][0] + sparsed) % mod;
power = (power * 100) % mod;
if (!digit_tally[j]) continue;
if (digits > j) {
long long rest = 1ll * b[j][1] * power;
result += (((rest * 2) % mod) * digit_tally[j]) % mod;
}
result += (((sparsed * 11) % mod) * digit_tally[j]) % mod;
}
result = result % mod;
}
cout << result << endl;
return 0;
}
| 2C++
| {
"input": [
"3\n12 3 45\n",
"2\n123 456\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 55 49 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 9287 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 653 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 1651 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 5327 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 9635 3275 1958 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 1 74 39 86 11 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 7372 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 6999 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n123767132\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 7735 8024 4006 4845 9123 2957 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 55 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 13\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 38 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 82 14 30 77 41 69 4 37 85 81 62\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 87 49 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 653 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 1651 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 9635 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 86 11 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 6999 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n21106256\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 2957 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 38 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 13\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 53 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 82 14 30 77 41 69 4 37 85 50 62\n",
"3\n12 2 45\n",
"2\n64 456\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 87 73 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 86 20 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n27524816\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 38 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 17\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 34 14 30 77 41 69 4 37 85 50 62\n",
"3\n12 2 81\n",
"2\n64 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n52552165\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 97 21 52\n",
"20\n4 53 11 79 47 2 64 98 51 34 14 30 77 41 69 4 37 85 50 62\n",
"3\n11 2 81\n",
"2\n72 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 8 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 52 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n75807138\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 10 21 52\n",
"20\n4 53 11 79 47 2 64 98 51 34 14 30 77 41 113 4 37 85 50 62\n",
"3\n11 1 81\n",
"2\n95 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 52 57 82 2 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n11795568\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 4 37 85 50 62\n",
"3\n8 1 81\n",
"2\n116 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 32 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 57 82 2 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n793339\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 74 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 6 37 85 50 62\n",
"3\n8 1 70\n",
"2\n116 347\n",
"20\n76 86 70 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 232 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 5959 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 57 82 1 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 73 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n10190\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 2989 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 66 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 5 37 85 50 62\n",
"3\n8 1 124\n",
"2\n116 641\n",
"20\n76 86 117 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 3 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1487 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 5959 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 13875 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 102 82 1 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 73 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 1844 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n2877\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 3653 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 2989 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 66 70 47 97 26 7 12 15 93 26 10 21 52\n",
"20\n4 53 11 38 26 2 64 98 51 34 14 30 77 41 113 5 37 85 50 62\n",
"2\n116 162\n",
"20\n76 86 117 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 11 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 3 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1882 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1487 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 2252 9307 4840 2545 2041 5300\n"
],
"output": [
"12330\n",
"1115598\n",
"2178920\n",
"167137718\n",
"495837625\n",
"666837072\n",
"1899280\n",
"674832474\n",
"116407724\n",
"906817803\n",
"2248760\n",
"1934680\n",
"1675580\n",
"2242660\n",
"13982254\n",
"347790637\n",
"613710519\n",
"1899500\n",
"671511939\n",
"820819272\n",
"117197055\n",
"2209020\n",
"1977580\n",
"1620160\n",
"12297\n",
"544420\n",
"2304640\n",
"968948807\n",
"355917431\n",
"423239624\n",
"1919480\n",
"596913898\n",
"853583545\n",
"97583996\n",
"2209900\n",
"2065580\n",
"1528600\n",
"21765\n",
"405620\n",
"2326400\n",
"979331007\n",
"344673031\n",
"451997183\n",
"1939240\n",
"663226810\n",
"231834051\n",
"103311602\n",
"2152920\n",
"1619940\n",
"21732\n",
"407776\n",
"2150400\n",
"474891819\n",
"356570831\n",
"420513930\n",
"1917720\n",
"674445710\n",
"611592828\n",
"81271602\n",
"1975380\n",
"1958120\n",
"21699\n",
"412242\n",
"2149960\n",
"519791772\n",
"396755184\n",
"493216989\n",
"1698240\n",
"636265516\n",
"281068233\n",
"3243561\n",
"1769120\n",
"1880700\n",
"12330\n",
"884664\n",
"2130200\n",
"618703130\n",
"385303984\n",
"492456889\n",
"1659420\n",
"682809963\n",
"304493706\n",
"987387961\n",
"1747800\n",
"1881140\n",
"10797\n",
"891286\n",
"2089800\n",
"400923629\n",
"208969343\n",
"549062583\n",
"1659200\n",
"990272781\n",
"101875547\n",
"8760355\n",
"1727140\n",
"1880920\n",
"117429\n",
"1551154\n",
"2604140\n",
"522469082\n",
"208865943\n",
"160575135\n",
"1997600\n",
"77872152\n",
"22887777\n",
"36852461\n",
"1621200\n",
"1842100\n",
"455576\n",
"2726740\n",
"586738882\n",
"13618808\n"
]
} | 2CODEFORCES
|
1195_D2. Submarine in the Rybinsk Sea (hard edition)_331 | This problem differs from the previous one only in the absence of the constraint on the equal length of all numbers a_1, a_2, ..., a_n.
A team of SIS students is going to make a trip on a submarine. Their target is an ancient treasure in a sunken ship lying on the bottom of the Great Rybinsk sea. Unfortunately, the students don't know the coordinates of the ship, so they asked Meshanya (who is a hereditary mage) to help them. He agreed to help them, but only if they solve his problem.
Let's denote a function that alternates digits of two numbers f(a_1 a_2 ... a_{p - 1} a_p, b_1 b_2 ... b_{q - 1} b_q), where a_1 ... a_p and b_1 ... b_q are digits of two integers written in the decimal notation without leading zeros.
In other words, the function f(x, y) alternately shuffles the digits of the numbers x and y by writing them from the lowest digits to the older ones, starting with the number y. The result of the function is also built from right to left (that is, from the lower digits to the older ones). If the digits of one of the arguments have ended, then the remaining digits of the other argument are written out. Familiarize with examples and formal definitions of the function below.
For example: $$$f(1111, 2222) = 12121212 f(7777, 888) = 7787878 f(33, 44444) = 4443434 f(555, 6) = 5556 f(111, 2222) = 2121212$$$
Formally,
* if p ≥ q then f(a_1 ... a_p, b_1 ... b_q) = a_1 a_2 ... a_{p - q + 1} b_1 a_{p - q + 2} b_2 ... a_{p - 1} b_{q - 1} a_p b_q;
* if p < q then f(a_1 ... a_p, b_1 ... b_q) = b_1 b_2 ... b_{q - p} a_1 b_{q - p + 1} a_2 ... a_{p - 1} b_{q - 1} a_p b_q.
Mishanya gives you an array consisting of n integers a_i, your task is to help students to calculate ∑_{i = 1}^{n}∑_{j = 1}^{n} f(a_i, a_j) modulo 998 244 353.
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of elements in the array. The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — the elements of the array.
Output
Print the answer modulo 998 244 353.
Examples
Input
3
12 3 45
Output
12330
Input
2
123 456
Output
1115598 | from collections import Counter
n = int(input())
a = list(map(int, input().split()))
l = [len(str(i)) for i in a]
c = Counter(l)
cl = [c[i] for i in range(1,11)]
M = 998244353
pad = lambda a, d: a%d + (a - a%d) * 10
#print(a, l, c, cl)
ans = 0
for i in a:
il = len(str(i)) # let's calculate it again to avoid zip and enumerate
#print('processing', i, ans)
t = i
for p in range(10):
#if not cl[p]: continue
i = pad(i, 100**p)
#print('top pad', p, 'is', i, 'there are', cl[p])
ans = (ans + i * cl[p]) % M
i = t # restore
for p in range(10):
#if not cl[p]: continue
i = pad(i, 10 * 100**p)
#print('bottom pad', p, 'is', i, 'there are', cl[p])
ans = (ans + i * cl[p]) % M
print(ans)
| 3Python3
| {
"input": [
"3\n12 3 45\n",
"2\n123 456\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 55 49 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 9287 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 653 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 1651 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 5327 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 9635 3275 1958 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 1 74 39 86 11 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 7372 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 6999 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n123767132\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 7735 8024 4006 4845 9123 2957 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 55 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 13\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 38 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 82 14 30 77 41 69 4 37 85 81 62\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 87 49 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 653 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 1651 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 9635 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 86 11 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 6999 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n21106256\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 2957 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 38 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 13\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 53 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 82 14 30 77 41 69 4 37 85 50 62\n",
"3\n12 2 45\n",
"2\n64 456\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 87 73 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 86 20 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n27524816\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 38 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 17\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 34 14 30 77 41 69 4 37 85 50 62\n",
"3\n12 2 81\n",
"2\n64 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n52552165\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 97 21 52\n",
"20\n4 53 11 79 47 2 64 98 51 34 14 30 77 41 69 4 37 85 50 62\n",
"3\n11 2 81\n",
"2\n72 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 8 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 52 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n75807138\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 10 21 52\n",
"20\n4 53 11 79 47 2 64 98 51 34 14 30 77 41 113 4 37 85 50 62\n",
"3\n11 1 81\n",
"2\n95 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 52 57 82 2 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n11795568\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 4 37 85 50 62\n",
"3\n8 1 81\n",
"2\n116 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 32 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 57 82 2 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n793339\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 74 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 6 37 85 50 62\n",
"3\n8 1 70\n",
"2\n116 347\n",
"20\n76 86 70 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 232 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 5959 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 57 82 1 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 73 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n10190\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 2989 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 66 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 5 37 85 50 62\n",
"3\n8 1 124\n",
"2\n116 641\n",
"20\n76 86 117 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 3 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1487 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 5959 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 13875 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 102 82 1 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 73 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 1844 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n2877\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 3653 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 2989 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 66 70 47 97 26 7 12 15 93 26 10 21 52\n",
"20\n4 53 11 38 26 2 64 98 51 34 14 30 77 41 113 5 37 85 50 62\n",
"2\n116 162\n",
"20\n76 86 117 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 11 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 3 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1882 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1487 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 2252 9307 4840 2545 2041 5300\n"
],
"output": [
"12330\n",
"1115598\n",
"2178920\n",
"167137718\n",
"495837625\n",
"666837072\n",
"1899280\n",
"674832474\n",
"116407724\n",
"906817803\n",
"2248760\n",
"1934680\n",
"1675580\n",
"2242660\n",
"13982254\n",
"347790637\n",
"613710519\n",
"1899500\n",
"671511939\n",
"820819272\n",
"117197055\n",
"2209020\n",
"1977580\n",
"1620160\n",
"12297\n",
"544420\n",
"2304640\n",
"968948807\n",
"355917431\n",
"423239624\n",
"1919480\n",
"596913898\n",
"853583545\n",
"97583996\n",
"2209900\n",
"2065580\n",
"1528600\n",
"21765\n",
"405620\n",
"2326400\n",
"979331007\n",
"344673031\n",
"451997183\n",
"1939240\n",
"663226810\n",
"231834051\n",
"103311602\n",
"2152920\n",
"1619940\n",
"21732\n",
"407776\n",
"2150400\n",
"474891819\n",
"356570831\n",
"420513930\n",
"1917720\n",
"674445710\n",
"611592828\n",
"81271602\n",
"1975380\n",
"1958120\n",
"21699\n",
"412242\n",
"2149960\n",
"519791772\n",
"396755184\n",
"493216989\n",
"1698240\n",
"636265516\n",
"281068233\n",
"3243561\n",
"1769120\n",
"1880700\n",
"12330\n",
"884664\n",
"2130200\n",
"618703130\n",
"385303984\n",
"492456889\n",
"1659420\n",
"682809963\n",
"304493706\n",
"987387961\n",
"1747800\n",
"1881140\n",
"10797\n",
"891286\n",
"2089800\n",
"400923629\n",
"208969343\n",
"549062583\n",
"1659200\n",
"990272781\n",
"101875547\n",
"8760355\n",
"1727140\n",
"1880920\n",
"117429\n",
"1551154\n",
"2604140\n",
"522469082\n",
"208865943\n",
"160575135\n",
"1997600\n",
"77872152\n",
"22887777\n",
"36852461\n",
"1621200\n",
"1842100\n",
"455576\n",
"2726740\n",
"586738882\n",
"13618808\n"
]
} | 2CODEFORCES
|
1195_D2. Submarine in the Rybinsk Sea (hard edition)_332 | This problem differs from the previous one only in the absence of the constraint on the equal length of all numbers a_1, a_2, ..., a_n.
A team of SIS students is going to make a trip on a submarine. Their target is an ancient treasure in a sunken ship lying on the bottom of the Great Rybinsk sea. Unfortunately, the students don't know the coordinates of the ship, so they asked Meshanya (who is a hereditary mage) to help them. He agreed to help them, but only if they solve his problem.
Let's denote a function that alternates digits of two numbers f(a_1 a_2 ... a_{p - 1} a_p, b_1 b_2 ... b_{q - 1} b_q), where a_1 ... a_p and b_1 ... b_q are digits of two integers written in the decimal notation without leading zeros.
In other words, the function f(x, y) alternately shuffles the digits of the numbers x and y by writing them from the lowest digits to the older ones, starting with the number y. The result of the function is also built from right to left (that is, from the lower digits to the older ones). If the digits of one of the arguments have ended, then the remaining digits of the other argument are written out. Familiarize with examples and formal definitions of the function below.
For example: $$$f(1111, 2222) = 12121212 f(7777, 888) = 7787878 f(33, 44444) = 4443434 f(555, 6) = 5556 f(111, 2222) = 2121212$$$
Formally,
* if p ≥ q then f(a_1 ... a_p, b_1 ... b_q) = a_1 a_2 ... a_{p - q + 1} b_1 a_{p - q + 2} b_2 ... a_{p - 1} b_{q - 1} a_p b_q;
* if p < q then f(a_1 ... a_p, b_1 ... b_q) = b_1 b_2 ... b_{q - p} a_1 b_{q - p + 1} a_2 ... a_{p - 1} b_{q - 1} a_p b_q.
Mishanya gives you an array consisting of n integers a_i, your task is to help students to calculate ∑_{i = 1}^{n}∑_{j = 1}^{n} f(a_i, a_j) modulo 998 244 353.
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of elements in the array. The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — the elements of the array.
Output
Print the answer modulo 998 244 353.
Examples
Input
3
12 3 45
Output
12330
Input
2
123 456
Output
1115598 | import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;
import java.util.TreeSet;
public class Solve7 {
public static void main(String[] args) throws IOException {
PrintWriter pw = new PrintWriter(System.out);
new Solve7().solve(pw);
pw.flush();
pw.close();
}
public void solve(PrintWriter pw) throws IOException {
FastReader sc = new FastReader();
int n = sc.nextInt();
int[] a = new int[n];
int[][] freq = new int[11][10];
int[] num = new int[11];
for (int i = 0; i < n; i++) {
int x = sc.nextInt();
a[i] = x;
int c = 0;
int len = 0;
while (x != 0) {
++freq[c++][x % 10];
x /= 10;
++len;
}
++num[len];
}
final int MOD = 998244353;
long ans = 0;
for (int i = 0; i < n; i++) {
int x = a[i];
int c = 0;
int digits = 0;
for (int k = 0; k < 10; k++) {
int count = 0;
for (int j = 0; j < 10; j++) {
ans += (j * powerWithMod(10, c, MOD)) * freq[digits][j];
count += freq[digits][j];
ans %= MOD;
}
++digits;
if (count == 0) {
break;
}
++c;
if (x != 0) {
ans += 1l * (x % 10) * powerWithMod(10, c, MOD) * count;
ans %= MOD;
++c;
x /= 10;
ans += 1l * x * powerWithMod(10, c, MOD) * num[digits];
ans %= MOD;
}
}
}
pw.println(ans);
}
public long powerWithMod(long a, long n, long mod) {
if (n == 0) {
return 1;
}
if (n == 1) {
return a % mod;
}
long y = powerWithMod(a, n / 2, mod);
if ((n & 1) == 1) {
return (((y * y) % mod) * a) % mod;
} else {
return (y * y) % mod;
}
}
static class FastReader {
BufferedReader br;
StringTokenizer st;
public FastReader() {
br = new BufferedReader(new InputStreamReader(System.in));
}
public FastReader(String s) {
try {
br = new BufferedReader(new FileReader(s));
} catch (FileNotFoundException e) {
}
}
public String next() {
if (st == null || !st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
} catch (Exception e) {
}
}
return st.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
public long nextLong() {
return Long.parseLong(next());
}
public double nextDouble() {
return Double.parseDouble(next());
}
public String nextLine() {
try {
return br.readLine();
} catch (Exception e) {
}
return null;
}
public boolean hasNext() throws IOException {
if (st != null && st.hasMoreTokens()) {
return true;
}
String s = br.readLine();
if (s == null || s.isEmpty()) {
return false;
}
st = new StringTokenizer(s);
return true;
}
}
}
| 4JAVA
| {
"input": [
"3\n12 3 45\n",
"2\n123 456\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 55 49 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 9287 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 653 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 1651 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 5327 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 9635 3275 1958 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 1 74 39 86 11 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 7372 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 6999 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n123767132\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 7735 8024 4006 4845 9123 2957 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 55 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 13\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 38 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 82 14 30 77 41 69 4 37 85 81 62\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 87 49 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 653 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 1651 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 9635 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 86 11 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 6999 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n21106256\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 2957 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 38 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 13\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 53 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 82 14 30 77 41 69 4 37 85 50 62\n",
"3\n12 2 45\n",
"2\n64 456\n",
"20\n76 86 70 7 16 24 10 62 26 29 40 65 87 73 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 577 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1299 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 5895 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 86 20 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 8010 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n27524816\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 9273 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n80 9 38 1 98 29 81 10 96 100 70 87 86 12 58 82 10 22 59 17\n",
"20\n56 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 97 21 52\n",
"20\n4 53 9 79 47 2 64 98 51 34 14 30 77 41 69 4 37 85 50 62\n",
"3\n12 2 81\n",
"2\n64 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 43 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 1606 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1303 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 1650 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 68 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9533 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n52552165\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 521 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 97 21 52\n",
"20\n4 53 11 79 47 2 64 98 51 34 14 30 77 41 69 4 37 85 50 62\n",
"3\n11 2 81\n",
"2\n72 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 8 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 2614 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 5004 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 5220 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 52 57 82 71 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 3418 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n75807138\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 5815 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 65 12 15 93 78 10 21 52\n",
"20\n4 53 11 79 47 2 64 98 51 34 14 30 77 41 113 4 37 85 50 62\n",
"3\n11 1 81\n",
"2\n95 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 40 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 9208 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8290 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 580 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 39 94 20 52 57 82 2 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 7250 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n11795568\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 5732 6398 3099 2579\n",
"20\n93 42 16 26 62 47 23 74 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 4 37 85 50 62\n",
"3\n8 1 81\n",
"2\n116 316\n",
"20\n76 86 70 7 16 24 10 75 26 29 32 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 232 256 255 90 3959 690 550 9846 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 6708 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 3205 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 57 82 2 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 1756 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n793339\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 1928 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 74 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 6 37 85 50 62\n",
"3\n8 1 70\n",
"2\n116 347\n",
"20\n76 86 70 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 232 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1491 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 5959 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 8693 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 57 82 1 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 73 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 9675 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n10190\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 5009 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 2989 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 66 70 47 97 26 7 12 15 93 78 10 21 52\n",
"20\n4 53 11 38 47 2 64 98 51 34 14 30 77 41 113 5 37 85 50 62\n",
"3\n8 1 124\n",
"2\n116 641\n",
"20\n76 86 117 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 6 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 3 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1284 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1487 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 7311 9307 4840 2545 2041 5300\n",
"100\n15 7214 8212 5959 5610 4217 2610 235 5691 7149 2027 7344 6416 139 481 4653 4909 13875 9715 6209 2087 6580 1234 6189 7049 519 8482 886 19 1763 5819 4630 9238 549 6236 7946 4585 5283 1187 2501 9159 4375 2374 7068 8223 8177 9645 8825 2547 5669 8725 6329 601 1131 9390 9293 8013 7198 5774 2460 3949 2190 3437 1264 2988 8366 5399 8021 1247 2342 3501 1149 9059 6354 9108 8686 9813 673 6804 7218 7400 8006 9002 3574 15969 3275 2556 9867 8912 9241 5518 1497 4943 2451 937 2820 8865 7544 6821 340\n",
"20\n28 98 66 48 2 74 18 94 20 52 102 82 1 78 96 21 51 35 3 11\n",
"100\n3615 1436 2205 5695 9684 7621 391 1579 557 420 73 5265 247 5494 3509 6089 2931 2429 4939 8030 2901 1150 5389 7168 6213 2723 4301 8638 3857 9178 4723 1932 1161 1412 8200 5226 1474 3495 9652 8555 6372 1517 8034 6547 1148 9651 2399 3065 1844 1149 7758 3226 9844 4234 510 7652 162 4745 8162 2732 2112 4041 3392 6344 671 4120 4659 7718 8660 7102 9098 6195 3368 9411 6710 2261 4388 7125 3808 978 398 9286 1280 7382 1095 8203 5687 9281 3722 8159 470 5735 4210 3694 2197 5422 816 7546 9965 2963\n",
"1\n2877\n",
"100\n7039 7577 5463 7876 8938 6398 2374 5567 301 1898 8004 3653 6146 13634 8024 4006 4845 9123 5247 2271 6649 7439 5602 1551 70 1443 8522 2111 8170 2152 3949 714 6557 7548 309 9826 3500 866 9474 1769 3961 6927 6519 1001 7849 8030 1914 7309 7589 6077 3576 4981 5642 8862 3406 4886 5945 4631 4017 536 2674 8850 2727 918 2702 6974 5148 3841 3259 2940 6750 8686 2718 1922 5586 3395 3549 6220 6653 782 9952 7446 2907 2206 7926 2579 4555 2989 5663 7672 7408 2851 5713 8355 1106 812 6406 6398 3099 2579\n",
"20\n93 31 16 26 62 47 23 66 70 47 97 26 7 12 15 93 26 10 21 52\n",
"20\n4 53 11 38 26 2 64 98 51 34 14 30 77 41 113 5 37 85 50 62\n",
"2\n116 162\n",
"20\n76 86 117 7 16 24 10 75 26 29 12 65 87 73 34 55 92 47 11 100\n",
"100\n6591 1074 3466 3728 549 5440 533 3543 1536 2967 1587 304 6326 6410 8670 6736 4482 8431 1697 9264 8338 2995 3725 1805 488 4563 4261 6025 2602 1892 9297 4359 1139 7117 1423 4834 5663 7912 1245 960 3059 8964 785 1590 4226 7093 5537 7285 1929 4499 9803 7277 212 2311 9198 9355 6422 639 9919 4656 1734 85 4102 3986 956 7000 4910 1897 6648 15661 3144 2850 6044 3842 3 256 255 90 3959 690 550 16661 1567 8750 2804 7411 9986 7221 1163 9615 1882 7084 7631 1181 6220 505 9756 8692 7879 4916\n",
"100\n463 6421 2912 1546 3999 5175 4357 2259 7380 6081 1148 7857 3532 4168 5643 8819 2568 6681 975 9216 4590 5217 6215 7422 6631 3026 39 4268 8148 2022 3175 8281 1552 980 9314 234 934 5133 6712 1880 2766 5042 4774 5455 6038 6010 6022 1553 4015 4544 3985 4033 223 7682 6302 2121 4832 3956 9872 8340 1487 6763 2063 3101 4733 8339 2933 8477 7857 6074 1165 5768 3029 7138 8653 9121 6901 6803 5306 9098 6803 2902 9941 3926 3269 5739 3823 7278 3413 5796 4346 9968 3024 3416 2252 9307 4840 2545 2041 5300\n"
],
"output": [
"12330\n",
"1115598\n",
"2178920\n",
"167137718\n",
"495837625\n",
"666837072\n",
"1899280\n",
"674832474\n",
"116407724\n",
"906817803\n",
"2248760\n",
"1934680\n",
"1675580\n",
"2242660\n",
"13982254\n",
"347790637\n",
"613710519\n",
"1899500\n",
"671511939\n",
"820819272\n",
"117197055\n",
"2209020\n",
"1977580\n",
"1620160\n",
"12297\n",
"544420\n",
"2304640\n",
"968948807\n",
"355917431\n",
"423239624\n",
"1919480\n",
"596913898\n",
"853583545\n",
"97583996\n",
"2209900\n",
"2065580\n",
"1528600\n",
"21765\n",
"405620\n",
"2326400\n",
"979331007\n",
"344673031\n",
"451997183\n",
"1939240\n",
"663226810\n",
"231834051\n",
"103311602\n",
"2152920\n",
"1619940\n",
"21732\n",
"407776\n",
"2150400\n",
"474891819\n",
"356570831\n",
"420513930\n",
"1917720\n",
"674445710\n",
"611592828\n",
"81271602\n",
"1975380\n",
"1958120\n",
"21699\n",
"412242\n",
"2149960\n",
"519791772\n",
"396755184\n",
"493216989\n",
"1698240\n",
"636265516\n",
"281068233\n",
"3243561\n",
"1769120\n",
"1880700\n",
"12330\n",
"884664\n",
"2130200\n",
"618703130\n",
"385303984\n",
"492456889\n",
"1659420\n",
"682809963\n",
"304493706\n",
"987387961\n",
"1747800\n",
"1881140\n",
"10797\n",
"891286\n",
"2089800\n",
"400923629\n",
"208969343\n",
"549062583\n",
"1659200\n",
"990272781\n",
"101875547\n",
"8760355\n",
"1727140\n",
"1880920\n",
"117429\n",
"1551154\n",
"2604140\n",
"522469082\n",
"208865943\n",
"160575135\n",
"1997600\n",
"77872152\n",
"22887777\n",
"36852461\n",
"1621200\n",
"1842100\n",
"455576\n",
"2726740\n",
"586738882\n",
"13618808\n"
]
} | 2CODEFORCES
|
1236_A. Stones_333 | Alice is playing with some stones.
Now there are three numbered heaps of stones. The first of them contains a stones, the second of them contains b stones and the third of them contains c stones.
Each time she can do one of two operations:
1. take one stone from the first heap and two stones from the second heap (this operation can be done only if the first heap contains at least one stone and the second heap contains at least two stones);
2. take one stone from the second heap and two stones from the third heap (this operation can be done only if the second heap contains at least one stone and the third heap contains at least two stones).
She wants to get the maximum number of stones, but she doesn't know what to do. Initially, she has 0 stones. Can you help her?
Input
The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Next t lines describe test cases in the following format:
Line contains three non-negative integers a, b and c, separated by spaces (0 ≤ a,b,c ≤ 100) — the number of stones in the first, the second and the third heap, respectively.
In hacks it is allowed to use only one test case in the input, so t = 1 should be satisfied.
Output
Print t lines, the answers to the test cases in the same order as in the input. The answer to the test case is the integer — the maximum possible number of stones that Alice can take after making some operations.
Example
Input
3
3 4 5
1 0 5
5 3 2
Output
9
0
6
Note
For the first test case in the first test, Alice can take two stones from the second heap and four stones from the third heap, making the second operation two times. Then she can take one stone from the first heap and two stones from the second heap, making the first operation one time. The summary number of stones, that Alice will take is 9. It is impossible to make some operations to take more than 9 stones, so the answer is 9. | t = input()
for _ in xrange(t):
a, b, c = map(int, raw_input().strip().split())
z = c / 2
ans = 0
for x in xrange(a + 1):
for y in xrange(z + 1):
if 2 * x + y > b: break
ans = max(ans, 3 * (x + y))
print ans | 1Python2
| {
"input": [
"3\n3 4 5\n1 0 5\n5 3 2\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 3 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 0\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n2 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 2\n3 3 3\n",
"20\n2 0 8\n8 3 5\n8 10 3\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"5\n100 100 100\n0 0 0\n0 50 100\n100 50 0\n100 30 100\n",
"20\n6 0 8\n0 6 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n2 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n7 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 1\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n2 3 0\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 0\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n2 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n8 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"5\n100 100 100\n0 0 0\n0 50 100\n100 50 0\n100 30 101\n",
"20\n6 0 8\n0 6 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n7 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n2 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"3\n3 4 5\n1 0 5\n7 3 2\n",
"3\n0 4 5\n1 0 5\n7 3 2\n",
"20\n0 2 3\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 7 5\n10 0 1\n8 1 1\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 7 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 6\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"3\n0 8 5\n0 0 5\n12 3 1\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n1 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 2\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n2 0 8\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n1 10 7\n1 7 3\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n0 0 3\n2 9 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 0\n3 7 7\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 13 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n6 0 8\n0 11 7\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 1 6\n8 18 1\n8 8 0\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 1\n3 7 6\n7 3 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"3\n0 8 5\n1 0 5\n7 3 2\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n2 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"3\n0 8 5\n0 0 5\n7 3 2\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 6\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"3\n0 8 5\n0 0 5\n12 3 2\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n4 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 1 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n4 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 6\n0 9 0\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 6\n0 9 0\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 13 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 0\n3 7 6\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n0 0 3\n2 22 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 1\n3 7 6\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n3 6 10\n4 2 1\n4 4 0\n1 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n6 0 8\n0 11 7\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 1\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 22 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 7 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n6 6 10\n4 2 1\n4 4 0\n1 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 1\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 1 6\n8 18 1\n8 8 0\n"
],
"output": [
"9\n0\n6\n",
"12\n12\n9\n15\n9\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n9\n6\n12\n12\n",
"225\n0\n150\n75\n90\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"6\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n6\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n3\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n9\n6\n12\n12\n",
"225\n0\n150\n75\n90\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"6\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n3\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"9\n0\n6\n",
"6\n0\n6\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n12\n0\n0\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n0\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n0\n12\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n0\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"6\n0\n3\n",
"0\n6\n6\n9\n15\n15\n12\n15\n12\n6\n0\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n18\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n15\n15\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n0\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n15\n9\n6\n0\n0\n12\n0\n0\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n3\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n12\n6\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n15\n6\n0\n12\n9\n0\n18\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n12\n3\n24\n9\n6\n0\n0\n12\n0\n0\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n0\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n12\n3\n12\n3\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n3\n21\n15\n9\n3\n12\n12\n6\n0\n3\n",
"0\n15\n6\n0\n12\n9\n0\n12\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"0\n9\n6\n9\n15\n15\n12\n15\n0\n6\n3\n21\n15\n9\n3\n12\n12\n6\n0\n3\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n3\n24\n12\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n0\n15\n9\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n9\n6\n12\n12\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"6\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n3\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n9\n6\n12\n12\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"6\n0\n6\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"6\n0\n6\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n12\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"6\n0\n6\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n0\n12\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n0\n12\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n12\n6\n0\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"0\n0\n0\n0\n0\n0\n3\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n18\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"0\n0\n0\n0\n0\n0\n3\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n0\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n3\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n3\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"0\n15\n6\n0\n12\n9\n0\n18\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n0\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n12\n3\n12\n3\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"0\n15\n6\n0\n12\n9\n0\n12\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n0\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n12\n3\n12\n3\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n9\n6\n9\n15\n15\n12\n15\n0\n6\n3\n21\n15\n9\n3\n12\n12\n6\n0\n3\n",
"0\n15\n6\n0\n12\n9\n0\n12\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n12\n9\n15\n15\n3\n6\n0\n12\n3\n12\n3\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n3\n24\n12\n"
]
} | 2CODEFORCES
|
1236_A. Stones_334 | Alice is playing with some stones.
Now there are three numbered heaps of stones. The first of them contains a stones, the second of them contains b stones and the third of them contains c stones.
Each time she can do one of two operations:
1. take one stone from the first heap and two stones from the second heap (this operation can be done only if the first heap contains at least one stone and the second heap contains at least two stones);
2. take one stone from the second heap and two stones from the third heap (this operation can be done only if the second heap contains at least one stone and the third heap contains at least two stones).
She wants to get the maximum number of stones, but she doesn't know what to do. Initially, she has 0 stones. Can you help her?
Input
The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Next t lines describe test cases in the following format:
Line contains three non-negative integers a, b and c, separated by spaces (0 ≤ a,b,c ≤ 100) — the number of stones in the first, the second and the third heap, respectively.
In hacks it is allowed to use only one test case in the input, so t = 1 should be satisfied.
Output
Print t lines, the answers to the test cases in the same order as in the input. The answer to the test case is the integer — the maximum possible number of stones that Alice can take after making some operations.
Example
Input
3
3 4 5
1 0 5
5 3 2
Output
9
0
6
Note
For the first test case in the first test, Alice can take two stones from the second heap and four stones from the third heap, making the second operation two times. Then she can take one stone from the first heap and two stones from the second heap, making the first operation one time. The summary number of stones, that Alice will take is 9. It is impossible to make some operations to take more than 9 stones, so the answer is 9. | #include <bits/stdc++.h>
using namespace std;
const long long maxn = 1e5 + 1, mod = 1e9 + 7, inf = 1e18;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int t, a, b, c;
cin >> t;
for (int i = 1; i <= t; i++) {
cin >> a >> b >> c;
int tmp = min(b, c / 2);
b -= tmp;
tmp += min(a, b / 2);
cout << tmp * 3 << endl;
}
return 0;
}
| 2C++
| {
"input": [
"3\n3 4 5\n1 0 5\n5 3 2\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 3 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 0\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n2 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 2\n3 3 3\n",
"20\n2 0 8\n8 3 5\n8 10 3\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"5\n100 100 100\n0 0 0\n0 50 100\n100 50 0\n100 30 100\n",
"20\n6 0 8\n0 6 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n2 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n7 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 1\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n2 3 0\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 0\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n2 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n8 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"5\n100 100 100\n0 0 0\n0 50 100\n100 50 0\n100 30 101\n",
"20\n6 0 8\n0 6 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n7 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n2 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"3\n3 4 5\n1 0 5\n7 3 2\n",
"3\n0 4 5\n1 0 5\n7 3 2\n",
"20\n0 2 3\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 7 5\n10 0 1\n8 1 1\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 7 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 6\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"3\n0 8 5\n0 0 5\n12 3 1\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n1 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 2\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n2 0 8\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n1 10 7\n1 7 3\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n0 0 3\n2 9 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 0\n3 7 7\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 13 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n6 0 8\n0 11 7\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 1 6\n8 18 1\n8 8 0\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 1\n3 7 6\n7 3 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"3\n0 8 5\n1 0 5\n7 3 2\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n2 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"3\n0 8 5\n0 0 5\n7 3 2\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 6\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"3\n0 8 5\n0 0 5\n12 3 2\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n4 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 1 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n4 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 6\n0 9 0\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 6\n0 9 0\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 13 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 0\n3 7 6\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n0 0 3\n2 22 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 1\n3 7 6\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n3 6 10\n4 2 1\n4 4 0\n1 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n6 0 8\n0 11 7\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 1\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 22 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 7 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n6 6 10\n4 2 1\n4 4 0\n1 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 1\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 1 6\n8 18 1\n8 8 0\n"
],
"output": [
"9\n0\n6\n",
"12\n12\n9\n15\n9\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n9\n6\n12\n12\n",
"225\n0\n150\n75\n90\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"6\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n6\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n3\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
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"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n9\n6\n12\n12\n",
"225\n0\n150\n75\n90\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
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"12\n9\n0\n9\n12\n18\n6\n15\n6\n3\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"9\n0\n6\n",
"6\n0\n6\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n12\n0\n0\n",
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"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
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"6\n0\n3\n",
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"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n18\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n15\n15\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
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"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n15\n9\n6\n0\n0\n12\n0\n0\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n3\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n12\n6\n24\n9\n6\n0\n0\n12\n0\n0\n",
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"12\n12\n9\n15\n15\n3\n6\n0\n12\n3\n12\n3\n24\n9\n6\n0\n0\n12\n0\n0\n",
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"6\n0\n6\n",
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"6\n0\n6\n",
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"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n0\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n3\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n3\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"0\n15\n6\n0\n12\n9\n0\n18\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n0\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n12\n3\n12\n3\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"0\n15\n6\n0\n12\n9\n0\n12\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n0\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n12\n3\n12\n3\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n9\n6\n9\n15\n15\n12\n15\n0\n6\n3\n21\n15\n9\n3\n12\n12\n6\n0\n3\n",
"0\n15\n6\n0\n12\n9\n0\n12\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n12\n9\n15\n15\n3\n6\n0\n12\n3\n12\n3\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n3\n24\n12\n"
]
} | 2CODEFORCES
|
1236_A. Stones_335 | Alice is playing with some stones.
Now there are three numbered heaps of stones. The first of them contains a stones, the second of them contains b stones and the third of them contains c stones.
Each time she can do one of two operations:
1. take one stone from the first heap and two stones from the second heap (this operation can be done only if the first heap contains at least one stone and the second heap contains at least two stones);
2. take one stone from the second heap and two stones from the third heap (this operation can be done only if the second heap contains at least one stone and the third heap contains at least two stones).
She wants to get the maximum number of stones, but she doesn't know what to do. Initially, she has 0 stones. Can you help her?
Input
The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Next t lines describe test cases in the following format:
Line contains three non-negative integers a, b and c, separated by spaces (0 ≤ a,b,c ≤ 100) — the number of stones in the first, the second and the third heap, respectively.
In hacks it is allowed to use only one test case in the input, so t = 1 should be satisfied.
Output
Print t lines, the answers to the test cases in the same order as in the input. The answer to the test case is the integer — the maximum possible number of stones that Alice can take after making some operations.
Example
Input
3
3 4 5
1 0 5
5 3 2
Output
9
0
6
Note
For the first test case in the first test, Alice can take two stones from the second heap and four stones from the third heap, making the second operation two times. Then she can take one stone from the first heap and two stones from the second heap, making the first operation one time. The summary number of stones, that Alice will take is 9. It is impossible to make some operations to take more than 9 stones, so the answer is 9. | t = int(input())
while t>0:
x, y, z = [int(i) for i in input().split()]
s = 0
f = -1
z = z//2
if y >= z:
y = y - z
s = z*2 + z
else:
s = y*2 + y
f = 1
if f == -1:
y = y//2
if x >= y:
s = s + 2*y + y
else:
s = s + 2*x + x
print(s)
t-=1 | 3Python3
| {
"input": [
"3\n3 4 5\n1 0 5\n5 3 2\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 3 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 0\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n2 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 2\n3 3 3\n",
"20\n2 0 8\n8 3 5\n8 10 3\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"5\n100 100 100\n0 0 0\n0 50 100\n100 50 0\n100 30 100\n",
"20\n6 0 8\n0 6 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n2 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n7 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 1\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n2 3 0\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 0\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n2 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n8 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"5\n100 100 100\n0 0 0\n0 50 100\n100 50 0\n100 30 101\n",
"20\n6 0 8\n0 6 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n7 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n2 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"3\n3 4 5\n1 0 5\n7 3 2\n",
"3\n0 4 5\n1 0 5\n7 3 2\n",
"20\n0 2 3\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 7 5\n10 0 1\n8 1 1\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 7 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 6\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"3\n0 8 5\n0 0 5\n12 3 1\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n1 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 2\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n2 0 8\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n1 10 7\n1 7 3\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n0 0 3\n2 9 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 0\n3 7 7\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 13 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n6 0 8\n0 11 7\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 1 6\n8 18 1\n8 8 0\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 1\n3 7 6\n7 3 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"3\n0 8 5\n1 0 5\n7 3 2\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n2 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"3\n0 8 5\n0 0 5\n7 3 2\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 6\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"3\n0 8 5\n0 0 5\n12 3 2\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n4 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 1 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n4 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 6\n0 9 0\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 6\n0 9 0\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 13 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 0\n3 7 6\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n0 0 3\n2 22 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 1\n3 7 6\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n3 6 10\n4 2 1\n4 4 0\n1 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n6 0 8\n0 11 7\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 1\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 22 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 7 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n6 6 10\n4 2 1\n4 4 0\n1 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 1\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 1 6\n8 18 1\n8 8 0\n"
],
"output": [
"9\n0\n6\n",
"12\n12\n9\n15\n9\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n9\n6\n12\n12\n",
"225\n0\n150\n75\n90\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"6\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n6\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n3\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
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]
} | 2CODEFORCES
|
1236_A. Stones_336 | Alice is playing with some stones.
Now there are three numbered heaps of stones. The first of them contains a stones, the second of them contains b stones and the third of them contains c stones.
Each time she can do one of two operations:
1. take one stone from the first heap and two stones from the second heap (this operation can be done only if the first heap contains at least one stone and the second heap contains at least two stones);
2. take one stone from the second heap and two stones from the third heap (this operation can be done only if the second heap contains at least one stone and the third heap contains at least two stones).
She wants to get the maximum number of stones, but she doesn't know what to do. Initially, she has 0 stones. Can you help her?
Input
The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Next t lines describe test cases in the following format:
Line contains three non-negative integers a, b and c, separated by spaces (0 ≤ a,b,c ≤ 100) — the number of stones in the first, the second and the third heap, respectively.
In hacks it is allowed to use only one test case in the input, so t = 1 should be satisfied.
Output
Print t lines, the answers to the test cases in the same order as in the input. The answer to the test case is the integer — the maximum possible number of stones that Alice can take after making some operations.
Example
Input
3
3 4 5
1 0 5
5 3 2
Output
9
0
6
Note
For the first test case in the first test, Alice can take two stones from the second heap and four stones from the third heap, making the second operation two times. Then she can take one stone from the first heap and two stones from the second heap, making the first operation one time. The summary number of stones, that Alice will take is 9. It is impossible to make some operations to take more than 9 stones, so the answer is 9. | import java.util.*;
public class Problem1236a {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int t = sc.nextInt();
while(t-->0){
int a = sc.nextInt();
int b = sc.nextInt();
int c = sc.nextInt();
int cnt = Math.min(b, c/2);
b-=cnt;
cnt+=Math.min(a, b/2);
System.out.println(3*cnt);
}
}
}
| 4JAVA
| {
"input": [
"3\n3 4 5\n1 0 5\n5 3 2\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 3 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 0\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n2 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 2\n3 3 3\n",
"20\n2 0 8\n8 3 5\n8 10 3\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"5\n100 100 100\n0 0 0\n0 50 100\n100 50 0\n100 30 100\n",
"20\n6 0 8\n0 6 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n2 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n7 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 1\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n2 3 0\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 0\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n2 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n8 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"5\n100 100 100\n0 0 0\n0 50 100\n100 50 0\n100 30 101\n",
"20\n6 0 8\n0 6 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n7 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n2 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"3\n3 4 5\n1 0 5\n7 3 2\n",
"3\n0 4 5\n1 0 5\n7 3 2\n",
"20\n0 2 3\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 7 5\n10 0 1\n8 1 1\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 7 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 6\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"3\n0 8 5\n0 0 5\n12 3 1\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n1 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 2\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n2 0 8\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n1 10 7\n1 7 3\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n0 0 3\n2 9 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 0\n3 7 7\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 13 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n6 0 8\n0 11 7\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 1 6\n8 18 1\n8 8 0\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 1\n3 7 6\n7 3 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 10 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n0 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n4 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 9 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 9\n2 9 7\n7 3 3\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 8 10\n6 3 4\n10 10 0\n0 7 4\n6 2 2\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 8 5\n10 0 1\n8 1 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n3 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 4\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 6 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n9 5 0\n2 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"3\n0 8 5\n1 0 5\n7 3 2\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n3 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n9 10 0\n2 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n2 14 1\n5 5 10\n10 8 6\n3 6 0\n10 9 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n2 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"3\n0 8 5\n0 0 5\n7 3 2\n",
"20\n9 4 8\n10 6 7\n4 6 0\n7 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 11 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 3\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 2\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 6\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n2 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n3 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n4 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"3\n0 8 5\n0 0 5\n12 3 2\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n4 3 9\n5 0 8\n5 8 10\n1 4 2\n6 4 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 1 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 8\n5 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n8 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n3 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n8 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n8 4 8\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 4\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 0 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 7 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 8 7\n3 1 7\n3 10 7\n1 7 3\n7 9 1\n1 6 9\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n3 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 8\n8 3 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 4 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 6 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 0 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n4 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n4 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 6\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"64\n0 0 0\n0 0 1\n0 0 2\n0 0 3\n0 1 0\n0 1 1\n0 1 2\n0 1 0\n0 2 0\n0 2 1\n1 2 2\n0 2 3\n0 3 0\n0 3 1\n0 3 2\n0 3 3\n1 1 0\n1 0 1\n1 0 2\n1 0 3\n1 1 0\n1 1 1\n1 1 2\n1 1 3\n1 2 0\n1 2 1\n1 2 2\n1 2 3\n1 3 0\n1 3 1\n1 3 2\n1 3 3\n2 0 0\n2 0 1\n2 0 2\n2 0 3\n2 1 0\n2 1 1\n2 1 2\n2 1 3\n2 2 0\n2 2 1\n2 2 2\n2 2 3\n2 3 0\n3 3 1\n2 3 3\n2 3 3\n3 0 0\n5 0 1\n4 0 2\n3 0 3\n3 1 0\n3 1 1\n3 1 2\n3 1 3\n6 2 0\n3 2 1\n3 2 2\n3 2 3\n3 3 0\n6 3 1\n3 3 0\n3 3 3\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 2\n10 3 1\n10 2 6\n8 9 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 1\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n8 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 5\n0 9 0\n",
"20\n0 2 3\n2 9 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n3 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 6\n0 9 0\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n3 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 8 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 2\n3 7 7\n7 10 6\n0 9 0\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n12 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n6 0 8\n0 11 5\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 0\n0 14 2\n5 5 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 13 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 8 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n2 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 0\n3 7 6\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n3 6 10\n4 2 1\n4 4 0\n2 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 0\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 2 6\n8 18 1\n8 8 0\n",
"20\n0 0 3\n2 22 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 6 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n8 4 11\n10 3 7\n0 0 1\n2 3 8\n9 4 10\n4 0 10\n6 3 4\n10 10 0\n0 8 6\n6 2 4\n3 10 2\n2 7 6\n1 2 6\n5 3 1\n1 3 4\n5 1 10\n4 1 1\n3 7 6\n7 10 6\n0 9 0\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n3 6 10\n4 2 1\n4 4 0\n1 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n6 0 8\n0 11 7\n1 7 3\n6 5 2\n12 10 0\n1 6 8\n9 8 1\n1 9 8\n0 0 10\n18 5 1\n0 14 2\n5 9 10\n10 8 6\n3 12 0\n10 1 2\n6 9 1\n2 4 10\n10 3 4\n10 0 10\n6 1 9\n",
"20\n0 0 3\n2 22 7\n7 3 5\n9 0 10\n8 8 0\n3 3 9\n5 0 8\n5 4 10\n1 4 2\n6 6 7\n3 9 0\n4 5 7\n5 6 1\n2 9 2\n0 7 4\n5 9 1\n6 0 7\n0 6 10\n2 10 7\n4 5 10\n",
"20\n9 4 8\n10 6 7\n4 6 0\n2 9 6\n6 6 10\n4 2 1\n4 4 0\n1 0 0\n8 5 7\n3 1 7\n1 10 7\n1 7 0\n7 18 2\n1 6 5\n0 9 5\n4 0 1\n2 0 0\n4 7 5\n10 0 1\n7 0 1\n",
"20\n3 0 6\n8 4 5\n9 10 1\n3 2 12\n4 2 1\n0 3 7\n0 7 5\n7 7 8\n3 3 9\n1 7 5\n0 8 4\n6 3 1\n13 1 10\n5 3 2\n0 0 0\n7 9 4\n10 3 1\n10 1 6\n8 18 1\n8 8 0\n"
],
"output": [
"9\n0\n6\n",
"12\n12\n9\n15\n9\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n9\n6\n12\n12\n",
"225\n0\n150\n75\n90\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"6\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n6\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n3\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n15\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n9\n6\n12\n12\n",
"225\n0\n150\n75\n90\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n6\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"6\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n3\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"9\n0\n6\n",
"6\n0\n6\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n9\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"12\n9\n0\n9\n12\n18\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n6\n12\n0\n0\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n0\n15\n15\n9\n15\n12\n12\n6\n0\n3\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n12\n15\n6\n0\n0\n12\n0\n0\n",
"0\n0\n0\n0\n0\n0\n3\n0\n0\n0\n3\n3\n0\n0\n3\n3\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n6\n6\n0\n0\n0\n0\n0\n0\n3\n3\n3\n3\n3\n3\n3\n3\n3\n6\n",
"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"0\n6\n6\n9\n15\n18\n12\n15\n12\n6\n0\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"6\n0\n3\n",
"0\n6\n6\n9\n15\n15\n12\n15\n12\n6\n0\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n18\n12\n9\n9\n6\n12\n3\n15\n15\n15\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n18\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n15\n15\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n0\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
"12\n9\n0\n9\n12\n0\n6\n15\n9\n6\n12\n15\n6\n3\n6\n3\n3\n15\n18\n0\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n15\n9\n6\n0\n0\n12\n0\n0\n",
"3\n15\n6\n0\n12\n9\n0\n18\n6\n12\n9\n12\n9\n9\n6\n12\n0\n15\n15\n15\n",
"12\n12\n9\n15\n15\n3\n6\n0\n15\n3\n18\n6\n24\n9\n6\n0\n0\n12\n0\n0\n",
"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n24\n12\n",
"0\n6\n6\n9\n15\n15\n12\n15\n0\n6\n3\n15\n15\n9\n3\n12\n12\n6\n0\n3\n",
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"6\n0\n6\n",
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"6\n0\n6\n",
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"0\n6\n15\n6\n3\n9\n6\n15\n9\n9\n12\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
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"12\n9\n0\n9\n12\n0\n6\n15\n6\n6\n12\n15\n6\n3\n6\n0\n3\n15\n18\n0\n",
"6\n0\n6\n",
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"0\n9\n15\n6\n3\n9\n6\n15\n9\n9\n6\n3\n3\n6\n0\n15\n3\n6\n12\n12\n",
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]
} | 2CODEFORCES
|
1253_F. Cheap Robot_337 | You're given a simple, undirected, connected, weighted graph with n nodes and m edges.
Nodes are numbered from 1 to n. There are exactly k centrals (recharge points), which are nodes 1, 2, …, k.
We consider a robot moving into this graph, with a battery of capacity c, not fixed by the constructor yet. At any time, the battery contains an integer amount x of energy between 0 and c inclusive.
Traversing an edge of weight w_i is possible only if x ≥ w_i, and costs w_i energy points (x := x - w_i).
Moreover, when the robot reaches a central, its battery is entirely recharged (x := c).
You're given q independent missions, the i-th mission requires to move the robot from central a_i to central b_i.
For each mission, you should tell the minimum capacity required to acheive it.
Input
The first line contains four integers n, m, k and q (2 ≤ k ≤ n ≤ 10^5 and 1 ≤ m, q ≤ 3 ⋅ 10^5).
The i-th of the next m lines contains three integers u_i, v_i and w_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i, 1 ≤ w_i ≤ 10^9), that mean that there's an edge between nodes u and v, with a weight w_i.
It is guaranteed that the given graph is simple (there is no self-loop, and there is at most one edge between every pair of nodes) and connected.
The i-th of the next q lines contains two integers a_i and b_i (1 ≤ a_i, b_i ≤ k, a_i ≠ b_i).
Output
You have to output q lines, where the i-th line contains a single integer : the minimum capacity required to acheive the i-th mission.
Examples
Input
10 9 3 1
10 9 11
9 2 37
2 4 4
4 1 8
1 5 2
5 7 3
7 3 2
3 8 4
8 6 13
2 3
Output
12
Input
9 11 3 2
1 3 99
1 4 5
4 5 3
5 6 3
6 4 11
6 7 21
7 2 6
7 8 4
8 9 3
9 2 57
9 3 2
3 1
2 3
Output
38
15
Note
In the first example, the graph is the chain 10 - 9 - 2^C - 4 - 1^C - 5 - 7 - 3^C - 8 - 6, where centrals are nodes 1, 2 and 3.
For the mission (2, 3), there is only one simple path possible. Here is a simulation of this mission when the capacity is 12.
* The robot begins on the node 2, with c = 12 energy points.
* The robot uses an edge of weight 4.
* The robot reaches the node 4, with 12 - 4 = 8 energy points.
* The robot uses an edge of weight 8.
* The robot reaches the node 1 with 8 - 8 = 0 energy points.
* The robot is on a central, so its battery is recharged. He has now c = 12 energy points.
* The robot uses an edge of weight 2.
* The robot is on the node 5, with 12 - 2 = 10 energy points.
* The robot uses an edge of weight 3.
* The robot is on the node 7, with 10 - 3 = 7 energy points.
* The robot uses an edge of weight 2.
* The robot is on the node 3, with 7 - 2 = 5 energy points.
* The robot is on a central, so its battery is recharged. He has now c = 12 energy points.
* End of the simulation.
Note that if value of c was lower than 12, we would have less than 8 energy points on node 4, and we would be unable to use the edge 4 ↔ 1 of weight 8. Hence 12 is the minimum capacity required to acheive the mission.
—
The graph of the second example is described here (centrals are red nodes):
<image>
The robot can acheive the mission (3, 1) with a battery of capacity c = 38, using the path 3 → 9 → 8 → 7 → 2 → 7 → 6 → 5 → 4 → 1
The robot can acheive the mission (2, 3) with a battery of capacity c = 15, using the path 2 → 7 → 8 → 9 → 3 | #include <bits/stdc++.h>
using namespace std;
struct Edge {
int x, y;
long long val;
} e[3 * 100055];
bool cmp(Edge x1, Edge x2) { return x1.val < x2.val; }
int head[100055], to[6 * 100055], nex[6 * 100055];
long long w[6 * 100055];
int edge;
inline void addEdge(int x, int y, long long z) {
to[++edge] = y, w[edge] = z, nex[edge] = head[x], head[x] = edge;
to[++edge] = x, w[edge] = z, nex[edge] = head[y], head[y] = edge;
}
int n, m, k, q;
void init() {
for (int i = 1; i <= n; i++) head[i] = 0;
edge = 0;
}
bool vis[100055];
long long d[100055];
struct node {
int x;
long long val;
node(int x, long long val) : x(x), val(val) {}
friend bool operator<(node x1, node x2) { return x1.val > x2.val; }
};
priority_queue<node> que;
int pre[100055];
int findd(int x) {
if (pre[x] == x) return x;
return pre[x] = findd(pre[x]);
}
long long f[100055][18];
int g[100055][18];
int dep[100055];
int N;
void dfs(int u, int fa) {
for (int i = 1; i <= N; i++) {
g[u][i] = g[g[u][i - 1]][i - 1];
f[u][i] = max(f[u][i - 1], f[g[u][i - 1]][i - 1]);
}
for (int i = head[u]; i; i = nex[i]) {
int v = to[i];
if (v == fa) continue;
dep[v] = dep[u] + 1;
g[v][0] = u;
f[v][0] = w[i];
dfs(v, u);
}
}
inline long long lca(int x, int y) {
if (dep[x] > dep[y]) swap(x, y);
long long ans = 0;
for (int i = N; i >= 0; i--) {
if (dep[g[y][i]] >= dep[x]) {
ans = max(ans, f[y][i]);
y = g[y][i];
}
}
if (x == y) return ans;
for (int i = N; i >= 0; i--) {
if (g[x][i] != g[y][i]) {
ans = max(f[x][i], ans);
ans = max(f[y][i], ans);
x = g[x][i];
y = g[y][i];
}
}
if (x != y) ans = max(ans, f[x][0]), ans = max(ans, f[y][0]);
return ans;
}
int main() {
cin >> n >> m >> k >> q;
int x, y, z;
for (int i = 1; i <= m; i++) {
scanf("%d%d%d", &x, &y, &z);
addEdge(x, y, z);
e[i].x = x, e[i].y = y, e[i].val = z;
}
for (int i = k + 1; i <= n; i++) d[i] = 0x7f7f7f7f7f7f7f7f;
for (int i = 1; i <= k; i++) que.push(node(i, 0));
while (que.size()) {
int u = que.top().x;
que.pop();
if (vis[u]) continue;
vis[u] = true;
for (int i = head[u]; i; i = nex[i]) {
int v = to[i];
if (d[v] > d[u] + w[i]) {
d[v] = d[u] + w[i];
que.push(node(v, d[v]));
}
}
}
for (int i = 1; i <= m; i++) e[i].val += (d[e[i].x] + d[e[i].y]);
sort(e + 1, e + 1 + m, cmp);
init();
for (int i = 1; i <= n; i++) pre[i] = i;
for (int i = 1; i <= m; i++) {
x = e[i].x;
int xx = findd(x);
y = e[i].y;
int yy = findd(y);
if (xx != yy) {
pre[xx] = yy;
addEdge(x, y, e[i].val);
}
}
N = ceil(log2(n));
dep[1] = 1;
dfs(1, 0);
while (q--) {
scanf("%d%d", &x, &y);
printf("%lld\n", lca(x, y));
}
return 0;
}
| 2C++
| {
"input": [
"10 9 3 1\n10 9 11\n9 2 37\n2 4 4\n4 1 8\n1 5 2\n5 7 3\n7 3 2\n3 8 4\n8 6 13\n2 3\n",
"9 11 3 2\n1 3 99\n1 4 5\n4 5 3\n5 6 3\n6 4 11\n6 7 21\n7 2 6\n7 8 4\n8 9 3\n9 2 57\n9 3 2\n3 1\n2 3\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n7 1 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"2 1 2 1\n2 1 1\n1 2\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 1 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"10 9 3 1\n10 9 11\n9 2 37\n2 4 4\n4 1 8\n1 5 2\n5 7 3\n7 3 2\n3 8 4\n8 6 13\n1 3\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 1\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 9\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 2 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 1\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 14\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 14 16\n27 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 1\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 25 14\n19 11 9\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 2 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 1\n2 4\n3 1\n",
"30 35 4 30\n14 1 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 14 16\n27 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 1\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 13\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 14\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 2\n",
"9 11 3 2\n1 3 99\n1 4 5\n4 5 3\n5 6 4\n6 4 11\n6 7 21\n7 2 6\n7 8 4\n8 9 3\n9 2 57\n9 3 2\n3 1\n2 3\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 6\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"10 9 3 1\n10 9 11\n9 2 70\n2 4 4\n4 1 8\n1 5 2\n5 7 3\n7 3 2\n3 8 4\n8 6 13\n1 3\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n2 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 1\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n2 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 1 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 9\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 1\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n27 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 1\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n2 5 944115267\n6 5 805285829\n2 4 134527258\n6 3 702508069\n3 1 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 13\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 14\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 13\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 14\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 3\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 2\n",
"7 11 2 5\n2 6 566092214\n5 1 819742031\n7 1 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n2 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 6 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n4 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 4 11\n4 25 8\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n1 2\n2 4\n2 3\n2 4\n3 1\n",
"10 9 3 1\n10 9 11\n9 2 70\n2 4 4\n4 1 8\n1 5 2\n5 7 3\n7 3 2\n2 8 4\n8 6 13\n1 3\n"
],
"output": [
"12\n",
"38\n15\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n29\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"824801514\n824801514\n824801514\n824801514\n824801514\n",
"1\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"824801514\n824801514\n824801514\n824801514\n824801514\n",
"7\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n11\n36\n36\n36\n36\n36\n36\n11\n11\n11\n36\n11\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n38\n36\n38\n36\n38\n36\n38\n11\n38\n36\n38\n38\n36\n38\n11\n11\n11\n36\n11\n36\n36\n36\n36\n38\n38\n38\n38\n36\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n29\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n23\n36\n36\n36\n11\n36\n11\n23\n23\n23\n36\n23\n36\n36\n36\n36\n23\n23\n11\n23\n36\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n34\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n29\n36\n29\n29\n29\n29\n36\n29\n36\n36\n36\n36\n5\n5\n36\n5\n36\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n23\n34\n34\n34\n11\n34\n11\n23\n23\n23\n34\n23\n34\n34\n34\n34\n23\n23\n11\n23\n34\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n34\n34\n34\n34\n29\n34\n29\n29\n29\n29\n34\n29\n34\n34\n34\n34\n25\n25\n29\n25\n34\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n32\n36\n36\n36\n32\n36\n32\n32\n32\n32\n36\n32\n36\n36\n36\n36\n5\n5\n36\n5\n36\n",
"29\n29\n36\n29\n36\n25\n36\n25\n36\n29\n36\n25\n36\n36\n29\n36\n29\n29\n29\n29\n29\n25\n25\n25\n25\n36\n36\n36\n36\n29\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n23\n34\n34\n34\n11\n34\n11\n23\n23\n23\n34\n23\n34\n34\n34\n34\n23\n23\n11\n23\n11\n",
"39\n15\n",
"38\n38\n38\n38\n38\n38\n38\n38\n38\n29\n38\n38\n38\n36\n38\n36\n29\n29\n29\n38\n29\n38\n38\n38\n38\n36\n36\n36\n36\n38\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n38\n36\n38\n36\n38\n36\n38\n11\n38\n36\n38\n38\n36\n38\n11\n11\n11\n36\n11\n36\n36\n36\n36\n38\n38\n38\n38\n36\n",
"7\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n23\n36\n36\n36\n11\n36\n11\n23\n23\n23\n36\n23\n36\n36\n36\n36\n23\n23\n11\n23\n36\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n34\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n23\n34\n34\n34\n11\n34\n11\n23\n23\n23\n34\n23\n34\n34\n34\n34\n23\n23\n11\n23\n34\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n23\n34\n34\n34\n11\n34\n11\n23\n23\n23\n34\n23\n34\n34\n34\n34\n23\n23\n11\n23\n11\n",
"824801514\n824801514\n824801514\n824801514\n824801514\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n38\n36\n38\n36\n38\n36\n38\n11\n38\n36\n38\n38\n36\n38\n11\n11\n11\n36\n11\n36\n36\n36\n36\n38\n38\n38\n38\n36\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n29\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"7\n"
]
} | 2CODEFORCES
|
1253_F. Cheap Robot_338 | You're given a simple, undirected, connected, weighted graph with n nodes and m edges.
Nodes are numbered from 1 to n. There are exactly k centrals (recharge points), which are nodes 1, 2, …, k.
We consider a robot moving into this graph, with a battery of capacity c, not fixed by the constructor yet. At any time, the battery contains an integer amount x of energy between 0 and c inclusive.
Traversing an edge of weight w_i is possible only if x ≥ w_i, and costs w_i energy points (x := x - w_i).
Moreover, when the robot reaches a central, its battery is entirely recharged (x := c).
You're given q independent missions, the i-th mission requires to move the robot from central a_i to central b_i.
For each mission, you should tell the minimum capacity required to acheive it.
Input
The first line contains four integers n, m, k and q (2 ≤ k ≤ n ≤ 10^5 and 1 ≤ m, q ≤ 3 ⋅ 10^5).
The i-th of the next m lines contains three integers u_i, v_i and w_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i, 1 ≤ w_i ≤ 10^9), that mean that there's an edge between nodes u and v, with a weight w_i.
It is guaranteed that the given graph is simple (there is no self-loop, and there is at most one edge between every pair of nodes) and connected.
The i-th of the next q lines contains two integers a_i and b_i (1 ≤ a_i, b_i ≤ k, a_i ≠ b_i).
Output
You have to output q lines, where the i-th line contains a single integer : the minimum capacity required to acheive the i-th mission.
Examples
Input
10 9 3 1
10 9 11
9 2 37
2 4 4
4 1 8
1 5 2
5 7 3
7 3 2
3 8 4
8 6 13
2 3
Output
12
Input
9 11 3 2
1 3 99
1 4 5
4 5 3
5 6 3
6 4 11
6 7 21
7 2 6
7 8 4
8 9 3
9 2 57
9 3 2
3 1
2 3
Output
38
15
Note
In the first example, the graph is the chain 10 - 9 - 2^C - 4 - 1^C - 5 - 7 - 3^C - 8 - 6, where centrals are nodes 1, 2 and 3.
For the mission (2, 3), there is only one simple path possible. Here is a simulation of this mission when the capacity is 12.
* The robot begins on the node 2, with c = 12 energy points.
* The robot uses an edge of weight 4.
* The robot reaches the node 4, with 12 - 4 = 8 energy points.
* The robot uses an edge of weight 8.
* The robot reaches the node 1 with 8 - 8 = 0 energy points.
* The robot is on a central, so its battery is recharged. He has now c = 12 energy points.
* The robot uses an edge of weight 2.
* The robot is on the node 5, with 12 - 2 = 10 energy points.
* The robot uses an edge of weight 3.
* The robot is on the node 7, with 10 - 3 = 7 energy points.
* The robot uses an edge of weight 2.
* The robot is on the node 3, with 7 - 2 = 5 energy points.
* The robot is on a central, so its battery is recharged. He has now c = 12 energy points.
* End of the simulation.
Note that if value of c was lower than 12, we would have less than 8 energy points on node 4, and we would be unable to use the edge 4 ↔ 1 of weight 8. Hence 12 is the minimum capacity required to acheive the mission.
—
The graph of the second example is described here (centrals are red nodes):
<image>
The robot can acheive the mission (3, 1) with a battery of capacity c = 38, using the path 3 → 9 → 8 → 7 → 2 → 7 → 6 → 5 → 4 → 1
The robot can acheive the mission (2, 3) with a battery of capacity c = 15, using the path 2 → 7 → 8 → 9 → 3 | import java.io.*;
import java.util.*;
public class FTask {
private static final String QUICK_ANSWER = "NO";
private final MyReader in;
private final StringBuilder out;
private final int n;
private final int m;
private final int k;
private final int q;
private final Graph g;
private final int[] a;
private final int[] b;
private final long[] res;
private HashSet<Integer>[] qs;
private int[] root;
private long[] weight;
public FTask(BufferedReader in, StringBuilder out) {
this.in = new MyReader(in);
this.out = out;
n = nextInt();
m = nextInt();
k = nextInt();
q = nextInt();
g = Graph.builder().setN(n).setM(m).setWithWeights(true).build(this.in);
a = new int[q];
b = new int[q];
res = new long[q];
for (int i = 0; i < q; i++) {
a[i] = nextInt() - 1;
b[i] = nextInt() - 1;
}
}
int getRoot(int i) {
int curr = i;
while (root[curr] != curr) curr = root[curr];
while (i != curr) {
int tmp = i;
i = root[i];
root[tmp] = curr;
}
return curr;
}
void union(int n1, int n2, long level) {
n1 = getRoot(n1);
n2 = getRoot(n2);
if (n1 == n2) return;
if (qs[n1] == null) {
root[n1] = n2;
return;
}
if (qs[n2] == null) {
root[n2] = n1;
return;
}
if(qs[n1].size() < qs[n2].size()) {
union(n2, n1, level);
return;
}
for(int i : qs[n2]){
int other = getRoot(a[i]) == n2 ? getRoot(b[i]) : getRoot(a[i]);
if(other == n1) {
res[i] = level;
qs[n1].remove(i);
} else {
qs[n1].add(i);
}
}
qs[n2] = null;
root[n2] = n1;
}
public void solve() throws QuickAnswer {
long[] d = getDist();
weight = new long[g.edgeFrom.length];
for (int i = 0; i < g.edgeFrom.length; i++) {
weight[i] = g.edgeWeight[i] + d[g.edgeFrom[i]] + d[g.edgeTo[i]];
}
Integer[] order = new Integer[g.edgeFrom.length];
for (int i = 0; i < order.length; i++) {
order[i] = i;
}
Arrays.sort(order, Comparator.comparingLong(i -> weight[i]));
qs = new HashSet[g.n];
root = new int[g.n];
for (int i = 0; i < g.n; i++) {
root[i] = i;
}
for (int i = 0; i < q; i++) {
if (qs[a[i]] == null) qs[a[i]] = new HashSet<>();
qs[a[i]].add(i);
if (qs[b[i]] == null) qs[b[i]] = new HashSet<>();
qs[b[i]].add(i);
}
for (int pos : order) {
union(g.edgeFrom[pos], g.edgeTo[pos], weight[pos]);
}
for (long i : res) {
println(i);
}
}
long[] getDist() {
long[] res = new long[n];
Arrays.fill(res, -1);
PriorityQueue<Long> queue = new PriorityQueue<>();
long N = n;
for (int i = 0; i < k; i++) {
queue.add((long) i);
}
while (!queue.isEmpty()) {
Long key = queue.poll();
int node = (int) (key % N);
if (res[node] >= 0) continue;
long dist = key / N;
res[node] = dist;
int[] neighbors = g.neighbors[node];
int[] pathWeight = g.pathWeights[node];
for (int i = 0; i < neighbors.length; i++) {
int neighbor = neighbors[i];
if (res[neighbor] >= 0) continue;
queue.add((dist + pathWeight[i]) * N + neighbor);
}
}
return res;
}
// Common functions
static class MyReader{
private final BufferedReader in;
private StringTokenizer tokenizer;
public MyReader(BufferedReader in) {
this.in = in;
try {
tokenizer = new StringTokenizer(in.readLine());
} catch (IOException e) {
}
}
String nextToken(){
try {
while (!tokenizer.hasMoreTokens()) tokenizer = new StringTokenizer(in.readLine());
} catch (Exception e){
}
return tokenizer.nextToken();
}
int nextInt(){
return Integer.parseInt(nextToken());
}
long nextLong(){
return Long.parseLong(nextToken());
}
String nextLine() {
try {
return in.readLine();
} catch (IOException e) {
return "";
}
}
}
void quickAnswer(String answer) throws QuickAnswer {
throw new QuickAnswer(answer);
}
void quickAnswer() throws QuickAnswer {
quickAnswer(QUICK_ANSWER);
}
static class QuickAnswer extends Exception {
private String answer;
public QuickAnswer(String answer) {
this.answer = answer;
}
}
void print(Object... args) {
String prefix = "";
for (Object arg : args) {
out.append(prefix);
out.append(arg);
prefix = " ";
}
}
void println(Object... args) {
print(args);
out.append("\n");
}
void printsp(Object... args) {
print(args);
out.append(" ");
}
int nextInt() {
return in.nextInt();
}
long nextLong() {
return in.nextLong();
}
String nextString() {
return in.nextLine();
}
int[] nextInts(int count) {
int[] res = new int[count];
for (int i = 0; i < count; ++i) {
res[i] = nextInt();
}
return res;
}
int[][] nextInts(int count, int n) {
int[][] res = new int[n][count];
for (int i = 0; i < count; ++i) {
for (int j = 0; j < n; j++) {
res[j][i] = nextInt();
}
}
return res;
}
long[] nextLongs(int count) {
long[] res = new long[count];
for (int i = 0; i < count; ++i) {
res[i] = nextLong();
}
return res;
}
long[][] nextLongs(int count, int n) {
long[][] res = new long[n][count];
for (int i = 0; i < count; ++i) {
for (int j = 0; j < n; j++) {
res[j][i] = nextLong();
}
}
return res;
}
public static void main(String[] args) {
doMain(System.in, System.out);
}
static void doMain(InputStream inStream, PrintStream outStream) {
BufferedReader in = new BufferedReader(new InputStreamReader(inStream));
StringBuilder totalOut = new StringBuilder();
int count = 1;
//count = in.nextInt();
while (count-- > 0) {
try {
StringBuilder out = new StringBuilder();
new FTask(in, out).solve();
totalOut.append(out.toString());
} catch (QuickAnswer e) {
totalOut.append(e.answer);
}
if (count > 0) {
totalOut.append("\n");
}
}
outStream.print(totalOut.toString());
}
static class Graph {
final int n;
final int[][] neighbors;
final int[][] pathWeights;
final int[] color;
final int[] edgeFrom;
final int[] edgeTo;
final int[] edgeWeight;
static Builder builder() {
return new Builder();
}
static class Builder {
int adjustIndex = -1;
boolean withWeights = false;
int n = -1;
int m = -1;
Builder setAdjustIndex(int adjustIndex) {
this.adjustIndex = adjustIndex;
return this;
}
Builder setWithWeights(boolean withWeights) {
this.withWeights = withWeights;
return this;
}
Builder setN(int n) {
this.n = n;
return this;
}
Builder setM(int m) {
this.m = m;
return this;
}
Graph build(MyReader in) {
return new Graph(
in,
n == -1 ? in.nextInt() : n,
m == -1 ? in.nextInt() : m,
adjustIndex,
withWeights);
}
}
Graph(MyReader in, int n, int m, int adjustIndex, boolean withWeights) {
this.n = n;
this.color = new int[n];
int[] cnt = new int[n];
edgeFrom = new int[m];
edgeTo = new int[m];
edgeWeight = new int[m];
for (int i = 0; i < m; ++i) {
int x = in.nextInt() + adjustIndex;
int y = in.nextInt() + adjustIndex;
edgeFrom[i] = x;
edgeTo[i] = y;
edgeWeight[i] = withWeights ? in.nextInt() : 1;
cnt[x]++;
cnt[y]++;
}
this.neighbors = new int[n][];
this.pathWeights = new int[n][];
for (int i = 0; i < n; i++) {
neighbors[i] = new int[cnt[i]];
pathWeights[i] = new int[cnt[i]];
}
for (int i = 0; i < m; ++i) {
int from = edgeFrom[i];
int to = edgeTo[i];
neighbors[from][--cnt[from]] = to;
pathWeights[from][cnt[from]] = edgeWeight[i];
neighbors[to][--cnt[to]] = from;
pathWeights[to][cnt[to]] = edgeWeight[i];
}
}
}
}
| 4JAVA
| {
"input": [
"10 9 3 1\n10 9 11\n9 2 37\n2 4 4\n4 1 8\n1 5 2\n5 7 3\n7 3 2\n3 8 4\n8 6 13\n2 3\n",
"9 11 3 2\n1 3 99\n1 4 5\n4 5 3\n5 6 3\n6 4 11\n6 7 21\n7 2 6\n7 8 4\n8 9 3\n9 2 57\n9 3 2\n3 1\n2 3\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n7 1 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"2 1 2 1\n2 1 1\n1 2\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 1 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"10 9 3 1\n10 9 11\n9 2 37\n2 4 4\n4 1 8\n1 5 2\n5 7 3\n7 3 2\n3 8 4\n8 6 13\n1 3\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 1\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 9\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 2 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 1\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 14\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 14 16\n27 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 1\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 25 14\n19 11 9\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 2 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 1\n2 4\n3 1\n",
"30 35 4 30\n14 1 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 14 16\n27 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 1\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 13\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 14\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 2\n",
"9 11 3 2\n1 3 99\n1 4 5\n4 5 3\n5 6 4\n6 4 11\n6 7 21\n7 2 6\n7 8 4\n8 9 3\n9 2 57\n9 3 2\n3 1\n2 3\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 6\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"10 9 3 1\n10 9 11\n9 2 70\n2 4 4\n4 1 8\n1 5 2\n5 7 3\n7 3 2\n3 8 4\n8 6 13\n1 3\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n2 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 1\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n2 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 1 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 9\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 1\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n27 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 1\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n2 5 944115267\n6 5 805285829\n2 4 134527258\n6 3 702508069\n3 1 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 13\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 14\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 13\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 2 11\n4 25 10\n6 11 22\n2 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 14\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 3\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 2\n",
"7 11 2 5\n2 6 566092214\n5 1 819742031\n7 1 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 3 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n2 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"7 11 2 5\n2 6 558745854\n5 1 819742031\n1 2 76916997\n1 4 960801431\n3 2 642317821\n2 5 5059483\n4 5 944115267\n6 5 805285829\n2 4 90223024\n6 6 702508069\n3 5 373032697\n1 2\n2 1\n1 2\n1 2\n2 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n4 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 4\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n24 11 9\n29 2 1\n12 27 4\n9 27 7\n3 4 11\n4 25 8\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 3\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 3 6\n25 19 5\n26 27 4\n30 27 15\n17 5 17\n15 9 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n4 2\n2 4\n2 3\n2 4\n3 1\n",
"30 35 4 30\n14 2 7\n22 23 2\n5 26 3\n28 4 3\n7 5 29\n19 15 2\n11 20 12\n1 22 9\n30 21 24\n27 11 9\n29 2 1\n12 27 4\n9 27 7\n10 4 11\n4 25 10\n6 11 22\n5 11 26\n9 17 14\n19 11 16\n20 19 4\n18 20 2\n23 21 16\n21 28 4\n3 17 4\n4 19 2\n2 25 31\n16 4 6\n25 19 5\n26 27 2\n30 27 15\n17 5 17\n15 25 1\n8 19 3\n27 4 4\n13 6 2\n3 1\n3 1\n1 2\n1 3\n2 1\n1 4\n1 2\n4 1\n2 1\n3 4\n2 1\n1 4\n2 1\n2 3\n1 3\n2 3\n3 4\n3 4\n4 3\n3 1\n3 4\n4 1\n4 1\n4 1\n4 1\n1 2\n2 4\n2 3\n2 4\n3 1\n",
"10 9 3 1\n10 9 11\n9 2 70\n2 4 4\n4 1 8\n1 5 2\n5 7 3\n7 3 2\n2 8 4\n8 6 13\n1 3\n"
],
"output": [
"12\n",
"38\n15\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n29\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"824801514\n824801514\n824801514\n824801514\n824801514\n",
"1\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"824801514\n824801514\n824801514\n824801514\n824801514\n",
"7\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n11\n36\n36\n36\n36\n36\n36\n11\n11\n11\n36\n11\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n38\n36\n38\n36\n38\n36\n38\n11\n38\n36\n38\n38\n36\n38\n11\n11\n11\n36\n11\n36\n36\n36\n36\n38\n38\n38\n38\n36\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n29\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n23\n36\n36\n36\n11\n36\n11\n23\n23\n23\n36\n23\n36\n36\n36\n36\n23\n23\n11\n23\n36\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n34\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n29\n36\n29\n29\n29\n29\n36\n29\n36\n36\n36\n36\n5\n5\n36\n5\n36\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n23\n34\n34\n34\n11\n34\n11\n23\n23\n23\n34\n23\n34\n34\n34\n34\n23\n23\n11\n23\n34\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n34\n34\n34\n34\n29\n34\n29\n29\n29\n29\n34\n29\n34\n34\n34\n34\n25\n25\n29\n25\n34\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n32\n36\n36\n36\n32\n36\n32\n32\n32\n32\n36\n32\n36\n36\n36\n36\n5\n5\n36\n5\n36\n",
"29\n29\n36\n29\n36\n25\n36\n25\n36\n29\n36\n25\n36\n36\n29\n36\n29\n29\n29\n29\n29\n25\n25\n25\n25\n36\n36\n36\n36\n29\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n23\n34\n34\n34\n11\n34\n11\n23\n23\n23\n34\n23\n34\n34\n34\n34\n23\n23\n11\n23\n11\n",
"39\n15\n",
"38\n38\n38\n38\n38\n38\n38\n38\n38\n29\n38\n38\n38\n36\n38\n36\n29\n29\n29\n38\n29\n38\n38\n38\n38\n36\n36\n36\n36\n38\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n38\n36\n38\n36\n38\n36\n38\n11\n38\n36\n38\n38\n36\n38\n11\n11\n11\n36\n11\n36\n36\n36\n36\n38\n38\n38\n38\n36\n",
"7\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n23\n36\n36\n36\n11\n36\n11\n23\n23\n23\n36\n23\n36\n36\n36\n36\n23\n23\n11\n23\n36\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n34\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n23\n34\n34\n34\n11\n34\n11\n23\n23\n23\n34\n23\n34\n34\n34\n34\n23\n23\n11\n23\n34\n",
"34\n34\n34\n34\n34\n34\n34\n34\n34\n23\n34\n34\n34\n11\n34\n11\n23\n23\n23\n34\n23\n34\n34\n34\n34\n23\n23\n11\n23\n11\n",
"824801514\n824801514\n824801514\n824801514\n824801514\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"76916997\n76916997\n76916997\n76916997\n76916997\n",
"36\n36\n36\n36\n36\n36\n36\n36\n36\n29\n36\n36\n36\n36\n36\n36\n29\n29\n29\n36\n29\n36\n36\n36\n36\n36\n36\n36\n36\n36\n",
"36\n36\n38\n36\n38\n36\n38\n36\n38\n11\n38\n36\n38\n38\n36\n38\n11\n11\n11\n36\n11\n36\n36\n36\n36\n38\n38\n38\n38\n36\n",
"34\n34\n36\n34\n36\n34\n36\n34\n36\n29\n36\n34\n36\n36\n34\n36\n29\n29\n29\n34\n29\n34\n34\n34\n34\n36\n36\n36\n36\n34\n",
"7\n"
]
} | 2CODEFORCES
|
1277_E. Two Fairs_339 | There are n cities in Berland and some pairs of them are connected by two-way roads. It is guaranteed that you can pass from any city to any other, moving along the roads. Cities are numerated from 1 to n.
Two fairs are currently taking place in Berland — they are held in two different cities a and b (1 ≤ a, b ≤ n; a ≠ b).
Find the number of pairs of cities x and y (x ≠ a, x ≠ b, y ≠ a, y ≠ b) such that if you go from x to y you will have to go through both fairs (the order of visits doesn't matter). Formally, you need to find the number of pairs of cities x,y such that any path from x to y goes through a and b (in any order).
Print the required number of pairs. The order of two cities in a pair does not matter, that is, the pairs (x,y) and (y,x) must be taken into account only once.
Input
The first line of the input contains an integer t (1 ≤ t ≤ 4⋅10^4) — the number of test cases in the input. Next, t test cases are specified.
The first line of each test case contains four integers n, m, a and b (4 ≤ n ≤ 2⋅10^5, n - 1 ≤ m ≤ 5⋅10^5, 1 ≤ a,b ≤ n, a ≠ b) — numbers of cities and roads in Berland and numbers of two cities where fairs are held, respectively.
The following m lines contain descriptions of roads between cities. Each of road description contains a pair of integers u_i, v_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i) — numbers of cities connected by the road.
Each road is bi-directional and connects two different cities. It is guaranteed that from any city you can pass to any other by roads. There can be more than one road between a pair of cities.
The sum of the values of n for all sets of input data in the test does not exceed 2⋅10^5. The sum of the values of m for all sets of input data in the test does not exceed 5⋅10^5.
Output
Print t integers — the answers to the given test cases in the order they are written in the input.
Example
Input
3
7 7 3 5
1 2
2 3
3 4
4 5
5 6
6 7
7 5
4 5 2 3
1 2
2 3
3 4
4 1
4 2
4 3 2 1
1 2
2 3
4 1
Output
4
0
1 | import os
import sys
from atexit import register
from io import BytesIO
sys.stdin = BytesIO(os.read(0, os.fstat(0).st_size))
sys.stdout = BytesIO()
register(lambda: os.write(1, sys.stdout.getvalue()))
input = lambda: sys.stdin.readline().rstrip('\r\n')
raw_input = lambda: sys.stdin.readline().rstrip('\r\n')
def find(x,same):
tmp = []
while same[x]!=x:
tmp.append(x)
x = same[x]
for v in tmp:
same[v] = x
return same[x]
def merge(a,b,same):
a = find(a,same)
b = find(b,same)
if a==b:
return
else:
same[a] = same[b]
return
t = int(input())
for _ in range(t):
n,m,a,b = map(int,raw_input().split(" "))
a,b = min(a,b),max(a,b)
pairs = []
for i in range(m):
u,v = map(int,raw_input().split(" "))
pairs.append((u,v))
same = range(n+1)
As = []
Bs = []
for x,y in pairs:
if x!=a and x!=b and y!=a and y!=b:
merge(x,y,same)
elif x == a or y == a:
As.append((x,y))
else:
Bs.append((x,y))
for i in range(1,n+1):
find(i,same)
sameA = [0]*(1+n)
sameB = [0]*(1+n)
for i in range(n+1):
sameA[i] = same[i]
sameB[i] = same[i]
for x,y in As:
if (x == a and y == b) or (x ==b and y == a):
continue
merge(x,y,sameA)
for x,y in Bs:
if (x == a and y == b) or (x ==b and y == a):
continue
merge(x,y,sameB)
find(a,sameA)
find(b,sameB)
cnt1 = 0
cnt2 = 0
for i in range(1,n+1):
find(i,sameA)
find(i,sameB)
if sameA[i] == sameA[a]:
cnt1 += 1
if sameB[i] == sameB[b]:
cnt2 += 1
print (n-cnt1-1)*(n-cnt2-1)
| 1Python2
| {
"input": [
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 3\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 6 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 1\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 1\n4 5 2 4\n1 2\n2 1\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n5 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n2 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n4 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n4 6\n6 5\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 2\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 6\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 7\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 7\n5 2\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 2\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 6 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 2\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 7\n6 7\n7 5\n4 5 2 3\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n1 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 3\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 2\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n5 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 3\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n3 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 5\n1 3\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n2 2\n3 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 4\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 6\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n2 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n6 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 1 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n2 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n2 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n5 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n4 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n1 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n"
],
"output": [
"4\n0\n1\n",
"4\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"6\n0\n1\n",
"2\n0\n0\n",
"4\n0\n0\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"2\n0\n0\n",
"2\n0\n0\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n0\n1\n",
"2\n0\n0\n",
"2\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"2\n0\n1\n"
]
} | 2CODEFORCES
|
1277_E. Two Fairs_340 | There are n cities in Berland and some pairs of them are connected by two-way roads. It is guaranteed that you can pass from any city to any other, moving along the roads. Cities are numerated from 1 to n.
Two fairs are currently taking place in Berland — they are held in two different cities a and b (1 ≤ a, b ≤ n; a ≠ b).
Find the number of pairs of cities x and y (x ≠ a, x ≠ b, y ≠ a, y ≠ b) such that if you go from x to y you will have to go through both fairs (the order of visits doesn't matter). Formally, you need to find the number of pairs of cities x,y such that any path from x to y goes through a and b (in any order).
Print the required number of pairs. The order of two cities in a pair does not matter, that is, the pairs (x,y) and (y,x) must be taken into account only once.
Input
The first line of the input contains an integer t (1 ≤ t ≤ 4⋅10^4) — the number of test cases in the input. Next, t test cases are specified.
The first line of each test case contains four integers n, m, a and b (4 ≤ n ≤ 2⋅10^5, n - 1 ≤ m ≤ 5⋅10^5, 1 ≤ a,b ≤ n, a ≠ b) — numbers of cities and roads in Berland and numbers of two cities where fairs are held, respectively.
The following m lines contain descriptions of roads between cities. Each of road description contains a pair of integers u_i, v_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i) — numbers of cities connected by the road.
Each road is bi-directional and connects two different cities. It is guaranteed that from any city you can pass to any other by roads. There can be more than one road between a pair of cities.
The sum of the values of n for all sets of input data in the test does not exceed 2⋅10^5. The sum of the values of m for all sets of input data in the test does not exceed 5⋅10^5.
Output
Print t integers — the answers to the given test cases in the order they are written in the input.
Example
Input
3
7 7 3 5
1 2
2 3
3 4
4 5
5 6
6 7
7 5
4 5 2 3
1 2
2 3
3 4
4 1
4 2
4 3 2 1
1 2
2 3
4 1
Output
4
0
1 | #include <bits/stdc++.h>
using namespace std;
bool vis[200010];
void dfs(vector<long long int> arr[], long long int i, long long int temp) {
vis[i] = true;
for (long long int u : arr[i]) {
if (!vis[u] and u != temp) dfs(arr, u, temp);
}
}
int main() {
long long int t;
cin >> t;
while (t--) {
long long int n, m, a, b, u, v;
cin >> n >> m >> a >> b;
vector<long long int> arr[n + 1];
for (long long int i = 0; i < m; i++) {
cin >> u >> v;
arr[u].push_back(v);
arr[v].push_back(u);
}
memset(vis, false, sizeof(vis));
dfs(arr, a, b);
unordered_set<long long int> us1;
for (long long int i = 1; i <= n; i++) {
if (vis[i]) us1.insert(i);
}
us1.erase(a);
memset(vis, false, sizeof(vis));
dfs(arr, b, a);
unordered_set<long long int> us2;
for (long long int i = 1; i <= n; i++) {
if (vis[i]) us2.insert(i);
}
us2.erase(b);
long long int ans1 = 0, ans2 = 0;
for (auto val : us1) {
if (us2.find(val) == us2.end()) ans1++;
}
for (auto val : us2) {
if (us1.find(val) == us1.end()) ans2++;
}
cout << ans1 * ans2 << "\n";
}
return 0;
}
| 2C++
| {
"input": [
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 3\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 6 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 1\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 1\n4 5 2 4\n1 2\n2 1\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n5 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n2 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n4 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n4 6\n6 5\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 2\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 6\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 7\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 7\n5 2\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 2\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 6 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 2\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 7\n6 7\n7 5\n4 5 2 3\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n1 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 3\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 2\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n5 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 3\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n3 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 5\n1 3\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n2 2\n3 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 4\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 6\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n2 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n6 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 1 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n2 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n2 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n5 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n4 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n1 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n"
],
"output": [
"4\n0\n1\n",
"4\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"6\n0\n1\n",
"2\n0\n0\n",
"4\n0\n0\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"2\n0\n0\n",
"2\n0\n0\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n0\n1\n",
"2\n0\n0\n",
"2\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"2\n0\n1\n"
]
} | 2CODEFORCES
|
1277_E. Two Fairs_341 | There are n cities in Berland and some pairs of them are connected by two-way roads. It is guaranteed that you can pass from any city to any other, moving along the roads. Cities are numerated from 1 to n.
Two fairs are currently taking place in Berland — they are held in two different cities a and b (1 ≤ a, b ≤ n; a ≠ b).
Find the number of pairs of cities x and y (x ≠ a, x ≠ b, y ≠ a, y ≠ b) such that if you go from x to y you will have to go through both fairs (the order of visits doesn't matter). Formally, you need to find the number of pairs of cities x,y such that any path from x to y goes through a and b (in any order).
Print the required number of pairs. The order of two cities in a pair does not matter, that is, the pairs (x,y) and (y,x) must be taken into account only once.
Input
The first line of the input contains an integer t (1 ≤ t ≤ 4⋅10^4) — the number of test cases in the input. Next, t test cases are specified.
The first line of each test case contains four integers n, m, a and b (4 ≤ n ≤ 2⋅10^5, n - 1 ≤ m ≤ 5⋅10^5, 1 ≤ a,b ≤ n, a ≠ b) — numbers of cities and roads in Berland and numbers of two cities where fairs are held, respectively.
The following m lines contain descriptions of roads between cities. Each of road description contains a pair of integers u_i, v_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i) — numbers of cities connected by the road.
Each road is bi-directional and connects two different cities. It is guaranteed that from any city you can pass to any other by roads. There can be more than one road between a pair of cities.
The sum of the values of n for all sets of input data in the test does not exceed 2⋅10^5. The sum of the values of m for all sets of input data in the test does not exceed 5⋅10^5.
Output
Print t integers — the answers to the given test cases in the order they are written in the input.
Example
Input
3
7 7 3 5
1 2
2 3
3 4
4 5
5 6
6 7
7 5
4 5 2 3
1 2
2 3
3 4
4 1
4 2
4 3 2 1
1 2
2 3
4 1
Output
4
0
1 | import sys
import threading
from collections import deque
def func():
lines = sys.stdin.readlines()
nxt = 0
t = int(lines[nxt])
nxt += 1
ans = []
for _ in range(t):
n,m,a,b = map(int, lines[nxt].split())
nxt += 1
g = [[] for _ in range(n)]
for _ in range(m):
u,v = map(int, lines[nxt].split())
nxt += 1
g[u-1].append(v-1)
g[v-1].append(u-1)
a -= 1
b -= 1
sigs = [0]*n
sigs[a] = -1
sigs[b] = -1
cur_sig = 0
inv = {}
cnt = {}
for i in range(n):
if sigs[i]:
continue
cur_sig += 1
cnt[cur_sig] = 1
inv[cur_sig] = set()
sigs[i] = cur_sig
q = deque()
q.append(i)
while len(q):
node = q.popleft()
# if node == a:
# inv[cur_sig].add("A")
# if node == b:
# inv[cur_sig].add("B")
# if sigs[node]:
# continue
# sigs[node] = cur_sig
# cnt[cur_sig] += 1
for v in g[node]:
if v == a:
inv[cur_sig].add("A")
if v == b:
inv[cur_sig].add("B")
if sigs[v]:
continue
sigs[v] = cur_sig
cnt[cur_sig] += 1
q.append(v)
A = 0
B = 0
for k,v in inv.items():
if v == {"A"}:
A += cnt[k]
if v == {"B"}:
B += cnt[k]
ans.append(str(A*B))
print("\n".join(ans))
func()
| 3Python3
| {
"input": [
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 3\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 6 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 1\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 1\n4 5 2 4\n1 2\n2 1\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n5 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n2 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n4 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n4 6\n6 5\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 2\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 6\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 7\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 7\n5 2\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 2\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 6 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 2\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 7\n6 7\n7 5\n4 5 2 3\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n1 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 3\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 2\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n5 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 3\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n3 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 5\n1 3\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n2 2\n3 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 4\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 6\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n2 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n6 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 1 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n2 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n2 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n5 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n4 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n1 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n"
],
"output": [
"4\n0\n1\n",
"4\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"6\n0\n1\n",
"2\n0\n0\n",
"4\n0\n0\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"2\n0\n0\n",
"2\n0\n0\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n0\n1\n",
"2\n0\n0\n",
"2\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"2\n0\n1\n"
]
} | 2CODEFORCES
|
1277_E. Two Fairs_342 | There are n cities in Berland and some pairs of them are connected by two-way roads. It is guaranteed that you can pass from any city to any other, moving along the roads. Cities are numerated from 1 to n.
Two fairs are currently taking place in Berland — they are held in two different cities a and b (1 ≤ a, b ≤ n; a ≠ b).
Find the number of pairs of cities x and y (x ≠ a, x ≠ b, y ≠ a, y ≠ b) such that if you go from x to y you will have to go through both fairs (the order of visits doesn't matter). Formally, you need to find the number of pairs of cities x,y such that any path from x to y goes through a and b (in any order).
Print the required number of pairs. The order of two cities in a pair does not matter, that is, the pairs (x,y) and (y,x) must be taken into account only once.
Input
The first line of the input contains an integer t (1 ≤ t ≤ 4⋅10^4) — the number of test cases in the input. Next, t test cases are specified.
The first line of each test case contains four integers n, m, a and b (4 ≤ n ≤ 2⋅10^5, n - 1 ≤ m ≤ 5⋅10^5, 1 ≤ a,b ≤ n, a ≠ b) — numbers of cities and roads in Berland and numbers of two cities where fairs are held, respectively.
The following m lines contain descriptions of roads between cities. Each of road description contains a pair of integers u_i, v_i (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i) — numbers of cities connected by the road.
Each road is bi-directional and connects two different cities. It is guaranteed that from any city you can pass to any other by roads. There can be more than one road between a pair of cities.
The sum of the values of n for all sets of input data in the test does not exceed 2⋅10^5. The sum of the values of m for all sets of input data in the test does not exceed 5⋅10^5.
Output
Print t integers — the answers to the given test cases in the order they are written in the input.
Example
Input
3
7 7 3 5
1 2
2 3
3 4
4 5
5 6
6 7
7 5
4 5 2 3
1 2
2 3
3 4
4 1
4 2
4 3 2 1
1 2
2 3
4 1
Output
4
0
1 | // Working program using Reader Class
import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.lang.reflect.Array;
import java.util.*;
public class Main1
{
static class Reader
{
final private int BUFFER_SIZE = 1 << 16;
private DataInputStream din;
private byte[] buffer;
private int bufferPointer, bytesRead;
public Reader()
{
din = new DataInputStream(System.in);
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public Reader(String file_name) throws IOException
{
din = new DataInputStream(new FileInputStream(file_name));
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public String readLine() throws IOException
{
byte[] buf = new byte[64]; // line length
int cnt = 0, c;
while ((c = read()) != -1)
{
if (c == '\n')
break;
buf[cnt++] = (byte) c;
}
return new String(buf, 0, cnt);
}
public int nextInt() throws IOException
{
int ret = 0;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do
{
ret = ret * 10 + c - '0';
} while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public long nextLong() throws IOException
{
long ret = 0;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
}
while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public double nextDouble() throws IOException
{
double ret = 0, div = 1;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
}
while ((c = read()) >= '0' && c <= '9');
if (c == '.')
{
while ((c = read()) >= '0' && c <= '9')
{
ret += (c - '0') / (div *= 10);
}
}
if (neg)
return -ret;
return ret;
}
private void fillBuffer() throws IOException
{
bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
if (bytesRead == -1)
buffer[0] = -1;
}
private byte read() throws IOException
{
if (bufferPointer == bytesRead)
fillBuffer();
return buffer[bufferPointer++];
}
private void close() throws IOException
{
if (din == null)
return;
din.close();
}
}
static class Hero{
int pow, end;
Hero(int a, int b){
pow=a;
end=b;
}
}
static class Tree{
Tree left, right;
int st, en, max;
Tree(int a, int b, int c){
st=a;
en=b;
max=c;
}
}
private static void upd(Tree tr, int pos, int val){
tr.max=Math.max(tr.max, val);
if(tr.st==tr.en){
return;
}
int mid=(tr.st+tr.en)/2;
if(pos<=mid){
if(tr.left==null){
tr.left=new Tree(tr.st, mid, 0);
}
upd(tr.left, pos, val);
}
else{
if(tr.right==null){
tr.right=new Tree(mid+1, tr.en, 0);
}
upd(tr.right, pos, val);
}
}
private static int query(Tree tr, int lo, int hi){
if(tr==null){
return 0;
}
if(tr.st==lo && tr.en==hi){
return tr.max;
}
int mid=(tr.st+tr.en)/2;
if(hi<=mid){
return query(tr.left, lo, hi);
}
if(lo>mid){
return query(tr.right, lo, hi);
}
return Math.max(query(tr.left, lo, mid), query(tr.right, mid+1, hi));
}
private static long gcd(long a, long b){
if(b==0){
return a;
}
return gcd(b, a%b);
}
static int find(int a, int[] par){
if(par[a]==0){
return a;
}
return par[a]=find(par[a], par);
}
static void union(int a, int b, int[] par, int[] rank){
if(rank[a]>=rank[b]){
par[b]=a;
rank[a]+=rank[b];
}
else{
par[a]=b;
rank[b]+=rank[a];
}
}
public static void main(String[] args) throws IOException
{
Reader z = new Reader();
int t = z.nextInt();
while(t-->0){
int n=z.nextInt(), m=z.nextInt(), a=z.nextInt(), b=z.nextInt(), i, j, k, p, q;
int[][] c = new int[m][2];
for(i=0;i<m;i++){
c[i][0]=z.nextInt();
c[i][1]=z.nextInt();
}
int[] par = new int[n+1];
int[] rank = new int[n+1];
for(i=1;i<=n;i++){
rank[i]=1;
}
for(i=0;i<m;i++){
if(c[i][0]==b || c[i][1]==b){
continue;
}
j=find(c[i][0], par);
k=find(c[i][1], par);
if(j!=k){
union(j, k, par, rank);
}
}
p=n-rank[find(a, par)]-1;
par = new int[n+1];
rank = new int[n+1];
for(i=1;i<=n;i++){
rank[i]=1;
}
for(i=0;i<m;i++){
if(c[i][0]==a || c[i][1]==a){
continue;
}
j=find(c[i][0], par);
k=find(c[i][1], par);
if(j!=k){
union(j, k, par, rank);
}
}
q=n-rank[find(b, par)]-1;
System.out.println(1L*p*q);
}
z.close();
}
} | 4JAVA
| {
"input": [
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 3\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 6 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 1\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 1\n4 5 2 4\n1 2\n2 1\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n5 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n2 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n4 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n4 6\n6 5\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 2\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 6\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 7\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 7\n5 2\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 2\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 6 5\n1 2\n4 3\n1 4\n2 5\n7 6\n6 7\n7 5\n4 5 1 4\n2 2\n2 2\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 7\n6 7\n7 5\n4 5 2 3\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n1 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 3\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 2\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n5 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 3\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n3 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 5\n1 3\n2 3\n1 4\n2 5\n5 6\n6 7\n7 3\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 4 5\n1 2\n4 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n2 2\n3 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 4\n4 5 2 4\n1 2\n2 3\n3 1\n4 2\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n1 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 6\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 1 4\n1 2\n2 3\n2 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 2\n",
"3\n7 7 6 1\n2 2\n2 3\n1 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n6 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 1 5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 1\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n2 4\n2 5\n5 6\n6 7\n7 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n2 4\n2 5\n5 6\n6 4\n7 5\n4 5 2 4\n1 2\n2 3\n3 2\n4 1\n4 2\n4 3 3 1\n1 2\n2 3\n4 1\n",
"3\n7 7 3 5\n1 2\n4 3\n1 4\n2 5\n5 6\n5 7\n7 5\n4 5 1 4\n1 2\n2 3\n3 4\n4 1\n4 4\n4 3 3 1\n1 2\n4 3\n4 1\n",
"3\n7 7 3 5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n1 5\n4 5 2 4\n1 2\n2 3\n3 4\n4 1\n4 2\n4 3 2 1\n1 2\n2 3\n4 1\n"
],
"output": [
"4\n0\n1\n",
"4\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"6\n0\n1\n",
"2\n0\n0\n",
"4\n0\n0\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"4\n0\n1\n",
"2\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"2\n0\n0\n",
"2\n0\n0\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n0\n1\n",
"2\n0\n0\n",
"2\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n1\n",
"0\n0\n0\n",
"0\n0\n0\n",
"2\n0\n1\n"
]
} | 2CODEFORCES
|
1320_F. Blocks and Sensors_343 | Polycarp plays a well-known computer game (we won't mention its name). Every object in this game consists of three-dimensional blocks — axis-aligned cubes of size 1 × 1 × 1. These blocks are unaffected by gravity, so they can float in the air without support. The blocks are placed in cells of size 1 × 1 × 1; each cell either contains exactly one block or is empty. Each cell is represented by its coordinates (x, y, z) (the cell with these coordinates is a cube with opposite corners in (x, y, z) and (x + 1, y + 1, z + 1)) and its contents a_{x, y, z}; if the cell is empty, then a_{x, y, z} = 0, otherwise a_{x, y, z} is equal to the type of the block placed in it (the types are integers from 1 to 2 ⋅ 10^5).
Polycarp has built a large structure consisting of blocks. This structure can be enclosed in an axis-aligned rectangular parallelepiped of size n × m × k, containing all cells (x, y, z) such that x ∈ [1, n], y ∈ [1, m], and z ∈ [1, k]. After that, Polycarp has installed 2nm + 2nk + 2mk sensors around this parallelepiped. A sensor is a special block that sends a ray in some direction and shows the type of the first block that was hit by this ray (except for other sensors). The sensors installed by Polycarp are adjacent to the borders of the parallelepiped, and the rays sent by them are parallel to one of the coordinate axes and directed inside the parallelepiped. More formally, the sensors can be divided into 6 types:
* there are mk sensors of the first type; each such sensor is installed in (0, y, z), where y ∈ [1, m] and z ∈ [1, k], and it sends a ray that is parallel to the Ox axis and has the same direction;
* there are mk sensors of the second type; each such sensor is installed in (n + 1, y, z), where y ∈ [1, m] and z ∈ [1, k], and it sends a ray that is parallel to the Ox axis and has the opposite direction;
* there are nk sensors of the third type; each such sensor is installed in (x, 0, z), where x ∈ [1, n] and z ∈ [1, k], and it sends a ray that is parallel to the Oy axis and has the same direction;
* there are nk sensors of the fourth type; each such sensor is installed in (x, m + 1, z), where x ∈ [1, n] and z ∈ [1, k], and it sends a ray that is parallel to the Oy axis and has the opposite direction;
* there are nm sensors of the fifth type; each such sensor is installed in (x, y, 0), where x ∈ [1, n] and y ∈ [1, m], and it sends a ray that is parallel to the Oz axis and has the same direction;
* finally, there are nm sensors of the sixth type; each such sensor is installed in (x, y, k + 1), where x ∈ [1, n] and y ∈ [1, m], and it sends a ray that is parallel to the Oz axis and has the opposite direction.
Polycarp has invited his friend Monocarp to play with him. Of course, as soon as Monocarp saw a large parallelepiped bounded by sensor blocks, he began to wonder what was inside of it. Polycarp didn't want to tell Monocarp the exact shape of the figure, so he provided Monocarp with the data from all sensors and told him to try guessing the contents of the parallelepiped by himself.
After some hours of thinking, Monocarp has no clue about what's inside the sensor-bounded space. But he does not want to give up, so he decided to ask for help. Can you write a program that will analyze the sensor data and construct any figure that is consistent with it?
Input
The first line contains three integers n, m and k (1 ≤ n, m, k ≤ 2 ⋅ 10^5, nmk ≤ 2 ⋅ 10^5) — the dimensions of the parallelepiped.
Then the sensor data follows. For each sensor, its data is either 0, if the ray emitted from it reaches the opposite sensor (there are no blocks in between), or an integer from 1 to 2 ⋅ 10^5 denoting the type of the first block hit by the ray. The data is divided into 6 sections (one for each type of sensors), each consecutive pair of sections is separated by a blank line, and the first section is separated by a blank line from the first line of the input.
The first section consists of m lines containing k integers each. The j-th integer in the i-th line is the data from the sensor installed in (0, i, j).
The second section consists of m lines containing k integers each. The j-th integer in the i-th line is the data from the sensor installed in (n + 1, i, j).
The third section consists of n lines containing k integers each. The j-th integer in the i-th line is the data from the sensor installed in (i, 0, j).
The fourth section consists of n lines containing k integers each. The j-th integer in the i-th line is the data from the sensor installed in (i, m + 1, j).
The fifth section consists of n lines containing m integers each. The j-th integer in the i-th line is the data from the sensor installed in (i, j, 0).
Finally, the sixth section consists of n lines containing m integers each. The j-th integer in the i-th line is the data from the sensor installed in (i, j, k + 1).
Output
If the information from the input is inconsistent, print one integer -1.
Otherwise, print the figure inside the parallelepiped as follows. The output should consist of nmk integers: a_{1, 1, 1}, a_{1, 1, 2}, ..., a_{1, 1, k}, a_{1, 2, 1}, ..., a_{1, 2, k}, ..., a_{1, m, k}, a_{2, 1, 1}, ..., a_{n, m, k}, where a_{i, j, k} is the type of the block in (i, j, k), or 0 if there is no block there. If there are multiple figures consistent with sensor data, describe any of them.
For your convenience, the sample output is formatted as follows: there are n separate sections for blocks having x = 1, x = 2, ..., x = n; each section consists of m lines containing k integers each. Note that this type of output is acceptable, but you may print the integers with any other formatting instead (even all integers on the same line), only their order matters.
Examples
Input
4 3 2
1 4
3 2
6 5
1 4
3 2
6 7
1 4
1 4
0 0
0 7
6 5
6 5
0 0
0 7
1 3 6
1 3 6
0 0 0
0 0 7
4 3 5
4 2 5
0 0 0
0 0 7
Output
1 4
3 0
6 5
1 4
3 2
6 5
0 0
0 0
0 0
0 0
0 0
0 7
Input
1 1 1
0
0
0
0
0
0
Output
0
Input
1 1 1
0
0
1337
0
0
0
Output
-1
Input
1 1 1
1337
1337
1337
1337
1337
1337
Output
1337 | #include <bits/stdc++.h>
using namespace std;
template <class T>
istream& operator>>(istream& is, vector<T>& v) {
for (T& x : v) is >> x;
return is;
}
template <class T>
ostream& operator<<(ostream& os, const vector<T>& v) {
if (!v.empty()) {
os << v.front();
for (int x = 1; x < v.size(); ++x) os << ' ' << v[x];
}
return os;
}
void gg() {
cout << "-1\n";
exit(0);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m, k;
cin >> n >> m >> k;
vector<vector<vector<int>>> ans(n,
vector<vector<int>>(m, vector<int>(k, -1)));
vector<vector<int>> xp(m, vector<int>(k)), xn(m, vector<int>(k)),
yp(n, vector<int>(k)), yn(n, vector<int>(k)), zp(n, vector<int>(m)),
zn(n, vector<int>(m)), pxp(m, vector<int>(k)),
pxn(m, vector<int>(k, n - 1)), pyp(n, vector<int>(k)),
pyn(n, vector<int>(k, m - 1)), pzp(n, vector<int>(m)),
pzn(n, vector<int>(m, k - 1));
cin >> xp >> xn >> yp >> yn >> zp >> zn;
queue<tuple<int, int, int>> q;
for (int x = 0; x < n; ++x)
for (int y = 0; y < m; ++y)
for (int z = 0; z < k; ++z)
if (!(xp[y][z] && xn[y][z] && yp[x][z] && yn[x][z] && zp[x][y] &&
zn[x][y]))
ans[x][y][z] = 0;
function<void(int, int)> exx = [&](int y, int z) {
while (pxp[y][z] < n && !ans[pxp[y][z]][y][z]) ++pxp[y][z];
while (pxn[y][z] >= 0 && !ans[pxn[y][z]][y][z]) --pxn[y][z];
if (pxp[y][z] >= n || pxn[y][z] < 0) gg();
q.emplace(pxp[y][z], y, z);
q.emplace(pxn[y][z], y, z);
};
function<void(int, int)> exy = [&](int x, int z) {
while (pyp[x][z] < m && !ans[x][pyp[x][z]][z]) ++pyp[x][z];
while (pyn[x][z] >= 0 && !ans[x][pyn[x][z]][z]) --pyn[x][z];
if (pyp[x][z] >= m || pyn[x][z] < 0) gg();
q.emplace(x, pyp[x][z], z);
q.emplace(x, pyn[x][z], z);
};
function<void(int, int)> exz = [&](int x, int y) {
while (pzp[x][y] < k && !ans[x][y][pzp[x][y]]) ++pzp[x][y];
while (pzn[x][y] >= 0 && !ans[x][y][pzn[x][y]]) --pzn[x][y];
if (pzp[x][y] >= k || pzn[x][y] < 0) gg();
q.emplace(x, y, pzp[x][y]);
q.emplace(x, y, pzn[x][y]);
};
for (int y = 0; y < m; ++y)
for (int z = 0; z < k; ++z) {
if (bool(xp[y][z]) != bool(xn[y][z])) gg();
if (!xp[y][z]) continue;
exx(y, z);
}
for (int x = 0; x < n; ++x)
for (int z = 0; z < k; ++z) {
if (bool(yp[x][z]) != bool(yn[x][z])) gg();
if (!yp[x][z]) continue;
exy(x, z);
}
for (int x = 0; x < n; ++x)
for (int y = 0; y < m; ++y) {
if (bool(zp[x][y]) != bool(zn[x][y])) gg();
if (!zp[x][y]) continue;
exz(x, y);
}
while (!q.empty()) {
int x, y, z;
tie(x, y, z) = q.front();
q.pop();
if (ans[x][y][z] == 0) continue;
vector<int> col;
if (pxp[y][z] == x) col.push_back(xp[y][z]);
if (pxn[y][z] == x) col.push_back(xn[y][z]);
if (pyp[x][z] == y) col.push_back(yp[x][z]);
if (pyn[x][z] == y) col.push_back(yn[x][z]);
if (pzp[x][y] == z) col.push_back(zp[x][y]);
if (pzn[x][y] == z) col.push_back(zn[x][y]);
if (col.size() == 0) continue;
col.erase(unique(col.begin(), col.end()), col.end());
if (col.size() == 1) {
ans[x][y][z] = col.back();
continue;
}
ans[x][y][z] = 0;
exx(y, z);
exy(x, z);
exz(x, y);
}
for (int x = 0; x < n; ++x) {
for (int y = 0; y < m; ++y) {
for (int z = 0; z < k; ++z)
if (ans[x][y][z] == -1) ans[x][y][z] = 0;
cout << ans[x][y] << '\n';
}
cout << '\n';
}
return 0;
}
| 2C++
| {
"input": [
"1 1 1\n\n0\n\n0\n\n1337\n\n0\n\n0\n\n0\n",
"1 1 1\n\n1337\n\n1337\n\n1337\n\n1337\n\n1337\n\n1337\n",
"1 1 1\n\n0\n\n0\n\n0\n\n0\n\n0\n\n0\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 7\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 3 6\n0 0 0\n0 0 7\n\n4 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"1 1 1\n\n0\n\n0\n\n2344\n\n0\n\n0\n\n0\n",
"1 1 1\n\n0\n\n0\n\n0\n\n0\n\n0\n\n1\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 7\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 0\n0 0 7\n\n4 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"1 1 1\n\n0\n\n0\n\n0\n\n0\n\n0\n\n2\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 0\n0 0 7\n\n4 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"1 1 1\n\n0\n\n-1\n\n0\n\n0\n\n0\n\n2\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 0\n0 0 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"1 1 1\n\n0\n\n-1\n\n-1\n\n0\n\n0\n\n2\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"1 1 1\n\n0\n\n-1\n\n-2\n\n0\n\n0\n\n2\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 2\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"1 1 1\n\n0\n\n-1\n\n-2\n\n0\n\n-1\n\n2\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 2\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 2\n6 5\n\n1 2\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 2\n6 5\n\n1 2\n3 2\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 2\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 1 7\n",
"4 3 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n0 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n0 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n-1 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 4\n5 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 7\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 2\n10 1\n\n1 7\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 2\n10 1\n\n1 7\n1 7\n0 0\n0 14\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 2\n10 1\n\n1 7\n1 10\n0 0\n0 14\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n1 7\n1 10\n0 0\n0 14\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n1 7\n1 10\n0 0\n0 14\n\n6 5\n6 5\n1 -1\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n1 7\n1 10\n0 0\n0 14\n\n6 5\n6 5\n1 -1\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n6 5\n1 -1\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n7 5\n1 -1\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n7 5\n1 -1\n-1 7\n\n1 3 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n7 5\n1 -1\n-1 7\n\n1 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n7 5\n1 -1\n-1 7\n\n1 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n7 5\n1 -1\n-1 7\n\n2 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 9\n\n6 5\n7 5\n1 -1\n-1 7\n\n2 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 -1\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 9\n\n6 5\n7 5\n1 -1\n-1 7\n\n2 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 -1\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 9\n\n6 5\n13 5\n1 -1\n-1 7\n\n2 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 -1\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 9\n\n6 5\n13 5\n1 -1\n-1 7\n\n2 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -2\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 -1\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 9\n\n6 5\n13 5\n1 -1\n-1 7\n\n2 2 0\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -2\n-1 1 7\n",
"4 3 1\n\n0 5\n4 4\n12 -1\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 9\n\n6 5\n13 5\n1 -1\n-1 7\n\n2 2 0\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -2\n-1 1 7\n",
"1 1 1\n\n1337\n\n1337\n\n1337\n\n2233\n\n1337\n\n1337\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 7\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 3 4\n0 0 0\n0 0 7\n\n4 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 7\n\n1 4\n1 5\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 0\n0 0 7\n\n4 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"1 1 1\n\n1\n\n0\n\n0\n\n0\n\n0\n\n2\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 0\n0 0 7\n\n4 3 5\n4 2 5\n0 0 0\n0 0 12\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 -1\n0 0 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 4\n3 2\n6 8\n\n1 8\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"1 1 1\n\n0\n\n-2\n\n-2\n\n0\n\n0\n\n2\n",
"4 3 2\n\n1 4\n3 1\n6 5\n\n1 2\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n1 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"1 1 1\n\n0\n\n-1\n\n0\n\n0\n\n-1\n\n2\n",
"4 3 2\n\n1 4\n3 2\n6 5\n\n1 2\n3 2\n6 8\n\n1 4\n1 4\n0 -1\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 2\n6 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 2\n6 5\n\n1 2\n3 2\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 0 7\n",
"4 3 2\n\n0 2\n3 2\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n0 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 -1 0\n0 0 7\n",
"4 1 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 0 7\n",
"4 3 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 -1\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n0 1 7\n",
"4 3 2\n\n1 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 4\n0 0\n0 7\n\n6 5\n6 5\n0 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 2\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 0\n1 7\n0 0\n0 7\n\n6 5\n6 5\n0 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n6 5\n\n2 2\n3 1\n10 8\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n0 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 8\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 4\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 1 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n6 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n-1 0 0\n0 1 7\n\n6 3 5\n4 0 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n0 4\n3 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 0 7\n\n6 3 5\n4 2 5\n0 0 0\n-1 1 7\n",
"4 3 1\n\n-1 4\n3 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 4\n5 4\n12 5\n\n1 2\n3 0\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 4\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n4 2 5\n0 0 -1\n-1 1 4\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 1\n10 1\n\n1 5\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n2 2\n3 1\n10 1\n\n1 7\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 2\n10 1\n\n1 7\n1 7\n0 0\n0 7\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 1\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 2\n10 1\n\n1 7\n1 7\n0 0\n0 14\n\n6 5\n6 5\n1 0\n-2 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 5\n\n1 2\n3 2\n10 1\n\n1 5\n1 10\n0 0\n0 14\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n1 7\n1 10\n0 0\n0 14\n\n6 5\n6 5\n1 0\n-1 7\n\n1 3 6\n2 6 6\n0 0 -1\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n1 7\n1 10\n0 0\n0 14\n\n6 5\n6 5\n1 -1\n-1 13\n\n1 3 6\n2 6 6\n0 0 0\n0 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n1 7\n1 10\n0 0\n0 14\n\n6 5\n6 5\n1 -1\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n-1 1 7\n\n6 4 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n0 7\n1 10\n0 0\n-1 14\n\n6 5\n6 5\n1 -1\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n0 0\n\n1 2\n3 2\n10 1\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n7 5\n1 -1\n-1 7\n\n1 3 6\n2 6 6\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n7 5\n1 -1\n-1 7\n\n1 3 6\n2 6 4\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 1\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n7 5\n1 -1\n-1 7\n\n1 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-2 1 7\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 14\n\n6 5\n7 5\n1 -1\n-1 7\n\n2 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 0\n",
"4 3 1\n\n0 5\n5 4\n12 0\n\n1 2\n3 2\n10 0\n\n0 7\n1 10\n0 0\n0 9\n\n6 3\n7 5\n1 -1\n-1 7\n\n2 2 6\n2 6 8\n0 0 0\n-1 1 7\n\n6 3 5\n3 2 5\n0 0 -1\n-1 1 7\n"
],
"output": [
"-1\n",
"1337 ",
"0 ",
"1 4 3 0 6 5 1 4 3 2 6 5 0 0 0 0 0 0 0 0 0 0 0 7 ",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
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"-1\n",
"-1\n",
"-1\n",
"-1\n",
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"-1\n"
]
} | 2CODEFORCES
|
133_D. Piet_344 | Piet is one of the most known visual esoteric programming languages. The programs in Piet are constructed from colorful blocks of pixels and interpreted using pretty complicated rules. In this problem we will use a subset of Piet language with simplified rules.
The program will be a rectangular image consisting of colored and black pixels. The color of each pixel will be given by an integer number between 0 and 9, inclusive, with 0 denoting black. A block of pixels is defined as a rectangle of pixels of the same color (not black). It is guaranteed that all connected groups of colored pixels of the same color will form rectangular blocks. Groups of black pixels can form arbitrary shapes.
The program is interpreted using movement of instruction pointer (IP) which consists of three parts:
* current block pointer (BP); note that there is no concept of current pixel within the block;
* direction pointer (DP) which can point left, right, up or down;
* block chooser (CP) which can point to the left or to the right from the direction given by DP; in absolute values CP can differ from DP by 90 degrees counterclockwise or clockwise, respectively.
Initially BP points to the block which contains the top-left corner of the program, DP points to the right, and CP points to the left (see the orange square on the image below).
One step of program interpretation changes the state of IP in a following way. The interpreter finds the furthest edge of the current color block in the direction of the DP. From all pixels that form this edge, the interpreter selects the furthest one in the direction of CP. After this, BP attempts to move from this pixel into the next one in the direction of DP. If the next pixel belongs to a colored block, this block becomes the current one, and two other parts of IP stay the same. It the next pixel is black or outside of the program, BP stays the same but two other parts of IP change. If CP was pointing to the left, now it points to the right, and DP stays the same. If CP was pointing to the right, now it points to the left, and DP is rotated 90 degrees clockwise.
This way BP will never point to a black block (it is guaranteed that top-left pixel of the program will not be black).
You are given a Piet program. You have to figure out which block of the program will be current after n steps.
Input
The first line of the input contains two integer numbers m (1 ≤ m ≤ 50) and n (1 ≤ n ≤ 5·107). Next m lines contain the rows of the program. All the lines have the same length between 1 and 50 pixels, and consist of characters 0-9. The first character of the first line will not be equal to 0.
Output
Output the color of the block which will be current after n steps of program interpretation.
Examples
Input
2 10
12
43
Output
1
Input
3 12
1423
6624
6625
Output
6
Input
5 9
10345
23456
34567
45678
56789
Output
5
Note
In the first example IP changes in the following way. After step 1 block 2 becomes current one and stays it after two more steps. After step 4 BP moves to block 3, after step 7 — to block 4, and finally after step 10 BP returns to block 1.
<image>
The sequence of states of IP is shown on the image: the arrows are traversed clockwise, the main arrow shows direction of DP, the side one — the direction of CP. | class Piet:
inc = [{'x':0,'y':-1},{'x':1,'y':0},{'x':0,'y':1},{'x':-1,'y':0}]
def __init__(self):
self.BP = {'x':0,'y':0}
self.DP = 1
self.CP = 0
self.getdata()
self.go()
def getdata(self):
in_line = raw_input().split()
self.m = int(in_line[0])
self.n = int(in_line[1])
self.pixels = []
for i in range(self.m):
self.pixels.append(raw_input())
def is_out_limit(self,x,y):
if x >= len(self.pixels[0]) or y >= self.m or x<0 or y<0:
return True
else:
return False
def go(self):
ans = []
info = []
for t in xrange(self.n):
while True:
if self.is_out_limit(self.BP['x']+Piet.inc[self.DP]['x'],self.BP['y']+Piet.inc[self.DP]['y']):
break
curr_color = self.pixels[self.BP['y']][self.BP['x']]
new_color = self.pixels[self.BP['y']+Piet.inc[self.DP]['y']][self.BP['x']+Piet.inc[self.DP]['x']]
if curr_color == new_color:
self.BP['x'] += Piet.inc[self.DP]['x']
self.BP['y'] += Piet.inc[self.DP]['y']
else:
break
while True:
if self.is_out_limit(self.BP['x']+Piet.inc[self.CP]['x'],self.BP['y']+Piet.inc[self.CP]['y']):
break
curr_color = self.pixels[self.BP['y']][self.BP['x']]
new_color = self.pixels[self.BP['y']+Piet.inc[self.CP]['y']][self.BP['x']+Piet.inc[self.CP]['x']]
if curr_color == new_color:
self.BP['x'] += Piet.inc[self.CP]['x']
self.BP['y'] += Piet.inc[self.CP]['y']
else:
break
if self.is_out_limit(self.BP['x']+Piet.inc[self.DP]['x'],self.BP['y']+Piet.inc[self.DP]['y']) or self.pixels[self.BP['y']+Piet.inc[self.DP]['y']][self.BP['x']+Piet.inc[self.DP]['x']] == '0':
if self.DP == (self.CP + 1)%4:
self.CP = (self.CP + 2)%4
else:
self.DP = (self.DP + 1)%4
self.CP = (self.DP - 1)%4
else:
self.BP['x'] += Piet.inc[self.DP]['x']
self.BP['y'] += Piet.inc[self.DP]['y']
#print(self.BP['x'],self.BP['y'],self.DP,self.CP)
if [self.BP['x'],self.BP['y'],self.DP,self.CP] in info:
dot = info.index( [self.BP['x'],self.BP['y'],self.DP,self.CP] )
print ans[dot-1+(self.n-dot)%(len(ans)-dot)]
break
else:
ans.append(self.pixels[self.BP['y']][self.BP['x']])
info.append( [self.BP['x'],self.BP['y'],self.DP,self.CP] )
else:
print ans[-1]
def main():
p = Piet()
if __name__ == '__main__':
main()
| 1Python2
| {
"input": [
"5 9\n10345\n23456\n34567\n45678\n56789\n",
"2 10\n12\n43\n",
"3 12\n1423\n6624\n6625\n",
"49 749442\n8888888\n8888888\n8888888\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5111111\n5111111\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n",
"16 50000000\n33333885555555555199311111111\n33333885555555555199377777774\n33333965555555555166377777774\n99111112222222222166377777774\n55555555555555543423877777774\n55555555555555543423977777774\n55555555555555577777077777774\n55555555555555577777077777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n99999999999999999999977777774\n22222222222222222222277777774\n22222222222222222222277777774\n22222222222222222222277777774\n",
"15 357307\n666662222299999333337777700000\n666662222299999333337777700000\n666662222299999333337777700000\n666662222299999333337777700000\n666662222299999333337777700000\n222221111100000111115555566666\n222221111100000111115555566666\n222221111100000111115555566666\n222221111100000111115555566666\n222221111100000111115555566666\n000001111188888444441111144444\n000001111188888444441111144444\n000001111188888444441111144444\n000001111188888444441111144444\n000001111188888444441111144444\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"4 9995\n11122\n06330\n04470\n55800\n",
"14 50000000\n5998837733\n5998837733\n7998837733\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"15 50000000\n55958\n55158\n55158\n55158\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"12 534024\n66666999991175\n66666999991175\n66666999991175\n66666999993372\n66666999993316\n66666999993394\n66666999993392\n66666999993305\n66666999993305\n66666999993309\n66666999993303\n66666999993305\n",
"5 1000000\n11100\n00200\n03330\n03330\n00000\n",
"1 85699\n78924219635752981967414898939315271493564548581817\n",
"1 10\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n9\n7\n8\n6\n3\n2\n5\n6\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n5\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"30 279591\n811113337\n811119997\n811119997\n411119997\n411119997\n411119997\n411119997\n411119990\n411110777\n011119777\n011119777\n011119777\n888889777\n888889116\n888889117\n888881887\n888881887\n888881887\n888881887\n888889997\n888889997\n888889997\n055559997\n855559997\n811119997\n811119997\n811119997\n811119997\n588889997\n588889997\n",
"23 742870\n377777338888888888\n111111338888888888\n111111338888888888\n111111338888888888\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n",
"28 392042\n555555555\n444044444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n522744444\n522744444\n509644444\n888882290\n888882290\n888882290\n888882290\n888882233\n888882233\n888882233\n888882233\n888882233\n888882233\n555555555\n555555555\n555555555\n111111111\n111111111\n",
"3 951706\n777111111111999444777555222555222666666999\n777111111111999444777555222555222666666999\n777111111111999444777555222555222666666999\n",
"8 215240\n888888888888884433333\n888888888888884455555\n222222222222221166077\n222222222222220222222\n222222222222220222222\n222222222222220222222\n488888888888888888888\n999999949211933222779\n",
"9 1000000\n123456789\n032567891\n345678902\n456789123\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"3 6\n122\n322\n000\n",
"15 6394\n55958\n55158\n55158\n55158\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"11 50000000\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n888883\n888883\n",
"11 988024\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n888883\n888883\n",
"3 7\n922\n322\n022\n",
"14 309330\n5998837733\n5998837733\n7998837733\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"30 50000000\n811113337\n811119997\n811119997\n411119997\n411119997\n411119997\n411119997\n411119990\n411110777\n011119777\n011119777\n011119777\n888889777\n888889116\n888889117\n888881887\n888881887\n888881887\n888881887\n888889997\n888889997\n888889997\n055559997\n855559997\n811119997\n811119997\n811119997\n811119997\n588889997\n588889997\n",
"28 50000000\n555555555\n444044444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n522744444\n522744444\n509644444\n888882290\n888882290\n888882290\n888882290\n888882233\n888882233\n888882233\n888882233\n888882233\n888882233\n555555555\n555555555\n555555555\n111111111\n111111111\n",
"3 22\n1111\n0273\n4443\n",
"3 9\n888\n456\n226\n",
"12 899884\n70499\n70499\n75499\n75499\n75499\n75499\n70499\n70499\n00499\n03499\n00499\n00499\n",
"3 7\n901\n922\n934\n",
"3 12\n123\n045\n666\n",
"3 9\n777\n120\n345\n",
"8 194869\n6644\n6644\n0077\n0077\n2255\n2255\n6600\n6600\n",
"31 70745\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"16 714827\n33333885555555555199311111111\n33333885555555555199377777774\n33333965555555555166377777774\n99111112222222222166377777774\n55555555555555543423877777774\n55555555555555543423977777774\n55555555555555577777077777774\n55555555555555577777077777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n99999999999999999999977777774\n22222222222222222222277777774\n22222222222222222222277777774\n22222222222222222222277777774\n",
"4 1000000\n444444444\n444444444\n444444444\n444444444\n",
"49 50000000\n8888888\n8888888\n8888888\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5111111\n5111111\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"14 50000000\n5998837733\n5998837733\n3233038525\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"12 264463\n66666999991175\n66666999991175\n66666999991175\n66666999993372\n66666999993316\n66666999993394\n66666999993392\n66666999993305\n66666999993305\n66666999993309\n66666999993303\n66666999993305\n",
"1 6\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n9\n7\n8\n6\n3\n2\n5\n6\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n9\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"3 6\n122\n322\n010\n",
"3 7\n901\n922\n343\n",
"3 12\n1784\n6624\n6625\n",
"1 85699\n23065239971889900420131100926736773200093061236555\n",
"23 742870\n377777338888888888\n111111338888888888\n111111338888888888\n111111338888888888\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n136821355489490868\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n",
"28 392042\n555555555\n444044444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n522744444\n522744444\n509644444\n888882290\n888882290\n1661337632\n888882290\n888882233\n888882233\n888882233\n888882233\n888882233\n888882233\n555555555\n555555555\n555555555\n111111111\n111111111\n",
"9 1000000\n123456789\n032567891\n510594606\n456789123\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"15 6394\n55958\n55158\n55158\n71529\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"11 631781\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n888883\n888883\n",
"3 7\n963\n322\n022\n",
"3 9\n888\n456\n153\n",
"3 9\n602\n120\n345\n",
"31 35662\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"4 1000000\n444444444\n503842998\n444444444\n444444444\n",
"2 7\n12\n43\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n90016\n90016\n",
"12 264463\n66666999991175\n66666999991175\n66666999991175\n66666999993372\n66666999993316\n66666999993394\n66666999993392\n77766787436601\n66666999993305\n66666999993309\n66666999993303\n66666999993305\n",
"1 146180\n23065239971889900420131100926736773200093061236555\n",
"1 7\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n9\n7\n8\n6\n3\n2\n5\n2\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n9\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"9 1000000\n123456789\n032567891\n270567276\n456789123\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"15 6394\n55958\n55158\n55158\n71529\n88639\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"11 631781\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n970711\n888883\n",
"3 8\n963\n322\n022\n",
"31 35662\n90016\n60016\n00016\n30016\n35637\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"3 12\n1784\n6293\n6625\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n90016\n69906\n",
"1 185589\n23065239971889900420131100926736773200093061236555\n",
"1 11\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n6\n7\n8\n6\n3\n2\n5\n2\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n9\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"9 1000000\n123456789\n032567891\n270567276\n446121141\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"3 8\n175\n322\n022\n",
"3 12\n1784\n6293\n3065\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n108277\n69906\n",
"3 13\n175\n322\n022\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n139920\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n108277\n69906\n",
"3 4\n175\n322\n022\n",
"49 749442\n8888888\n8888888\n8888888\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5318169\n5777777\n5777777\n5111111\n5111111\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n83976\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"4 9995\n11122\n06330\n04470\n56617\n",
"14 50000000\n1236077004\n5998837733\n7998837733\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"15 50000000\n55958\n55158\n55158\n55158\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n18647\n22728\n"
],
"output": [
"5",
"1",
"6",
"6",
"1",
"8",
"9",
"3",
"7",
"5",
"6",
"3",
"7",
"8",
"4",
"8",
"9",
"5",
"9",
"4",
"3",
"3",
"2",
"1",
"5",
"9",
"5",
"9",
"9",
"7",
"4",
"7",
"3",
"5",
"1",
"2",
"6",
"1",
"4",
"8",
"9\n",
"5\n",
"2\n",
"8\n",
"7\n",
"1\n",
"4\n",
"6\n",
"2\n",
"9\n",
"5\n",
"5\n",
"2\n",
"1\n",
"2\n",
"1\n",
"1\n",
"9\n",
"4\n",
"4\n",
"9\n",
"5\n",
"2\n",
"8\n",
"7\n",
"5\n",
"2\n",
"9\n",
"2\n",
"9\n",
"6\n",
"9\n",
"2\n",
"8\n",
"7\n",
"5\n",
"2\n",
"6\n",
"9\n",
"1\n",
"9\n",
"5\n",
"5\n",
"9\n",
"5\n",
"1\n",
"5\n"
]
} | 2CODEFORCES
|
133_D. Piet_345 | Piet is one of the most known visual esoteric programming languages. The programs in Piet are constructed from colorful blocks of pixels and interpreted using pretty complicated rules. In this problem we will use a subset of Piet language with simplified rules.
The program will be a rectangular image consisting of colored and black pixels. The color of each pixel will be given by an integer number between 0 and 9, inclusive, with 0 denoting black. A block of pixels is defined as a rectangle of pixels of the same color (not black). It is guaranteed that all connected groups of colored pixels of the same color will form rectangular blocks. Groups of black pixels can form arbitrary shapes.
The program is interpreted using movement of instruction pointer (IP) which consists of three parts:
* current block pointer (BP); note that there is no concept of current pixel within the block;
* direction pointer (DP) which can point left, right, up or down;
* block chooser (CP) which can point to the left or to the right from the direction given by DP; in absolute values CP can differ from DP by 90 degrees counterclockwise or clockwise, respectively.
Initially BP points to the block which contains the top-left corner of the program, DP points to the right, and CP points to the left (see the orange square on the image below).
One step of program interpretation changes the state of IP in a following way. The interpreter finds the furthest edge of the current color block in the direction of the DP. From all pixels that form this edge, the interpreter selects the furthest one in the direction of CP. After this, BP attempts to move from this pixel into the next one in the direction of DP. If the next pixel belongs to a colored block, this block becomes the current one, and two other parts of IP stay the same. It the next pixel is black or outside of the program, BP stays the same but two other parts of IP change. If CP was pointing to the left, now it points to the right, and DP stays the same. If CP was pointing to the right, now it points to the left, and DP is rotated 90 degrees clockwise.
This way BP will never point to a black block (it is guaranteed that top-left pixel of the program will not be black).
You are given a Piet program. You have to figure out which block of the program will be current after n steps.
Input
The first line of the input contains two integer numbers m (1 ≤ m ≤ 50) and n (1 ≤ n ≤ 5·107). Next m lines contain the rows of the program. All the lines have the same length between 1 and 50 pixels, and consist of characters 0-9. The first character of the first line will not be equal to 0.
Output
Output the color of the block which will be current after n steps of program interpretation.
Examples
Input
2 10
12
43
Output
1
Input
3 12
1423
6624
6625
Output
6
Input
5 9
10345
23456
34567
45678
56789
Output
5
Note
In the first example IP changes in the following way. After step 1 block 2 becomes current one and stays it after two more steps. After step 4 BP moves to block 3, after step 7 — to block 4, and finally after step 10 BP returns to block 1.
<image>
The sequence of states of IP is shown on the image: the arrows are traversed clockwise, the main arrow shows direction of DP, the side one — the direction of CP. | #include <bits/stdc++.h>
using namespace std;
static const int INF = 500000000;
template <class T>
void debug(T a, T b) {
for (; a != b; ++a) cerr << *a << ' ';
cerr << endl;
}
int w, h, n;
char buf[55][55];
pair<int, int> moveTo[55][55][4][2];
int state[55][55][4][2];
int dx[] = {1, 0, -1, 0}, dy[] = {0, 1, 0, -1};
int main() {
cin >> h >> n;
for (int i = 0; i < h; ++i) cin >> buf[i];
w = strlen(buf[0]);
for (int i = 0; i < h; ++i)
for (int j = 0; j < w; ++j)
for (int k = 0; k < 4; ++k)
for (int l = 0; l < 2; ++l) {
int cx = j, cy = i;
while (1) {
int px = cx + dx[k], py = cy + dy[k];
if (px < 0 || py < 0 || px >= w || py >= h ||
buf[py][px] != buf[cy][cx])
break;
cx = px;
cy = py;
}
int add;
if (l == 0)
add = 3;
else
add = 1;
int k2 = (k + add) % 4;
int px, py;
while (1) {
px = cx + dx[k2], py = cy + dy[k2];
if (px < 0 || py < 0 || px >= w || py >= h ||
buf[py][px] != buf[cy][cx])
break;
cx = px;
cy = py;
}
px = cx + dx[k];
py = cy + dy[k];
if (px < 0 || py < 0 || px >= w || py >= h || buf[py][px] == '0') {
state[i][j][k][l] = 1;
moveTo[i][j][k][l] = make_pair(cy, cx);
} else {
moveTo[i][j][k][l] = make_pair(py, px);
}
}
int cx = 0, cy = 0, dir = 0, hand = 0;
for (int hoge = 0; hoge < n; ++hoge) {
pair<int, int> nxt = moveTo[cy][cx][dir][hand];
int flag = state[cy][cx][dir][hand];
cy = nxt.first;
cx = nxt.second;
if (flag) {
if (hand == 0)
hand = 1;
else {
hand = 0;
dir = (dir + 1) % 4;
}
}
}
printf("%c\n", buf[cy][cx]);
return 0;
}
| 2C++
| {
"input": [
"5 9\n10345\n23456\n34567\n45678\n56789\n",
"2 10\n12\n43\n",
"3 12\n1423\n6624\n6625\n",
"49 749442\n8888888\n8888888\n8888888\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5111111\n5111111\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n",
"16 50000000\n33333885555555555199311111111\n33333885555555555199377777774\n33333965555555555166377777774\n99111112222222222166377777774\n55555555555555543423877777774\n55555555555555543423977777774\n55555555555555577777077777774\n55555555555555577777077777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n99999999999999999999977777774\n22222222222222222222277777774\n22222222222222222222277777774\n22222222222222222222277777774\n",
"15 357307\n666662222299999333337777700000\n666662222299999333337777700000\n666662222299999333337777700000\n666662222299999333337777700000\n666662222299999333337777700000\n222221111100000111115555566666\n222221111100000111115555566666\n222221111100000111115555566666\n222221111100000111115555566666\n222221111100000111115555566666\n000001111188888444441111144444\n000001111188888444441111144444\n000001111188888444441111144444\n000001111188888444441111144444\n000001111188888444441111144444\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"4 9995\n11122\n06330\n04470\n55800\n",
"14 50000000\n5998837733\n5998837733\n7998837733\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"15 50000000\n55958\n55158\n55158\n55158\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"12 534024\n66666999991175\n66666999991175\n66666999991175\n66666999993372\n66666999993316\n66666999993394\n66666999993392\n66666999993305\n66666999993305\n66666999993309\n66666999993303\n66666999993305\n",
"5 1000000\n11100\n00200\n03330\n03330\n00000\n",
"1 85699\n78924219635752981967414898939315271493564548581817\n",
"1 10\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n9\n7\n8\n6\n3\n2\n5\n6\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n5\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"30 279591\n811113337\n811119997\n811119997\n411119997\n411119997\n411119997\n411119997\n411119990\n411110777\n011119777\n011119777\n011119777\n888889777\n888889116\n888889117\n888881887\n888881887\n888881887\n888881887\n888889997\n888889997\n888889997\n055559997\n855559997\n811119997\n811119997\n811119997\n811119997\n588889997\n588889997\n",
"23 742870\n377777338888888888\n111111338888888888\n111111338888888888\n111111338888888888\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n",
"28 392042\n555555555\n444044444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n522744444\n522744444\n509644444\n888882290\n888882290\n888882290\n888882290\n888882233\n888882233\n888882233\n888882233\n888882233\n888882233\n555555555\n555555555\n555555555\n111111111\n111111111\n",
"3 951706\n777111111111999444777555222555222666666999\n777111111111999444777555222555222666666999\n777111111111999444777555222555222666666999\n",
"8 215240\n888888888888884433333\n888888888888884455555\n222222222222221166077\n222222222222220222222\n222222222222220222222\n222222222222220222222\n488888888888888888888\n999999949211933222779\n",
"9 1000000\n123456789\n032567891\n345678902\n456789123\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"3 6\n122\n322\n000\n",
"15 6394\n55958\n55158\n55158\n55158\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"11 50000000\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n888883\n888883\n",
"11 988024\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n888883\n888883\n",
"3 7\n922\n322\n022\n",
"14 309330\n5998837733\n5998837733\n7998837733\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"30 50000000\n811113337\n811119997\n811119997\n411119997\n411119997\n411119997\n411119997\n411119990\n411110777\n011119777\n011119777\n011119777\n888889777\n888889116\n888889117\n888881887\n888881887\n888881887\n888881887\n888889997\n888889997\n888889997\n055559997\n855559997\n811119997\n811119997\n811119997\n811119997\n588889997\n588889997\n",
"28 50000000\n555555555\n444044444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n522744444\n522744444\n509644444\n888882290\n888882290\n888882290\n888882290\n888882233\n888882233\n888882233\n888882233\n888882233\n888882233\n555555555\n555555555\n555555555\n111111111\n111111111\n",
"3 22\n1111\n0273\n4443\n",
"3 9\n888\n456\n226\n",
"12 899884\n70499\n70499\n75499\n75499\n75499\n75499\n70499\n70499\n00499\n03499\n00499\n00499\n",
"3 7\n901\n922\n934\n",
"3 12\n123\n045\n666\n",
"3 9\n777\n120\n345\n",
"8 194869\n6644\n6644\n0077\n0077\n2255\n2255\n6600\n6600\n",
"31 70745\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"16 714827\n33333885555555555199311111111\n33333885555555555199377777774\n33333965555555555166377777774\n99111112222222222166377777774\n55555555555555543423877777774\n55555555555555543423977777774\n55555555555555577777077777774\n55555555555555577777077777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n99999999999999999999977777774\n22222222222222222222277777774\n22222222222222222222277777774\n22222222222222222222277777774\n",
"4 1000000\n444444444\n444444444\n444444444\n444444444\n",
"49 50000000\n8888888\n8888888\n8888888\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5111111\n5111111\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"14 50000000\n5998837733\n5998837733\n3233038525\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"12 264463\n66666999991175\n66666999991175\n66666999991175\n66666999993372\n66666999993316\n66666999993394\n66666999993392\n66666999993305\n66666999993305\n66666999993309\n66666999993303\n66666999993305\n",
"1 6\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n9\n7\n8\n6\n3\n2\n5\n6\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n9\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"3 6\n122\n322\n010\n",
"3 7\n901\n922\n343\n",
"3 12\n1784\n6624\n6625\n",
"1 85699\n23065239971889900420131100926736773200093061236555\n",
"23 742870\n377777338888888888\n111111338888888888\n111111338888888888\n111111338888888888\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n136821355489490868\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n",
"28 392042\n555555555\n444044444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n522744444\n522744444\n509644444\n888882290\n888882290\n1661337632\n888882290\n888882233\n888882233\n888882233\n888882233\n888882233\n888882233\n555555555\n555555555\n555555555\n111111111\n111111111\n",
"9 1000000\n123456789\n032567891\n510594606\n456789123\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"15 6394\n55958\n55158\n55158\n71529\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"11 631781\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n888883\n888883\n",
"3 7\n963\n322\n022\n",
"3 9\n888\n456\n153\n",
"3 9\n602\n120\n345\n",
"31 35662\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"4 1000000\n444444444\n503842998\n444444444\n444444444\n",
"2 7\n12\n43\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n90016\n90016\n",
"12 264463\n66666999991175\n66666999991175\n66666999991175\n66666999993372\n66666999993316\n66666999993394\n66666999993392\n77766787436601\n66666999993305\n66666999993309\n66666999993303\n66666999993305\n",
"1 146180\n23065239971889900420131100926736773200093061236555\n",
"1 7\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n9\n7\n8\n6\n3\n2\n5\n2\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n9\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"9 1000000\n123456789\n032567891\n270567276\n456789123\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"15 6394\n55958\n55158\n55158\n71529\n88639\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"11 631781\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n970711\n888883\n",
"3 8\n963\n322\n022\n",
"31 35662\n90016\n60016\n00016\n30016\n35637\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"3 12\n1784\n6293\n6625\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n90016\n69906\n",
"1 185589\n23065239971889900420131100926736773200093061236555\n",
"1 11\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n6\n7\n8\n6\n3\n2\n5\n2\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n9\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"9 1000000\n123456789\n032567891\n270567276\n446121141\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"3 8\n175\n322\n022\n",
"3 12\n1784\n6293\n3065\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n108277\n69906\n",
"3 13\n175\n322\n022\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n139920\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n108277\n69906\n",
"3 4\n175\n322\n022\n",
"49 749442\n8888888\n8888888\n8888888\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5318169\n5777777\n5777777\n5111111\n5111111\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n83976\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"4 9995\n11122\n06330\n04470\n56617\n",
"14 50000000\n1236077004\n5998837733\n7998837733\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"15 50000000\n55958\n55158\n55158\n55158\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n18647\n22728\n"
],
"output": [
"5",
"1",
"6",
"6",
"1",
"8",
"9",
"3",
"7",
"5",
"6",
"3",
"7",
"8",
"4",
"8",
"9",
"5",
"9",
"4",
"3",
"3",
"2",
"1",
"5",
"9",
"5",
"9",
"9",
"7",
"4",
"7",
"3",
"5",
"1",
"2",
"6",
"1",
"4",
"8",
"9\n",
"5\n",
"2\n",
"8\n",
"7\n",
"1\n",
"4\n",
"6\n",
"2\n",
"9\n",
"5\n",
"5\n",
"2\n",
"1\n",
"2\n",
"1\n",
"1\n",
"9\n",
"4\n",
"4\n",
"9\n",
"5\n",
"2\n",
"8\n",
"7\n",
"5\n",
"2\n",
"9\n",
"2\n",
"9\n",
"6\n",
"9\n",
"2\n",
"8\n",
"7\n",
"5\n",
"2\n",
"6\n",
"9\n",
"1\n",
"9\n",
"5\n",
"5\n",
"9\n",
"5\n",
"1\n",
"5\n"
]
} | 2CODEFORCES
|
133_D. Piet_346 | Piet is one of the most known visual esoteric programming languages. The programs in Piet are constructed from colorful blocks of pixels and interpreted using pretty complicated rules. In this problem we will use a subset of Piet language with simplified rules.
The program will be a rectangular image consisting of colored and black pixels. The color of each pixel will be given by an integer number between 0 and 9, inclusive, with 0 denoting black. A block of pixels is defined as a rectangle of pixels of the same color (not black). It is guaranteed that all connected groups of colored pixels of the same color will form rectangular blocks. Groups of black pixels can form arbitrary shapes.
The program is interpreted using movement of instruction pointer (IP) which consists of three parts:
* current block pointer (BP); note that there is no concept of current pixel within the block;
* direction pointer (DP) which can point left, right, up or down;
* block chooser (CP) which can point to the left or to the right from the direction given by DP; in absolute values CP can differ from DP by 90 degrees counterclockwise or clockwise, respectively.
Initially BP points to the block which contains the top-left corner of the program, DP points to the right, and CP points to the left (see the orange square on the image below).
One step of program interpretation changes the state of IP in a following way. The interpreter finds the furthest edge of the current color block in the direction of the DP. From all pixels that form this edge, the interpreter selects the furthest one in the direction of CP. After this, BP attempts to move from this pixel into the next one in the direction of DP. If the next pixel belongs to a colored block, this block becomes the current one, and two other parts of IP stay the same. It the next pixel is black or outside of the program, BP stays the same but two other parts of IP change. If CP was pointing to the left, now it points to the right, and DP stays the same. If CP was pointing to the right, now it points to the left, and DP is rotated 90 degrees clockwise.
This way BP will never point to a black block (it is guaranteed that top-left pixel of the program will not be black).
You are given a Piet program. You have to figure out which block of the program will be current after n steps.
Input
The first line of the input contains two integer numbers m (1 ≤ m ≤ 50) and n (1 ≤ n ≤ 5·107). Next m lines contain the rows of the program. All the lines have the same length between 1 and 50 pixels, and consist of characters 0-9. The first character of the first line will not be equal to 0.
Output
Output the color of the block which will be current after n steps of program interpretation.
Examples
Input
2 10
12
43
Output
1
Input
3 12
1423
6624
6625
Output
6
Input
5 9
10345
23456
34567
45678
56789
Output
5
Note
In the first example IP changes in the following way. After step 1 block 2 becomes current one and stays it after two more steps. After step 4 BP moves to block 3, after step 7 — to block 4, and finally after step 10 BP returns to block 1.
<image>
The sequence of states of IP is shown on the image: the arrows are traversed clockwise, the main arrow shows direction of DP, the side one — the direction of CP. | import java.util.*;
public class ProblemC {
Scanner in = new Scanner(System.in);
void run() {
int[] dx = new int[]{1, 0, -1, 0};
int[] dy = new int[]{0, 1, 0, -1};
int h = in.nextInt();
int n = in.nextInt();
String[] map = new String[h + 2];
for (int i = 0; i < h; i++) {
map[i + 1] = '0' + in.next() + '0';
} // for
int w = map[1].length() - 2;
for (map[0] = ""; map[0].length() < w + 2; map[0] += "0");
map[h + 1] = map[0];
int[] move = new int[h * w * 8];
for (int i = 0; i < move.length; i++) {
move[i] = -1;
} // for
int curdir = 0;
int x = 0, y = 0;
int step = 0;
while (move[(y * w + x) * 8 + curdir] == -1) {
move[(y * w + x) * 8 + curdir] = step++;
char cur = map[y + 1].charAt(x + 1);
//System.out.println(cur + " " + step);
int xx = x, yy = y;
do {
xx += dx[curdir % 4];
yy += dy[curdir % 4];
} while(map[yy + 1].charAt(xx + 1) == cur);
xx -= dx[curdir % 4];
yy -= dy[curdir % 4];
int cdir = ((curdir % 4) + (curdir >= 4 ? 1 : 3)) % 4;
do {
xx += dx[cdir % 4];
yy += dy[cdir % 4];
} while(map[yy + 1].charAt(xx + 1) == cur);
xx -= dx[cdir % 4];
yy -= dy[cdir % 4];
xx += dx[curdir % 4];
yy += dy[curdir % 4];
if (map[yy + 1].charAt(xx + 1) == '0') {
xx -= dx[curdir % 4];
yy -= dy[curdir % 4];
if (curdir < 4) {
curdir += 4;
} else {
curdir = (curdir + 1) % 4;
} // else
} else {
x = xx;
y = yy;
} // else
} // while
int start = move[(y * w + x) * 8 + curdir];
int loop = step - move[(y * w + x) * 8 + curdir];
n = (n - start) % loop + start;
for (int i = 0; i < move.length; i++) {
if (move[i] == n) {
int p = i / 8;
System.out.println(map[p / w + 1].charAt(p % w + 1));
return;
} // if
} // for
} // run
public static void main(String... args) {
(new ProblemC()).run();
} // args
} // class ProblemC
| 4JAVA
| {
"input": [
"5 9\n10345\n23456\n34567\n45678\n56789\n",
"2 10\n12\n43\n",
"3 12\n1423\n6624\n6625\n",
"49 749442\n8888888\n8888888\n8888888\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5111111\n5111111\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n",
"16 50000000\n33333885555555555199311111111\n33333885555555555199377777774\n33333965555555555166377777774\n99111112222222222166377777774\n55555555555555543423877777774\n55555555555555543423977777774\n55555555555555577777077777774\n55555555555555577777077777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n99999999999999999999977777774\n22222222222222222222277777774\n22222222222222222222277777774\n22222222222222222222277777774\n",
"15 357307\n666662222299999333337777700000\n666662222299999333337777700000\n666662222299999333337777700000\n666662222299999333337777700000\n666662222299999333337777700000\n222221111100000111115555566666\n222221111100000111115555566666\n222221111100000111115555566666\n222221111100000111115555566666\n222221111100000111115555566666\n000001111188888444441111144444\n000001111188888444441111144444\n000001111188888444441111144444\n000001111188888444441111144444\n000001111188888444441111144444\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"4 9995\n11122\n06330\n04470\n55800\n",
"14 50000000\n5998837733\n5998837733\n7998837733\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"15 50000000\n55958\n55158\n55158\n55158\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"12 534024\n66666999991175\n66666999991175\n66666999991175\n66666999993372\n66666999993316\n66666999993394\n66666999993392\n66666999993305\n66666999993305\n66666999993309\n66666999993303\n66666999993305\n",
"5 1000000\n11100\n00200\n03330\n03330\n00000\n",
"1 85699\n78924219635752981967414898939315271493564548581817\n",
"1 10\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n9\n7\n8\n6\n3\n2\n5\n6\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n5\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"30 279591\n811113337\n811119997\n811119997\n411119997\n411119997\n411119997\n411119997\n411119990\n411110777\n011119777\n011119777\n011119777\n888889777\n888889116\n888889117\n888881887\n888881887\n888881887\n888881887\n888889997\n888889997\n888889997\n055559997\n855559997\n811119997\n811119997\n811119997\n811119997\n588889997\n588889997\n",
"23 742870\n377777338888888888\n111111338888888888\n111111338888888888\n111111338888888888\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n",
"28 392042\n555555555\n444044444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n522744444\n522744444\n509644444\n888882290\n888882290\n888882290\n888882290\n888882233\n888882233\n888882233\n888882233\n888882233\n888882233\n555555555\n555555555\n555555555\n111111111\n111111111\n",
"3 951706\n777111111111999444777555222555222666666999\n777111111111999444777555222555222666666999\n777111111111999444777555222555222666666999\n",
"8 215240\n888888888888884433333\n888888888888884455555\n222222222222221166077\n222222222222220222222\n222222222222220222222\n222222222222220222222\n488888888888888888888\n999999949211933222779\n",
"9 1000000\n123456789\n032567891\n345678902\n456789123\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"3 6\n122\n322\n000\n",
"15 6394\n55958\n55158\n55158\n55158\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"11 50000000\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n888883\n888883\n",
"11 988024\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n888883\n888883\n",
"3 7\n922\n322\n022\n",
"14 309330\n5998837733\n5998837733\n7998837733\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"30 50000000\n811113337\n811119997\n811119997\n411119997\n411119997\n411119997\n411119997\n411119990\n411110777\n011119777\n011119777\n011119777\n888889777\n888889116\n888889117\n888881887\n888881887\n888881887\n888881887\n888889997\n888889997\n888889997\n055559997\n855559997\n811119997\n811119997\n811119997\n811119997\n588889997\n588889997\n",
"28 50000000\n555555555\n444044444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n522744444\n522744444\n509644444\n888882290\n888882290\n888882290\n888882290\n888882233\n888882233\n888882233\n888882233\n888882233\n888882233\n555555555\n555555555\n555555555\n111111111\n111111111\n",
"3 22\n1111\n0273\n4443\n",
"3 9\n888\n456\n226\n",
"12 899884\n70499\n70499\n75499\n75499\n75499\n75499\n70499\n70499\n00499\n03499\n00499\n00499\n",
"3 7\n901\n922\n934\n",
"3 12\n123\n045\n666\n",
"3 9\n777\n120\n345\n",
"8 194869\n6644\n6644\n0077\n0077\n2255\n2255\n6600\n6600\n",
"31 70745\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"16 714827\n33333885555555555199311111111\n33333885555555555199377777774\n33333965555555555166377777774\n99111112222222222166377777774\n55555555555555543423877777774\n55555555555555543423977777774\n55555555555555577777077777774\n55555555555555577777077777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n55555555555555511111177777774\n99999999999999999999977777774\n22222222222222222222277777774\n22222222222222222222277777774\n22222222222222222222277777774\n",
"4 1000000\n444444444\n444444444\n444444444\n444444444\n",
"49 50000000\n8888888\n8888888\n8888888\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5111111\n5111111\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"14 50000000\n5998837733\n5998837733\n3233038525\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"12 264463\n66666999991175\n66666999991175\n66666999991175\n66666999993372\n66666999993316\n66666999993394\n66666999993392\n66666999993305\n66666999993305\n66666999993309\n66666999993303\n66666999993305\n",
"1 6\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n9\n7\n8\n6\n3\n2\n5\n6\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n9\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"3 6\n122\n322\n010\n",
"3 7\n901\n922\n343\n",
"3 12\n1784\n6624\n6625\n",
"1 85699\n23065239971889900420131100926736773200093061236555\n",
"23 742870\n377777338888888888\n111111338888888888\n111111338888888888\n111111338888888888\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n136821355489490868\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n111111335555555559\n",
"28 392042\n555555555\n444044444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n999944444\n522744444\n522744444\n509644444\n888882290\n888882290\n1661337632\n888882290\n888882233\n888882233\n888882233\n888882233\n888882233\n888882233\n555555555\n555555555\n555555555\n111111111\n111111111\n",
"9 1000000\n123456789\n032567891\n510594606\n456789123\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"15 6394\n55958\n55158\n55158\n71529\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"11 631781\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n888883\n888883\n",
"3 7\n963\n322\n022\n",
"3 9\n888\n456\n153\n",
"3 9\n602\n120\n345\n",
"31 35662\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"4 1000000\n444444444\n503842998\n444444444\n444444444\n",
"2 7\n12\n43\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n90016\n90016\n",
"12 264463\n66666999991175\n66666999991175\n66666999991175\n66666999993372\n66666999993316\n66666999993394\n66666999993392\n77766787436601\n66666999993305\n66666999993309\n66666999993303\n66666999993305\n",
"1 146180\n23065239971889900420131100926736773200093061236555\n",
"1 7\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n9\n7\n8\n6\n3\n2\n5\n2\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n9\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"9 1000000\n123456789\n032567891\n270567276\n456789123\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"15 6394\n55958\n55158\n55158\n71529\n88639\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n22728\n22728\n",
"11 631781\n511111\n455555\n088883\n222227\n222228\n222221\n222221\n888881\n888886\n970711\n888883\n",
"3 8\n963\n322\n022\n",
"31 35662\n90016\n60016\n00016\n30016\n35637\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"3 12\n1784\n6293\n6625\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n90016\n69906\n",
"1 185589\n23065239971889900420131100926736773200093061236555\n",
"1 11\n8\n",
"50 180667\n3\n8\n3\n6\n5\n6\n1\n9\n6\n7\n6\n3\n2\n6\n7\n8\n6\n3\n2\n5\n2\n7\n3\n7\n8\n2\n1\n7\n9\n4\n1\n2\n4\n3\n8\n9\n9\n9\n8\n9\n1\n4\n1\n5\n1\n9\n7\n3\n9\n8\n",
"9 1000000\n123456789\n032567891\n270567276\n446121141\n567891234\n678912345\n789123456\n891234067\n912345678\n",
"3 8\n175\n322\n022\n",
"3 12\n1784\n6293\n3065\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n108277\n69906\n",
"3 13\n175\n322\n022\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n34026\n139920\n80014\n80016\n80016\n80016\n80016\n80016\n80013\n80013\n80016\n00016\n00016\n00016\n00016\n26317\n90016\n90016\n108277\n69906\n",
"3 4\n175\n322\n022\n",
"49 749442\n8888888\n8888888\n8888888\n5777777\n5777777\n5777777\n5777777\n5777777\n5777777\n5318169\n5777777\n5777777\n5111111\n5111111\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n5666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n0666666\n",
"31 50000000\n90016\n60016\n00016\n30016\n30016\n30013\n30013\n90014\n30014\n30014\n20014\n20014\n80014\n80014\n80016\n80016\n80016\n80016\n80016\n83976\n80013\n80016\n00016\n00016\n00016\n00016\n50016\n90016\n90016\n90016\n90016\n",
"4 9995\n11122\n06330\n04470\n56617\n",
"14 50000000\n1236077004\n5998837733\n7998837733\n7998807733\n7998807733\n7998807733\n7885507733\n7885507733\n4885507733\n4885507733\n4885592233\n5885527777\n3885527777\n4444427777\n",
"15 50000000\n55958\n55158\n55158\n55158\n55158\n66158\n66158\n66158\n22158\n22158\n22128\n22128\n22128\n18647\n22728\n"
],
"output": [
"5",
"1",
"6",
"6",
"1",
"8",
"9",
"3",
"7",
"5",
"6",
"3",
"7",
"8",
"4",
"8",
"9",
"5",
"9",
"4",
"3",
"3",
"2",
"1",
"5",
"9",
"5",
"9",
"9",
"7",
"4",
"7",
"3",
"5",
"1",
"2",
"6",
"1",
"4",
"8",
"9\n",
"5\n",
"2\n",
"8\n",
"7\n",
"1\n",
"4\n",
"6\n",
"2\n",
"9\n",
"5\n",
"5\n",
"2\n",
"1\n",
"2\n",
"1\n",
"1\n",
"9\n",
"4\n",
"4\n",
"9\n",
"5\n",
"2\n",
"8\n",
"7\n",
"5\n",
"2\n",
"9\n",
"2\n",
"9\n",
"6\n",
"9\n",
"2\n",
"8\n",
"7\n",
"5\n",
"2\n",
"6\n",
"9\n",
"1\n",
"9\n",
"5\n",
"5\n",
"9\n",
"5\n",
"1\n",
"5\n"
]
} | 2CODEFORCES
|
1361_E. James and the Chase_347 | James Bond has a new plan for catching his enemy. There are some cities and directed roads between them, such that it is possible to travel between any two cities using these roads. When the enemy appears in some city, Bond knows her next destination but has no idea which path she will choose to move there.
The city a is called interesting, if for each city b, there is exactly one simple path from a to b. By a simple path, we understand a sequence of distinct cities, such that for every two neighboring cities, there exists a directed road from the first to the second city.
Bond's enemy is the mistress of escapes, so only the chase started in an interesting city gives the possibility of catching her. James wants to arrange his people in such cities. However, if there are not enough interesting cities, the whole action doesn't make sense since Bond's people may wait too long for the enemy.
You are responsible for finding all the interesting cities or saying that there is not enough of them. By not enough, James means strictly less than 20\% of all cities.
Input
The first line contains one integer t (1 ≤ t ≤ 2 000) — the number of test cases. Each test case is described as follows:
The first line contains two integers n and m (1 ≤ n ≤ 10^5, 0 ≤ m ≤ 2 ⋅ 10^5) — the number of cities and roads between them. Each of the following m lines contains two integers u, v (u ≠ v; 1 ≤ u, v ≤ n), which denote that there is a directed road from u to v.
You can assume that between each ordered pair of cities there is at most one road. The sum of n over all test cases doesn't exceed 10^5, and the sum of m doesn't exceed 2 ⋅ 10^5.
Output
If strictly less than 20\% of all cities are interesting, print -1. Otherwise, let k be the number of interesting cities. Print k distinct integers in increasing order — the indices of interesting cities.
Example
Input
4
3 3
1 2
2 3
3 1
3 6
1 2
2 1
2 3
3 2
1 3
3 1
7 10
1 2
2 3
3 1
1 4
4 5
5 1
4 6
6 7
7 4
6 1
6 8
1 2
2 3
3 4
4 5
5 6
6 1
6 2
5 1
Output
1 2 3
-1
1 2 3 5
-1
Note
In all drawings, if a city is colored green, then it is interesting; otherwise, it is colored red.
In the first sample, each city is interesting.
<image>
In the second sample, no city is interesting.
<image>
In the third sample, cities 1, 2, 3 and 5 are interesting.
<image>
In the last sample, only the city 1 is interesting. It is strictly less than 20\% of all cities, so the answer is -1.
<image> | #include <bits/stdc++.h>
using namespace std;
mt19937 gene(233);
inline char GET_CHAR() {
const int maxn = 131072;
static char buf[maxn], *p1 = buf, *p2 = buf;
return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, maxn, stdin), p1 == p2)
? EOF
: *p1++;
}
inline int getInt() {
int res(0);
char c = getchar();
while (c < '0') c = getchar();
while (c >= '0') {
res = res * 10 + (c - '0');
c = getchar();
}
return res;
}
inline long long fastpo(long long x, long long n, long long mod) {
long long res(1);
while (n) {
if (n & 1) {
res = res * (long long)x % mod;
}
x = x * (long long)x % mod;
n /= 2;
}
return res;
}
inline string itoa(int x, int width = 0) {
string res;
if (x == 0) res.push_back('0');
while (x) {
res.push_back('0' + x % 10);
x /= 10;
}
while ((int)res.size() < width) res.push_back('0');
reverse(res.begin(), res.end());
return res;
}
template <const long long mod>
struct MI {
long long a;
MI operator+(const MI& b) {
MI res{a + b.a};
if (res.a >= mod) res.a -= mod;
return res;
}
MI operator-(const MI& b) {
MI res{a - b.a};
if (res.a <= 0) res.a += mod;
return res;
}
MI operator*(const MI& b) { return MI{a * b.a % mod}; }
MI operator/(const MI& b) { return MI{a * fastpo(b.a, mod - 2, mod) % mod}; }
};
const int N = 100033;
const int LOG = 20;
const int mod = 1e9 + 7;
const int inf = 1e9 + 7;
int n, m;
int dx[4] = {1, 0, -1, 0};
int dy[4] = {0, 1, 0, -1};
int dep[N], vst[N];
set<pair<int, int> > s[N];
vector<int> e[N];
bool ans[N];
int anc[N], o[N];
int cur[N];
int insert[N];
bool dfs(int v) {
vst[v] = true;
insert[v] = true;
for (int y : e[v]) {
if (!vst[y]) {
dep[y] = dep[v] + 1;
if (!dfs(y)) return false;
} else {
if (insert[y] == false || dep[y] > dep[v]) {
return false;
}
}
}
insert[v] = false;
return true;
}
int _ = 0;
void d1(int v) {
vst[v] = true;
cur[dep[v]] = v;
for (int y : e[v]) {
if (!vst[y]) {
dep[y] = dep[v] + 1;
d1(y);
if (s[v].size() < s[y].size()) {
swap(s[v], s[y]);
}
for (auto tmp : s[y]) {
s[v].insert(tmp);
}
s[y].clear();
} else {
s[v].insert(make_pair(dep[y], ++_));
}
}
while (!s[v].empty() && s[v].rbegin()->first >= dep[v]) {
s[v].erase(*s[v].rbegin());
}
anc[v] = -1;
if (s[v].size() >= 2) {
ans[v] = false;
} else if (s[v].size() == 1) {
anc[v] = cur[s[v].begin()->first];
}
}
void d2(int v) {
vst[v] = true;
if (anc[v] != -1) {
ans[v] &= ans[anc[v]];
}
for (int y : e[v]) {
if (!vst[y]) {
dep[y] = dep[v] + 1;
d2(y);
}
}
}
void run() {
scanf("%d%d", &n, &m);
for (int i = 1; i <= m; i++) {
int x, y;
scanf("%d%d", &x, &y);
e[x].push_back(y);
}
for (int i = 1; i <= n; i++) {
o[i] = i;
swap(o[i], o[gene() % i + 1]);
}
int LIM = 100;
for (int j = 1; j <= min(LIM, n); j++) {
int v = o[j];
fill(insert + 1, insert + 1 + n, false);
fill(vst + 1, vst + 1 + n, false);
dep[v] = 1;
if (dfs(v)) {
fill(vst + 1, vst + 1 + n, false);
fill(ans + 1, ans + 1 + n, true);
d1(v);
fill(vst + 1, vst + 1 + n, false);
d2(v);
int cnt = 0;
for (int i = 1; i <= n; i++) cnt += ans[i];
for (int i = 1; i <= n; i++) s[i].clear();
if (cnt * 5 < n) {
printf("-1\n");
return;
} else {
for (int i = 1; i <= n; i++) {
if (ans[i]) {
cnt--;
printf("%d%c", i, cnt ? ' ' : '\n');
}
}
return;
}
}
}
printf("-1\n");
}
int main() {
int t;
scanf("%d", &t);
for (int qq = 1; qq <= t; qq++) {
run();
for (int i = 1; i <= n; i++) e[i].clear();
}
}
| 2C++
| {
"input": [
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n2 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 3\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 3\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 2\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n2 5\n5 1\n4 6\n6 7\n7 4\n7 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n2 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n2 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 2\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 2\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n1 5\n5 1\n4 6\n6 7\n7 4\n7 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n2 5\n4 6\n6 1\n6 3\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 2\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n6 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n1 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n1 5\n5 1\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 7\n1 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n1 3\n3 1\n2 4\n1 5\n5 1\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n3 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 7\n4 5\n5 1\n4 6\n6 7\n7 4\n6 3\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 2\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n1 3\n3 1\n2 4\n4 5\n5 1\n2 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n2 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n1 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n2 6\n3 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 3\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 7\n4 5\n5 1\n4 6\n6 7\n7 4\n6 3\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n3 2\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 2\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n6 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 1\n1 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n1 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n1 5\n5 1\n4 6\n6 7\n3 4\n7 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 2\n1 4\n2 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n"
],
"output": [
"1 2 3 \n-1\n1 2 3 5 \n-1\n",
"1 2 3 \n-1\n1 2 3 5 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n-1\n-1\n",
"1 2 3 \n-1\n2 3 \n-1\n",
"1 2 3 \n-1\n2 3 \n1 2 \n",
"1 2 3 \n-1\n1 3 5 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 \n1 5 \n",
"1 2 3 \n-1\n-1\n1 5 \n",
"1 2 3 \n-1\n4 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 6 7 \n1 5 \n",
"1 2 3 \n-1\n1 2 3 4 5 \n1 5 \n",
"1 2 3 \n-1\n1 3 5 \n1 3 5 \n",
"1 2 3 \n-1\n1 3 6 \n1 5 \n",
"1 2 3 \n-1\n1 2 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 6 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 5 7 \n1 5 \n",
"1 2 3 \n-1\n1 2 3 4 5 6 7 \n1 5 \n",
"1 2 3 \n-1\n-1\n-1\n",
"1 2 3 \n-1\n1 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n2 3 \n1 2 \n",
"1 2 3 \n-1\n1 3 5 \n1 5 \n",
"1 2 3 \n-1\n4 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 5 \n1 5 \n",
"1 2 3 \n-1\n-1\n1 5 \n",
"1 2 3 \n-1\n4 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n2 3 \n1 2 \n",
"1 2 3 \n-1\n1 3 4 6 7 \n1 5 \n",
"1 2 3 \n-1\n-1\n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n-1\n1 5 \n",
"1 2 3 \n-1\n1 2 3 4 5 7 \n1 5 \n"
]
} | 2CODEFORCES
|
1361_E. James and the Chase_348 | James Bond has a new plan for catching his enemy. There are some cities and directed roads between them, such that it is possible to travel between any two cities using these roads. When the enemy appears in some city, Bond knows her next destination but has no idea which path she will choose to move there.
The city a is called interesting, if for each city b, there is exactly one simple path from a to b. By a simple path, we understand a sequence of distinct cities, such that for every two neighboring cities, there exists a directed road from the first to the second city.
Bond's enemy is the mistress of escapes, so only the chase started in an interesting city gives the possibility of catching her. James wants to arrange his people in such cities. However, if there are not enough interesting cities, the whole action doesn't make sense since Bond's people may wait too long for the enemy.
You are responsible for finding all the interesting cities or saying that there is not enough of them. By not enough, James means strictly less than 20\% of all cities.
Input
The first line contains one integer t (1 ≤ t ≤ 2 000) — the number of test cases. Each test case is described as follows:
The first line contains two integers n and m (1 ≤ n ≤ 10^5, 0 ≤ m ≤ 2 ⋅ 10^5) — the number of cities and roads between them. Each of the following m lines contains two integers u, v (u ≠ v; 1 ≤ u, v ≤ n), which denote that there is a directed road from u to v.
You can assume that between each ordered pair of cities there is at most one road. The sum of n over all test cases doesn't exceed 10^5, and the sum of m doesn't exceed 2 ⋅ 10^5.
Output
If strictly less than 20\% of all cities are interesting, print -1. Otherwise, let k be the number of interesting cities. Print k distinct integers in increasing order — the indices of interesting cities.
Example
Input
4
3 3
1 2
2 3
3 1
3 6
1 2
2 1
2 3
3 2
1 3
3 1
7 10
1 2
2 3
3 1
1 4
4 5
5 1
4 6
6 7
7 4
6 1
6 8
1 2
2 3
3 4
4 5
5 6
6 1
6 2
5 1
Output
1 2 3
-1
1 2 3 5
-1
Note
In all drawings, if a city is colored green, then it is interesting; otherwise, it is colored red.
In the first sample, each city is interesting.
<image>
In the second sample, no city is interesting.
<image>
In the third sample, cities 1, 2, 3 and 5 are interesting.
<image>
In the last sample, only the city 1 is interesting. It is strictly less than 20\% of all cities, so the answer is -1.
<image> | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.util.PriorityQueue;
import java.util.AbstractQueue;
import java.util.Random;
import java.util.ArrayList;
import java.util.AbstractCollection;
import java.io.OutputStreamWriter;
import java.io.OutputStream;
import java.util.Iterator;
import java.io.IOException;
import java.io.UncheckedIOException;
import java.util.List;
import java.io.Closeable;
import java.io.Writer;
import java.util.Comparator;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) throws Exception {
Thread thread = new Thread(null, new TaskAdapter(), "", 1 << 27);
thread.start();
thread.join();
}
static class TaskAdapter implements Runnable {
@Override
public void run() {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
FastInput in = new FastInput(inputStream);
FastOutput out = new FastOutput(outputStream);
EJamesAndTheChase solver = new EJamesAndTheChase();
int testCount = Integer.parseInt(in.next());
for (int i = 1; i <= testCount; i++)
solver.solve(i, in, out);
out.close();
}
}
static class EJamesAndTheChase {
RandomWrapper rw = new RandomWrapper();
boolean valid;
public void solve(int testNumber, FastInput in, FastOutput out) {
int n = in.readInt();
int m = in.readInt();
Node[] nodes = new Node[n];
for (int i = 0; i < n; i++) {
nodes[i] = new Node();
nodes[i].id = i;
}
for (int i = 0; i < m; i++) {
Node a = nodes[in.readInt() - 1];
Node b = nodes[in.readInt() - 1];
a.adj.add(b);
}
Node root = null;
for (int i = 0; i < 50; i++) {
Node randRoot = nodes[rw.nextInt(0, n - 1)];
valid = true;
for (Node node : nodes) {
node.visited = false;
node.instk = false;
}
dfs(randRoot, 0);
for (Node node : nodes) {
valid = valid && node.visited;
}
if (!valid) {
continue;
} else {
root = randRoot;
break;
}
}
if (root == null) {
out.println(-1);
return;
}
//dfs and find root
dpOnTree(root);
root.ok = true;
countOnTree(root);
List<Node> interestingNodes = new ArrayList<>(n);
for (Node node : nodes) {
if (node.ok) {
interestingNodes.add(node);
}
}
if (interestingNodes.size() * 5 < n) {
out.println(-1);
return;
}
//out.println(interestingNodes.size());
for (Node node : interestingNodes) {
out.append(node.id + 1).append(' ');
}
out.println();
}
public void countOnTree(Node root) {
if (root.top != null && root.top.ok) {
root.ok = true;
}
for (Node node : root.adj) {
if (node.depth != root.depth + 1) {
continue;
}
countOnTree(node);
}
}
public void dpOnTree(Node root) {
for (Node node : root.adj) {
if (node.depth != root.depth + 1) {
//to ancestor
root.pq.add(node);
} else {
dpOnTree(node);
root.pq.addAll(node.pq);
}
}
while (!root.pq.isEmpty() && root.pq.peekMax().depth >= root.depth) {
root.pq.popMax();
}
if (root.pq.size() == 1) {
root.top = root.pq.iterator().next();
}
}
public void dfs(Node root, int depth) {
if (root.visited) {
valid = valid && root.instk;
return;
}
root.visited = true;
root.instk = true;
root.depth = depth;
for (Node node : root.adj) {
dfs(node, depth + 1);
}
root.instk = false;
}
}
static class FastInput {
private final InputStream is;
private StringBuilder defaultStringBuf = new StringBuilder(1 << 13);
private byte[] buf = new byte[1 << 13];
private int bufLen;
private int bufOffset;
private int next;
public FastInput(InputStream is) {
this.is = is;
}
private int read() {
while (bufLen == bufOffset) {
bufOffset = 0;
try {
bufLen = is.read(buf);
} catch (IOException e) {
bufLen = -1;
}
if (bufLen == -1) {
return -1;
}
}
return buf[bufOffset++];
}
public void skipBlank() {
while (next >= 0 && next <= 32) {
next = read();
}
}
public String next() {
return readString();
}
public int readInt() {
int sign = 1;
skipBlank();
if (next == '+' || next == '-') {
sign = next == '+' ? 1 : -1;
next = read();
}
int val = 0;
if (sign == 1) {
while (next >= '0' && next <= '9') {
val = val * 10 + next - '0';
next = read();
}
} else {
while (next >= '0' && next <= '9') {
val = val * 10 - next + '0';
next = read();
}
}
return val;
}
public String readString(StringBuilder builder) {
skipBlank();
while (next > 32) {
builder.append((char) next);
next = read();
}
return builder.toString();
}
public String readString() {
defaultStringBuf.setLength(0);
return readString(defaultStringBuf);
}
}
static class RandomWrapper {
private Random random;
public RandomWrapper() {
this(new Random());
}
public RandomWrapper(Random random) {
this.random = random;
}
public int nextInt(int l, int r) {
return random.nextInt(r - l + 1) + l;
}
}
static class FastOutput implements AutoCloseable, Closeable, Appendable {
private StringBuilder cache = new StringBuilder(10 << 20);
private final Writer os;
public FastOutput append(CharSequence csq) {
cache.append(csq);
return this;
}
public FastOutput append(CharSequence csq, int start, int end) {
cache.append(csq, start, end);
return this;
}
public FastOutput(Writer os) {
this.os = os;
}
public FastOutput(OutputStream os) {
this(new OutputStreamWriter(os));
}
public FastOutput append(char c) {
cache.append(c);
return this;
}
public FastOutput append(int c) {
cache.append(c);
return this;
}
public FastOutput println(int c) {
return append(c).println();
}
public FastOutput println() {
cache.append(System.lineSeparator());
return this;
}
public FastOutput flush() {
try {
os.append(cache);
os.flush();
cache.setLength(0);
} catch (IOException e) {
throw new UncheckedIOException(e);
}
return this;
}
public void close() {
flush();
try {
os.close();
} catch (IOException e) {
throw new UncheckedIOException(e);
}
}
public String toString() {
return cache.toString();
}
}
static class FixedMinCollection<V> extends AbstractCollection<V> {
private PriorityQueue<V> pq;
private int cap;
private Comparator<V> comp;
public FixedMinCollection(int cap, Comparator<V> comp) {
if (cap == 0) {
throw new IllegalArgumentException();
}
this.cap = cap;
this.comp = comp;
pq = new PriorityQueue<>(cap, comp.reversed());
}
public boolean add(V v) {
if (pq.size() < cap) {
pq.add(v);
return true;
}
if (comp.compare(pq.peek(), v) > 0) {
pq.remove();
pq.add(v);
return true;
}
return false;
}
public V peekMax() {
return pq.peek();
}
public V popMax() {
return pq.remove();
}
public void clear() {
pq.clear();
}
public Iterator<V> iterator() {
return pq.iterator();
}
public int size() {
return pq.size();
}
}
static class Node {
List<Node> adj = new ArrayList<>();
int id;
boolean visited;
boolean instk;
int depth;
Node top;
boolean ok;
static Comparator<Node> sortByDepth = (a, b) -> Integer.compare(a.depth, b.depth);
FixedMinCollection<Node> pq = new FixedMinCollection<>(2, sortByDepth);
public String toString() {
return "" + (id + 1);
}
}
}
| 4JAVA
| {
"input": [
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n2 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 3\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 3\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 2\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n2 5\n5 1\n4 6\n6 7\n7 4\n7 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n2 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n2 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 2\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 2\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n1 5\n5 1\n4 6\n6 7\n7 4\n7 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n2 5\n4 6\n6 1\n6 3\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 2\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n6 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n1 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n1 5\n5 1\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 7\n1 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n1 3\n3 1\n2 4\n1 5\n5 1\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n3 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 7\n4 5\n5 1\n4 6\n6 7\n7 4\n6 3\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n5 2\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n1 3\n3 1\n2 4\n4 5\n5 1\n2 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n4 6\n6 7\n7 4\n6 2\n6 8\n1 2\n2 3\n3 4\n2 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 6\n1 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n4 5\n5 1\n2 6\n3 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 3\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 7\n4 5\n5 1\n4 6\n6 7\n7 4\n6 3\n6 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 1\n6 2\n3 2\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n2 5\n5 2\n4 6\n4 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n6 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n4 5\n5 1\n4 1\n1 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n2 4\n1 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 1\n1 4\n1 5\n5 1\n4 6\n6 7\n3 4\n7 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n",
"4\n3 3\n1 2\n2 3\n3 1\n3 6\n1 2\n2 1\n2 3\n3 2\n1 3\n3 1\n7 10\n1 2\n2 3\n3 2\n1 4\n2 5\n5 1\n4 6\n6 7\n7 4\n6 1\n6 8\n1 2\n2 3\n3 4\n4 5\n4 6\n6 1\n6 2\n5 1\n"
],
"output": [
"1 2 3 \n-1\n1 2 3 5 \n-1\n",
"1 2 3 \n-1\n1 2 3 5 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n-1\n-1\n",
"1 2 3 \n-1\n2 3 \n-1\n",
"1 2 3 \n-1\n2 3 \n1 2 \n",
"1 2 3 \n-1\n1 3 5 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 \n1 5 \n",
"1 2 3 \n-1\n-1\n1 5 \n",
"1 2 3 \n-1\n4 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 6 7 \n1 5 \n",
"1 2 3 \n-1\n1 2 3 4 5 \n1 5 \n",
"1 2 3 \n-1\n1 3 5 \n1 3 5 \n",
"1 2 3 \n-1\n1 3 6 \n1 5 \n",
"1 2 3 \n-1\n1 2 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 6 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 5 7 \n1 5 \n",
"1 2 3 \n-1\n1 2 3 4 5 6 7 \n1 5 \n",
"1 2 3 \n-1\n-1\n-1\n",
"1 2 3 \n-1\n1 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n2 3 \n1 2 \n",
"1 2 3 \n-1\n1 3 5 \n1 5 \n",
"1 2 3 \n-1\n4 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 5 \n1 5 \n",
"1 2 3 \n-1\n-1\n1 5 \n",
"1 2 3 \n-1\n4 7 \n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n2 3 \n1 2 \n",
"1 2 3 \n-1\n1 3 4 6 7 \n1 5 \n",
"1 2 3 \n-1\n-1\n1 5 \n",
"1 2 3 \n-1\n1 3 4 5 7 \n1 5 \n",
"1 2 3 \n-1\n-1\n1 5 \n",
"1 2 3 \n-1\n1 2 3 4 5 7 \n1 5 \n"
]
} | 2CODEFORCES
|
1382_A. Common Subsequence_349 | You are given two arrays of integers a_1,…,a_n and b_1,…,b_m.
Your task is to find a non-empty array c_1,…,c_k that is a subsequence of a_1,…,a_n, and also a subsequence of b_1,…,b_m. If there are multiple answers, find one of the smallest possible length. If there are still multiple of the smallest possible length, find any. If there are no such arrays, you should report about it.
A sequence a is a subsequence of a sequence b if a can be obtained from b by deletion of several (possibly, zero) elements. For example, [3,1] is a subsequence of [3,2,1] and [4,3,1], but not a subsequence of [1,3,3,7] and [3,10,4].
Input
The first line contains a single integer t (1≤ t≤ 1000) — the number of test cases. Next 3t lines contain descriptions of test cases.
The first line of each test case contains two integers n and m (1≤ n,m≤ 1000) — the lengths of the two arrays.
The second line of each test case contains n integers a_1,…,a_n (1≤ a_i≤ 1000) — the elements of the first array.
The third line of each test case contains m integers b_1,…,b_m (1≤ b_i≤ 1000) — the elements of the second array.
It is guaranteed that the sum of n and the sum of m across all test cases does not exceed 1000 (∑_{i=1}^t n_i, ∑_{i=1}^t m_i≤ 1000).
Output
For each test case, output "YES" if a solution exists, or "NO" otherwise.
If the answer is "YES", on the next line output an integer k (1≤ k≤ 1000) — the length of the array, followed by k integers c_1,…,c_k (1≤ c_i≤ 1000) — the elements of the array.
If there are multiple solutions with the smallest possible k, output any.
Example
Input
5
4 5
10 8 6 4
1 2 3 4 5
1 1
3
3
1 1
3
2
5 3
1000 2 2 2 3
3 1 5
5 5
1 2 3 4 5
1 2 3 4 5
Output
YES
1 4
YES
1 3
NO
YES
1 3
YES
1 2
Note
In the first test case, [4] is a subsequence of [10, 8, 6, 4] and [1, 2, 3, 4, 5]. This array has length 1, it is the smallest possible length of a subsequence of both a and b.
In the third test case, no non-empty subsequences of both [3] and [2] exist, so the answer is "NO". |
for u in range(int(raw_input())):
n,m = map(int ,raw_input().split())
ais = set(map(int, raw_input().split()))
bis = map(int, raw_input().split())
flag = False
for b in bis:
if b in ais:
flag = True
break
print 'YES' if flag else 'NO'
if flag:
print '1 {}'.format(str(b))
| 1Python2
| {
"input": [
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n1 2\n",
"1\n1 3\n3\n1 2 3\n",
"1\n1 1\n1000\n1000\n",
"1\n2 2\n2 2\n2 2\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n4 4\n1 1 1 1\n1 2 3 4\n",
"1\n2 3\n1 1\n1 2 3\n",
"1\n2 2\n1 1\n1 3\n",
"1\n1 3\n3\n1 2 0\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n4 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"1\n1 3\n3\n1 3 3\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 2\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n2 2\n2 1\n",
"5\n4 5\n10 8 2 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 6 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n6\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 5\n",
"5\n4 5\n8 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n2 4 3 4 24\n",
"5\n4 5\n10 4 6 4\n1 2 3 6 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"1\n2 3\n1 1\n1 4 3\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n4 5\n1 4 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 9\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 15\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n2 2\n0 1\n1 2\n",
"1\n4 4\n1 2 1 1\n1 2 3 4\n",
"1\n2 3\n1 1\n1 1 3\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n1 4\n",
"1\n1 3\n3\n0 2 0\n",
"1\n2 3\n1 1\n1 4 1\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 4 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 15\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n1 3\n3\n1 3 2\n",
"1\n4 4\n1 0 1 1\n1 2 3 4\n",
"5\n4 5\n7 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n0 2\n",
"1\n2 3\n1 1\n1 8 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 7 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 1 3 4 24\n",
"1\n4 4\n1 0 1 1\n1 3 3 4\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 3\n1 2\n1 8 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 3 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 7 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 3\n",
"1\n4 4\n1 0 1 2\n1 3 3 4\n",
"1\n2 3\n1 2\n1 8 0\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 3 4 3\n",
"1\n2 3\n1 2\n1 10 0\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 3\n1 2\n1 10 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 1 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 3\n0 2\n1 10 1\n",
"5\n4 5\n10 9 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"1\n1 2\n1 1\n1 2\n",
"1\n1 1\n0000\n1000\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 0\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 6 4 5\n",
"1\n1 3\n3\n1 4 0\n",
"1\n2 2\n1 1\n1 4 3\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 1\n",
"5\n4 5\n10 8 8 4\n1 4 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 5\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 1\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 6 4 15\n",
"5\n4 5\n8 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n2 1\n0 1\n1 2\n",
"5\n4 5\n10 4 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"1\n2 3\n1 1\n1 1 5\n",
"1\n2 2\n1 1\n1 0\n",
"1\n2 3\n1 1\n2 4 1\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 7\n1 2 1 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n0 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n1 3\n3\n1 3 1\n",
"1\n4 4\n1 0 1 0\n1 2 3 4\n",
"1\n2 2\n1 0\n1 2\n",
"1\n2 3\n2 1\n1 8 1\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 3 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 9\n",
"1\n4 4\n1 0 1 1\n1 5 3 4\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 4 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 10\n1 4 3 4 3\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 2\n3 1 6\n5 5\n1 2 3 4 5\n1 2 0 4 5\n",
"1\n2 3\n1 2\n1 11 0\n",
"1\n2 3\n1 1\n1 10 0\n",
"1\n2 3\n1 3\n1 10 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n4 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 6 1 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 2\n2 2\n0 1\n",
"1\n2 2\n1 1\n1 4 2\n",
"5\n4 5\n14 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 1\n",
"5\n4 5\n10 1 8 4\n1 2 2 4 1\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n"
],
"output": [
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1000\n",
"YES\n1 2\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 2\n",
"YES\n1 2\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nNO\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 6\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n"
]
} | 2CODEFORCES
|
1382_A. Common Subsequence_350 | You are given two arrays of integers a_1,…,a_n and b_1,…,b_m.
Your task is to find a non-empty array c_1,…,c_k that is a subsequence of a_1,…,a_n, and also a subsequence of b_1,…,b_m. If there are multiple answers, find one of the smallest possible length. If there are still multiple of the smallest possible length, find any. If there are no such arrays, you should report about it.
A sequence a is a subsequence of a sequence b if a can be obtained from b by deletion of several (possibly, zero) elements. For example, [3,1] is a subsequence of [3,2,1] and [4,3,1], but not a subsequence of [1,3,3,7] and [3,10,4].
Input
The first line contains a single integer t (1≤ t≤ 1000) — the number of test cases. Next 3t lines contain descriptions of test cases.
The first line of each test case contains two integers n and m (1≤ n,m≤ 1000) — the lengths of the two arrays.
The second line of each test case contains n integers a_1,…,a_n (1≤ a_i≤ 1000) — the elements of the first array.
The third line of each test case contains m integers b_1,…,b_m (1≤ b_i≤ 1000) — the elements of the second array.
It is guaranteed that the sum of n and the sum of m across all test cases does not exceed 1000 (∑_{i=1}^t n_i, ∑_{i=1}^t m_i≤ 1000).
Output
For each test case, output "YES" if a solution exists, or "NO" otherwise.
If the answer is "YES", on the next line output an integer k (1≤ k≤ 1000) — the length of the array, followed by k integers c_1,…,c_k (1≤ c_i≤ 1000) — the elements of the array.
If there are multiple solutions with the smallest possible k, output any.
Example
Input
5
4 5
10 8 6 4
1 2 3 4 5
1 1
3
3
1 1
3
2
5 3
1000 2 2 2 3
3 1 5
5 5
1 2 3 4 5
1 2 3 4 5
Output
YES
1 4
YES
1 3
NO
YES
1 3
YES
1 2
Note
In the first test case, [4] is a subsequence of [10, 8, 6, 4] and [1, 2, 3, 4, 5]. This array has length 1, it is the smallest possible length of a subsequence of both a and b.
In the third test case, no non-empty subsequences of both [3] and [2] exist, so the answer is "NO". | #include <bits/stdc++.h>
using namespace std;
int main() {
int t;
cin >> t;
while (t--) {
int n, m;
cin >> n >> m;
int arr[n];
int arr1[m];
for (int i = 0; i < n; i++) {
cin >> arr[i];
}
for (int i = 0; i < m; i++) {
cin >> arr1[i];
}
int num = -1;
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
if (arr[i] == arr1[j]) {
num = arr[i];
break;
}
}
}
if (num != -1) {
cout << "YES" << endl;
cout << "1 " << num << endl;
} else
cout << "NO" << endl;
}
}
| 2C++
| {
"input": [
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n1 2\n",
"1\n1 3\n3\n1 2 3\n",
"1\n1 1\n1000\n1000\n",
"1\n2 2\n2 2\n2 2\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n4 4\n1 1 1 1\n1 2 3 4\n",
"1\n2 3\n1 1\n1 2 3\n",
"1\n2 2\n1 1\n1 3\n",
"1\n1 3\n3\n1 2 0\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n4 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"1\n1 3\n3\n1 3 3\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 2\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n2 2\n2 1\n",
"5\n4 5\n10 8 2 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 6 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n6\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 5\n",
"5\n4 5\n8 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n2 4 3 4 24\n",
"5\n4 5\n10 4 6 4\n1 2 3 6 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"1\n2 3\n1 1\n1 4 3\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n4 5\n1 4 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 9\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 15\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n2 2\n0 1\n1 2\n",
"1\n4 4\n1 2 1 1\n1 2 3 4\n",
"1\n2 3\n1 1\n1 1 3\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n1 4\n",
"1\n1 3\n3\n0 2 0\n",
"1\n2 3\n1 1\n1 4 1\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 4 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 15\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n1 3\n3\n1 3 2\n",
"1\n4 4\n1 0 1 1\n1 2 3 4\n",
"5\n4 5\n7 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n0 2\n",
"1\n2 3\n1 1\n1 8 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 7 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 1 3 4 24\n",
"1\n4 4\n1 0 1 1\n1 3 3 4\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 3\n1 2\n1 8 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 3 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 7 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 3\n",
"1\n4 4\n1 0 1 2\n1 3 3 4\n",
"1\n2 3\n1 2\n1 8 0\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 3 4 3\n",
"1\n2 3\n1 2\n1 10 0\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 3\n1 2\n1 10 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 1 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 3\n0 2\n1 10 1\n",
"5\n4 5\n10 9 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"1\n1 2\n1 1\n1 2\n",
"1\n1 1\n0000\n1000\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 0\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 6 4 5\n",
"1\n1 3\n3\n1 4 0\n",
"1\n2 2\n1 1\n1 4 3\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 1\n",
"5\n4 5\n10 8 8 4\n1 4 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 5\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 1\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 6 4 15\n",
"5\n4 5\n8 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n2 1\n0 1\n1 2\n",
"5\n4 5\n10 4 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"1\n2 3\n1 1\n1 1 5\n",
"1\n2 2\n1 1\n1 0\n",
"1\n2 3\n1 1\n2 4 1\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 7\n1 2 1 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n0 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n1 3\n3\n1 3 1\n",
"1\n4 4\n1 0 1 0\n1 2 3 4\n",
"1\n2 2\n1 0\n1 2\n",
"1\n2 3\n2 1\n1 8 1\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 3 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 9\n",
"1\n4 4\n1 0 1 1\n1 5 3 4\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 4 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 10\n1 4 3 4 3\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 2\n3 1 6\n5 5\n1 2 3 4 5\n1 2 0 4 5\n",
"1\n2 3\n1 2\n1 11 0\n",
"1\n2 3\n1 1\n1 10 0\n",
"1\n2 3\n1 3\n1 10 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n4 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 6 1 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 2\n2 2\n0 1\n",
"1\n2 2\n1 1\n1 4 2\n",
"5\n4 5\n14 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 1\n",
"5\n4 5\n10 1 8 4\n1 2 2 4 1\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n"
],
"output": [
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1000\n",
"YES\n1 2\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 2\n",
"YES\n1 2\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nNO\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 6\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n"
]
} | 2CODEFORCES
|
1382_A. Common Subsequence_351 | You are given two arrays of integers a_1,…,a_n and b_1,…,b_m.
Your task is to find a non-empty array c_1,…,c_k that is a subsequence of a_1,…,a_n, and also a subsequence of b_1,…,b_m. If there are multiple answers, find one of the smallest possible length. If there are still multiple of the smallest possible length, find any. If there are no such arrays, you should report about it.
A sequence a is a subsequence of a sequence b if a can be obtained from b by deletion of several (possibly, zero) elements. For example, [3,1] is a subsequence of [3,2,1] and [4,3,1], but not a subsequence of [1,3,3,7] and [3,10,4].
Input
The first line contains a single integer t (1≤ t≤ 1000) — the number of test cases. Next 3t lines contain descriptions of test cases.
The first line of each test case contains two integers n and m (1≤ n,m≤ 1000) — the lengths of the two arrays.
The second line of each test case contains n integers a_1,…,a_n (1≤ a_i≤ 1000) — the elements of the first array.
The third line of each test case contains m integers b_1,…,b_m (1≤ b_i≤ 1000) — the elements of the second array.
It is guaranteed that the sum of n and the sum of m across all test cases does not exceed 1000 (∑_{i=1}^t n_i, ∑_{i=1}^t m_i≤ 1000).
Output
For each test case, output "YES" if a solution exists, or "NO" otherwise.
If the answer is "YES", on the next line output an integer k (1≤ k≤ 1000) — the length of the array, followed by k integers c_1,…,c_k (1≤ c_i≤ 1000) — the elements of the array.
If there are multiple solutions with the smallest possible k, output any.
Example
Input
5
4 5
10 8 6 4
1 2 3 4 5
1 1
3
3
1 1
3
2
5 3
1000 2 2 2 3
3 1 5
5 5
1 2 3 4 5
1 2 3 4 5
Output
YES
1 4
YES
1 3
NO
YES
1 3
YES
1 2
Note
In the first test case, [4] is a subsequence of [10, 8, 6, 4] and [1, 2, 3, 4, 5]. This array has length 1, it is the smallest possible length of a subsequence of both a and b.
In the third test case, no non-empty subsequences of both [3] and [2] exist, so the answer is "NO". | #!/usr/bin/env python3
import io
import os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
def get_str():
return input().decode().strip()
def rint():
return map(int, input().split())
def oint():
return int(input())
t = oint()
for _ in range(t):
n, m = rint()
a = set(rint())
b = set(rint())
c = a&b
if c:
print('YES')
print(1, list(c)[0])
else:
print('NO')
| 3Python3
| {
"input": [
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n1 2\n",
"1\n1 3\n3\n1 2 3\n",
"1\n1 1\n1000\n1000\n",
"1\n2 2\n2 2\n2 2\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n4 4\n1 1 1 1\n1 2 3 4\n",
"1\n2 3\n1 1\n1 2 3\n",
"1\n2 2\n1 1\n1 3\n",
"1\n1 3\n3\n1 2 0\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n4 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"1\n1 3\n3\n1 3 3\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 2\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n2 2\n2 1\n",
"5\n4 5\n10 8 2 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 6 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n6\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 5\n",
"5\n4 5\n8 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n2 4 3 4 24\n",
"5\n4 5\n10 4 6 4\n1 2 3 6 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"1\n2 3\n1 1\n1 4 3\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n4 5\n1 4 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 9\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 15\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n2 2\n0 1\n1 2\n",
"1\n4 4\n1 2 1 1\n1 2 3 4\n",
"1\n2 3\n1 1\n1 1 3\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n1 4\n",
"1\n1 3\n3\n0 2 0\n",
"1\n2 3\n1 1\n1 4 1\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 4 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 15\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n1 3\n3\n1 3 2\n",
"1\n4 4\n1 0 1 1\n1 2 3 4\n",
"5\n4 5\n7 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n0 2\n",
"1\n2 3\n1 1\n1 8 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 7 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 1 3 4 24\n",
"1\n4 4\n1 0 1 1\n1 3 3 4\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 3\n1 2\n1 8 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 3 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 7 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 3\n",
"1\n4 4\n1 0 1 2\n1 3 3 4\n",
"1\n2 3\n1 2\n1 8 0\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 3 4 3\n",
"1\n2 3\n1 2\n1 10 0\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 3\n1 2\n1 10 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 1 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 3\n0 2\n1 10 1\n",
"5\n4 5\n10 9 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"1\n1 2\n1 1\n1 2\n",
"1\n1 1\n0000\n1000\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 0\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 6 4 5\n",
"1\n1 3\n3\n1 4 0\n",
"1\n2 2\n1 1\n1 4 3\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 1\n",
"5\n4 5\n10 8 8 4\n1 4 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 5\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 1\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 6 4 15\n",
"5\n4 5\n8 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n2 1\n0 1\n1 2\n",
"5\n4 5\n10 4 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"1\n2 3\n1 1\n1 1 5\n",
"1\n2 2\n1 1\n1 0\n",
"1\n2 3\n1 1\n2 4 1\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 7\n1 2 1 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n0 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n1 3\n3\n1 3 1\n",
"1\n4 4\n1 0 1 0\n1 2 3 4\n",
"1\n2 2\n1 0\n1 2\n",
"1\n2 3\n2 1\n1 8 1\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 3 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 9\n",
"1\n4 4\n1 0 1 1\n1 5 3 4\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 4 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 10\n1 4 3 4 3\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 2\n3 1 6\n5 5\n1 2 3 4 5\n1 2 0 4 5\n",
"1\n2 3\n1 2\n1 11 0\n",
"1\n2 3\n1 1\n1 10 0\n",
"1\n2 3\n1 3\n1 10 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n4 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 6 1 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 2\n2 2\n0 1\n",
"1\n2 2\n1 1\n1 4 2\n",
"5\n4 5\n14 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 1\n",
"5\n4 5\n10 1 8 4\n1 2 2 4 1\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n"
],
"output": [
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1000\n",
"YES\n1 2\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 2\n",
"YES\n1 2\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nNO\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 6\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n"
]
} | 2CODEFORCES
|
1382_A. Common Subsequence_352 | You are given two arrays of integers a_1,…,a_n and b_1,…,b_m.
Your task is to find a non-empty array c_1,…,c_k that is a subsequence of a_1,…,a_n, and also a subsequence of b_1,…,b_m. If there are multiple answers, find one of the smallest possible length. If there are still multiple of the smallest possible length, find any. If there are no such arrays, you should report about it.
A sequence a is a subsequence of a sequence b if a can be obtained from b by deletion of several (possibly, zero) elements. For example, [3,1] is a subsequence of [3,2,1] and [4,3,1], but not a subsequence of [1,3,3,7] and [3,10,4].
Input
The first line contains a single integer t (1≤ t≤ 1000) — the number of test cases. Next 3t lines contain descriptions of test cases.
The first line of each test case contains two integers n and m (1≤ n,m≤ 1000) — the lengths of the two arrays.
The second line of each test case contains n integers a_1,…,a_n (1≤ a_i≤ 1000) — the elements of the first array.
The third line of each test case contains m integers b_1,…,b_m (1≤ b_i≤ 1000) — the elements of the second array.
It is guaranteed that the sum of n and the sum of m across all test cases does not exceed 1000 (∑_{i=1}^t n_i, ∑_{i=1}^t m_i≤ 1000).
Output
For each test case, output "YES" if a solution exists, or "NO" otherwise.
If the answer is "YES", on the next line output an integer k (1≤ k≤ 1000) — the length of the array, followed by k integers c_1,…,c_k (1≤ c_i≤ 1000) — the elements of the array.
If there are multiple solutions with the smallest possible k, output any.
Example
Input
5
4 5
10 8 6 4
1 2 3 4 5
1 1
3
3
1 1
3
2
5 3
1000 2 2 2 3
3 1 5
5 5
1 2 3 4 5
1 2 3 4 5
Output
YES
1 4
YES
1 3
NO
YES
1 3
YES
1 2
Note
In the first test case, [4] is a subsequence of [10, 8, 6, 4] and [1, 2, 3, 4, 5]. This array has length 1, it is the smallest possible length of a subsequence of both a and b.
In the third test case, no non-empty subsequences of both [3] and [2] exist, so the answer is "NO". | import java.io.*;
import java.util.*;
public class A {
public static void main(String[] args) throws Exception {
Scanner sc = new Scanner(System.in);
PrintWriter pw = new PrintWriter(System.out);
int t = sc.nextInt();
while (t-- > 0) {
int n = sc.nextInt();
int m = sc.nextInt();
HashSet<Integer> h = new HashSet<>();
int x = -1;
for (int i = 0; i < n; i++) {
h.add(sc.nextInt());
}
for (int i = 0; i < m; i++) {
int s = sc.nextInt();
if (h.contains(s)) {
x = s;
}
}
if (x == -1)
pw.println("NO");
else {
pw.println("YES");
pw.println(1 + " " + x);
}
}
pw.flush();
}
/////////////////////////////////////////////////////////////////////////////////////////////////////////////
// Returns nCr % p
static int nCrModp(int n, int r, int p) {
if (r > n - r)
r = n - r;
// The array C is going to store last
// row of pascal triangle at the end.
// And last entry of last row is nCr
int C[] = new int[r + 1];
C[0] = 1; // Top row of Pascal Triangle
// One by constructs remaining rows of Pascal
// Triangle from top to bottom
for (int i = 1; i <= n; i++) {
// Fill entries of current row using previous
// row values
for (int j = Math.min(i, r); j > 0; j--)
// nCj = (n-1)Cj + (n-1)C(j-1);
C[j] = (C[j] + C[j - 1]) % p;
}
return C[r];
}
static long mod(long ans, int mod) {
return (ans % mod + mod) % mod;
}
static long gcd(long a, long b) {
if (a == 0)
return b;
return gcd(b % a, a);
}
static long lcm(long a, long b) {
return (a * b) / gcd(a, b);
}
public static int log(int n, int base) {
int ans = 0;
while (n + 1 > base) {
ans++;
n /= base;
}
return ans;
}
static long pow(long b, long e) {
long ans = 1;
while (e > 0) {
if ((e & 1) == 1)
ans = ((ans * 1l * b));
e >>= 1;
{
}
b = ((b * 1l * b));
}
return ans;
}
static int powmod(int b, long e, int mod) {
int ans = 1;
b %= mod;
while (e > 0) {
if ((e & 1) == 1)
ans = (int) ((ans * 1l * b) % mod);
e >>= 1;
b = (int) ((b * 1l * b) % mod);
}
return ans;
}
static class pair implements Comparable<pair> {
int x, y;
pair(int s, int d) {
x = s;
y = d;
}
@Override
public int compareTo(pair p) {
return (x == p.x && y == p.y) ? 0 : 1;
}
@Override
public String toString() {
return x + " " + y;
}
}
static int ceil(int a, int b) {
int ans = a / b;
return a % b == 0 ? ans : ans + 1;
}
static long ceil(long a, long b) {
long ans = a / b;
return a % b == 0 ? ans : ans + 1;
}
static class Scanner {
StringTokenizer st;
BufferedReader br;
public Scanner(InputStream s) {
br = new BufferedReader(new InputStreamReader(s));
}
public Scanner(String file) throws Exception {
br = new BufferedReader(new FileReader(file));
}
public int[] intArr(int n) throws IOException {
int a[] = new int[n];
for (int i = 0; i < a.length; i++) {
a[i] = nextInt();
}
return a;
}
public long[] longArr(int n) throws IOException {
long a[] = new long[n];
for (int i = 0; i < a.length; i++) {
a[i] = nextLong();
}
return a;
}
public String next() throws IOException {
while (st == null || !st.hasMoreTokens())
st = new StringTokenizer(br.readLine());
return st.nextToken();
}
public int nextInt() throws IOException {
return Integer.parseInt(next());
}
public long nextLong() throws IOException {
return Long.parseLong(next());
}
public String nextLine() throws IOException {
return br.readLine();
}
public double nextDouble() throws IOException {
String x = next();
StringBuilder sb = new StringBuilder("0");
double res = 0, f = 1;
boolean dec = false, neg = false;
int start = 0;
if (x.charAt(0) == '-') {
neg = true;
start++;
}
for (int i = start; i < x.length(); i++)
if (x.charAt(i) == '.') {
res = Long.parseLong(sb.toString());
sb = new StringBuilder("0");
dec = true;
} else {
sb.append(x.charAt(i));
if (dec)
f *= 10;
}
res += Long.parseLong(sb.toString()) / f;
return res * (neg ? -1 : 1);
}
public boolean ready() throws IOException {
return br.ready();
}
}
public static void shuffle(int[] a) {
int n = a.length;
for (int i = 0; i < n; i++) {
int r = i + (int) (Math.random() * (n - i));
int tmp = a[i];
a[i] = a[r];
a[r] = tmp;
}
}
} | 4JAVA
| {
"input": [
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n1 2\n",
"1\n1 3\n3\n1 2 3\n",
"1\n1 1\n1000\n1000\n",
"1\n2 2\n2 2\n2 2\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n4 4\n1 1 1 1\n1 2 3 4\n",
"1\n2 3\n1 1\n1 2 3\n",
"1\n2 2\n1 1\n1 3\n",
"1\n1 3\n3\n1 2 0\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n4 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"1\n1 3\n3\n1 3 3\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 2\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n2 2\n2 1\n",
"5\n4 5\n10 8 2 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 6 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n6\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 5\n",
"5\n4 5\n8 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n2 4 3 4 24\n",
"5\n4 5\n10 4 6 4\n1 2 3 6 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"1\n2 3\n1 1\n1 4 3\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n4 5\n1 4 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 9\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 15\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n2 2\n0 1\n1 2\n",
"1\n4 4\n1 2 1 1\n1 2 3 4\n",
"1\n2 3\n1 1\n1 1 3\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n1 4\n",
"1\n1 3\n3\n0 2 0\n",
"1\n2 3\n1 1\n1 4 1\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 4 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 15\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n1 3\n3\n1 3 2\n",
"1\n4 4\n1 0 1 1\n1 2 3 4\n",
"5\n4 5\n7 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 2\n1 1\n0 2\n",
"1\n2 3\n1 1\n1 8 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 7 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 1 3 4 24\n",
"1\n4 4\n1 0 1 1\n1 3 3 4\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"1\n2 3\n1 2\n1 8 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 4 5\n",
"5\n4 5\n10 8 15 4\n1 3 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 7 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 3\n",
"1\n4 4\n1 0 1 2\n1 3 3 4\n",
"1\n2 3\n1 2\n1 8 0\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 3 4 3\n",
"1\n2 3\n1 2\n1 10 0\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 3\n1 2\n1 10 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 1 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 3\n0 2\n1 10 1\n",
"5\n4 5\n10 9 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 5 5\n",
"1\n1 2\n1 1\n1 2\n",
"1\n1 1\n0000\n1000\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 0\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 6 4 5\n",
"1\n1 3\n3\n1 4 0\n",
"1\n2 2\n1 1\n1 4 3\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 1\n",
"5\n4 5\n10 8 8 4\n1 4 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 5\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 1\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 6 4 15\n",
"5\n4 5\n8 1 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n2 1\n0 1\n1 2\n",
"5\n4 5\n10 4 6 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n0 2 3 4 5\n",
"1\n2 3\n1 1\n1 1 5\n",
"1\n2 2\n1 1\n1 0\n",
"1\n2 3\n1 1\n2 4 1\n",
"5\n4 5\n10 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 3 2 3\n3 1 5\n5 5\n1 2 3 1 5\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 7\n1 2 1 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n",
"5\n4 5\n10 1 8 4\n2 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n0 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 24\n",
"1\n1 3\n3\n1 3 1\n",
"1\n4 4\n1 0 1 0\n1 2 3 4\n",
"1\n2 2\n1 0\n1 2\n",
"1\n2 3\n2 1\n1 8 1\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 3 2 2 3\n3 1 5\n5 5\n1 2 3 2 5\n1 4 3 4 9\n",
"1\n4 4\n1 0 1 1\n1 5 3 4\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 6\n5 5\n1 2 3 4 5\n1 2 3 4 5\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 4 2 3\n3 1 5\n5 5\n1 2 3 1 7\n1 2 3 4 5\n",
"5\n4 5\n10 1 8 7\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 2 10\n1 4 3 4 3\n",
"5\n4 5\n7 8 6 4\n0 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 2\n3 1 6\n5 5\n1 2 3 4 5\n1 2 0 4 5\n",
"1\n2 3\n1 2\n1 11 0\n",
"1\n2 3\n1 1\n1 10 0\n",
"1\n2 3\n1 3\n1 10 1\n",
"5\n4 5\n10 8 8 4\n1 0 3 4 5\n1 1\n3\n3\n1 1\n6\n1\n5 3\n1000 2 3 2 3\n3 1 5\n4 5\n1 2 3 1 7\n1 2 3 5 5\n",
"5\n4 5\n10 1 8 7\n1 2 6 1 5\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 3 5\n1 4 4 4 3\n",
"1\n2 2\n2 2\n0 1\n",
"1\n2 2\n1 1\n1 4 2\n",
"5\n4 5\n14 8 8 4\n1 2 3 4 5\n1 1\n3\n3\n1 1\n3\n2\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 2 3 4 1\n",
"5\n4 5\n10 1 8 4\n1 2 2 4 1\n1 1\n3\n3\n1 1\n3\n1\n5 3\n1000 2 2 2 3\n3 1 5\n5 5\n1 2 3 4 5\n1 4 3 4 9\n"
],
"output": [
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1000\n",
"YES\n1 2\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 2\n",
"YES\n1 2\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nNO\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 6\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"NO\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 2\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 3\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nNO\nYES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"NO\n",
"YES\n1 1\n",
"YES\n1 4\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n",
"YES\n1 1\nYES\n1 3\nNO\nYES\n1 3\nYES\n1 1\n"
]
} | 2CODEFORCES
|
1424_N. BubbleSquare Tokens_353 | BubbleSquare social network is celebrating 13^{th} anniversary and it is rewarding its members with special edition BubbleSquare tokens. Every member receives one personal token. Also, two additional tokens are awarded to each member for every friend they have on the network. Yet, there is a twist – everyone should end up with different number of tokens from all their friends. Each member may return one received token. Also, each two friends may agree to each return one or two tokens they have obtained on behalf of their friendship.
Input
First line of input contains two integer numbers n and k (2 ≤ n ≤ 12500, 1 ≤ k ≤ 1000000) - number of members in network and number of friendships.
Next k lines contain two integer numbers a_i and b_i (1 ≤ a_i, b_i ≤ n, a_i ≠ b_i) - meaning members a_i and b_i are friends.
Output
First line of output should specify the number of members who are keeping their personal token.
The second line should contain space separated list of members who are keeping their personal token.
Each of the following k lines should contain three space separated numbers, representing friend pairs and number of tokens each of them gets on behalf of their friendship.
Examples
Input
2 1
1 2
Output
1
1
1 2 0
Input
3 3
1 2
1 3
2 3
Output
0
1 2 0
2 3 1
1 3 2
Note
In the first test case, only the first member will keep its personal token and no tokens will be awarded for friendship between the first and the second member.
In the second test case, none of the members will keep their personal token. The first member will receive two tokens (for friendship with the third member), the second member will receive one token (for friendship with the third member) and the third member will receive three tokens (for friendships with the first and the second member). | #include <bits/stdc++.h>
#pragma GCC optimize(2)
#pragma GCC optimize("Ofast")
using namespace std;
namespace Base {
inline char gc(void) {
static char buf[100000], *p1 = buf, *p2 = buf;
return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 100000, stdin), p1 == p2)
? EOF
: *p1++;
}
template <class T>
inline void read(T &x) {
T flag = (T)1;
x = 0;
static char ch = gc();
for (; ch > '9' || ch < '0'; ch = gc()) flag = ch == '-' ? -1 : 1;
for (; ch >= '0' && ch <= '9'; ch = gc()) x = (x << 1) + (x << 3) + (ch & 15);
x *= flag;
return;
}
inline void readstr(string &x) {
x = "";
static char ch;
while (isspace(ch = gc()))
;
while (x += ch, !isspace(ch = gc()))
;
}
inline void readstr(char *s) {
do *s = gc();
while ((*s == ' ') || (*s == '\n') || (*s == '\r'));
do *(++s) = gc();
while ((~*s) && (*s != ' ') && (*s != '\n') && (*s != '\r'));
*s = 0;
return;
}
inline void printstr(string x, int num = 0, char ch = '\n') {
for (int i = num; i < x.size(); ++i) putchar(x[i]);
putchar(ch);
}
inline void readch(char &x) {
while (isspace(x = gc()))
;
}
char pf[100000], *o1 = pf, *o2 = pf + 100000;
template <class T>
inline void println(T x, char c = '\n') {
if (x < 0)
(o1 == o2 ? fwrite(pf, 1, 100000, stdout), *(o1 = pf)++ = 45 : *o1++ = 45),
x = -x;
static char s[15], *b;
b = s;
if (!x) *b++ = 48;
for (; x; *b++ = x % 10 + 48, x /= 10)
;
for (; b-- != s; (o1 == o2 ? fwrite(pf, 1, 100000, stdout),
*(o1 = pf)++ = *b : *o1++ = *b))
;
(o1 == o2 ? fwrite(pf, 1, 100000, stdout), *(o1 = pf)++ = c : *o1++ = c);
}
int wbuf[25], _wl = 0;
template <class T>
inline void write(T x) {
if (x == 0) {
putchar(48);
return;
}
if (x < 0) putchar('-'), x = -x;
_wl = 0;
while (x) wbuf[++_wl] = x % 10, x /= 10;
for (int i = _wl; i >= 1; i--) putchar(wbuf[i] + 48);
}
template <class T>
inline void writeln(T x) {
write(x);
puts("");
}
template <class T>
inline void writeln(T x, char c) {
write(x);
putchar(c);
}
template <class T>
inline void writeln(char c, T x) {
putchar(c);
write(x);
}
template <class T>
inline void chkmax(T &x, const T y) {
x > y ? x = x : x = y;
}
template <class T>
inline void chkmin(T &x, const T y) {
x < y ? x = x : x = y;
}
template <class T>
inline T max(const T &x, const T &y, const T &z) {
return x > y ? (x > z ? x : z) : (y > z ? y : z);
}
inline void file(string str) {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
struct Vector {
double x, y;
Vector(double _x = 0, double _y = 0) : x(_x), y(_y) {}
inline Vector Vary(void) { return Vector(x, -y); }
inline bool operator<(const Vector &rhs) const {
return x == rhs.x ? y < rhs.y : x < rhs.x;
}
inline Vector operator-(const Vector &rhs) const {
return Vector(x - rhs.x, y - rhs.y);
}
inline Vector operator+(const Vector &rhs) const {
return Vector(x + rhs.x, y + rhs.y);
}
inline Vector operator*(const double &rhs) const {
return Vector(x * rhs, y * rhs);
}
inline Vector operator/(const double &rhs) const {
return Vector(x / rhs, y / rhs);
}
inline Vector operator*(const Vector &rhs) const {
return Vector(x * rhs.x - y * rhs.y, x * rhs.y + y * rhs.x);
}
};
} // namespace Base
using namespace Base;
const int N = 1e6 + 100;
int x[N], y[N], w[N], s[N], v[N];
bool in[N * 2];
vector<pair<int, int> > e[N];
vector<int> res;
int n, m;
int main() {
read(n);
read(m);
for (register int i = (1); i <= (m); i++) {
read(x[i]);
read(y[i]);
w[i] = 1;
s[x[i]]++;
s[y[i]]++;
e[max(x[i], y[i])].push_back(make_pair(min(x[i], y[i]), i));
}
for (register int i = (1); i <= (n); i++) {
for (register int it = (0); it < (int(e[i].size())); it++) {
if (!v[e[i][it].first]) {
v[e[i][it].first] = 1;
w[e[i][it].second] = 0;
s[i]--;
}
in[s[e[i][it].first]] = 1;
}
for (register int it = (0); it < (int(e[i].size())); it++) {
if (!in[s[i]]) break;
s[i]++;
v[e[i][it].first] = 0;
w[e[i][it].second]++;
}
for (register int it = (0); it < (int(e[i].size())); it++)
in[s[e[i][it].first]] = 0;
}
for (register int i = (1); i <= (n); i++)
if (v[i]) res.push_back(i);
writeln(int(res.size()));
for (register int it = (0); it < (int(res.size())); it++)
writeln(res[it], ' ');
puts("");
for (register int i = (1); i <= (m); i++) {
writeln(x[i], ' ');
writeln(y[i], ' ');
writeln(w[i]);
}
return 0;
}
| 2C++
| {
"input": [
"2 1\n1 2\n",
"3 3\n1 2\n1 3\n2 3\n",
"2 0\n1 2\n",
"2 1\n1 3\n",
"3 3\n1 2\n1 5\n2 3\n",
"2 0\n1 0\n",
"4 0\n1 0\n",
"4 0\n1 -1\n",
"0 0\n1 2\n",
"2 0\n1 1\n",
"6 0\n1 0\n",
"4 0\n0 -1\n",
"0 0\n1 0\n",
"8 0\n0 -1\n",
"0 -1\n1 0\n",
"8 0\n0 0\n",
"0 -1\n1 -1\n",
"-1 -1\n1 -1\n",
"-1 -1\n1 0\n",
"-1 0\n1 0\n",
"1 0\n1 2\n",
"2 -1\n1 0\n",
"8 0\n1 -1\n",
"-1 0\n2 0\n",
"2 0\n2 0\n",
"6 0\n1 -1\n",
"4 0\n-1 -1\n",
"1 0\n1 0\n",
"5 0\n0 -1\n",
"0 -1\n2 -1\n",
"8 0\n0 1\n",
"0 -1\n1 -2\n",
"-1 -2\n1 -1\n",
"-1 -1\n1 1\n",
"-1 0\n1 1\n",
"0 0\n0 2\n",
"3 -1\n1 0\n",
"8 -1\n0 -1\n",
"0 0\n2 0\n",
"2 0\n2 -1\n",
"6 0\n2 -1\n",
"4 -1\n-1 -1\n",
"5 0\n0 -2\n",
"0 0\n2 -1\n",
"8 -1\n0 1\n",
"0 0\n1 -2\n",
"-1 -2\n2 -1\n",
"-1 -1\n2 1\n",
"-1 0\n2 1\n",
"0 -1\n0 2\n",
"5 -1\n1 0\n",
"8 -2\n0 -1\n",
"0 0\n0 0\n",
"2 0\n4 -1\n",
"6 0\n2 0\n",
"5 0\n-1 -1\n",
"5 -1\n0 -2\n",
"0 0\n2 -2\n",
"8 -2\n0 1\n",
"1 -1\n1 0\n",
"-1 -2\n2 -2\n",
"-2 -1\n2 1\n",
"-1 0\n0 1\n",
"-1 0\n0 2\n",
"3 -1\n2 0\n",
"8 -2\n1 -1\n",
"0 0\n-1 0\n",
"2 0\n4 -2\n",
"5 -1\n0 0\n",
"0 0\n3 -2\n",
"8 -2\n0 0\n",
"1 -1\n1 -1\n",
"-2 -2\n2 -2\n",
"-2 -2\n2 1\n",
"-1 0\n0 4\n",
"3 -1\n4 0\n",
"8 -2\n1 -2\n",
"0 -1\n-1 0\n",
"2 0\n6 -2\n",
"5 -1\n0 1\n",
"-1 0\n3 -2\n",
"11 -2\n0 0\n",
"1 -2\n1 -1\n",
"-1 -2\n1 -2\n",
"0 -2\n2 1\n",
"-2 0\n0 2\n",
"4 -1\n4 0\n",
"8 -2\n2 -2\n",
"-1 -1\n-1 0\n",
"2 0\n1 -2\n",
"4 -1\n0 1\n",
"-1 0\n6 -2\n",
"11 -2\n-1 0\n",
"1 -2\n0 -1\n",
"-2 -4\n2 -2\n",
"0 -2\n1 1\n",
"-1 0\n0 0\n",
"8 -1\n4 0\n",
"16 -2\n1 -2\n",
"0 -2\n-1 0\n",
"2 -1\n1 -2\n",
"5 -2\n0 1\n"
],
"output": [
"1\n1 \n1 2 0\n",
"0\n\n1 2 0\n1 3 2\n2 3 1\n",
"0\n",
"0\n1 3 1\n",
"2\n1\n2\n1 2 0\n1 5 1\n2 3 0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
]
} | 2CODEFORCES
|
1446_D2. Frequency Problem (Hard Version)_354 | This is the hard version of the problem. The difference between the versions is in the constraints on the array elements. You can make hacks only if all versions of the problem are solved.
You are given an array [a_1, a_2, ..., a_n].
Your goal is to find the length of the longest subarray of this array such that the most frequent value in it is not unique. In other words, you are looking for a subarray such that if the most frequent value occurs f times in this subarray, then at least 2 different values should occur exactly f times.
An array c is a subarray of an array d if c can be obtained from d by deletion of several (possibly, zero or all) elements from the beginning and several (possibly, zero or all) elements from the end.
Input
The first line contains a single integer n (1 ≤ n ≤ 200 000) — the length of the array.
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ n) — elements of the array.
Output
You should output exactly one integer — the length of the longest subarray of the array whose most frequent value is not unique. If there is no such subarray, output 0.
Examples
Input
7
1 1 2 2 3 3 3
Output
6
Input
10
1 1 1 5 4 1 3 1 2 2
Output
7
Input
1
1
Output
0
Note
In the first sample, the subarray [1, 1, 2, 2, 3, 3] is good, but [1, 1, 2, 2, 3, 3, 3] isn't: in the latter there are 3 occurrences of number 3, and no other element appears 3 times. | #include <bits/stdc++.h>
using namespace std;
const long long inf = 1e9 + 69;
const int MX = 5e5 + 5;
const int LG = (int)log2(MX);
const long long mod = 1e9 + 7;
const int BLOCK = 450;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int n;
vector<int> v, cnt;
vector<int> q, inv;
int val = 0;
void reset() {
q.assign(n + 1, 0);
inv.assign(n + 1, 0);
val = 0;
}
void push(int nw) {
inv[q[nw]]--;
q[nw]++;
inv[q[nw]]++;
if (q[nw] > val) val = q[nw];
}
void pop(int nw) {
inv[q[nw]]--;
q[nw]--;
inv[q[nw]]++;
if (inv[val] == 0) val--;
}
bool check() { return inv[val] >= 2; }
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n;
v.resize(n + 1), cnt.resize(n + 1);
for (int i = 1; i <= n; i++) {
cin >> v[i];
cnt[v[i]]++;
}
vector<int> modus;
int cntmx = 0;
for (int i = 1; i <= n; i++) {
if (cntmx < cnt[i]) {
cntmx = cnt[i];
modus.clear();
}
if (cntmx == cnt[i]) {
modus.push_back(i);
}
}
if (modus.size() > 1) {
cout << n << "\n";
return 0;
}
int fi = modus[0];
if (cnt[fi] == n) {
cout << 0 << "\n";
return 0;
}
int ans = 0;
for (int i = 1; i <= BLOCK; i++) {
reset();
int lf = 1;
for (int rg = 1; rg <= n; rg++) {
push(v[rg]);
for (; val > i; lf++) pop(v[lf]);
if (check()) ans = max(ans, rg - lf + 1);
}
}
for (int sc = 1; sc <= n; sc++) {
if (sc == fi || cnt[sc] < BLOCK) continue;
vector<int> presum(2 * n + 5, -1);
presum[n + 2] = 0;
int sm = 0;
for (int i = 1; i <= n; i++) {
if (v[i] == fi)
sm++;
else if (v[i] == sc)
sm--;
if (presum[sm + n + 2] == -1) presum[sm + n + 2] = i;
ans = max(ans, i - presum[sm + n + 2]);
}
}
cout << ans << "\n";
return 0;
}
| 2C++
| {
"input": [
"7\n1 1 2 2 3 3 3\n",
"10\n1 1 1 5 4 1 3 1 2 2\n",
"1\n1\n",
"100\n92 53 86 41 77 68 80 54 17 96 89 53 64 55 2 80 28 58 77 43 70 91 71 71 78 3 25 2 15 47 60 70 95 19 47 58 57 47 91 2 23 80 86 98 98 98 57 98 98 25 98 98 57 98 98 98 98 98 25 98 98 98 98 98 57 98 98 25 98 98 57 98 98 57 98 98 25 98 98 34 98 98 34 98 98 25 98 98 24 98 98 25 89 34 76 71 91 92 22 13\n",
"20\n9 2 12 10 2 9 13 14 11 16 9 1 9 13 5 11 12 19 20 1\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"20\n15 12 19 6 5 11 2 5 18 3 17 15 17 7 9 18 19 17 18 15\n",
"100\n92 42 58 62 24 59 62 100 92 62 54 100 62 82 91 62 100 100 62 100 100 62 92 92 92 62 92 92 62 92 62 92 88 100 100 36 62 92 16 92 62 100 62 92 35 62 100 92 92 62 93 100 100 62 76 100 62 62 92 62 92 50 100 8 7 62 100 18 92 62 92 92 100 62 32 92 92 62 37 76 100 39 62 92 62 41 62 62 19 57 100 37 92 99 100 47 62 92 62 62\n",
"100\n44 80 26 88 24 37 4 96 23 25 5 5 7 41 54 35 25 57 88 91 20 78 98 64 57 60 86 91 67 63 32 100 91 34 26 41 34 98 5 80 3 57 57 25 42 98 25 88 5 5 24 67 98 34 47 84 62 31 71 91 98 57 35 57 24 34 13 79 2 73 38 57 73 5 98 100 4 23 42 7 25 34 18 91 25 26 53 32 57 25 91 8 4 16 23 91 34 53 42 98\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 38 72 23 15 17 30 33 11 53 24 82 79 57 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 7 18 5 17 8 11 13 19 11 19 18 18 13 14 1\n",
"20\n2 3 5 4 3 2 1 2 2 2 2 3 2 5 2 1 1 4 5 3\n",
"100\n53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 28 28 28 28 28 28 28 28 28 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 57 57 57 57 57 57 57 57 57 57 57 57 57 96 57 94 94 94 94 94 94 94 94 94 94 94 22 22 22 22 22 22 22 22 22 22 22 22 22 22\n",
"100\n94 77 52 53 56 88 23 46 33 28 11 96 68 84 4 91 57 20 98 75 89 83 22 67 80 16 54 41 27 34 62 69 5 50 32 42 45 55 36 59 60 18 37 63 90 1 64 7 81 29 39 93 82 48 43 61 17 66 8 79 2 26 6 44 31 86 40 73 3 65 12 78 74 25 87 95 24 92 13 58 85 76 100 70 38 71 10 19 97 14 47 72 99 35 9 21 51 49 30 15\n",
"100\n92 53 86 41 77 68 80 54 17 96 89 53 64 55 2 80 28 58 77 43 70 91 71 71 78 3 25 2 15 47 60 70 95 19 47 58 57 47 91 2 23 80 86 98 98 98 57 98 98 7 98 98 57 98 98 98 98 98 25 98 98 98 98 98 57 98 98 25 98 98 57 98 98 57 98 98 25 98 98 34 98 98 34 98 98 25 98 98 24 98 98 25 89 34 76 71 91 92 22 13\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"20\n15 12 19 6 5 11 2 5 18 3 17 15 17 7 9 18 19 17 18 17\n",
"100\n44 80 26 88 24 37 4 96 23 25 5 5 7 41 54 35 25 57 88 91 20 78 98 64 57 60 86 91 67 63 32 100 91 34 26 41 34 98 5 80 3 57 57 25 42 98 25 88 5 5 24 67 98 34 47 84 62 31 71 91 98 57 35 57 24 34 13 79 2 73 38 57 73 1 98 100 4 23 42 7 25 34 18 91 25 26 53 32 57 25 91 8 4 16 23 91 34 53 42 98\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 38 72 23 15 17 30 33 11 53 24 82 79 69 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 7 18 5 17 8 11 8 19 11 19 18 18 13 14 1\n",
"20\n2 3 5 4 3 2 1 2 2 2 2 3 2 5 2 2 1 4 5 3\n",
"100\n53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 28 28 28 28 28 28 28 28 28 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 57 57 57 57 57 57 57 85 57 57 57 57 57 96 57 94 94 94 94 94 94 94 94 94 94 94 22 22 22 22 22 22 22 22 22 22 22 22 22 22\n",
"7\n1 1 2 4 3 3 3\n",
"10\n1 1 1 2 4 1 3 1 2 2\n",
"20\n20 16 6 13 15 14 18 5 17 5 11 8 19 9 19 18 18 13 14 1\n",
"100\n64 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 1 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n94 77 52 53 56 88 23 46 33 28 11 96 68 84 4 91 57 20 98 75 89 83 22 67 80 16 54 41 27 34 62 69 5 50 32 42 45 55 36 59 60 18 37 63 90 1 64 7 81 29 39 93 82 48 43 61 17 66 8 79 2 26 6 44 31 86 40 73 3 65 12 78 74 25 87 95 24 92 1 58 85 76 100 70 38 71 10 19 97 14 47 72 99 35 9 21 51 49 30 15\n",
"7\n1 1 3 2 3 3 3\n",
"10\n1 1 1 5 4 2 3 1 2 2\n",
"100\n53 53 53 53 53 53 53 53 53 53 53 53 53 7 53 53 53 53 53 53 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 28 28 28 28 28 28 28 28 28 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 57 57 57 57 57 57 57 85 57 57 57 57 57 96 57 94 94 94 94 94 94 94 94 94 94 94 22 22 22 22 22 22 22 22 22 22 22 22 22 22\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 14 72 23 15 17 30 33 11 53 24 82 79 69 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 14 18 5 17 8 11 8 19 11 19 18 18 13 14 1\n",
"7\n2 1 2 4 3 3 3\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 34 75 42\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 23 32 92 5 84 65 62 50 36 74 16 73 35 27 9 14 72 23 15 17 30 33 11 53 24 82 79 69 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 14 18 5 17 5 11 8 19 11 19 18 18 13 14 1\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"20\n13 16 6 13 15 14 18 5 17 5 11 8 19 11 19 18 18 13 14 1\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"20\n13 16 6 13 15 14 18 5 17 5 11 8 19 9 19 18 18 13 14 1\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"20\n20 16 6 13 15 14 18 5 17 5 11 8 19 9 19 18 18 13 14 2\n",
"100\n64 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 1 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 7 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 1 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 9 7 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 52 93 64 56 88 91 85 85 64 64 88 25 70 1 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 9 7 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n92 53 86 41 77 68 80 54 17 96 89 53 64 55 2 80 28 58 77 43 70 91 71 71 78 3 25 2 15 47 60 70 95 19 47 58 57 47 91 2 23 80 86 98 98 98 57 98 98 25 98 98 57 98 98 98 98 98 25 98 98 98 98 98 57 98 98 25 98 98 57 98 98 57 98 98 25 98 98 34 98 98 34 98 98 25 98 98 24 98 98 25 89 34 40 71 91 92 22 13\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"20\n15 12 19 6 5 11 2 5 18 6 17 15 17 7 9 18 19 17 18 15\n",
"100\n44 80 26 88 24 37 4 96 23 25 5 5 7 41 54 35 25 57 88 91 20 78 98 64 57 60 86 91 67 63 32 100 91 34 26 41 34 98 5 80 3 57 57 25 42 98 25 88 5 5 24 67 98 34 47 84 62 31 71 91 98 57 35 57 24 34 13 79 2 73 38 57 73 5 98 100 4 23 42 7 25 34 18 91 25 26 53 32 57 25 91 8 4 16 23 54 34 53 42 98\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 1 62 50 36 74 16 73 35 27 9 38 72 23 15 17 30 33 11 53 24 82 79 57 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 7 18 5 17 8 11 13 19 2 19 18 18 13 14 1\n",
"100\n53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 32 28 28 28 28 28 28 28 28 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 57 57 57 57 57 57 57 57 57 57 57 57 57 96 57 94 94 94 94 94 94 94 94 94 94 94 22 22 22 22 22 22 22 22 22 22 22 22 22 22\n",
"100\n92 53 86 41 77 68 80 54 17 96 89 53 64 55 2 80 28 58 77 43 70 91 71 71 78 3 25 2 15 47 60 70 95 19 47 58 57 12 91 2 23 80 86 98 98 98 57 98 98 7 98 98 57 98 98 98 98 98 25 98 98 98 98 98 57 98 98 25 98 98 57 98 98 57 98 98 25 98 98 34 98 98 34 98 98 25 98 98 24 98 98 25 89 34 76 71 91 92 22 13\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"100\n44 80 26 88 24 37 4 96 23 25 5 5 7 41 54 35 25 57 88 91 20 78 98 64 57 60 86 91 67 63 32 100 91 34 26 41 34 98 5 80 3 57 57 25 42 98 25 88 5 5 24 67 98 34 47 84 62 31 70 91 98 57 35 57 24 34 13 79 2 73 38 57 73 1 98 100 4 23 42 7 25 34 18 91 25 26 53 32 57 25 91 8 4 16 23 91 34 53 42 98\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 24 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 38 72 23 15 17 30 33 11 53 24 82 79 69 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 16 7 18 5 17 8 11 8 19 11 19 18 18 13 14 1\n",
"20\n2 3 5 4 3 2 1 2 2 2 2 3 2 5 2 2 2 4 5 3\n",
"7\n1 1 2 4 3 2 3\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 39 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 14 72 23 15 17 30 33 11 53 24 82 79 69 49 21 30 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 12 6 13 19 14 18 5 17 8 11 8 19 11 19 18 18 13 14 1\n"
],
"output": [
"6\n",
"7\n",
"0\n",
"47\n",
"14\n",
"41\n",
"20\n",
"79\n",
"82\n",
"99\n",
"19\n",
"9\n",
"96\n",
"100\n",
"47",
"41",
"19",
"82",
"100",
"20",
"7",
"96",
"6",
"8",
"16",
"40",
"42",
"78",
"5",
"9",
"97",
"41",
"100",
"20",
"6",
"41",
"100",
"20",
"41",
"20",
"41",
"20",
"41",
"16",
"41",
"41",
"41",
"41",
"41",
"42",
"42",
"42",
"47",
"41",
"20",
"82",
"100",
"19",
"96",
"47",
"41",
"82",
"100",
"20",
"7",
"7",
"41",
"100",
"20"
]
} | 2CODEFORCES
|
1446_D2. Frequency Problem (Hard Version)_355 | This is the hard version of the problem. The difference between the versions is in the constraints on the array elements. You can make hacks only if all versions of the problem are solved.
You are given an array [a_1, a_2, ..., a_n].
Your goal is to find the length of the longest subarray of this array such that the most frequent value in it is not unique. In other words, you are looking for a subarray such that if the most frequent value occurs f times in this subarray, then at least 2 different values should occur exactly f times.
An array c is a subarray of an array d if c can be obtained from d by deletion of several (possibly, zero or all) elements from the beginning and several (possibly, zero or all) elements from the end.
Input
The first line contains a single integer n (1 ≤ n ≤ 200 000) — the length of the array.
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ n) — elements of the array.
Output
You should output exactly one integer — the length of the longest subarray of the array whose most frequent value is not unique. If there is no such subarray, output 0.
Examples
Input
7
1 1 2 2 3 3 3
Output
6
Input
10
1 1 1 5 4 1 3 1 2 2
Output
7
Input
1
1
Output
0
Note
In the first sample, the subarray [1, 1, 2, 2, 3, 3] is good, but [1, 1, 2, 2, 3, 3, 3] isn't: in the latter there are 3 occurrences of number 3, and no other element appears 3 times. | import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.StringTokenizer;
/*
15
1 1 2 2 3 3 3 3 3 3 3 3 3 3 3
*/
public class D2 {
//TODO: FIX THIS!
static int MAX_VAL=200_001;
static final boolean debug=false;
public static void main(String[] args) {
FastScanner fs=new FastScanner();
int n=fs.nextInt();
int[] a=fs.readArray(n);
for (int i=0; i<n; i++) a[i]--;
ArrayList<Integer>[] occurrancesOfList=new ArrayList[MAX_VAL];
for (int i=0; i<MAX_VAL; i++) occurrancesOfList[i]=new ArrayList<>();
for (int i=0; i<n; i++) occurrancesOfList[a[i]].add(i);
int[][] occurrancesOf=new int[MAX_VAL][];
for (int i=0; i<MAX_VAL; i++) {
occurrancesOf[i]=new int[occurrancesOfList[i].size()];
for (int j=0; j<occurrancesOf[i].length; j++)
occurrancesOf[i][j]=occurrancesOfList[i].get(j);
}
int mostFreq=0;
for (int i=0; i<MAX_VAL; i++)
if (occurrancesOfList[i].size()>occurrancesOfList[mostFreq].size())
mostFreq=i;
int best=0;
int[] bigOccs=occurrancesOf[mostFreq];
for (int other=0; other<MAX_VAL; other++) {
if (other==mostFreq) continue;
int[] p2s=occurrancesOf[other];
ArrayList<Integer> bigOccsToUse=new ArrayList<>();
int nextToTake=0;
int k=p2s.length+1;
for (int i:p2s) {
//TODO: binary search for firstThing > i
int p1Ind=bs(bigOccs, i);
nextToTake=Math.max(nextToTake, p1Ind-k);
while (nextToTake<bigOccs.length && nextToTake<p1Ind+k) {
bigOccsToUse.add(bigOccs[nextToTake++]);
}
}
int totalThings=bigOccsToUse.size()+p2s.length;
int[] positions=new int[totalThings];
int[] deltas=new int[totalThings];
int p1=0, p2=0;
while (p1<bigOccsToUse.size() || p2<p2s.length) {
if (p1==bigOccsToUse.size() || (p2!=p2s.length && p2s[p2]<bigOccsToUse.get(p1))) {
deltas[p1+p2]=-1;
positions[p1+p2]=p2s[p2];
p2++;
continue;
}
else {
deltas[p1+p2]=1;
positions[p1+p2]=bigOccsToUse.get(p1);
p1++;
continue;
}
}
best=Math.max(best, go(positions, deltas, n));
}
System.out.println(best);
}
//returns the index of the first thing > x, or n-1 otherwise
static int bs(int[] a, int x) {
int min=0, max=a.length-1;
while (min!=max) {
int mid=(min+max)/2;
if (a[mid]>x) {
max=mid;
}
else {
min=mid+1;
}
}
min=Math.min(min, a.length-1);
return min;
}
static final int oo=1_000_000_000;
static int go(int[] positions, int[] deltas, int n) {
if (debug) System.out.println("Trying positions: "+Arrays.toString(positions));
if (debug) System.out.println("Deltas: "+Arrays.toString(deltas));
//TODO: linear sweep
int minPrefixSum=0, prefixSum=0, maxPrefixSum=0;;
for (int i:deltas) {
prefixSum+=i;
minPrefixSum=Math.min(minPrefixSum, prefixSum);
maxPrefixSum=Math.max(maxPrefixSum, prefixSum);
}
prefixSum=0;
int[] first=new int[maxPrefixSum-minPrefixSum+10];
int[] version=new int[maxPrefixSum-minPrefixSum+10];
Arrays.fill(first, oo);
first[0-minPrefixSum]=Math.min(first[0-minPrefixSum], 0);
version[0-minPrefixSum]=-1;
int best=0;
for (int i=0; i<positions.length; i++) {
//choose not to include this
int endX=positions[i]-1;
int startX=first[prefixSum-minPrefixSum];
if (version[prefixSum-minPrefixSum]!=i-1)
best=Math.max(best, endX-startX+1);
prefixSum+=deltas[i];
if (first[prefixSum-minPrefixSum] == oo) {
first[prefixSum-minPrefixSum]=positions[i]+1;
version[prefixSum-minPrefixSum]=i;
}
}
int endX=n-1;
int startX=first[prefixSum-minPrefixSum];
if (version[prefixSum-minPrefixSum] != positions.length-1)
best=Math.max(best, endX-startX+1);
if (debug) System.out.println("First: "+Arrays.toString(first));
if (debug) System.out.println("Returning "+best);
if (debug) System.out.println();
return best;
}
static void sort(int[] a) {
ArrayList<Integer> l=new ArrayList<>();
for (int i:a) l.add(i);
Collections.sort(l);
for (int i=0; i<a.length; i++) a[i]=l.get(i);
}
static class FastScanner {
BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
StringTokenizer st=new StringTokenizer("");
String next() {
while (!st.hasMoreTokens())
try {
st=new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
int[] readArray(int n) {
int[] a=new int[n];
for (int i=0; i<n; i++) a[i]=nextInt();
return a;
}
long nextLong() {
return Long.parseLong(next());
}
}
}
| 4JAVA
| {
"input": [
"7\n1 1 2 2 3 3 3\n",
"10\n1 1 1 5 4 1 3 1 2 2\n",
"1\n1\n",
"100\n92 53 86 41 77 68 80 54 17 96 89 53 64 55 2 80 28 58 77 43 70 91 71 71 78 3 25 2 15 47 60 70 95 19 47 58 57 47 91 2 23 80 86 98 98 98 57 98 98 25 98 98 57 98 98 98 98 98 25 98 98 98 98 98 57 98 98 25 98 98 57 98 98 57 98 98 25 98 98 34 98 98 34 98 98 25 98 98 24 98 98 25 89 34 76 71 91 92 22 13\n",
"20\n9 2 12 10 2 9 13 14 11 16 9 1 9 13 5 11 12 19 20 1\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"20\n15 12 19 6 5 11 2 5 18 3 17 15 17 7 9 18 19 17 18 15\n",
"100\n92 42 58 62 24 59 62 100 92 62 54 100 62 82 91 62 100 100 62 100 100 62 92 92 92 62 92 92 62 92 62 92 88 100 100 36 62 92 16 92 62 100 62 92 35 62 100 92 92 62 93 100 100 62 76 100 62 62 92 62 92 50 100 8 7 62 100 18 92 62 92 92 100 62 32 92 92 62 37 76 100 39 62 92 62 41 62 62 19 57 100 37 92 99 100 47 62 92 62 62\n",
"100\n44 80 26 88 24 37 4 96 23 25 5 5 7 41 54 35 25 57 88 91 20 78 98 64 57 60 86 91 67 63 32 100 91 34 26 41 34 98 5 80 3 57 57 25 42 98 25 88 5 5 24 67 98 34 47 84 62 31 71 91 98 57 35 57 24 34 13 79 2 73 38 57 73 5 98 100 4 23 42 7 25 34 18 91 25 26 53 32 57 25 91 8 4 16 23 91 34 53 42 98\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 38 72 23 15 17 30 33 11 53 24 82 79 57 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 7 18 5 17 8 11 13 19 11 19 18 18 13 14 1\n",
"20\n2 3 5 4 3 2 1 2 2 2 2 3 2 5 2 1 1 4 5 3\n",
"100\n53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 28 28 28 28 28 28 28 28 28 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 57 57 57 57 57 57 57 57 57 57 57 57 57 96 57 94 94 94 94 94 94 94 94 94 94 94 22 22 22 22 22 22 22 22 22 22 22 22 22 22\n",
"100\n94 77 52 53 56 88 23 46 33 28 11 96 68 84 4 91 57 20 98 75 89 83 22 67 80 16 54 41 27 34 62 69 5 50 32 42 45 55 36 59 60 18 37 63 90 1 64 7 81 29 39 93 82 48 43 61 17 66 8 79 2 26 6 44 31 86 40 73 3 65 12 78 74 25 87 95 24 92 13 58 85 76 100 70 38 71 10 19 97 14 47 72 99 35 9 21 51 49 30 15\n",
"100\n92 53 86 41 77 68 80 54 17 96 89 53 64 55 2 80 28 58 77 43 70 91 71 71 78 3 25 2 15 47 60 70 95 19 47 58 57 47 91 2 23 80 86 98 98 98 57 98 98 7 98 98 57 98 98 98 98 98 25 98 98 98 98 98 57 98 98 25 98 98 57 98 98 57 98 98 25 98 98 34 98 98 34 98 98 25 98 98 24 98 98 25 89 34 76 71 91 92 22 13\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"20\n15 12 19 6 5 11 2 5 18 3 17 15 17 7 9 18 19 17 18 17\n",
"100\n44 80 26 88 24 37 4 96 23 25 5 5 7 41 54 35 25 57 88 91 20 78 98 64 57 60 86 91 67 63 32 100 91 34 26 41 34 98 5 80 3 57 57 25 42 98 25 88 5 5 24 67 98 34 47 84 62 31 71 91 98 57 35 57 24 34 13 79 2 73 38 57 73 1 98 100 4 23 42 7 25 34 18 91 25 26 53 32 57 25 91 8 4 16 23 91 34 53 42 98\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 38 72 23 15 17 30 33 11 53 24 82 79 69 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 7 18 5 17 8 11 8 19 11 19 18 18 13 14 1\n",
"20\n2 3 5 4 3 2 1 2 2 2 2 3 2 5 2 2 1 4 5 3\n",
"100\n53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 28 28 28 28 28 28 28 28 28 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 57 57 57 57 57 57 57 85 57 57 57 57 57 96 57 94 94 94 94 94 94 94 94 94 94 94 22 22 22 22 22 22 22 22 22 22 22 22 22 22\n",
"7\n1 1 2 4 3 3 3\n",
"10\n1 1 1 2 4 1 3 1 2 2\n",
"20\n20 16 6 13 15 14 18 5 17 5 11 8 19 9 19 18 18 13 14 1\n",
"100\n64 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 1 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n94 77 52 53 56 88 23 46 33 28 11 96 68 84 4 91 57 20 98 75 89 83 22 67 80 16 54 41 27 34 62 69 5 50 32 42 45 55 36 59 60 18 37 63 90 1 64 7 81 29 39 93 82 48 43 61 17 66 8 79 2 26 6 44 31 86 40 73 3 65 12 78 74 25 87 95 24 92 1 58 85 76 100 70 38 71 10 19 97 14 47 72 99 35 9 21 51 49 30 15\n",
"7\n1 1 3 2 3 3 3\n",
"10\n1 1 1 5 4 2 3 1 2 2\n",
"100\n53 53 53 53 53 53 53 53 53 53 53 53 53 7 53 53 53 53 53 53 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 28 28 28 28 28 28 28 28 28 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 57 57 57 57 57 57 57 85 57 57 57 57 57 96 57 94 94 94 94 94 94 94 94 94 94 94 22 22 22 22 22 22 22 22 22 22 22 22 22 22\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 14 72 23 15 17 30 33 11 53 24 82 79 69 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 14 18 5 17 8 11 8 19 11 19 18 18 13 14 1\n",
"7\n2 1 2 4 3 3 3\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 34 75 42\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 23 32 92 5 84 65 62 50 36 74 16 73 35 27 9 14 72 23 15 17 30 33 11 53 24 82 79 69 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 14 18 5 17 5 11 8 19 11 19 18 18 13 14 1\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"20\n13 16 6 13 15 14 18 5 17 5 11 8 19 11 19 18 18 13 14 1\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"20\n13 16 6 13 15 14 18 5 17 5 11 8 19 9 19 18 18 13 14 1\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"20\n20 16 6 13 15 14 18 5 17 5 11 8 19 9 19 18 18 13 14 2\n",
"100\n64 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 6 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 1 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 7 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 54 93 64 56 88 91 85 85 64 64 88 25 70 1 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 9 7 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n64 95 91 95 77 54 91 77 77 42 58 48 97 85 54 63 42 70 42 97 75 52 93 64 56 88 91 85 85 64 64 88 25 70 1 3 20 3 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 9 7 18 48 85 35 97 20 54 64 20 85 56 34 75 42\n",
"100\n92 53 86 41 77 68 80 54 17 96 89 53 64 55 2 80 28 58 77 43 70 91 71 71 78 3 25 2 15 47 60 70 95 19 47 58 57 47 91 2 23 80 86 98 98 98 57 98 98 25 98 98 57 98 98 98 98 98 25 98 98 98 98 98 57 98 98 25 98 98 57 98 98 57 98 98 25 98 98 34 98 98 34 98 98 25 98 98 24 98 98 25 89 34 40 71 91 92 22 13\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"20\n15 12 19 6 5 11 2 5 18 6 17 15 17 7 9 18 19 17 18 15\n",
"100\n44 80 26 88 24 37 4 96 23 25 5 5 7 41 54 35 25 57 88 91 20 78 98 64 57 60 86 91 67 63 32 100 91 34 26 41 34 98 5 80 3 57 57 25 42 98 25 88 5 5 24 67 98 34 47 84 62 31 71 91 98 57 35 57 24 34 13 79 2 73 38 57 73 5 98 100 4 23 42 7 25 34 18 91 25 26 53 32 57 25 91 8 4 16 23 54 34 53 42 98\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 1 62 50 36 74 16 73 35 27 9 38 72 23 15 17 30 33 11 53 24 82 79 57 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 19 7 18 5 17 8 11 13 19 2 19 18 18 13 14 1\n",
"100\n53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 32 28 28 28 28 28 28 28 28 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 57 57 57 57 57 57 57 57 57 57 57 57 57 96 57 94 94 94 94 94 94 94 94 94 94 94 22 22 22 22 22 22 22 22 22 22 22 22 22 22\n",
"100\n92 53 86 41 77 68 80 54 17 96 89 53 64 55 2 80 28 58 77 43 70 91 71 71 78 3 25 2 15 47 60 70 95 19 47 58 57 12 91 2 23 80 86 98 98 98 57 98 98 7 98 98 57 98 98 98 98 98 25 98 98 98 98 98 57 98 98 25 98 98 57 98 98 57 98 98 25 98 98 34 98 98 34 98 98 25 98 98 24 98 98 25 89 34 76 71 91 92 22 13\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 97 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"100\n44 80 26 88 24 37 4 96 23 25 5 5 7 41 54 35 25 57 88 91 20 78 98 64 57 60 86 91 67 63 32 100 91 34 26 41 34 98 5 80 3 57 57 25 42 98 25 88 5 5 24 67 98 34 47 84 62 31 70 91 98 57 35 57 24 34 13 79 2 73 38 57 73 1 98 100 4 23 42 7 25 34 18 91 25 26 53 32 57 25 91 8 4 16 23 91 34 53 42 98\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 24 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 38 72 23 15 17 30 33 11 53 24 82 79 69 49 21 68 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 16 6 13 16 7 18 5 17 8 11 8 19 11 19 18 18 13 14 1\n",
"20\n2 3 5 4 3 2 1 2 2 2 2 3 2 5 2 2 2 4 5 3\n",
"7\n1 1 2 4 3 2 3\n",
"100\n77 95 91 95 77 54 91 77 77 42 63 48 39 85 54 63 42 70 42 97 75 77 93 64 56 88 91 85 85 64 64 88 54 70 6 3 20 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 18 48 85 75 97 20 54 64 20 85 56 77 75 42\n",
"100\n6 20 18 88 48 85 77 70 93 90 91 54 97 75 3 56 63 95 64 42 76 19 52 45 83 96 7 60 71 58 34 2 98 66 69 43 67 46 89 13 81 1 59 8 10 26 14 86 99 4 41 32 92 5 84 65 62 50 36 74 16 73 35 27 9 14 72 23 15 17 30 33 11 53 24 82 79 69 49 21 30 22 39 47 25 61 51 31 6 37 78 94 44 100 29 87 12 55 80 40\n",
"20\n13 12 6 13 19 14 18 5 17 8 11 8 19 11 19 18 18 13 14 1\n"
],
"output": [
"6\n",
"7\n",
"0\n",
"47\n",
"14\n",
"41\n",
"20\n",
"79\n",
"82\n",
"99\n",
"19\n",
"9\n",
"96\n",
"100\n",
"47",
"41",
"19",
"82",
"100",
"20",
"7",
"96",
"6",
"8",
"16",
"40",
"42",
"78",
"5",
"9",
"97",
"41",
"100",
"20",
"6",
"41",
"100",
"20",
"41",
"20",
"41",
"20",
"41",
"16",
"41",
"41",
"41",
"41",
"41",
"42",
"42",
"42",
"47",
"41",
"20",
"82",
"100",
"19",
"96",
"47",
"41",
"82",
"100",
"20",
"7",
"7",
"41",
"100",
"20"
]
} | 2CODEFORCES
|
1470_E. Strange Permutation_356 | Alice had a permutation p_1, p_2, …, p_n. Unfortunately, the permutation looked very boring, so she decided to change it and choose some non-overlapping subranges of this permutation and reverse them. The cost of reversing a single subrange [l, r] (elements from position l to position r, inclusive) is equal to r - l, and the cost of the operation is the sum of costs of reversing individual subranges. Alice had an integer c in mind, so she only considered operations that cost no more than c.
Then she got really bored, and decided to write down all the permutations that she could possibly obtain by performing exactly one operation on the initial permutation. Of course, Alice is very smart, so she wrote down each obtainable permutation exactly once (no matter in how many ways it can be obtained), and of course the list was sorted lexicographically.
Now Bob would like to ask Alice some questions about her list. Each question is in the following form: what is the i-th number in the j-th permutation that Alice wrote down? Since Alice is too bored to answer these questions, she asked you to help her out.
Input
The first line contains a single integer t (1 ≤ t ≤ 30) — the number of test cases.
The first line of each test case contains three integers n, c, q (1 ≤ n ≤ 3 ⋅ 10^4, 1 ≤ c ≤ 4, 1 ≤ q ≤ 3 ⋅ 10^5) — the length of the permutation, the maximum cost of the operation, and the number of queries.
The next line of each test case contains n integers p_1, p_2, ..., p_n (1 ≤ p_i ≤ n, p_i ≠ p_j if i ≠ j), describing the initial permutation.
The following q lines describe the queries. Each of them contains two integers i and j (1 ≤ i ≤ n, 1 ≤ j ≤ 10^{18}), denoting parameters of this query.
It is guaranteed that the sum of values n over all test cases does not exceed 3 ⋅ 10^5, and the sum of values q over all test cases does not exceed 3 ⋅ 10^5.
Output
For each query output the answer for this query, or -1 if j-th permutation does not exist in her list.
Examples
Input
2
3 1 9
1 2 3
1 1
2 1
3 1
1 2
2 2
3 2
1 3
2 3
3 3
6 4 4
6 5 4 3 1 2
1 1
3 14
1 59
2 6
Output
1
2
3
1
3
2
2
1
3
1
4
-1
5
Input
1
12 4 2
1 2 3 4 5 6 7 8 9 10 11 12
2 20
2 21
Output
2
2
Note
In the first test case, Alice wrote down the following permutations: [1, 2, 3], [1, 3, 2], [2, 1, 3].
Note that, for a permutation [3, 2, 1] Alice would have to reverse the whole array, and it would cost her 2, which is greater than the specified value c=1. The other two permutations can not be obtained by performing exactly one operation described in the problem statement. | #pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
void*wmem;
char memarr[96000000];
template<class S, class T> inline S min_L(S a,T b){
return a<=b?a:b;
}
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
(*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
(*arr)=(T*)(*mem);
(*mem)=((*arr)+x);
}
template<class T> inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){
walloc1d(arr, x2-x1, mem);
(*arr) -= x1;
}
template<class T1> void sortA_L(int N, T1 a[], void *mem = wmem){
sort(a, a+N);
}
template<class T1, class T2> void sortA_L(int N, T1 a[], T2 b[], void *mem = wmem){
int i;
pair<T1, T2>*arr;
walloc1d(&arr, N, &mem);
for(i=(0);i<(N);i++){
arr[i].first = a[i];
arr[i].second = b[i];
}
sort(arr, arr+N);
for(i=(0);i<(N);i++){
a[i] = arr[i].first;
b[i] = arr[i].second;
}
}
inline int my_getchar(){
static char buf[1048576];
static int s = 1048576;
static int e = 1048576;
if(s == e && e == 1048576){
e = fread(buf, 1, 1048576, stdin);
s = 0;
}
if(s == e){
return EOF;
}
return buf[s++];
}
inline void rd(int &x){
int k;
int m=0;
x=0;
for(;;){
k = my_getchar();
if(k=='-'){
m=1;
break;
}
if('0'<=k&&k<='9'){
x=k-'0';
break;
}
}
for(;;){
k = my_getchar();
if(k<'0'||k>'9'){
break;
}
x=x*10+k-'0';
}
if(m){
x=-x;
}
}
inline void rd(long long &x){
int k;
int m=0;
x=0;
for(;;){
k = my_getchar();
if(k=='-'){
m=1;
break;
}
if('0'<=k&&k<='9'){
x=k-'0';
break;
}
}
for(;;){
k = my_getchar();
if(k<'0'||k>'9'){
break;
}
x=x*10+k-'0';
}
if(m){
x=-x;
}
}
inline int rd_int(void){
int x;
rd(x);
return x;
}
struct MY_WRITER{
char buf[1048576];
int s;
int e;
MY_WRITER(){
s = 0;
e = 1048576;
}
~MY_WRITER(){
if(s){
fwrite(buf, 1, s, stdout);
}
}
}
;
MY_WRITER MY_WRITER_VAR;
void my_putchar(int a){
if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){
fwrite(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout);
MY_WRITER_VAR.s = 0;
}
MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a;
}
inline void wt_L(char a){
my_putchar(a);
}
inline void wt_L(int x){
int s=0;
int m=0;
char f[10];
if(x<0){
m=1;
x=-x;
}
while(x){
f[s++]=x%10;
x/=10;
}
if(!s){
f[s++]=0;
}
if(m){
my_putchar('-');
}
while(s--){
my_putchar(f[s]+'0');
}
}
template<class S> inline void arrInsert(const int k, int &sz, S a[], const S aval){
int i;
sz++;
for(i=sz-1;i>k;i--){
a[i] = a[i-1];
}
a[k] = aval;
}
template<class S, class T> inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval){
int i;
sz++;
for(i=sz-1;i>k;i--){
a[i] = a[i-1];
}
for(i=sz-1;i>k;i--){
b[i] = b[i-1];
}
a[k] = aval;
b[k] = bval;
}
template<class S, class T, class U> inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval){
int i;
sz++;
for(i=sz-1;i>k;i--){
a[i] = a[i-1];
}
for(i=sz-1;i>k;i--){
b[i] = b[i-1];
}
for(i=sz-1;i>k;i--){
c[i] = c[i-1];
}
a[k] = aval;
b[k] = bval;
c[k] = cval;
}
template<class S, class T, class U, class V> inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval, V d[], const V dval){
int i;
sz++;
for(i=sz-1;i>k;i--){
a[i] = a[i-1];
}
for(i=sz-1;i>k;i--){
b[i] = b[i-1];
}
for(i=sz-1;i>k;i--){
c[i] = c[i-1];
}
for(i=sz-1;i>k;i--){
d[i] = d[i-1];
}
a[k] = aval;
b[k] = bval;
c[k] = cval;
d[k] = dval;
}
template<class S, class T> inline S chmin(S &a, T b){
if(a>b){
a=b;
}
return a;
}
template<class S, class T> inline S chmax(S &a, T b){
if(a<b){
a=b;
}
return a;
}
int N;
int C;
int Q;
int A[30000];
int X;
long long Y;
long long cnt[5][30000+2];
int sz;
int lis[5];
int ind[5];
int usz[30000+2];
int ulis[30000+2][5];
int dsz[30000+2];
int dlis[30000+2][5];
long long skipL[5][30000+2];
long long skipR[5][30000+2];
long long skipV[5][30000+2];
int skip = 150;
long long skip2L[5][30000+2];
long long skip2R[5][30000+2];
long long skip2V[5][30000+2];
int skip2 = 30;
int main(){
int t_ynMSdg;
wmem = memarr;
int i;
int j;
int k;
int c;
for(i=(0);i<(5);i++){
cnt[i][0] = 1;
}
for(i=(0);i<(5);i++){
for(k=(0);k<(30000);k++){
for(j=(0);j<(min_L(k, i)+1);j++){
cnt[i][k+1] += cnt[i-j][k-j];
if(cnt[i][k+1] > 2000000000000000000LL){
cnt[i][k+1] = 2000000000000000000LL;
}
}
}
}
int KrdatlYV = rd_int();
for(t_ynMSdg=(0);t_ynMSdg<(KrdatlYV);t_ynMSdg++){
int dtiCQK_a;
rd(N);
rd(C);
rd(Q);
{
int a2conNHc;
for(a2conNHc=(0);a2conNHc<(N);a2conNHc++){
rd(A[a2conNHc]);
}
}
for(k=(0);k<(N);k++){
sz = 0;
for(i=(0);i<(C+1);i++){
if(k+i < N){
arrInsert(sz, sz, ind, i, lis, A[k+i]);
}
}
sortA_L(sz, lis, ind);
j = usz[k] = dsz[k] = 0;
for(i=(0);i<(sz);i++){
if(ind[i] == 0){
j++;
continue;
}
if(j==0){
ulis[k][usz[k]++] = ind[i];
}
if(j==1){
dlis[k][dsz[k]++] = ind[i];
}
}
}
for(k=(0);k<(N);k++){
for(c=(0);c<(C+1);c++){
long long sm = 0;
skipL[c][k] = -4611686016279904256LL;
skipR[c][k] = 4611686016279904256LL;
if(k+skip+5 >= N){
swap(skipL[c][k], skipR[c][k]);
continue;
}
for(j=(k);j<(k+skip);j++){
for(i=(0);i<(usz[j]);i++){
if(c >= ulis[j][i]){
sm += cnt[c-ulis[j][i]][N-j-ulis[j][i]-1];
}
}
if(sm > 4611686016279904256LL){
sm = 2000000000000000000LL;
}
chmax(skipL[c][k], sm);
chmin(skipR[c][k], sm + cnt[c][N-j-1]);
}
skipV[c][k] = sm;
}
}
for(k=(0);k<(N);k++){
for(c=(0);c<(C+1);c++){
long long sm = 0;
skip2L[c][k] = -4611686016279904256LL;
skip2R[c][k] = 4611686016279904256LL;
if(k+skip2+5 >= N){
swap(skip2L[c][k], skip2R[c][k]);
continue;
}
for(j=(k);j<(k+skip2);j++){
for(i=(0);i<(usz[j]);i++){
if(c >= ulis[j][i]){
sm += cnt[c-ulis[j][i]][N-j-ulis[j][i]-1];
}
}
if(sm > 4611686016279904256LL){
sm = 2000000000000000000LL;
}
chmax(skip2L[c][k], sm);
chmin(skip2R[c][k], sm + cnt[c][N-j-1]);
}
skip2V[c][k] = sm;
}
}
for(dtiCQK_a=(0);dtiCQK_a<(Q);dtiCQK_a++){
rd(X);X += (-1);
rd(Y);Y += (-1);
if(Y >= cnt[C][N]){
wt_L(-1);
wt_L('\n');
continue;
}
c = C;
for(k=(0);k<(N);k++){
if(skipL[c][k] <= Y && Y < skipR[c][k]){
if(X < k + skip){
wt_L(A[X]);
wt_L('\n');
break;
}
Y -= skipV[c][k];
k += skip - 1;
continue;
}
if(skip2L[c][k] <= Y && Y < skip2R[c][k]){
if(X < k + skip2){
wt_L(A[X]);
wt_L('\n');
break;
}
Y -= skip2V[c][k];
k += skip2 - 1;
continue;
}
for(i=(0);i<(usz[k]);i++){
if(c >= ulis[k][i]){
if(Y < cnt[c-ulis[k][i]][N-k-ulis[k][i]-1]){
if(X <= k + ulis[k][i]){
wt_L(A[k+ulis[k][i]-(X-k)]);
wt_L('\n');
goto qE8LMwYZ;
}
c -= ulis[k][i];
k += ulis[k][i];
goto lQU550vz;
}
else{
Y -= cnt[c-ulis[k][i]][N-k-ulis[k][i]-1];
}
}
}
if(Y < cnt[c][N-k-1]){
if(X == k){
wt_L(A[k]);
wt_L('\n');
break;
}
continue;
}
else{
Y -= cnt[c][N-k-1];
}
for(i=(0);i<(dsz[k]);i++){
if(c >= dlis[k][i]){
if(Y < cnt[c-dlis[k][i]][N-k-dlis[k][i]-1]){
if(X <= k + dlis[k][i]){
wt_L(A[k+dlis[k][i]-(X-k)]);
wt_L('\n');
goto qE8LMwYZ;
}
c -= dlis[k][i];
k += dlis[k][i];
goto lQU550vz;
}
else{
Y -= cnt[c-dlis[k][i]][N-k-dlis[k][i]-1];
}
}
}
lQU550vz:;
}
qE8LMwYZ:;
}
}
return 0;
}
// cLay version 20210103-1
// --- original code ---
// //no-unlocked
// int N, C, Q, A[3d4], X; ll Y;
// ll cnt[5][3d4+2];
// int sz, lis[5], ind[5];
// int usz[3d4+2], ulis[3d4+2][5];
// int dsz[3d4+2], dlis[3d4+2][5];
// ll skipL[5][3d4+2], skipR[5][3d4+2], skipV[5][3d4+2]; int skip = 150;
// ll skip2L[5][3d4+2], skip2R[5][3d4+2], skip2V[5][3d4+2]; int skip2 = 30;
// {
// int i, j, k, c;
// rep(i,5) cnt[i][0] = 1;
// rep(i,5) rep(k,3d4) rep(j,min(k,i)+1){
// cnt[i][k+1] += cnt[i-j][k-j];
// if(cnt[i][k+1] > 2d18) cnt[i][k+1] = 2d18;
// }
// REP(rd_int()){
// rd(N,C,Q,A(N));
//
// rep(k,N){
// sz = 0;
// rep(i,C+1) if(k+i < N) arrInsert(sz, sz, ind, i, lis, A[k+i]);
// sortA(sz, lis, ind);
// j = usz[k] = dsz[k] = 0;
// rep(i,sz){
// if(ind[i] == 0) j++, continue;
// if(j==0) ulis[k][usz[k]++] = ind[i];
// if(j==1) dlis[k][dsz[k]++] = ind[i];
// }
// }
//
// rep(k,N) rep(c,C+1){
// ll sm = 0;
// skipL[c][k] = -ll_inf;
// skipR[c][k] = ll_inf;
// if(k+skip+5 >= N) swap(skipL[c][k], skipR[c][k]), continue;
// rep(j,k,k+skip){
// rep(i,usz[j]) if(c >= ulis[j][i]) sm += cnt[c-ulis[j][i]][N-j-ulis[j][i]-1];
// if(sm > ll_inf) sm = 2d18;
// skipL[c][k] >?= sm;
// skipR[c][k] <?= sm + cnt[c][N-j-1];
// }
// skipV[c][k] = sm;
// }
//
// rep(k,N) rep(c,C+1){
// ll sm = 0;
// skip2L[c][k] = -ll_inf;
// skip2R[c][k] = ll_inf;
// if(k+skip2+5 >= N) swap(skip2L[c][k], skip2R[c][k]), continue;
// rep(j,k,k+skip2){
// rep(i,usz[j]) if(c >= ulis[j][i]) sm += cnt[c-ulis[j][i]][N-j-ulis[j][i]-1];
// if(sm > ll_inf) sm = 2d18;
// skip2L[c][k] >?= sm;
// skip2R[c][k] <?= sm + cnt[c][N-j-1];
// }
// skip2V[c][k] = sm;
// }
//
// rep(Q){
// rd(X--, Y--);
// if(Y >= cnt[C][N]) wt(-1), continue;
// c = C;
// rep(k,N){
// if(skipL[c][k] <= Y < skipR[c][k]){
// if(X < k + skip) wt(A[X]), break;
// Y -= skipV[c][k];
// k += skip - 1;
// continue;
// }
// if(skip2L[c][k] <= Y < skip2R[c][k]){
// if(X < k + skip2) wt(A[X]), break;
// Y -= skip2V[c][k];
// k += skip2 - 1;
// continue;
// }
// rep(i,usz[k]) if(c >= ulis[k][i]){
// if(Y < cnt[c-ulis[k][i]][N-k-ulis[k][i]-1]){
// if(X <= k + ulis[k][i]) wt(A[k+ulis[k][i]-(X-k)]), break_break;
// c -= ulis[k][i];
// k += ulis[k][i];
// break_continue;
// } else {
// Y -= cnt[c-ulis[k][i]][N-k-ulis[k][i]-1];
// }
// }
// if(Y < cnt[c][N-k-1]){
// if(X == k) wt(A[k]), break;
// continue;
// } else {
// Y -= cnt[c][N-k-1];
// }
// rep(i,dsz[k]) if(c >= dlis[k][i]){
// if(Y < cnt[c-dlis[k][i]][N-k-dlis[k][i]-1]){
// if(X <= k + dlis[k][i]) wt(A[k+dlis[k][i]-(X-k)]), break_break;
// c -= dlis[k][i];
// k += dlis[k][i];
// break_continue;
// } else {
// Y -= cnt[c-dlis[k][i]][N-k-dlis[k][i]-1];
// }
// }
// }
// }
// }
// }
| 2C++
| {
"input": [
"2\n3 1 9\n1 2 3\n1 1\n2 1\n3 1\n1 2\n2 2\n3 2\n1 3\n2 3\n3 3\n6 4 4\n6 5 4 3 1 2\n1 1\n3 14\n1 59\n2 6\n",
"1\n12 4 2\n1 2 3 4 5 6 7 8 9 10 11 12\n2 20\n2 21\n",
"1\n10 2 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 31\n3 46\n10 42\n7 19\n9 36\n7 3\n3 13\n8 32\n10 25\n9 34\n10 34\n6 33\n3 9\n2 17\n4 5\n10 44\n9 15\n5 40\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n1 1 4\n1\n1 1\n1 2\n1 3\n1 4\n",
"1\n10 1 1\n10 4 6 5 7 9 8 1 3 2\n6 10\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n1 1 4\n1\n1 1\n1 2\n1 3\n1 7\n",
"1\n10 1 1\n10 4 6 5 12 9 8 1 3 2\n6 10\n",
"1\n12 4 2\n1 2 3 4 5 6 13 8 9 10 11 12\n2 20\n2 21\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n10 1 1\n10 4 12 5 0 9 8 1 3 0\n6 15\n",
"1\n10 2 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 31\n3 46\n10 42\n7 19\n9 36\n7 3\n3 13\n8 32\n10 25\n9 34\n10 34\n6 33\n3 9\n2 17\n3 5\n10 44\n9 15\n5 40\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n1 1 4\n2\n1 1\n1 2\n1 3\n1 4\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n10 2 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 31\n3 46\n10 42\n7 19\n9 36\n7 3\n3 23\n8 32\n10 25\n9 34\n10 34\n6 33\n3 9\n2 17\n3 5\n10 44\n9 8\n5 40\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n10 2 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 31\n3 46\n10 42\n7 19\n9 36\n7 3\n3 23\n8 32\n10 25\n9 34\n10 34\n6 33\n2 9\n2 17\n3 5\n10 44\n9 8\n5 40\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n7 1 1\n10 0 12 5 0 9 8 1 4 0\n6 6\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 41 47 20 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n38 35\n41 17\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 73 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n16 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n10 2 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 31\n3 46\n10 42\n7 19\n9 36\n7 3\n3 13\n8 32\n10 25\n9 34\n10 34\n6 17\n3 9\n2 17\n4 5\n10 44\n9 15\n5 40\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 2 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n1 1 2\n1\n1 1\n1 2\n1 3\n1 4\n",
"2\n3 1 9\n1 2 3\n2 1\n2 1\n3 1\n1 2\n2 2\n3 2\n1 3\n2 3\n3 3\n6 4 4\n6 5 4 3 1 2\n1 1\n3 14\n1 59\n2 6\n",
"1\n10 1 1\n10 4 6 5 12 14 8 1 3 2\n6 10\n",
"1\n12 4 2\n1 2 3 4 5 6 13 8 9 10 11 12\n2 20\n4 21\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n22 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 77 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n6 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n10 2 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 31\n3 46\n10 42\n7 19\n9 46\n7 3\n3 23\n8 32\n10 25\n9 34\n10 34\n6 33\n3 9\n2 17\n3 5\n10 44\n9 8\n5 40\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 17 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 42\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 24\n17 38\n30 32\n",
"1\n10 4 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 31\n3 46\n10 42\n7 19\n9 36\n7 3\n3 23\n8 32\n10 25\n9 34\n10 34\n6 33\n2 9\n2 17\n3 5\n10 44\n9 8\n5 40\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 9 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 7\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 42\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 1 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 4\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n18 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 45\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n30 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n34 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 23 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 20 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 20 2 82 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n38 35\n41 17\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 37 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 64 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 23 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n28 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 73 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 3\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n16 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 31\n30 12\n",
"1\n10 2 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 51\n3 46\n10 42\n7 19\n9 36\n7 3\n3 13\n8 32\n10 25\n9 34\n10 34\n6 17\n3 9\n2 17\n4 5\n10 44\n9 15\n5 40\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 2 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 7\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n10 1 1\n10 4 6 5 4 9 8 1 3 2\n10 10\n",
"1\n8 1 1\n10 4 6 5 12 14 8 1 3 2\n6 10\n",
"1\n12 4 2\n1 0 3 4 5 6 13 8 9 10 11 12\n2 20\n4 21\n",
"1\n10 1 1\n10 4 12 5 1 9 8 1 3 0\n3 10\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 13 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n22 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 77 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n7 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 3\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n6 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n9 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 12 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 17 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 42\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 4\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 24\n17 38\n30 32\n",
"1\n10 4 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 31\n3 46\n10 42\n7 19\n9 31\n7 3\n3 23\n8 32\n10 25\n9 34\n10 34\n6 33\n2 9\n2 17\n3 5\n10 44\n9 8\n5 40\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 1 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n10 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 4\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n5 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 59\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n18 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 45\n6 2\n31 31\n26 6\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n30 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 73\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 20 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n24 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 64 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n12 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 73 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 3\n24 41\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n16 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 31\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 2 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 15\n21 8\n43 23\n8 7\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n10 1 1\n10 4 6 5 4 9 8 1 3 1\n10 10\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 13 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n22 23\n8 5\n25 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 77 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 8\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n7 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 3\n32 32\n3 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n6 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 13 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 22 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n4 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n9 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n36 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 19 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 12 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 17 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n34 9\n14 7\n7 3\n21 36\n32 42\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 4\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n45 24\n16 70\n45 21\n36 28\n36 24\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n1 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 4\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n5 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 59\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 56\n47 19\n18 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 23 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 2\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 80\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 20 2 46 16 23 5 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n24 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 64 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 9 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n12 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 62 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 23\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n28 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 2 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 15\n21 8\n43 23\n8 7\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n8 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 77 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 8\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n7 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n26 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 6 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n9 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n36 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 19 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 14\n36 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 4\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n45 24\n16 70\n45 21\n36 28\n36 24\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 1 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n10 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 2\n21 36\n13 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 56 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 18\n8 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 45\n6 2\n31 31\n26 6\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 35 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 26\n8 4\n47 20\n22 10\n37 27\n17 39\n30 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 73\n30 32\n",
"1\n7 1 1\n15 1 12 9 0 15 8 1 6 0\n6 8\n",
"1\n47 1 47\n40 45 19 10 44 23 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 58 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 2\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 80\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 20 2 46 16 23 5 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n24 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 58\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 64 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 34 37 39 6 9 1 9 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n12 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 62 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 23\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n28 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 27\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 73 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 15\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 9\n8 3\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n16 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n3 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 64 47 12 2 46 16 23 2 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 15\n21 8\n43 23\n8 7\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n8 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n8 1 1\n10 4 6 10 12 22 8 0 3 2\n6 10\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 10 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 33\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 10\n7 3\n21 36\n32 30\n47 19\n3 43\n6 4\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 4 21 28 31 42 22 18 35 38 18 13 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 21\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n22 23\n8 5\n25 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n10 2 1\n10 4 12 0 7 14 16 1 3 2\n6 15\n",
"1\n47 1 47\n40 45 19 10 44 41 47 22 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 13 4 34 5 20 37 39 6 9 1 7 29 8 17 15 30 11 13 41 22 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n4 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 6 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n9 3\n21 36\n38 30\n47 19\n11 43\n6 2\n31 31\n36 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 19 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 6\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 14\n36 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 4\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n2 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n45 24\n16 70\n45 21\n36 28\n36 24\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 1 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n10 27\n17 39\n43 46\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 2\n21 36\n13 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 56 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 18\n8 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 45\n6 2\n31 31\n26 6\n47 20\n2 2\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 20 2 46 16 23 5 14 21 28 31 42 22 20 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n24 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 58\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 37 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 26 4 34 10 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 4\n7 3\n26 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 64 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 47 4 34 5 34 37 39 6 9 1 9 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n12 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 3\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 62 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 10\n30 23\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n28 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 27\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 73 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 15\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 9\n8 3\n47 20\n22 19\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n16 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n3 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 26 18 35 38 24 25 36 77 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 8\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 6\n7 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n26 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n10 1 1\n10 6 12 5 12 9 13 2 3 2\n3 7\n",
"1\n47 1 47\n40 45 19 10 44 41 47 22 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 13 4 34 5 20 37 39 6 9 1 7 29 8 17 15 30 11 13 41 22 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n4 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n4 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 19 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 6\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n23 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 14\n36 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 4\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 1\n2 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n45 24\n16 70\n45 21\n36 28\n36 24\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 1 23 3 14 21 28 45 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n10 27\n17 39\n43 46\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 2\n21 36\n13 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 32 4 34 5 20 37 56 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 18\n8 5\n29 13\n8 4\n47 20\n40 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 45\n6 2\n31 31\n26 6\n47 20\n2 2\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n9 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 35 4 34 5 20 37 39 6 9 2 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 26\n8 4\n47 20\n22 10\n37 27\n17 39\n30 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 73\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 23 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 58 4 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 2\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 11\n7 3\n21 36\n32 30\n47 19\n11 80\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 67 47 20 2 46 16 23 5 14 21 28 31 42 22 20 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n24 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 58\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 10 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 9 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 33\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 10\n7 3\n21 36\n32 30\n47 19\n3 43\n6 4\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 11\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 26 18 35 38 24 25 36 77 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 8\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 6\n7 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n26 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n15 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 22 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 13 4 34 5 20 37 39 6 9 1 7 29 8 17 15 30 11 13 41 22 43 26\n39 25\n9 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n4 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n4 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 28 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 6 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 26\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n9 3\n21 36\n38 30\n47 19\n11 43\n6 2\n31 31\n36 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 19 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 6\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n23 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 14\n7 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 4\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 1\n2 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n45 24\n16 70\n45 21\n36 53\n36 24\n17 38\n30 32\n",
"1\n47 1 47\n40 71 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 34 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n1 6\n30 13\n20 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 4\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 7\n16 40\n5 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n9 45 19 10 44 20 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 35 4 34 5 20 37 39 6 9 2 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 26\n8 4\n47 20\n22 10\n37 27\n17 39\n30 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 73\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 23 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 32 4 58 4 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 85\n21 2\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 11\n7 3\n21 36\n32 30\n47 19\n11 80\n6 2\n31 31\n26 12\n47 20\n2 1\n26 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 67 47 20 2 46 16 23 5 14 21 28 31 42 22 20 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 7\n30 13\n24 35\n41 17\n24 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 58\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 73 33 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 15\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n32 9\n8 3\n47 20\n22 19\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 42\n31 8\n8 32\n20 9\n3 2\n20 9\n16 7\n7 1\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n3 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 26 18 35 5 24 25 36 77 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 8\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 6\n7 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n26 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n15 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 22 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 13 4 34 5 20 37 39 6 9 1 7 29 8 17 15 30 11 13 41 22 43 26\n39 25\n9 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n4 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n4 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n31 38\n30 31\n",
"1\n47 1 47\n40 45 28 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 6 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 3\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 26\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n9 3\n21 36\n38 30\n47 19\n11 43\n6 2\n31 31\n36 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 19 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 23\n32 30\n10 6\n30 13\n24 35\n41 6\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n23 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 14\n7 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 49 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 4\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 1\n2 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n45 24\n16 70\n45 21\n36 53\n36 24\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 1 23 3 14 21 28 45 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 48 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n10 27\n17 39\n43 46\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 2\n21 36\n13 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 89\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 71 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 34 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 30\n39 25\n41 24\n32 30\n1 6\n30 13\n20 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 4\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 7\n16 40\n5 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n9 45 19 10 44 20 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 35 4 34 5 20 37 39 6 9 2 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 36\n32 32\n10 6\n30 13\n21 35\n41 17\n31 31\n9 85\n21 8\n43 23\n8 5\n29 26\n8 4\n47 20\n22 10\n37 27\n17 39\n30 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 73\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 67 47 20 2 46 16 23 5 14 21 28 31 42 22 20 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 7\n30 13\n24 35\n41 17\n24 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 3\n14 42\n46 19\n43 22\n30 31\n24 58\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 64 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 47 4 34 5 34 37 39 6 9 1 9 29 8 17 27 33 11 13 41 15 43 9\n39 25\n41 36\n32 32\n10 10\n30 11\n24 35\n41 17\n31 31\n9 85\n21 11\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n12 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 15 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 26 18 35 5 24 25 36 77 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 8\n39 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 6\n7 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n26 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n15 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 22 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 13 3 34 5 20 37 39 6 9 1 7 29 8 17 15 30 11 13 41 22 43 26\n39 25\n9 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n4 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n4 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n31 38\n30 31\n",
"1\n47 1 47\n40 45 28 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 38 18 35 38 24 6 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 3\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 26\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n9 3\n21 36\n38 30\n47 19\n11 43\n6 2\n31 31\n36 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 19 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 23\n32 30\n10 6\n30 13\n24 35\n41 6\n31 31\n4 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n23 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 14\n7 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 49 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 4\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 1\n2 9\n14 7\n7 3\n9 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n45 24\n16 70\n45 21\n36 53\n36 24\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 1 23 3 14 21 28 45 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 48 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n10 27\n17 39\n43 46\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 18\n20 9\n3 2\n20 9\n14 7\n7 2\n21 36\n13 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 89\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 45 19 10 44 99 47 20 2 46 16 23 5 14 21 28 31 42 22 20 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 7\n30 13\n24 35\n41 17\n24 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 48\n17 39\n43 3\n14 42\n46 19\n43 22\n30 31\n24 58\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 64 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 47 4 34 5 34 37 39 6 9 1 9 29 16 17 27 33 11 13 41 15 43 9\n39 25\n41 36\n32 32\n10 10\n30 11\n24 35\n41 17\n31 31\n9 85\n21 11\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n12 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 73 33 47 12 2 46 16 23 3 14 21 39 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 15\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 14\n43 23\n8 5\n32 9\n8 3\n47 20\n22 19\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 42\n31 8\n8 32\n20 9\n3 2\n20 9\n16 7\n7 1\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n3 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 44 41 47 22 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 36 13 3 34 5 20 37 39 6 9 1 7 29 8 17 15 30 11 13 41 22 43 26\n39 25\n9 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n4 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n4 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n31 38\n16 31\n",
"1\n47 1 47\n40 45 28 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 38 18 35 38 24 6 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 3\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 26\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n9 3\n21 36\n38 30\n47 19\n11 43\n6 2\n31 31\n36 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n32 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 5 14 21 28 31 42 22 19 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 23\n32 30\n10 6\n30 13\n24 35\n41 6\n31 31\n4 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n23 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 14\n7 28\n17 38\n30 42\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 49 30 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 4\n31 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 32\n20 9\n3 1\n2 9\n14 7\n7 3\n9 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n45 24\n16 70\n45 21\n36 53\n36 24\n17 38\n22 32\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 1 23 3 14 21 28 45 42 22 18 35 38 24 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 48 11 13 41 15 43 26\n39 25\n41 24\n32 32\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n10 27\n17 39\n43 46\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n31 18\n15 9\n3 2\n20 9\n14 7\n7 2\n21 36\n13 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 89\n45 21\n36 28\n36 28\n17 38\n30 32\n",
"1\n47 1 47\n40 71 19 10 44 41 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 18 25 34 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 30\n39 25\n41 24\n32 30\n1 6\n30 13\n20 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 1\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 22\n30 31\n24 35\n31 13\n31 32\n20 4\n3 2\n20 2\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 7\n16 40\n5 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 99 47 20 2 46 16 23 5 14 21 28 31 42 22 20 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 22 15 43 26\n39 25\n41 24\n32 30\n10 7\n30 13\n24 35\n41 17\n24 31\n9 44\n21 8\n43 23\n16 5\n29 13\n8 4\n47 20\n24 10\n37 48\n17 39\n43 3\n14 42\n46 19\n43 22\n30 31\n24 58\n31 13\n31 32\n20 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 39\n36 28\n36 28\n17 38\n30 31\n",
"1\n47 1 47\n40 45 19 10 44 64 47 12 2 46 16 23 3 14 21 28 30 42 22 18 35 38 24 25 36 47 4 34 5 34 37 39 6 9 1 9 29 16 17 27 33 11 13 41 15 43 10\n39 25\n41 36\n32 32\n10 10\n30 11\n24 35\n41 17\n31 31\n9 85\n21 11\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 45\n24 35\n31 8\n8 32\n20 9\n3 2\n20 9\n14 7\n12 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n47 1 47\n40 45 19 10 73 33 47 12 2 46 16 23 3 14 21 39 30 42 22 18 35 38 5 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 33 11 13 41 15 43 26\n39 25\n41 15\n32 32\n10 10\n30 13\n24 35\n41 17\n31 31\n9 85\n21 14\n43 23\n8 5\n32 9\n8 3\n47 20\n22 19\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n8 45\n24 42\n1 8\n8 32\n20 9\n3 2\n20 9\n16 7\n7 1\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n3 70\n45 21\n36 28\n36 28\n17 38\n30 12\n",
"1\n10 1 1\n2 4 12 0 2 24 16 0 3 2\n6 1\n",
"1\n47 1 47\n40 45 19 10 44 41 47 22 2 46 16 23 3 14 21 28 31 42 22 18 12 38 18 25 36 13 3 34 5 20 37 39 6 9 1 7 29 8 17 15 30 11 13 41 22 43 26\n39 25\n9 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n4 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n4 13\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n31 38\n16 31\n",
"1\n47 1 47\n40 45 28 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 38 18 35 38 24 6 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 3\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 26\n30 31\n24 35\n31 8\n31 32\n20 12\n3 2\n20 9\n14 7\n9 3\n21 36\n38 30\n47 19\n11 43\n6 2\n31 31\n36 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n32 38\n8 31\n",
"1\n47 1 47\n40 45 19 10 44 41 47 12 2 46 16 23 5 14 21 28 31 42 22 19 35 38 18 25 36 32 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n39 25\n41 23\n32 30\n10 6\n30 13\n24 35\n41 6\n31 31\n4 44\n21 8\n43 23\n8 5\n29 13\n8 2\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n17 13\n31 32\n23 9\n3 2\n20 1\n14 7\n7 3\n21 36\n32 30\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 14\n7 28\n17 38\n30 42\n",
"1\n10 1 1\n10 4 12 5 12 9 8 1 3 2\n6 10\n",
"1\n10 1 1\n10 4 12 5 0 9 8 1 3 2\n6 10\n",
"1\n10 1 1\n10 4 12 5 0 9 8 1 3 0\n6 10\n",
"1\n10 1 1\n10 4 6 5 7 9 16 1 3 2\n6 10\n",
"1\n10 1 1\n10 4 12 5 12 9 8 1 3 2\n6 5\n",
"1\n10 1 1\n17 4 12 5 0 9 8 1 3 2\n6 10\n",
"1\n10 1 1\n10 4 12 5 0 9 8 1 4 0\n6 15\n",
"1\n10 2 20\n8 5 2 4 10 3 9 7 1 6\n5 10\n3 17\n6 31\n3 46\n10 42\n7 19\n9 36\n7 3\n3 13\n8 32\n10 25\n9 34\n10 34\n6 33\n3 9\n2 17\n3 5\n10 44\n9 8\n5 40\n",
"1\n10 1 1\n10 4 6 5 7 9 16 0 3 2\n6 10\n",
"1\n10 1 1\n10 4 12 5 0 9 8 1 4 0\n6 6\n",
"1\n10 1 1\n10 4 6 5 13 9 16 0 3 2\n6 10\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 24\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 42\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n",
"1\n10 1 1\n10 0 12 5 0 9 8 1 4 0\n6 6\n",
"1\n10 1 1\n10 4 6 5 13 9 16 0 3 2\n6 9\n",
"1\n47 1 47\n40 45 19 10 44 33 47 12 2 46 16 23 3 14 21 28 31 42 22 18 35 38 24 25 36 39 4 34 5 20 37 39 6 9 1 7 29 8 17 27 30 11 13 41 15 43 26\n18 25\n41 7\n32 30\n10 6\n30 13\n24 35\n41 17\n31 31\n9 44\n21 8\n43 23\n8 5\n29 13\n8 4\n47 20\n22 10\n37 27\n17 39\n43 23\n14 42\n46 19\n43 24\n30 31\n24 35\n31 8\n31 32\n20 9\n3 2\n20 9\n14 7\n7 3\n21 36\n32 42\n47 19\n11 43\n6 2\n31 31\n26 12\n47 20\n2 1\n40 24\n16 40\n45 21\n36 28\n36 28\n17 38\n30 31\n"
],
"output": [
"\n1\n2\n3\n1\n3\n2\n2\n1\n3\n1\n4\n-1\n5\n",
"\n2\n2\n",
"3\n2\n7\n10\n6\n7\n7\n7\n5\n1\n6\n6\n1\n9\n4\n4\n4\n1\n1\n3\n",
"27\n27\n37\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n37\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"1\n-1\n-1\n-1\n",
"9\n",
"27\n27\n37\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n37\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"1\n-1\n-1\n-1\n",
"9\n",
"2\n2\n",
"27\n27\n37\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"-1\n",
"3\n2\n7\n10\n6\n7\n7\n7\n5\n1\n6\n6\n1\n9\n4\n4\n2\n1\n1\n3\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"2\n-1\n-1\n-1\n",
"8\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n15\n7\n7\n42\n5\n",
"27\n27\n39\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"42\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n15\n7\n7\n42\n5\n",
"27\n27\n39\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n37\n",
"3\n2\n7\n10\n6\n7\n7\n7\n2\n1\n6\n6\n1\n9\n4\n4\n2\n1\n1\n3\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n27\n39\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"3\n2\n7\n10\n6\n7\n7\n7\n2\n1\n6\n6\n1\n9\n8\n4\n2\n1\n1\n3\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n41\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"10\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n27\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n30\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n33\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n5\n",
"27\n33\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n27\n37\n16\n20\n8\n11\n20\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n33\n39\n46\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n33\n39\n46\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n12\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n5\n7\n28\n11\n3\n26\n13\n20\n5\n37\n12\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n47\n26\n5\n7\n28\n11\n3\n26\n13\n20\n5\n37\n12\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n47\n26\n5\n7\n28\n11\n3\n26\n13\n12\n5\n37\n12\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n47\n26\n5\n7\n28\n11\n3\n26\n13\n12\n5\n37\n12\n22\n10\n22\n28\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"3\n2\n7\n10\n6\n7\n7\n7\n5\n1\n6\n6\n1\n3\n4\n4\n4\n1\n1\n3\n",
"27\n27\n37\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n2\n26\n13\n37\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"1\n-1\n",
"2\n2\n3\n1\n3\n2\n2\n1\n3\n1\n4\n-1\n5\n",
"14\n",
"2\n4\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n38\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"8\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n77\n26\n19\n17\n21\n15\n7\n7\n42\n5\n",
"27\n27\n39\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n33\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"42\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n18\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n15\n7\n7\n42\n5\n",
"3\n2\n7\n10\n6\n7\n1\n7\n2\n1\n6\n6\n1\n9\n4\n4\n2\n1\n1\n3\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n20\n",
"42\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n17\n7\n7\n42\n5\n",
"27\n27\n39\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n7\n42\n5\n",
"10\n8\n4\n2\n6\n9\n7\n9\n5\n7\n6\n1\n6\n10\n5\n5\n8\n6\n1\n7\n",
"42\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n9\n47\n26\n24\n29\n28\n13\n3\n43\n13\n9\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n15\n7\n7\n42\n9\n",
"27\n27\n39\n1\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n22\n37\n18\n37\n37\n18\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n27\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n42\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n16\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n30\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n20\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n9\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n33\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n23\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"27\n27\n37\n16\n20\n8\n11\n20\n82\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n33\n39\n46\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n37\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n33\n39\n46\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n12\n22\n10\n22\n14\n64\n38\n37\n43\n23\n64\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"17\n33\n39\n46\n20\n36\n33\n39\n-1\n35\n41\n2\n5\n47\n43\n38\n29\n28\n41\n3\n43\n11\n20\n36\n37\n12\n18\n10\n18\n14\n47\n35\n39\n26\n23\n33\n39\n36\n43\n19\n27\n-1\n15\n29\n29\n30\n20\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n47\n26\n5\n7\n28\n11\n3\n26\n13\n12\n5\n37\n12\n22\n10\n22\n34\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n47\n26\n5\n7\n28\n11\n3\n26\n13\n12\n5\n37\n12\n22\n10\n22\n28\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n30\n20\n",
"3\n2\n-1\n10\n6\n7\n7\n7\n5\n1\n6\n6\n1\n3\n4\n4\n4\n1\n1\n3\n",
"27\n27\n37\n16\n20\n24\n11\n20\n46\n35\n11\n12\n34\n47\n26\n24\n7\n28\n11\n2\n26\n13\n37\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"2\n",
"5\n",
"1\n4\n",
"4\n",
"17\n30\n39\n16\n20\n36\n30\n39\n46\n35\n38\n2\n5\n47\n43\n18\n29\n28\n41\n3\n43\n11\n20\n36\n37\n20\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n39\n36\n43\n19\n27\n21\n15\n29\n29\n42\n20\n",
"8\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n12\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n77\n26\n19\n17\n21\n15\n7\n7\n42\n5\n",
"27\n30\n39\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n33\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"42\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n18\n10\n22\n14\n2\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n15\n7\n7\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n31\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n20\n",
"42\n30\n39\n12\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n17\n7\n7\n42\n5\n",
"27\n27\n39\n16\n20\n24\n30\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n7\n42\n5\n",
"10\n8\n4\n2\n6\n9\n1\n9\n5\n7\n6\n1\n6\n10\n5\n5\n8\n6\n1\n7\n",
"27\n27\n39\n1\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n46\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n22\n37\n18\n37\n37\n18\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n44\n1\n1\n42\n37\n",
"27\n27\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n-1\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n42\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n16\n41\n20\n32\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n30\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n20\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n-1\n5\n",
"27\n27\n37\n16\n20\n18\n11\n25\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"27\n33\n39\n46\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n12\n22\n10\n22\n14\n23\n38\n37\n43\n23\n64\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n33\n39\n46\n20\n25\n11\n20\n-1\n35\n11\n2\n39\n47\n26\n5\n7\n28\n11\n3\n26\n13\n12\n5\n37\n12\n22\n10\n22\n28\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n30\n20\n",
"27\n27\n37\n16\n20\n24\n11\n20\n2\n35\n11\n12\n34\n47\n26\n24\n7\n28\n11\n2\n26\n13\n37\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"1\n",
"17\n30\n39\n16\n20\n36\n30\n39\n46\n35\n38\n2\n36\n47\n43\n18\n29\n28\n41\n3\n43\n11\n20\n36\n37\n20\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n39\n36\n43\n19\n27\n21\n15\n29\n29\n42\n20\n",
"8\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n12\n8\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n8\n23\n33\n37\n77\n8\n19\n17\n21\n15\n7\n7\n42\n5\n",
"27\n30\n39\n19\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n33\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n10\n7\n28\n11\n3\n26\n13\n37\n18\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"42\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n18\n10\n22\n14\n2\n38\n39\n26\n23\n33\n37\n7\n26\n19\n17\n21\n15\n7\n7\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n31\n37\n22\n10\n19\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n20\n",
"42\n30\n39\n12\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n9\n14\n47\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n17\n7\n7\n42\n5\n",
"27\n27\n39\n16\n20\n24\n30\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n15\n-1\n43\n1\n7\n42\n5\n",
"27\n27\n37\n40\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n22\n37\n18\n37\n37\n18\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n44\n1\n1\n42\n37\n",
"27\n27\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n-1\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n-1\n43\n42\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n33\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n-1\n23\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n25\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n5\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"27\n33\n39\n46\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n9\n28\n11\n3\n26\n13\n20\n24\n37\n12\n22\n10\n22\n14\n23\n38\n37\n43\n23\n64\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n47\n26\n5\n7\n28\n11\n3\n26\n13\n12\n5\n37\n12\n22\n10\n22\n34\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n62\n20\n",
"27\n27\n37\n16\n20\n24\n11\n20\n2\n35\n11\n12\n34\n47\n26\n24\n7\n28\n11\n2\n26\n13\n37\n24\n37\n37\n22\n10\n12\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"8\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n12\n8\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n77\n10\n22\n14\n47\n38\n39\n8\n23\n33\n37\n77\n8\n19\n17\n21\n15\n7\n7\n42\n5\n",
"42\n27\n37\n16\n20\n36\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n37\n36\n37\n37\n18\n10\n22\n14\n2\n38\n37\n43\n23\n33\n20\n7\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n31\n37\n22\n10\n19\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n7\n1\n42\n20\n",
"27\n27\n39\n16\n20\n24\n30\n20\n46\n35\n11\n28\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n15\n-1\n43\n1\n7\n42\n5\n",
"27\n27\n39\n1\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n46\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n3\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n13\n2\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n16\n41\n20\n32\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n30\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n5\n47\n26\n24\n7\n28\n20\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n-1\n5\n",
"15\n",
"27\n33\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n58\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n-1\n23\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n25\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n5\n26\n22\n37\n-1\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"27\n33\n39\n46\n34\n24\n11\n34\n-1\n35\n11\n2\n34\n47\n26\n24\n9\n28\n11\n3\n26\n13\n34\n24\n37\n12\n22\n10\n22\n14\n23\n38\n37\n43\n23\n64\n34\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n34\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n47\n26\n5\n7\n28\n11\n3\n26\n13\n12\n5\n37\n12\n22\n10\n22\n34\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n29\n62\n20\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n12\n26\n5\n7\n28\n11\n3\n26\n13\n12\n5\n37\n12\n22\n10\n22\n28\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"27\n27\n37\n16\n20\n24\n11\n20\n2\n35\n11\n12\n34\n47\n26\n24\n7\n28\n11\n2\n26\n13\n37\n24\n37\n37\n22\n10\n12\n14\n64\n38\n37\n43\n23\n64\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"6\n",
"27\n27\n37\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n19\n33\n20\n4\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"17\n30\n39\n16\n20\n36\n30\n39\n46\n35\n38\n2\n36\n47\n43\n18\n29\n28\n41\n3\n43\n11\n20\n36\n37\n20\n22\n10\n22\n4\n47\n38\n39\n26\n23\n33\n39\n36\n43\n19\n27\n21\n15\n29\n29\n42\n20\n",
"7\n",
"17\n30\n37\n16\n20\n18\n30\n20\n46\n35\n41\n2\n34\n47\n43\n10\n7\n28\n41\n3\n43\n11\n37\n18\n37\n37\n22\n10\n22\n14\n47\n38\n37\n26\n23\n41\n20\n4\n43\n19\n15\n21\n22\n1\n1\n42\n37\n",
"42\n27\n37\n16\n20\n36\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n37\n36\n37\n37\n18\n10\n22\n14\n2\n38\n8\n43\n23\n33\n20\n7\n26\n19\n30\n21\n43\n1\n1\n42\n37\n",
"27\n27\n37\n16\n20\n18\n30\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n31\n37\n22\n10\n19\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n7\n1\n42\n20\n",
"27\n27\n39\n16\n20\n24\n30\n20\n46\n35\n11\n28\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n45\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n15\n-1\n43\n1\n7\n42\n5\n",
"27\n27\n39\n1\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n46\n28\n13\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n3\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n1\n1\n42\n5\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n13\n2\n34\n47\n26\n18\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n16\n41\n20\n32\n26\n45\n30\n21\n43\n1\n1\n42\n37\n",
"27\n27\n37\n16\n20\n18\n11\n25\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n5\n26\n22\n37\n-1\n37\n37\n22\n10\n20\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"27\n33\n39\n46\n20\n24\n11\n20\n-1\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n26\n37\n43\n23\n33\n20\n4\n26\n37\n33\n-1\n43\n1\n1\n42\n20\n",
"8\n33\n39\n46\n34\n24\n33\n37\n-1\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n34\n24\n37\n12\n22\n10\n22\n14\n23\n38\n39\n26\n23\n64\n37\n47\n26\n19\n17\n-1\n15\n9\n9\n42\n34\n",
"27\n33\n39\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n12\n26\n38\n7\n28\n11\n3\n26\n13\n12\n5\n37\n12\n22\n10\n22\n28\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"8\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n12\n8\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n77\n10\n26\n14\n47\n38\n39\n8\n23\n33\n37\n77\n8\n19\n17\n21\n15\n7\n7\n42\n5\n",
"12\n",
"17\n30\n37\n16\n20\n18\n30\n20\n46\n35\n41\n2\n34\n47\n43\n10\n7\n28\n41\n3\n43\n11\n37\n18\n10\n37\n22\n10\n22\n14\n47\n38\n37\n26\n23\n41\n20\n4\n43\n19\n15\n21\n22\n1\n1\n42\n37\n",
"27\n27\n37\n16\n20\n18\n30\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n31\n37\n18\n10\n19\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n7\n1\n42\n20\n",
"27\n27\n39\n16\n20\n24\n30\n20\n46\n35\n11\n28\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n45\n45\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n15\n-1\n43\n1\n7\n42\n5\n",
"17\n30\n39\n1\n20\n36\n30\n39\n46\n35\n41\n2\n5\n47\n43\n38\n46\n28\n13\n3\n43\n11\n20\n36\n37\n20\n18\n10\n18\n14\n47\n35\n3\n26\n23\n33\n39\n36\n43\n19\n27\n-1\n15\n29\n29\n45\n37\n",
"27\n27\n37\n16\n20\n18\n11\n20\n46\n35\n13\n2\n34\n47\n26\n27\n-1\n28\n11\n3\n26\n22\n37\n18\n37\n37\n22\n10\n18\n14\n47\n38\n37\n43\n16\n41\n20\n32\n26\n45\n30\n21\n43\n1\n1\n42\n37\n",
"27\n30\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n5\n47\n26\n24\n7\n28\n20\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n30\n-1\n43\n2\n2\n-1\n5\n",
"27\n33\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n58\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n-1\n23\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n4\n",
"27\n27\n37\n16\n20\n18\n11\n25\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n5\n26\n22\n37\n-1\n37\n37\n22\n10\n20\n14\n67\n38\n37\n43\n23\n67\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"27\n27\n37\n16\n20\n24\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n19\n33\n20\n4\n26\n19\n30\n21\n43\n1\n7\n42\n37\n",
"8\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n12\n8\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n77\n10\n26\n14\n47\n38\n39\n8\n21\n33\n37\n77\n8\n19\n17\n21\n15\n7\n7\n42\n5\n",
"17\n2\n37\n16\n20\n18\n30\n20\n46\n35\n41\n2\n34\n47\n43\n10\n7\n28\n41\n3\n43\n11\n37\n18\n10\n37\n22\n10\n22\n14\n47\n38\n37\n26\n23\n41\n20\n4\n43\n19\n15\n21\n22\n1\n1\n42\n37\n",
"42\n27\n37\n16\n20\n36\n11\n20\n46\n35\n11\n2\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n37\n36\n37\n37\n18\n10\n22\n14\n2\n38\n8\n43\n23\n33\n20\n7\n26\n28\n30\n21\n43\n1\n1\n42\n37\n",
"27\n27\n37\n16\n20\n18\n30\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n31\n37\n18\n10\n19\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n7\n47\n42\n20\n",
"27\n27\n39\n16\n20\n24\n30\n20\n46\n35\n11\n28\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n45\n45\n14\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n15\n-1\n43\n-1\n7\n42\n5\n",
"27\n27\n37\n40\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n22\n37\n18\n37\n37\n18\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n27\n21\n44\n1\n1\n42\n37\n",
"27\n30\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n5\n47\n26\n24\n7\n28\n20\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n20\n20\n4\n26\n19\n30\n-1\n43\n2\n2\n-1\n5\n",
"27\n33\n39\n16\n20\n24\n11\n20\n-1\n35\n11\n2\n58\n47\n26\n24\n7\n28\n11\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n-1\n23\n20\n4\n26\n19\n32\n-1\n43\n1\n1\n42\n4\n",
"27\n27\n37\n46\n20\n18\n11\n25\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n11\n5\n26\n22\n37\n-1\n37\n37\n22\n10\n20\n14\n67\n38\n37\n43\n23\n67\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"27\n33\n39\n46\n20\n5\n11\n20\n-1\n35\n11\n2\n39\n12\n26\n38\n7\n28\n11\n3\n26\n13\n12\n25\n37\n12\n22\n10\n22\n28\n47\n38\n37\n43\n23\n33\n20\n4\n26\n19\n33\n-1\n43\n1\n1\n42\n20\n",
"8\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n12\n8\n35\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n77\n10\n26\n14\n47\n35\n39\n8\n21\n33\n37\n77\n8\n19\n17\n21\n15\n7\n7\n42\n5\n",
"17\n2\n37\n16\n20\n18\n30\n20\n46\n35\n41\n2\n34\n47\n43\n10\n7\n28\n41\n3\n43\n11\n37\n18\n10\n37\n22\n10\n22\n14\n47\n38\n37\n26\n23\n41\n20\n4\n43\n19\n15\n21\n22\n1\n1\n37\n37\n",
"42\n27\n37\n16\n20\n36\n11\n20\n46\n35\n11\n12\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n37\n36\n37\n37\n18\n10\n22\n14\n2\n38\n8\n43\n23\n33\n20\n7\n26\n28\n30\n21\n43\n1\n1\n42\n37\n",
"27\n30\n37\n16\n20\n18\n30\n20\n46\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n31\n37\n18\n10\n19\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n7\n47\n42\n20\n",
"49\n30\n39\n16\n20\n24\n30\n20\n46\n35\n41\n28\n34\n47\n43\n24\n7\n28\n41\n3\n43\n11\n20\n24\n37\n37\n22\n45\n45\n14\n47\n38\n37\n26\n23\n33\n20\n4\n43\n19\n15\n-1\n15\n-1\n7\n42\n5\n",
"17\n48\n39\n1\n20\n36\n48\n39\n46\n35\n41\n2\n5\n47\n43\n38\n46\n28\n13\n3\n43\n11\n20\n36\n37\n20\n18\n10\n18\n14\n47\n35\n3\n26\n23\n33\n39\n36\n43\n19\n27\n-1\n15\n29\n29\n45\n37\n",
"27\n27\n37\n40\n20\n18\n11\n20\n46\n35\n11\n2\n34\n47\n30\n18\n7\n28\n11\n3\n30\n22\n37\n18\n37\n37\n18\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n30\n19\n27\n21\n44\n1\n1\n42\n37\n",
"27\n30\n39\n16\n20\n35\n11\n20\n-1\n35\n11\n2\n5\n47\n26\n24\n7\n28\n20\n3\n26\n13\n20\n24\n37\n37\n22\n10\n22\n14\n47\n38\n37\n43\n23\n20\n20\n4\n26\n19\n30\n-1\n43\n2\n2\n-1\n5\n",
"27\n27\n37\n46\n20\n18\n11\n25\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n13\n5\n26\n22\n37\n-1\n37\n37\n22\n10\n20\n14\n67\n38\n37\n43\n23\n67\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"8\n33\n39\n46\n34\n24\n33\n37\n-1\n35\n13\n2\n5\n47\n9\n24\n29\n28\n13\n3\n43\n13\n34\n24\n37\n12\n22\n10\n22\n14\n23\n38\n39\n9\n23\n64\n37\n47\n9\n19\n17\n-1\n15\n9\n9\n42\n34\n",
"8\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n12\n8\n35\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n77\n10\n26\n14\n47\n35\n39\n8\n21\n33\n37\n77\n8\n40\n17\n21\n15\n7\n7\n42\n5\n",
"17\n2\n37\n16\n20\n18\n30\n20\n46\n35\n41\n2\n34\n47\n43\n10\n7\n28\n41\n3\n43\n11\n37\n18\n10\n37\n22\n10\n22\n14\n47\n38\n37\n26\n23\n41\n20\n3\n43\n19\n15\n21\n22\n1\n1\n37\n37\n",
"42\n27\n37\n16\n20\n36\n11\n20\n46\n35\n11\n12\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n37\n36\n37\n37\n18\n10\n38\n14\n2\n38\n8\n43\n23\n33\n20\n7\n26\n28\n30\n21\n43\n1\n1\n42\n37\n",
"27\n30\n37\n16\n20\n18\n30\n20\n10\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n3\n26\n13\n37\n18\n31\n37\n18\n10\n19\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n7\n47\n42\n20\n",
"49\n30\n39\n16\n20\n24\n30\n20\n46\n35\n41\n28\n34\n47\n43\n24\n7\n28\n41\n3\n43\n11\n20\n24\n37\n37\n22\n45\n45\n14\n47\n2\n37\n26\n23\n33\n20\n4\n43\n19\n15\n-1\n15\n-1\n7\n42\n5\n",
"17\n48\n39\n1\n20\n36\n48\n39\n46\n35\n41\n2\n5\n47\n43\n38\n46\n28\n13\n3\n43\n11\n20\n36\n37\n37\n18\n10\n18\n14\n47\n35\n3\n26\n23\n33\n39\n36\n43\n19\n27\n-1\n15\n29\n29\n45\n37\n",
"27\n27\n37\n46\n20\n18\n11\n25\n46\n35\n11\n28\n34\n47\n26\n18\n-1\n28\n13\n5\n26\n22\n37\n-1\n37\n37\n22\n10\n20\n14\n99\n38\n37\n43\n23\n99\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"16\n33\n39\n46\n34\n24\n33\n37\n-1\n35\n13\n2\n5\n47\n9\n24\n29\n28\n13\n3\n43\n13\n34\n24\n37\n12\n22\n10\n22\n14\n23\n38\n39\n9\n23\n64\n37\n47\n9\n19\n17\n-1\n15\n9\n9\n42\n34\n",
"17\n33\n39\n46\n20\n36\n33\n39\n-1\n35\n41\n2\n39\n12\n43\n38\n29\n42\n41\n3\n43\n11\n12\n25\n37\n12\n18\n10\n18\n39\n47\n35\n39\n26\n23\n33\n39\n36\n43\n19\n27\n-1\n15\n29\n29\n30\n20\n",
"17\n2\n37\n16\n20\n18\n30\n20\n46\n35\n41\n2\n34\n47\n43\n10\n7\n28\n41\n3\n43\n11\n37\n18\n10\n37\n22\n10\n22\n14\n47\n38\n37\n26\n23\n41\n20\n3\n43\n19\n15\n21\n22\n1\n1\n37\n28\n",
"42\n27\n37\n16\n20\n36\n11\n20\n46\n35\n11\n12\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n37\n36\n37\n37\n18\n10\n38\n14\n2\n38\n8\n43\n23\n33\n20\n7\n26\n28\n30\n21\n43\n1\n1\n39\n37\n",
"27\n30\n37\n16\n20\n18\n30\n20\n10\n35\n11\n2\n34\n47\n26\n18\n7\n28\n11\n5\n26\n13\n37\n18\n31\n37\n18\n10\n19\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n7\n47\n42\n20\n",
"49\n30\n39\n16\n20\n24\n30\n20\n46\n35\n41\n28\n34\n47\n43\n24\n7\n28\n41\n3\n43\n11\n20\n24\n37\n37\n22\n45\n45\n14\n47\n2\n37\n26\n23\n33\n20\n4\n43\n19\n15\n-1\n15\n-1\n7\n42\n38\n",
"17\n48\n39\n1\n20\n36\n48\n39\n46\n35\n41\n2\n5\n47\n43\n38\n46\n28\n13\n3\n43\n11\n20\n36\n37\n37\n21\n10\n18\n14\n47\n35\n3\n26\n23\n33\n39\n36\n43\n19\n27\n-1\n15\n29\n29\n45\n37\n",
"27\n27\n37\n40\n20\n18\n11\n20\n46\n35\n11\n2\n5\n47\n30\n18\n7\n28\n11\n3\n30\n22\n37\n18\n37\n37\n18\n10\n18\n14\n47\n38\n37\n43\n23\n41\n20\n4\n30\n19\n27\n21\n44\n1\n1\n42\n37\n",
"27\n27\n37\n46\n20\n18\n11\n25\n46\n35\n11\n28\n34\n47\n26\n25\n-1\n28\n13\n5\n26\n22\n37\n-1\n37\n37\n22\n10\n20\n14\n99\n38\n37\n43\n23\n99\n20\n4\n26\n19\n30\n21\n15\n1\n1\n42\n37\n",
"16\n33\n39\n46\n34\n24\n33\n37\n-1\n35\n13\n2\n5\n47\n10\n24\n29\n28\n13\n3\n43\n13\n34\n24\n37\n12\n22\n10\n22\n14\n23\n38\n39\n10\n23\n64\n37\n47\n10\n19\n17\n-1\n15\n9\n9\n42\n34\n",
"17\n33\n39\n46\n20\n36\n33\n39\n-1\n35\n41\n2\n39\n12\n43\n38\n29\n42\n41\n3\n43\n11\n12\n25\n40\n12\n18\n10\n18\n39\n47\n35\n39\n26\n23\n33\n39\n36\n43\n19\n27\n-1\n15\n29\n29\n30\n20\n",
"24\n",
"17\n2\n39\n16\n20\n36\n30\n39\n46\n12\n13\n2\n5\n47\n26\n10\n29\n28\n13\n3\n43\n41\n20\n36\n10\n20\n22\n10\n22\n14\n47\n12\n39\n26\n23\n41\n39\n36\n26\n19\n15\n21\n22\n29\n29\n37\n28\n",
"42\n27\n37\n16\n20\n36\n11\n20\n46\n35\n11\n12\n34\n47\n26\n24\n7\n28\n11\n3\n26\n13\n37\n36\n37\n37\n18\n10\n38\n14\n2\n38\n8\n43\n23\n33\n20\n7\n26\n28\n30\n21\n43\n1\n1\n39\n12\n",
"27\n30\n37\n16\n20\n18\n30\n20\n10\n35\n11\n2\n34\n12\n26\n18\n7\n28\n11\n5\n26\n13\n37\n18\n31\n37\n18\n10\n19\n14\n47\n38\n37\n43\n23\n41\n20\n4\n26\n19\n30\n21\n43\n7\n47\n42\n20\n",
"9\n",
"9\n",
"9\n",
"9\n",
"9\n",
"9\n",
"-1\n",
"3\n2\n7\n10\n6\n7\n7\n7\n5\n1\n6\n6\n1\n9\n4\n4\n2\n1\n1\n3\n",
"9\n",
"9\n",
"9\n",
"42\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n15\n7\n7\n42\n5\n",
"9\n",
"9\n",
"42\n30\n39\n16\n20\n24\n30\n37\n46\n35\n13\n2\n5\n47\n26\n24\n29\n28\n13\n3\n43\n13\n5\n24\n37\n37\n22\n10\n22\n14\n47\n38\n39\n26\n23\n33\n37\n39\n26\n19\n17\n21\n15\n7\n7\n42\n5\n"
]
} | 2CODEFORCES
|
1497_D. Genius_357 | Please note the non-standard memory limit.
There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i.
After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i ≠ tag_j. After solving it your IQ changes and becomes IQ = |c_i - c_j| and you gain |s_i - s_j| points.
Any problem can be the first. You can solve problems in any order and as many times as you want.
Initially your IQ = 0. Find the maximum number of points that can be earned.
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases.
The first line of each test case contains an integer n (1 ≤ n ≤ 5000) — the number of problems.
The second line of each test case contains n integers tag_1, tag_2, …, tag_n (1 ≤ tag_i ≤ n) — tags of the problems.
The third line of each test case contains n integers s_1, s_2, …, s_n (1 ≤ s_i ≤ 10^9) — scores of the problems.
It's guaranteed that sum of n over all test cases does not exceed 5000.
Output
For each test case print a single integer — the maximum number of points that can be earned.
Example
Input
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
Output
35
30
42
0
0
Note
In the first test case optimal sequence of solving problems is as follows:
1. 1 → 2, after that total score is 5 and IQ = 2
2. 2 → 3, after that total score is 10 and IQ = 4
3. 3 → 1, after that total score is 20 and IQ = 6
4. 1 → 4, after that total score is 35 and IQ = 14
In the second test case optimal sequence of solving problems is as follows:
1. 1 → 2, after that total score is 5 and IQ = 2
2. 2 → 3, after that total score is 10 and IQ = 4
3. 3 → 4, after that total score is 15 and IQ = 8
4. 4 → 1, after that total score is 35 and IQ = 14
In the third test case optimal sequence of solving problems is as follows:
1. 1 → 3, after that total score is 17 and IQ = 6
2. 3 → 4, after that total score is 35 and IQ = 8
3. 4 → 2, after that total score is 42 and IQ = 12 | T = int(raw_input())
for case_ in xrange(T):
n = int(raw_input())
ts = map(int, raw_input().split())
ss = map(int, raw_input().split())
dp = [0 for i in xrange(n)]
for i in xrange(n):
for j in xrange(i - 1, -1, -1):
if ts[i] == ts[j]:
continue
delta = abs(ss[i] - ss[j])
dp[i], dp[j] = max(dp[i], dp[j] + delta), max(dp[j], dp[i] + delta)
print max(dp)
'''
^^^TEST^^^
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
----
35
30
42
0
0
$$$TEST$$$
'''
| 1Python2
| {
"input": [
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 24\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 2\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 1 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 1 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 0 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n1 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 22 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n6 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n6 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 35\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n8 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 24 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n2 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 54 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 17 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 5 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 0\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n1 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 3 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 0 2\n5 10 15 33\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 22 9\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n6 10 19 20\n4\n2 0 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 35\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 2 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 17 19 4\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 0 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 6 1\n0 9 19 0\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 2\n0 3 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 7 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 13\n4\n1 2 0 2\n5 10 15 33\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 37\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 2 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 1 2 2\n5 8 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n666\n",
"5\n4\n1 3 1 3\n5 10 15 16\n4\n2 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n2 1 1 6\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 24 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 25\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n2 10 28 16\n4\n1 1 0 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 16\n4\n1 1 0 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n5 9\n1\n1\n519\n",
"5\n4\n1 5 0 8\n6 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 2\n11 9\n1\n2\n445\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 2 2 2\n5 8 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n666\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n2 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n0 15 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 11 28 16\n4\n3 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 54 16\n4\n1 1 0 3\n5 3 19 20\n4\n4 4 0 1\n0 9 29 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n0 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 16\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n1 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 2 1 14\n5 10 21 16\n4\n1 1 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 18\n10 7 139 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n0 2 6 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 2\n11 3\n1\n2\n445\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n0 3 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n5 14 28 16\n4\n3 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n10 10 28 25\n4\n1 1 0 2\n5 3 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n0 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n0 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 3 16\n4\n1 1 0 2\n1 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 2 1 14\n5 10 21 16\n4\n1 2 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n2 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n6 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n5 9\n1\n1\n25\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 8 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n0 0 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 2 1 14\n10 10 28 25\n4\n1 1 0 2\n5 2 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 1\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 3 16\n4\n1 1 0 2\n0 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 3 1 14\n5 10 47 27\n4\n2 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 6 24\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 2 4 4\n5 10 15 13\n4\n1 2 0 2\n5 17 15 33\n4\n2 2 3 1\n2 8 19 1\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n0 2 2 2\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n900\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n10 9\n1\n1\n1045\n",
"5\n4\n3 2 1 14\n14 10 28 25\n4\n1 1 0 2\n5 2 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 1\n9 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n-1 1 6 2\n2\n-1 1\n0 18\n1\n1\n808\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 15 27\n4\n0 2 2 2\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n900\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n10 9\n1\n1\n1045\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 19 2\n2\n0 1\n0 3\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n0 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 10\n1\n1\n1\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 7\n5 14 28 16\n4\n0 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 8 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 0 1 8\n8 7 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n3 14 28 16\n4\n3 1 0 2\n5 3 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 19 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 10\n1\n1\n1\n",
"5\n4\n1 3 1 8\n5 7 15 27\n4\n0 2 2 0\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n0 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n10 1\n1\n1\n1045\n",
"5\n4\n1 1 1 8\n8 7 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 0 2\n5 3 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 2 2 2\n5 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 -1 11 1\n0 2 19 2\n2\n0 2\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 14\n1\n1\n1\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n0 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 2\n10 1\n1\n1\n1045\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 0 2\n5 5 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 29 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 26\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 18\n1\n1\n808\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 20\n4\n2 2 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 1 1 8\n8 7 28 5\n4\n1 1 0 2\n5 16 19 20\n4\n2 3 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n8 0 6 1\n0 9 19 3\n2\n0 1\n1 18\n1\n1\n102\n",
"5\n4\n3 0 1 19\n10 10 87 16\n4\n1 1 0 1\n5 0 56 9\n4\n5 2 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n1304\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 18\n1\n1\n808\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 4 19 2\n2\n2 0\n5 14\n1\n1\n1\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 20\n4\n2 4 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 15 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 1 1 8\n6 7 28 5\n4\n1 1 0 2\n5 16 19 20\n4\n2 3 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 -1 2\n5 5 16 20\n4\n4 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n8 0 6 1\n0 9 19 6\n2\n0 1\n1 18\n1\n1\n102\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 30\n1\n1\n808\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 34\n4\n2 4 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 11 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 8 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 7 11 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 3 1 7\n5 23 28 16\n4\n0 1 1 2\n5 10 19 31\n4\n4 2 6 1\n0 14 8 0\n2\n1 1\n2 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 -1 2\n1 5 16 20\n4\n2 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 8 6 0\n-1 7 21 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 1 6 1\n-1 1 4 2\n2\n-2 1\n0 30\n1\n1\n808\n",
"5\n4\n3 3 1 14\n4 14 40 16\n4\n3 1 -1 2\n1 5 16 20\n4\n2 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 33 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 1 6 1\n-1 1 1 2\n2\n-2 1\n0 30\n1\n0\n808\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 62 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n4 1 0 2\n5 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n-1 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 38 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n-1 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n1 2 2 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 3 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 0\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 1\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 0 2\n5 10 37 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n"
],
"output": [
"\n35\n30\n42\n0\n0\n",
"35\n30\n40\n0\n0\n",
"35\n25\n40\n0\n0\n",
"35\n29\n40\n0\n0\n",
"35\n29\n41\n0\n0\n",
"31\n29\n41\n0\n0\n",
"22\n29\n41\n0\n0\n",
"22\n38\n41\n0\n0\n",
"46\n38\n41\n0\n0\n",
"57\n38\n41\n0\n0\n",
"57\n38\n42\n0\n0\n",
"57\n48\n42\n0\n0\n",
"57\n48\n50\n0\n0\n",
"52\n48\n50\n0\n0\n",
"52\n48\n52\n0\n0\n",
"52\n48\n43\n0\n0\n",
"52\n81\n43\n0\n0\n",
"52\n81\n43\n8\n0\n",
"52\n81\n43\n17\n0\n",
"52\n85\n43\n17\n0\n",
"52\n85\n52\n17\n0\n",
"46\n85\n52\n17\n0\n",
"46\n66\n52\n17\n0\n",
"46\n104\n52\n17\n0\n",
"90\n104\n52\n17\n0\n",
"90\n104\n40\n17\n0\n",
"80\n104\n40\n17\n0\n",
"160\n104\n40\n17\n0\n",
"160\n104\n46\n17\n0\n",
"160\n0\n46\n17\n0\n",
"160\n0\n46\n18\n0\n",
"35\n35\n42\n0\n0\n",
"35\n30\n46\n0\n0\n",
"49\n25\n40\n0\n0\n",
"35\n25\n40\n3\n0\n",
"35\n27\n40\n0\n0\n",
"32\n29\n40\n0\n0\n",
"65\n29\n41\n0\n0\n",
"44\n38\n41\n0\n0\n",
"22\n33\n41\n0\n0\n",
"48\n38\n42\n0\n0\n",
"57\n48\n52\n0\n0\n",
"52\n36\n50\n0\n0\n",
"52\n48\n52\n8\n0\n",
"104\n48\n43\n0\n0\n",
"52\n81\n51\n0\n0\n",
"52\n81\n43\n2\n0\n",
"57\n81\n43\n17\n0\n",
"52\n83\n52\n17\n0\n",
"46\n66\n52\n0\n0\n",
"38\n104\n52\n17\n0\n",
"90\n101\n52\n17\n0\n",
"90\n104\n37\n17\n0\n",
"160\n104\n41\n17\n0\n",
"160\n104\n47\n17\n0\n",
"35\n61\n42\n0\n0\n",
"39\n25\n40\n0\n0\n",
"35\n27\n46\n0\n0\n",
"65\n29\n23\n0\n0\n",
"46\n38\n48\n0\n0\n",
"57\n48\n52\n8\n0\n",
"52\n81\n47\n0\n0\n",
"57\n81\n43\n2\n0\n",
"57\n111\n43\n17\n0\n",
"52\n88\n52\n17\n0\n",
"38\n99\n52\n17\n0\n",
"90\n101\n56\n17\n0\n",
"90\n104\n38\n17\n0\n",
"80\n104\n41\n17\n0\n",
"166\n104\n47\n17\n0\n",
"160\n21\n46\n18\n0\n",
"28\n61\n42\n0\n0\n",
"69\n29\n23\n0\n0\n",
"44\n40\n41\n0\n0\n",
"22\n30\n41\n0\n0\n",
"46\n38\n50\n0\n0\n",
"50\n38\n42\n0\n0\n",
"51\n48\n52\n0\n0\n",
"66\n48\n52\n8\n0\n",
"66\n111\n43\n17\n0\n",
"52\n83\n43\n17\n0\n",
"38\n0\n52\n17\n0\n",
"80\n104\n40\n16\n0\n",
"160\n23\n46\n18\n0\n",
"35\n25\n40\n4\n0\n",
"32\n29\n72\n0\n0\n",
"35\n29\n41\n2\n0\n",
"44\n29\n41\n0\n0\n",
"31\n30\n41\n0\n0\n",
"46\n38\n64\n0\n0\n",
"51\n48\n50\n0\n0\n",
"104\n48\n63\n0\n0\n",
"57\n81\n52\n2\n0\n",
"52\n38\n43\n17\n0\n",
"52\n96\n52\n17\n0\n",
"43\n0\n52\n17\n0\n",
"90\n123\n38\n17\n0\n",
"80\n101\n40\n16\n0\n",
"270\n104\n47\n17\n0\n",
"160\n23\n14\n18\n0\n",
"35\n29\n41\n8\n0\n",
"46\n56\n64\n0\n0\n",
"50\n38\n64\n0\n0\n",
"48\n48\n50\n0\n0\n",
"51\n48\n52\n8\n0\n",
"57\n81\n52\n3\n0\n",
"63\n111\n43\n17\n0\n",
"54\n38\n43\n17\n0\n",
"31\n96\n52\n17\n0\n",
"43\n74\n52\n17\n0\n",
"90\n108\n38\n17\n0\n",
"80\n101\n38\n16\n0\n",
"35\n23\n40\n4\n0\n",
"32\n23\n72\n0\n0\n",
"46\n56\n42\n0\n0\n",
"48\n38\n64\n0\n0\n",
"51\n50\n52\n8\n0\n",
"63\n96\n43\n17\n0\n",
"54\n38\n43\n16\n0\n",
"31\n98\n52\n17\n0\n",
"101\n108\n38\n17\n0\n",
"80\n19\n38\n16\n0\n",
"28\n68\n42\n0\n0\n",
"44\n29\n48\n0\n0\n",
"31\n33\n41\n0\n0\n",
"47\n50\n52\n8\n0\n",
"63\n92\n43\n17\n0\n",
"54\n83\n43\n16\n0\n",
"54\n74\n52\n17\n0\n",
"80\n14\n38\n16\n0\n",
"160\n23\n17\n18\n0\n",
"32\n23\n72\n3\n0\n",
"50\n29\n48\n0\n0\n",
"31\n33\n48\n0\n0\n",
"57\n73\n52\n3\n0\n",
"54\n83\n41\n16\n0\n",
"86\n14\n38\n16\n0\n",
"35\n23\n40\n5\n0\n",
"32\n23\n73\n3\n0\n",
"46\n56\n44\n0\n0\n",
"48\n38\n62\n0\n0\n",
"52\n45\n50\n0\n0\n",
"57\n73\n52\n2\n0\n",
"54\n83\n42\n16\n0\n",
"70\n74\n52\n17\n0\n",
"86\n14\n38\n18\n0\n",
"35\n32\n40\n5\n0\n",
"50\n30\n48\n0\n0\n",
"31\n30\n48\n0\n0\n",
"26\n38\n62\n0\n0\n",
"50\n45\n50\n0\n0\n",
"57\n73\n24\n2\n0\n",
"54\n51\n42\n16\n0\n",
"86\n14\n40\n18\n0\n",
"35\n32\n40\n9\n0\n",
"31\n30\n48\n9\n0\n",
"50\n41\n50\n0\n0\n",
"59\n73\n24\n2\n0\n",
"54\n61\n42\n16\n0\n",
"166\n23\n14\n18\n0\n",
"32\n26\n73\n3\n0\n",
"26\n32\n62\n0\n0\n",
"70\n74\n50\n17\n0\n",
"160\n107\n46\n17\n0\n",
"166\n16\n14\n18\n0\n",
"35\n32\n36\n9\n0\n",
"32\n26\n80\n3\n0\n",
"30\n30\n48\n0\n0\n",
"25\n32\n62\n0\n0\n",
"50\n41\n46\n0\n0\n",
"59\n73\n24\n0\n0\n",
"54\n80\n42\n16\n0\n",
"70\n74\n47\n17\n0\n",
"166\n16\n14\n30\n0\n",
"32\n54\n80\n3\n0\n",
"26\n30\n48\n0\n0\n",
"56\n73\n24\n0\n0\n",
"54\n80\n50\n16\n0\n",
"26\n30\n50\n0\n0\n",
"46\n57\n44\n0\n0\n",
"50\n49\n46\n0\n0\n",
"56\n62\n24\n0\n0\n",
"54\n80\n54\n16\n0\n",
"166\n16\n10\n30\n0\n",
"74\n49\n46\n0\n0\n",
"56\n71\n24\n0\n0\n",
"166\n16\n6\n30\n0\n",
"56\n129\n24\n0\n0\n",
"56\n51\n24\n0\n0\n",
"56\n61\n24\n0\n0\n",
"56\n63\n24\n0\n0\n",
"46\n63\n24\n0\n0\n",
"46\n63\n26\n0\n0\n",
"64\n63\n26\n0\n0\n",
"35\n30\n42\n0\n0\n",
"44\n29\n40\n0\n0\n",
"35\n29\n41\n3\n0\n",
"31\n19\n41\n0\n0\n",
"22\n38\n43\n0\n0\n",
"22\n74\n41\n0\n0\n",
"46\n38\n40\n0\n0\n"
]
} | 2CODEFORCES
|
1497_D. Genius_358 | Please note the non-standard memory limit.
There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i.
After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i ≠ tag_j. After solving it your IQ changes and becomes IQ = |c_i - c_j| and you gain |s_i - s_j| points.
Any problem can be the first. You can solve problems in any order and as many times as you want.
Initially your IQ = 0. Find the maximum number of points that can be earned.
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases.
The first line of each test case contains an integer n (1 ≤ n ≤ 5000) — the number of problems.
The second line of each test case contains n integers tag_1, tag_2, …, tag_n (1 ≤ tag_i ≤ n) — tags of the problems.
The third line of each test case contains n integers s_1, s_2, …, s_n (1 ≤ s_i ≤ 10^9) — scores of the problems.
It's guaranteed that sum of n over all test cases does not exceed 5000.
Output
For each test case print a single integer — the maximum number of points that can be earned.
Example
Input
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
Output
35
30
42
0
0
Note
In the first test case optimal sequence of solving problems is as follows:
1. 1 → 2, after that total score is 5 and IQ = 2
2. 2 → 3, after that total score is 10 and IQ = 4
3. 3 → 1, after that total score is 20 and IQ = 6
4. 1 → 4, after that total score is 35 and IQ = 14
In the second test case optimal sequence of solving problems is as follows:
1. 1 → 2, after that total score is 5 and IQ = 2
2. 2 → 3, after that total score is 10 and IQ = 4
3. 3 → 4, after that total score is 15 and IQ = 8
4. 4 → 1, after that total score is 35 and IQ = 14
In the third test case optimal sequence of solving problems is as follows:
1. 1 → 3, after that total score is 17 and IQ = 6
2. 3 → 4, after that total score is 35 and IQ = 8
3. 4 → 2, after that total score is 42 and IQ = 12 |
#include <stdio.h>
#include <map>
#include <vector>
int absi(int i) {
if (i > 0) return i;
else return -i;
}
int main()
{
int T;
scanf("%d", &T);
while (T--) {
int n;
long long ans = 0;
scanf("%d", &n);
std::vector<int> tag(n + 1);
std::vector<int> s(n + 1);
std::vector<long long> d(n + 1, 0);
for (int i = 1; i <= n; i++) scanf("%d", &tag[i]);
for (int i = 1; i <= n; i++) scanf("%d", &s[i]);
for (int t = 2; t <= n; t++) {
for (int i = t - 1; i >= 1; i--) {
if (tag[t] != tag[i]) {
long long di = d[i];
long long dt = d[t];
long long ss = absi(s[i] - s[t]);
d[t] = std::max(di + ss, dt);
d[i] = std::max(dt + ss, di);
ans = std::max(ans, d[i]);
ans = std::max(ans, d[t]);
}
}
}
printf("%lld\n", ans);
}
return 0;
} | 2C++
| {
"input": [
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 24\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 2\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 1 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 1 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 0 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n1 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 22 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n6 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n6 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 35\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n8 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 24 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n2 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 54 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 17 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 5 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 0\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n1 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 3 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 0 2\n5 10 15 33\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 22 9\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n6 10 19 20\n4\n2 0 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 35\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 2 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 17 19 4\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 0 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 6 1\n0 9 19 0\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 2\n0 3 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 7 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 13\n4\n1 2 0 2\n5 10 15 33\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 37\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 2 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 1 2 2\n5 8 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n666\n",
"5\n4\n1 3 1 3\n5 10 15 16\n4\n2 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n2 1 1 6\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 24 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 25\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n2 10 28 16\n4\n1 1 0 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 16\n4\n1 1 0 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n5 9\n1\n1\n519\n",
"5\n4\n1 5 0 8\n6 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 2\n11 9\n1\n2\n445\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 2 2 2\n5 8 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n666\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n2 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n0 15 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 11 28 16\n4\n3 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 54 16\n4\n1 1 0 3\n5 3 19 20\n4\n4 4 0 1\n0 9 29 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n0 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 16\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n1 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 2 1 14\n5 10 21 16\n4\n1 1 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 18\n10 7 139 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n0 2 6 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 2\n11 3\n1\n2\n445\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n0 3 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n5 14 28 16\n4\n3 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n10 10 28 25\n4\n1 1 0 2\n5 3 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n0 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n0 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 3 16\n4\n1 1 0 2\n1 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 2 1 14\n5 10 21 16\n4\n1 2 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n2 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n6 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n5 9\n1\n1\n25\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 8 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n0 0 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 2 1 14\n10 10 28 25\n4\n1 1 0 2\n5 2 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 1\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 3 16\n4\n1 1 0 2\n0 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 3 1 14\n5 10 47 27\n4\n2 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 6 24\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 2 4 4\n5 10 15 13\n4\n1 2 0 2\n5 17 15 33\n4\n2 2 3 1\n2 8 19 1\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n0 2 2 2\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n900\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n10 9\n1\n1\n1045\n",
"5\n4\n3 2 1 14\n14 10 28 25\n4\n1 1 0 2\n5 2 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 1\n9 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n-1 1 6 2\n2\n-1 1\n0 18\n1\n1\n808\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 15 27\n4\n0 2 2 2\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n900\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n10 9\n1\n1\n1045\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 19 2\n2\n0 1\n0 3\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n0 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 10\n1\n1\n1\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 7\n5 14 28 16\n4\n0 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 8 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 0 1 8\n8 7 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n3 14 28 16\n4\n3 1 0 2\n5 3 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 19 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 10\n1\n1\n1\n",
"5\n4\n1 3 1 8\n5 7 15 27\n4\n0 2 2 0\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n0 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n10 1\n1\n1\n1045\n",
"5\n4\n1 1 1 8\n8 7 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 0 2\n5 3 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 2 2 2\n5 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 -1 11 1\n0 2 19 2\n2\n0 2\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 14\n1\n1\n1\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n0 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 2\n10 1\n1\n1\n1045\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 0 2\n5 5 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 29 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 26\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 18\n1\n1\n808\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 20\n4\n2 2 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 1 1 8\n8 7 28 5\n4\n1 1 0 2\n5 16 19 20\n4\n2 3 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n8 0 6 1\n0 9 19 3\n2\n0 1\n1 18\n1\n1\n102\n",
"5\n4\n3 0 1 19\n10 10 87 16\n4\n1 1 0 1\n5 0 56 9\n4\n5 2 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n1304\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 18\n1\n1\n808\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 4 19 2\n2\n2 0\n5 14\n1\n1\n1\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 20\n4\n2 4 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 15 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 1 1 8\n6 7 28 5\n4\n1 1 0 2\n5 16 19 20\n4\n2 3 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 -1 2\n5 5 16 20\n4\n4 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n8 0 6 1\n0 9 19 6\n2\n0 1\n1 18\n1\n1\n102\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 30\n1\n1\n808\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 34\n4\n2 4 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 11 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 8 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 7 11 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 3 1 7\n5 23 28 16\n4\n0 1 1 2\n5 10 19 31\n4\n4 2 6 1\n0 14 8 0\n2\n1 1\n2 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 -1 2\n1 5 16 20\n4\n2 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 8 6 0\n-1 7 21 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 1 6 1\n-1 1 4 2\n2\n-2 1\n0 30\n1\n1\n808\n",
"5\n4\n3 3 1 14\n4 14 40 16\n4\n3 1 -1 2\n1 5 16 20\n4\n2 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 33 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 1 6 1\n-1 1 1 2\n2\n-2 1\n0 30\n1\n0\n808\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 62 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n4 1 0 2\n5 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n-1 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 38 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n-1 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n1 2 2 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 3 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 0\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 1\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 0 2\n5 10 37 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n"
],
"output": [
"\n35\n30\n42\n0\n0\n",
"35\n30\n40\n0\n0\n",
"35\n25\n40\n0\n0\n",
"35\n29\n40\n0\n0\n",
"35\n29\n41\n0\n0\n",
"31\n29\n41\n0\n0\n",
"22\n29\n41\n0\n0\n",
"22\n38\n41\n0\n0\n",
"46\n38\n41\n0\n0\n",
"57\n38\n41\n0\n0\n",
"57\n38\n42\n0\n0\n",
"57\n48\n42\n0\n0\n",
"57\n48\n50\n0\n0\n",
"52\n48\n50\n0\n0\n",
"52\n48\n52\n0\n0\n",
"52\n48\n43\n0\n0\n",
"52\n81\n43\n0\n0\n",
"52\n81\n43\n8\n0\n",
"52\n81\n43\n17\n0\n",
"52\n85\n43\n17\n0\n",
"52\n85\n52\n17\n0\n",
"46\n85\n52\n17\n0\n",
"46\n66\n52\n17\n0\n",
"46\n104\n52\n17\n0\n",
"90\n104\n52\n17\n0\n",
"90\n104\n40\n17\n0\n",
"80\n104\n40\n17\n0\n",
"160\n104\n40\n17\n0\n",
"160\n104\n46\n17\n0\n",
"160\n0\n46\n17\n0\n",
"160\n0\n46\n18\n0\n",
"35\n35\n42\n0\n0\n",
"35\n30\n46\n0\n0\n",
"49\n25\n40\n0\n0\n",
"35\n25\n40\n3\n0\n",
"35\n27\n40\n0\n0\n",
"32\n29\n40\n0\n0\n",
"65\n29\n41\n0\n0\n",
"44\n38\n41\n0\n0\n",
"22\n33\n41\n0\n0\n",
"48\n38\n42\n0\n0\n",
"57\n48\n52\n0\n0\n",
"52\n36\n50\n0\n0\n",
"52\n48\n52\n8\n0\n",
"104\n48\n43\n0\n0\n",
"52\n81\n51\n0\n0\n",
"52\n81\n43\n2\n0\n",
"57\n81\n43\n17\n0\n",
"52\n83\n52\n17\n0\n",
"46\n66\n52\n0\n0\n",
"38\n104\n52\n17\n0\n",
"90\n101\n52\n17\n0\n",
"90\n104\n37\n17\n0\n",
"160\n104\n41\n17\n0\n",
"160\n104\n47\n17\n0\n",
"35\n61\n42\n0\n0\n",
"39\n25\n40\n0\n0\n",
"35\n27\n46\n0\n0\n",
"65\n29\n23\n0\n0\n",
"46\n38\n48\n0\n0\n",
"57\n48\n52\n8\n0\n",
"52\n81\n47\n0\n0\n",
"57\n81\n43\n2\n0\n",
"57\n111\n43\n17\n0\n",
"52\n88\n52\n17\n0\n",
"38\n99\n52\n17\n0\n",
"90\n101\n56\n17\n0\n",
"90\n104\n38\n17\n0\n",
"80\n104\n41\n17\n0\n",
"166\n104\n47\n17\n0\n",
"160\n21\n46\n18\n0\n",
"28\n61\n42\n0\n0\n",
"69\n29\n23\n0\n0\n",
"44\n40\n41\n0\n0\n",
"22\n30\n41\n0\n0\n",
"46\n38\n50\n0\n0\n",
"50\n38\n42\n0\n0\n",
"51\n48\n52\n0\n0\n",
"66\n48\n52\n8\n0\n",
"66\n111\n43\n17\n0\n",
"52\n83\n43\n17\n0\n",
"38\n0\n52\n17\n0\n",
"80\n104\n40\n16\n0\n",
"160\n23\n46\n18\n0\n",
"35\n25\n40\n4\n0\n",
"32\n29\n72\n0\n0\n",
"35\n29\n41\n2\n0\n",
"44\n29\n41\n0\n0\n",
"31\n30\n41\n0\n0\n",
"46\n38\n64\n0\n0\n",
"51\n48\n50\n0\n0\n",
"104\n48\n63\n0\n0\n",
"57\n81\n52\n2\n0\n",
"52\n38\n43\n17\n0\n",
"52\n96\n52\n17\n0\n",
"43\n0\n52\n17\n0\n",
"90\n123\n38\n17\n0\n",
"80\n101\n40\n16\n0\n",
"270\n104\n47\n17\n0\n",
"160\n23\n14\n18\n0\n",
"35\n29\n41\n8\n0\n",
"46\n56\n64\n0\n0\n",
"50\n38\n64\n0\n0\n",
"48\n48\n50\n0\n0\n",
"51\n48\n52\n8\n0\n",
"57\n81\n52\n3\n0\n",
"63\n111\n43\n17\n0\n",
"54\n38\n43\n17\n0\n",
"31\n96\n52\n17\n0\n",
"43\n74\n52\n17\n0\n",
"90\n108\n38\n17\n0\n",
"80\n101\n38\n16\n0\n",
"35\n23\n40\n4\n0\n",
"32\n23\n72\n0\n0\n",
"46\n56\n42\n0\n0\n",
"48\n38\n64\n0\n0\n",
"51\n50\n52\n8\n0\n",
"63\n96\n43\n17\n0\n",
"54\n38\n43\n16\n0\n",
"31\n98\n52\n17\n0\n",
"101\n108\n38\n17\n0\n",
"80\n19\n38\n16\n0\n",
"28\n68\n42\n0\n0\n",
"44\n29\n48\n0\n0\n",
"31\n33\n41\n0\n0\n",
"47\n50\n52\n8\n0\n",
"63\n92\n43\n17\n0\n",
"54\n83\n43\n16\n0\n",
"54\n74\n52\n17\n0\n",
"80\n14\n38\n16\n0\n",
"160\n23\n17\n18\n0\n",
"32\n23\n72\n3\n0\n",
"50\n29\n48\n0\n0\n",
"31\n33\n48\n0\n0\n",
"57\n73\n52\n3\n0\n",
"54\n83\n41\n16\n0\n",
"86\n14\n38\n16\n0\n",
"35\n23\n40\n5\n0\n",
"32\n23\n73\n3\n0\n",
"46\n56\n44\n0\n0\n",
"48\n38\n62\n0\n0\n",
"52\n45\n50\n0\n0\n",
"57\n73\n52\n2\n0\n",
"54\n83\n42\n16\n0\n",
"70\n74\n52\n17\n0\n",
"86\n14\n38\n18\n0\n",
"35\n32\n40\n5\n0\n",
"50\n30\n48\n0\n0\n",
"31\n30\n48\n0\n0\n",
"26\n38\n62\n0\n0\n",
"50\n45\n50\n0\n0\n",
"57\n73\n24\n2\n0\n",
"54\n51\n42\n16\n0\n",
"86\n14\n40\n18\n0\n",
"35\n32\n40\n9\n0\n",
"31\n30\n48\n9\n0\n",
"50\n41\n50\n0\n0\n",
"59\n73\n24\n2\n0\n",
"54\n61\n42\n16\n0\n",
"166\n23\n14\n18\n0\n",
"32\n26\n73\n3\n0\n",
"26\n32\n62\n0\n0\n",
"70\n74\n50\n17\n0\n",
"160\n107\n46\n17\n0\n",
"166\n16\n14\n18\n0\n",
"35\n32\n36\n9\n0\n",
"32\n26\n80\n3\n0\n",
"30\n30\n48\n0\n0\n",
"25\n32\n62\n0\n0\n",
"50\n41\n46\n0\n0\n",
"59\n73\n24\n0\n0\n",
"54\n80\n42\n16\n0\n",
"70\n74\n47\n17\n0\n",
"166\n16\n14\n30\n0\n",
"32\n54\n80\n3\n0\n",
"26\n30\n48\n0\n0\n",
"56\n73\n24\n0\n0\n",
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"26\n30\n50\n0\n0\n",
"46\n57\n44\n0\n0\n",
"50\n49\n46\n0\n0\n",
"56\n62\n24\n0\n0\n",
"54\n80\n54\n16\n0\n",
"166\n16\n10\n30\n0\n",
"74\n49\n46\n0\n0\n",
"56\n71\n24\n0\n0\n",
"166\n16\n6\n30\n0\n",
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"56\n51\n24\n0\n0\n",
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"46\n63\n24\n0\n0\n",
"46\n63\n26\n0\n0\n",
"64\n63\n26\n0\n0\n",
"35\n30\n42\n0\n0\n",
"44\n29\n40\n0\n0\n",
"35\n29\n41\n3\n0\n",
"31\n19\n41\n0\n0\n",
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"46\n38\n40\n0\n0\n"
]
} | 2CODEFORCES
|
1497_D. Genius_359 | Please note the non-standard memory limit.
There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i.
After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i ≠ tag_j. After solving it your IQ changes and becomes IQ = |c_i - c_j| and you gain |s_i - s_j| points.
Any problem can be the first. You can solve problems in any order and as many times as you want.
Initially your IQ = 0. Find the maximum number of points that can be earned.
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases.
The first line of each test case contains an integer n (1 ≤ n ≤ 5000) — the number of problems.
The second line of each test case contains n integers tag_1, tag_2, …, tag_n (1 ≤ tag_i ≤ n) — tags of the problems.
The third line of each test case contains n integers s_1, s_2, …, s_n (1 ≤ s_i ≤ 10^9) — scores of the problems.
It's guaranteed that sum of n over all test cases does not exceed 5000.
Output
For each test case print a single integer — the maximum number of points that can be earned.
Example
Input
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
Output
35
30
42
0
0
Note
In the first test case optimal sequence of solving problems is as follows:
1. 1 → 2, after that total score is 5 and IQ = 2
2. 2 → 3, after that total score is 10 and IQ = 4
3. 3 → 1, after that total score is 20 and IQ = 6
4. 1 → 4, after that total score is 35 and IQ = 14
In the second test case optimal sequence of solving problems is as follows:
1. 1 → 2, after that total score is 5 and IQ = 2
2. 2 → 3, after that total score is 10 and IQ = 4
3. 3 → 4, after that total score is 15 and IQ = 8
4. 4 → 1, after that total score is 35 and IQ = 14
In the third test case optimal sequence of solving problems is as follows:
1. 1 → 3, after that total score is 17 and IQ = 6
2. 3 → 4, after that total score is 35 and IQ = 8
3. 4 → 2, after that total score is 42 and IQ = 12 | def nr():return int(input())
def nrs():return [int(i) for i in input().split()]
def f(n,t,s):
d=[0]*n
for i in range(1,n):
for j in range(i-1,-1,-1):
if t[i]==t[j]:continue
sc=abs(s[i]-s[j])
d[i],d[j]=max(d[i],d[j]+sc),max(d[j],d[i]+sc)
return max(d)
for _ in range(nr()):
n=nr()
t=nrs()
s=nrs()
print(f(n,t,s))
| 3Python3
| {
"input": [
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
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"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
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"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n1 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
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"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n6 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n6 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 35\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
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"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n8 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 24 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n2 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 54 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 17 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
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"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 5 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 0\n1 18\n1\n1\n666\n",
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"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n1 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 3 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
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"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 0 2\n5 10 15 33\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 22 9\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n6 10 19 20\n4\n2 0 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 35\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 2 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 17 19 4\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 0 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 6 1\n0 9 19 0\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 2\n0 3 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 7 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 13\n4\n1 2 0 2\n5 10 15 33\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 37\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 2 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 1 2 2\n5 8 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n666\n",
"5\n4\n1 3 1 3\n5 10 15 16\n4\n2 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n2 1 1 6\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 24 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 25\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n2 10 28 16\n4\n1 1 0 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 16\n4\n1 1 0 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n5 9\n1\n1\n519\n",
"5\n4\n1 5 0 8\n6 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 2\n11 9\n1\n2\n445\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 2 2 2\n5 8 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n666\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n2 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n0 15 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 11 28 16\n4\n3 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 54 16\n4\n1 1 0 3\n5 3 19 20\n4\n4 4 0 1\n0 9 29 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n0 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 16\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n1 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 2 1 14\n5 10 21 16\n4\n1 1 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 18\n10 7 139 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n0 2 6 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 2\n11 3\n1\n2\n445\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n0 3 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n5 14 28 16\n4\n3 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n10 10 28 25\n4\n1 1 0 2\n5 3 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n0 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n0 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 3 16\n4\n1 1 0 2\n1 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 2 1 14\n5 10 21 16\n4\n1 2 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n2 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n6 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n5 9\n1\n1\n25\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 8 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n0 0 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 2 1 14\n10 10 28 25\n4\n1 1 0 2\n5 2 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 1\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 3 16\n4\n1 1 0 2\n0 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 3 1 14\n5 10 47 27\n4\n2 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 6 24\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 2 4 4\n5 10 15 13\n4\n1 2 0 2\n5 17 15 33\n4\n2 2 3 1\n2 8 19 1\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n0 2 2 2\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n900\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n10 9\n1\n1\n1045\n",
"5\n4\n3 2 1 14\n14 10 28 25\n4\n1 1 0 2\n5 2 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 1\n9 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n-1 1 6 2\n2\n-1 1\n0 18\n1\n1\n808\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 15 27\n4\n0 2 2 2\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n900\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n10 9\n1\n1\n1045\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 19 2\n2\n0 1\n0 3\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n0 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 10\n1\n1\n1\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 7\n5 14 28 16\n4\n0 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 8 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 0 1 8\n8 7 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n3 14 28 16\n4\n3 1 0 2\n5 3 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 19 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 10\n1\n1\n1\n",
"5\n4\n1 3 1 8\n5 7 15 27\n4\n0 2 2 0\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n0 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n10 1\n1\n1\n1045\n",
"5\n4\n1 1 1 8\n8 7 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 0 2\n5 3 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 2 2 2\n5 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 -1 11 1\n0 2 19 2\n2\n0 2\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 14\n1\n1\n1\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n0 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 2\n10 1\n1\n1\n1045\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 0 2\n5 5 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 29 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 26\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 18\n1\n1\n808\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 20\n4\n2 2 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 1 1 8\n8 7 28 5\n4\n1 1 0 2\n5 16 19 20\n4\n2 3 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n8 0 6 1\n0 9 19 3\n2\n0 1\n1 18\n1\n1\n102\n",
"5\n4\n3 0 1 19\n10 10 87 16\n4\n1 1 0 1\n5 0 56 9\n4\n5 2 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n1304\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 18\n1\n1\n808\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 4 19 2\n2\n2 0\n5 14\n1\n1\n1\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 20\n4\n2 4 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 15 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 1 1 8\n6 7 28 5\n4\n1 1 0 2\n5 16 19 20\n4\n2 3 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 -1 2\n5 5 16 20\n4\n4 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n8 0 6 1\n0 9 19 6\n2\n0 1\n1 18\n1\n1\n102\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 30\n1\n1\n808\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 34\n4\n2 4 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 11 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 8 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 7 11 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 3 1 7\n5 23 28 16\n4\n0 1 1 2\n5 10 19 31\n4\n4 2 6 1\n0 14 8 0\n2\n1 1\n2 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 -1 2\n1 5 16 20\n4\n2 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 8 6 0\n-1 7 21 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 1 6 1\n-1 1 4 2\n2\n-2 1\n0 30\n1\n1\n808\n",
"5\n4\n3 3 1 14\n4 14 40 16\n4\n3 1 -1 2\n1 5 16 20\n4\n2 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 33 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 1 6 1\n-1 1 1 2\n2\n-2 1\n0 30\n1\n0\n808\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 62 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n4 1 0 2\n5 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n-1 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 38 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n-1 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n1 2 2 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 3 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 0\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 1\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 0 2\n5 10 37 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n"
],
"output": [
"\n35\n30\n42\n0\n0\n",
"35\n30\n40\n0\n0\n",
"35\n25\n40\n0\n0\n",
"35\n29\n40\n0\n0\n",
"35\n29\n41\n0\n0\n",
"31\n29\n41\n0\n0\n",
"22\n29\n41\n0\n0\n",
"22\n38\n41\n0\n0\n",
"46\n38\n41\n0\n0\n",
"57\n38\n41\n0\n0\n",
"57\n38\n42\n0\n0\n",
"57\n48\n42\n0\n0\n",
"57\n48\n50\n0\n0\n",
"52\n48\n50\n0\n0\n",
"52\n48\n52\n0\n0\n",
"52\n48\n43\n0\n0\n",
"52\n81\n43\n0\n0\n",
"52\n81\n43\n8\n0\n",
"52\n81\n43\n17\n0\n",
"52\n85\n43\n17\n0\n",
"52\n85\n52\n17\n0\n",
"46\n85\n52\n17\n0\n",
"46\n66\n52\n17\n0\n",
"46\n104\n52\n17\n0\n",
"90\n104\n52\n17\n0\n",
"90\n104\n40\n17\n0\n",
"80\n104\n40\n17\n0\n",
"160\n104\n40\n17\n0\n",
"160\n104\n46\n17\n0\n",
"160\n0\n46\n17\n0\n",
"160\n0\n46\n18\n0\n",
"35\n35\n42\n0\n0\n",
"35\n30\n46\n0\n0\n",
"49\n25\n40\n0\n0\n",
"35\n25\n40\n3\n0\n",
"35\n27\n40\n0\n0\n",
"32\n29\n40\n0\n0\n",
"65\n29\n41\n0\n0\n",
"44\n38\n41\n0\n0\n",
"22\n33\n41\n0\n0\n",
"48\n38\n42\n0\n0\n",
"57\n48\n52\n0\n0\n",
"52\n36\n50\n0\n0\n",
"52\n48\n52\n8\n0\n",
"104\n48\n43\n0\n0\n",
"52\n81\n51\n0\n0\n",
"52\n81\n43\n2\n0\n",
"57\n81\n43\n17\n0\n",
"52\n83\n52\n17\n0\n",
"46\n66\n52\n0\n0\n",
"38\n104\n52\n17\n0\n",
"90\n101\n52\n17\n0\n",
"90\n104\n37\n17\n0\n",
"160\n104\n41\n17\n0\n",
"160\n104\n47\n17\n0\n",
"35\n61\n42\n0\n0\n",
"39\n25\n40\n0\n0\n",
"35\n27\n46\n0\n0\n",
"65\n29\n23\n0\n0\n",
"46\n38\n48\n0\n0\n",
"57\n48\n52\n8\n0\n",
"52\n81\n47\n0\n0\n",
"57\n81\n43\n2\n0\n",
"57\n111\n43\n17\n0\n",
"52\n88\n52\n17\n0\n",
"38\n99\n52\n17\n0\n",
"90\n101\n56\n17\n0\n",
"90\n104\n38\n17\n0\n",
"80\n104\n41\n17\n0\n",
"166\n104\n47\n17\n0\n",
"160\n21\n46\n18\n0\n",
"28\n61\n42\n0\n0\n",
"69\n29\n23\n0\n0\n",
"44\n40\n41\n0\n0\n",
"22\n30\n41\n0\n0\n",
"46\n38\n50\n0\n0\n",
"50\n38\n42\n0\n0\n",
"51\n48\n52\n0\n0\n",
"66\n48\n52\n8\n0\n",
"66\n111\n43\n17\n0\n",
"52\n83\n43\n17\n0\n",
"38\n0\n52\n17\n0\n",
"80\n104\n40\n16\n0\n",
"160\n23\n46\n18\n0\n",
"35\n25\n40\n4\n0\n",
"32\n29\n72\n0\n0\n",
"35\n29\n41\n2\n0\n",
"44\n29\n41\n0\n0\n",
"31\n30\n41\n0\n0\n",
"46\n38\n64\n0\n0\n",
"51\n48\n50\n0\n0\n",
"104\n48\n63\n0\n0\n",
"57\n81\n52\n2\n0\n",
"52\n38\n43\n17\n0\n",
"52\n96\n52\n17\n0\n",
"43\n0\n52\n17\n0\n",
"90\n123\n38\n17\n0\n",
"80\n101\n40\n16\n0\n",
"270\n104\n47\n17\n0\n",
"160\n23\n14\n18\n0\n",
"35\n29\n41\n8\n0\n",
"46\n56\n64\n0\n0\n",
"50\n38\n64\n0\n0\n",
"48\n48\n50\n0\n0\n",
"51\n48\n52\n8\n0\n",
"57\n81\n52\n3\n0\n",
"63\n111\n43\n17\n0\n",
"54\n38\n43\n17\n0\n",
"31\n96\n52\n17\n0\n",
"43\n74\n52\n17\n0\n",
"90\n108\n38\n17\n0\n",
"80\n101\n38\n16\n0\n",
"35\n23\n40\n4\n0\n",
"32\n23\n72\n0\n0\n",
"46\n56\n42\n0\n0\n",
"48\n38\n64\n0\n0\n",
"51\n50\n52\n8\n0\n",
"63\n96\n43\n17\n0\n",
"54\n38\n43\n16\n0\n",
"31\n98\n52\n17\n0\n",
"101\n108\n38\n17\n0\n",
"80\n19\n38\n16\n0\n",
"28\n68\n42\n0\n0\n",
"44\n29\n48\n0\n0\n",
"31\n33\n41\n0\n0\n",
"47\n50\n52\n8\n0\n",
"63\n92\n43\n17\n0\n",
"54\n83\n43\n16\n0\n",
"54\n74\n52\n17\n0\n",
"80\n14\n38\n16\n0\n",
"160\n23\n17\n18\n0\n",
"32\n23\n72\n3\n0\n",
"50\n29\n48\n0\n0\n",
"31\n33\n48\n0\n0\n",
"57\n73\n52\n3\n0\n",
"54\n83\n41\n16\n0\n",
"86\n14\n38\n16\n0\n",
"35\n23\n40\n5\n0\n",
"32\n23\n73\n3\n0\n",
"46\n56\n44\n0\n0\n",
"48\n38\n62\n0\n0\n",
"52\n45\n50\n0\n0\n",
"57\n73\n52\n2\n0\n",
"54\n83\n42\n16\n0\n",
"70\n74\n52\n17\n0\n",
"86\n14\n38\n18\n0\n",
"35\n32\n40\n5\n0\n",
"50\n30\n48\n0\n0\n",
"31\n30\n48\n0\n0\n",
"26\n38\n62\n0\n0\n",
"50\n45\n50\n0\n0\n",
"57\n73\n24\n2\n0\n",
"54\n51\n42\n16\n0\n",
"86\n14\n40\n18\n0\n",
"35\n32\n40\n9\n0\n",
"31\n30\n48\n9\n0\n",
"50\n41\n50\n0\n0\n",
"59\n73\n24\n2\n0\n",
"54\n61\n42\n16\n0\n",
"166\n23\n14\n18\n0\n",
"32\n26\n73\n3\n0\n",
"26\n32\n62\n0\n0\n",
"70\n74\n50\n17\n0\n",
"160\n107\n46\n17\n0\n",
"166\n16\n14\n18\n0\n",
"35\n32\n36\n9\n0\n",
"32\n26\n80\n3\n0\n",
"30\n30\n48\n0\n0\n",
"25\n32\n62\n0\n0\n",
"50\n41\n46\n0\n0\n",
"59\n73\n24\n0\n0\n",
"54\n80\n42\n16\n0\n",
"70\n74\n47\n17\n0\n",
"166\n16\n14\n30\n0\n",
"32\n54\n80\n3\n0\n",
"26\n30\n48\n0\n0\n",
"56\n73\n24\n0\n0\n",
"54\n80\n50\n16\n0\n",
"26\n30\n50\n0\n0\n",
"46\n57\n44\n0\n0\n",
"50\n49\n46\n0\n0\n",
"56\n62\n24\n0\n0\n",
"54\n80\n54\n16\n0\n",
"166\n16\n10\n30\n0\n",
"74\n49\n46\n0\n0\n",
"56\n71\n24\n0\n0\n",
"166\n16\n6\n30\n0\n",
"56\n129\n24\n0\n0\n",
"56\n51\n24\n0\n0\n",
"56\n61\n24\n0\n0\n",
"56\n63\n24\n0\n0\n",
"46\n63\n24\n0\n0\n",
"46\n63\n26\n0\n0\n",
"64\n63\n26\n0\n0\n",
"35\n30\n42\n0\n0\n",
"44\n29\n40\n0\n0\n",
"35\n29\n41\n3\n0\n",
"31\n19\n41\n0\n0\n",
"22\n38\n43\n0\n0\n",
"22\n74\n41\n0\n0\n",
"46\n38\n40\n0\n0\n"
]
} | 2CODEFORCES
|
1497_D. Genius_360 | Please note the non-standard memory limit.
There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i.
After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i ≠ tag_j. After solving it your IQ changes and becomes IQ = |c_i - c_j| and you gain |s_i - s_j| points.
Any problem can be the first. You can solve problems in any order and as many times as you want.
Initially your IQ = 0. Find the maximum number of points that can be earned.
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases.
The first line of each test case contains an integer n (1 ≤ n ≤ 5000) — the number of problems.
The second line of each test case contains n integers tag_1, tag_2, …, tag_n (1 ≤ tag_i ≤ n) — tags of the problems.
The third line of each test case contains n integers s_1, s_2, …, s_n (1 ≤ s_i ≤ 10^9) — scores of the problems.
It's guaranteed that sum of n over all test cases does not exceed 5000.
Output
For each test case print a single integer — the maximum number of points that can be earned.
Example
Input
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
Output
35
30
42
0
0
Note
In the first test case optimal sequence of solving problems is as follows:
1. 1 → 2, after that total score is 5 and IQ = 2
2. 2 → 3, after that total score is 10 and IQ = 4
3. 3 → 1, after that total score is 20 and IQ = 6
4. 1 → 4, after that total score is 35 and IQ = 14
In the second test case optimal sequence of solving problems is as follows:
1. 1 → 2, after that total score is 5 and IQ = 2
2. 2 → 3, after that total score is 10 and IQ = 4
3. 3 → 4, after that total score is 15 and IQ = 8
4. 4 → 1, after that total score is 35 and IQ = 14
In the third test case optimal sequence of solving problems is as follows:
1. 1 → 3, after that total score is 17 and IQ = 6
2. 3 → 4, after that total score is 35 and IQ = 8
3. 4 → 2, after that total score is 42 and IQ = 12 | import java.io.*;
import java.util.*;
public class CF1497D extends PrintWriter {
CF1497D() { super(System.out); }
Scanner sc = new Scanner(System.in);
public static void main(String[] $) {
CF1497D o = new CF1497D(); o.main(); o.flush();
}
void main() {
int t = sc.nextInt();
while (t-- > 0) {
int n = sc.nextInt();
int[] aa = new int[n];
for (int i = 0; i < n; i++)
aa[i] = sc.nextInt();
int[] ss = new int[n];
for (int i = 0; i < n; i++)
ss[i] = sc.nextInt();
long[] dp = new long[n];
for (int j = 0; j < n; j++)
for (int i = j - 1; i >= 0; i--)
if (aa[i] != aa[j]) {
int s = Math.abs(ss[i] - ss[j]);
long x = dp[i], y = dp[j];
dp[j] = Math.max(dp[j], x + s);
dp[i] = Math.max(dp[i], y + s);
}
long ans = 0;
for (int i = 0; i < n; i++)
ans = Math.max(ans, dp[i]);
println(ans);
}
}
}
| 4JAVA
| {
"input": [
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 24\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 2\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 1 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 1 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 0 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n1 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 22 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n6 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n6 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 35\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n8 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 24 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 8\n5 10 28 16\n4\n2 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 54 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 4 6 1\n0 9 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 17 19 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 5 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 25 16\n4\n1 1 0 1\n5 3 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 0\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n1 2 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 3 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 20\n4\n1 2 0 2\n5 10 15 33\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 22 9\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 10 15 20\n4\n1 2 2 2\n6 10 19 20\n4\n2 0 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 35\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 2 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 17 19 4\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n5 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 0 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 6 1\n0 9 19 0\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 2\n0 3 19 2\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 7 87 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 24\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 2 3 4\n5 10 15 13\n4\n1 2 0 2\n5 10 15 33\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 37\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 2 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 1 2 2\n5 8 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n666\n",
"5\n4\n1 3 1 3\n5 10 15 16\n4\n2 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n2 3 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n2 1 1 6\n5 10 28 16\n4\n1 1 0 2\n5 3 19 20\n4\n2 2 6 1\n0 8 24 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 28 25\n4\n1 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n2 10 28 16\n4\n1 1 0 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 16\n4\n1 1 0 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 21 16\n4\n1 1 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n0 2 22 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n5 9\n1\n1\n519\n",
"5\n4\n1 5 0 8\n6 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 2\n11 9\n1\n2\n445\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n1 2 2 2\n5 8 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n666\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n2 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n4 2 6 1\n0 15 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 11 28 16\n4\n3 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 54 16\n4\n1 1 0 3\n5 3 19 20\n4\n4 4 0 1\n0 9 29 2\n2\n1 1\n1 9\n1\n1\n666\n",
"5\n4\n0 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 3\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 16\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 28 16\n4\n1 1 0 2\n1 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 2 1 14\n5 10 21 16\n4\n1 1 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n1 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n4 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 18\n10 7 139 16\n4\n1 1 0 1\n5 3 56 24\n4\n4 0 6 1\n0 2 22 3\n2\n-1 1\n1 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n0 2 6 2\n2\n-1 1\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 2\n11 3\n1\n2\n445\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n0 3 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n5 14 28 16\n4\n3 1 0 2\n5 3 19 20\n4\n4 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n3 2 1 14\n10 10 28 25\n4\n1 1 0 2\n5 3 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n0 2 1 14\n5 10 28 16\n4\n1 1 0 2\n5 3 37 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n0 3\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 2\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 3 16\n4\n1 1 0 2\n1 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 2 1 14\n5 10 21 16\n4\n1 2 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 47 16\n4\n2 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 56 24\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n6 10 15 20\n4\n2 2 4 1\n2 8 19 2\n2\n2 1\n5 9\n1\n1\n25\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 1 7\n5 10 28 16\n4\n1 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 8 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n0 0 1 8\n8 10 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 8 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 2 1 14\n10 10 28 25\n4\n1 1 0 2\n5 2 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 1\n5 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 1 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n5 10 3 16\n4\n1 1 0 2\n0 0 37 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n2\n666\n",
"5\n4\n3 3 1 14\n5 10 47 27\n4\n2 1 0 2\n5 3 56 24\n4\n8 0 6 1\n1 2 19 3\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 6 24\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 2 4 4\n5 10 15 13\n4\n1 2 0 2\n5 17 15 33\n4\n2 2 3 1\n2 8 19 1\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n1 3 1 8\n5 10 15 27\n4\n0 2 2 2\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n900\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n10 9\n1\n1\n1045\n",
"5\n4\n3 2 1 14\n14 10 28 25\n4\n1 1 0 2\n5 2 19 20\n4\n4 3 6 1\n0 9 19 2\n2\n0 1\n1 9\n1\n1\n666\n",
"5\n4\n4 3 1 14\n3 10 28 16\n4\n1 1 -1 1\n9 3 52 20\n4\n4 4 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n0 9 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 2 1 14\n5 10 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 10 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n10 10 87 16\n4\n1 1 0 1\n5 3 9 26\n4\n4 0 6 1\n-1 1 6 2\n2\n-1 1\n0 18\n1\n1\n808\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n2 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 15 27\n4\n0 2 2 2\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n900\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n1 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n10 9\n1\n1\n1045\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 19 2\n2\n0 1\n0 3\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n0 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n2 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 2\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 10\n1\n1\n1\n",
"5\n4\n2 5 0 8\n6 10 15 20\n4\n1 2 2 2\n8 10 19 20\n4\n2 2 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 7\n5 14 28 16\n4\n0 1 0 2\n5 10 19 31\n4\n4 2 6 1\n0 15 8 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 0 1 8\n8 7 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n3 14 28 16\n4\n3 1 0 2\n5 3 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 19 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 1 2 2\n5 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n4 0 6 1\n0 9 19 2\n2\n0 1\n1 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 0 11 1\n0 2 19 2\n2\n0 2\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 10\n1\n1\n1\n",
"5\n4\n1 3 1 8\n5 7 15 27\n4\n0 2 2 0\n5 8 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n0 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n10 1\n1\n1\n1045\n",
"5\n4\n1 1 1 8\n8 7 28 5\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 0 2\n5 3 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 28 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 2 2 2\n5 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 3 1 14\n10 4 47 16\n4\n1 1 0 1\n5 6 6 19\n4\n0 -1 11 1\n0 2 19 2\n2\n0 2\n0 18\n1\n1\n666\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 8 19 2\n2\n2 1\n5 14\n1\n1\n1\n",
"5\n4\n1 3 2 3\n5 10 15 16\n4\n0 1 0 2\n5 15 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 2\n10 1\n1\n1\n1045\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 0 2\n5 5 16 20\n4\n4 0 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 14\n5 12 29 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n0 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 1 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 24\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 26\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 18\n1\n1\n808\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 20\n4\n2 2 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 1 1 8\n8 7 28 5\n4\n1 1 0 2\n5 16 19 20\n4\n2 3 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n8 0 6 1\n0 9 19 3\n2\n0 1\n1 18\n1\n1\n102\n",
"5\n4\n3 0 1 19\n10 10 87 16\n4\n1 1 0 1\n5 0 56 9\n4\n5 2 6 1\n0 2 22 2\n2\n-1 1\n1 18\n1\n1\n1304\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 18\n1\n1\n808\n",
"5\n4\n1 3 0 4\n5 9 15 20\n4\n1 2 2 3\n6 10 15 20\n4\n4 2 4 1\n2 4 19 2\n2\n2 0\n5 14\n1\n1\n1\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 20\n4\n2 4 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 15 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 1 1 8\n6 7 28 5\n4\n1 1 0 2\n5 16 19 20\n4\n2 3 6 1\n0 0 30 2\n2\n1 1\n6 9\n1\n1\n441\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 -1 2\n5 5 16 20\n4\n4 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 16\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 4 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n6 2 1 14\n5 0 21 27\n4\n1 0 1 1\n10 3 56 24\n4\n8 0 6 1\n0 9 19 6\n2\n0 1\n1 18\n1\n1\n102\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 0 6 1\n-1 1 6 2\n2\n-2 1\n0 30\n1\n1\n808\n",
"5\n4\n2 5 -2 8\n6 10 15 20\n4\n1 2 2 3\n8 10 19 34\n4\n2 4 4 1\n1 8 35 2\n2\n0 1\n6 9\n1\n0\n253\n",
"5\n4\n1 3 1 8\n5 7 11 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n1 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 8 6 0\n-1 7 19 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 7 11 17\n4\n0 4 2 0\n5 5 19 20\n4\n0 2 6 1\n0 8 19 2\n2\n1 1\n6 9\n1\n2\n1750\n",
"5\n4\n1 3 1 7\n5 23 28 16\n4\n0 1 1 2\n5 10 19 31\n4\n4 2 6 1\n0 14 8 0\n2\n1 1\n2 9\n1\n1\n666\n",
"5\n4\n3 3 1 14\n4 14 28 16\n4\n3 1 -1 2\n1 5 16 20\n4\n2 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 3 33 20\n4\n4 3 9 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 3 2 23\n5 10 28 18\n4\n1 2 2 2\n0 5 37 43\n4\n4 8 6 0\n-1 7 21 2\n2\n0 1\n2 18\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 1 6 1\n-1 1 4 2\n2\n-2 1\n0 30\n1\n1\n808\n",
"5\n4\n3 3 1 14\n4 14 40 16\n4\n3 1 -1 2\n1 5 16 20\n4\n2 0 6 0\n0 8 19 2\n2\n1 1\n6 9\n1\n0\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 33 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n3 0 1 14\n8 10 87 16\n4\n1 1 0 1\n5 3 12 6\n4\n6 1 6 1\n-1 1 1 2\n2\n-2 1\n0 30\n1\n0\n808\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 62 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n2 1 0 2\n5 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n4 1 0 2\n5 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n5 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n0 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 29 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n-1 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n0 2 1 7\n10 12 38 8\n4\n4 1 0 2\n3 0 23 20\n4\n4 3 10 1\n-1 9 5 2\n2\n1 1\n0 2\n1\n1\n666\n",
"5\n4\n1 2 2 4\n5 10 15 20\n4\n1 2 1 2\n5 10 15 20\n4\n2 2 4 1\n2 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 3 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 20\n4\n1 2 2 2\n5 10 19 20\n4\n2 2 4 1\n1 8 19 2\n2\n1 0\n6 9\n1\n1\n666\n",
"5\n4\n1 3 0 8\n5 10 15 16\n4\n1 2 2 2\n5 10 19 1\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 2 2\n5 10 19 20\n4\n2 2 6 1\n1 8 19 1\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 15 16\n4\n1 1 0 2\n5 10 37 20\n4\n2 2 6 1\n1 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n",
"5\n4\n1 3 1 8\n5 10 28 16\n4\n1 1 0 2\n5 10 19 20\n4\n2 2 6 1\n2 8 19 2\n2\n1 1\n6 9\n1\n1\n666\n"
],
"output": [
"\n35\n30\n42\n0\n0\n",
"35\n30\n40\n0\n0\n",
"35\n25\n40\n0\n0\n",
"35\n29\n40\n0\n0\n",
"35\n29\n41\n0\n0\n",
"31\n29\n41\n0\n0\n",
"22\n29\n41\n0\n0\n",
"22\n38\n41\n0\n0\n",
"46\n38\n41\n0\n0\n",
"57\n38\n41\n0\n0\n",
"57\n38\n42\n0\n0\n",
"57\n48\n42\n0\n0\n",
"57\n48\n50\n0\n0\n",
"52\n48\n50\n0\n0\n",
"52\n48\n52\n0\n0\n",
"52\n48\n43\n0\n0\n",
"52\n81\n43\n0\n0\n",
"52\n81\n43\n8\n0\n",
"52\n81\n43\n17\n0\n",
"52\n85\n43\n17\n0\n",
"52\n85\n52\n17\n0\n",
"46\n85\n52\n17\n0\n",
"46\n66\n52\n17\n0\n",
"46\n104\n52\n17\n0\n",
"90\n104\n52\n17\n0\n",
"90\n104\n40\n17\n0\n",
"80\n104\n40\n17\n0\n",
"160\n104\n40\n17\n0\n",
"160\n104\n46\n17\n0\n",
"160\n0\n46\n17\n0\n",
"160\n0\n46\n18\n0\n",
"35\n35\n42\n0\n0\n",
"35\n30\n46\n0\n0\n",
"49\n25\n40\n0\n0\n",
"35\n25\n40\n3\n0\n",
"35\n27\n40\n0\n0\n",
"32\n29\n40\n0\n0\n",
"65\n29\n41\n0\n0\n",
"44\n38\n41\n0\n0\n",
"22\n33\n41\n0\n0\n",
"48\n38\n42\n0\n0\n",
"57\n48\n52\n0\n0\n",
"52\n36\n50\n0\n0\n",
"52\n48\n52\n8\n0\n",
"104\n48\n43\n0\n0\n",
"52\n81\n51\n0\n0\n",
"52\n81\n43\n2\n0\n",
"57\n81\n43\n17\n0\n",
"52\n83\n52\n17\n0\n",
"46\n66\n52\n0\n0\n",
"38\n104\n52\n17\n0\n",
"90\n101\n52\n17\n0\n",
"90\n104\n37\n17\n0\n",
"160\n104\n41\n17\n0\n",
"160\n104\n47\n17\n0\n",
"35\n61\n42\n0\n0\n",
"39\n25\n40\n0\n0\n",
"35\n27\n46\n0\n0\n",
"65\n29\n23\n0\n0\n",
"46\n38\n48\n0\n0\n",
"57\n48\n52\n8\n0\n",
"52\n81\n47\n0\n0\n",
"57\n81\n43\n2\n0\n",
"57\n111\n43\n17\n0\n",
"52\n88\n52\n17\n0\n",
"38\n99\n52\n17\n0\n",
"90\n101\n56\n17\n0\n",
"90\n104\n38\n17\n0\n",
"80\n104\n41\n17\n0\n",
"166\n104\n47\n17\n0\n",
"160\n21\n46\n18\n0\n",
"28\n61\n42\n0\n0\n",
"69\n29\n23\n0\n0\n",
"44\n40\n41\n0\n0\n",
"22\n30\n41\n0\n0\n",
"46\n38\n50\n0\n0\n",
"50\n38\n42\n0\n0\n",
"51\n48\n52\n0\n0\n",
"66\n48\n52\n8\n0\n",
"66\n111\n43\n17\n0\n",
"52\n83\n43\n17\n0\n",
"38\n0\n52\n17\n0\n",
"80\n104\n40\n16\n0\n",
"160\n23\n46\n18\n0\n",
"35\n25\n40\n4\n0\n",
"32\n29\n72\n0\n0\n",
"35\n29\n41\n2\n0\n",
"44\n29\n41\n0\n0\n",
"31\n30\n41\n0\n0\n",
"46\n38\n64\n0\n0\n",
"51\n48\n50\n0\n0\n",
"104\n48\n63\n0\n0\n",
"57\n81\n52\n2\n0\n",
"52\n38\n43\n17\n0\n",
"52\n96\n52\n17\n0\n",
"43\n0\n52\n17\n0\n",
"90\n123\n38\n17\n0\n",
"80\n101\n40\n16\n0\n",
"270\n104\n47\n17\n0\n",
"160\n23\n14\n18\n0\n",
"35\n29\n41\n8\n0\n",
"46\n56\n64\n0\n0\n",
"50\n38\n64\n0\n0\n",
"48\n48\n50\n0\n0\n",
"51\n48\n52\n8\n0\n",
"57\n81\n52\n3\n0\n",
"63\n111\n43\n17\n0\n",
"54\n38\n43\n17\n0\n",
"31\n96\n52\n17\n0\n",
"43\n74\n52\n17\n0\n",
"90\n108\n38\n17\n0\n",
"80\n101\n38\n16\n0\n",
"35\n23\n40\n4\n0\n",
"32\n23\n72\n0\n0\n",
"46\n56\n42\n0\n0\n",
"48\n38\n64\n0\n0\n",
"51\n50\n52\n8\n0\n",
"63\n96\n43\n17\n0\n",
"54\n38\n43\n16\n0\n",
"31\n98\n52\n17\n0\n",
"101\n108\n38\n17\n0\n",
"80\n19\n38\n16\n0\n",
"28\n68\n42\n0\n0\n",
"44\n29\n48\n0\n0\n",
"31\n33\n41\n0\n0\n",
"47\n50\n52\n8\n0\n",
"63\n92\n43\n17\n0\n",
"54\n83\n43\n16\n0\n",
"54\n74\n52\n17\n0\n",
"80\n14\n38\n16\n0\n",
"160\n23\n17\n18\n0\n",
"32\n23\n72\n3\n0\n",
"50\n29\n48\n0\n0\n",
"31\n33\n48\n0\n0\n",
"57\n73\n52\n3\n0\n",
"54\n83\n41\n16\n0\n",
"86\n14\n38\n16\n0\n",
"35\n23\n40\n5\n0\n",
"32\n23\n73\n3\n0\n",
"46\n56\n44\n0\n0\n",
"48\n38\n62\n0\n0\n",
"52\n45\n50\n0\n0\n",
"57\n73\n52\n2\n0\n",
"54\n83\n42\n16\n0\n",
"70\n74\n52\n17\n0\n",
"86\n14\n38\n18\n0\n",
"35\n32\n40\n5\n0\n",
"50\n30\n48\n0\n0\n",
"31\n30\n48\n0\n0\n",
"26\n38\n62\n0\n0\n",
"50\n45\n50\n0\n0\n",
"57\n73\n24\n2\n0\n",
"54\n51\n42\n16\n0\n",
"86\n14\n40\n18\n0\n",
"35\n32\n40\n9\n0\n",
"31\n30\n48\n9\n0\n",
"50\n41\n50\n0\n0\n",
"59\n73\n24\n2\n0\n",
"54\n61\n42\n16\n0\n",
"166\n23\n14\n18\n0\n",
"32\n26\n73\n3\n0\n",
"26\n32\n62\n0\n0\n",
"70\n74\n50\n17\n0\n",
"160\n107\n46\n17\n0\n",
"166\n16\n14\n18\n0\n",
"35\n32\n36\n9\n0\n",
"32\n26\n80\n3\n0\n",
"30\n30\n48\n0\n0\n",
"25\n32\n62\n0\n0\n",
"50\n41\n46\n0\n0\n",
"59\n73\n24\n0\n0\n",
"54\n80\n42\n16\n0\n",
"70\n74\n47\n17\n0\n",
"166\n16\n14\n30\n0\n",
"32\n54\n80\n3\n0\n",
"26\n30\n48\n0\n0\n",
"56\n73\n24\n0\n0\n",
"54\n80\n50\n16\n0\n",
"26\n30\n50\n0\n0\n",
"46\n57\n44\n0\n0\n",
"50\n49\n46\n0\n0\n",
"56\n62\n24\n0\n0\n",
"54\n80\n54\n16\n0\n",
"166\n16\n10\n30\n0\n",
"74\n49\n46\n0\n0\n",
"56\n71\n24\n0\n0\n",
"166\n16\n6\n30\n0\n",
"56\n129\n24\n0\n0\n",
"56\n51\n24\n0\n0\n",
"56\n61\n24\n0\n0\n",
"56\n63\n24\n0\n0\n",
"46\n63\n24\n0\n0\n",
"46\n63\n26\n0\n0\n",
"64\n63\n26\n0\n0\n",
"35\n30\n42\n0\n0\n",
"44\n29\n40\n0\n0\n",
"35\n29\n41\n3\n0\n",
"31\n19\n41\n0\n0\n",
"22\n38\n43\n0\n0\n",
"22\n74\n41\n0\n0\n",
"46\n38\n40\n0\n0\n"
]
} | 2CODEFORCES
|
151_C. Win or Freeze_361 | You can't possibly imagine how cold our friends are this winter in Nvodsk! Two of them play the following game to warm up: initially a piece of paper has an integer q. During a move a player should write any integer number that is a non-trivial divisor of the last written number. Then he should run this number of circles around the hotel. Let us remind you that a number's divisor is called non-trivial if it is different from one and from the divided number itself.
The first person who can't make a move wins as he continues to lie in his warm bed under three blankets while the other one keeps running. Determine which player wins considering that both players play optimally. If the first player wins, print any winning first move.
Input
The first line contains the only integer q (1 ≤ q ≤ 1013).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.
Output
In the first line print the number of the winning player (1 or 2). If the first player wins then the second line should contain another integer — his first move (if the first player can't even make the first move, print 0). If there are multiple solutions, print any of them.
Examples
Input
6
Output
2
Input
30
Output
1
6
Input
1
Output
1
0
Note
Number 6 has only two non-trivial divisors: 2 and 3. It is impossible to make a move after the numbers 2 and 3 are written, so both of them are winning, thus, number 6 is the losing number. A player can make a move and write number 6 after number 30; 6, as we know, is a losing number. Thus, this move will bring us the victory. | from itertools import *
from collections import *
from operator import *
from bisect import *
from fractions import *
Ii = lambda: map(int, raw_input().split())
Is = lambda: raw_input().split()
def e_sieve(n):
'''generates primes <=n'''
sieve = [True]*(n+1)
sieve[0] = sieve[1] = False
falses = [False]*(n/2)
curr = 2
while curr*curr<=n:
sieve[curr*2::curr] = falses[:(n/curr)-1]
curr+=1
while not sieve[curr]: curr+=1
return [x for x in xrange(n) if sieve[x]]
primes = e_sieve(3200000)
def factorize(n):
'''returns a dictionary of prime factorization of n'''
d = dict()
for p in primes:
if p*p>n: break
power = 0
while n%p==0:
power+=1
n/=p
if power>0: d[p]=power
if n==1: return d
if n>1: d[n]=1
return d
n = input()
if n==1:
print 1
print 0
else:
f = factorize(n)
e = list(f.values())
k = list(f.keys())
if sum(e)==1:
print 1
print 0
elif sum(e)==2:
print 2
else:
print 1
if len(k)==1:
print k[0]*k[0]
else:
print k[0]*k[1] | 1Python2
| {
"input": [
"1\n",
"6\n",
"30\n",
"8587340257\n",
"9\n",
"81\n",
"27\n",
"1408514752349\n",
"25\n",
"49380563\n",
"266418\n",
"319757451841\n",
"6599669076000\n",
"8\n",
"1000000000000\n",
"30971726\n",
"274875809788\n",
"64\n",
"34280152201\n",
"236\n",
"472670214391\n",
"7938986881993\n",
"44\n",
"4\n",
"388\n",
"2\n",
"802241960524\n",
"3047527844089\n",
"5\n",
"12\n",
"614125\n",
"1716443237161\n",
"48855707\n",
"99\n",
"9999925100701\n",
"5839252225\n",
"3\n",
"50\n",
"1307514188557\n",
"9999926826034\n",
"1468526771489\n",
"2975\n",
"8110708459517\n",
"401120980262\n",
"5138168457911\n",
"1245373417369\n",
"128\n",
"16\n",
"2000000014\n",
"445538663413\n",
"57461344602\n",
"324\n",
"7420738134810\n",
"10803140200\n",
"14\n",
"11\n",
"174813966899\n",
"13753962\n",
"601828654335\n",
"11414141397807\n",
"10302705885747\n",
"1902165873922\n",
"144993\n",
"365292057641\n",
"1477562914357\n",
"1120127104869\n",
"4629281874338\n",
"3964991841\n",
"749785679266\n",
"575\n",
"12790022157571\n",
"322715\n",
"18446666\n",
"16843519638070\n",
"112\n",
"22\n",
"299384\n",
"7\n",
"1000001000000\n",
"10311174\n",
"346774033500\n",
"10\n",
"56787561660\n",
"375\n",
"61\n",
"458\n",
"1312973278146\n",
"20\n",
"13\n",
"1666448460762\n",
"92910644\n",
"18\n",
"10227774774808\n",
"51907547\n",
"40\n",
"12267984483444\n",
"1707\n",
"501925883142\n",
"12940951530\n",
"256\n",
"23\n",
"945192754\n",
"19\n",
"15\n",
"18686466796\n",
"26\n",
"36\n",
"33\n",
"64735700961\n",
"34\n",
"27035843\n",
"222097394644\n",
"20761030042485\n",
"1000001000010\n",
"431245125282\n",
"105380065192\n",
"17\n",
"56\n",
"2403828391173\n"
],
"output": [
"1\n0",
"2",
"1\n6",
"1\n9409",
"2",
"1\n9",
"1\n9",
"1\n72361",
"2",
"1\n289",
"1\n6",
"1\n289",
"1\n4",
"1\n4",
"1\n4",
"2",
"1\n4",
"1\n4",
"2",
"1\n4",
"1\n23020027",
"1\n378028993",
"1\n4",
"2",
"1\n4",
"1\n0",
"1\n4",
"2",
"1\n0",
"1\n4",
"1\n25",
"1\n5329",
"1\n2603",
"1\n9",
"1\n0",
"1\n25",
"1\n0",
"1\n10",
"1\n39283",
"2",
"1\n613783",
"1\n25",
"2",
"2",
"2",
"1\n908209",
"1\n4",
"1\n4",
"2",
"1\n0",
"1\n6",
"1\n4",
"1\n6",
"1\n4\n",
"2\n",
"1\n0\n",
"1\n143\n",
"1\n6\n",
"1\n15\n",
"1\n87\n",
"1\n33\n",
"1\n118\n",
"1\n51\n",
"1\n126091\n",
"1\n41161181\n",
"1\n57\n",
"1\n22\n",
"1\n9\n",
"1\n26\n",
"1\n25\n",
"1\n1003\n",
"1\n95\n",
"1\n14\n",
"1\n10\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n0\n",
"1\n4\n",
"1\n6\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n15\n",
"1\n0\n",
"2\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n6\n",
"1\n4\n",
"1\n6\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n4\n",
"2\n",
"1\n6\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n22\n",
"1\n0\n",
"2\n",
"1\n4\n",
"2\n",
"1\n4\n",
"2\n",
"2\n",
"2\n",
"1\n0\n",
"1\n4\n",
"1\n15\n",
"1\n6\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n4\n",
"1\n33\n"
]
} | 2CODEFORCES
|
151_C. Win or Freeze_362 | You can't possibly imagine how cold our friends are this winter in Nvodsk! Two of them play the following game to warm up: initially a piece of paper has an integer q. During a move a player should write any integer number that is a non-trivial divisor of the last written number. Then he should run this number of circles around the hotel. Let us remind you that a number's divisor is called non-trivial if it is different from one and from the divided number itself.
The first person who can't make a move wins as he continues to lie in his warm bed under three blankets while the other one keeps running. Determine which player wins considering that both players play optimally. If the first player wins, print any winning first move.
Input
The first line contains the only integer q (1 ≤ q ≤ 1013).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.
Output
In the first line print the number of the winning player (1 or 2). If the first player wins then the second line should contain another integer — his first move (if the first player can't even make the first move, print 0). If there are multiple solutions, print any of them.
Examples
Input
6
Output
2
Input
30
Output
1
6
Input
1
Output
1
0
Note
Number 6 has only two non-trivial divisors: 2 and 3. It is impossible to make a move after the numbers 2 and 3 are written, so both of them are winning, thus, number 6 is the losing number. A player can make a move and write number 6 after number 30; 6, as we know, is a losing number. Thus, this move will bring us the victory. | #include <bits/stdc++.h>
using namespace std;
inline int read() {
register int x = 0, f = 1, ch = getchar();
while (!isdigit(ch)) {
if (ch == '-') f = -1;
ch = getchar();
}
while (isdigit(ch)) {
x = x * 10 + ch - '0';
ch = getchar();
}
return x * f;
}
bool prim(long long x) {
if (x == 1ll || x == 4ll) return false;
if (x <= 5ll) return true;
int m = (int)sqrt(x);
if (x % 6 != 1 && x % 6 != 5) return false;
for (int i = 5; i <= m; i += 6) {
if ((x % i == 0) || (x % (i + 2) == 0)) return false;
}
return true;
}
bool pr[10000000];
void prime(int n) {
pr[1] = true;
for (int i = 2; i <= n; i++) {
if (!pr[i]) {
for (int j = 2; j * i <= n; j++) {
pr[i * j] = true;
}
}
}
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
long long x;
cin >> x;
if (x == 1) {
cout << 1 << '\n' << 0 << '\n';
} else if (prim(x)) {
cout << 1 << '\n';
cout << 0 << '\n';
} else {
prime((int)sqrt(x));
int res = 0, b = -1, up = -1;
for (int i = 2; i * 1ll * i <= x; ++i) {
if (!pr[i] && (x % (i * 1ll) == 0)) {
res++;
if (up == -1)
up = i;
else if (b == -1)
b = i;
}
if (res >= 3) break;
}
if (res < 1) {
cout << 2 << '\n';
} else if (res == 1) {
if (x % (up * up * 1ll) == 0 && (up * up) != x) {
cout << 1 << '\n';
cout << up * 1ll * up << '\n';
} else {
cout << 2 << '\n';
}
} else if (res == 2 && up * 1ll * b == x) {
cout << 2 << '\n';
} else {
cout << 1 << '\n';
cout << up * 1ll * b << '\n';
}
}
return 0;
}
| 2C++
| {
"input": [
"1\n",
"6\n",
"30\n",
"8587340257\n",
"9\n",
"81\n",
"27\n",
"1408514752349\n",
"25\n",
"49380563\n",
"266418\n",
"319757451841\n",
"6599669076000\n",
"8\n",
"1000000000000\n",
"30971726\n",
"274875809788\n",
"64\n",
"34280152201\n",
"236\n",
"472670214391\n",
"7938986881993\n",
"44\n",
"4\n",
"388\n",
"2\n",
"802241960524\n",
"3047527844089\n",
"5\n",
"12\n",
"614125\n",
"1716443237161\n",
"48855707\n",
"99\n",
"9999925100701\n",
"5839252225\n",
"3\n",
"50\n",
"1307514188557\n",
"9999926826034\n",
"1468526771489\n",
"2975\n",
"8110708459517\n",
"401120980262\n",
"5138168457911\n",
"1245373417369\n",
"128\n",
"16\n",
"2000000014\n",
"445538663413\n",
"57461344602\n",
"324\n",
"7420738134810\n",
"10803140200\n",
"14\n",
"11\n",
"174813966899\n",
"13753962\n",
"601828654335\n",
"11414141397807\n",
"10302705885747\n",
"1902165873922\n",
"144993\n",
"365292057641\n",
"1477562914357\n",
"1120127104869\n",
"4629281874338\n",
"3964991841\n",
"749785679266\n",
"575\n",
"12790022157571\n",
"322715\n",
"18446666\n",
"16843519638070\n",
"112\n",
"22\n",
"299384\n",
"7\n",
"1000001000000\n",
"10311174\n",
"346774033500\n",
"10\n",
"56787561660\n",
"375\n",
"61\n",
"458\n",
"1312973278146\n",
"20\n",
"13\n",
"1666448460762\n",
"92910644\n",
"18\n",
"10227774774808\n",
"51907547\n",
"40\n",
"12267984483444\n",
"1707\n",
"501925883142\n",
"12940951530\n",
"256\n",
"23\n",
"945192754\n",
"19\n",
"15\n",
"18686466796\n",
"26\n",
"36\n",
"33\n",
"64735700961\n",
"34\n",
"27035843\n",
"222097394644\n",
"20761030042485\n",
"1000001000010\n",
"431245125282\n",
"105380065192\n",
"17\n",
"56\n",
"2403828391173\n"
],
"output": [
"1\n0",
"2",
"1\n6",
"1\n9409",
"2",
"1\n9",
"1\n9",
"1\n72361",
"2",
"1\n289",
"1\n6",
"1\n289",
"1\n4",
"1\n4",
"1\n4",
"2",
"1\n4",
"1\n4",
"2",
"1\n4",
"1\n23020027",
"1\n378028993",
"1\n4",
"2",
"1\n4",
"1\n0",
"1\n4",
"2",
"1\n0",
"1\n4",
"1\n25",
"1\n5329",
"1\n2603",
"1\n9",
"1\n0",
"1\n25",
"1\n0",
"1\n10",
"1\n39283",
"2",
"1\n613783",
"1\n25",
"2",
"2",
"2",
"1\n908209",
"1\n4",
"1\n4",
"2",
"1\n0",
"1\n6",
"1\n4",
"1\n6",
"1\n4\n",
"2\n",
"1\n0\n",
"1\n143\n",
"1\n6\n",
"1\n15\n",
"1\n87\n",
"1\n33\n",
"1\n118\n",
"1\n51\n",
"1\n126091\n",
"1\n41161181\n",
"1\n57\n",
"1\n22\n",
"1\n9\n",
"1\n26\n",
"1\n25\n",
"1\n1003\n",
"1\n95\n",
"1\n14\n",
"1\n10\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n0\n",
"1\n4\n",
"1\n6\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n15\n",
"1\n0\n",
"2\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n6\n",
"1\n4\n",
"1\n6\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n4\n",
"2\n",
"1\n6\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n22\n",
"1\n0\n",
"2\n",
"1\n4\n",
"2\n",
"1\n4\n",
"2\n",
"2\n",
"2\n",
"1\n0\n",
"1\n4\n",
"1\n15\n",
"1\n6\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n4\n",
"1\n33\n"
]
} | 2CODEFORCES
|
151_C. Win or Freeze_363 | You can't possibly imagine how cold our friends are this winter in Nvodsk! Two of them play the following game to warm up: initially a piece of paper has an integer q. During a move a player should write any integer number that is a non-trivial divisor of the last written number. Then he should run this number of circles around the hotel. Let us remind you that a number's divisor is called non-trivial if it is different from one and from the divided number itself.
The first person who can't make a move wins as he continues to lie in his warm bed under three blankets while the other one keeps running. Determine which player wins considering that both players play optimally. If the first player wins, print any winning first move.
Input
The first line contains the only integer q (1 ≤ q ≤ 1013).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.
Output
In the first line print the number of the winning player (1 or 2). If the first player wins then the second line should contain another integer — his first move (if the first player can't even make the first move, print 0). If there are multiple solutions, print any of them.
Examples
Input
6
Output
2
Input
30
Output
1
6
Input
1
Output
1
0
Note
Number 6 has only two non-trivial divisors: 2 and 3. It is impossible to make a move after the numbers 2 and 3 are written, so both of them are winning, thus, number 6 is the losing number. A player can make a move and write number 6 after number 30; 6, as we know, is a losing number. Thus, this move will bring us the victory. | import sys
line = sys.stdin.readline()
N = int(line)
tmp = N
factor = []
i = 2
while i**2 <= tmp:
if tmp % i == 0:
tmp //= i
factor.append(i)
else: i += 1
if tmp != 1: factor.append(i)
if len(factor) == 2: print(2)
else:
print(1)
if len(factor) <= 1: print(0)
else: print(factor[0] * factor[1]) | 3Python3
| {
"input": [
"1\n",
"6\n",
"30\n",
"8587340257\n",
"9\n",
"81\n",
"27\n",
"1408514752349\n",
"25\n",
"49380563\n",
"266418\n",
"319757451841\n",
"6599669076000\n",
"8\n",
"1000000000000\n",
"30971726\n",
"274875809788\n",
"64\n",
"34280152201\n",
"236\n",
"472670214391\n",
"7938986881993\n",
"44\n",
"4\n",
"388\n",
"2\n",
"802241960524\n",
"3047527844089\n",
"5\n",
"12\n",
"614125\n",
"1716443237161\n",
"48855707\n",
"99\n",
"9999925100701\n",
"5839252225\n",
"3\n",
"50\n",
"1307514188557\n",
"9999926826034\n",
"1468526771489\n",
"2975\n",
"8110708459517\n",
"401120980262\n",
"5138168457911\n",
"1245373417369\n",
"128\n",
"16\n",
"2000000014\n",
"445538663413\n",
"57461344602\n",
"324\n",
"7420738134810\n",
"10803140200\n",
"14\n",
"11\n",
"174813966899\n",
"13753962\n",
"601828654335\n",
"11414141397807\n",
"10302705885747\n",
"1902165873922\n",
"144993\n",
"365292057641\n",
"1477562914357\n",
"1120127104869\n",
"4629281874338\n",
"3964991841\n",
"749785679266\n",
"575\n",
"12790022157571\n",
"322715\n",
"18446666\n",
"16843519638070\n",
"112\n",
"22\n",
"299384\n",
"7\n",
"1000001000000\n",
"10311174\n",
"346774033500\n",
"10\n",
"56787561660\n",
"375\n",
"61\n",
"458\n",
"1312973278146\n",
"20\n",
"13\n",
"1666448460762\n",
"92910644\n",
"18\n",
"10227774774808\n",
"51907547\n",
"40\n",
"12267984483444\n",
"1707\n",
"501925883142\n",
"12940951530\n",
"256\n",
"23\n",
"945192754\n",
"19\n",
"15\n",
"18686466796\n",
"26\n",
"36\n",
"33\n",
"64735700961\n",
"34\n",
"27035843\n",
"222097394644\n",
"20761030042485\n",
"1000001000010\n",
"431245125282\n",
"105380065192\n",
"17\n",
"56\n",
"2403828391173\n"
],
"output": [
"1\n0",
"2",
"1\n6",
"1\n9409",
"2",
"1\n9",
"1\n9",
"1\n72361",
"2",
"1\n289",
"1\n6",
"1\n289",
"1\n4",
"1\n4",
"1\n4",
"2",
"1\n4",
"1\n4",
"2",
"1\n4",
"1\n23020027",
"1\n378028993",
"1\n4",
"2",
"1\n4",
"1\n0",
"1\n4",
"2",
"1\n0",
"1\n4",
"1\n25",
"1\n5329",
"1\n2603",
"1\n9",
"1\n0",
"1\n25",
"1\n0",
"1\n10",
"1\n39283",
"2",
"1\n613783",
"1\n25",
"2",
"2",
"2",
"1\n908209",
"1\n4",
"1\n4",
"2",
"1\n0",
"1\n6",
"1\n4",
"1\n6",
"1\n4\n",
"2\n",
"1\n0\n",
"1\n143\n",
"1\n6\n",
"1\n15\n",
"1\n87\n",
"1\n33\n",
"1\n118\n",
"1\n51\n",
"1\n126091\n",
"1\n41161181\n",
"1\n57\n",
"1\n22\n",
"1\n9\n",
"1\n26\n",
"1\n25\n",
"1\n1003\n",
"1\n95\n",
"1\n14\n",
"1\n10\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n0\n",
"1\n4\n",
"1\n6\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n15\n",
"1\n0\n",
"2\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n6\n",
"1\n4\n",
"1\n6\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n4\n",
"2\n",
"1\n6\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n22\n",
"1\n0\n",
"2\n",
"1\n4\n",
"2\n",
"1\n4\n",
"2\n",
"2\n",
"2\n",
"1\n0\n",
"1\n4\n",
"1\n15\n",
"1\n6\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n4\n",
"1\n33\n"
]
} | 2CODEFORCES
|
151_C. Win or Freeze_364 | You can't possibly imagine how cold our friends are this winter in Nvodsk! Two of them play the following game to warm up: initially a piece of paper has an integer q. During a move a player should write any integer number that is a non-trivial divisor of the last written number. Then he should run this number of circles around the hotel. Let us remind you that a number's divisor is called non-trivial if it is different from one and from the divided number itself.
The first person who can't make a move wins as he continues to lie in his warm bed under three blankets while the other one keeps running. Determine which player wins considering that both players play optimally. If the first player wins, print any winning first move.
Input
The first line contains the only integer q (1 ≤ q ≤ 1013).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.
Output
In the first line print the number of the winning player (1 or 2). If the first player wins then the second line should contain another integer — his first move (if the first player can't even make the first move, print 0). If there are multiple solutions, print any of them.
Examples
Input
6
Output
2
Input
30
Output
1
6
Input
1
Output
1
0
Note
Number 6 has only two non-trivial divisors: 2 and 3. It is impossible to make a move after the numbers 2 and 3 are written, so both of them are winning, thus, number 6 is the losing number. A player can make a move and write number 6 after number 30; 6, as we know, is a losing number. Thus, this move will bring us the victory. | import java.io.*;
import java.util.*;
public class c{
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
long s = sc.nextLong();
long[][] factors = getFactors(s);
long tot = 0;
for(int i = 0; i < factors.length; i++){
tot += factors[i][1];
}
boolean res = isWinner(tot);
if(res){
System.out.println("1");
if(tot<=1){
System.out.println("0");
}
else{
System.out.println(getMove(factors,memoRes.get(tot)));
}
}
else{
System.out.println("2");
}
}
public static long getMove(long[][] fact, long num){
int ptr = 0;
long res = 1;
while(num>0){
while(fact[ptr][1]>0 && num > 0){
res *= fact[ptr][0];
num--;
fact[ptr][1]--;
}
ptr++;
}
return res;
}
public static HashMap<Long,Boolean> memo = new HashMap<Long,Boolean>();
public static HashMap<Long,Long> memoRes = new HashMap<Long,Long>();
public static boolean isWinner(long s){
if(memo.containsKey(s)){
return memo.get(s).booleanValue();
}
if(s==1) return true;
if(s==0) return true;
boolean hasLosingState = false;
for(long ns = 1; ns < s; ns++){
if(!isWinner(ns)){
hasLosingState = true;
memoRes.put(s,ns);
}
}
//System.out.println(s + ": " + hasLosingState);
memo.put(s,hasLosingState);
return hasLosingState;
}
public static long[][] getFactors(long n){
HashMap<Long,Long> map = new HashMap<Long,Long>();
long d = 2;
while(n%d==0){ incMap(map,d); n/=d;}
long end = (long)Math.sqrt(n);
for(d = 3l; d <= end; d += 2){
while(n%d==0){ incMap(map,d); n/=d;}
}
if(n!=1)
incMap(map,n);
long[][] ret = new long[map.size()][2];
int ptr = 0;
for(Long k:map.keySet()){
ret[ptr][0] = k.longValue();
ret[ptr++][1] = map.get(k).longValue();
//System.out.println(Arrays.toString(ret[ptr-1]));
}
return ret;
}
public static void incMap(HashMap<Long,Long> map,long d){
if(map.containsKey(new Long(d))){
Long r = map.get(new Long(d));
map.remove(new Long(d));
map.put(new Long(d),new Long(r.longValue()+1));
}
else{
map.put(new Long(d),new Long(1));
}
}
}
//n** {{6}}
//n** {{16}}
//n** {{30}}
//n** {{1}}
//n** {{2}}
//n** {{3}}
//n** {{4}}
//n** {{5}}
| 4JAVA
| {
"input": [
"1\n",
"6\n",
"30\n",
"8587340257\n",
"9\n",
"81\n",
"27\n",
"1408514752349\n",
"25\n",
"49380563\n",
"266418\n",
"319757451841\n",
"6599669076000\n",
"8\n",
"1000000000000\n",
"30971726\n",
"274875809788\n",
"64\n",
"34280152201\n",
"236\n",
"472670214391\n",
"7938986881993\n",
"44\n",
"4\n",
"388\n",
"2\n",
"802241960524\n",
"3047527844089\n",
"5\n",
"12\n",
"614125\n",
"1716443237161\n",
"48855707\n",
"99\n",
"9999925100701\n",
"5839252225\n",
"3\n",
"50\n",
"1307514188557\n",
"9999926826034\n",
"1468526771489\n",
"2975\n",
"8110708459517\n",
"401120980262\n",
"5138168457911\n",
"1245373417369\n",
"128\n",
"16\n",
"2000000014\n",
"445538663413\n",
"57461344602\n",
"324\n",
"7420738134810\n",
"10803140200\n",
"14\n",
"11\n",
"174813966899\n",
"13753962\n",
"601828654335\n",
"11414141397807\n",
"10302705885747\n",
"1902165873922\n",
"144993\n",
"365292057641\n",
"1477562914357\n",
"1120127104869\n",
"4629281874338\n",
"3964991841\n",
"749785679266\n",
"575\n",
"12790022157571\n",
"322715\n",
"18446666\n",
"16843519638070\n",
"112\n",
"22\n",
"299384\n",
"7\n",
"1000001000000\n",
"10311174\n",
"346774033500\n",
"10\n",
"56787561660\n",
"375\n",
"61\n",
"458\n",
"1312973278146\n",
"20\n",
"13\n",
"1666448460762\n",
"92910644\n",
"18\n",
"10227774774808\n",
"51907547\n",
"40\n",
"12267984483444\n",
"1707\n",
"501925883142\n",
"12940951530\n",
"256\n",
"23\n",
"945192754\n",
"19\n",
"15\n",
"18686466796\n",
"26\n",
"36\n",
"33\n",
"64735700961\n",
"34\n",
"27035843\n",
"222097394644\n",
"20761030042485\n",
"1000001000010\n",
"431245125282\n",
"105380065192\n",
"17\n",
"56\n",
"2403828391173\n"
],
"output": [
"1\n0",
"2",
"1\n6",
"1\n9409",
"2",
"1\n9",
"1\n9",
"1\n72361",
"2",
"1\n289",
"1\n6",
"1\n289",
"1\n4",
"1\n4",
"1\n4",
"2",
"1\n4",
"1\n4",
"2",
"1\n4",
"1\n23020027",
"1\n378028993",
"1\n4",
"2",
"1\n4",
"1\n0",
"1\n4",
"2",
"1\n0",
"1\n4",
"1\n25",
"1\n5329",
"1\n2603",
"1\n9",
"1\n0",
"1\n25",
"1\n0",
"1\n10",
"1\n39283",
"2",
"1\n613783",
"1\n25",
"2",
"2",
"2",
"1\n908209",
"1\n4",
"1\n4",
"2",
"1\n0",
"1\n6",
"1\n4",
"1\n6",
"1\n4\n",
"2\n",
"1\n0\n",
"1\n143\n",
"1\n6\n",
"1\n15\n",
"1\n87\n",
"1\n33\n",
"1\n118\n",
"1\n51\n",
"1\n126091\n",
"1\n41161181\n",
"1\n57\n",
"1\n22\n",
"1\n9\n",
"1\n26\n",
"1\n25\n",
"1\n1003\n",
"1\n95\n",
"1\n14\n",
"1\n10\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n0\n",
"1\n4\n",
"1\n6\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n15\n",
"1\n0\n",
"2\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n6\n",
"1\n4\n",
"1\n6\n",
"1\n4\n",
"2\n",
"1\n4\n",
"1\n4\n",
"2\n",
"1\n6\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n22\n",
"1\n0\n",
"2\n",
"1\n4\n",
"2\n",
"1\n4\n",
"2\n",
"2\n",
"2\n",
"1\n0\n",
"1\n4\n",
"1\n15\n",
"1\n6\n",
"1\n6\n",
"1\n4\n",
"1\n0\n",
"1\n4\n",
"1\n33\n"
]
} | 2CODEFORCES
|
1547_C. Pair Programming_365 | Monocarp and Polycarp are learning new programming techniques. Now they decided to try pair programming.
It's known that they have worked together on the same file for n + m minutes. Every minute exactly one of them made one change to the file. Before they started, there were already k lines written in the file.
Every minute exactly one of them does one of two actions: adds a new line to the end of the file or changes one of its lines.
Monocarp worked in total for n minutes and performed the sequence of actions [a_1, a_2, ..., a_n]. If a_i = 0, then he adds a new line to the end of the file. If a_i > 0, then he changes the line with the number a_i. Monocarp performed actions strictly in this order: a_1, then a_2, ..., a_n.
Polycarp worked in total for m minutes and performed the sequence of actions [b_1, b_2, ..., b_m]. If b_j = 0, then he adds a new line to the end of the file. If b_j > 0, then he changes the line with the number b_j. Polycarp performed actions strictly in this order: b_1, then b_2, ..., b_m.
Restore their common sequence of actions of length n + m such that all actions would be correct — there should be no changes to lines that do not yet exist. Keep in mind that in the common sequence Monocarp's actions should form the subsequence [a_1, a_2, ..., a_n] and Polycarp's — subsequence [b_1, b_2, ..., b_m]. They can replace each other at the computer any number of times.
Let's look at an example. Suppose k = 3. Monocarp first changed the line with the number 2 and then added a new line (thus, n = 2, \: a = [2, 0]). Polycarp first added a new line and then changed the line with the number 5 (thus, m = 2, \: b = [0, 5]).
Since the initial length of the file was 3, in order for Polycarp to change line number 5 two new lines must be added beforehand. Examples of correct sequences of changes, in this case, would be [0, 2, 0, 5] and [2, 0, 0, 5]. Changes [0, 0, 5, 2] (wrong order of actions) and [0, 5, 2, 0] (line 5 cannot be edited yet) are not correct.
Input
The first line contains an integer t (1 ≤ t ≤ 1000). Then t test cases follow. Before each test case, there is an empty line.
Each test case contains three lines. The first line contains three integers k, n, m (0 ≤ k ≤ 100, 1 ≤ n, m ≤ 100) — the initial number of lines in file and lengths of Monocarp's and Polycarp's sequences of changes respectively.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 300).
The third line contains m integers b_1, b_2, ..., b_m (0 ≤ b_j ≤ 300).
Output
For each test case print any correct common sequence of Monocarp's and Polycarp's actions of length n + m or -1 if such sequence doesn't exist.
Example
Input
5
3 2 2
2 0
0 5
4 3 2
2 0 5
0 6
0 2 2
1 0
2 3
5 4 4
6 0 8 0
0 7 0 9
5 4 1
8 7 8 0
0
Output
2 0 0 5
0 2 0 6 5
-1
0 6 0 7 0 8 0 9
-1 | from __future__ import division, print_function
import os
import sys
from io import BytesIO, IOBase
def main():
pass
# region fastio
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")
def print(*args, **kwargs):
"""Prints the values to a stream, or to sys.stdout by default."""
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()
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)
input = lambda: sys.stdin.readline().rstrip("\r\n")
t = int(input().rstrip())
for _ in range(t):
str1 = input()
k, n, m = list(map(int, input().rstrip().split()))
list1 = list(map(int, input().rstrip().split()))
list2 = list(map(int, input().rstrip().split()))
list3 = []
result = True
t1 = 0
t2 = 0
while True:
if t1 == n and t2 == m:
break
if t1 < n:
if list1[t1] == 0:
k += 1
t1 += 1
list3.append(0)
else:
if list1[t1] <= k:
list3.append(list1[t1])
t1 += 1
else:
if t2 == m:
result = False
break
elif list2[t2] > k:
result = False
break
if t2 < m:
if list2[t2] == 0:
k += 1
t2 += 1
list3.append(0)
else:
if list2[t2] <= k:
list3.append(list2[t2])
t2 += 1
else:
if t1 == n:
result = False
break
elif list1[t1] > k:
result = False
break
if result is False:
print(-1)
else:
print(*list3) | 1Python2
| {
"input": [
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n-1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 -1 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 -1\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 1 8 0\n0 7 0 13\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n-1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n0 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n1 2 2\n1 0\n2 2\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n4 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n10 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n20 4 1\n8 7 2 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n20 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n0 0\n1 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n4 3\n\n5 4 4\n10 0 15 0\n0 7 0 9\n\n5 4 1\n0 7 9 2\n-1\n",
"5\n\n0 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 0\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 2 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n20 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n10 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n0 0\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n5 7 8 1\n0\n",
"5\n\n3 2 2\n4 0\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 0\n0\n",
"5\n\n3 2 2\n4 0\n0 5\n\n3 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n10 4 1\n8 7 5 0\n0\n",
"5\n\n0 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 7\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 7 1 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n1 0 5\n1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 4\n0 0\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n5 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n0 2 2\n1 0\n4 3\n\n5 4 2\n6 1 8 0\n0 7 0 13\n\n5 2 1\n8 7 12 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n0 0\n2 2\n\n0 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 8 0 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 2\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n10 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 1\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 10 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n0 0\n0 4\n\n4 3 2\n2 0 10\n-2 2\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n0 1 8 0\n0 4 0 13\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 1\n\n5 4 4\n12 0 8 0\n1 5 0 10\n\n9 4 1\n7 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n0 3 2\n2 0 5\n-1 6\n\n0 2 2\n0 0\n2 2\n\n0 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 8 0 0\n0\n",
"5\n\n2 2 2\n1 1\n0 7\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n2 8\n\n5 4 4\n2 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 1\n0 6\n\n0 2 1\n1 0\n2 3\n\n5 4 4\n6 0 10 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 0\n0 6\n\n0 2 1\n1 0\n2 3\n\n5 4 4\n6 0 10 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n0 2 2\n2 0\n0 5\n\n4 3 2\n2 2 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 0 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n20 4 1\n8 2 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 6 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n3 7 9 4\n-1\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n1 2 2\n1 0\n2 2\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 3\n0 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n1\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 2\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n-1 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 14 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 12 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 2\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n6 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 2 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n3 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n1 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n3 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 12\n\n0 2 2\n2 0\n2 3\n\n5 4 2\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n6 4 4\n6 0 15 0\n0 7 0 9\n\n5 2 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 10\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 -1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 13 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 1\n2 3\n\n5 4 4\n6 0 8 0\n1 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n3 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 1\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 0 0\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 2\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n"
],
"output": [
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 2 0 5\n0 1 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 1 0 5 6\n-1\n-1\n-1\n",
"-1\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 0 0 5\n-1\n-1\n-1\n-1\n",
"0 1 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 0 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 3 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 0 1 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n1 0 2 2\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 2 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 8 1\n",
"0 0 1 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 1 0 5\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 0 2 0\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n-1\n0 8 7 8 1\n",
"0 2 0 5\n-1\n-1\n-1\n0 10 7 8 0\n",
"0 1 0 5\n0 1 0 5 6\n-1\n-1\n-1\n",
"0 0 0 5\n0 0 2 0 5\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n-1\n0 8 7 5 0\n",
"-1\n-1\n-1\n-1\n0 8 7 1 0\n",
"0 1 0 5\n-1\n-1\n-1\n-1\n",
"0 0 0 5\n0 0 2 0 4\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 3 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n0 0 2 2\n-1\n-1\n",
"0 0 0 5\n-1\n-1\n-1\n0 10 7 8 0\n",
"-1\n0 2 0 1 6\n-1\n-1\n-1\n",
"0 0 0 4\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 7 7 8 0\n",
"0 1 0 5\n-1\n0 0 2 2\n-1\n-1\n",
"-1\n-1\n-1\n0 2 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 1 6\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 0 6\n-1\n-1\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"0 3 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 2 8 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 6 8 0\n",
"0 0 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 1 0 5\n-1\n1 0 2 2\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 3 6\n-1\n-1\n-1\n",
"0 3 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"-1\n0 1 0 5 6\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n"
]
} | 2CODEFORCES
|
1547_C. Pair Programming_366 | Monocarp and Polycarp are learning new programming techniques. Now they decided to try pair programming.
It's known that they have worked together on the same file for n + m minutes. Every minute exactly one of them made one change to the file. Before they started, there were already k lines written in the file.
Every minute exactly one of them does one of two actions: adds a new line to the end of the file or changes one of its lines.
Monocarp worked in total for n minutes and performed the sequence of actions [a_1, a_2, ..., a_n]. If a_i = 0, then he adds a new line to the end of the file. If a_i > 0, then he changes the line with the number a_i. Monocarp performed actions strictly in this order: a_1, then a_2, ..., a_n.
Polycarp worked in total for m minutes and performed the sequence of actions [b_1, b_2, ..., b_m]. If b_j = 0, then he adds a new line to the end of the file. If b_j > 0, then he changes the line with the number b_j. Polycarp performed actions strictly in this order: b_1, then b_2, ..., b_m.
Restore their common sequence of actions of length n + m such that all actions would be correct — there should be no changes to lines that do not yet exist. Keep in mind that in the common sequence Monocarp's actions should form the subsequence [a_1, a_2, ..., a_n] and Polycarp's — subsequence [b_1, b_2, ..., b_m]. They can replace each other at the computer any number of times.
Let's look at an example. Suppose k = 3. Monocarp first changed the line with the number 2 and then added a new line (thus, n = 2, \: a = [2, 0]). Polycarp first added a new line and then changed the line with the number 5 (thus, m = 2, \: b = [0, 5]).
Since the initial length of the file was 3, in order for Polycarp to change line number 5 two new lines must be added beforehand. Examples of correct sequences of changes, in this case, would be [0, 2, 0, 5] and [2, 0, 0, 5]. Changes [0, 0, 5, 2] (wrong order of actions) and [0, 5, 2, 0] (line 5 cannot be edited yet) are not correct.
Input
The first line contains an integer t (1 ≤ t ≤ 1000). Then t test cases follow. Before each test case, there is an empty line.
Each test case contains three lines. The first line contains three integers k, n, m (0 ≤ k ≤ 100, 1 ≤ n, m ≤ 100) — the initial number of lines in file and lengths of Monocarp's and Polycarp's sequences of changes respectively.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 300).
The third line contains m integers b_1, b_2, ..., b_m (0 ≤ b_j ≤ 300).
Output
For each test case print any correct common sequence of Monocarp's and Polycarp's actions of length n + m or -1 if such sequence doesn't exist.
Example
Input
5
3 2 2
2 0
0 5
4 3 2
2 0 5
0 6
0 2 2
1 0
2 3
5 4 4
6 0 8 0
0 7 0 9
5 4 1
8 7 8 0
0
Output
2 0 0 5
0 2 0 6 5
-1
0 6 0 7 0 8 0 9
-1 | #include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
const int N = 1e5 + 10;
int t, n, m, k, tot;
int a[N], b[N], ans[N];
template <typename T>
inline void read(T &x){
x = 0;
char c = getchar();
T op = 1;
for(; c < '0' || c > '9'; c = getchar())
if(c == '-') op = -1;
for(; c <= '9' && c >= '0'; c = getchar())
x = (x << 3) + (x << 1) + c - '0';
x *= op;
}
int main(){
read(t);
while(t--){
tot = 0;
read(k), read(n), read(m);
for(int i = 1; i <= n; ++i) read(a[i]);
for(int i = 1; i <= m; ++i) read(b[i]);
int i = 1, j = 1;
while(i <= n || j <= m){
while(a[i] == 0 && i <= n) ++k, ans[++tot] = 0, ++i;
while(b[j] == 0 && j <= m) ++k, ans[++tot] = 0, ++j;
if(a[i] <= k && i <= n) ans[++tot] = a[i], ++i;
else if(b[j] <= k && j <= m) ans[++tot] = b[j], ++j;
else break;
}
if(i <= n || j <= m) printf("-1");
else for(int i = 1; i <= tot; ++i) printf("%d ", ans[i]);
putchar('\n');
}
return 0;
}
| 2C++
| {
"input": [
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n-1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 -1 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 -1\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 1 8 0\n0 7 0 13\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n-1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n0 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n1 2 2\n1 0\n2 2\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n4 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n10 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n20 4 1\n8 7 2 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n20 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n0 0\n1 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n4 3\n\n5 4 4\n10 0 15 0\n0 7 0 9\n\n5 4 1\n0 7 9 2\n-1\n",
"5\n\n0 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 0\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 2 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n20 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n10 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n0 0\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n5 7 8 1\n0\n",
"5\n\n3 2 2\n4 0\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 0\n0\n",
"5\n\n3 2 2\n4 0\n0 5\n\n3 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n10 4 1\n8 7 5 0\n0\n",
"5\n\n0 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 7\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 7 1 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n1 0 5\n1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 4\n0 0\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n5 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n0 2 2\n1 0\n4 3\n\n5 4 2\n6 1 8 0\n0 7 0 13\n\n5 2 1\n8 7 12 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n0 0\n2 2\n\n0 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 8 0 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 2\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n10 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 1\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 10 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n0 0\n0 4\n\n4 3 2\n2 0 10\n-2 2\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n0 1 8 0\n0 4 0 13\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 1\n\n5 4 4\n12 0 8 0\n1 5 0 10\n\n9 4 1\n7 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n0 3 2\n2 0 5\n-1 6\n\n0 2 2\n0 0\n2 2\n\n0 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 8 0 0\n0\n",
"5\n\n2 2 2\n1 1\n0 7\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n2 8\n\n5 4 4\n2 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 1\n0 6\n\n0 2 1\n1 0\n2 3\n\n5 4 4\n6 0 10 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 0\n0 6\n\n0 2 1\n1 0\n2 3\n\n5 4 4\n6 0 10 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n0 2 2\n2 0\n0 5\n\n4 3 2\n2 2 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 0 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n20 4 1\n8 2 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 6 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n3 7 9 4\n-1\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n1 2 2\n1 0\n2 2\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 3\n0 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n1\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 2\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n-1 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 14 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 12 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 2\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n6 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 2 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n3 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n1 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n3 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 12\n\n0 2 2\n2 0\n2 3\n\n5 4 2\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n6 4 4\n6 0 15 0\n0 7 0 9\n\n5 2 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 10\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 -1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 13 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 1\n2 3\n\n5 4 4\n6 0 8 0\n1 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n3 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 1\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 0 0\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 2\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n"
],
"output": [
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 2 0 5\n0 1 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 1 0 5 6\n-1\n-1\n-1\n",
"-1\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 0 0 5\n-1\n-1\n-1\n-1\n",
"0 1 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 0 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 3 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 0 1 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n1 0 2 2\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 2 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 8 1\n",
"0 0 1 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 1 0 5\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 0 2 0\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n-1\n0 8 7 8 1\n",
"0 2 0 5\n-1\n-1\n-1\n0 10 7 8 0\n",
"0 1 0 5\n0 1 0 5 6\n-1\n-1\n-1\n",
"0 0 0 5\n0 0 2 0 5\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n-1\n0 8 7 5 0\n",
"-1\n-1\n-1\n-1\n0 8 7 1 0\n",
"0 1 0 5\n-1\n-1\n-1\n-1\n",
"0 0 0 5\n0 0 2 0 4\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 3 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n0 0 2 2\n-1\n-1\n",
"0 0 0 5\n-1\n-1\n-1\n0 10 7 8 0\n",
"-1\n0 2 0 1 6\n-1\n-1\n-1\n",
"0 0 0 4\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 7 7 8 0\n",
"0 1 0 5\n-1\n0 0 2 2\n-1\n-1\n",
"-1\n-1\n-1\n0 2 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 1 6\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 0 6\n-1\n-1\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"0 3 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 2 8 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 6 8 0\n",
"0 0 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 1 0 5\n-1\n1 0 2 2\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 3 6\n-1\n-1\n-1\n",
"0 3 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"-1\n0 1 0 5 6\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n"
]
} | 2CODEFORCES
|
1547_C. Pair Programming_367 | Monocarp and Polycarp are learning new programming techniques. Now they decided to try pair programming.
It's known that they have worked together on the same file for n + m minutes. Every minute exactly one of them made one change to the file. Before they started, there were already k lines written in the file.
Every minute exactly one of them does one of two actions: adds a new line to the end of the file or changes one of its lines.
Monocarp worked in total for n minutes and performed the sequence of actions [a_1, a_2, ..., a_n]. If a_i = 0, then he adds a new line to the end of the file. If a_i > 0, then he changes the line with the number a_i. Monocarp performed actions strictly in this order: a_1, then a_2, ..., a_n.
Polycarp worked in total for m minutes and performed the sequence of actions [b_1, b_2, ..., b_m]. If b_j = 0, then he adds a new line to the end of the file. If b_j > 0, then he changes the line with the number b_j. Polycarp performed actions strictly in this order: b_1, then b_2, ..., b_m.
Restore their common sequence of actions of length n + m such that all actions would be correct — there should be no changes to lines that do not yet exist. Keep in mind that in the common sequence Monocarp's actions should form the subsequence [a_1, a_2, ..., a_n] and Polycarp's — subsequence [b_1, b_2, ..., b_m]. They can replace each other at the computer any number of times.
Let's look at an example. Suppose k = 3. Monocarp first changed the line with the number 2 and then added a new line (thus, n = 2, \: a = [2, 0]). Polycarp first added a new line and then changed the line with the number 5 (thus, m = 2, \: b = [0, 5]).
Since the initial length of the file was 3, in order for Polycarp to change line number 5 two new lines must be added beforehand. Examples of correct sequences of changes, in this case, would be [0, 2, 0, 5] and [2, 0, 0, 5]. Changes [0, 0, 5, 2] (wrong order of actions) and [0, 5, 2, 0] (line 5 cannot be edited yet) are not correct.
Input
The first line contains an integer t (1 ≤ t ≤ 1000). Then t test cases follow. Before each test case, there is an empty line.
Each test case contains three lines. The first line contains three integers k, n, m (0 ≤ k ≤ 100, 1 ≤ n, m ≤ 100) — the initial number of lines in file and lengths of Monocarp's and Polycarp's sequences of changes respectively.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 300).
The third line contains m integers b_1, b_2, ..., b_m (0 ≤ b_j ≤ 300).
Output
For each test case print any correct common sequence of Monocarp's and Polycarp's actions of length n + m or -1 if such sequence doesn't exist.
Example
Input
5
3 2 2
2 0
0 5
4 3 2
2 0 5
0 6
0 2 2
1 0
2 3
5 4 4
6 0 8 0
0 7 0 9
5 4 1
8 7 8 0
0
Output
2 0 0 5
0 2 0 6 5
-1
0 6 0 7 0 8 0 9
-1 | # -*- coding: utf-8 -*-
"""
Created on Sat Jul 10 23:15:34 2021
@author: Kevin Chang
Project: Codeforces Problem 1547C
"""
t = int(input())
for i in range(t):
shit = input()
k, n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
res = []
ress = 1
for aa in a:
if ress == -1:
break
elif aa == 0:
k += 1
res.append(aa)
elif aa > k:
while k < aa:
if len(b) == 0:
ress = -1
break
elif b[0] == 0:
k += 1
res.append(b.pop(0))
elif b[0] > k:
ress = -1
break
else:
res.append(b.pop(0))
res.append(aa)
else:
res.append(aa)
continue
if ress == -1:
print(ress)
else:
for bb in b:
if ress == -1:
break
elif bb == 0:
k += 1
res.append(bb)
elif bb > k:
ress = -1
else:
res.append(bb)
continue
if ress == -1:
print(ress)
else:
print(*res)
| 3Python3
| {
"input": [
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"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
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"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 0\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 2 9 2\n-1\n",
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"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n0 0\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n5 7 8 1\n0\n",
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"5\n\n3 2 2\n4 0\n0 5\n\n3 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n10 4 1\n8 7 5 0\n0\n",
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"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 6 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n3 7 9 4\n-1\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n1 2 2\n1 0\n2 2\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 3\n0 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n1\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 2\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n-1 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 14 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 12 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 2\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n6 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 2 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n3 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n1 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n3 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 12\n\n0 2 2\n2 0\n2 3\n\n5 4 2\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n6 4 4\n6 0 15 0\n0 7 0 9\n\n5 2 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 10\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 -1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 13 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 1\n2 3\n\n5 4 4\n6 0 8 0\n1 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n3 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 1\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 0 0\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 2\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n"
],
"output": [
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 2 0 5\n0 1 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 1 0 5 6\n-1\n-1\n-1\n",
"-1\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 0 0 5\n-1\n-1\n-1\n-1\n",
"0 1 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 0 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 3 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 0 1 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n1 0 2 2\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 2 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 8 1\n",
"0 0 1 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 1 0 5\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 0 2 0\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n-1\n0 8 7 8 1\n",
"0 2 0 5\n-1\n-1\n-1\n0 10 7 8 0\n",
"0 1 0 5\n0 1 0 5 6\n-1\n-1\n-1\n",
"0 0 0 5\n0 0 2 0 5\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n-1\n0 8 7 5 0\n",
"-1\n-1\n-1\n-1\n0 8 7 1 0\n",
"0 1 0 5\n-1\n-1\n-1\n-1\n",
"0 0 0 5\n0 0 2 0 4\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 3 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n0 0 2 2\n-1\n-1\n",
"0 0 0 5\n-1\n-1\n-1\n0 10 7 8 0\n",
"-1\n0 2 0 1 6\n-1\n-1\n-1\n",
"0 0 0 4\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 7 7 8 0\n",
"0 1 0 5\n-1\n0 0 2 2\n-1\n-1\n",
"-1\n-1\n-1\n0 2 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 1 6\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 0 6\n-1\n-1\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"0 3 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 2 8 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 6 8 0\n",
"0 0 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 1 0 5\n-1\n1 0 2 2\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 3 6\n-1\n-1\n-1\n",
"0 3 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"-1\n0 1 0 5 6\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n"
]
} | 2CODEFORCES
|
1547_C. Pair Programming_368 | Monocarp and Polycarp are learning new programming techniques. Now they decided to try pair programming.
It's known that they have worked together on the same file for n + m minutes. Every minute exactly one of them made one change to the file. Before they started, there were already k lines written in the file.
Every minute exactly one of them does one of two actions: adds a new line to the end of the file or changes one of its lines.
Monocarp worked in total for n minutes and performed the sequence of actions [a_1, a_2, ..., a_n]. If a_i = 0, then he adds a new line to the end of the file. If a_i > 0, then he changes the line with the number a_i. Monocarp performed actions strictly in this order: a_1, then a_2, ..., a_n.
Polycarp worked in total for m minutes and performed the sequence of actions [b_1, b_2, ..., b_m]. If b_j = 0, then he adds a new line to the end of the file. If b_j > 0, then he changes the line with the number b_j. Polycarp performed actions strictly in this order: b_1, then b_2, ..., b_m.
Restore their common sequence of actions of length n + m such that all actions would be correct — there should be no changes to lines that do not yet exist. Keep in mind that in the common sequence Monocarp's actions should form the subsequence [a_1, a_2, ..., a_n] and Polycarp's — subsequence [b_1, b_2, ..., b_m]. They can replace each other at the computer any number of times.
Let's look at an example. Suppose k = 3. Monocarp first changed the line with the number 2 and then added a new line (thus, n = 2, \: a = [2, 0]). Polycarp first added a new line and then changed the line with the number 5 (thus, m = 2, \: b = [0, 5]).
Since the initial length of the file was 3, in order for Polycarp to change line number 5 two new lines must be added beforehand. Examples of correct sequences of changes, in this case, would be [0, 2, 0, 5] and [2, 0, 0, 5]. Changes [0, 0, 5, 2] (wrong order of actions) and [0, 5, 2, 0] (line 5 cannot be edited yet) are not correct.
Input
The first line contains an integer t (1 ≤ t ≤ 1000). Then t test cases follow. Before each test case, there is an empty line.
Each test case contains three lines. The first line contains three integers k, n, m (0 ≤ k ≤ 100, 1 ≤ n, m ≤ 100) — the initial number of lines in file and lengths of Monocarp's and Polycarp's sequences of changes respectively.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 300).
The third line contains m integers b_1, b_2, ..., b_m (0 ≤ b_j ≤ 300).
Output
For each test case print any correct common sequence of Monocarp's and Polycarp's actions of length n + m or -1 if such sequence doesn't exist.
Example
Input
5
3 2 2
2 0
0 5
4 3 2
2 0 5
0 6
0 2 2
1 0
2 3
5 4 4
6 0 8 0
0 7 0 9
5 4 1
8 7 8 0
0
Output
2 0 0 5
0 2 0 6 5
-1
0 6 0 7 0 8 0 9
-1 | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.*;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;
public class java1 {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
InputReader in = new InputReader(inputStream);
PrintWriter out = new PrintWriter(outputStream);
TaskB solver = new TaskB();
solver.solve(1, in, out);
out.close();
}
static class TaskB {
public void solve(int testNumber, InputReader in, PrintWriter out) {
int t=in.nextInt();
outer: while(t-- >0)
{
int k=in.nextInt();
int n=in.nextInt();
int m=in.nextInt();
int na[]=in.inputarInt(n); int A=0;
int ma[]=in.inputarInt(m); int B=0;
int ans[]=new int[n+m];
for(int x=1;x<=n+m;x++)
{
if(A<=n-1 && na[A]==0)
{
ans[x-1]=0;
A++;
k++;
}
else if(B<=m-1 &&ma[B]==0)
{
ans[x-1]=0;
k++;
B++;
}
else if(A<=n-1 && B<= m-1)
{
if(na[A] <=ma[B])
{
if(na[A] <=k)
{
ans[x-1]=na[A];
A++;
}
else
{
out.println("-1"); continue outer;
}
}
else
{
if(ma[B] <=k)
{
ans[x-1]=ma[B];
B++;
}
else
{
out.println("-1"); continue outer;
}
}
}
else if(A<=n-1)
{
if(na[A] <=k)
{
ans[x-1]=na[A];
A++;
}
else
{
out.println("-1"); continue outer;
}
}
else
{
if(ma[B] <=k)
{
ans[x-1]=ma[B];
B++;
}
else
{
out.println("-1"); continue outer;
}
}
}
for(int x=0;x<n+m;x++)
{
out.print(ans[x]+" ");
}
out.println();
}
}
static void sort(int[] a) {
ArrayList<Integer> l=new ArrayList<>();
for (int i:a) l.add(i);
Collections.sort(l);
for (int i=0; i<a.length; i++) a[i]=l.get(i);
}
}
static class InputReader {
public BufferedReader reader;
public StringTokenizer tokenizer;
public InputReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream), 32768);
tokenizer = null;
}
public String next() {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
tokenizer = new StringTokenizer(reader.readLine());
} catch (IOException e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
public long nextLong() {
return Long.parseLong(next());
}
public int[] inputarInt(int n)
{
int ar[]=new int[n];
for(int x=0;x<n;x++)
{
ar[x]=nextInt();
}
return ar;
}
public long[] inputarLong(int n)
{
long ar[]=new long[n];
for(int x=0;x<n;x++)
{
ar[x]=nextLong();
}
return ar;
}
}
} | 4JAVA
| {
"input": [
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n-1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 -1 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 -1\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 1 8 0\n0 7 0 13\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n-1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n0 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n1 2 2\n1 0\n2 2\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n4 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n10 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n20 4 1\n8 7 2 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n20 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n0 0\n1 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n4 3\n\n5 4 4\n10 0 15 0\n0 7 0 9\n\n5 4 1\n0 7 9 2\n-1\n",
"5\n\n0 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 0\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 2 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n20 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n10 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n0 0\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n5 7 8 1\n0\n",
"5\n\n3 2 2\n4 0\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 0\n0\n",
"5\n\n3 2 2\n4 0\n0 5\n\n3 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n10 4 1\n8 7 5 0\n0\n",
"5\n\n0 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 7\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 7 1 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n1 0 5\n1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 4\n0 0\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n5 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n0 2 2\n1 0\n4 3\n\n5 4 2\n6 1 8 0\n0 7 0 13\n\n5 2 1\n8 7 12 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n0 0\n2 2\n\n0 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 8 0 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 2\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n10 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 1\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 10 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n0 0\n0 4\n\n4 3 2\n2 0 10\n-2 2\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n0 1 8 0\n0 4 0 13\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 1\n\n5 4 4\n12 0 8 0\n1 5 0 10\n\n9 4 1\n7 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n0 5\n\n0 3 2\n2 0 5\n-1 6\n\n0 2 2\n0 0\n2 2\n\n0 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 8 0 0\n0\n",
"5\n\n2 2 2\n1 1\n0 7\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n2 8\n\n5 4 4\n2 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 1\n0 6\n\n0 2 1\n1 0\n2 3\n\n5 4 4\n6 0 10 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 0\n0 6\n\n0 2 1\n1 0\n2 3\n\n5 4 4\n6 0 10 0\n0 7 -1 9\n\n5 1 1\n8 7 3 1\n0\n",
"5\n\n0 2 2\n2 0\n0 5\n\n4 3 2\n2 2 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 0 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 0\n0 1 0 9\n\n20 4 1\n8 2 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n3 1 5\n0 6\n\n0 2 2\n1 0\n4 3\n\n5 4 4\n8 0 8 -1\n0 1 0 9\n\n11 4 1\n8 6 8 0\n0\n",
"5\n\n3 2 2\n0 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n3 7 9 4\n-1\n",
"5\n\n3 2 2\n1 0\n0 5\n\n4 3 2\n2 0 10\n-1 2\n\n1 2 2\n1 0\n2 2\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 3\n0 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n1\n",
"5\n\n3 2 2\n3 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 2\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n1 0\n-1 5\n\n4 3 2\n1 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 1 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 14 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n0 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 12 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 2\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n6 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 0\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 2 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n9 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n3 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n1 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n3 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 0\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 12\n\n0 2 2\n2 0\n2 3\n\n5 4 2\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n6 4 4\n6 0 15 0\n0 7 0 9\n\n5 2 1\n2 7 9 2\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n1 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 3 1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 10\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 2 1\n8 7 9 1\n0\n",
"5\n\n3 2 2\n2 0\n1 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n2 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n0 6\n\n0 2 2\n1 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n5 4 1\n8 7 9 -1\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 1 5\n0 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n8 0 8 0\n0 13 0 9\n\n5 4 1\n8 7 8 0\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 1\n2 3\n\n5 4 4\n6 0 8 0\n1 7 0 9\n\n1 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n2 0\n3 3\n\n5 4 4\n6 0 8 0\n0 7 -1 9\n\n3 4 1\n2 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n3 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n4 4 4\n6 0 8 1\n1 7 0 9\n\n5 4 1\n8 7 9 1\n-1\n",
"5\n\n3 2 2\n2 0\n0 5\n\n4 3 2\n2 0 5\n-1 6\n\n0 2 2\n1 0\n2 3\n\n5 4 4\n3 0 8 0\n0 7 0 9\n\n1 4 1\n2 7 0 0\n-1\n",
"5\n\n3 2 2\n2 1\n0 5\n\n4 3 2\n2 1 5\n-1 6\n\n0 2 2\n2 0\n2 3\n\n5 4 4\n6 0 8 0\n0 7 0 9\n\n3 4 1\n2 7 9 2\n0\n",
"5\n\n3 2 2\n2 0\n0 5\n\n2 3 2\n2 0 5\n-1 6\n\n0 2 2\n3 0\n2 3\n\n5 4 4\n6 0 15 0\n0 7 0 9\n\n5 4 1\n2 7 9 2\n-1\n"
],
"output": [
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 2 0 5\n0 1 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 1 0 5 6\n-1\n-1\n-1\n",
"-1\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 0 0 5\n-1\n-1\n-1\n-1\n",
"0 1 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 0 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 3 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 0 1 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n1 0 2 2\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 2 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 7 8 1\n",
"0 0 1 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n-1\n0 8 7 8 0\n",
"0 1 0 5\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 0 2 0\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n-1\n0 8 7 8 1\n",
"0 2 0 5\n-1\n-1\n-1\n0 10 7 8 0\n",
"0 1 0 5\n0 1 0 5 6\n-1\n-1\n-1\n",
"0 0 0 5\n0 0 2 0 5\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 4 0 5\n-1\n-1\n-1\n0 8 7 5 0\n",
"-1\n-1\n-1\n-1\n0 8 7 1 0\n",
"0 1 0 5\n-1\n-1\n-1\n-1\n",
"0 0 0 5\n0 0 2 0 4\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n0 2 0 5 6\n-1\n-1\n-1\n",
"0 3 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n0 0 2 2\n-1\n-1\n",
"0 0 0 5\n-1\n-1\n-1\n0 10 7 8 0\n",
"-1\n0 2 0 1 6\n-1\n-1\n-1\n",
"0 0 0 4\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 7 7 8 0\n",
"0 1 0 5\n-1\n0 0 2 2\n-1\n-1\n",
"-1\n-1\n-1\n0 2 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 1 6\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 0 6\n-1\n-1\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"0 3 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 2 8 0\n",
"0 2 0 5\n-1\n-1\n-1\n0 8 6 8 0\n",
"0 0 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 1 0 5\n-1\n1 0 2 2\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 3 6\n-1\n-1\n-1\n",
"0 3 0 5\n-1\n-1\n-1\n0 8 7 8 0\n",
"-1\n0 1 0 5 6\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n0 8 7 8 0\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n0 2 0 5 6\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"-1\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n",
"0 2 0 5\n-1\n-1\n0 3 0 7 0 8 0 9\n-1\n",
"-1\n-1\n-1\n0 6 0 7 0 8 0 9\n-1\n",
"0 2 0 5\n-1\n-1\n-1\n-1\n"
]
} | 2CODEFORCES
|
174_E. Ancient Berland Hieroglyphs_369 | Polycarpus enjoys studying Berland hieroglyphs. Once Polycarp got hold of two ancient Berland pictures, on each of which was drawn a circle of hieroglyphs. We know that no hieroglyph occurs twice in either the first or the second circle (but in can occur once in each of them).
Polycarpus wants to save these pictures on his laptop, but the problem is, laptops do not allow to write hieroglyphs circles. So Polycarp had to break each circle and write down all of its hieroglyphs in a clockwise order in one line. A line obtained from the first circle will be called a, and the line obtained from the second one will be called b.
There are quite many ways to break hieroglyphic circles, so Polycarpus chooses the method, that makes the length of the largest substring of string a, which occurs as a subsequence in string b, maximum.
Help Polycarpus — find the maximum possible length of the desired substring (subsequence) if the first and the second circles are broken optimally.
The length of string s is the number of characters in it. If we denote the length of string s as |s|, we can write the string as s = s1s2... s|s|.
A substring of s is a non-empty string x = s[a... b] = sasa + 1... sb (1 ≤ a ≤ b ≤ |s|). For example, "code" and "force" are substrings of "codeforces", while "coders" is not.
A subsequence of s is a non-empty string y = s[p1p2... p|y|] = sp1sp2... sp|y| (1 ≤ p1 < p2 < ... < p|y| ≤ |s|). For example, "coders" is a subsequence of "codeforces".
Input
The first line contains two integers la and lb (1 ≤ la, lb ≤ 1000000) — the number of hieroglyphs in the first and second circles, respectively.
Below, due to difficulties with encoding of Berland hieroglyphs, they are given as integers from 1 to 106.
The second line contains la integers — the hieroglyphs in the first picture, in the clockwise order, starting with one of them.
The third line contains lb integers — the hieroglyphs in the second picture, in the clockwise order, starting with one of them.
It is guaranteed that the first circle doesn't contain a hieroglyph, which occurs twice. The second circle also has this property.
Output
Print a single number — the maximum length of the common substring and subsequence. If at any way of breaking the circles it does not exist, print 0.
Examples
Input
5 4
1 2 3 4 5
1 3 5 6
Output
2
Input
4 6
1 3 5 2
1 2 3 4 5 6
Output
3
Input
3 3
1 2 3
3 2 1
Output
2
Note
In the first test Polycarpus picks a string that consists of hieroglyphs 5 and 1, and in the second sample — from hieroglyphs 1, 3 and 5. | #include <bits/stdc++.h>
using namespace std;
int lenA, lenB;
int A[1000004];
int B[1000004];
int idxB[1000004];
int main() {
scanf("%d %d", &lenA, &lenB);
for (int i = 0, _n = (lenA); i < _n; ++i) scanf("%d", A + i);
memset(idxB, -1, sizeof(idxB));
for (int j = 0, _n = (lenB); j < _n; ++j) {
scanf("%d", B + j);
idxB[B[j]] = j;
}
int idxV = 0;
vector<long long> V;
long long offset = 0;
int res = 0;
for (int k = 0, _n = (lenA * 2); k < _n; ++k) {
long long p = idxB[A[k % lenA]];
if (p < 0) {
V.clear();
idxV = 0;
continue;
}
p += offset;
if (!V.empty() && V.back() >= p) {
p += lenB;
offset += lenB;
}
V.push_back(p);
idxV = (lower_bound(V.begin() + idxV, V.end(), p - lenB + 1) - V.begin());
int len = int((V).size()) - idxV;
res = max(res, len);
}
printf("%d\n", res);
return 0;
}
| 2C++
| {
"input": [
"5 4\n1 2 3 4 5\n1 3 5 6\n",
"3 3\n1 2 3\n3 2 1\n",
"4 6\n1 3 5 2\n1 2 3 4 5 6\n",
"1 1\n1\n2\n",
"6 3\n1 2 3 4 5 6\n3 5 1\n",
"5 5\n5 6 3 2 1\n4 3 1 5 6\n",
"1 1\n1\n1\n",
"10 10\n1 2 3 4 5 6 7 8 9 10\n6 7 8 9 10 1 2 3 4 5\n",
"1 2\n1\n1 2\n",
"10 10\n9 12 15 2 4 14 1 5 6 13\n12 11 13 1 4 3 8 2 14 15\n",
"9 9\n1 2 3 4 5 6 7 8 9\n7 8 9 1 2 4 5 6 3\n",
"5 5\n9 2 5 1 3\n1 7 2 3 9\n",
"1 1\n2\n2\n",
"1 1\n2\n1\n",
"10 10\n1 2 3 4 5 6 7 8 9 10\n6 7 8 9 10 1 0 3 4 5\n",
"10 10\n9 12 15 2 4 20 1 5 6 13\n12 11 13 1 4 3 8 2 14 15\n",
"4 6\n1 3 5 2\n1 2 3 4 5 1\n",
"10 10\n1 2 3 4 5 6 7 8 9 10\n7 7 8 9 10 1 0 3 4 5\n",
"9 9\n1 2 3 4 5 6 7 8 9\n7 8 9 1 2 4 3 6 3\n",
"6 3\n1 2 1 4 5 6\n3 5 1\n",
"5 5\n9 2 5 1 6\n1 7 2 3 9\n",
"5 4\n1 2 3 4 4\n1 3 5 6\n",
"3 3\n1 2 3\n3 3 1\n",
"6 3\n1 2 1 4 5 6\n5 5 1\n",
"1 2\n2\n1\n",
"10 10\n11 12 15 2 4 20 1 5 6 13\n12 11 13 1 4 3 8 2 14 15\n",
"5 4\n1 2 3 4 4\n1 0 5 6\n",
"3 3\n1 2 3\n5 3 1\n",
"4 6\n0 3 5 2\n1 2 3 4 5 1\n",
"6 3\n1 2 1 4 5 6\n4 5 1\n",
"5 4\n1 4 3 4 4\n1 0 5 6\n",
"3 3\n1 2 2\n5 3 1\n",
"4 6\n0 3 5 2\n1 2 5 4 5 1\n",
"6 3\n1 2 1 4 0 6\n4 5 1\n",
"3 3\n1 2 2\n5 4 1\n",
"6 3\n0 2 1 4 0 6\n4 5 1\n",
"1 1\n1\n4\n",
"6 3\n1 2 3 4 5 6\n3 5 0\n",
"5 5\n10 6 3 2 1\n4 3 1 5 6\n",
"10 10\n9 12 15 2 4 14 1 5 6 13\n12 11 13 1 4 3 8 2 14 20\n",
"5 5\n9 2 5 1 3\n1 7 2 2 9\n",
"5 4\n1 2 3 4 9\n1 3 5 6\n",
"3 3\n1 2 3\n3 1 1\n",
"6 3\n1 2 1 4 7 6\n3 5 1\n",
"1 1\n4\n1\n",
"10 10\n9 12 15 2 4 20 1 5 2 13\n12 11 13 1 4 3 8 2 14 15\n",
"5 4\n1 2 4 4 4\n1 3 5 6\n",
"3 3\n1 2 2\n3 3 1\n",
"6 3\n1 4 1 4 5 6\n5 5 1\n",
"10 10\n11 12 15 2 4 20 1 5 6 13\n12 11 13 1 2 3 8 2 14 15\n",
"5 4\n1 2 3 4 5\n1 0 5 6\n",
"6 3\n1 2 1 4 7 6\n4 5 1\n",
"5 4\n1 3 3 4 4\n1 0 5 6\n",
"3 3\n1 2 2\n5 4 0\n",
"6 3\n0 2 1 4 0 6\n5 5 1\n",
"6 3\n2 2 3 4 5 6\n3 5 0\n",
"5 5\n10 6 5 2 1\n4 3 1 5 6\n",
"10 10\n9 12 6 2 4 14 1 5 6 13\n12 11 13 1 4 3 8 2 14 20\n",
"5 5\n16 2 5 1 3\n1 7 2 2 9\n",
"5 4\n1 2 3 4 9\n1 1 5 6\n",
"3 4\n1 2 3\n3 1 1\n",
"6 3\n1 2 1 4 7 6\n3 5 0\n",
"1 1\n8\n1\n",
"10 10\n1 2 3 3 5 6 7 8 9 10\n7 7 8 9 10 1 0 3 4 5\n",
"10 10\n9 12 15 2 4 20 1 5 2 16\n12 11 13 1 4 3 8 2 14 15\n",
"5 4\n1 2 4 4 4\n1 3 10 6\n",
"3 6\n1 2 2\n3 3 1\n",
"6 4\n1 4 1 4 5 6\n5 5 1\n",
"6 3\n1 2 1 4 7 10\n4 5 1\n",
"5 4\n1 3 3 4 4\n1 0 5 11\n",
"3 3\n1 2 4\n5 4 0\n",
"6 3\n0 4 1 4 0 6\n5 5 1\n",
"6 3\n4 2 3 4 5 6\n3 5 0\n",
"5 5\n10 6 5 2 1\n3 3 1 5 6\n",
"10 10\n9 12 6 2 4 14 1 5 6 13\n12 11 13 1 4 2 8 2 14 20\n",
"5 5\n16 2 5 1 3\n1 7 0 2 9\n",
"5 4\n1 2 3 4 17\n1 1 5 6\n",
"1 1\n8\n0\n",
"10 10\n1 2 3 3 5 6 7 8 9 10\n7 7 8 9 10 1 0 3 4 7\n",
"10 10\n9 12 15 2 4 33 1 5 2 16\n12 11 13 1 4 3 8 2 14 15\n",
"5 4\n1 2 4 6 4\n1 3 10 6\n",
"6 4\n1 4 1 4 6 6\n5 5 1\n",
"6 3\n1 2 1 4 7 10\n4 5 0\n",
"5 4\n1 3 3 4 4\n1 1 5 11\n",
"5 5\n10 4 5 2 1\n3 3 1 5 6\n",
"10 10\n9 12 6 2 4 14 1 5 5 13\n12 11 13 1 4 2 8 2 14 20\n",
"5 4\n1 2 3 4 17\n2 1 5 6\n",
"10 10\n9 12 15 2 4 33 1 5 2 16\n12 10 13 1 4 3 8 2 14 15\n",
"5 4\n1 2 4 8 4\n1 3 10 6\n",
"6 3\n1 2 2 4 7 10\n4 5 0\n",
"5 5\n10 4 5 2 1\n3 3 2 5 6\n",
"5 4\n1 2 0 4 17\n2 1 5 6\n",
"6 3\n1 2 2 4 7 4\n4 5 0\n",
"5 5\n10 1 5 2 1\n3 3 2 5 6\n",
"6 3\n1 2 2 4 7 5\n4 5 0\n",
"6 3\n1 2 2 2 7 5\n4 5 0\n",
"6 3\n1 2 2 2 7 5\n4 7 0\n",
"6 3\n1 2 2 2 7 5\n7 7 0\n",
"6 3\n2 2 2 2 7 5\n7 7 0\n",
"6 3\n2 3 2 2 7 5\n7 7 0\n",
"6 3\n2 1 2 2 7 5\n7 7 0\n",
"1 2\n1\n2\n",
"10 10\n9 12 15 2 4 14 1 5 6 13\n12 15 13 1 4 3 8 2 14 15\n",
"1 1\n2\n0\n",
"6 3\n1 2 2 4 5 6\n3 5 1\n",
"10 10\n1 2 3 4 2 6 7 8 9 10\n6 7 8 9 10 1 0 3 4 5\n",
"5 5\n9 2 5 1 6\n1 7 2 4 9\n",
"5 4\n1 2 3 4 4\n1 6 5 6\n",
"4 6\n1 3 5 2\n0 2 3 4 5 1\n",
"3 3\n1 2 5\n5 3 1\n",
"4 6\n0 3 5 2\n1 2 2 4 5 1\n",
"6 3\n1 2 1 4 5 6\n4 5 0\n"
],
"output": [
"2\n",
"2\n",
"3\n",
"0\n",
"1\n",
"4\n",
"1\n",
"10\n",
"1\n",
"3\n",
"8\n",
"3\n",
"1",
"0",
"9",
"2",
"3",
"5",
"6",
"1",
"2",
"1",
"2",
"1",
"0",
"2",
"1",
"2",
"3",
"3",
"1",
"1",
"2",
"2",
"1",
"2",
"0",
"1",
"2",
"3",
"2",
"1",
"2",
"1",
"0",
"2",
"1",
"1",
"1",
"2",
"2",
"2",
"1",
"0",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"0",
"0",
"5",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"3",
"1",
"1",
"0",
"5",
"2",
"1",
"1",
"1",
"1",
"1",
"3",
"2",
"2",
"1",
"1",
"2",
"2",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"3",
"0",
"1",
"6",
"2",
"1",
"3",
"2",
"2",
"2"
]
} | 2CODEFORCES
|
195_A. Let's Watch Football_370 | Valeric and Valerko missed the last Euro football game, so they decided to watch the game's key moments on the Net. They want to start watching as soon as possible but the connection speed is too low. If they turn on the video right now, it will "hang up" as the size of data to watch per second will be more than the size of downloaded data per second.
The guys want to watch the whole video without any pauses, so they have to wait some integer number of seconds for a part of the video to download. After this number of seconds passes, they can start watching. Waiting for the whole video to download isn't necessary as the video can download after the guys started to watch.
Let's suppose that video's length is c seconds and Valeric and Valerko wait t seconds before the watching. Then for any moment of time t0, t ≤ t0 ≤ c + t, the following condition must fulfill: the size of data received in t0 seconds is not less than the size of data needed to watch t0 - t seconds of the video.
Of course, the guys want to wait as little as possible, so your task is to find the minimum integer number of seconds to wait before turning the video on. The guys must watch the video without pauses.
Input
The first line contains three space-separated integers a, b and c (1 ≤ a, b, c ≤ 1000, a > b). The first number (a) denotes the size of data needed to watch one second of the video. The second number (b) denotes the size of data Valeric and Valerko can download from the Net per second. The third number (c) denotes the video's length in seconds.
Output
Print a single number — the minimum integer number of seconds that Valeric and Valerko must wait to watch football without pauses.
Examples
Input
4 1 1
Output
3
Input
10 3 2
Output
5
Input
13 12 1
Output
1
Note
In the first sample video's length is 1 second and it is necessary 4 units of data for watching 1 second of video, so guys should download 4 · 1 = 4 units of data to watch the whole video. The most optimal way is to wait 3 seconds till 3 units of data will be downloaded and then start watching. While guys will be watching video 1 second, one unit of data will be downloaded and Valerik and Valerko will have 4 units of data by the end of watching. Also every moment till the end of video guys will have more data then necessary for watching.
In the second sample guys need 2 · 10 = 20 units of data, so they have to wait 5 seconds and after that they will have 20 units before the second second ends. However, if guys wait 4 seconds, they will be able to watch first second of video without pauses, but they will download 18 units of data by the end of second second and it is less then necessary. | import math
a, b, c = map(int, str(raw_input()).split())
print int(math.ceil((a*c)/float(b)))-c; | 1Python2
| {
"input": [
"10 3 2\n",
"13 12 1\n",
"4 1 1\n",
"993 992 991\n",
"100 1 10\n",
"960 935 994\n",
"99 8 99\n",
"60 16 1\n",
"759 10 258\n",
"24 19 9\n",
"196 169 144\n",
"1000 999 1\n",
"945 812 917\n",
"1000 100 10\n",
"500 300 300\n",
"888 777 1000\n",
"2 1 4\n",
"24 12 12\n",
"767 2 514\n",
"2 1 2\n",
"1000 1 1\n",
"5 2 1\n",
"70 32 1\n",
"765 123 899\n",
"17 7 10\n",
"5 4 10\n",
"888 777 888\n",
"66 38 4\n",
"1000 999 1000\n",
"9 3 300\n",
"244 87 4\n",
"765 123 45\n",
"1000 1 1000\n",
"305 203 421\n",
"100 10 1\n",
"64 12 8\n",
"894 1 999\n",
"2 1 1\n",
"18 14 10\n",
"6 2 4\n",
"888 777 1\n",
"27 26 1\n",
"2 1 3\n",
"5 1 5\n",
"7 3 200\n",
"561 31 917\n",
"17 10 7\n",
"93 74 831\n",
"993 992 471\n",
"960 935 1422\n",
"105 8 99\n",
"60 1 1\n",
"759 10 123\n",
"31 19 9\n",
"1705 812 917\n",
"1010 100 10\n",
"500 181 300\n",
"888 777 1010\n",
"24 13 12\n",
"767 3 514\n",
"1286 123 899\n",
"17 7 1\n",
"66 1 4\n",
"9 3 446\n",
"244 87 5\n",
"765 100 45\n",
"305 203 824\n",
"64 12 1\n",
"894 1 978\n",
"18 11 10\n",
"6 1 4\n",
"3 1 4\n",
"7 3 283\n",
"171 31 917\n",
"17 12 7\n",
"16 3 2\n",
"960 656 1422\n",
"105 5 99\n",
"46 1 1\n",
"759 10 202\n",
"1705 1125 917\n",
"1110 100 10\n",
"500 181 510\n",
"24 18 12\n",
"767 3 557\n",
"1286 123 1043\n",
"66 2 4\n",
"11 3 446\n",
"1446 100 45\n",
"479 203 824\n",
"101 3 1\n",
"894 1 822\n",
"7 3 325\n",
"171 31 603\n",
"24 3 2\n",
"1470 992 414\n",
"817 656 1422\n",
"185 5 99\n",
"759 4 202\n",
"1329 1125 917\n",
"500 164 510\n",
"767 3 545\n",
"1286 187 1043\n",
"8 3 446\n",
"139 100 45\n",
"902 203 824\n",
"111 3 1\n",
"7 3 227\n",
"171 31 262\n",
"1470 990 414\n",
"817 656 2204\n",
"52 5 99\n",
"759 3 202\n",
"2126 1125 917\n",
"1100 110 10\n",
"1010 999 1\n",
"5 3 1\n",
"70 11 1\n",
"101 10 1\n",
"5 2 5\n",
"25 12 1\n",
"6 1 1\n",
"993 992 414\n",
"31 19 7\n",
"1010 976 1\n",
"888 777 1011\n",
"70 7 1\n",
"17 6 1\n",
"64 10 1\n",
"18 11 1\n",
"3 2 4\n",
"29 12 7\n",
"25 8 1\n",
"1011 976 1\n",
"1110 110 10\n",
"70 9 1\n",
"64 13 1\n",
"4 2 4\n",
"29 20 7\n",
"29 3 2\n",
"25 7 1\n",
"1011 791 1\n"
],
"output": [
"5\n",
"1\n",
"3\n",
"1\n",
"990\n",
"27\n",
"1127\n",
"3\n",
"19325\n",
"3\n",
"24\n",
"1\n",
"151\n",
"90\n",
"200\n",
"143\n",
"4\n",
"12\n",
"196605\n",
"2\n",
"999\n",
"2\n",
"2\n",
"4693\n",
"15\n",
"3\n",
"127\n",
"3\n",
"2\n",
"600\n",
"8\n",
"235\n",
"999000\n",
"212\n",
"9\n",
"35\n",
"892107\n",
"1\n",
"3\n",
"8\n",
"1\n",
"1\n",
"3\n",
"20\n",
"267\n",
"15678\n",
"5\n",
"214\n",
"1\n",
"39\n",
"1201\n",
"59\n",
"9213\n",
"6\n",
"1009\n",
"91\n",
"529\n",
"145\n",
"11\n",
"130899\n",
"8501\n",
"2\n",
"260\n",
"892\n",
"10\n",
"300\n",
"415\n",
"5\n",
"873354\n",
"7\n",
"20\n",
"8\n",
"378\n",
"4142\n",
"3\n",
"9\n",
"659\n",
"1980\n",
"45\n",
"15130\n",
"473\n",
"101\n",
"899\n",
"4\n",
"141850\n",
"9862\n",
"128\n",
"1190\n",
"606\n",
"1121\n",
"33\n",
"734046\n",
"434\n",
"2724\n",
"14\n",
"200\n",
"349\n",
"3564\n",
"38128\n",
"167\n",
"1045\n",
"138794\n",
"6130\n",
"744\n",
"18\n",
"2838\n",
"36\n",
"303\n",
"1184\n",
"201\n",
"541\n",
"931\n",
"50904\n",
"816\n",
"90\n",
"1\n",
"1\n",
"6\n",
"10\n",
"8\n",
"2\n",
"5\n",
"1\n",
"5\n",
"1\n",
"145\n",
"9\n",
"2\n",
"6\n",
"1\n",
"2\n",
"10\n",
"3\n",
"1\n",
"91\n",
"7\n",
"4\n",
"4\n",
"4\n",
"18\n",
"3\n",
"1\n"
]
} | 2CODEFORCES
|
195_A. Let's Watch Football_371 | Valeric and Valerko missed the last Euro football game, so they decided to watch the game's key moments on the Net. They want to start watching as soon as possible but the connection speed is too low. If they turn on the video right now, it will "hang up" as the size of data to watch per second will be more than the size of downloaded data per second.
The guys want to watch the whole video without any pauses, so they have to wait some integer number of seconds for a part of the video to download. After this number of seconds passes, they can start watching. Waiting for the whole video to download isn't necessary as the video can download after the guys started to watch.
Let's suppose that video's length is c seconds and Valeric and Valerko wait t seconds before the watching. Then for any moment of time t0, t ≤ t0 ≤ c + t, the following condition must fulfill: the size of data received in t0 seconds is not less than the size of data needed to watch t0 - t seconds of the video.
Of course, the guys want to wait as little as possible, so your task is to find the minimum integer number of seconds to wait before turning the video on. The guys must watch the video without pauses.
Input
The first line contains three space-separated integers a, b and c (1 ≤ a, b, c ≤ 1000, a > b). The first number (a) denotes the size of data needed to watch one second of the video. The second number (b) denotes the size of data Valeric and Valerko can download from the Net per second. The third number (c) denotes the video's length in seconds.
Output
Print a single number — the minimum integer number of seconds that Valeric and Valerko must wait to watch football without pauses.
Examples
Input
4 1 1
Output
3
Input
10 3 2
Output
5
Input
13 12 1
Output
1
Note
In the first sample video's length is 1 second and it is necessary 4 units of data for watching 1 second of video, so guys should download 4 · 1 = 4 units of data to watch the whole video. The most optimal way is to wait 3 seconds till 3 units of data will be downloaded and then start watching. While guys will be watching video 1 second, one unit of data will be downloaded and Valerik and Valerko will have 4 units of data by the end of watching. Also every moment till the end of video guys will have more data then necessary for watching.
In the second sample guys need 2 · 10 = 20 units of data, so they have to wait 5 seconds and after that they will have 20 units before the second second ends. However, if guys wait 4 seconds, they will be able to watch first second of video without pauses, but they will download 18 units of data by the end of second second and it is less then necessary. | #include <bits/stdc++.h>
#pragma comment(linker, "/STACK:64000000")
using namespace std;
inline int gcd(int a, int b) {
if (a < b) {
a ^= b;
b ^= a;
a ^= b;
};
return (a > b) ? gcd(a - b, b) : a;
}
inline int abs(int x) { return x > 0 ? x : -x; }
void solve() {
int a, b, c, t, all;
bool fin = false;
cin >> a >> b >> c;
if (b >= a) {
cout << 0;
return;
}
t = 0;
all = (c * a + b - 1) / b;
while (++t)
if (all * b >= (all - t) * a) break;
cout << t;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
solve();
return 0;
}
| 2C++
| {
"input": [
"10 3 2\n",
"13 12 1\n",
"4 1 1\n",
"993 992 991\n",
"100 1 10\n",
"960 935 994\n",
"99 8 99\n",
"60 16 1\n",
"759 10 258\n",
"24 19 9\n",
"196 169 144\n",
"1000 999 1\n",
"945 812 917\n",
"1000 100 10\n",
"500 300 300\n",
"888 777 1000\n",
"2 1 4\n",
"24 12 12\n",
"767 2 514\n",
"2 1 2\n",
"1000 1 1\n",
"5 2 1\n",
"70 32 1\n",
"765 123 899\n",
"17 7 10\n",
"5 4 10\n",
"888 777 888\n",
"66 38 4\n",
"1000 999 1000\n",
"9 3 300\n",
"244 87 4\n",
"765 123 45\n",
"1000 1 1000\n",
"305 203 421\n",
"100 10 1\n",
"64 12 8\n",
"894 1 999\n",
"2 1 1\n",
"18 14 10\n",
"6 2 4\n",
"888 777 1\n",
"27 26 1\n",
"2 1 3\n",
"5 1 5\n",
"7 3 200\n",
"561 31 917\n",
"17 10 7\n",
"93 74 831\n",
"993 992 471\n",
"960 935 1422\n",
"105 8 99\n",
"60 1 1\n",
"759 10 123\n",
"31 19 9\n",
"1705 812 917\n",
"1010 100 10\n",
"500 181 300\n",
"888 777 1010\n",
"24 13 12\n",
"767 3 514\n",
"1286 123 899\n",
"17 7 1\n",
"66 1 4\n",
"9 3 446\n",
"244 87 5\n",
"765 100 45\n",
"305 203 824\n",
"64 12 1\n",
"894 1 978\n",
"18 11 10\n",
"6 1 4\n",
"3 1 4\n",
"7 3 283\n",
"171 31 917\n",
"17 12 7\n",
"16 3 2\n",
"960 656 1422\n",
"105 5 99\n",
"46 1 1\n",
"759 10 202\n",
"1705 1125 917\n",
"1110 100 10\n",
"500 181 510\n",
"24 18 12\n",
"767 3 557\n",
"1286 123 1043\n",
"66 2 4\n",
"11 3 446\n",
"1446 100 45\n",
"479 203 824\n",
"101 3 1\n",
"894 1 822\n",
"7 3 325\n",
"171 31 603\n",
"24 3 2\n",
"1470 992 414\n",
"817 656 1422\n",
"185 5 99\n",
"759 4 202\n",
"1329 1125 917\n",
"500 164 510\n",
"767 3 545\n",
"1286 187 1043\n",
"8 3 446\n",
"139 100 45\n",
"902 203 824\n",
"111 3 1\n",
"7 3 227\n",
"171 31 262\n",
"1470 990 414\n",
"817 656 2204\n",
"52 5 99\n",
"759 3 202\n",
"2126 1125 917\n",
"1100 110 10\n",
"1010 999 1\n",
"5 3 1\n",
"70 11 1\n",
"101 10 1\n",
"5 2 5\n",
"25 12 1\n",
"6 1 1\n",
"993 992 414\n",
"31 19 7\n",
"1010 976 1\n",
"888 777 1011\n",
"70 7 1\n",
"17 6 1\n",
"64 10 1\n",
"18 11 1\n",
"3 2 4\n",
"29 12 7\n",
"25 8 1\n",
"1011 976 1\n",
"1110 110 10\n",
"70 9 1\n",
"64 13 1\n",
"4 2 4\n",
"29 20 7\n",
"29 3 2\n",
"25 7 1\n",
"1011 791 1\n"
],
"output": [
"5\n",
"1\n",
"3\n",
"1\n",
"990\n",
"27\n",
"1127\n",
"3\n",
"19325\n",
"3\n",
"24\n",
"1\n",
"151\n",
"90\n",
"200\n",
"143\n",
"4\n",
"12\n",
"196605\n",
"2\n",
"999\n",
"2\n",
"2\n",
"4693\n",
"15\n",
"3\n",
"127\n",
"3\n",
"2\n",
"600\n",
"8\n",
"235\n",
"999000\n",
"212\n",
"9\n",
"35\n",
"892107\n",
"1\n",
"3\n",
"8\n",
"1\n",
"1\n",
"3\n",
"20\n",
"267\n",
"15678\n",
"5\n",
"214\n",
"1\n",
"39\n",
"1201\n",
"59\n",
"9213\n",
"6\n",
"1009\n",
"91\n",
"529\n",
"145\n",
"11\n",
"130899\n",
"8501\n",
"2\n",
"260\n",
"892\n",
"10\n",
"300\n",
"415\n",
"5\n",
"873354\n",
"7\n",
"20\n",
"8\n",
"378\n",
"4142\n",
"3\n",
"9\n",
"659\n",
"1980\n",
"45\n",
"15130\n",
"473\n",
"101\n",
"899\n",
"4\n",
"141850\n",
"9862\n",
"128\n",
"1190\n",
"606\n",
"1121\n",
"33\n",
"734046\n",
"434\n",
"2724\n",
"14\n",
"200\n",
"349\n",
"3564\n",
"38128\n",
"167\n",
"1045\n",
"138794\n",
"6130\n",
"744\n",
"18\n",
"2838\n",
"36\n",
"303\n",
"1184\n",
"201\n",
"541\n",
"931\n",
"50904\n",
"816\n",
"90\n",
"1\n",
"1\n",
"6\n",
"10\n",
"8\n",
"2\n",
"5\n",
"1\n",
"5\n",
"1\n",
"145\n",
"9\n",
"2\n",
"6\n",
"1\n",
"2\n",
"10\n",
"3\n",
"1\n",
"91\n",
"7\n",
"4\n",
"4\n",
"4\n",
"18\n",
"3\n",
"1\n"
]
} | 2CODEFORCES
|
195_A. Let's Watch Football_372 | Valeric and Valerko missed the last Euro football game, so they decided to watch the game's key moments on the Net. They want to start watching as soon as possible but the connection speed is too low. If they turn on the video right now, it will "hang up" as the size of data to watch per second will be more than the size of downloaded data per second.
The guys want to watch the whole video without any pauses, so they have to wait some integer number of seconds for a part of the video to download. After this number of seconds passes, they can start watching. Waiting for the whole video to download isn't necessary as the video can download after the guys started to watch.
Let's suppose that video's length is c seconds and Valeric and Valerko wait t seconds before the watching. Then for any moment of time t0, t ≤ t0 ≤ c + t, the following condition must fulfill: the size of data received in t0 seconds is not less than the size of data needed to watch t0 - t seconds of the video.
Of course, the guys want to wait as little as possible, so your task is to find the minimum integer number of seconds to wait before turning the video on. The guys must watch the video without pauses.
Input
The first line contains three space-separated integers a, b and c (1 ≤ a, b, c ≤ 1000, a > b). The first number (a) denotes the size of data needed to watch one second of the video. The second number (b) denotes the size of data Valeric and Valerko can download from the Net per second. The third number (c) denotes the video's length in seconds.
Output
Print a single number — the minimum integer number of seconds that Valeric and Valerko must wait to watch football without pauses.
Examples
Input
4 1 1
Output
3
Input
10 3 2
Output
5
Input
13 12 1
Output
1
Note
In the first sample video's length is 1 second and it is necessary 4 units of data for watching 1 second of video, so guys should download 4 · 1 = 4 units of data to watch the whole video. The most optimal way is to wait 3 seconds till 3 units of data will be downloaded and then start watching. While guys will be watching video 1 second, one unit of data will be downloaded and Valerik and Valerko will have 4 units of data by the end of watching. Also every moment till the end of video guys will have more data then necessary for watching.
In the second sample guys need 2 · 10 = 20 units of data, so they have to wait 5 seconds and after that they will have 20 units before the second second ends. However, if guys wait 4 seconds, they will be able to watch first second of video without pauses, but they will download 18 units of data by the end of second second and it is less then necessary. | from math import ceil
a,b,c = map(int,input().split())
t = (a*c - c*b)/b
print(ceil(t)) | 3Python3
| {
"input": [
"10 3 2\n",
"13 12 1\n",
"4 1 1\n",
"993 992 991\n",
"100 1 10\n",
"960 935 994\n",
"99 8 99\n",
"60 16 1\n",
"759 10 258\n",
"24 19 9\n",
"196 169 144\n",
"1000 999 1\n",
"945 812 917\n",
"1000 100 10\n",
"500 300 300\n",
"888 777 1000\n",
"2 1 4\n",
"24 12 12\n",
"767 2 514\n",
"2 1 2\n",
"1000 1 1\n",
"5 2 1\n",
"70 32 1\n",
"765 123 899\n",
"17 7 10\n",
"5 4 10\n",
"888 777 888\n",
"66 38 4\n",
"1000 999 1000\n",
"9 3 300\n",
"244 87 4\n",
"765 123 45\n",
"1000 1 1000\n",
"305 203 421\n",
"100 10 1\n",
"64 12 8\n",
"894 1 999\n",
"2 1 1\n",
"18 14 10\n",
"6 2 4\n",
"888 777 1\n",
"27 26 1\n",
"2 1 3\n",
"5 1 5\n",
"7 3 200\n",
"561 31 917\n",
"17 10 7\n",
"93 74 831\n",
"993 992 471\n",
"960 935 1422\n",
"105 8 99\n",
"60 1 1\n",
"759 10 123\n",
"31 19 9\n",
"1705 812 917\n",
"1010 100 10\n",
"500 181 300\n",
"888 777 1010\n",
"24 13 12\n",
"767 3 514\n",
"1286 123 899\n",
"17 7 1\n",
"66 1 4\n",
"9 3 446\n",
"244 87 5\n",
"765 100 45\n",
"305 203 824\n",
"64 12 1\n",
"894 1 978\n",
"18 11 10\n",
"6 1 4\n",
"3 1 4\n",
"7 3 283\n",
"171 31 917\n",
"17 12 7\n",
"16 3 2\n",
"960 656 1422\n",
"105 5 99\n",
"46 1 1\n",
"759 10 202\n",
"1705 1125 917\n",
"1110 100 10\n",
"500 181 510\n",
"24 18 12\n",
"767 3 557\n",
"1286 123 1043\n",
"66 2 4\n",
"11 3 446\n",
"1446 100 45\n",
"479 203 824\n",
"101 3 1\n",
"894 1 822\n",
"7 3 325\n",
"171 31 603\n",
"24 3 2\n",
"1470 992 414\n",
"817 656 1422\n",
"185 5 99\n",
"759 4 202\n",
"1329 1125 917\n",
"500 164 510\n",
"767 3 545\n",
"1286 187 1043\n",
"8 3 446\n",
"139 100 45\n",
"902 203 824\n",
"111 3 1\n",
"7 3 227\n",
"171 31 262\n",
"1470 990 414\n",
"817 656 2204\n",
"52 5 99\n",
"759 3 202\n",
"2126 1125 917\n",
"1100 110 10\n",
"1010 999 1\n",
"5 3 1\n",
"70 11 1\n",
"101 10 1\n",
"5 2 5\n",
"25 12 1\n",
"6 1 1\n",
"993 992 414\n",
"31 19 7\n",
"1010 976 1\n",
"888 777 1011\n",
"70 7 1\n",
"17 6 1\n",
"64 10 1\n",
"18 11 1\n",
"3 2 4\n",
"29 12 7\n",
"25 8 1\n",
"1011 976 1\n",
"1110 110 10\n",
"70 9 1\n",
"64 13 1\n",
"4 2 4\n",
"29 20 7\n",
"29 3 2\n",
"25 7 1\n",
"1011 791 1\n"
],
"output": [
"5\n",
"1\n",
"3\n",
"1\n",
"990\n",
"27\n",
"1127\n",
"3\n",
"19325\n",
"3\n",
"24\n",
"1\n",
"151\n",
"90\n",
"200\n",
"143\n",
"4\n",
"12\n",
"196605\n",
"2\n",
"999\n",
"2\n",
"2\n",
"4693\n",
"15\n",
"3\n",
"127\n",
"3\n",
"2\n",
"600\n",
"8\n",
"235\n",
"999000\n",
"212\n",
"9\n",
"35\n",
"892107\n",
"1\n",
"3\n",
"8\n",
"1\n",
"1\n",
"3\n",
"20\n",
"267\n",
"15678\n",
"5\n",
"214\n",
"1\n",
"39\n",
"1201\n",
"59\n",
"9213\n",
"6\n",
"1009\n",
"91\n",
"529\n",
"145\n",
"11\n",
"130899\n",
"8501\n",
"2\n",
"260\n",
"892\n",
"10\n",
"300\n",
"415\n",
"5\n",
"873354\n",
"7\n",
"20\n",
"8\n",
"378\n",
"4142\n",
"3\n",
"9\n",
"659\n",
"1980\n",
"45\n",
"15130\n",
"473\n",
"101\n",
"899\n",
"4\n",
"141850\n",
"9862\n",
"128\n",
"1190\n",
"606\n",
"1121\n",
"33\n",
"734046\n",
"434\n",
"2724\n",
"14\n",
"200\n",
"349\n",
"3564\n",
"38128\n",
"167\n",
"1045\n",
"138794\n",
"6130\n",
"744\n",
"18\n",
"2838\n",
"36\n",
"303\n",
"1184\n",
"201\n",
"541\n",
"931\n",
"50904\n",
"816\n",
"90\n",
"1\n",
"1\n",
"6\n",
"10\n",
"8\n",
"2\n",
"5\n",
"1\n",
"5\n",
"1\n",
"145\n",
"9\n",
"2\n",
"6\n",
"1\n",
"2\n",
"10\n",
"3\n",
"1\n",
"91\n",
"7\n",
"4\n",
"4\n",
"4\n",
"18\n",
"3\n",
"1\n"
]
} | 2CODEFORCES
|
195_A. Let's Watch Football_373 | Valeric and Valerko missed the last Euro football game, so they decided to watch the game's key moments on the Net. They want to start watching as soon as possible but the connection speed is too low. If they turn on the video right now, it will "hang up" as the size of data to watch per second will be more than the size of downloaded data per second.
The guys want to watch the whole video without any pauses, so they have to wait some integer number of seconds for a part of the video to download. After this number of seconds passes, they can start watching. Waiting for the whole video to download isn't necessary as the video can download after the guys started to watch.
Let's suppose that video's length is c seconds and Valeric and Valerko wait t seconds before the watching. Then for any moment of time t0, t ≤ t0 ≤ c + t, the following condition must fulfill: the size of data received in t0 seconds is not less than the size of data needed to watch t0 - t seconds of the video.
Of course, the guys want to wait as little as possible, so your task is to find the minimum integer number of seconds to wait before turning the video on. The guys must watch the video without pauses.
Input
The first line contains three space-separated integers a, b and c (1 ≤ a, b, c ≤ 1000, a > b). The first number (a) denotes the size of data needed to watch one second of the video. The second number (b) denotes the size of data Valeric and Valerko can download from the Net per second. The third number (c) denotes the video's length in seconds.
Output
Print a single number — the minimum integer number of seconds that Valeric and Valerko must wait to watch football without pauses.
Examples
Input
4 1 1
Output
3
Input
10 3 2
Output
5
Input
13 12 1
Output
1
Note
In the first sample video's length is 1 second and it is necessary 4 units of data for watching 1 second of video, so guys should download 4 · 1 = 4 units of data to watch the whole video. The most optimal way is to wait 3 seconds till 3 units of data will be downloaded and then start watching. While guys will be watching video 1 second, one unit of data will be downloaded and Valerik and Valerko will have 4 units of data by the end of watching. Also every moment till the end of video guys will have more data then necessary for watching.
In the second sample guys need 2 · 10 = 20 units of data, so they have to wait 5 seconds and after that they will have 20 units before the second second ends. However, if guys wait 4 seconds, they will be able to watch first second of video without pauses, but they will download 18 units of data by the end of second second and it is less then necessary. | import java.util.Scanner;
public class P7 {
public static void main(String[] arg) {
Scanner sc = new Scanner(System.in);
int a = sc.nextInt();
int b = sc.nextInt();
int c = sc.nextInt();
int tot = a*c;
int cont = 0;
while(tot > 0){
tot = tot -b;
cont++;
}
tot = a*c;
int f = 0;
int cont2 = 0;
while(f + c*b < tot){
cont2++;
f=f+b;
}
System.out.println(cont2);
}
}
| 4JAVA
| {
"input": [
"10 3 2\n",
"13 12 1\n",
"4 1 1\n",
"993 992 991\n",
"100 1 10\n",
"960 935 994\n",
"99 8 99\n",
"60 16 1\n",
"759 10 258\n",
"24 19 9\n",
"196 169 144\n",
"1000 999 1\n",
"945 812 917\n",
"1000 100 10\n",
"500 300 300\n",
"888 777 1000\n",
"2 1 4\n",
"24 12 12\n",
"767 2 514\n",
"2 1 2\n",
"1000 1 1\n",
"5 2 1\n",
"70 32 1\n",
"765 123 899\n",
"17 7 10\n",
"5 4 10\n",
"888 777 888\n",
"66 38 4\n",
"1000 999 1000\n",
"9 3 300\n",
"244 87 4\n",
"765 123 45\n",
"1000 1 1000\n",
"305 203 421\n",
"100 10 1\n",
"64 12 8\n",
"894 1 999\n",
"2 1 1\n",
"18 14 10\n",
"6 2 4\n",
"888 777 1\n",
"27 26 1\n",
"2 1 3\n",
"5 1 5\n",
"7 3 200\n",
"561 31 917\n",
"17 10 7\n",
"93 74 831\n",
"993 992 471\n",
"960 935 1422\n",
"105 8 99\n",
"60 1 1\n",
"759 10 123\n",
"31 19 9\n",
"1705 812 917\n",
"1010 100 10\n",
"500 181 300\n",
"888 777 1010\n",
"24 13 12\n",
"767 3 514\n",
"1286 123 899\n",
"17 7 1\n",
"66 1 4\n",
"9 3 446\n",
"244 87 5\n",
"765 100 45\n",
"305 203 824\n",
"64 12 1\n",
"894 1 978\n",
"18 11 10\n",
"6 1 4\n",
"3 1 4\n",
"7 3 283\n",
"171 31 917\n",
"17 12 7\n",
"16 3 2\n",
"960 656 1422\n",
"105 5 99\n",
"46 1 1\n",
"759 10 202\n",
"1705 1125 917\n",
"1110 100 10\n",
"500 181 510\n",
"24 18 12\n",
"767 3 557\n",
"1286 123 1043\n",
"66 2 4\n",
"11 3 446\n",
"1446 100 45\n",
"479 203 824\n",
"101 3 1\n",
"894 1 822\n",
"7 3 325\n",
"171 31 603\n",
"24 3 2\n",
"1470 992 414\n",
"817 656 1422\n",
"185 5 99\n",
"759 4 202\n",
"1329 1125 917\n",
"500 164 510\n",
"767 3 545\n",
"1286 187 1043\n",
"8 3 446\n",
"139 100 45\n",
"902 203 824\n",
"111 3 1\n",
"7 3 227\n",
"171 31 262\n",
"1470 990 414\n",
"817 656 2204\n",
"52 5 99\n",
"759 3 202\n",
"2126 1125 917\n",
"1100 110 10\n",
"1010 999 1\n",
"5 3 1\n",
"70 11 1\n",
"101 10 1\n",
"5 2 5\n",
"25 12 1\n",
"6 1 1\n",
"993 992 414\n",
"31 19 7\n",
"1010 976 1\n",
"888 777 1011\n",
"70 7 1\n",
"17 6 1\n",
"64 10 1\n",
"18 11 1\n",
"3 2 4\n",
"29 12 7\n",
"25 8 1\n",
"1011 976 1\n",
"1110 110 10\n",
"70 9 1\n",
"64 13 1\n",
"4 2 4\n",
"29 20 7\n",
"29 3 2\n",
"25 7 1\n",
"1011 791 1\n"
],
"output": [
"5\n",
"1\n",
"3\n",
"1\n",
"990\n",
"27\n",
"1127\n",
"3\n",
"19325\n",
"3\n",
"24\n",
"1\n",
"151\n",
"90\n",
"200\n",
"143\n",
"4\n",
"12\n",
"196605\n",
"2\n",
"999\n",
"2\n",
"2\n",
"4693\n",
"15\n",
"3\n",
"127\n",
"3\n",
"2\n",
"600\n",
"8\n",
"235\n",
"999000\n",
"212\n",
"9\n",
"35\n",
"892107\n",
"1\n",
"3\n",
"8\n",
"1\n",
"1\n",
"3\n",
"20\n",
"267\n",
"15678\n",
"5\n",
"214\n",
"1\n",
"39\n",
"1201\n",
"59\n",
"9213\n",
"6\n",
"1009\n",
"91\n",
"529\n",
"145\n",
"11\n",
"130899\n",
"8501\n",
"2\n",
"260\n",
"892\n",
"10\n",
"300\n",
"415\n",
"5\n",
"873354\n",
"7\n",
"20\n",
"8\n",
"378\n",
"4142\n",
"3\n",
"9\n",
"659\n",
"1980\n",
"45\n",
"15130\n",
"473\n",
"101\n",
"899\n",
"4\n",
"141850\n",
"9862\n",
"128\n",
"1190\n",
"606\n",
"1121\n",
"33\n",
"734046\n",
"434\n",
"2724\n",
"14\n",
"200\n",
"349\n",
"3564\n",
"38128\n",
"167\n",
"1045\n",
"138794\n",
"6130\n",
"744\n",
"18\n",
"2838\n",
"36\n",
"303\n",
"1184\n",
"201\n",
"541\n",
"931\n",
"50904\n",
"816\n",
"90\n",
"1\n",
"1\n",
"6\n",
"10\n",
"8\n",
"2\n",
"5\n",
"1\n",
"5\n",
"1\n",
"145\n",
"9\n",
"2\n",
"6\n",
"1\n",
"2\n",
"10\n",
"3\n",
"1\n",
"91\n",
"7\n",
"4\n",
"4\n",
"4\n",
"18\n",
"3\n",
"1\n"
]
} | 2CODEFORCES
|
219_A. k-String_374 | A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string.
You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string.
Input
The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s.
Output
Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them.
If the solution doesn't exist, print "-1" (without quotes).
Examples
Input
2
aazz
Output
azaz
Input
3
abcabcabz
Output
-1 | k = input()
s = [i for i in raw_input()]
d = {}
for i in set(s):
d[i] = s.count(i)
if d[i]%k != 0:
print -1
exit()
ss = ''
for i in d.keys():
ss += i*(d[i]/k)
print ss*k | 1Python2
| {
"input": [
"2\naazz\n",
"3\nabcabcabz\n",
"2\naaab\n",
"2\nbabac\n",
"2\naaaaaabbbb\n",
"1\naabaab\n",
"2\naabbbbccccccdddddddd\n",
"2\nabba\n",
"2\naaaazzzz\n",
"250\ncececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"3\naaaaaaaaacccdddddd\n",
"2\naabaab\n",
"1\naaaaa\n",
"7\nabacaba\n",
"2\naaaabbbb\n",
"5\naaaaa\n",
"1\naaa\n",
"2\naaazz\n",
"3\naabaaaaabb\n",
"2\naaaa\n",
"2\naa\n",
"3\nbbbccc\n",
"15\nabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaa\n",
"1\na\n",
"2\nbbaaaa\n",
"2\naaaabb\n",
"2\naabbbb\n",
"2\naaaaaazz\n",
"3\naaaaaaaaacccbbbbbb\n",
"2\nbbbbaa\n",
"2\naaaazz\n",
"2\naazzzz\n",
"2\nacaccc\n",
"2\naaba\n",
"2\nabaaaababb\n",
"2\naabbbccccbccdddddddd\n",
"3\naaaaadaaacccddddad\n",
"2\naabbaa\n",
"1\naaaab\n",
"2\nabaabbab\n",
"3\ncccbbb\n",
"1\nb\n",
"2\nzzaaaaaa\n",
"2\nzzzzaa\n",
"2\ncccaca\n",
"2\nabab\n",
"1\nbaaab\n",
"2\nabbabb\n",
"1\nbaabb\n",
"2\naazzyy\n",
"1\ncaaab\n",
"1\ncaabb\n",
"2\naabbcbccccccbdddcddd\n",
"1\ncbabb\n",
"2\nbabab\n",
"2\nabaa\n",
"250\ncecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"7\ncbaaaba\n",
"3\naabaabaabb\n",
"15\nabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaababaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaa\n",
"2\naababb\n",
"2\naabbbc\n",
"3\naaaaaaaaacccbbbbbc\n",
"2\nabaazz\n",
"3\nabcabbabz\n",
"2\nbabbb\n",
"2\nabaaaabbbb\n",
"2\naabbbccccbccddddcddd\n",
"250\necececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececec\n",
"3\ndaddddcccaaadaaaaa\n",
"7\ncbaabba\n",
"2\nabaabcab\n",
"3\nbbaabaabaa\n",
"3\ndccbbb\n",
"2\ncbbbaa\n",
"2\nzzbaaaaa\n",
"3\naaaaaaaabcccbbbbbc\n",
"2\nzzaaba\n",
"2\naazzzy\n",
"2\nccacca\n",
"3\nabcabbaby\n",
"2\naabb\n",
"2\nbbbba\n",
"2\nababaabbba\n",
"2\naabbbcccccccddddcddd\n",
"250\necececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececec\n",
"3\ndaddddcccaabdaaaaa\n",
"7\nabbaabc\n",
"2\nbbaabcab\n",
"3\naabaacaabb\n",
"3\ndccbcb\n",
"2\nbababb\n",
"2\nabbbac\n",
"2\nyzbaaaaa\n",
"3\naaaaaaaabcccbbbbbd\n",
"2\nzaaabz\n",
"2\nccabca\n",
"3\nabcabbaay\n",
"2\nbbaa\n",
"2\nbbbaa\n",
"2\nababaababa\n",
"2\naabbbccccccccdddcddd\n",
"250\ncecececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"3\ndaddddaccaabdaacaa\n",
"7\nabbbaac\n",
"2\nbaabbcab\n",
"3\naabbacaabb\n",
"3\ndbcbcb\n",
"2\nbbabab\n",
"2\ncbbbab\n",
"2\naaaaabzy\n",
"3\naaaaaaaabcccbbbbad\n",
"2\nzaabaz\n",
"2\nazazyy\n",
"2\ncaabcc\n",
"3\nabcababay\n",
"2\nbaba\n",
"2\naabbb\n",
"2\nababbababa\n",
"2\naabbccccccccbdddcddd\n",
"250\ncecececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececedecececececececececececececececececececececececececececececececece\n",
"3\ndaddddadcaabdaacaa\n",
"7\nabbbaab\n",
"2\nbaabbcac\n",
"3\naabbacbabb\n",
"3\ndbcbcc\n",
"2\ncbbbac\n",
"2\nyzbabaaa\n",
"3\naaaaaaaabccccbbbad\n",
"2\nzabaaz\n",
"2\nyyzaza\n",
"3\nabbababay\n",
"2\nbaaa\n"
],
"output": [
"azaz",
"-1\n",
"-1\n",
"-1\n",
"aaabbaaabb",
"aaaabb\n",
"abbcccddddabbcccdddd",
"abab\n",
"aazzaazz",
"cececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"aaacddaaacddaaacdd",
"aabaab\n",
"aaaaa\n",
"-1\n",
"aabbaabb\n",
"aaaaa\n",
"aaa\n",
"-1\n",
"-1\n",
"aaaa\n",
"aa\n",
"bcbcbc\n",
"aaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbc",
"a\n",
"aabaab\n",
"aabaab\n",
"abbabb\n",
"aaazaaaz",
"aaabbcaaabbcaaabbc\n",
"abbabb\n",
"aazaaz",
"azzazz\n",
"accacc\n",
"-1\n",
"aaabbaaabb\n",
"abbcccddddabbcccdddd\n",
"aaacddaaacddaaacdd\n",
"aabaab\n",
"aaaab\n",
"aabbaabb\n",
"bcbcbc\n",
"b\n",
"aaazaaaz\n",
"azzazz\n",
"accacc\n",
"abab\n",
"aaabb\n",
"abbabb\n",
"aabbb\n",
"ayzayz\n",
"aaabc\n",
"aabbc\n",
"abbccccdddabbccccddd\n",
"abbbc\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"aaacddaaacddaaacdd\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"accacc\n",
"-1\n",
"abab\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abbabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abab\n",
"-1\n",
"aaabbaaabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abbabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"ayzayz\n",
"-1\n",
"-1\n",
"abab\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"ayzayz\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
219_A. k-String_375 | A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string.
You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string.
Input
The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s.
Output
Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them.
If the solution doesn't exist, print "-1" (without quotes).
Examples
Input
2
aazz
Output
azaz
Input
3
abcabcabz
Output
-1 | #include <bits/stdc++.h>
using namespace std;
int main() {
int n;
cin >> n;
string s;
cin >> s;
int ara[26];
for (int i = 0; i < 26; i++) {
ara[i] = 0;
}
for (int i = 0, len = s.length(); i < len; i++) {
ara[s[i] - 'a']++;
}
for (int i = 0; i < 26; i++) {
if (ara[i] % n != 0) {
printf("-1");
return 0;
}
ara[i] /= n;
}
for (int k = 0; k < n; k++) {
for (int i = 0; i < 26; i++) {
for (int j = 0; j < ara[i]; j++) {
printf("%c", i + 'a');
}
}
}
printf("\n");
}
| 2C++
| {
"input": [
"2\naazz\n",
"3\nabcabcabz\n",
"2\naaab\n",
"2\nbabac\n",
"2\naaaaaabbbb\n",
"1\naabaab\n",
"2\naabbbbccccccdddddddd\n",
"2\nabba\n",
"2\naaaazzzz\n",
"250\ncececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"3\naaaaaaaaacccdddddd\n",
"2\naabaab\n",
"1\naaaaa\n",
"7\nabacaba\n",
"2\naaaabbbb\n",
"5\naaaaa\n",
"1\naaa\n",
"2\naaazz\n",
"3\naabaaaaabb\n",
"2\naaaa\n",
"2\naa\n",
"3\nbbbccc\n",
"15\nabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaa\n",
"1\na\n",
"2\nbbaaaa\n",
"2\naaaabb\n",
"2\naabbbb\n",
"2\naaaaaazz\n",
"3\naaaaaaaaacccbbbbbb\n",
"2\nbbbbaa\n",
"2\naaaazz\n",
"2\naazzzz\n",
"2\nacaccc\n",
"2\naaba\n",
"2\nabaaaababb\n",
"2\naabbbccccbccdddddddd\n",
"3\naaaaadaaacccddddad\n",
"2\naabbaa\n",
"1\naaaab\n",
"2\nabaabbab\n",
"3\ncccbbb\n",
"1\nb\n",
"2\nzzaaaaaa\n",
"2\nzzzzaa\n",
"2\ncccaca\n",
"2\nabab\n",
"1\nbaaab\n",
"2\nabbabb\n",
"1\nbaabb\n",
"2\naazzyy\n",
"1\ncaaab\n",
"1\ncaabb\n",
"2\naabbcbccccccbdddcddd\n",
"1\ncbabb\n",
"2\nbabab\n",
"2\nabaa\n",
"250\ncecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"7\ncbaaaba\n",
"3\naabaabaabb\n",
"15\nabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaababaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaa\n",
"2\naababb\n",
"2\naabbbc\n",
"3\naaaaaaaaacccbbbbbc\n",
"2\nabaazz\n",
"3\nabcabbabz\n",
"2\nbabbb\n",
"2\nabaaaabbbb\n",
"2\naabbbccccbccddddcddd\n",
"250\necececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececec\n",
"3\ndaddddcccaaadaaaaa\n",
"7\ncbaabba\n",
"2\nabaabcab\n",
"3\nbbaabaabaa\n",
"3\ndccbbb\n",
"2\ncbbbaa\n",
"2\nzzbaaaaa\n",
"3\naaaaaaaabcccbbbbbc\n",
"2\nzzaaba\n",
"2\naazzzy\n",
"2\nccacca\n",
"3\nabcabbaby\n",
"2\naabb\n",
"2\nbbbba\n",
"2\nababaabbba\n",
"2\naabbbcccccccddddcddd\n",
"250\necececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececec\n",
"3\ndaddddcccaabdaaaaa\n",
"7\nabbaabc\n",
"2\nbbaabcab\n",
"3\naabaacaabb\n",
"3\ndccbcb\n",
"2\nbababb\n",
"2\nabbbac\n",
"2\nyzbaaaaa\n",
"3\naaaaaaaabcccbbbbbd\n",
"2\nzaaabz\n",
"2\nccabca\n",
"3\nabcabbaay\n",
"2\nbbaa\n",
"2\nbbbaa\n",
"2\nababaababa\n",
"2\naabbbccccccccdddcddd\n",
"250\ncecececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"3\ndaddddaccaabdaacaa\n",
"7\nabbbaac\n",
"2\nbaabbcab\n",
"3\naabbacaabb\n",
"3\ndbcbcb\n",
"2\nbbabab\n",
"2\ncbbbab\n",
"2\naaaaabzy\n",
"3\naaaaaaaabcccbbbbad\n",
"2\nzaabaz\n",
"2\nazazyy\n",
"2\ncaabcc\n",
"3\nabcababay\n",
"2\nbaba\n",
"2\naabbb\n",
"2\nababbababa\n",
"2\naabbccccccccbdddcddd\n",
"250\ncecececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececedecececececececececececececececececececececececececececececececece\n",
"3\ndaddddadcaabdaacaa\n",
"7\nabbbaab\n",
"2\nbaabbcac\n",
"3\naabbacbabb\n",
"3\ndbcbcc\n",
"2\ncbbbac\n",
"2\nyzbabaaa\n",
"3\naaaaaaaabccccbbbad\n",
"2\nzabaaz\n",
"2\nyyzaza\n",
"3\nabbababay\n",
"2\nbaaa\n"
],
"output": [
"azaz",
"-1\n",
"-1\n",
"-1\n",
"aaabbaaabb",
"aaaabb\n",
"abbcccddddabbcccdddd",
"abab\n",
"aazzaazz",
"cececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"aaacddaaacddaaacdd",
"aabaab\n",
"aaaaa\n",
"-1\n",
"aabbaabb\n",
"aaaaa\n",
"aaa\n",
"-1\n",
"-1\n",
"aaaa\n",
"aa\n",
"bcbcbc\n",
"aaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbc",
"a\n",
"aabaab\n",
"aabaab\n",
"abbabb\n",
"aaazaaaz",
"aaabbcaaabbcaaabbc\n",
"abbabb\n",
"aazaaz",
"azzazz\n",
"accacc\n",
"-1\n",
"aaabbaaabb\n",
"abbcccddddabbcccdddd\n",
"aaacddaaacddaaacdd\n",
"aabaab\n",
"aaaab\n",
"aabbaabb\n",
"bcbcbc\n",
"b\n",
"aaazaaaz\n",
"azzazz\n",
"accacc\n",
"abab\n",
"aaabb\n",
"abbabb\n",
"aabbb\n",
"ayzayz\n",
"aaabc\n",
"aabbc\n",
"abbccccdddabbccccddd\n",
"abbbc\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"aaacddaaacddaaacdd\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"accacc\n",
"-1\n",
"abab\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abbabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abab\n",
"-1\n",
"aaabbaaabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abbabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"ayzayz\n",
"-1\n",
"-1\n",
"abab\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"ayzayz\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
219_A. k-String_376 | A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string.
You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string.
Input
The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s.
Output
Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them.
If the solution doesn't exist, print "-1" (without quotes).
Examples
Input
2
aazz
Output
azaz
Input
3
abcabcabz
Output
-1 | from collections import Counter
import string
import math
import sys
def array_int():
return [int(i) for i in sys.stdin.readline().split()]
def vary(number_of_variables):
if number_of_variables==1:
return int(sys.stdin.readline())
if number_of_variables>=2:
return map(int,sys.stdin.readline().split())
def makedict(var):
return dict(Counter(var))
mod=100000007
k=vary(1)
s=input()
tt=makedict(list(s))
ans=''
for i in tt:
if tt[i]%k!=0:
print(-1)
exit()
else:
ans+=i*(tt[i]//k)
print(ans*k)
| 3Python3
| {
"input": [
"2\naazz\n",
"3\nabcabcabz\n",
"2\naaab\n",
"2\nbabac\n",
"2\naaaaaabbbb\n",
"1\naabaab\n",
"2\naabbbbccccccdddddddd\n",
"2\nabba\n",
"2\naaaazzzz\n",
"250\ncececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"3\naaaaaaaaacccdddddd\n",
"2\naabaab\n",
"1\naaaaa\n",
"7\nabacaba\n",
"2\naaaabbbb\n",
"5\naaaaa\n",
"1\naaa\n",
"2\naaazz\n",
"3\naabaaaaabb\n",
"2\naaaa\n",
"2\naa\n",
"3\nbbbccc\n",
"15\nabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaa\n",
"1\na\n",
"2\nbbaaaa\n",
"2\naaaabb\n",
"2\naabbbb\n",
"2\naaaaaazz\n",
"3\naaaaaaaaacccbbbbbb\n",
"2\nbbbbaa\n",
"2\naaaazz\n",
"2\naazzzz\n",
"2\nacaccc\n",
"2\naaba\n",
"2\nabaaaababb\n",
"2\naabbbccccbccdddddddd\n",
"3\naaaaadaaacccddddad\n",
"2\naabbaa\n",
"1\naaaab\n",
"2\nabaabbab\n",
"3\ncccbbb\n",
"1\nb\n",
"2\nzzaaaaaa\n",
"2\nzzzzaa\n",
"2\ncccaca\n",
"2\nabab\n",
"1\nbaaab\n",
"2\nabbabb\n",
"1\nbaabb\n",
"2\naazzyy\n",
"1\ncaaab\n",
"1\ncaabb\n",
"2\naabbcbccccccbdddcddd\n",
"1\ncbabb\n",
"2\nbabab\n",
"2\nabaa\n",
"250\ncecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"7\ncbaaaba\n",
"3\naabaabaabb\n",
"15\nabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaababaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaa\n",
"2\naababb\n",
"2\naabbbc\n",
"3\naaaaaaaaacccbbbbbc\n",
"2\nabaazz\n",
"3\nabcabbabz\n",
"2\nbabbb\n",
"2\nabaaaabbbb\n",
"2\naabbbccccbccddddcddd\n",
"250\necececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececec\n",
"3\ndaddddcccaaadaaaaa\n",
"7\ncbaabba\n",
"2\nabaabcab\n",
"3\nbbaabaabaa\n",
"3\ndccbbb\n",
"2\ncbbbaa\n",
"2\nzzbaaaaa\n",
"3\naaaaaaaabcccbbbbbc\n",
"2\nzzaaba\n",
"2\naazzzy\n",
"2\nccacca\n",
"3\nabcabbaby\n",
"2\naabb\n",
"2\nbbbba\n",
"2\nababaabbba\n",
"2\naabbbcccccccddddcddd\n",
"250\necececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececec\n",
"3\ndaddddcccaabdaaaaa\n",
"7\nabbaabc\n",
"2\nbbaabcab\n",
"3\naabaacaabb\n",
"3\ndccbcb\n",
"2\nbababb\n",
"2\nabbbac\n",
"2\nyzbaaaaa\n",
"3\naaaaaaaabcccbbbbbd\n",
"2\nzaaabz\n",
"2\nccabca\n",
"3\nabcabbaay\n",
"2\nbbaa\n",
"2\nbbbaa\n",
"2\nababaababa\n",
"2\naabbbccccccccdddcddd\n",
"250\ncecececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"3\ndaddddaccaabdaacaa\n",
"7\nabbbaac\n",
"2\nbaabbcab\n",
"3\naabbacaabb\n",
"3\ndbcbcb\n",
"2\nbbabab\n",
"2\ncbbbab\n",
"2\naaaaabzy\n",
"3\naaaaaaaabcccbbbbad\n",
"2\nzaabaz\n",
"2\nazazyy\n",
"2\ncaabcc\n",
"3\nabcababay\n",
"2\nbaba\n",
"2\naabbb\n",
"2\nababbababa\n",
"2\naabbccccccccbdddcddd\n",
"250\ncecececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececedecececececececececececececececececececececececececececececececece\n",
"3\ndaddddadcaabdaacaa\n",
"7\nabbbaab\n",
"2\nbaabbcac\n",
"3\naabbacbabb\n",
"3\ndbcbcc\n",
"2\ncbbbac\n",
"2\nyzbabaaa\n",
"3\naaaaaaaabccccbbbad\n",
"2\nzabaaz\n",
"2\nyyzaza\n",
"3\nabbababay\n",
"2\nbaaa\n"
],
"output": [
"azaz",
"-1\n",
"-1\n",
"-1\n",
"aaabbaaabb",
"aaaabb\n",
"abbcccddddabbcccdddd",
"abab\n",
"aazzaazz",
"cececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"aaacddaaacddaaacdd",
"aabaab\n",
"aaaaa\n",
"-1\n",
"aabbaabb\n",
"aaaaa\n",
"aaa\n",
"-1\n",
"-1\n",
"aaaa\n",
"aa\n",
"bcbcbc\n",
"aaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbc",
"a\n",
"aabaab\n",
"aabaab\n",
"abbabb\n",
"aaazaaaz",
"aaabbcaaabbcaaabbc\n",
"abbabb\n",
"aazaaz",
"azzazz\n",
"accacc\n",
"-1\n",
"aaabbaaabb\n",
"abbcccddddabbcccdddd\n",
"aaacddaaacddaaacdd\n",
"aabaab\n",
"aaaab\n",
"aabbaabb\n",
"bcbcbc\n",
"b\n",
"aaazaaaz\n",
"azzazz\n",
"accacc\n",
"abab\n",
"aaabb\n",
"abbabb\n",
"aabbb\n",
"ayzayz\n",
"aaabc\n",
"aabbc\n",
"abbccccdddabbccccddd\n",
"abbbc\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"aaacddaaacddaaacdd\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"accacc\n",
"-1\n",
"abab\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abbabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abab\n",
"-1\n",
"aaabbaaabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abbabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"ayzayz\n",
"-1\n",
"-1\n",
"abab\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"ayzayz\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
219_A. k-String_377 | A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string.
You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string.
Input
The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s.
Output
Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them.
If the solution doesn't exist, print "-1" (without quotes).
Examples
Input
2
aazz
Output
azaz
Input
3
abcabcabz
Output
-1 | import java.io.PrintWriter;
import java.util.Scanner;
/**
* <a href="http://codeforces.ru/problemset/problem/219/A"/>
*
* @author pvasilyev
* @since 07 Jan 2014
*/
public class Problem084 {
public static void main(String[] args) {
final Scanner reader = new Scanner(System.in);
final PrintWriter writer = new PrintWriter(System.out);
solve(reader, writer);
reader.close();
writer.close();
}
private static void solve(final Scanner reader, final PrintWriter writer) {
final int k = reader.nextInt();
final char[] string = reader.next().toCharArray();
if (string.length % k != 0) {
writer.println(-1);
return;
}
int[] counts = new int[26];
for (int i = 0; i < string.length; i++) {
counts[string[i]-'a']++;
}
if (!accepts(counts, k)) {
writer.println(-1);
return;
}
final StringBuilder stringBuilder = new StringBuilder();
for (int i = 0; i < counts.length; i++) {
final int count = counts[i] / k;
for (int j = 0; j < count; ++j) {
stringBuilder.append((char)('a'+i));
}
}
final StringBuilder result = new StringBuilder();
for (int i = 0; i < k; ++i) {
result.append(stringBuilder);
}
writer.println(result.toString());
}
private static boolean accepts(final int[] counts, final int k) {
for (int i = 0; i < counts.length; i++) {
if (counts[i] % k != 0) {
return false;
}
}
return true;
}
}
| 4JAVA
| {
"input": [
"2\naazz\n",
"3\nabcabcabz\n",
"2\naaab\n",
"2\nbabac\n",
"2\naaaaaabbbb\n",
"1\naabaab\n",
"2\naabbbbccccccdddddddd\n",
"2\nabba\n",
"2\naaaazzzz\n",
"250\ncececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"3\naaaaaaaaacccdddddd\n",
"2\naabaab\n",
"1\naaaaa\n",
"7\nabacaba\n",
"2\naaaabbbb\n",
"5\naaaaa\n",
"1\naaa\n",
"2\naaazz\n",
"3\naabaaaaabb\n",
"2\naaaa\n",
"2\naa\n",
"3\nbbbccc\n",
"15\nabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaa\n",
"1\na\n",
"2\nbbaaaa\n",
"2\naaaabb\n",
"2\naabbbb\n",
"2\naaaaaazz\n",
"3\naaaaaaaaacccbbbbbb\n",
"2\nbbbbaa\n",
"2\naaaazz\n",
"2\naazzzz\n",
"2\nacaccc\n",
"2\naaba\n",
"2\nabaaaababb\n",
"2\naabbbccccbccdddddddd\n",
"3\naaaaadaaacccddddad\n",
"2\naabbaa\n",
"1\naaaab\n",
"2\nabaabbab\n",
"3\ncccbbb\n",
"1\nb\n",
"2\nzzaaaaaa\n",
"2\nzzzzaa\n",
"2\ncccaca\n",
"2\nabab\n",
"1\nbaaab\n",
"2\nabbabb\n",
"1\nbaabb\n",
"2\naazzyy\n",
"1\ncaaab\n",
"1\ncaabb\n",
"2\naabbcbccccccbdddcddd\n",
"1\ncbabb\n",
"2\nbabab\n",
"2\nabaa\n",
"250\ncecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"7\ncbaaaba\n",
"3\naabaabaabb\n",
"15\nabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaababaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaaabaabbbcababaaa\n",
"2\naababb\n",
"2\naabbbc\n",
"3\naaaaaaaaacccbbbbbc\n",
"2\nabaazz\n",
"3\nabcabbabz\n",
"2\nbabbb\n",
"2\nabaaaabbbb\n",
"2\naabbbccccbccddddcddd\n",
"250\necececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececec\n",
"3\ndaddddcccaaadaaaaa\n",
"7\ncbaabba\n",
"2\nabaabcab\n",
"3\nbbaabaabaa\n",
"3\ndccbbb\n",
"2\ncbbbaa\n",
"2\nzzbaaaaa\n",
"3\naaaaaaaabcccbbbbbc\n",
"2\nzzaaba\n",
"2\naazzzy\n",
"2\nccacca\n",
"3\nabcabbaby\n",
"2\naabb\n",
"2\nbbbba\n",
"2\nababaabbba\n",
"2\naabbbcccccccddddcddd\n",
"250\necececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebecececececececececec\n",
"3\ndaddddcccaabdaaaaa\n",
"7\nabbaabc\n",
"2\nbbaabcab\n",
"3\naabaacaabb\n",
"3\ndccbcb\n",
"2\nbababb\n",
"2\nabbbac\n",
"2\nyzbaaaaa\n",
"3\naaaaaaaabcccbbbbbd\n",
"2\nzaaabz\n",
"2\nccabca\n",
"3\nabcabbaay\n",
"2\nbbaa\n",
"2\nbbbaa\n",
"2\nababaababa\n",
"2\naabbbccccccccdddcddd\n",
"250\ncecececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"3\ndaddddaccaabdaacaa\n",
"7\nabbbaac\n",
"2\nbaabbcab\n",
"3\naabbacaabb\n",
"3\ndbcbcb\n",
"2\nbbabab\n",
"2\ncbbbab\n",
"2\naaaaabzy\n",
"3\naaaaaaaabcccbbbbad\n",
"2\nzaabaz\n",
"2\nazazyy\n",
"2\ncaabcc\n",
"3\nabcababay\n",
"2\nbaba\n",
"2\naabbb\n",
"2\nababbababa\n",
"2\naabbccccccccbdddcddd\n",
"250\ncecececececececececebecececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececebececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececedecececececececececececececececececececececececececececececececece\n",
"3\ndaddddadcaabdaacaa\n",
"7\nabbbaab\n",
"2\nbaabbcac\n",
"3\naabbacbabb\n",
"3\ndbcbcc\n",
"2\ncbbbac\n",
"2\nyzbabaaa\n",
"3\naaaaaaaabccccbbbad\n",
"2\nzabaaz\n",
"2\nyyzaza\n",
"3\nabbababay\n",
"2\nbaaa\n"
],
"output": [
"azaz",
"-1\n",
"-1\n",
"-1\n",
"aaabbaaabb",
"aaaabb\n",
"abbcccddddabbcccdddd",
"abab\n",
"aazzaazz",
"cececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececececece\n",
"aaacddaaacddaaacdd",
"aabaab\n",
"aaaaa\n",
"-1\n",
"aabbaabb\n",
"aaaaa\n",
"aaa\n",
"-1\n",
"-1\n",
"aaaa\n",
"aa\n",
"bcbcbc\n",
"aaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbcaaaaaaaabbbbbbc",
"a\n",
"aabaab\n",
"aabaab\n",
"abbabb\n",
"aaazaaaz",
"aaabbcaaabbcaaabbc\n",
"abbabb\n",
"aazaaz",
"azzazz\n",
"accacc\n",
"-1\n",
"aaabbaaabb\n",
"abbcccddddabbcccdddd\n",
"aaacddaaacddaaacdd\n",
"aabaab\n",
"aaaab\n",
"aabbaabb\n",
"bcbcbc\n",
"b\n",
"aaazaaaz\n",
"azzazz\n",
"accacc\n",
"abab\n",
"aaabb\n",
"abbabb\n",
"aabbb\n",
"ayzayz\n",
"aaabc\n",
"aabbc\n",
"abbccccdddabbccccddd\n",
"abbbc\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"aaacddaaacddaaacdd\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"accacc\n",
"-1\n",
"abab\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abbabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abab\n",
"-1\n",
"aaabbaaabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"abbabb\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"ayzayz\n",
"-1\n",
"-1\n",
"abab\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"ayzayz\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
242_C. King's Path_378 | The black king is standing on a chess field consisting of 109 rows and 109 columns. We will consider the rows of the field numbered with integers from 1 to 109 from top to bottom. The columns are similarly numbered with integers from 1 to 109 from left to right. We will denote a cell of the field that is located in the i-th row and j-th column as (i, j).
You know that some squares of the given chess field are allowed. All allowed cells of the chess field are given as n segments. Each segment is described by three integers ri, ai, bi (ai ≤ bi), denoting that cells in columns from number ai to number bi inclusive in the ri-th row are allowed.
Your task is to find the minimum number of moves the king needs to get from square (x0, y0) to square (x1, y1), provided that he only moves along the allowed cells. In other words, the king can be located only on allowed cells on his way.
Let us remind you that a chess king can move to any of the neighboring cells in one move. Two cells of a chess field are considered neighboring if they share at least one point.
Input
The first line contains four space-separated integers x0, y0, x1, y1 (1 ≤ x0, y0, x1, y1 ≤ 109), denoting the initial and the final positions of the king.
The second line contains a single integer n (1 ≤ n ≤ 105), denoting the number of segments of allowed cells. Next n lines contain the descriptions of these segments. The i-th line contains three space-separated integers ri, ai, bi (1 ≤ ri, ai, bi ≤ 109, ai ≤ bi), denoting that cells in columns from number ai to number bi inclusive in the ri-th row are allowed. Note that the segments of the allowed cells can intersect and embed arbitrarily.
It is guaranteed that the king's initial and final position are allowed cells. It is guaranteed that the king's initial and the final positions do not coincide. It is guaranteed that the total length of all given segments doesn't exceed 105.
Output
If there is no path between the initial and final position along allowed cells, print -1.
Otherwise print a single integer — the minimum number of moves the king needs to get from the initial position to the final one.
Examples
Input
5 7 6 11
3
5 3 8
6 7 11
5 2 5
Output
4
Input
3 4 3 10
3
3 1 4
4 5 9
3 10 10
Output
6
Input
1 1 2 10
2
1 1 3
2 6 10
Output
-1 | from collections import deque
R=lambda:map(int,raw_input().split())
x1,y1,x2,y2=R()
n=input()
inf=10**9
t={}
for _ in xrange(n):
r,a,b=R()
while a<=b:
t[(r,a)]=inf
a+=1
if (x1,y1) in t and (x2,y2) in t:
t[(x1,y1)]=0
q=deque(((x1,y1,0),))
while q and t[(x2,y2)]>=inf:
x,y,z=q.popleft()
for u in xrange(x-1,x+2):
for v in xrange(y-1,y+2):
if (u,v) in t and t[(u,v)]>=inf:
t[(u,v)]=z+1
q.append((u,v,z+1))
print t[(x2,y2)] if t[(x2,y2)]<inf else -1
else:
print -1
| 1Python2
| {
"input": [
"3 4 3 10\n3\n3 1 4\n4 5 9\n3 10 10\n",
"1 1 2 10\n2\n1 1 3\n2 6 10\n",
"5 7 6 11\n3\n5 3 8\n6 7 11\n5 2 5\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 15 15\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n98 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 89 89\n88 29 30\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n10 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"2 1 1 1\n2\n1 1 2\n2 1 2\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 10 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n19 10 10\n19 10 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 15 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"3 4 3 10\n3\n3 1 6\n4 5 9\n3 10 10\n",
"30 14 39 19\n31\n35 8 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n33 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"5 8 6 11\n3\n5 3 8\n6 7 11\n5 2 5\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 8 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"1 1 1000000000 4\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 154\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 24\n7 14 14\n8 15 15\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n98 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 69 89\n88 29 30\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 7\n45 12 12\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 10 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n35 10 10\n19 10 10\n",
"1 1 2 10\n2\n1 1 2\n2 6 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n1 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n1 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 1 5\n9 8 8\n8 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 2 10\n2\n1 1 2\n2 8 10\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1000000000 3\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 7758\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n10 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1000000000 6\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n10 15 15\n2 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n5 101 154\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 8 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n2 101 154\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n2 101 220\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n5 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 173 7758\n1000000000 2 10000\n1 1 10000\n2 101 220\n",
"30 14 39 14\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n5 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 974 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n0 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 4 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n10 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 15\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 5 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n19 10 10\n19 10 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n48926170 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"6 15 7 15\n9\n6 15 15\n6 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 6778\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 2 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 15 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n2 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10001\n5 100 200\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n176 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 69 89\n88 29 30\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n2 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n5 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 1 5\n9 8 10\n8 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 4 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n"
],
"output": [
"6\n",
"-1\n",
"4\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"9\n",
"2\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"6\n",
"14\n",
"3\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"9\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"-1\n",
"9\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"9\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"9\n",
"1\n",
"9\n",
"9\n",
"1\n",
"9\n",
"1\n",
"9\n",
"1\n",
"9\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"2\n",
"-1\n"
]
} | 2CODEFORCES
|
242_C. King's Path_379 | The black king is standing on a chess field consisting of 109 rows and 109 columns. We will consider the rows of the field numbered with integers from 1 to 109 from top to bottom. The columns are similarly numbered with integers from 1 to 109 from left to right. We will denote a cell of the field that is located in the i-th row and j-th column as (i, j).
You know that some squares of the given chess field are allowed. All allowed cells of the chess field are given as n segments. Each segment is described by three integers ri, ai, bi (ai ≤ bi), denoting that cells in columns from number ai to number bi inclusive in the ri-th row are allowed.
Your task is to find the minimum number of moves the king needs to get from square (x0, y0) to square (x1, y1), provided that he only moves along the allowed cells. In other words, the king can be located only on allowed cells on his way.
Let us remind you that a chess king can move to any of the neighboring cells in one move. Two cells of a chess field are considered neighboring if they share at least one point.
Input
The first line contains four space-separated integers x0, y0, x1, y1 (1 ≤ x0, y0, x1, y1 ≤ 109), denoting the initial and the final positions of the king.
The second line contains a single integer n (1 ≤ n ≤ 105), denoting the number of segments of allowed cells. Next n lines contain the descriptions of these segments. The i-th line contains three space-separated integers ri, ai, bi (1 ≤ ri, ai, bi ≤ 109, ai ≤ bi), denoting that cells in columns from number ai to number bi inclusive in the ri-th row are allowed. Note that the segments of the allowed cells can intersect and embed arbitrarily.
It is guaranteed that the king's initial and final position are allowed cells. It is guaranteed that the king's initial and the final positions do not coincide. It is guaranteed that the total length of all given segments doesn't exceed 105.
Output
If there is no path between the initial and final position along allowed cells, print -1.
Otherwise print a single integer — the minimum number of moves the king needs to get from the initial position to the final one.
Examples
Input
5 7 6 11
3
5 3 8
6 7 11
5 2 5
Output
4
Input
3 4 3 10
3
3 1 4
4 5 9
3 10 10
Output
6
Input
1 1 2 10
2
1 1 3
2 6 10
Output
-1 | #include <bits/stdc++.h>
using namespace std;
#pragma comment(linker, "/STACK:36777216")
template <class T>
inline T &RD(T &);
template <class T>
inline void OT(const T &);
inline long long RD() {
long long x;
return RD(x);
}
inline char &RC(char &c) {
scanf(" %c", &c);
return c;
}
inline char RC() {
char c;
return RC(c);
}
inline double &RF(double &x) {
scanf("%lf", &x);
return x;
}
inline double RF() {
double x;
return RF(x);
}
inline char *RS(char *s) {
scanf("%s", s);
return s;
}
template <class T0, class T1>
inline T0 &RD(T0 &x0, T1 &x1) {
RD(x0), RD(x1);
return x0;
}
template <class T0, class T1, class T2>
inline T0 &RD(T0 &x0, T1 &x1, T2 &x2) {
RD(x0), RD(x1), RD(x2);
return x0;
}
template <class T0, class T1, class T2, class T3>
inline T0 &RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3) {
RD(x0), RD(x1), RD(x2), RD(x3);
return x0;
}
template <class T0, class T1, class T2, class T3, class T4>
inline T0 &RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4) {
RD(x0), RD(x1), RD(x2), RD(x3), RD(x4);
return x0;
}
template <class T0, class T1, class T2, class T3, class T4, class T5>
inline T0 &RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5) {
RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5);
return x0;
}
template <class T0, class T1, class T2, class T3, class T4, class T5, class T6>
inline T0 &RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5, T6 &x6) {
RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5), RD(x6);
return x0;
}
template <class T0, class T1>
inline void OT(const T0 &x0, const T1 &x1) {
OT(x0), OT(x1);
}
template <class T0, class T1, class T2>
inline void OT(const T0 &x0, const T1 &x1, const T2 &x2) {
OT(x0), OT(x1), OT(x2);
}
template <class T0, class T1, class T2, class T3>
inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3) {
OT(x0), OT(x1), OT(x2), OT(x3);
}
template <class T0, class T1, class T2, class T3, class T4>
inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3,
const T4 &x4) {
OT(x0), OT(x1), OT(x2), OT(x3), OT(x4);
}
template <class T0, class T1, class T2, class T3, class T4, class T5>
inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3,
const T4 &x4, const T5 &x5) {
OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5);
}
template <class T0, class T1, class T2, class T3, class T4, class T5, class T6>
inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3,
const T4 &x4, const T5 &x5, const T6 &x6) {
OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5), OT(x6);
}
inline char &RC(char &a, char &b) {
RC(a), RC(b);
return a;
}
inline char &RC(char &a, char &b, char &c) {
RC(a), RC(b), RC(c);
return a;
}
inline char &RC(char &a, char &b, char &c, char &d) {
RC(a), RC(b), RC(c), RC(d);
return a;
}
inline char &RC(char &a, char &b, char &c, char &d, char &e) {
RC(a), RC(b), RC(c), RC(d), RC(e);
return a;
}
inline char &RC(char &a, char &b, char &c, char &d, char &e, char &f) {
RC(a), RC(b), RC(c), RC(d), RC(e), RC(f);
return a;
}
inline char &RC(char &a, char &b, char &c, char &d, char &e, char &f, char &g) {
RC(a), RC(b), RC(c), RC(d), RC(e), RC(f), RC(g);
return a;
}
inline double &RF(double &a, double &b) {
RF(a), RF(b);
return a;
}
inline double &RF(double &a, double &b, double &c) {
RF(a), RF(b), RF(c);
return a;
}
inline double &RF(double &a, double &b, double &c, double &d) {
RF(a), RF(b), RF(c), RF(d);
return a;
}
inline double &RF(double &a, double &b, double &c, double &d, double &e) {
RF(a), RF(b), RF(c), RF(d), RF(e);
return a;
}
inline double &RF(double &a, double &b, double &c, double &d, double &e,
double &f) {
RF(a), RF(b), RF(c), RF(d), RF(e), RF(f);
return a;
}
inline double &RF(double &a, double &b, double &c, double &d, double &e,
double &f, double &g) {
RF(a), RF(b), RF(c), RF(d), RF(e), RF(f), RF(g);
return a;
}
inline void RS(char *s1, char *s2) { RS(s1), RS(s2); }
inline void RS(char *s1, char *s2, char *s3) { RS(s1), RS(s2), RS(s3); }
template <class T>
inline void RST(T &A) {
memset(A, 0, sizeof(A));
}
template <class T0, class T1>
inline void RST(T0 &A0, T1 &A1) {
RST(A0), RST(A1);
}
template <class T0, class T1, class T2>
inline void RST(T0 &A0, T1 &A1, T2 &A2) {
RST(A0), RST(A1), RST(A2);
}
template <class T0, class T1, class T2, class T3>
inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3) {
RST(A0), RST(A1), RST(A2), RST(A3);
}
template <class T0, class T1, class T2, class T3, class T4>
inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4) {
RST(A0), RST(A1), RST(A2), RST(A3), RST(A4);
}
template <class T0, class T1, class T2, class T3, class T4, class T5>
inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5) {
RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5);
}
template <class T0, class T1, class T2, class T3, class T4, class T5, class T6>
inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6) {
RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5), RST(A6);
}
template <class T>
inline void FLC(T &A, int x) {
memset(A, x, sizeof(A));
}
template <class T0, class T1>
inline void FLC(T0 &A0, T1 &A1, int x) {
FLC(A0, x), FLC(A1, x);
}
template <class T0, class T1, class T2>
inline void FLC(T0 &A0, T1 &A1, T2 &A2) {
FLC(A0), FLC(A1), FLC(A2);
}
template <class T0, class T1, class T2, class T3>
inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3) {
FLC(A0), FLC(A1), FLC(A2), FLC(A3);
}
template <class T0, class T1, class T2, class T3, class T4>
inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4) {
FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4);
}
template <class T0, class T1, class T2, class T3, class T4, class T5>
inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5) {
FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5);
}
template <class T0, class T1, class T2, class T3, class T4, class T5, class T6>
inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6) {
FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5), FLC(A6);
}
template <class T>
inline void CLR(priority_queue<T, vector<T>, less<T> > &Q) {
while (!Q.empty()) Q.pop();
}
template <class T>
inline void CLR(priority_queue<T, vector<T>, greater<T> > &Q) {
while (!Q.empty()) Q.pop();
}
template <class T>
inline void CLR(T &A) {
A.clear();
}
template <class T0, class T1>
inline void CLR(T0 &A0, T1 &A1) {
CLR(A0), CLR(A1);
}
template <class T0, class T1, class T2>
inline void CLR(T0 &A0, T1 &A1, T2 &A2) {
CLR(A0), CLR(A1), CLR(A2);
}
template <class T0, class T1, class T2, class T3>
inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3) {
CLR(A0), CLR(A1), CLR(A2), CLR(A3);
}
template <class T0, class T1, class T2, class T3, class T4>
inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4) {
CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4);
}
template <class T0, class T1, class T2, class T3, class T4, class T5>
inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5) {
CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5);
}
template <class T0, class T1, class T2, class T3, class T4, class T5, class T6>
inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6) {
CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5), CLR(A6);
}
template <class T>
inline void CLR(T &A, int n) {
for (int i = 0; i < int(n); ++i) CLR(A[i]);
}
template <class T>
inline void SRT(T &A) {
sort(A.begin(), A.end());
}
template <class T, class C>
inline void SRT(T &A, C B) {
sort(A.begin(), A.end(), B);
}
const int MOD = 1000000007;
const int INF = 0x3f3f3f3f;
const double EPS = 1e-9;
const double OO = 1e15;
const double PI = acos(-1.0);
template <class T>
inline void checkMin(T &a, const T b) {
if (b < a) a = b;
}
template <class T>
inline void checkMax(T &a, const T b) {
if (b > a) a = b;
}
template <class T, class C>
inline void checkMin(T &a, const T b, C c) {
if (c(b, a)) a = b;
}
template <class T, class C>
inline void checkMax(T &a, const T b, C c) {
if (c(a, b)) a = b;
}
template <class T>
inline T min(T a, T b, T c) {
return min(min(a, b), c);
}
template <class T>
inline T max(T a, T b, T c) {
return max(max(a, b), c);
}
template <class T>
inline T min(T a, T b, T c, T d) {
return min(min(a, b), min(c, d));
}
template <class T>
inline T max(T a, T b, T c, T d) {
return max(max(a, b), max(c, d));
}
template <class T>
inline T sqr(T a) {
return a * a;
}
template <class T>
inline T cub(T a) {
return a * a * a;
}
inline int Ceil(int x, int y) { return (x - 1) / y + 1; }
inline bool _1(int x, int i) { return x & 1 << i; }
inline bool _1(long long x, int i) { return x & 1LL << i; }
inline long long _1(int i) { return 1LL << i; }
inline long long _U(int i) { return _1(i) - 1; };
template <class T>
inline T low_bit(T x) {
return x & -x;
}
template <class T>
inline T high_bit(T x) {
T p = low_bit(x);
while (p != x) x -= p, p = low_bit(x);
return p;
}
template <class T>
inline T cover_bit(T x) {
T p = 1;
while (p < x) p <<= 1;
return p;
}
inline int count_bits(int x) {
x = (x & 0x55555555) + ((x & 0xaaaaaaaa) >> 1);
x = (x & 0x33333333) + ((x & 0xcccccccc) >> 2);
x = (x & 0x0f0f0f0f) + ((x & 0xf0f0f0f0) >> 4);
x = (x & 0x00ff00ff) + ((x & 0xff00ff00) >> 8);
x = (x & 0x0000ffff) + ((x & 0xffff0000) >> 16);
return x;
}
inline int count_bits(long long x) {
x = (x & 0x5555555555555555LL) + ((x & 0xaaaaaaaaaaaaaaaaLL) >> 1);
x = (x & 0x3333333333333333LL) + ((x & 0xccccccccccccccccLL) >> 2);
x = (x & 0x0f0f0f0f0f0f0f0fLL) + ((x & 0xf0f0f0f0f0f0f0f0LL) >> 4);
x = (x & 0x00ff00ff00ff00ffLL) + ((x & 0xff00ff00ff00ff00LL) >> 8);
x = (x & 0x0000ffff0000ffffLL) + ((x & 0xffff0000ffff0000LL) >> 16);
x = (x & 0x00000000ffffffffLL) + ((x & 0xffffffff00000000LL) >> 32);
return x;
}
inline int reverse_bits(int x) {
x = ((x >> 1) & 0x55555555) | ((x << 1) & 0xaaaaaaaa);
x = ((x >> 2) & 0x33333333) | ((x << 2) & 0xcccccccc);
x = ((x >> 4) & 0x0f0f0f0f) | ((x << 4) & 0xf0f0f0f0);
x = ((x >> 8) & 0x00ff00ff) | ((x << 8) & 0xff00ff00);
x = ((x >> 16) & 0x0000ffff) | ((x << 16) & 0xffff0000);
return x;
}
inline long long reverse_bits(long long x) {
x = ((x >> 1) & 0x5555555555555555LL) | ((x << 1) & 0xaaaaaaaaaaaaaaaaLL);
x = ((x >> 2) & 0x3333333333333333LL) | ((x << 2) & 0xccccccccccccccccLL);
x = ((x >> 4) & 0x0f0f0f0f0f0f0f0fLL) | ((x << 4) & 0xf0f0f0f0f0f0f0f0LL);
x = ((x >> 8) & 0x00ff00ff00ff00ffLL) | ((x << 8) & 0xff00ff00ff00ff00LL);
x = ((x >> 16) & 0x0000ffff0000ffffLL) | ((x << 16) & 0xffff0000ffff0000LL);
x = ((x >> 32) & 0x00000000ffffffffLL) | ((x << 32) & 0xffffffff00000000LL);
return x;
}
inline void INC(int &a, int b) {
a += b;
if (a >= MOD) a -= MOD;
}
inline int sum(int a, int b) {
a += b;
if (a >= MOD) a -= MOD;
return a;
}
inline void DEC(int &a, int b) {
a -= b;
if (a < 0) a += MOD;
}
inline int dff(int a, int b) {
a -= b;
if (a < 0) a += MOD;
return a;
}
inline void MUL(int &a, int b) { a = (long long)a * b % MOD; }
inline int pdt(int a, int b) { return (long long)a * b % MOD; }
inline int sum(int a, int b, int c) { return sum(sum(a, b), c); }
inline int sum(int a, int b, int c, int d) { return sum(sum(a, b), sum(c, d)); }
inline int pdt(int a, int b, int c) { return pdt(pdt(a, b), c); }
inline int pdt(int a, int b, int c, int d) { return pdt(pdt(pdt(a, b), c), d); }
inline int pow(int a, long long b) {
int c(1);
while (b) {
if (b & 1) MUL(c, a);
MUL(a, a), b >>= 1;
}
return c;
}
template <class T>
inline T pow(T a, long long b) {
T c(1);
while (b) {
if (b & 1) c *= a;
a *= a, b >>= 1;
}
return c;
}
inline int _I(int b) {
int a = MOD, x1 = 0, x2 = 1, q;
while (true) {
q = a / b, a %= b;
if (!a) return (x2 + MOD) % MOD;
DEC(x1, pdt(q, x2));
q = b / a, b %= a;
if (!b) return (x1 + MOD) % MOD;
DEC(x2, pdt(q, x1));
}
}
inline void DIA(int &a, int b) { MUL(a, _I(b)); }
inline int qtt(int a, int b) { return pdt(a, _I(b)); }
inline int phi(int n) {
int res = n;
for (int i = 2; sqr(i) <= n; ++i)
if (!(n % i)) {
DEC(res, qtt(res, i));
do {
n /= i;
} while (!(n % i));
}
if (n != 1) DEC(res, qtt(res, n));
return res;
}
struct Po;
struct Line;
struct Seg;
inline int sgn(double x) { return x < -EPS ? -1 : x > EPS; }
inline int sgn(double x, double y) { return sgn(x - y); }
struct Po {
double x, y;
Po(double _x = 0, double _y = 0) : x(_x), y(_y) {}
friend istream &operator>>(istream &in, Po &p) { return in >> p.x >> p.y; }
friend ostream &operator<<(ostream &out, Po p) {
return out << "(" << p.x << ", " << p.y << ")";
}
friend bool operator==(Po, Po);
friend bool operator!=(Po, Po);
friend Po operator+(Po, Po);
friend Po operator-(Po, Po);
friend Po operator*(Po, double);
friend Po operator/(Po, double);
bool operator<(const Po &rhs) const {
return sgn(x, rhs.x) < 0 || sgn(x, rhs.x) == 0 && sgn(y, rhs.y) < 0;
}
Po operator-() const { return Po(-x, -y); }
Po &operator+=(Po rhs) {
x += rhs.x, y += rhs.y;
return *this;
}
Po &operator-=(Po rhs) {
x -= rhs.x, y -= rhs.y;
return *this;
}
Po &operator*=(double k) {
x *= k, y *= k;
return *this;
}
Po &operator/=(double k) {
x /= k, y /= k;
return *this;
}
double length_sqr() const { return sqr(x) + sqr(y); }
double length() const { return sqrt(length_sqr()); }
Po unit() const { return (*this) / length(); }
bool dgt() const { return !sgn(x) && !sgn(y); }
double atan() const { return atan2(y, x); }
void input() { scanf("%lf %lf", &x, &y); }
};
bool operator==(Po a, Po b) {
return sgn(a.x - b.x) == 0 && sgn(a.y - b.y) == 0;
}
bool operator!=(Po a, Po b) {
return sgn(a.x - b.x) != 0 || sgn(a.y - b.y) != 0;
}
Po operator+(Po a, Po b) { return Po(a.x + b.x, a.y + b.y); }
Po operator-(Po a, Po b) { return Po(a.x - b.x, a.y - b.y); }
Po operator*(Po a, double k) { return Po(a.x * k, a.y * k); }
Po operator*(double k, Po a) { return a * k; }
Po operator/(Po a, double k) { return Po(a.x / k, a.y / k); }
struct Line {
Po a, b;
Line(const Po &a = Po(), const Po &b = Po()) : a(a), b(b) {}
Line(const Line &l) : a(l.a), b(l.b) {}
Line(double x0, double y0, double x1, double y1)
: a(Po(x0, y0)), b(Po(x1, y1)) {}
void getequation(double, double, double) const;
Line operator+(Po x) const { return Line(a + x, b + x); }
friend ostream &operator<<(ostream &out, Line p) {
return out << p.a << "-" << p.b;
}
double length() const { return (b - a).length(); }
bool dgt() const { return (a - b).dgt(); }
void input() { a.input(), b.input(); }
};
struct Seg : Line {
Seg(const Po &a = Po(), const Po &b = Po()) : Line(a, b) {}
Seg(const Line &l) : Line(l) {}
Seg(double x0, double y0, double x1, double y1) : Line(x0, y0, x1, y1) {}
};
inline double dot(const double &x1, const double &y1, const double &x2,
const double &y2) {
return x1 * x2 + y1 * y2;
}
inline double dot(const Po &a, const Po &b) { return dot(a.x, a.y, b.x, b.y); }
inline double dot(const Po &p0, const Po &p1, const Po &p2) {
return dot(p1 - p0, p2 - p0);
}
inline double dot(const Po &o, const Line &l) { return dot(o, l.a, l.b); }
inline double dot(const Line &l, const Po &o) { return dot(o, l.a, l.b); }
inline double dot(const Line &l1, const Line &l2) {
return dot(l1.b - l1.a, l2.b - l2.a);
}
inline double det(const double &x1, const double &y1, const double &x2,
const double &y2) {
return x1 * y2 - x2 * y1;
}
inline double det(const Po &a, const Po &b) { return det(a.x, a.y, b.x, b.y); }
inline double det(const Po &p0, const Po &p1, const Po &p2) {
return det(p1 - p0, p2 - p0);
}
inline double det(const Po &o, const Line &l) { return det(o, l.a, l.b); }
inline double det(const Line &l, const Po &o) { return det(o, l.a, l.b); }
inline double det(const Line &l1, const Line &l2) {
return det(l1.b - l1.a, l2.b - l2.a);
}
void Line::getequation(double A, double B, double C) const {
A = a.y - b.y, B = b.x - a.x, C = det(a, b);
}
template <class T1, class T2>
inline double dist(const T1 &x, const T2 &y) {
return sqrt(dist_sqr(x, y));
}
template <class T1, class T2>
inline int dett(const T1 &x, const T2 &y) {
return sgn(det(x, y));
}
template <class T1, class T2>
inline int dott(const T1 &x, const T2 &y) {
return sgn(dot(x, y));
}
template <class T1, class T2, class T3>
inline int dett(const T1 &x, const T2 &y, const T3 &z) {
return sgn(det(x, y, z));
}
template <class T1, class T2, class T3>
inline int dott(const T1 &x, const T2 &y, const T3 &z) {
return sgn(dot(x, y, z));
}
template <class T1, class T2, class T3, class T4>
inline int dett(const T1 &x, const T2 &y, const T3 &z, const T4 &w) {
return sgn(det(x, y, z, w));
}
template <class T1, class T2, class T3, class T4>
inline int dott(const T1 &x, const T2 &y, const T3 &z, const T4 &w) {
return sgn(dot(x, y, z, w));
}
inline double dist_sqr(const Po &a, const Po &b) {
return sqr(a.x - b.x) + sqr(a.y - b.y);
}
inline double dist_sqr(const Po &p, const Line &l) {
Po v0 = l.b - l.a, v1 = p - l.a;
return sqr(fabs(det(v0, v1))) / v0.length_sqr();
}
inline double dist_sqr(const Po &p, const Seg &l) {
Po v0 = l.b - l.a, v1 = p - l.a, v2 = p - l.b;
if (sgn(dot(v0, v1)) * sgn(dot(v0, v2)) <= 0)
return dist_sqr(p, Line(l));
else
return min(v1.length_sqr(), v2.length_sqr());
}
inline double dist_sqr(Line l, Po p) { return dist_sqr(p, l); }
inline double dist_sqr(Seg l, Po p) { return dist_sqr(p, l); }
inline double dist_sqr(Line l1, Line l2) {
if (sgn(det(l1, l2)) != 0) return 0;
return dist_sqr(l1.a, l2);
}
inline double dist_sqr(Line l1, Seg l2) {
Po v0 = l1.b - l1.a, v1 = l2.a - l1.a, v2 = l2.b - l1.a;
double c1 = det(v0, v1), c2 = det(v0, v2);
return sgn(c1) != sgn(c2) ? 0
: sqr(min(fabs(c1), fabs(c2))) / v0.length_sqr();
}
bool isIntersect(Seg l1, Seg l2) {
if (l1.a == l2.a || l1.a == l2.b || l1.b == l2.a || l1.b == l2.b) return true;
return min(l1.a.x, l1.b.x) <= max(l2.a.x, l2.b.x) &&
min(l2.a.x, l2.b.x) <= max(l1.a.x, l1.b.x) &&
min(l1.a.y, l1.b.y) <= max(l2.a.y, l2.b.y) &&
min(l2.a.y, l2.b.y) <= max(l1.a.y, l1.b.y) &&
sgn(det(l1.a, l2.a, l2.b)) * sgn(det(l1.b, l2.a, l2.b)) <= 0 &&
sgn(det(l2.a, l1.a, l1.b)) * sgn(det(l2.b, l1.a, l1.b)) <= 0;
}
inline double dist_sqr(Seg l1, Seg l2) {
if (isIntersect(l1, l2))
return 0;
else
return min(dist_sqr(l1.a, l2), dist_sqr(l1.b, l2), dist_sqr(l2.a, l1),
dist_sqr(l2.b, l1));
}
inline bool isOnSide(const Po &p, const Seg &l) { return p == l.a || p == l.b; }
inline bool isOnSeg(const Po &p, const Seg &l) {
return sgn(det(p, l.a, l.b)) == 0 && sgn(l.a.x, p.x) * sgn(l.b.x, p.x) <= 0 &&
sgn(l.a.y, p.y) * sgn(l.b.y, p.y) <= 0;
}
inline bool isOnSegg(const Po &p, const Seg &l) {
return sgn(det(p, l.a, l.b)) == 0 && sgn(l.a.x, p.x) * sgn(l.b.x, p.x) < 0 &&
sgn(l.a.y, p.y) * sgn(l.b.y, p.y) < 0;
}
inline Po intersect(const Line &l1, const Line &l2) {
return l1.a + (l1.b - l1.a) * (det(l2.a, l1.a, l2.b) / det(l2, l1));
}
inline Po intersect(const Po &p, const Line &l) {
return intersect(Line(p, p + Po(l.a.y - l.b.y, l.b.x - l.a.x)), l);
}
inline Po rotate(Po p, double alpha, Po o = Po()) {
p.x -= o.x, p.y -= o.y;
return Po(p.x * cos(alpha) - p.y * sin(alpha),
p.y * cos(alpha) + p.x * sin(alpha)) +
o;
}
inline int rand32() {
return (bool(rand() & 1) << 30) | (rand() << 15) + rand();
}
inline int random32(int l, int r) { return rand32() % (r - l + 1) + l; }
inline int random(int l, int r) { return rand() % (r - l + 1) + l; }
int dice() { return rand() % 6; }
bool coin() { return rand() % 2; }
template <class T>
inline T &RD(T &x) {
scanf("%d", &x);
return x;
}
int ____Case;
template <class T>
inline void OT(const T &x) {
cout << x << endl;
}
const int N = 2e5;
set<pair<int, int> > vis;
map<pair<int, int>, int> step;
queue<pair<int, int> > q;
const int dir[][2] = {{-1, -1}, {-1, 0}, {-1, 1}, {0, -1},
{0, 1}, {1, -1}, {1, 0}, {1, 1}};
pair<int, int> st, ed;
int n, a, b, r;
void solve() {
vis.clear();
step.clear();
while (!q.empty()) q.pop();
step[st] = 0;
cin >> n;
vis.insert(st);
vis.insert(ed);
while (n--) {
cin >> r >> a >> b;
for (int i = a; i <= b; ++i) vis.insert(make_pair(r, i));
}
q.push(st);
while (!q.empty()) {
pair<int, int> go, now = q.front();
int nowstep = step[now];
q.pop();
for (int d = 0; d < 8; ++d) {
go = make_pair(now.first + dir[d][0], now.second + dir[d][1]);
if (vis.find(go) != vis.end() && step.find(go) == step.end()) {
step[go] = nowstep + 1;
q.push(go);
if (go == ed) {
cout << nowstep + 1 << endl;
return;
}
}
}
}
cout << -1 << endl;
}
int main() {
while (cin >> st.first >> st.second >> ed.first >> ed.second) solve();
}
| 2C++
| {
"input": [
"3 4 3 10\n3\n3 1 4\n4 5 9\n3 10 10\n",
"1 1 2 10\n2\n1 1 3\n2 6 10\n",
"5 7 6 11\n3\n5 3 8\n6 7 11\n5 2 5\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 15 15\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n98 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 89 89\n88 29 30\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n10 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"2 1 1 1\n2\n1 1 2\n2 1 2\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 10 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n19 10 10\n19 10 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 15 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"3 4 3 10\n3\n3 1 6\n4 5 9\n3 10 10\n",
"30 14 39 19\n31\n35 8 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n33 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"5 8 6 11\n3\n5 3 8\n6 7 11\n5 2 5\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 8 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"1 1 1000000000 4\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 154\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 24\n7 14 14\n8 15 15\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n98 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 69 89\n88 29 30\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 7\n45 12 12\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 10 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n35 10 10\n19 10 10\n",
"1 1 2 10\n2\n1 1 2\n2 6 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n1 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n1 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 1 5\n9 8 8\n8 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 2 10\n2\n1 1 2\n2 8 10\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1000000000 3\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 7758\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n10 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1000000000 6\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n10 15 15\n2 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n5 101 154\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 8 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n2 101 154\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n2 101 220\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n5 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 173 7758\n1000000000 2 10000\n1 1 10000\n2 101 220\n",
"30 14 39 14\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n5 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 974 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n0 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 4 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n10 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 15\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 5 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n19 10 10\n19 10 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n48926170 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"6 15 7 15\n9\n6 15 15\n6 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 6778\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 2 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 15 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n2 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10001\n5 100 200\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n176 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 69 89\n88 29 30\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n2 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n5 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 1 5\n9 8 10\n8 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 4 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n"
],
"output": [
"6\n",
"-1\n",
"4\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"9\n",
"2\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"6\n",
"14\n",
"3\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"9\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"-1\n",
"9\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"9\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"9\n",
"1\n",
"9\n",
"9\n",
"1\n",
"9\n",
"1\n",
"9\n",
"1\n",
"9\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"2\n",
"-1\n"
]
} | 2CODEFORCES
|
242_C. King's Path_380 | The black king is standing on a chess field consisting of 109 rows and 109 columns. We will consider the rows of the field numbered with integers from 1 to 109 from top to bottom. The columns are similarly numbered with integers from 1 to 109 from left to right. We will denote a cell of the field that is located in the i-th row and j-th column as (i, j).
You know that some squares of the given chess field are allowed. All allowed cells of the chess field are given as n segments. Each segment is described by three integers ri, ai, bi (ai ≤ bi), denoting that cells in columns from number ai to number bi inclusive in the ri-th row are allowed.
Your task is to find the minimum number of moves the king needs to get from square (x0, y0) to square (x1, y1), provided that he only moves along the allowed cells. In other words, the king can be located only on allowed cells on his way.
Let us remind you that a chess king can move to any of the neighboring cells in one move. Two cells of a chess field are considered neighboring if they share at least one point.
Input
The first line contains four space-separated integers x0, y0, x1, y1 (1 ≤ x0, y0, x1, y1 ≤ 109), denoting the initial and the final positions of the king.
The second line contains a single integer n (1 ≤ n ≤ 105), denoting the number of segments of allowed cells. Next n lines contain the descriptions of these segments. The i-th line contains three space-separated integers ri, ai, bi (1 ≤ ri, ai, bi ≤ 109, ai ≤ bi), denoting that cells in columns from number ai to number bi inclusive in the ri-th row are allowed. Note that the segments of the allowed cells can intersect and embed arbitrarily.
It is guaranteed that the king's initial and final position are allowed cells. It is guaranteed that the king's initial and the final positions do not coincide. It is guaranteed that the total length of all given segments doesn't exceed 105.
Output
If there is no path between the initial and final position along allowed cells, print -1.
Otherwise print a single integer — the minimum number of moves the king needs to get from the initial position to the final one.
Examples
Input
5 7 6 11
3
5 3 8
6 7 11
5 2 5
Output
4
Input
3 4 3 10
3
3 1 4
4 5 9
3 10 10
Output
6
Input
1 1 2 10
2
1 1 3
2 6 10
Output
-1 | from collections import deque
x0,y0,x1,y1=list(map(int, input().split()))
n=int(input())
allowed={}
for i in range(n):
r,a,b=list(map(int,input().split()))
for j in range(a,b+1):
allowed[(r,j)]=True
visited={}
q=deque()
q.append((x0,y0))
visited[(x0,y0)]=0
dire=[(-1,0),(1,0),(0,-1),(0,1),(-1,-1),(-1,1),(1,1),(1,-1)]
result=-1;
while len(q)>0:
x,y=q.popleft()
original_dist=visited[(x,y)]
if x==x1 and y==y1:
result=original_dist;
break;
for i in range(len(dire)):
dx,dy=dire[i]
nx,ny=x+dx,y+dy
if (nx,ny) in allowed and (nx,ny) not in visited:
q.append((nx,ny))
visited[(nx,ny)]=original_dist+1
print(result)
| 3Python3
| {
"input": [
"3 4 3 10\n3\n3 1 4\n4 5 9\n3 10 10\n",
"1 1 2 10\n2\n1 1 3\n2 6 10\n",
"5 7 6 11\n3\n5 3 8\n6 7 11\n5 2 5\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 15 15\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n98 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 89 89\n88 29 30\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n10 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"2 1 1 1\n2\n1 1 2\n2 1 2\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 10 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n19 10 10\n19 10 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 15 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"3 4 3 10\n3\n3 1 6\n4 5 9\n3 10 10\n",
"30 14 39 19\n31\n35 8 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n33 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"5 8 6 11\n3\n5 3 8\n6 7 11\n5 2 5\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 8 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"1 1 1000000000 4\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 154\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 24\n7 14 14\n8 15 15\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n98 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 69 89\n88 29 30\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 7\n45 12 12\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 10 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n35 10 10\n19 10 10\n",
"1 1 2 10\n2\n1 1 2\n2 6 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n1 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n1 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 1 5\n9 8 8\n8 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 2 10\n2\n1 1 2\n2 8 10\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1000000000 3\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 7758\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n10 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1000000000 6\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n10 15 15\n2 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n5 101 154\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 8 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n2 101 154\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n2 101 220\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n5 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 173 7758\n1000000000 2 10000\n1 1 10000\n2 101 220\n",
"30 14 39 14\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n5 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 974 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n0 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 4 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n10 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 15\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 5 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n19 10 10\n19 10 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n48926170 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"6 15 7 15\n9\n6 15 15\n6 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 6778\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 2 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 15 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n2 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10001\n5 100 200\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n176 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 69 89\n88 29 30\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n2 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n5 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 1 5\n9 8 10\n8 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 4 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n"
],
"output": [
"6\n",
"-1\n",
"4\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"9\n",
"2\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"6\n",
"14\n",
"3\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"9\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"-1\n",
"9\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"9\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"9\n",
"1\n",
"9\n",
"9\n",
"1\n",
"9\n",
"1\n",
"9\n",
"1\n",
"9\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"2\n",
"-1\n"
]
} | 2CODEFORCES
|
242_C. King's Path_381 | The black king is standing on a chess field consisting of 109 rows and 109 columns. We will consider the rows of the field numbered with integers from 1 to 109 from top to bottom. The columns are similarly numbered with integers from 1 to 109 from left to right. We will denote a cell of the field that is located in the i-th row and j-th column as (i, j).
You know that some squares of the given chess field are allowed. All allowed cells of the chess field are given as n segments. Each segment is described by three integers ri, ai, bi (ai ≤ bi), denoting that cells in columns from number ai to number bi inclusive in the ri-th row are allowed.
Your task is to find the minimum number of moves the king needs to get from square (x0, y0) to square (x1, y1), provided that he only moves along the allowed cells. In other words, the king can be located only on allowed cells on his way.
Let us remind you that a chess king can move to any of the neighboring cells in one move. Two cells of a chess field are considered neighboring if they share at least one point.
Input
The first line contains four space-separated integers x0, y0, x1, y1 (1 ≤ x0, y0, x1, y1 ≤ 109), denoting the initial and the final positions of the king.
The second line contains a single integer n (1 ≤ n ≤ 105), denoting the number of segments of allowed cells. Next n lines contain the descriptions of these segments. The i-th line contains three space-separated integers ri, ai, bi (1 ≤ ri, ai, bi ≤ 109, ai ≤ bi), denoting that cells in columns from number ai to number bi inclusive in the ri-th row are allowed. Note that the segments of the allowed cells can intersect and embed arbitrarily.
It is guaranteed that the king's initial and final position are allowed cells. It is guaranteed that the king's initial and the final positions do not coincide. It is guaranteed that the total length of all given segments doesn't exceed 105.
Output
If there is no path between the initial and final position along allowed cells, print -1.
Otherwise print a single integer — the minimum number of moves the king needs to get from the initial position to the final one.
Examples
Input
5 7 6 11
3
5 3 8
6 7 11
5 2 5
Output
4
Input
3 4 3 10
3
3 1 4
4 5 9
3 10 10
Output
6
Input
1 1 2 10
2
1 1 3
2 6 10
Output
-1 | import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.Queue;
import java.util.Scanner;
import java.util.StringTokenizer;
import java.util.TreeMap;
import java.util.TreeSet;
public class CodeForces {
static int OO = (int) 1e9;
static int[][] grid;
static TreeSet<Pair> chess;
static TreeSet<Pair> visited;
static int[] dx = { -1, 1, 0, 0, -1, -1, 1, 1 };
static int[] dy = { 0, 0, -1, 1, 1, -1, 1, -1 };
static boolean valid(int x, int y) {
return (x >= 1 && x < OO && y >= 1 && y < OO && chess.contains(new Pair(x, y)))
&& !visited.contains(new Pair(x, y));
}
static int bfs(int x0, int y0, int x1, int y1) {
Queue<Pair> qu = new LinkedList<>();
TreeMap<Pair, Integer> dis = new TreeMap<>();
visited = new TreeSet<>();
dis.put(new Pair(x0, y0), 0);
qu.add(new Pair(x0, y0));
while (!qu.isEmpty()) {
Pair cur = qu.poll();
if (cur.x == x1 && cur.y == y1)
return dis.get(cur);
for (int i = 0; i < 8; i++) {
int x = cur.x + dx[i], y = cur.y + dy[i];
Pair tmp = new Pair(x, y);
if (valid(x, y)) {
qu.add(tmp);
dis.put(tmp, dis.get(cur) + 1);
visited.add(new Pair(x, y));
}
}
}
return -1;
}
public static void main(String[] args) throws IOException {
Scanner sc = new Scanner(System.in);
PrintWriter pw = new PrintWriter(System.out);
int x0 = sc.nextInt(), y0 = sc.nextInt(), x1 = sc.nextInt(), y1 = sc.nextInt();
int n = sc.nextInt();
chess = new TreeSet<Pair>();
for (int i = 0; i < n; i++) {
int r = sc.nextInt();
int a = sc.nextInt();
int b = sc.nextInt();
for (int j = a; j <= b; j++)
chess.add(new Pair(r, j));
}
if(!chess.contains(new Pair(x0, y0)))
{
System.out.println(-1);
return;
}
int ans = bfs(x0, y0, x1, y1);
pw.print(ans);
pw.close();
}
static class Triple {
int r, a, b;
public Triple(int r, int a, int b) {
this.a = a;
this.b = b;
this.r = r;
}
}
static class Pair implements Comparable<Pair> {
int x, y;
public Pair(int x, int y) {
this.x = x;
this.y = y;
}
@Override
public int compareTo(Pair a){
if(a.x==x)return a.y-y;
return a.x-x;
}
public String toString() {
return x + " " + y;
}
}
static class Scanner {
StringTokenizer st;
BufferedReader br;
public Scanner(InputStream s) {
br = new BufferedReader(new InputStreamReader(s));
}
public String next() throws IOException {
while (st == null || !st.hasMoreTokens())
st = new StringTokenizer(br.readLine());
return st.nextToken();
}
public int nextInt() throws IOException {
return Integer.parseInt(next());
}
public long nextLong() throws IOException {
return Long.parseLong(next());
}
public String nextLine() throws IOException {
return br.readLine();
}
public double nextDouble() throws IOException {
String x = next();
StringBuilder sb = new StringBuilder("0");
double res = 0, f = 1;
boolean dec = false, neg = false;
int start = 0;
if (x.charAt(0) == '-') {
neg = true;
start++;
}
for (int i = start; i < x.length(); i++)
if (x.charAt(i) == '.') {
res = Long.parseLong(sb.toString());
sb = new StringBuilder("0");
dec = true;
} else {
sb.append(x.charAt(i));
if (dec)
f *= 10;
}
res += Long.parseLong(sb.toString()) / f;
return res * (neg ? -1 : 1);
}
public boolean ready() throws IOException {
return br.ready();
}
}
}
| 4JAVA
| {
"input": [
"3 4 3 10\n3\n3 1 4\n4 5 9\n3 10 10\n",
"1 1 2 10\n2\n1 1 3\n2 6 10\n",
"5 7 6 11\n3\n5 3 8\n6 7 11\n5 2 5\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 15 15\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n98 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 89 89\n88 29 30\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n10 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"2 1 1 1\n2\n1 1 2\n2 1 2\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 10 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n19 10 10\n19 10 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 15 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"3 4 3 10\n3\n3 1 6\n4 5 9\n3 10 10\n",
"30 14 39 19\n31\n35 8 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n33 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"5 8 6 11\n3\n5 3 8\n6 7 11\n5 2 5\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 8 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"1 1 1000000000 4\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 154\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 24\n7 14 14\n8 15 15\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n98 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 69 89\n88 29 30\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 7\n45 12 12\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 10 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n35 10 10\n19 10 10\n",
"1 1 2 10\n2\n1 1 2\n2 6 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n1 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n1 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 1 5\n9 8 8\n8 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n6 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 2 10\n2\n1 1 2\n2 8 10\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1000000000 3\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 1188 7758\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n10 15 15\n7 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1000000000 6\n5\n1000000000 2 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 1 10000\n1 1 10000\n5 101 154\n",
"6 15 7 15\n9\n10 15 15\n2 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 47\n7 14 14\n8 15 15\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 6 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n5 101 154\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"30 14 39 19\n31\n35 8 11\n37 11 12\n32 13 13\n30 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 32\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n45 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n2 101 154\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 1188 7758\n1000000000 2 10000\n1 1 10000\n2 101 220\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n5 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1010000000 1 10000\n19920401 173 7758\n1000000000 2 10000\n1 1 10000\n2 101 220\n",
"30 14 39 14\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n29 15 16\n46 13 13\n32 17 17\n41 14 19\n30 14 23\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n5 11 18\n39 12 20\n36 5 11\n45 12 12\n",
"1 1 1 2\n5\n1000000000 1 10000\n19920401 974 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000000 1 10000\n1 1 10000\n0 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 4 20\n37 16 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n10 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 15\n9 5 5\n9 8 8\n8 5 6\n9 10 10\n",
"13 16 20 10\n18\n13 16 16\n20 10 10\n19 10 10\n12 15 15\n20 10 10\n18 11 11\n19 10 10\n19 10 10\n20 10 10\n19 10 10\n20 10 10\n20 5 10\n19 10 10\n18 11 11\n13 16 16\n12 15 15\n19 10 10\n19 10 10\n",
"1 1 1 2\n5\n1000000000 1 10000\n48926170 1188 5566\n1000000000 1 10000\n1 1 10000\n5 100 200\n",
"6 15 7 15\n9\n6 15 15\n6 14 14\n6 15 15\n9 14 14\n7 14 16\n6 15 15\n6 15 15\n7 14 14\n8 13 15\n",
"1 1 1000000000 2\n5\n1000000000 1 10000\n19920401 1188 6778\n1000000010 1 10000\n1 1 10000\n5 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 2 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n34 16 18\n44 11 19\n38 13 13\n40 12 20\n37 15 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n2 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 1 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10001\n5 100 200\n",
"89 29 88 30\n16\n87 31 31\n14 95 95\n176 88 89\n96 88 88\n14 97 97\n13 97 98\n100 88 88\n88 32 32\n99 88 89\n90 29 29\n87 31 31\n15 94 96\n89 29 29\n88 32 32\n97 69 89\n88 29 30\n",
"1 1 1 2\n5\n1000000000 1 10000\n35510851 1188 5566\n1000000000 1 10000\n1 1 10000\n2 100 200\n",
"30 14 39 19\n31\n35 7 11\n37 11 12\n32 13 13\n37 5 6\n46 13 13\n37 14 14\n31 13 13\n43 13 19\n45 15 19\n46 13 13\n32 17 17\n41 14 19\n30 14 14\n43 13 17\n5 16 18\n44 11 19\n38 13 13\n40 12 20\n37 17 18\n46 16 18\n34 10 14\n36 9 10\n36 15 19\n38 15 19\n42 13 19\n33 14 15\n35 15 19\n33 17 18\n39 12 20\n36 5 7\n45 12 12\n",
"9 8 7 8\n9\n2 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 1 5\n9 8 10\n8 5 6\n9 10 10\n",
"1 1 1000000000 4\n5\n1000000000 4 10000\n19920401 1188 5566\n1000000010 1 10000\n1 1 10000\n5 100 200\n"
],
"output": [
"6\n",
"-1\n",
"4\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"9\n",
"2\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"6\n",
"14\n",
"3\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"9\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"-1\n",
"9\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"9\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"9\n",
"1\n",
"9\n",
"9\n",
"1\n",
"9\n",
"1\n",
"9\n",
"1\n",
"9\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"9\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"9\n",
"2\n",
"-1\n"
]
} | 2CODEFORCES
|
268_A. Games_382 | Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | import sys
input = sys.stdin.readline
def solve(teams):
res = 0
for first_t_i in range(len(teams)):
for second_t_i in range(len(teams)):
if first_t_i != second_t_i:
if teams[first_t_i][0] == teams[second_t_i][1]:
res += 1
return res
def inp():
return(int(input()))
def insr(n):
return [list(input()[:-1].split()) for i in range(n)]
if __name__ == "__main__":
n = inp()
i = insr(n)
print(solve(i)) | 1Python2
| {
"input": [
"2\n1 2\n1 2\n",
"4\n100 42\n42 100\n5 42\n100 5\n",
"3\n1 2\n2 4\n3 4\n",
"24\n9 83\n90 31\n83 3\n83 3\n21 31\n83 3\n32 31\n12 21\n31 21\n90 32\n32 21\n12 9\n12 31\n9 83\n83 12\n32 3\n32 83\n90 31\n9 32\n31 21\n83 90\n32 21\n21 3\n32 9\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n57 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 6\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n57 74\n15 56\n36 37\n15 66\n63 100\n16 42\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"30\n67 21\n85 39\n85 87\n21 39\n66 85\n10 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"22\n78 92\n15 92\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n24 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"29\n80 27\n69 80\n27 80\n69 80\n80 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n27 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"4\n8 7\n8 7\n7 8\n7 8\n",
"30\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n26 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 78\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"10\n68 42\n1 35\n25 70\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"15\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n",
"30\n100 99\n58 59\n56 57\n54 55\n52 53\n50 51\n48 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 10\n28 11\n72 7\n52 73\n",
"12\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n",
"30\n19 71\n7 89\n89 71\n21 7\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n5 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 8\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n53 59\n98 56\n61 65\n42 57\n9 7\n25 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"28\n31 66\n31 91\n91 31\n97 66\n31 66\n31 66\n66 91\n91 31\n97 31\n91 97\n97 31\n66 31\n66 97\n91 31\n31 66\n31 66\n66 31\n31 97\n66 97\n97 31\n31 91\n66 91\n91 66\n31 66\n91 66\n66 31\n66 31\n91 97\n",
"30\n46 100\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n76 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 17\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n44 17\n44 17\n",
"2\n46 6\n6 46\n",
"4\n1 2\n1 2\n2 1\n2 1\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n5 34\n36 39\n77 42\n64 97\n62 89\n16 56\n8 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"25\n2 1\n1 2\n1 2\n1 2\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n1 2\n2 1\n2 1\n2 1\n2 1\n1 2\n",
"7\n4 7\n52 55\n16 4\n55 4\n20 99\n3 4\n7 52\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n57 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 12\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 42\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n24 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n27 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"4\n8 3\n8 7\n7 8\n7 8\n",
"30\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 4\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"10\n68 42\n1 35\n25 100\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n56 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"12\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n3 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 3\n2 1\n",
"30\n22 71\n7 89\n89 71\n21 7\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n5 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"28\n31 66\n31 91\n91 31\n97 66\n31 66\n31 66\n66 91\n91 31\n97 31\n91 97\n97 29\n66 31\n66 97\n91 31\n31 66\n31 66\n66 31\n31 97\n66 97\n97 31\n31 91\n66 91\n91 66\n31 66\n91 66\n66 31\n66 31\n91 97\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n76 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n44 17\n44 17\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n5 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n37 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 12\n",
"30\n67 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n9 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"4\n100 48\n42 100\n5 42\n000 5\n",
"30\n61 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 144\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n17 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 76\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"30\n61 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n16 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n37 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 144\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n11 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n17 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 0\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 1\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 76\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"30\n61 21\n165 39\n85 87\n21 4\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n16 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n37 80\n80 27\n69 80\n27 69\n80 69\n69 80\n65 80\n27 80\n",
"30\n67 21\n165 39\n85 87\n21 39\n66 85\n10 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 78\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 7\n52 73\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n25 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"2\n46 6\n12 46\n",
"4\n1 2\n1 2\n2 1\n4 1\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n28 98\n83 78\n29 2\n",
"7\n4 7\n52 55\n16 4\n55 4\n22 99\n3 4\n7 52\n",
"2\n0 2\n1 2\n",
"4\n100 48\n42 100\n5 42\n100 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n10 3\n8 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n27 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 8\n52 73\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 3\n2 0\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n35 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"2\n75 6\n12 46\n",
"4\n0 2\n1 2\n2 1\n4 1\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n18 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"7\n4 7\n44 55\n16 4\n55 4\n22 99\n3 4\n7 52\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n8 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 72\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n5 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 30\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 8\n52 73\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n3 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n35 13\n15 47\n64 14\n12 77\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n35 15\n64 24\n36 72\n90 89\n42 69\n45 35\n",
"2\n75 6\n12 34\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n7 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 86\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 59\n",
"7\n4 7\n44 55\n16 4\n55 4\n22 99\n3 2\n7 52\n",
"4\n100 48\n42 100\n5 42\n001 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 45\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n9 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n2 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 72\n65 63\n46 6\n28 82\n92 63\n43 96\n37 28\n",
"30\n100 99\n58 59\n5 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 59\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 30\n72 35\n53 43\n96 55\n41 78\n75 12\n28 11\n72 8\n52 73\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n3 5\n2 8\n4 9\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n35 13\n15 47\n64 23\n12 77\n",
"2\n75 6\n12 15\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n14 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 86\n44 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 15\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 59\n",
"7\n4 7\n49 55\n16 4\n55 4\n22 99\n3 2\n7 52\n",
"4\n100 48\n42 100\n5 42\n011 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 142\n69 15\n98 31\n55 74\n15 56\n36 45\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n9 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 7\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n2 0\n7 8\n7 8\n"
],
"output": [
"0\n",
"5\n",
"1\n",
"59\n",
"96\n",
"10\n",
"100\n",
"74\n",
"277\n",
"8\n",
"450\n",
"73\n",
"1\n",
"108\n",
"0\n",
"0\n",
"72\n",
"10\n",
"154\n",
"20\n",
"6\n",
"210\n",
"4\n",
"418\n",
"2\n",
"8\n",
"8\n",
"1\n",
"6\n",
"312\n",
"6\n",
"95\n",
"10\n",
"68\n",
"268\n",
"6\n",
"435\n",
"1\n",
"0\n",
"66\n",
"9\n",
"148\n",
"20\n",
"201\n",
"4\n",
"407\n",
"8\n",
"5\n",
"88\n",
"92\n",
"259\n",
"67\n",
"145\n",
"17\n",
"7\n",
"396\n",
"2\n",
"3\n",
"91\n",
"250\n",
"65\n",
"139\n",
"378\n",
"86\n",
"241\n",
"63\n",
"133\n",
"360\n",
"85\n",
"230\n",
"95\n",
"68\n",
"0\n",
"6\n",
"1\n",
"6\n",
"1\n",
"6\n",
"0\n",
"4\n",
"10\n",
"68\n",
"4\n",
"1\n",
"1\n",
"0\n",
"4\n",
"5\n",
"0\n",
"4\n",
"8\n",
"5\n",
"5\n",
"9\n",
"67\n",
"4\n",
"1\n",
"1\n",
"0\n",
"17\n",
"7\n",
"5\n",
"0\n",
"8\n",
"2\n",
"5\n",
"4\n",
"3\n",
"9\n",
"66\n",
"2\n",
"1\n",
"1\n",
"0\n",
"20\n",
"7\n",
"0\n",
"8\n",
"2\n",
"5\n",
"4\n",
"3\n",
"9\n",
"63\n",
"0\n"
]
} | 2CODEFORCES
|
268_A. Games_383 | Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | #include <bits/stdc++.h>
using namespace std;
int main() {
int home[30];
int away[30];
int n;
cin >> n;
for (int i = 0; i < n; i++) {
cin >> home[i];
cin >> away[i];
}
int cnt = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (i == j) continue;
if (home[i] == away[j]) cnt++;
}
}
cout << cnt << '\n';
return 0;
}
| 2C++
| {
"input": [
"2\n1 2\n1 2\n",
"4\n100 42\n42 100\n5 42\n100 5\n",
"3\n1 2\n2 4\n3 4\n",
"24\n9 83\n90 31\n83 3\n83 3\n21 31\n83 3\n32 31\n12 21\n31 21\n90 32\n32 21\n12 9\n12 31\n9 83\n83 12\n32 3\n32 83\n90 31\n9 32\n31 21\n83 90\n32 21\n21 3\n32 9\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n57 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 6\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n57 74\n15 56\n36 37\n15 66\n63 100\n16 42\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"30\n67 21\n85 39\n85 87\n21 39\n66 85\n10 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"22\n78 92\n15 92\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n24 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"29\n80 27\n69 80\n27 80\n69 80\n80 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n27 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"4\n8 7\n8 7\n7 8\n7 8\n",
"30\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n26 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 78\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"10\n68 42\n1 35\n25 70\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"15\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n",
"30\n100 99\n58 59\n56 57\n54 55\n52 53\n50 51\n48 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 10\n28 11\n72 7\n52 73\n",
"12\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n",
"30\n19 71\n7 89\n89 71\n21 7\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n5 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 8\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n53 59\n98 56\n61 65\n42 57\n9 7\n25 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"28\n31 66\n31 91\n91 31\n97 66\n31 66\n31 66\n66 91\n91 31\n97 31\n91 97\n97 31\n66 31\n66 97\n91 31\n31 66\n31 66\n66 31\n31 97\n66 97\n97 31\n31 91\n66 91\n91 66\n31 66\n91 66\n66 31\n66 31\n91 97\n",
"30\n46 100\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n76 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 17\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n44 17\n44 17\n",
"2\n46 6\n6 46\n",
"4\n1 2\n1 2\n2 1\n2 1\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n5 34\n36 39\n77 42\n64 97\n62 89\n16 56\n8 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"25\n2 1\n1 2\n1 2\n1 2\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n1 2\n2 1\n2 1\n2 1\n2 1\n1 2\n",
"7\n4 7\n52 55\n16 4\n55 4\n20 99\n3 4\n7 52\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n57 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 12\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 42\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n24 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n27 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"4\n8 3\n8 7\n7 8\n7 8\n",
"30\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 4\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"10\n68 42\n1 35\n25 100\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n56 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"12\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n3 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 3\n2 1\n",
"30\n22 71\n7 89\n89 71\n21 7\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n5 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"28\n31 66\n31 91\n91 31\n97 66\n31 66\n31 66\n66 91\n91 31\n97 31\n91 97\n97 29\n66 31\n66 97\n91 31\n31 66\n31 66\n66 31\n31 97\n66 97\n97 31\n31 91\n66 91\n91 66\n31 66\n91 66\n66 31\n66 31\n91 97\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n76 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n44 17\n44 17\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n5 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n37 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 12\n",
"30\n67 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n9 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"4\n100 48\n42 100\n5 42\n000 5\n",
"30\n61 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 144\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n17 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 76\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"30\n61 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n16 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n37 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 144\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n11 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n17 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 0\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 1\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 76\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"30\n61 21\n165 39\n85 87\n21 4\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n16 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n37 80\n80 27\n69 80\n27 69\n80 69\n69 80\n65 80\n27 80\n",
"30\n67 21\n165 39\n85 87\n21 39\n66 85\n10 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 78\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 7\n52 73\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n25 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"2\n46 6\n12 46\n",
"4\n1 2\n1 2\n2 1\n4 1\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n28 98\n83 78\n29 2\n",
"7\n4 7\n52 55\n16 4\n55 4\n22 99\n3 4\n7 52\n",
"2\n0 2\n1 2\n",
"4\n100 48\n42 100\n5 42\n100 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n10 3\n8 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n27 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 8\n52 73\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 3\n2 0\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n35 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"2\n75 6\n12 46\n",
"4\n0 2\n1 2\n2 1\n4 1\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n18 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"7\n4 7\n44 55\n16 4\n55 4\n22 99\n3 4\n7 52\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n8 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 72\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n5 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 30\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 8\n52 73\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n3 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n35 13\n15 47\n64 14\n12 77\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n35 15\n64 24\n36 72\n90 89\n42 69\n45 35\n",
"2\n75 6\n12 34\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n7 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 86\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 59\n",
"7\n4 7\n44 55\n16 4\n55 4\n22 99\n3 2\n7 52\n",
"4\n100 48\n42 100\n5 42\n001 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 45\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n9 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n2 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 72\n65 63\n46 6\n28 82\n92 63\n43 96\n37 28\n",
"30\n100 99\n58 59\n5 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 59\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 30\n72 35\n53 43\n96 55\n41 78\n75 12\n28 11\n72 8\n52 73\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n3 5\n2 8\n4 9\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n35 13\n15 47\n64 23\n12 77\n",
"2\n75 6\n12 15\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n14 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 86\n44 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 15\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 59\n",
"7\n4 7\n49 55\n16 4\n55 4\n22 99\n3 2\n7 52\n",
"4\n100 48\n42 100\n5 42\n011 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 142\n69 15\n98 31\n55 74\n15 56\n36 45\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n9 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 7\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n2 0\n7 8\n7 8\n"
],
"output": [
"0\n",
"5\n",
"1\n",
"59\n",
"96\n",
"10\n",
"100\n",
"74\n",
"277\n",
"8\n",
"450\n",
"73\n",
"1\n",
"108\n",
"0\n",
"0\n",
"72\n",
"10\n",
"154\n",
"20\n",
"6\n",
"210\n",
"4\n",
"418\n",
"2\n",
"8\n",
"8\n",
"1\n",
"6\n",
"312\n",
"6\n",
"95\n",
"10\n",
"68\n",
"268\n",
"6\n",
"435\n",
"1\n",
"0\n",
"66\n",
"9\n",
"148\n",
"20\n",
"201\n",
"4\n",
"407\n",
"8\n",
"5\n",
"88\n",
"92\n",
"259\n",
"67\n",
"145\n",
"17\n",
"7\n",
"396\n",
"2\n",
"3\n",
"91\n",
"250\n",
"65\n",
"139\n",
"378\n",
"86\n",
"241\n",
"63\n",
"133\n",
"360\n",
"85\n",
"230\n",
"95\n",
"68\n",
"0\n",
"6\n",
"1\n",
"6\n",
"1\n",
"6\n",
"0\n",
"4\n",
"10\n",
"68\n",
"4\n",
"1\n",
"1\n",
"0\n",
"4\n",
"5\n",
"0\n",
"4\n",
"8\n",
"5\n",
"5\n",
"9\n",
"67\n",
"4\n",
"1\n",
"1\n",
"0\n",
"17\n",
"7\n",
"5\n",
"0\n",
"8\n",
"2\n",
"5\n",
"4\n",
"3\n",
"9\n",
"66\n",
"2\n",
"1\n",
"1\n",
"0\n",
"20\n",
"7\n",
"0\n",
"8\n",
"2\n",
"5\n",
"4\n",
"3\n",
"9\n",
"63\n",
"0\n"
]
} | 2CODEFORCES
|
268_A. Games_384 | Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | n=int(input())
mat=[]
for i in range(n):
mat.append(list(map(int, input().rstrip().split())))
b=0
for i in range (n):
for j in range (n):
if mat[i][0]==mat[j][1]:
b=b+1
print(b) | 3Python3
| {
"input": [
"2\n1 2\n1 2\n",
"4\n100 42\n42 100\n5 42\n100 5\n",
"3\n1 2\n2 4\n3 4\n",
"24\n9 83\n90 31\n83 3\n83 3\n21 31\n83 3\n32 31\n12 21\n31 21\n90 32\n32 21\n12 9\n12 31\n9 83\n83 12\n32 3\n32 83\n90 31\n9 32\n31 21\n83 90\n32 21\n21 3\n32 9\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n57 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 6\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n57 74\n15 56\n36 37\n15 66\n63 100\n16 42\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"30\n67 21\n85 39\n85 87\n21 39\n66 85\n10 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"22\n78 92\n15 92\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n24 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"29\n80 27\n69 80\n27 80\n69 80\n80 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n27 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"4\n8 7\n8 7\n7 8\n7 8\n",
"30\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n26 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 78\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"10\n68 42\n1 35\n25 70\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"15\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n",
"30\n100 99\n58 59\n56 57\n54 55\n52 53\n50 51\n48 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 10\n28 11\n72 7\n52 73\n",
"12\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n",
"30\n19 71\n7 89\n89 71\n21 7\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n5 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 8\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n53 59\n98 56\n61 65\n42 57\n9 7\n25 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"28\n31 66\n31 91\n91 31\n97 66\n31 66\n31 66\n66 91\n91 31\n97 31\n91 97\n97 31\n66 31\n66 97\n91 31\n31 66\n31 66\n66 31\n31 97\n66 97\n97 31\n31 91\n66 91\n91 66\n31 66\n91 66\n66 31\n66 31\n91 97\n",
"30\n46 100\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n76 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 17\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n44 17\n44 17\n",
"2\n46 6\n6 46\n",
"4\n1 2\n1 2\n2 1\n2 1\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n5 34\n36 39\n77 42\n64 97\n62 89\n16 56\n8 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"25\n2 1\n1 2\n1 2\n1 2\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n1 2\n2 1\n2 1\n2 1\n2 1\n1 2\n",
"7\n4 7\n52 55\n16 4\n55 4\n20 99\n3 4\n7 52\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n57 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 12\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 42\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n24 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n27 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"4\n8 3\n8 7\n7 8\n7 8\n",
"30\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 4\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"10\n68 42\n1 35\n25 100\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n56 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"12\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n3 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 3\n2 1\n",
"30\n22 71\n7 89\n89 71\n21 7\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n5 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"28\n31 66\n31 91\n91 31\n97 66\n31 66\n31 66\n66 91\n91 31\n97 31\n91 97\n97 29\n66 31\n66 97\n91 31\n31 66\n31 66\n66 31\n31 97\n66 97\n97 31\n31 91\n66 91\n91 66\n31 66\n91 66\n66 31\n66 31\n91 97\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n76 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n44 17\n44 17\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n5 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n37 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 12\n",
"30\n67 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n9 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"4\n100 48\n42 100\n5 42\n000 5\n",
"30\n61 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 144\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n17 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 76\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"30\n61 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n16 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n37 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 144\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n11 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n17 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 0\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 1\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 76\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"30\n61 21\n165 39\n85 87\n21 4\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n16 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n37 80\n80 27\n69 80\n27 69\n80 69\n69 80\n65 80\n27 80\n",
"30\n67 21\n165 39\n85 87\n21 39\n66 85\n10 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 78\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 7\n52 73\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n25 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"2\n46 6\n12 46\n",
"4\n1 2\n1 2\n2 1\n4 1\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n28 98\n83 78\n29 2\n",
"7\n4 7\n52 55\n16 4\n55 4\n22 99\n3 4\n7 52\n",
"2\n0 2\n1 2\n",
"4\n100 48\n42 100\n5 42\n100 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n10 3\n8 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n27 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 8\n52 73\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 3\n2 0\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n35 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"2\n75 6\n12 46\n",
"4\n0 2\n1 2\n2 1\n4 1\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n18 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"7\n4 7\n44 55\n16 4\n55 4\n22 99\n3 4\n7 52\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n8 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 72\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n5 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 30\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 8\n52 73\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n3 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n35 13\n15 47\n64 14\n12 77\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n35 15\n64 24\n36 72\n90 89\n42 69\n45 35\n",
"2\n75 6\n12 34\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n7 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 86\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 59\n",
"7\n4 7\n44 55\n16 4\n55 4\n22 99\n3 2\n7 52\n",
"4\n100 48\n42 100\n5 42\n001 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 45\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n9 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n2 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 72\n65 63\n46 6\n28 82\n92 63\n43 96\n37 28\n",
"30\n100 99\n58 59\n5 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 59\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 30\n72 35\n53 43\n96 55\n41 78\n75 12\n28 11\n72 8\n52 73\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n3 5\n2 8\n4 9\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n35 13\n15 47\n64 23\n12 77\n",
"2\n75 6\n12 15\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n14 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 86\n44 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 15\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 59\n",
"7\n4 7\n49 55\n16 4\n55 4\n22 99\n3 2\n7 52\n",
"4\n100 48\n42 100\n5 42\n011 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 142\n69 15\n98 31\n55 74\n15 56\n36 45\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n9 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 7\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n2 0\n7 8\n7 8\n"
],
"output": [
"0\n",
"5\n",
"1\n",
"59\n",
"96\n",
"10\n",
"100\n",
"74\n",
"277\n",
"8\n",
"450\n",
"73\n",
"1\n",
"108\n",
"0\n",
"0\n",
"72\n",
"10\n",
"154\n",
"20\n",
"6\n",
"210\n",
"4\n",
"418\n",
"2\n",
"8\n",
"8\n",
"1\n",
"6\n",
"312\n",
"6\n",
"95\n",
"10\n",
"68\n",
"268\n",
"6\n",
"435\n",
"1\n",
"0\n",
"66\n",
"9\n",
"148\n",
"20\n",
"201\n",
"4\n",
"407\n",
"8\n",
"5\n",
"88\n",
"92\n",
"259\n",
"67\n",
"145\n",
"17\n",
"7\n",
"396\n",
"2\n",
"3\n",
"91\n",
"250\n",
"65\n",
"139\n",
"378\n",
"86\n",
"241\n",
"63\n",
"133\n",
"360\n",
"85\n",
"230\n",
"95\n",
"68\n",
"0\n",
"6\n",
"1\n",
"6\n",
"1\n",
"6\n",
"0\n",
"4\n",
"10\n",
"68\n",
"4\n",
"1\n",
"1\n",
"0\n",
"4\n",
"5\n",
"0\n",
"4\n",
"8\n",
"5\n",
"5\n",
"9\n",
"67\n",
"4\n",
"1\n",
"1\n",
"0\n",
"17\n",
"7\n",
"5\n",
"0\n",
"8\n",
"2\n",
"5\n",
"4\n",
"3\n",
"9\n",
"66\n",
"2\n",
"1\n",
"1\n",
"0\n",
"20\n",
"7\n",
"0\n",
"8\n",
"2\n",
"5\n",
"4\n",
"3\n",
"9\n",
"63\n",
"0\n"
]
} | 2CODEFORCES
|
268_A. Games_385 | Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | import java.util.HashMap;
import java.util.Scanner;
public class A {
public static void main(String[] args) {
HashMap<Integer, Integer> setH = new HashMap<Integer, Integer>();
HashMap<Integer, Integer> setA = new HashMap<Integer, Integer>();
Scanner s = new Scanner(System.in);
int n = s.nextInt();
for (int i = 0; i < n; i++) {
int h = s.nextInt();
int a = s.nextInt();
if (!setH.containsKey(h)) {
setH.put(h, 1);
} else {
setH.put(h, setH.get(h) + 1);
}
if (!setA.containsKey(a)) {
setA.put(a, 1);
} else {
setA.put(a, setA.get(a) + 1);
}
}
int ans = 0;
for (Integer i : setH.keySet()) {
if (setA.containsKey(i)) {
ans += setH.get(i) * setA.get(i);
}
}
System.out.println(ans);
}
}
| 4JAVA
| {
"input": [
"2\n1 2\n1 2\n",
"4\n100 42\n42 100\n5 42\n100 5\n",
"3\n1 2\n2 4\n3 4\n",
"24\n9 83\n90 31\n83 3\n83 3\n21 31\n83 3\n32 31\n12 21\n31 21\n90 32\n32 21\n12 9\n12 31\n9 83\n83 12\n32 3\n32 83\n90 31\n9 32\n31 21\n83 90\n32 21\n21 3\n32 9\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n57 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 6\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n57 74\n15 56\n36 37\n15 66\n63 100\n16 42\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"30\n67 21\n85 39\n85 87\n21 39\n66 85\n10 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"22\n78 92\n15 92\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n24 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"29\n80 27\n69 80\n27 80\n69 80\n80 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n27 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"4\n8 7\n8 7\n7 8\n7 8\n",
"30\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n26 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 78\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"10\n68 42\n1 35\n25 70\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"15\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n",
"30\n100 99\n58 59\n56 57\n54 55\n52 53\n50 51\n48 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 10\n28 11\n72 7\n52 73\n",
"12\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n",
"30\n19 71\n7 89\n89 71\n21 7\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n5 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 8\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n53 59\n98 56\n61 65\n42 57\n9 7\n25 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"28\n31 66\n31 91\n91 31\n97 66\n31 66\n31 66\n66 91\n91 31\n97 31\n91 97\n97 31\n66 31\n66 97\n91 31\n31 66\n31 66\n66 31\n31 97\n66 97\n97 31\n31 91\n66 91\n91 66\n31 66\n91 66\n66 31\n66 31\n91 97\n",
"30\n46 100\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n76 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 17\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n44 17\n44 17\n",
"2\n46 6\n6 46\n",
"4\n1 2\n1 2\n2 1\n2 1\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n5 34\n36 39\n77 42\n64 97\n62 89\n16 56\n8 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"25\n2 1\n1 2\n1 2\n1 2\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n1 2\n1 2\n2 1\n2 1\n2 1\n1 2\n2 1\n1 2\n2 1\n2 1\n2 1\n2 1\n1 2\n",
"7\n4 7\n52 55\n16 4\n55 4\n20 99\n3 4\n7 52\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n57 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 12\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 42\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n24 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n27 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"4\n8 3\n8 7\n7 8\n7 8\n",
"30\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 4\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"10\n68 42\n1 35\n25 100\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n56 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"12\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n3 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 3\n2 1\n",
"30\n22 71\n7 89\n89 71\n21 7\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n5 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"28\n31 66\n31 91\n91 31\n97 66\n31 66\n31 66\n66 91\n91 31\n97 31\n91 97\n97 29\n66 31\n66 97\n91 31\n31 66\n31 66\n66 31\n31 97\n66 97\n97 31\n31 91\n66 91\n91 66\n31 66\n91 66\n66 31\n66 31\n91 97\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n76 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n44 17\n44 17\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n5 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"25\n91 57\n2 73\n54 57\n2 57\n23 57\n2 6\n57 54\n57 23\n91 54\n91 23\n37 23\n91 57\n54 2\n6 91\n57 54\n2 57\n57 91\n73 91\n57 23\n91 57\n2 73\n91 2\n23 6\n2 73\n23 12\n",
"30\n67 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n27 69\n80 69\n80 27\n69 27\n9 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n19 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n10 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 44\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"4\n100 48\n42 100\n5 42\n000 5\n",
"30\n61 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n27 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 144\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n17 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 7\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 76\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"30\n61 21\n165 39\n85 87\n21 39\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n16 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n37 80\n80 27\n69 80\n27 69\n80 69\n69 80\n69 80\n27 80\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 144\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 22\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n11 50\n43 78\n",
"30\n22 71\n7 89\n89 71\n21 8\n19 21\n7 89\n19 71\n89 8\n89 21\n17 8\n21 7\n8 89\n19 89\n7 21\n19 8\n19 7\n7 19\n8 21\n71 21\n71 89\n7 19\n7 19\n21 0\n21 19\n21 19\n71 8\n21 8\n71 19\n19 71\n8 21\n",
"30\n44 17\n44 17\n44 17\n17 44\n44 17\n44 17\n17 44\n17 44\n17 1\n44 17\n44 17\n44 17\n44 17\n44 17\n17 44\n17 44\n17 44\n44 17\n44 17\n17 44\n44 17\n44 31\n44 17\n17 44\n17 76\n44 17\n17 44\n44 17\n3 17\n44 17\n",
"30\n61 21\n165 39\n85 87\n21 4\n66 85\n15 95\n10 21\n87 85\n82 21\n67 21\n95 10\n16 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n80 27\n69 80\n27 80\n69 80\n85 27\n80 27\n80 27\n80 69\n27 69\n80 69\n80 27\n27 69\n69 27\n80 69\n27 69\n69 80\n34 69\n80 69\n80 27\n69 27\n9 69\n37 80\n80 27\n69 80\n27 69\n80 69\n69 80\n65 80\n27 80\n",
"30\n67 21\n165 39\n85 87\n21 39\n66 85\n10 95\n10 21\n87 85\n82 21\n67 21\n95 10\n21 39\n82 21\n21 66\n66 39\n95 30\n67 85\n66 82\n85 82\n21 66\n10 39\n67 10\n21 85\n10 82\n85 95\n10 85\n21 39\n85 39\n39 10\n95 67\n",
"29\n78 27\n50 68\n24 26\n68 43\n38 78\n22 38\n78 28\n28 26\n27 24\n23 38\n24 26\n24 43\n61 50\n38 78\n27 23\n61 26\n27 28\n43 23\n28 78\n43 27\n43 78\n27 61\n28 38\n61 78\n50 26\n43 27\n26 78\n28 50\n43 78\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 7\n52 73\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n25 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n27 13\n15 47\n64 14\n12 77\n",
"2\n46 6\n12 46\n",
"4\n1 2\n1 2\n2 1\n4 1\n",
"18\n6 90\n70 79\n26 52\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n28 98\n83 78\n29 2\n",
"7\n4 7\n52 55\n16 4\n55 4\n22 99\n3 4\n7 52\n",
"2\n0 2\n1 2\n",
"4\n100 48\n42 100\n5 42\n100 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 69\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n15 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n10 3\n8 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 79\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n27 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 59\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 8\n52 73\n",
"6\n1 2\n1 2\n1 2\n1 2\n1 3\n2 0\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n35 15\n64 15\n36 72\n90 89\n42 69\n45 35\n",
"2\n75 6\n12 46\n",
"4\n0 2\n1 2\n2 1\n4 1\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n18 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 33\n",
"7\n4 7\n44 55\n16 4\n55 4\n22 99\n3 4\n7 52\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 37\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n15 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n8 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 72\n65 63\n46 6\n28 82\n92 62\n43 96\n37 28\n",
"30\n100 99\n58 59\n5 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 41\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 30\n72 35\n53 43\n96 55\n41 78\n75 9\n28 11\n72 8\n52 73\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n3 5\n2 8\n4 5\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n35 13\n15 47\n64 14\n12 77\n",
"30\n46 000\n87 53\n34 84\n44 66\n23 20\n50 34\n90 66\n17 39\n13 22\n94 33\n92 46\n63 78\n26 48\n44 61\n3 19\n41 84\n62 31\n65 89\n23 28\n58 57\n19 85\n26 60\n75 66\n69 67\n35 15\n64 24\n36 72\n90 89\n42 69\n45 35\n",
"2\n75 6\n12 34\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n7 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 86\n67 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 34\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 59\n",
"7\n4 7\n44 55\n16 4\n55 4\n22 99\n3 2\n7 52\n",
"4\n100 48\n42 100\n5 42\n001 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 72\n69 15\n98 31\n55 74\n15 56\n36 45\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n9 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 80\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n2 7\n7 8\n7 8\n",
"10\n68 33\n1 35\n25 100\n59 72\n65 63\n46 6\n28 82\n92 63\n43 96\n37 28\n",
"30\n100 99\n58 59\n5 57\n54 55\n52 53\n50 51\n8 49\n46 47\n44 45\n42 43\n40 59\n38 39\n36 37\n34 35\n32 33\n30 31\n28 29\n26 27\n24 25\n22 23\n20 21\n18 19\n16 17\n14 15\n12 13\n10 11\n8 9\n6 7\n4 5\n2 3\n",
"13\n76 58\n32 85\n99 79\n23 58\n96 30\n72 35\n53 43\n96 55\n41 78\n75 12\n28 11\n72 8\n52 73\n",
"15\n9 3\n2 6\n7 6\n2 10\n9 5\n8 1\n3 5\n2 8\n4 9\n9 2\n5 3\n3 8\n9 8\n4 10\n8 5\n",
"30\n10 39\n89 1\n78 58\n75 99\n36 13\n77 50\n6 97\n79 28\n27 52\n56 5\n93 96\n40 21\n33 74\n26 37\n17 59\n98 56\n61 65\n42 57\n9 7\n37 63\n74 34\n96 84\n95 47\n12 23\n34 21\n71 6\n35 13\n15 47\n64 23\n12 77\n",
"2\n75 6\n12 15\n",
"18\n6 90\n100 79\n26 100\n67 100\n29 100\n100 45\n94 88\n14 58\n59 53\n51 56\n64 68\n34 2\n6 98\n95 82\n34 2\n40 98\n83 78\n29 100\n",
"18\n6 90\n70 79\n26 86\n44 81\n29 95\n41 32\n94 88\n18 58\n59 65\n51 56\n64 68\n34 2\n6 98\n95 28\n34 2\n28 98\n83 78\n29 2\n",
"23\n43 78\n31 28\n58 80\n66 63\n20 4\n51 95\n40 20\n50 14\n0 15\n36 39\n77 42\n64 97\n62 89\n16 56\n5 34\n58 16\n37 35\n37 66\n8 54\n50 36\n24 8\n68 48\n85 59\n",
"7\n4 7\n49 55\n16 4\n55 4\n22 99\n3 2\n7 52\n",
"4\n100 48\n42 100\n5 42\n011 5\n",
"29\n8 18\n33 75\n69 22\n97 95\n1 97\n78 10\n88 18\n13 3\n19 64\n98 12\n79 92\n41 142\n69 15\n98 31\n55 74\n15 56\n36 45\n15 66\n63 100\n16 10\n47 56\n6 4\n73 15\n30 24\n27 71\n12 19\n88 6\n85 6\n50 11\n",
"22\n78 92\n9 59\n92 78\n78 80\n92 16\n24 80\n92 16\n16 92\n78 16\n24 78\n80 78\n92 7\n16 80\n80 78\n13 78\n92 16\n45 15\n24 80\n80 16\n16 80\n92 80\n24 80\n",
"4\n2 3\n2 0\n7 8\n7 8\n"
],
"output": [
"0\n",
"5\n",
"1\n",
"59\n",
"96\n",
"10\n",
"100\n",
"74\n",
"277\n",
"8\n",
"450\n",
"73\n",
"1\n",
"108\n",
"0\n",
"0\n",
"72\n",
"10\n",
"154\n",
"20\n",
"6\n",
"210\n",
"4\n",
"418\n",
"2\n",
"8\n",
"8\n",
"1\n",
"6\n",
"312\n",
"6\n",
"95\n",
"10\n",
"68\n",
"268\n",
"6\n",
"435\n",
"1\n",
"0\n",
"66\n",
"9\n",
"148\n",
"20\n",
"201\n",
"4\n",
"407\n",
"8\n",
"5\n",
"88\n",
"92\n",
"259\n",
"67\n",
"145\n",
"17\n",
"7\n",
"396\n",
"2\n",
"3\n",
"91\n",
"250\n",
"65\n",
"139\n",
"378\n",
"86\n",
"241\n",
"63\n",
"133\n",
"360\n",
"85\n",
"230\n",
"95\n",
"68\n",
"0\n",
"6\n",
"1\n",
"6\n",
"1\n",
"6\n",
"0\n",
"4\n",
"10\n",
"68\n",
"4\n",
"1\n",
"1\n",
"0\n",
"4\n",
"5\n",
"0\n",
"4\n",
"8\n",
"5\n",
"5\n",
"9\n",
"67\n",
"4\n",
"1\n",
"1\n",
"0\n",
"17\n",
"7\n",
"5\n",
"0\n",
"8\n",
"2\n",
"5\n",
"4\n",
"3\n",
"9\n",
"66\n",
"2\n",
"1\n",
"1\n",
"0\n",
"20\n",
"7\n",
"0\n",
"8\n",
"2\n",
"5\n",
"4\n",
"3\n",
"9\n",
"63\n",
"0\n"
]
} | 2CODEFORCES
|
290_D. Orange_386 | <image>
Input
The first line of the input is a string (between 1 and 50 characters long, inclusive). Each character will be a letter of English alphabet, lowercase or uppercase.
The second line of the input is an integer between 0 and 26, inclusive.
Output
Output the required string.
Examples
Input
AprilFool
14
Output
AprILFooL | s = raw_input().lower()
n = int(raw_input())
print ''.join([(c.upper()if ord(c)<n+97 else c) for c in s]) | 1Python2
| {
"input": [
"AprilFool\n14\n",
"qH\n2\n",
"nifzlTLaeWxTD\n0\n",
"WlwbRjvrOZakKXqecEdlrCnmvXQtLKBsy\n5\n",
"LiqWMLEULRhW\n1\n",
"kGqopTbelcDUcoZgnnRYXgPCRQwSLoqeIByFWDI\n26\n",
"DuFhhnq\n4\n",
"aaaaAaaaaaaAAaaAaaAaAaaaAaaaaaAAaaAAAAAaaAaAAAAaAA\n4\n",
"VtQISIHREYaEGPustEkzJRN\n20\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n2\n",
"uehLuNwrjO\n0\n",
"MDJivQRiOIVRcCdkSuUlNbMEOkIVJRMTAnHbkVaOmOblLfignh\n25\n",
"isfvbcBEEPaXUDhbVhwddjEutVQqNdlimIKjUnajDQ\n2\n",
"BCABcbacbcbAAACCabbaccAabAAaaCCBcBAcCcbaABCCAcCb\n4\n",
"IOJRIQefPFxpUj\n18\n",
"RvpuYTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n22\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n0\n",
"cdccAAaBBAADdaCDBbDcaDDabdadAbBccCCCDDBADDcdAdC\n4\n",
"R\n26\n",
"sPWSFWWqZBPon\n3\n",
"abcdefabc\n3\n",
"SICNEaKsjCnvOEcVqFHLIC\n16\n",
"abczxy\n0\n",
"sm\n26\n",
"fBUycJpfGhsfIVnXAovyoDyndkhv\n9\n",
"TtQEIg\n24\n",
"vPuebwksPlxuevRLuWcACTBBgVnmcAUsQUficgEAhoEm\n9\n",
"GnlFOqPeZtPiBkvvLhaDvGPgFqBTnLgMT\n12\n",
"Ik\n3\n",
"VWOibsVSFkxPCmyZLWIOxFbfXdlsNzxVcUVf\n8\n",
"gfSAltDEjuPqEsOFuiTpcUpCOiENCLbHHnCgvCQtW\n13\n",
"fgWjSAlPOvcAbCdDEFjz\n7\n",
"pFgLGSkFnGpNKALeDPGlciUNTTlCtAPlFhaIRutCFaFo\n24\n",
"cefEDAbedffbaCcEDfEeCEaAcCeFCcEabEecdEdcaFFde\n4\n",
"WHbBHzhSNkCZOAOwiKdu\n17\n",
"RtsUOGkraqKyjTktAXloOEmQj\n18\n",
"LdsmfiNFkPfJgRxytsSJMQZnDTZZ\n11\n",
"xedzyPU\n13\n",
"bBbAbbbbaaAAAaabbBbaaabBaaaBaBbAaBabaAAAaaaaBabbb\n4\n",
"HXyXuYceFtVUMyLqi\n21\n",
"tAjlldiqGZUayJZHFQHFJVRukaIKepPVucrkyPtMrhIXoxZbw\n12\n",
"EcCEECdCEBaaeCBEBbAaCAeEdeCEedCAdDeEbcACdCcCCd\n4\n",
"hQfrRArEPuVAQGfcSuoVKBKvY\n22\n",
"jWBVk\n17\n",
"pH\n2\n",
"nifzlTLTeWxaD\n0\n",
"ysBKLtQXvmnCrldEceqXKkaZOrvjRbwlW\n5\n",
"LiqWMLEVLRhW\n1\n",
"IDWFyBIeqoLSwQRCPgXYRnngZocUDclebTpoqGk\n26\n",
"DuFhhnq\n1\n",
"aaaaAaaaaaaAAaaAaaAaAaaaAaaaaaAAaaAAAAAaaAaAAAAaAA\n6\n",
"NRJzkEtsuPGEaYERHISIQtV\n20\n",
"OjrwNuLheu\n0\n",
"QDjanUjKImildNqQVtuEjddwhVbhDUXaPEEBcbvfsi\n2\n",
"bCcACCBAabcCcABcBCCaaAAbaAccabbaCCAAAbcbcabcBACB\n4\n",
"jUpxFPfeQIRJOI\n18\n",
"RvpuYTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n4\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n1\n",
"cdccAAaBBAADdaCDBbDcaDDabdadAbBccCCCDCBADDcdAdC\n4\n",
"R\n24\n",
"noPBZqWWFSWPs\n3\n",
"abedcfabc\n3\n",
"abczxy\n1\n",
"ms\n26\n",
"fBUycJpfGhsgIVnXAovyoDyndkhv\n9\n",
"gIEQtT\n24\n",
"vPuebwksPlxuevRLuWcACTBBgVnmcAUsQUficgEAhoEm\n2\n",
"GnlFOqPeZtPiBgvvLhaDvGPkFqBTnLgMT\n12\n",
"kI\n3\n",
"VWOibsVSFkxPCmyZLWIOxFbfXdlsNzxVcUVf\n0\n",
"WtQCvgCnHHbLCNEiOCpUcpTiuFOsEqPujEDtlASfg\n13\n",
"fgWjSAlPOvcAbCdDEFjz\n5\n",
"cefEDAbedffbaCcEDfEeCEaAcCeFCcEabEecdEdcaFFde\n0\n",
"WHOBHzhSNkCZbAOwiKdu\n17\n",
"jQmEOolXAtkTjyKqarkGOUstR\n18\n",
"ZZTDnZQMJSstyxRgJfPkFNifmsdL\n11\n",
"xedzyPT\n13\n",
"bBbAbbbbaaAAAaabbBbaaabBaaaAaBbAaBabaAAAaaaaBabbb\n4\n",
"HXyXuYceFtVUMyLqi\n25\n",
"tAjlldiqGZUayJZHFQHFJVRukaIKepPVucrkyPtMrhIXoxZbw\n1\n",
"EcCEECdCEBaaeCBEBbAaCAeEdeCEedCAdDeEbcACdCcCCd\n3\n",
"jWBVk\n12\n",
"AprilFool\n6\n",
"nifzlTLTeWxaD\n1\n",
"ysBKLtQXvmnCrldEceqXKkaZOrvjRbwlW\n3\n",
"IDWFyBIeqoLSwQRCPgXYRnngZocUDclebTpoqGk\n4\n",
"DuFhinq\n1\n",
"NRJzkYtsuPGEaEERHISIQtV\n20\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n0\n",
"uehLuNvrjO\n0\n",
"QDjanUjKImildNqQVtuEjddwhVbhDUXaPEEBcbvfsi\n4\n",
"BCAccbacbcbAAACCabbaccAabAAaaCCBBBAcCcbaABCCAcCb\n4\n",
"jUpxPFfeQIRJOI\n18\n",
"RvpuZTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n4\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n2\n",
"ZoPBnqWWFSWPs\n3\n",
"abedcfabc\n6\n",
"sl\n26\n",
"fBUycJpgGhsgIVnXAovyoDyndkhv\n9\n",
"tIEQgT\n24\n",
"vPuebwksPlxuevQLuWcACTBBgVnmcAUsQUficgEAhoEm\n2\n",
"GnlFOqPeZtPiBgvvLhaDvGPkGqBTnLgMT\n12\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n1\n",
"pH\n4\n",
"LiqWMLEVLRhW\n2\n",
"AAaAAAAaAaaAAAAAaaAAaaaaaAaaaAaAaaAaaAAaaaaaaAaaaa\n6\n",
"cdccAAaBBAADdaCDBbDCaDDabdadAbBccCCcDCBADDcdAdC\n4\n"
],
"output": [
"AprILFooL",
"qh",
"nifzltlaewxtd",
"wlwBrjvrozAkkxqECEDlrCnmvxqtlkBsy",
"liqwmleulrhw",
"KGQOPTBELCDUCOZGNNRYXGPCRQWSLOQEIBYFWDI",
"Dufhhnq",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA",
"vTQISIHREyAEGPuSTEKzJRN",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA",
"uehlunwrjo",
"MDJIVQRIOIVRCCDKSUULNBMEOKIVJRMTANHBKVAOMOBLLFIGNH",
"isfvBcBeepAxudhBvhwddjeutvqqndlimikjunAjdq",
"BCABCBACBCBAAACCABBACCAABAAAACCBCBACCCBAABCCACCB",
"IOJRIQEFPFxPuJ",
"RVPUyTxSBDIJDOLAURLFATCFwVTNDzKyAEwGRz",
"fqhhxcdeaintxhwcfcasgwfvqnymebymlsnkumifgnjb",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDDBADDCDADC",
"R",
"spwsfwwqzBpon",
"ABCdefABC",
"sICNEAKsJCNvOECvqFHLIC",
"abczxy",
"SM",
"FBuyCjpFGHsFIvnxAovyoDynDkHv",
"TTQEIG",
"vpuEBwksplxuEvrluwCACtBBGvnmCAusquFICGEAHoEm",
"GnLFoqpEztpIBKvvLHADvGpGFqBtnLGmt",
"ik",
"vwoiBsvsFkxpCmyzlwioxFBFxDlsnzxvCuvF",
"GFsALtDEJupqEsoFuItpCupCoIEnCLBHHnCGvCqtw",
"FGwjsAlpovCABCDDEFjz",
"PFGLGSKFNGPNKALEDPGLCIUNTTLCTAPLFHAIRUTCFAFO",
"CefeDABeDffBACCeDfeeCeAACCefCCeABeeCDeDCAffDe",
"wHBBHzHsNKCzOAOwIKDu",
"RtsuOGKRAQKyJtKtAxLOOEMQJ",
"lDsmFInFKpFJGrxytssJmqznDtzz",
"xEDzypu",
"BBBABBBBAAAAAAABBBBAAABBAAABABBAABABAAAAAAAABABBB",
"HxyxUyCEFTvUMyLQI",
"tAJLLDIqGzuAyJzHFqHFJvruKAIKEppvuCrKyptmrHIxoxzBw",
"eCCeeCDCeBAAeCBeBBAACAeeDeCeeDCADDeeBCACDCCCCD",
"HQFRRAREPUVAQGFCSUOVKBKVy",
"JwBvK",
"ph\n",
"nifzltltewxad\n",
"ysBkltqxvmnCrlDECEqxkkAzorvjrBwlw\n",
"liqwmlevlrhw\n",
"IDWFYBIEQOLSWQRCPGXYRNNGZOCUDCLEBTPOQGK\n",
"dufhhnq\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"NRJzKETSuPGEAyERHISIQTv\n",
"ojrwnulheu\n",
"qdjAnujkimildnqqvtuejddwhvBhduxApeeBcBvfsi\n",
"BCCACCBAABCCCABCBCCAAAABAACCABBACCAAABCBCABCBACB\n",
"JuPxFPFEQIRJOI\n",
"rvpuytxsBDijDolAurlfAtCfwvtnDzkyAewgrz\n",
"fqhhxcdeAintxhwcfcAsgwfvqnymebymlsnkumifgnjb\n",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDCBADDCDADC\n",
"R\n",
"nopBzqwwfswps\n",
"ABedCfABC\n",
"Abczxy\n",
"MS\n",
"FBuyCjpFGHsGIvnxAovyoDynDkHv\n",
"GIEQTT\n",
"vpueBwksplxuevrluwcActBBgvnmcAusquficgeAhoem\n",
"GnLFoqpEztpIBGvvLHADvGpKFqBtnLGmt\n",
"ki\n",
"vwoibsvsfkxpcmyzlwioxfbfxdlsnzxvcuvf\n",
"wtqCvGCnHHBLCnEIoCpuCptIuFosEqpuJEDtLAsFG\n",
"fgwjsAlpovCABCDDEfjz\n",
"cefedabedffbaccedfeeceaaccefcceabeecdedcaffde\n",
"wHOBHzHsNKCzBAOwIKDu\n",
"JQMEOOLxAtKtJyKQARKGOustR\n",
"zztDnzqmJsstyxrGJFpKFnIFmsDl\n",
"xEDzypt\n",
"BBBABBBBAAAAAAABBBBAAABBAAAAABBAABABAAAAAAAABABBB\n",
"HXYXUYCEFTVUMYLQI\n",
"tAjlldiqgzuAyjzhfqhfjvrukAikeppvucrkyptmrhixoxzbw\n",
"eCCeeCdCeBAAeCBeBBAACAeedeCeedCAddeeBCACdCCCCd\n",
"JwBvK\n",
"AprilFool\n",
"nifzltltewxAd\n",
"ysBkltqxvmnCrldeCeqxkkAzorvjrBwlw\n",
"iDwfyBieqolswqrCpgxyrnngzoCuDCleBtpoqgk\n",
"dufhinq\n",
"NRJzKyTSuPGEAEERHISIQTv\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"uehlunvrjo\n",
"qDjAnujkimilDnqqvtuejDDwhvBhDuxApeeBCBvfsi\n",
"BCACCBACBCBAAACCABBACCAABAAAACCBBBACCCBAABCCACCB\n",
"JuPxPFFEQIRJOI\n",
"rvpuztxsBDijDolAurlfAtCfwvtnDzkyAewgrz\n",
"fqhhxcdeAintxhwcfcAsgwfvqnymeBymlsnkumifgnjB\n",
"zopBnqwwfswps\n",
"ABEDCFABC\n",
"SL\n",
"FBuyCjpGGHsGIvnxAovyoDynDkHv\n",
"TIEQGT\n",
"vpueBwksplxuevqluwcActBBgvnmcAusquficgeAhoem\n",
"GnLFoqpEztpIBGvvLHADvGpKGqBtnLGmt\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"ph\n",
"liqwmlevlrhw\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDCBADDCDADC\n"
]
} | 2CODEFORCES
|
290_D. Orange_387 | <image>
Input
The first line of the input is a string (between 1 and 50 characters long, inclusive). Each character will be a letter of English alphabet, lowercase or uppercase.
The second line of the input is an integer between 0 and 26, inclusive.
Output
Output the required string.
Examples
Input
AprilFool
14
Output
AprILFooL | #include <bits/stdc++.h>
using namespace std;
template <typename T>
int size(T& a) {
return (int)a.size();
}
template <typename T>
T sqr(T a) {
return a * a;
}
bool isLowercase(char ch) { return ch >= 'a' && ch <= 'z'; }
bool isUppercase(char ch) { return !isLowercase(ch); }
char toLowercase(char ch) {
if (isUppercase(ch)) {
ch = ch - 'A' + 'a';
}
return ch;
}
char toUppercase(char ch) {
if (isLowercase(ch)) {
ch = ch - 'a' + 'A';
}
return ch;
}
int main() {
string s;
int n;
cin >> s >> n;
for (int i = (0); i < (size(s)); ++i) {
s[i] = toLowercase(s[i]);
}
for (int i = (0); i < (size(s)); ++i) {
if (int(s[i]) < n + 97) {
s[i] = toUppercase(s[i]);
}
}
cout << s << endl;
}
| 2C++
| {
"input": [
"AprilFool\n14\n",
"qH\n2\n",
"nifzlTLaeWxTD\n0\n",
"WlwbRjvrOZakKXqecEdlrCnmvXQtLKBsy\n5\n",
"LiqWMLEULRhW\n1\n",
"kGqopTbelcDUcoZgnnRYXgPCRQwSLoqeIByFWDI\n26\n",
"DuFhhnq\n4\n",
"aaaaAaaaaaaAAaaAaaAaAaaaAaaaaaAAaaAAAAAaaAaAAAAaAA\n4\n",
"VtQISIHREYaEGPustEkzJRN\n20\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n2\n",
"uehLuNwrjO\n0\n",
"MDJivQRiOIVRcCdkSuUlNbMEOkIVJRMTAnHbkVaOmOblLfignh\n25\n",
"isfvbcBEEPaXUDhbVhwddjEutVQqNdlimIKjUnajDQ\n2\n",
"BCABcbacbcbAAACCabbaccAabAAaaCCBcBAcCcbaABCCAcCb\n4\n",
"IOJRIQefPFxpUj\n18\n",
"RvpuYTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n22\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n0\n",
"cdccAAaBBAADdaCDBbDcaDDabdadAbBccCCCDDBADDcdAdC\n4\n",
"R\n26\n",
"sPWSFWWqZBPon\n3\n",
"abcdefabc\n3\n",
"SICNEaKsjCnvOEcVqFHLIC\n16\n",
"abczxy\n0\n",
"sm\n26\n",
"fBUycJpfGhsfIVnXAovyoDyndkhv\n9\n",
"TtQEIg\n24\n",
"vPuebwksPlxuevRLuWcACTBBgVnmcAUsQUficgEAhoEm\n9\n",
"GnlFOqPeZtPiBkvvLhaDvGPgFqBTnLgMT\n12\n",
"Ik\n3\n",
"VWOibsVSFkxPCmyZLWIOxFbfXdlsNzxVcUVf\n8\n",
"gfSAltDEjuPqEsOFuiTpcUpCOiENCLbHHnCgvCQtW\n13\n",
"fgWjSAlPOvcAbCdDEFjz\n7\n",
"pFgLGSkFnGpNKALeDPGlciUNTTlCtAPlFhaIRutCFaFo\n24\n",
"cefEDAbedffbaCcEDfEeCEaAcCeFCcEabEecdEdcaFFde\n4\n",
"WHbBHzhSNkCZOAOwiKdu\n17\n",
"RtsUOGkraqKyjTktAXloOEmQj\n18\n",
"LdsmfiNFkPfJgRxytsSJMQZnDTZZ\n11\n",
"xedzyPU\n13\n",
"bBbAbbbbaaAAAaabbBbaaabBaaaBaBbAaBabaAAAaaaaBabbb\n4\n",
"HXyXuYceFtVUMyLqi\n21\n",
"tAjlldiqGZUayJZHFQHFJVRukaIKepPVucrkyPtMrhIXoxZbw\n12\n",
"EcCEECdCEBaaeCBEBbAaCAeEdeCEedCAdDeEbcACdCcCCd\n4\n",
"hQfrRArEPuVAQGfcSuoVKBKvY\n22\n",
"jWBVk\n17\n",
"pH\n2\n",
"nifzlTLTeWxaD\n0\n",
"ysBKLtQXvmnCrldEceqXKkaZOrvjRbwlW\n5\n",
"LiqWMLEVLRhW\n1\n",
"IDWFyBIeqoLSwQRCPgXYRnngZocUDclebTpoqGk\n26\n",
"DuFhhnq\n1\n",
"aaaaAaaaaaaAAaaAaaAaAaaaAaaaaaAAaaAAAAAaaAaAAAAaAA\n6\n",
"NRJzkEtsuPGEaYERHISIQtV\n20\n",
"OjrwNuLheu\n0\n",
"QDjanUjKImildNqQVtuEjddwhVbhDUXaPEEBcbvfsi\n2\n",
"bCcACCBAabcCcABcBCCaaAAbaAccabbaCCAAAbcbcabcBACB\n4\n",
"jUpxFPfeQIRJOI\n18\n",
"RvpuYTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n4\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n1\n",
"cdccAAaBBAADdaCDBbDcaDDabdadAbBccCCCDCBADDcdAdC\n4\n",
"R\n24\n",
"noPBZqWWFSWPs\n3\n",
"abedcfabc\n3\n",
"abczxy\n1\n",
"ms\n26\n",
"fBUycJpfGhsgIVnXAovyoDyndkhv\n9\n",
"gIEQtT\n24\n",
"vPuebwksPlxuevRLuWcACTBBgVnmcAUsQUficgEAhoEm\n2\n",
"GnlFOqPeZtPiBgvvLhaDvGPkFqBTnLgMT\n12\n",
"kI\n3\n",
"VWOibsVSFkxPCmyZLWIOxFbfXdlsNzxVcUVf\n0\n",
"WtQCvgCnHHbLCNEiOCpUcpTiuFOsEqPujEDtlASfg\n13\n",
"fgWjSAlPOvcAbCdDEFjz\n5\n",
"cefEDAbedffbaCcEDfEeCEaAcCeFCcEabEecdEdcaFFde\n0\n",
"WHOBHzhSNkCZbAOwiKdu\n17\n",
"jQmEOolXAtkTjyKqarkGOUstR\n18\n",
"ZZTDnZQMJSstyxRgJfPkFNifmsdL\n11\n",
"xedzyPT\n13\n",
"bBbAbbbbaaAAAaabbBbaaabBaaaAaBbAaBabaAAAaaaaBabbb\n4\n",
"HXyXuYceFtVUMyLqi\n25\n",
"tAjlldiqGZUayJZHFQHFJVRukaIKepPVucrkyPtMrhIXoxZbw\n1\n",
"EcCEECdCEBaaeCBEBbAaCAeEdeCEedCAdDeEbcACdCcCCd\n3\n",
"jWBVk\n12\n",
"AprilFool\n6\n",
"nifzlTLTeWxaD\n1\n",
"ysBKLtQXvmnCrldEceqXKkaZOrvjRbwlW\n3\n",
"IDWFyBIeqoLSwQRCPgXYRnngZocUDclebTpoqGk\n4\n",
"DuFhinq\n1\n",
"NRJzkYtsuPGEaEERHISIQtV\n20\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n0\n",
"uehLuNvrjO\n0\n",
"QDjanUjKImildNqQVtuEjddwhVbhDUXaPEEBcbvfsi\n4\n",
"BCAccbacbcbAAACCabbaccAabAAaaCCBBBAcCcbaABCCAcCb\n4\n",
"jUpxPFfeQIRJOI\n18\n",
"RvpuZTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n4\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n2\n",
"ZoPBnqWWFSWPs\n3\n",
"abedcfabc\n6\n",
"sl\n26\n",
"fBUycJpgGhsgIVnXAovyoDyndkhv\n9\n",
"tIEQgT\n24\n",
"vPuebwksPlxuevQLuWcACTBBgVnmcAUsQUficgEAhoEm\n2\n",
"GnlFOqPeZtPiBgvvLhaDvGPkGqBTnLgMT\n12\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n1\n",
"pH\n4\n",
"LiqWMLEVLRhW\n2\n",
"AAaAAAAaAaaAAAAAaaAAaaaaaAaaaAaAaaAaaAAaaaaaaAaaaa\n6\n",
"cdccAAaBBAADdaCDBbDCaDDabdadAbBccCCcDCBADDcdAdC\n4\n"
],
"output": [
"AprILFooL",
"qh",
"nifzltlaewxtd",
"wlwBrjvrozAkkxqECEDlrCnmvxqtlkBsy",
"liqwmleulrhw",
"KGQOPTBELCDUCOZGNNRYXGPCRQWSLOQEIBYFWDI",
"Dufhhnq",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA",
"vTQISIHREyAEGPuSTEKzJRN",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA",
"uehlunwrjo",
"MDJIVQRIOIVRCCDKSUULNBMEOKIVJRMTANHBKVAOMOBLLFIGNH",
"isfvBcBeepAxudhBvhwddjeutvqqndlimikjunAjdq",
"BCABCBACBCBAAACCABBACCAABAAAACCBCBACCCBAABCCACCB",
"IOJRIQEFPFxPuJ",
"RVPUyTxSBDIJDOLAURLFATCFwVTNDzKyAEwGRz",
"fqhhxcdeaintxhwcfcasgwfvqnymebymlsnkumifgnjb",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDDBADDCDADC",
"R",
"spwsfwwqzBpon",
"ABCdefABC",
"sICNEAKsJCNvOECvqFHLIC",
"abczxy",
"SM",
"FBuyCjpFGHsFIvnxAovyoDynDkHv",
"TTQEIG",
"vpuEBwksplxuEvrluwCACtBBGvnmCAusquFICGEAHoEm",
"GnLFoqpEztpIBKvvLHADvGpGFqBtnLGmt",
"ik",
"vwoiBsvsFkxpCmyzlwioxFBFxDlsnzxvCuvF",
"GFsALtDEJupqEsoFuItpCupCoIEnCLBHHnCGvCqtw",
"FGwjsAlpovCABCDDEFjz",
"PFGLGSKFNGPNKALEDPGLCIUNTTLCTAPLFHAIRUTCFAFO",
"CefeDABeDffBACCeDfeeCeAACCefCCeABeeCDeDCAffDe",
"wHBBHzHsNKCzOAOwIKDu",
"RtsuOGKRAQKyJtKtAxLOOEMQJ",
"lDsmFInFKpFJGrxytssJmqznDtzz",
"xEDzypu",
"BBBABBBBAAAAAAABBBBAAABBAAABABBAABABAAAAAAAABABBB",
"HxyxUyCEFTvUMyLQI",
"tAJLLDIqGzuAyJzHFqHFJvruKAIKEppvuCrKyptmrHIxoxzBw",
"eCCeeCDCeBAAeCBeBBAACAeeDeCeeDCADDeeBCACDCCCCD",
"HQFRRAREPUVAQGFCSUOVKBKVy",
"JwBvK",
"ph\n",
"nifzltltewxad\n",
"ysBkltqxvmnCrlDECEqxkkAzorvjrBwlw\n",
"liqwmlevlrhw\n",
"IDWFYBIEQOLSWQRCPGXYRNNGZOCUDCLEBTPOQGK\n",
"dufhhnq\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"NRJzKETSuPGEAyERHISIQTv\n",
"ojrwnulheu\n",
"qdjAnujkimildnqqvtuejddwhvBhduxApeeBcBvfsi\n",
"BCCACCBAABCCCABCBCCAAAABAACCABBACCAAABCBCABCBACB\n",
"JuPxFPFEQIRJOI\n",
"rvpuytxsBDijDolAurlfAtCfwvtnDzkyAewgrz\n",
"fqhhxcdeAintxhwcfcAsgwfvqnymebymlsnkumifgnjb\n",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDCBADDCDADC\n",
"R\n",
"nopBzqwwfswps\n",
"ABedCfABC\n",
"Abczxy\n",
"MS\n",
"FBuyCjpFGHsGIvnxAovyoDynDkHv\n",
"GIEQTT\n",
"vpueBwksplxuevrluwcActBBgvnmcAusquficgeAhoem\n",
"GnLFoqpEztpIBGvvLHADvGpKFqBtnLGmt\n",
"ki\n",
"vwoibsvsfkxpcmyzlwioxfbfxdlsnzxvcuvf\n",
"wtqCvGCnHHBLCnEIoCpuCptIuFosEqpuJEDtLAsFG\n",
"fgwjsAlpovCABCDDEfjz\n",
"cefedabedffbaccedfeeceaaccefcceabeecdedcaffde\n",
"wHOBHzHsNKCzBAOwIKDu\n",
"JQMEOOLxAtKtJyKQARKGOustR\n",
"zztDnzqmJsstyxrGJFpKFnIFmsDl\n",
"xEDzypt\n",
"BBBABBBBAAAAAAABBBBAAABBAAAAABBAABABAAAAAAAABABBB\n",
"HXYXUYCEFTVUMYLQI\n",
"tAjlldiqgzuAyjzhfqhfjvrukAikeppvucrkyptmrhixoxzbw\n",
"eCCeeCdCeBAAeCBeBBAACAeedeCeedCAddeeBCACdCCCCd\n",
"JwBvK\n",
"AprilFool\n",
"nifzltltewxAd\n",
"ysBkltqxvmnCrldeCeqxkkAzorvjrBwlw\n",
"iDwfyBieqolswqrCpgxyrnngzoCuDCleBtpoqgk\n",
"dufhinq\n",
"NRJzKyTSuPGEAEERHISIQTv\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"uehlunvrjo\n",
"qDjAnujkimilDnqqvtuejDDwhvBhDuxApeeBCBvfsi\n",
"BCACCBACBCBAAACCABBACCAABAAAACCBBBACCCBAABCCACCB\n",
"JuPxPFFEQIRJOI\n",
"rvpuztxsBDijDolAurlfAtCfwvtnDzkyAewgrz\n",
"fqhhxcdeAintxhwcfcAsgwfvqnymeBymlsnkumifgnjB\n",
"zopBnqwwfswps\n",
"ABEDCFABC\n",
"SL\n",
"FBuyCjpGGHsGIvnxAovyoDynDkHv\n",
"TIEQGT\n",
"vpueBwksplxuevqluwcActBBgvnmcAusquficgeAhoem\n",
"GnLFoqpEztpIBGvvLHADvGpKGqBtnLGmt\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"ph\n",
"liqwmlevlrhw\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDCBADDCDADC\n"
]
} | 2CODEFORCES
|
290_D. Orange_388 | <image>
Input
The first line of the input is a string (between 1 and 50 characters long, inclusive). Each character will be a letter of English alphabet, lowercase or uppercase.
The second line of the input is an integer between 0 and 26, inclusive.
Output
Output the required string.
Examples
Input
AprilFool
14
Output
AprILFooL | text = input().lower()
caps = int(input())+97
for letter in text:
print(letter.upper(), end='')if letter < chr(caps) else print(letter, end='')
print() | 3Python3
| {
"input": [
"AprilFool\n14\n",
"qH\n2\n",
"nifzlTLaeWxTD\n0\n",
"WlwbRjvrOZakKXqecEdlrCnmvXQtLKBsy\n5\n",
"LiqWMLEULRhW\n1\n",
"kGqopTbelcDUcoZgnnRYXgPCRQwSLoqeIByFWDI\n26\n",
"DuFhhnq\n4\n",
"aaaaAaaaaaaAAaaAaaAaAaaaAaaaaaAAaaAAAAAaaAaAAAAaAA\n4\n",
"VtQISIHREYaEGPustEkzJRN\n20\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n2\n",
"uehLuNwrjO\n0\n",
"MDJivQRiOIVRcCdkSuUlNbMEOkIVJRMTAnHbkVaOmOblLfignh\n25\n",
"isfvbcBEEPaXUDhbVhwddjEutVQqNdlimIKjUnajDQ\n2\n",
"BCABcbacbcbAAACCabbaccAabAAaaCCBcBAcCcbaABCCAcCb\n4\n",
"IOJRIQefPFxpUj\n18\n",
"RvpuYTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n22\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n0\n",
"cdccAAaBBAADdaCDBbDcaDDabdadAbBccCCCDDBADDcdAdC\n4\n",
"R\n26\n",
"sPWSFWWqZBPon\n3\n",
"abcdefabc\n3\n",
"SICNEaKsjCnvOEcVqFHLIC\n16\n",
"abczxy\n0\n",
"sm\n26\n",
"fBUycJpfGhsfIVnXAovyoDyndkhv\n9\n",
"TtQEIg\n24\n",
"vPuebwksPlxuevRLuWcACTBBgVnmcAUsQUficgEAhoEm\n9\n",
"GnlFOqPeZtPiBkvvLhaDvGPgFqBTnLgMT\n12\n",
"Ik\n3\n",
"VWOibsVSFkxPCmyZLWIOxFbfXdlsNzxVcUVf\n8\n",
"gfSAltDEjuPqEsOFuiTpcUpCOiENCLbHHnCgvCQtW\n13\n",
"fgWjSAlPOvcAbCdDEFjz\n7\n",
"pFgLGSkFnGpNKALeDPGlciUNTTlCtAPlFhaIRutCFaFo\n24\n",
"cefEDAbedffbaCcEDfEeCEaAcCeFCcEabEecdEdcaFFde\n4\n",
"WHbBHzhSNkCZOAOwiKdu\n17\n",
"RtsUOGkraqKyjTktAXloOEmQj\n18\n",
"LdsmfiNFkPfJgRxytsSJMQZnDTZZ\n11\n",
"xedzyPU\n13\n",
"bBbAbbbbaaAAAaabbBbaaabBaaaBaBbAaBabaAAAaaaaBabbb\n4\n",
"HXyXuYceFtVUMyLqi\n21\n",
"tAjlldiqGZUayJZHFQHFJVRukaIKepPVucrkyPtMrhIXoxZbw\n12\n",
"EcCEECdCEBaaeCBEBbAaCAeEdeCEedCAdDeEbcACdCcCCd\n4\n",
"hQfrRArEPuVAQGfcSuoVKBKvY\n22\n",
"jWBVk\n17\n",
"pH\n2\n",
"nifzlTLTeWxaD\n0\n",
"ysBKLtQXvmnCrldEceqXKkaZOrvjRbwlW\n5\n",
"LiqWMLEVLRhW\n1\n",
"IDWFyBIeqoLSwQRCPgXYRnngZocUDclebTpoqGk\n26\n",
"DuFhhnq\n1\n",
"aaaaAaaaaaaAAaaAaaAaAaaaAaaaaaAAaaAAAAAaaAaAAAAaAA\n6\n",
"NRJzkEtsuPGEaYERHISIQtV\n20\n",
"OjrwNuLheu\n0\n",
"QDjanUjKImildNqQVtuEjddwhVbhDUXaPEEBcbvfsi\n2\n",
"bCcACCBAabcCcABcBCCaaAAbaAccabbaCCAAAbcbcabcBACB\n4\n",
"jUpxFPfeQIRJOI\n18\n",
"RvpuYTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n4\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n1\n",
"cdccAAaBBAADdaCDBbDcaDDabdadAbBccCCCDCBADDcdAdC\n4\n",
"R\n24\n",
"noPBZqWWFSWPs\n3\n",
"abedcfabc\n3\n",
"abczxy\n1\n",
"ms\n26\n",
"fBUycJpfGhsgIVnXAovyoDyndkhv\n9\n",
"gIEQtT\n24\n",
"vPuebwksPlxuevRLuWcACTBBgVnmcAUsQUficgEAhoEm\n2\n",
"GnlFOqPeZtPiBgvvLhaDvGPkFqBTnLgMT\n12\n",
"kI\n3\n",
"VWOibsVSFkxPCmyZLWIOxFbfXdlsNzxVcUVf\n0\n",
"WtQCvgCnHHbLCNEiOCpUcpTiuFOsEqPujEDtlASfg\n13\n",
"fgWjSAlPOvcAbCdDEFjz\n5\n",
"cefEDAbedffbaCcEDfEeCEaAcCeFCcEabEecdEdcaFFde\n0\n",
"WHOBHzhSNkCZbAOwiKdu\n17\n",
"jQmEOolXAtkTjyKqarkGOUstR\n18\n",
"ZZTDnZQMJSstyxRgJfPkFNifmsdL\n11\n",
"xedzyPT\n13\n",
"bBbAbbbbaaAAAaabbBbaaabBaaaAaBbAaBabaAAAaaaaBabbb\n4\n",
"HXyXuYceFtVUMyLqi\n25\n",
"tAjlldiqGZUayJZHFQHFJVRukaIKepPVucrkyPtMrhIXoxZbw\n1\n",
"EcCEECdCEBaaeCBEBbAaCAeEdeCEedCAdDeEbcACdCcCCd\n3\n",
"jWBVk\n12\n",
"AprilFool\n6\n",
"nifzlTLTeWxaD\n1\n",
"ysBKLtQXvmnCrldEceqXKkaZOrvjRbwlW\n3\n",
"IDWFyBIeqoLSwQRCPgXYRnngZocUDclebTpoqGk\n4\n",
"DuFhinq\n1\n",
"NRJzkYtsuPGEaEERHISIQtV\n20\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n0\n",
"uehLuNvrjO\n0\n",
"QDjanUjKImildNqQVtuEjddwhVbhDUXaPEEBcbvfsi\n4\n",
"BCAccbacbcbAAACCabbaccAabAAaaCCBBBAcCcbaABCCAcCb\n4\n",
"jUpxPFfeQIRJOI\n18\n",
"RvpuZTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n4\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n2\n",
"ZoPBnqWWFSWPs\n3\n",
"abedcfabc\n6\n",
"sl\n26\n",
"fBUycJpgGhsgIVnXAovyoDyndkhv\n9\n",
"tIEQgT\n24\n",
"vPuebwksPlxuevQLuWcACTBBgVnmcAUsQUficgEAhoEm\n2\n",
"GnlFOqPeZtPiBgvvLhaDvGPkGqBTnLgMT\n12\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n1\n",
"pH\n4\n",
"LiqWMLEVLRhW\n2\n",
"AAaAAAAaAaaAAAAAaaAAaaaaaAaaaAaAaaAaaAAaaaaaaAaaaa\n6\n",
"cdccAAaBBAADdaCDBbDCaDDabdadAbBccCCcDCBADDcdAdC\n4\n"
],
"output": [
"AprILFooL",
"qh",
"nifzltlaewxtd",
"wlwBrjvrozAkkxqECEDlrCnmvxqtlkBsy",
"liqwmleulrhw",
"KGQOPTBELCDUCOZGNNRYXGPCRQWSLOQEIBYFWDI",
"Dufhhnq",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA",
"vTQISIHREyAEGPuSTEKzJRN",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA",
"uehlunwrjo",
"MDJIVQRIOIVRCCDKSUULNBMEOKIVJRMTANHBKVAOMOBLLFIGNH",
"isfvBcBeepAxudhBvhwddjeutvqqndlimikjunAjdq",
"BCABCBACBCBAAACCABBACCAABAAAACCBCBACCCBAABCCACCB",
"IOJRIQEFPFxPuJ",
"RVPUyTxSBDIJDOLAURLFATCFwVTNDzKyAEwGRz",
"fqhhxcdeaintxhwcfcasgwfvqnymebymlsnkumifgnjb",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDDBADDCDADC",
"R",
"spwsfwwqzBpon",
"ABCdefABC",
"sICNEAKsJCNvOECvqFHLIC",
"abczxy",
"SM",
"FBuyCjpFGHsFIvnxAovyoDynDkHv",
"TTQEIG",
"vpuEBwksplxuEvrluwCACtBBGvnmCAusquFICGEAHoEm",
"GnLFoqpEztpIBKvvLHADvGpGFqBtnLGmt",
"ik",
"vwoiBsvsFkxpCmyzlwioxFBFxDlsnzxvCuvF",
"GFsALtDEJupqEsoFuItpCupCoIEnCLBHHnCGvCqtw",
"FGwjsAlpovCABCDDEFjz",
"PFGLGSKFNGPNKALEDPGLCIUNTTLCTAPLFHAIRUTCFAFO",
"CefeDABeDffBACCeDfeeCeAACCefCCeABeeCDeDCAffDe",
"wHBBHzHsNKCzOAOwIKDu",
"RtsuOGKRAQKyJtKtAxLOOEMQJ",
"lDsmFInFKpFJGrxytssJmqznDtzz",
"xEDzypu",
"BBBABBBBAAAAAAABBBBAAABBAAABABBAABABAAAAAAAABABBB",
"HxyxUyCEFTvUMyLQI",
"tAJLLDIqGzuAyJzHFqHFJvruKAIKEppvuCrKyptmrHIxoxzBw",
"eCCeeCDCeBAAeCBeBBAACAeeDeCeeDCADDeeBCACDCCCCD",
"HQFRRAREPUVAQGFCSUOVKBKVy",
"JwBvK",
"ph\n",
"nifzltltewxad\n",
"ysBkltqxvmnCrlDECEqxkkAzorvjrBwlw\n",
"liqwmlevlrhw\n",
"IDWFYBIEQOLSWQRCPGXYRNNGZOCUDCLEBTPOQGK\n",
"dufhhnq\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"NRJzKETSuPGEAyERHISIQTv\n",
"ojrwnulheu\n",
"qdjAnujkimildnqqvtuejddwhvBhduxApeeBcBvfsi\n",
"BCCACCBAABCCCABCBCCAAAABAACCABBACCAAABCBCABCBACB\n",
"JuPxFPFEQIRJOI\n",
"rvpuytxsBDijDolAurlfAtCfwvtnDzkyAewgrz\n",
"fqhhxcdeAintxhwcfcAsgwfvqnymebymlsnkumifgnjb\n",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDCBADDCDADC\n",
"R\n",
"nopBzqwwfswps\n",
"ABedCfABC\n",
"Abczxy\n",
"MS\n",
"FBuyCjpFGHsGIvnxAovyoDynDkHv\n",
"GIEQTT\n",
"vpueBwksplxuevrluwcActBBgvnmcAusquficgeAhoem\n",
"GnLFoqpEztpIBGvvLHADvGpKFqBtnLGmt\n",
"ki\n",
"vwoibsvsfkxpcmyzlwioxfbfxdlsnzxvcuvf\n",
"wtqCvGCnHHBLCnEIoCpuCptIuFosEqpuJEDtLAsFG\n",
"fgwjsAlpovCABCDDEfjz\n",
"cefedabedffbaccedfeeceaaccefcceabeecdedcaffde\n",
"wHOBHzHsNKCzBAOwIKDu\n",
"JQMEOOLxAtKtJyKQARKGOustR\n",
"zztDnzqmJsstyxrGJFpKFnIFmsDl\n",
"xEDzypt\n",
"BBBABBBBAAAAAAABBBBAAABBAAAAABBAABABAAAAAAAABABBB\n",
"HXYXUYCEFTVUMYLQI\n",
"tAjlldiqgzuAyjzhfqhfjvrukAikeppvucrkyptmrhixoxzbw\n",
"eCCeeCdCeBAAeCBeBBAACAeedeCeedCAddeeBCACdCCCCd\n",
"JwBvK\n",
"AprilFool\n",
"nifzltltewxAd\n",
"ysBkltqxvmnCrldeCeqxkkAzorvjrBwlw\n",
"iDwfyBieqolswqrCpgxyrnngzoCuDCleBtpoqgk\n",
"dufhinq\n",
"NRJzKyTSuPGEAEERHISIQTv\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"uehlunvrjo\n",
"qDjAnujkimilDnqqvtuejDDwhvBhDuxApeeBCBvfsi\n",
"BCACCBACBCBAAACCABBACCAABAAAACCBBBACCCBAABCCACCB\n",
"JuPxPFFEQIRJOI\n",
"rvpuztxsBDijDolAurlfAtCfwvtnDzkyAewgrz\n",
"fqhhxcdeAintxhwcfcAsgwfvqnymeBymlsnkumifgnjB\n",
"zopBnqwwfswps\n",
"ABEDCFABC\n",
"SL\n",
"FBuyCjpGGHsGIvnxAovyoDynDkHv\n",
"TIEQGT\n",
"vpueBwksplxuevqluwcActBBgvnmcAusquficgeAhoem\n",
"GnLFoqpEztpIBGvvLHADvGpKGqBtnLGmt\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"ph\n",
"liqwmlevlrhw\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDCBADDCDADC\n"
]
} | 2CODEFORCES
|
290_D. Orange_389 | <image>
Input
The first line of the input is a string (between 1 and 50 characters long, inclusive). Each character will be a letter of English alphabet, lowercase or uppercase.
The second line of the input is an integer between 0 and 26, inclusive.
Output
Output the required string.
Examples
Input
AprilFool
14
Output
AprILFooL | import java.io.*;
public class Main {
public static void main(String[] args) {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
try{
String s = br.readLine();
int n = Integer.parseInt(br.readLine());
s = s.toLowerCase();
String ans = "";
for(int i = 0; i < s.length(); ++i)
{
char c = s.charAt(i);
if(c < n + 97)
{
ans = ans + Character.toUpperCase(c);
}
else{
ans = ans + Character.toLowerCase(c);
}
}
System.out.println(ans);
}
catch(Exception e){
}
}
}
| 4JAVA
| {
"input": [
"AprilFool\n14\n",
"qH\n2\n",
"nifzlTLaeWxTD\n0\n",
"WlwbRjvrOZakKXqecEdlrCnmvXQtLKBsy\n5\n",
"LiqWMLEULRhW\n1\n",
"kGqopTbelcDUcoZgnnRYXgPCRQwSLoqeIByFWDI\n26\n",
"DuFhhnq\n4\n",
"aaaaAaaaaaaAAaaAaaAaAaaaAaaaaaAAaaAAAAAaaAaAAAAaAA\n4\n",
"VtQISIHREYaEGPustEkzJRN\n20\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n2\n",
"uehLuNwrjO\n0\n",
"MDJivQRiOIVRcCdkSuUlNbMEOkIVJRMTAnHbkVaOmOblLfignh\n25\n",
"isfvbcBEEPaXUDhbVhwddjEutVQqNdlimIKjUnajDQ\n2\n",
"BCABcbacbcbAAACCabbaccAabAAaaCCBcBAcCcbaABCCAcCb\n4\n",
"IOJRIQefPFxpUj\n18\n",
"RvpuYTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n22\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n0\n",
"cdccAAaBBAADdaCDBbDcaDDabdadAbBccCCCDDBADDcdAdC\n4\n",
"R\n26\n",
"sPWSFWWqZBPon\n3\n",
"abcdefabc\n3\n",
"SICNEaKsjCnvOEcVqFHLIC\n16\n",
"abczxy\n0\n",
"sm\n26\n",
"fBUycJpfGhsfIVnXAovyoDyndkhv\n9\n",
"TtQEIg\n24\n",
"vPuebwksPlxuevRLuWcACTBBgVnmcAUsQUficgEAhoEm\n9\n",
"GnlFOqPeZtPiBkvvLhaDvGPgFqBTnLgMT\n12\n",
"Ik\n3\n",
"VWOibsVSFkxPCmyZLWIOxFbfXdlsNzxVcUVf\n8\n",
"gfSAltDEjuPqEsOFuiTpcUpCOiENCLbHHnCgvCQtW\n13\n",
"fgWjSAlPOvcAbCdDEFjz\n7\n",
"pFgLGSkFnGpNKALeDPGlciUNTTlCtAPlFhaIRutCFaFo\n24\n",
"cefEDAbedffbaCcEDfEeCEaAcCeFCcEabEecdEdcaFFde\n4\n",
"WHbBHzhSNkCZOAOwiKdu\n17\n",
"RtsUOGkraqKyjTktAXloOEmQj\n18\n",
"LdsmfiNFkPfJgRxytsSJMQZnDTZZ\n11\n",
"xedzyPU\n13\n",
"bBbAbbbbaaAAAaabbBbaaabBaaaBaBbAaBabaAAAaaaaBabbb\n4\n",
"HXyXuYceFtVUMyLqi\n21\n",
"tAjlldiqGZUayJZHFQHFJVRukaIKepPVucrkyPtMrhIXoxZbw\n12\n",
"EcCEECdCEBaaeCBEBbAaCAeEdeCEedCAdDeEbcACdCcCCd\n4\n",
"hQfrRArEPuVAQGfcSuoVKBKvY\n22\n",
"jWBVk\n17\n",
"pH\n2\n",
"nifzlTLTeWxaD\n0\n",
"ysBKLtQXvmnCrldEceqXKkaZOrvjRbwlW\n5\n",
"LiqWMLEVLRhW\n1\n",
"IDWFyBIeqoLSwQRCPgXYRnngZocUDclebTpoqGk\n26\n",
"DuFhhnq\n1\n",
"aaaaAaaaaaaAAaaAaaAaAaaaAaaaaaAAaaAAAAAaaAaAAAAaAA\n6\n",
"NRJzkEtsuPGEaYERHISIQtV\n20\n",
"OjrwNuLheu\n0\n",
"QDjanUjKImildNqQVtuEjddwhVbhDUXaPEEBcbvfsi\n2\n",
"bCcACCBAabcCcABcBCCaaAAbaAccabbaCCAAAbcbcabcBACB\n4\n",
"jUpxFPfeQIRJOI\n18\n",
"RvpuYTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n4\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n1\n",
"cdccAAaBBAADdaCDBbDcaDDabdadAbBccCCCDCBADDcdAdC\n4\n",
"R\n24\n",
"noPBZqWWFSWPs\n3\n",
"abedcfabc\n3\n",
"abczxy\n1\n",
"ms\n26\n",
"fBUycJpfGhsgIVnXAovyoDyndkhv\n9\n",
"gIEQtT\n24\n",
"vPuebwksPlxuevRLuWcACTBBgVnmcAUsQUficgEAhoEm\n2\n",
"GnlFOqPeZtPiBgvvLhaDvGPkFqBTnLgMT\n12\n",
"kI\n3\n",
"VWOibsVSFkxPCmyZLWIOxFbfXdlsNzxVcUVf\n0\n",
"WtQCvgCnHHbLCNEiOCpUcpTiuFOsEqPujEDtlASfg\n13\n",
"fgWjSAlPOvcAbCdDEFjz\n5\n",
"cefEDAbedffbaCcEDfEeCEaAcCeFCcEabEecdEdcaFFde\n0\n",
"WHOBHzhSNkCZbAOwiKdu\n17\n",
"jQmEOolXAtkTjyKqarkGOUstR\n18\n",
"ZZTDnZQMJSstyxRgJfPkFNifmsdL\n11\n",
"xedzyPT\n13\n",
"bBbAbbbbaaAAAaabbBbaaabBaaaAaBbAaBabaAAAaaaaBabbb\n4\n",
"HXyXuYceFtVUMyLqi\n25\n",
"tAjlldiqGZUayJZHFQHFJVRukaIKepPVucrkyPtMrhIXoxZbw\n1\n",
"EcCEECdCEBaaeCBEBbAaCAeEdeCEedCAdDeEbcACdCcCCd\n3\n",
"jWBVk\n12\n",
"AprilFool\n6\n",
"nifzlTLTeWxaD\n1\n",
"ysBKLtQXvmnCrldEceqXKkaZOrvjRbwlW\n3\n",
"IDWFyBIeqoLSwQRCPgXYRnngZocUDclebTpoqGk\n4\n",
"DuFhinq\n1\n",
"NRJzkYtsuPGEaEERHISIQtV\n20\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n0\n",
"uehLuNvrjO\n0\n",
"QDjanUjKImildNqQVtuEjddwhVbhDUXaPEEBcbvfsi\n4\n",
"BCAccbacbcbAAACCabbaccAabAAaaCCBBBAcCcbaABCCAcCb\n4\n",
"jUpxPFfeQIRJOI\n18\n",
"RvpuZTxsbDiJDOLauRlfatcfwvtnDzKyaewGrZ\n4\n",
"fQHHXCdeaintxHWcFcaSGWFvqnYMEByMlSNKumiFgnJB\n2\n",
"ZoPBnqWWFSWPs\n3\n",
"abedcfabc\n6\n",
"sl\n26\n",
"fBUycJpgGhsgIVnXAovyoDyndkhv\n9\n",
"tIEQgT\n24\n",
"vPuebwksPlxuevQLuWcACTBBgVnmcAUsQUficgEAhoEm\n2\n",
"GnlFOqPeZtPiBgvvLhaDvGPkGqBTnLgMT\n12\n",
"aaaaaaAAAaaaaAaaAaaAaaaaAAaAAAaaAAaaaAAaaaaaAaaAAa\n1\n",
"pH\n4\n",
"LiqWMLEVLRhW\n2\n",
"AAaAAAAaAaaAAAAAaaAAaaaaaAaaaAaAaaAaaAAaaaaaaAaaaa\n6\n",
"cdccAAaBBAADdaCDBbDCaDDabdadAbBccCCcDCBADDcdAdC\n4\n"
],
"output": [
"AprILFooL",
"qh",
"nifzltlaewxtd",
"wlwBrjvrozAkkxqECEDlrCnmvxqtlkBsy",
"liqwmleulrhw",
"KGQOPTBELCDUCOZGNNRYXGPCRQWSLOQEIBYFWDI",
"Dufhhnq",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA",
"vTQISIHREyAEGPuSTEKzJRN",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA",
"uehlunwrjo",
"MDJIVQRIOIVRCCDKSUULNBMEOKIVJRMTANHBKVAOMOBLLFIGNH",
"isfvBcBeepAxudhBvhwddjeutvqqndlimikjunAjdq",
"BCABCBACBCBAAACCABBACCAABAAAACCBCBACCCBAABCCACCB",
"IOJRIQEFPFxPuJ",
"RVPUyTxSBDIJDOLAURLFATCFwVTNDzKyAEwGRz",
"fqhhxcdeaintxhwcfcasgwfvqnymebymlsnkumifgnjb",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDDBADDCDADC",
"R",
"spwsfwwqzBpon",
"ABCdefABC",
"sICNEAKsJCNvOECvqFHLIC",
"abczxy",
"SM",
"FBuyCjpFGHsFIvnxAovyoDynDkHv",
"TTQEIG",
"vpuEBwksplxuEvrluwCACtBBGvnmCAusquFICGEAHoEm",
"GnLFoqpEztpIBKvvLHADvGpGFqBtnLGmt",
"ik",
"vwoiBsvsFkxpCmyzlwioxFBFxDlsnzxvCuvF",
"GFsALtDEJupqEsoFuItpCupCoIEnCLBHHnCGvCqtw",
"FGwjsAlpovCABCDDEFjz",
"PFGLGSKFNGPNKALEDPGLCIUNTTLCTAPLFHAIRUTCFAFO",
"CefeDABeDffBACCeDfeeCeAACCefCCeABeeCDeDCAffDe",
"wHBBHzHsNKCzOAOwIKDu",
"RtsuOGKRAQKyJtKtAxLOOEMQJ",
"lDsmFInFKpFJGrxytssJmqznDtzz",
"xEDzypu",
"BBBABBBBAAAAAAABBBBAAABBAAABABBAABABAAAAAAAABABBB",
"HxyxUyCEFTvUMyLQI",
"tAJLLDIqGzuAyJzHFqHFJvruKAIKEppvuCrKyptmrHIxoxzBw",
"eCCeeCDCeBAAeCBeBBAACAeeDeCeeDCADDeeBCACDCCCCD",
"HQFRRAREPUVAQGFCSUOVKBKVy",
"JwBvK",
"ph\n",
"nifzltltewxad\n",
"ysBkltqxvmnCrlDECEqxkkAzorvjrBwlw\n",
"liqwmlevlrhw\n",
"IDWFYBIEQOLSWQRCPGXYRNNGZOCUDCLEBTPOQGK\n",
"dufhhnq\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"NRJzKETSuPGEAyERHISIQTv\n",
"ojrwnulheu\n",
"qdjAnujkimildnqqvtuejddwhvBhduxApeeBcBvfsi\n",
"BCCACCBAABCCCABCBCCAAAABAACCABBACCAAABCBCABCBACB\n",
"JuPxFPFEQIRJOI\n",
"rvpuytxsBDijDolAurlfAtCfwvtnDzkyAewgrz\n",
"fqhhxcdeAintxhwcfcAsgwfvqnymebymlsnkumifgnjb\n",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDCBADDCDADC\n",
"R\n",
"nopBzqwwfswps\n",
"ABedCfABC\n",
"Abczxy\n",
"MS\n",
"FBuyCjpFGHsGIvnxAovyoDynDkHv\n",
"GIEQTT\n",
"vpueBwksplxuevrluwcActBBgvnmcAusquficgeAhoem\n",
"GnLFoqpEztpIBGvvLHADvGpKFqBtnLGmt\n",
"ki\n",
"vwoibsvsfkxpcmyzlwioxfbfxdlsnzxvcuvf\n",
"wtqCvGCnHHBLCnEIoCpuCptIuFosEqpuJEDtLAsFG\n",
"fgwjsAlpovCABCDDEfjz\n",
"cefedabedffbaccedfeeceaaccefcceabeecdedcaffde\n",
"wHOBHzHsNKCzBAOwIKDu\n",
"JQMEOOLxAtKtJyKQARKGOustR\n",
"zztDnzqmJsstyxrGJFpKFnIFmsDl\n",
"xEDzypt\n",
"BBBABBBBAAAAAAABBBBAAABBAAAAABBAABABAAAAAAAABABBB\n",
"HXYXUYCEFTVUMYLQI\n",
"tAjlldiqgzuAyjzhfqhfjvrukAikeppvucrkyptmrhixoxzbw\n",
"eCCeeCdCeBAAeCBeBBAACAeedeCeedCAddeeBCACdCCCCd\n",
"JwBvK\n",
"AprilFool\n",
"nifzltltewxAd\n",
"ysBkltqxvmnCrldeCeqxkkAzorvjrBwlw\n",
"iDwfyBieqolswqrCpgxyrnngzoCuDCleBtpoqgk\n",
"dufhinq\n",
"NRJzKyTSuPGEAEERHISIQTv\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"uehlunvrjo\n",
"qDjAnujkimilDnqqvtuejDDwhvBhDuxApeeBCBvfsi\n",
"BCACCBACBCBAAACCABBACCAABAAAACCBBBACCCBAABCCACCB\n",
"JuPxPFFEQIRJOI\n",
"rvpuztxsBDijDolAurlfAtCfwvtnDzkyAewgrz\n",
"fqhhxcdeAintxhwcfcAsgwfvqnymeBymlsnkumifgnjB\n",
"zopBnqwwfswps\n",
"ABEDCFABC\n",
"SL\n",
"FBuyCjpGGHsGIvnxAovyoDynDkHv\n",
"TIEQGT\n",
"vpueBwksplxuevqluwcActBBgvnmcAusquficgeAhoem\n",
"GnLFoqpEztpIBGvvLHADvGpKGqBtnLGmt\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"ph\n",
"liqwmlevlrhw\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
"CDCCAAABBAADDACDBBDCADDABDADABBCCCCCDCBADDCDADC\n"
]
} | 2CODEFORCES
|
316_B2. EKG_390 | In the rush of modern life, people often forget how beautiful the world is. The time to enjoy those around them is so little that some even stand in queues to several rooms at the same time in the clinic, running from one queue to another.
(Cultural note: standing in huge and disorganized queues for hours is a native tradition in Russia, dating back to the Soviet period. Queues can resemble crowds rather than lines. Not to get lost in such a queue, a person should follow a strict survival technique: you approach the queue and ask who the last person is, somebody answers and you join the crowd. Now you're the last person in the queue till somebody else shows up. You keep an eye on the one who was last before you as he is your only chance to get to your destination) I'm sure many people have had the problem when a stranger asks who the last person in the queue is and even dares to hint that he will be the last in the queue and then bolts away to some unknown destination. These are the representatives of the modern world, in which the ratio of lack of time is so great that they do not even watch foreign top-rated TV series. Such people often create problems in queues, because the newcomer does not see the last person in the queue and takes a place after the "virtual" link in this chain, wondering where this legendary figure has left.
The Smart Beaver has been ill and he's made an appointment with a therapist. The doctor told the Beaver the sad news in a nutshell: it is necessary to do an electrocardiogram. The next day the Smart Beaver got up early, put on the famous TV series on download (three hours till the download's complete), clenched his teeth and bravely went to join a queue to the electrocardiogram room, which is notorious for the biggest queues at the clinic.
Having stood for about three hours in the queue, the Smart Beaver realized that many beavers had not seen who was supposed to stand in the queue before them and there was a huge mess. He came up to each beaver in the ECG room queue and asked who should be in front of him in the queue. If the beaver did not know his correct position in the queue, then it might be his turn to go get an ECG, or maybe he should wait for a long, long time...
As you've guessed, the Smart Beaver was in a hurry home, so he gave you all the necessary information for you to help him to determine what his number in the queue can be.
Input
The first line contains two integers n (1 ≤ n ≤ 103) and x (1 ≤ x ≤ n) — the number of beavers that stand in the queue and the Smart Beaver's number, correspondingly. All willing to get to the doctor are numbered from 1 to n.
The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ n) — the number of the beaver followed by the i-th beaver. If ai = 0, then the i-th beaver doesn't know who is should be in front of him. It is guaranteed that values ai are correct. That is there is no cycles in the dependencies. And any beaver is followed by at most one beaver in the queue.
The input limits for scoring 30 points are (subproblem B1):
* It is guaranteed that the number of zero elements ai doesn't exceed 20.
The input limits for scoring 100 points are (subproblems B1+B2):
* The number of zero elements ai is arbitrary.
Output
Print all possible positions of the Smart Beaver in the line in the increasing order.
Examples
Input
6 1
2 0 4 0 6 0
Output
2
4
6
Input
6 2
2 3 0 5 6 0
Output
2
5
Input
4 1
0 0 0 0
Output
1
2
3
4
Input
6 2
0 0 1 0 4 5
Output
1
3
4
6
Note
<image> Picture for the fourth test. | r=lambda:map(int,raw_input().split())
n,x=r()
a=[0]+r()
v=[0]*(n+1)
for i in range(n+1):
if a[i]:
v[a[i]] = i
r={0}
X=1
for i in range(1,n+1):
if a[i] < 1:
k = 1
z = i
f=0
while z:
if z == x:
X=k;f=1
break
z = v[z]
k+=1
if not f: r|={j + k - 1 for j in r}
print '\n'.join(`i + X` for i in sorted(list(r))) | 1Python2
| {
"input": [
"6 2\n2 3 0 5 6 0\n",
"6 2\n0 0 1 0 4 5\n",
"6 1\n2 0 4 0 6 0\n",
"4 1\n0 0 0 0\n",
"20 20\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"10 4\n0 1 4 2 7 0 10 0 5 8\n",
"10 7\n10 8 6 5 0 0 0 4 3 9\n",
"10 1\n8 7 0 2 0 10 0 0 3 5\n",
"10 7\n7 9 2 10 0 0 0 3 5 1\n",
"10 2\n10 0 9 0 0 4 2 6 8 0\n",
"10 2\n0 7 0 10 8 0 4 2 3 0\n",
"10 4\n0 1 4 2 3 0 10 0 5 8\n",
"6 3\n0 0 1 0 4 5\n",
"6 1\n0 0 4 0 6 0\n",
"4 1\n0 1 0 0\n",
"10 4\n0 1 4 2 0 0 10 0 5 8\n",
"6 1\n0 0 4 1 6 0\n",
"10 2\n10 0 9 0 0 4 3 6 8 0\n",
"6 1\n0 1 4 0 6 0\n",
"6 1\n0 1 5 0 6 0\n",
"10 1\n8 6 0 2 0 10 0 0 3 5\n",
"6 1\n2 0 4 0 6 1\n",
"10 1\n0 1 4 2 0 0 10 0 5 8\n",
"10 4\n0 7 0 10 8 0 4 2 3 0\n",
"6 1\n3 0 4 0 6 0\n",
"6 1\n0 0 0 1 6 0\n",
"10 1\n8 6 1 2 0 10 0 0 3 5\n",
"10 1\n0 1 6 2 0 0 10 0 5 8\n",
"10 7\n0 7 0 10 8 0 4 2 3 0\n",
"10 1\n8 6 1 2 0 9 0 0 3 5\n",
"10 2\n10 0 9 1 0 4 2 6 8 0\n",
"10 2\n0 7 0 10 8 0 4 1 3 0\n",
"10 1\n0 7 0 10 8 0 4 0 3 0\n",
"6 1\n3 0 4 0 1 0\n",
"10 2\n0 6 0 10 8 0 4 1 3 0\n",
"10 3\n0 1 4 2 0 0 10 0 5 9\n",
"10 1\n10 0 5 1 0 4 2 6 8 0\n",
"20 20\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1\n",
"10 2\n10 0 5 0 0 4 3 6 8 0\n",
"6 1\n3 0 4 0 6 1\n",
"10 1\n0 1 4 0 0 0 10 0 5 8\n",
"6 1\n0 0 4 0 6 2\n",
"10 3\n10 0 9 1 0 4 2 6 8 0\n",
"10 1\n0 7 0 10 8 0 4 2 3 0\n",
"6 3\n0 0 1 0 2 5\n",
"6 1\n0 1 5 0 4 0\n",
"6 1\n0 0 1 0 4 5\n",
"6 1\n0 0 4 0 6 1\n",
"6 3\n0 0 1 0 2 0\n",
"6 1\n0 0 0 0 4 5\n",
"6 3\n0 0 0 0 2 0\n",
"6 2\n0 0 0 0 4 5\n",
"10 3\n0 1 4 2 0 0 10 0 5 8\n",
"10 1\n0 1 4 2 0 0 10 0 5 3\n",
"6 3\n0 0 1 0 4 0\n",
"6 3\n0 0 0 0 4 0\n",
"10 1\n10 0 9 1 0 4 2 6 8 0\n",
"10 1\n0 6 0 10 8 0 4 1 3 0\n",
"10 7\n7 0 2 10 0 0 0 3 5 1\n",
"6 1\n0 1 5 0 0 0\n",
"10 1\n8 6 0 2 0 10 0 0 3 1\n",
"10 1\n0 7 0 10 8 0 5 0 3 0\n",
"10 1\n0 0 4 2 0 0 10 0 5 3\n",
"6 1\n2 0 4 0 1 0\n",
"6 4\n0 0 0 0 4 0\n"
],
"output": [
"2\n5\n",
"1\n3\n4\n6\n",
"2\n4\n6\n",
"1\n2\n3\n4\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n",
"3\n4\n8\n9\n",
"1\n5\n6\n10\n",
"2\n4\n5\n7\n8\n10\n",
"1\n2\n6\n7\n",
"1\n2\n3\n4\n6\n7\n8\n9\n",
"4\n5\n6\n7\n8\n",
"3\n4\n6\n7\n",
"2\n3\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n",
"3\n4\n5\n6\n7\n8\n9\n",
"1\n2\n3\n4\n",
"1\n2\n3\n4\n7\n8\n9\n10\n",
"1\n3\n5\n",
"1\n2\n4\n5\n",
"2\n3\n4\n5\n7\n8\n9\n10\n",
"2\n4\n",
"1\n2\n3\n4\n5\n6\n7\n",
"2\n3\n4\n5\n6\n",
"3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n",
"2\n3\n7\n8\n",
"1\n3\n4\n5\n6\n8\n",
"3\n4\n5\n6\n7\n",
"2\n3\n4\n5\n",
"1\n2\n8\n9\n",
"4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"3\n4\n5\n",
"2\n4\n5\n7\n8\n10\n",
"4\n5\n6\n8\n9\n10\n",
"2\n4\n6\n",
"2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n",
"1\n3\n4\n5\n6\n7\n8\n10\n",
"3\n4\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n",
"1\n3\n4\n6\n",
"7\n8\n9\n10\n",
"1\n2\n3\n4\n7\n8\n9\n10\n",
"2\n3\n5\n6\n",
"1\n2\n4\n5\n",
"1\n2\n4\n5\n",
"1\n2\n3\n4\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"2\n3\n4\n5\n",
"1\n3\n4\n5\n6\n8\n",
"1\n2\n3\n4\n5\n6\n7\n",
"1\n2\n3\n4\n5\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"2\n3\n4\n5\n",
"1\n2\n3\n4\n5\n"
]
} | 2CODEFORCES
|
316_B2. EKG_391 | In the rush of modern life, people often forget how beautiful the world is. The time to enjoy those around them is so little that some even stand in queues to several rooms at the same time in the clinic, running from one queue to another.
(Cultural note: standing in huge and disorganized queues for hours is a native tradition in Russia, dating back to the Soviet period. Queues can resemble crowds rather than lines. Not to get lost in such a queue, a person should follow a strict survival technique: you approach the queue and ask who the last person is, somebody answers and you join the crowd. Now you're the last person in the queue till somebody else shows up. You keep an eye on the one who was last before you as he is your only chance to get to your destination) I'm sure many people have had the problem when a stranger asks who the last person in the queue is and even dares to hint that he will be the last in the queue and then bolts away to some unknown destination. These are the representatives of the modern world, in which the ratio of lack of time is so great that they do not even watch foreign top-rated TV series. Such people often create problems in queues, because the newcomer does not see the last person in the queue and takes a place after the "virtual" link in this chain, wondering where this legendary figure has left.
The Smart Beaver has been ill and he's made an appointment with a therapist. The doctor told the Beaver the sad news in a nutshell: it is necessary to do an electrocardiogram. The next day the Smart Beaver got up early, put on the famous TV series on download (three hours till the download's complete), clenched his teeth and bravely went to join a queue to the electrocardiogram room, which is notorious for the biggest queues at the clinic.
Having stood for about three hours in the queue, the Smart Beaver realized that many beavers had not seen who was supposed to stand in the queue before them and there was a huge mess. He came up to each beaver in the ECG room queue and asked who should be in front of him in the queue. If the beaver did not know his correct position in the queue, then it might be his turn to go get an ECG, or maybe he should wait for a long, long time...
As you've guessed, the Smart Beaver was in a hurry home, so he gave you all the necessary information for you to help him to determine what his number in the queue can be.
Input
The first line contains two integers n (1 ≤ n ≤ 103) and x (1 ≤ x ≤ n) — the number of beavers that stand in the queue and the Smart Beaver's number, correspondingly. All willing to get to the doctor are numbered from 1 to n.
The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ n) — the number of the beaver followed by the i-th beaver. If ai = 0, then the i-th beaver doesn't know who is should be in front of him. It is guaranteed that values ai are correct. That is there is no cycles in the dependencies. And any beaver is followed by at most one beaver in the queue.
The input limits for scoring 30 points are (subproblem B1):
* It is guaranteed that the number of zero elements ai doesn't exceed 20.
The input limits for scoring 100 points are (subproblems B1+B2):
* The number of zero elements ai is arbitrary.
Output
Print all possible positions of the Smart Beaver in the line in the increasing order.
Examples
Input
6 1
2 0 4 0 6 0
Output
2
4
6
Input
6 2
2 3 0 5 6 0
Output
2
5
Input
4 1
0 0 0 0
Output
1
2
3
4
Input
6 2
0 0 1 0 4 5
Output
1
3
4
6
Note
<image> Picture for the fourth test. | #include <bits/stdc++.h>
using namespace std;
int s[5555], b[5555];
bool mark[5555], moze[5555];
int main() {
int n, x, i, j, t, q, br, of, bb;
scanf("%d%d", &n, &x);
for (i = 0; i <= n; i++) mark[i] = false;
for (i = 1; i <= n; i++) {
scanf("%d", &s[i]);
mark[s[i]] = true;
}
br = 0;
of = 0;
q = -1;
for (i = 1; i <= n; i++) {
if (!mark[i]) {
t = i;
bb = 0;
b[br] = 0;
while (t != 0) {
b[br]++;
if (bb) of++;
if (t == x) {
of++;
bb = 1;
}
t = s[t];
}
if (bb) q = br;
br++;
}
}
for (i = 0; i <= 1555; i++) moze[i] = false;
moze[of] = true;
for (i = 0; i < br; i++)
if (i != q) {
for (j = 1234; j > b[i]; j--)
if (moze[j - b[i]]) moze[j] = true;
}
for (i = 1; i <= 1234; i++)
if (moze[i]) printf("%d\n", i);
return 0;
}
| 2C++
| {
"input": [
"6 2\n2 3 0 5 6 0\n",
"6 2\n0 0 1 0 4 5\n",
"6 1\n2 0 4 0 6 0\n",
"4 1\n0 0 0 0\n",
"20 20\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"10 4\n0 1 4 2 7 0 10 0 5 8\n",
"10 7\n10 8 6 5 0 0 0 4 3 9\n",
"10 1\n8 7 0 2 0 10 0 0 3 5\n",
"10 7\n7 9 2 10 0 0 0 3 5 1\n",
"10 2\n10 0 9 0 0 4 2 6 8 0\n",
"10 2\n0 7 0 10 8 0 4 2 3 0\n",
"10 4\n0 1 4 2 3 0 10 0 5 8\n",
"6 3\n0 0 1 0 4 5\n",
"6 1\n0 0 4 0 6 0\n",
"4 1\n0 1 0 0\n",
"10 4\n0 1 4 2 0 0 10 0 5 8\n",
"6 1\n0 0 4 1 6 0\n",
"10 2\n10 0 9 0 0 4 3 6 8 0\n",
"6 1\n0 1 4 0 6 0\n",
"6 1\n0 1 5 0 6 0\n",
"10 1\n8 6 0 2 0 10 0 0 3 5\n",
"6 1\n2 0 4 0 6 1\n",
"10 1\n0 1 4 2 0 0 10 0 5 8\n",
"10 4\n0 7 0 10 8 0 4 2 3 0\n",
"6 1\n3 0 4 0 6 0\n",
"6 1\n0 0 0 1 6 0\n",
"10 1\n8 6 1 2 0 10 0 0 3 5\n",
"10 1\n0 1 6 2 0 0 10 0 5 8\n",
"10 7\n0 7 0 10 8 0 4 2 3 0\n",
"10 1\n8 6 1 2 0 9 0 0 3 5\n",
"10 2\n10 0 9 1 0 4 2 6 8 0\n",
"10 2\n0 7 0 10 8 0 4 1 3 0\n",
"10 1\n0 7 0 10 8 0 4 0 3 0\n",
"6 1\n3 0 4 0 1 0\n",
"10 2\n0 6 0 10 8 0 4 1 3 0\n",
"10 3\n0 1 4 2 0 0 10 0 5 9\n",
"10 1\n10 0 5 1 0 4 2 6 8 0\n",
"20 20\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1\n",
"10 2\n10 0 5 0 0 4 3 6 8 0\n",
"6 1\n3 0 4 0 6 1\n",
"10 1\n0 1 4 0 0 0 10 0 5 8\n",
"6 1\n0 0 4 0 6 2\n",
"10 3\n10 0 9 1 0 4 2 6 8 0\n",
"10 1\n0 7 0 10 8 0 4 2 3 0\n",
"6 3\n0 0 1 0 2 5\n",
"6 1\n0 1 5 0 4 0\n",
"6 1\n0 0 1 0 4 5\n",
"6 1\n0 0 4 0 6 1\n",
"6 3\n0 0 1 0 2 0\n",
"6 1\n0 0 0 0 4 5\n",
"6 3\n0 0 0 0 2 0\n",
"6 2\n0 0 0 0 4 5\n",
"10 3\n0 1 4 2 0 0 10 0 5 8\n",
"10 1\n0 1 4 2 0 0 10 0 5 3\n",
"6 3\n0 0 1 0 4 0\n",
"6 3\n0 0 0 0 4 0\n",
"10 1\n10 0 9 1 0 4 2 6 8 0\n",
"10 1\n0 6 0 10 8 0 4 1 3 0\n",
"10 7\n7 0 2 10 0 0 0 3 5 1\n",
"6 1\n0 1 5 0 0 0\n",
"10 1\n8 6 0 2 0 10 0 0 3 1\n",
"10 1\n0 7 0 10 8 0 5 0 3 0\n",
"10 1\n0 0 4 2 0 0 10 0 5 3\n",
"6 1\n2 0 4 0 1 0\n",
"6 4\n0 0 0 0 4 0\n"
],
"output": [
"2\n5\n",
"1\n3\n4\n6\n",
"2\n4\n6\n",
"1\n2\n3\n4\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n",
"3\n4\n8\n9\n",
"1\n5\n6\n10\n",
"2\n4\n5\n7\n8\n10\n",
"1\n2\n6\n7\n",
"1\n2\n3\n4\n6\n7\n8\n9\n",
"4\n5\n6\n7\n8\n",
"3\n4\n6\n7\n",
"2\n3\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n",
"3\n4\n5\n6\n7\n8\n9\n",
"1\n2\n3\n4\n",
"1\n2\n3\n4\n7\n8\n9\n10\n",
"1\n3\n5\n",
"1\n2\n4\n5\n",
"2\n3\n4\n5\n7\n8\n9\n10\n",
"2\n4\n",
"1\n2\n3\n4\n5\n6\n7\n",
"2\n3\n4\n5\n6\n",
"3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n",
"2\n3\n7\n8\n",
"1\n3\n4\n5\n6\n8\n",
"3\n4\n5\n6\n7\n",
"2\n3\n4\n5\n",
"1\n2\n8\n9\n",
"4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"3\n4\n5\n",
"2\n4\n5\n7\n8\n10\n",
"4\n5\n6\n8\n9\n10\n",
"2\n4\n6\n",
"2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n",
"1\n3\n4\n5\n6\n7\n8\n10\n",
"3\n4\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n",
"1\n3\n4\n6\n",
"7\n8\n9\n10\n",
"1\n2\n3\n4\n7\n8\n9\n10\n",
"2\n3\n5\n6\n",
"1\n2\n4\n5\n",
"1\n2\n4\n5\n",
"1\n2\n3\n4\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"2\n3\n4\n5\n",
"1\n3\n4\n5\n6\n8\n",
"1\n2\n3\n4\n5\n6\n7\n",
"1\n2\n3\n4\n5\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"2\n3\n4\n5\n",
"1\n2\n3\n4\n5\n"
]
} | 2CODEFORCES
|
316_B2. EKG_392 | In the rush of modern life, people often forget how beautiful the world is. The time to enjoy those around them is so little that some even stand in queues to several rooms at the same time in the clinic, running from one queue to another.
(Cultural note: standing in huge and disorganized queues for hours is a native tradition in Russia, dating back to the Soviet period. Queues can resemble crowds rather than lines. Not to get lost in such a queue, a person should follow a strict survival technique: you approach the queue and ask who the last person is, somebody answers and you join the crowd. Now you're the last person in the queue till somebody else shows up. You keep an eye on the one who was last before you as he is your only chance to get to your destination) I'm sure many people have had the problem when a stranger asks who the last person in the queue is and even dares to hint that he will be the last in the queue and then bolts away to some unknown destination. These are the representatives of the modern world, in which the ratio of lack of time is so great that they do not even watch foreign top-rated TV series. Such people often create problems in queues, because the newcomer does not see the last person in the queue and takes a place after the "virtual" link in this chain, wondering where this legendary figure has left.
The Smart Beaver has been ill and he's made an appointment with a therapist. The doctor told the Beaver the sad news in a nutshell: it is necessary to do an electrocardiogram. The next day the Smart Beaver got up early, put on the famous TV series on download (three hours till the download's complete), clenched his teeth and bravely went to join a queue to the electrocardiogram room, which is notorious for the biggest queues at the clinic.
Having stood for about three hours in the queue, the Smart Beaver realized that many beavers had not seen who was supposed to stand in the queue before them and there was a huge mess. He came up to each beaver in the ECG room queue and asked who should be in front of him in the queue. If the beaver did not know his correct position in the queue, then it might be his turn to go get an ECG, or maybe he should wait for a long, long time...
As you've guessed, the Smart Beaver was in a hurry home, so he gave you all the necessary information for you to help him to determine what his number in the queue can be.
Input
The first line contains two integers n (1 ≤ n ≤ 103) and x (1 ≤ x ≤ n) — the number of beavers that stand in the queue and the Smart Beaver's number, correspondingly. All willing to get to the doctor are numbered from 1 to n.
The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ n) — the number of the beaver followed by the i-th beaver. If ai = 0, then the i-th beaver doesn't know who is should be in front of him. It is guaranteed that values ai are correct. That is there is no cycles in the dependencies. And any beaver is followed by at most one beaver in the queue.
The input limits for scoring 30 points are (subproblem B1):
* It is guaranteed that the number of zero elements ai doesn't exceed 20.
The input limits for scoring 100 points are (subproblems B1+B2):
* The number of zero elements ai is arbitrary.
Output
Print all possible positions of the Smart Beaver in the line in the increasing order.
Examples
Input
6 1
2 0 4 0 6 0
Output
2
4
6
Input
6 2
2 3 0 5 6 0
Output
2
5
Input
4 1
0 0 0 0
Output
1
2
3
4
Input
6 2
0 0 1 0 4 5
Output
1
3
4
6
Note
<image> Picture for the fourth test. | def f(x, p):
q = []
while x:
q.append(x)
x = p[x]
return q
from collections import defaultdict
n, k = map(int, input().split())
t = list(map(int, input().split()))
p = [0] * (n + 1)
for i, j in enumerate(t, 1):
p[j] = i
p = [f(i, p) for i, j in enumerate(t, 1) if j == 0]
s = defaultdict(int)
for i in p:
if k in i: t = {i.index(k) + 1}
else: s[len(i)] += 1
s = [list(range(i, k * i + 1, i)) for i, k in s.items()]
for q in s:
t |= {x + y for x in q for y in t}
print('\n'.join(map(str, sorted(list(t))))) | 3Python3
| {
"input": [
"6 2\n2 3 0 5 6 0\n",
"6 2\n0 0 1 0 4 5\n",
"6 1\n2 0 4 0 6 0\n",
"4 1\n0 0 0 0\n",
"20 20\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"10 4\n0 1 4 2 7 0 10 0 5 8\n",
"10 7\n10 8 6 5 0 0 0 4 3 9\n",
"10 1\n8 7 0 2 0 10 0 0 3 5\n",
"10 7\n7 9 2 10 0 0 0 3 5 1\n",
"10 2\n10 0 9 0 0 4 2 6 8 0\n",
"10 2\n0 7 0 10 8 0 4 2 3 0\n",
"10 4\n0 1 4 2 3 0 10 0 5 8\n",
"6 3\n0 0 1 0 4 5\n",
"6 1\n0 0 4 0 6 0\n",
"4 1\n0 1 0 0\n",
"10 4\n0 1 4 2 0 0 10 0 5 8\n",
"6 1\n0 0 4 1 6 0\n",
"10 2\n10 0 9 0 0 4 3 6 8 0\n",
"6 1\n0 1 4 0 6 0\n",
"6 1\n0 1 5 0 6 0\n",
"10 1\n8 6 0 2 0 10 0 0 3 5\n",
"6 1\n2 0 4 0 6 1\n",
"10 1\n0 1 4 2 0 0 10 0 5 8\n",
"10 4\n0 7 0 10 8 0 4 2 3 0\n",
"6 1\n3 0 4 0 6 0\n",
"6 1\n0 0 0 1 6 0\n",
"10 1\n8 6 1 2 0 10 0 0 3 5\n",
"10 1\n0 1 6 2 0 0 10 0 5 8\n",
"10 7\n0 7 0 10 8 0 4 2 3 0\n",
"10 1\n8 6 1 2 0 9 0 0 3 5\n",
"10 2\n10 0 9 1 0 4 2 6 8 0\n",
"10 2\n0 7 0 10 8 0 4 1 3 0\n",
"10 1\n0 7 0 10 8 0 4 0 3 0\n",
"6 1\n3 0 4 0 1 0\n",
"10 2\n0 6 0 10 8 0 4 1 3 0\n",
"10 3\n0 1 4 2 0 0 10 0 5 9\n",
"10 1\n10 0 5 1 0 4 2 6 8 0\n",
"20 20\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1\n",
"10 2\n10 0 5 0 0 4 3 6 8 0\n",
"6 1\n3 0 4 0 6 1\n",
"10 1\n0 1 4 0 0 0 10 0 5 8\n",
"6 1\n0 0 4 0 6 2\n",
"10 3\n10 0 9 1 0 4 2 6 8 0\n",
"10 1\n0 7 0 10 8 0 4 2 3 0\n",
"6 3\n0 0 1 0 2 5\n",
"6 1\n0 1 5 0 4 0\n",
"6 1\n0 0 1 0 4 5\n",
"6 1\n0 0 4 0 6 1\n",
"6 3\n0 0 1 0 2 0\n",
"6 1\n0 0 0 0 4 5\n",
"6 3\n0 0 0 0 2 0\n",
"6 2\n0 0 0 0 4 5\n",
"10 3\n0 1 4 2 0 0 10 0 5 8\n",
"10 1\n0 1 4 2 0 0 10 0 5 3\n",
"6 3\n0 0 1 0 4 0\n",
"6 3\n0 0 0 0 4 0\n",
"10 1\n10 0 9 1 0 4 2 6 8 0\n",
"10 1\n0 6 0 10 8 0 4 1 3 0\n",
"10 7\n7 0 2 10 0 0 0 3 5 1\n",
"6 1\n0 1 5 0 0 0\n",
"10 1\n8 6 0 2 0 10 0 0 3 1\n",
"10 1\n0 7 0 10 8 0 5 0 3 0\n",
"10 1\n0 0 4 2 0 0 10 0 5 3\n",
"6 1\n2 0 4 0 1 0\n",
"6 4\n0 0 0 0 4 0\n"
],
"output": [
"2\n5\n",
"1\n3\n4\n6\n",
"2\n4\n6\n",
"1\n2\n3\n4\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n",
"3\n4\n8\n9\n",
"1\n5\n6\n10\n",
"2\n4\n5\n7\n8\n10\n",
"1\n2\n6\n7\n",
"1\n2\n3\n4\n6\n7\n8\n9\n",
"4\n5\n6\n7\n8\n",
"3\n4\n6\n7\n",
"2\n3\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n",
"3\n4\n5\n6\n7\n8\n9\n",
"1\n2\n3\n4\n",
"1\n2\n3\n4\n7\n8\n9\n10\n",
"1\n3\n5\n",
"1\n2\n4\n5\n",
"2\n3\n4\n5\n7\n8\n9\n10\n",
"2\n4\n",
"1\n2\n3\n4\n5\n6\n7\n",
"2\n3\n4\n5\n6\n",
"3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n",
"2\n3\n7\n8\n",
"1\n3\n4\n5\n6\n8\n",
"3\n4\n5\n6\n7\n",
"2\n3\n4\n5\n",
"1\n2\n8\n9\n",
"4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"3\n4\n5\n",
"2\n4\n5\n7\n8\n10\n",
"4\n5\n6\n8\n9\n10\n",
"2\n4\n6\n",
"2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n",
"1\n3\n4\n5\n6\n7\n8\n10\n",
"3\n4\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n",
"1\n3\n4\n6\n",
"7\n8\n9\n10\n",
"1\n2\n3\n4\n7\n8\n9\n10\n",
"2\n3\n5\n6\n",
"1\n2\n4\n5\n",
"1\n2\n4\n5\n",
"1\n2\n3\n4\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"2\n3\n4\n5\n",
"1\n3\n4\n5\n6\n8\n",
"1\n2\n3\n4\n5\n6\n7\n",
"1\n2\n3\n4\n5\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"2\n3\n4\n5\n",
"1\n2\n3\n4\n5\n"
]
} | 2CODEFORCES
|
316_B2. EKG_393 | In the rush of modern life, people often forget how beautiful the world is. The time to enjoy those around them is so little that some even stand in queues to several rooms at the same time in the clinic, running from one queue to another.
(Cultural note: standing in huge and disorganized queues for hours is a native tradition in Russia, dating back to the Soviet period. Queues can resemble crowds rather than lines. Not to get lost in such a queue, a person should follow a strict survival technique: you approach the queue and ask who the last person is, somebody answers and you join the crowd. Now you're the last person in the queue till somebody else shows up. You keep an eye on the one who was last before you as he is your only chance to get to your destination) I'm sure many people have had the problem when a stranger asks who the last person in the queue is and even dares to hint that he will be the last in the queue and then bolts away to some unknown destination. These are the representatives of the modern world, in which the ratio of lack of time is so great that they do not even watch foreign top-rated TV series. Such people often create problems in queues, because the newcomer does not see the last person in the queue and takes a place after the "virtual" link in this chain, wondering where this legendary figure has left.
The Smart Beaver has been ill and he's made an appointment with a therapist. The doctor told the Beaver the sad news in a nutshell: it is necessary to do an electrocardiogram. The next day the Smart Beaver got up early, put on the famous TV series on download (three hours till the download's complete), clenched his teeth and bravely went to join a queue to the electrocardiogram room, which is notorious for the biggest queues at the clinic.
Having stood for about three hours in the queue, the Smart Beaver realized that many beavers had not seen who was supposed to stand in the queue before them and there was a huge mess. He came up to each beaver in the ECG room queue and asked who should be in front of him in the queue. If the beaver did not know his correct position in the queue, then it might be his turn to go get an ECG, or maybe he should wait for a long, long time...
As you've guessed, the Smart Beaver was in a hurry home, so he gave you all the necessary information for you to help him to determine what his number in the queue can be.
Input
The first line contains two integers n (1 ≤ n ≤ 103) and x (1 ≤ x ≤ n) — the number of beavers that stand in the queue and the Smart Beaver's number, correspondingly. All willing to get to the doctor are numbered from 1 to n.
The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ n) — the number of the beaver followed by the i-th beaver. If ai = 0, then the i-th beaver doesn't know who is should be in front of him. It is guaranteed that values ai are correct. That is there is no cycles in the dependencies. And any beaver is followed by at most one beaver in the queue.
The input limits for scoring 30 points are (subproblem B1):
* It is guaranteed that the number of zero elements ai doesn't exceed 20.
The input limits for scoring 100 points are (subproblems B1+B2):
* The number of zero elements ai is arbitrary.
Output
Print all possible positions of the Smart Beaver in the line in the increasing order.
Examples
Input
6 1
2 0 4 0 6 0
Output
2
4
6
Input
6 2
2 3 0 5 6 0
Output
2
5
Input
4 1
0 0 0 0
Output
1
2
3
4
Input
6 2
0 0 1 0 4 5
Output
1
3
4
6
Note
<image> Picture for the fourth test. | import java.util.*;
public class B {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int count = in.nextInt();
int me = in.nextInt()-1;
int[] map = new int[count];
int[] reverseMap = new int[count];
Arrays.fill(reverseMap,-1);
for(int i=0;i<count;++i) {
map[i] = in.nextInt()-1;
if (map[i] != -1) {
reverseMap[map[i]] = i;
}
}
HashMap<Integer, Integer> cycles = new HashMap<Integer, Integer>();
boolean[] done = new boolean[count];
boolean isUs = false;
int ourLength = 0;
int ourLoc = 0; // how many people are behind us?
// so our location from the front is ourLength-ourLoc, right? yes.
for(int i=0;i<count;++i) {
isUs = false;
if (done[i]) continue;
done[i] = true;
int cur = i;
if (reverseMap[i] == -1 && map[i] == -1) {
if (cur == me) {
ourLength = 1;
ourLoc = 0;
} else {
if (cycles.containsKey(1)) {
cycles.put(1,cycles.get(1)+1);
} else {
cycles.put(1,1);
}
}
} else {
while(reverseMap[cur] != -1) {
cur = reverseMap[cur];
}
int cycleLength = 1;
done[cur] = true;
if(cur == me) {
isUs = true;
ourLoc = 0;
}
while(map[cur] != -1) {
cur = map[cur];
done[cur] = true;
++cycleLength;
if(cur == me) {
isUs = true;
ourLoc = cycleLength-1;
}
}
if (isUs) {
ourLength = cycleLength;
} else {
if (cycles.containsKey(cycleLength)) {
cycles.put(cycleLength,cycles.get(cycleLength)+1);
} else {
cycles.put(cycleLength,1);
}
}
}
}
// shit two cases: we are at a 0 or we aren't.
// if we aren't at a 0 we need to know what cycle we're in
// now that we have all the cycles, we need to know what's possible
// System.err.println(ourLength + " " + ourLoc);
// System.err.println(cycles);
boolean[] dp = new boolean[count+1];
Arrays.fill(dp, false);
dp[0] = true;
for(int key : cycles.keySet()) {
for(int z=0;z<cycles.get(key);++z) {
for(int i=count;i>=key;--i) {
dp[i] = (dp[i]||dp[i-key]);
}
}
// System.err.println(Arrays.toString(dp));
}
for(int i=0;i<count;++i) {
if (dp[i]) {
System.out.println(i+(ourLength-ourLoc));
}
}
}
}
| 4JAVA
| {
"input": [
"6 2\n2 3 0 5 6 0\n",
"6 2\n0 0 1 0 4 5\n",
"6 1\n2 0 4 0 6 0\n",
"4 1\n0 0 0 0\n",
"20 20\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"10 4\n0 1 4 2 7 0 10 0 5 8\n",
"10 7\n10 8 6 5 0 0 0 4 3 9\n",
"10 1\n8 7 0 2 0 10 0 0 3 5\n",
"10 7\n7 9 2 10 0 0 0 3 5 1\n",
"10 2\n10 0 9 0 0 4 2 6 8 0\n",
"10 2\n0 7 0 10 8 0 4 2 3 0\n",
"10 4\n0 1 4 2 3 0 10 0 5 8\n",
"6 3\n0 0 1 0 4 5\n",
"6 1\n0 0 4 0 6 0\n",
"4 1\n0 1 0 0\n",
"10 4\n0 1 4 2 0 0 10 0 5 8\n",
"6 1\n0 0 4 1 6 0\n",
"10 2\n10 0 9 0 0 4 3 6 8 0\n",
"6 1\n0 1 4 0 6 0\n",
"6 1\n0 1 5 0 6 0\n",
"10 1\n8 6 0 2 0 10 0 0 3 5\n",
"6 1\n2 0 4 0 6 1\n",
"10 1\n0 1 4 2 0 0 10 0 5 8\n",
"10 4\n0 7 0 10 8 0 4 2 3 0\n",
"6 1\n3 0 4 0 6 0\n",
"6 1\n0 0 0 1 6 0\n",
"10 1\n8 6 1 2 0 10 0 0 3 5\n",
"10 1\n0 1 6 2 0 0 10 0 5 8\n",
"10 7\n0 7 0 10 8 0 4 2 3 0\n",
"10 1\n8 6 1 2 0 9 0 0 3 5\n",
"10 2\n10 0 9 1 0 4 2 6 8 0\n",
"10 2\n0 7 0 10 8 0 4 1 3 0\n",
"10 1\n0 7 0 10 8 0 4 0 3 0\n",
"6 1\n3 0 4 0 1 0\n",
"10 2\n0 6 0 10 8 0 4 1 3 0\n",
"10 3\n0 1 4 2 0 0 10 0 5 9\n",
"10 1\n10 0 5 1 0 4 2 6 8 0\n",
"20 20\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1\n",
"10 2\n10 0 5 0 0 4 3 6 8 0\n",
"6 1\n3 0 4 0 6 1\n",
"10 1\n0 1 4 0 0 0 10 0 5 8\n",
"6 1\n0 0 4 0 6 2\n",
"10 3\n10 0 9 1 0 4 2 6 8 0\n",
"10 1\n0 7 0 10 8 0 4 2 3 0\n",
"6 3\n0 0 1 0 2 5\n",
"6 1\n0 1 5 0 4 0\n",
"6 1\n0 0 1 0 4 5\n",
"6 1\n0 0 4 0 6 1\n",
"6 3\n0 0 1 0 2 0\n",
"6 1\n0 0 0 0 4 5\n",
"6 3\n0 0 0 0 2 0\n",
"6 2\n0 0 0 0 4 5\n",
"10 3\n0 1 4 2 0 0 10 0 5 8\n",
"10 1\n0 1 4 2 0 0 10 0 5 3\n",
"6 3\n0 0 1 0 4 0\n",
"6 3\n0 0 0 0 4 0\n",
"10 1\n10 0 9 1 0 4 2 6 8 0\n",
"10 1\n0 6 0 10 8 0 4 1 3 0\n",
"10 7\n7 0 2 10 0 0 0 3 5 1\n",
"6 1\n0 1 5 0 0 0\n",
"10 1\n8 6 0 2 0 10 0 0 3 1\n",
"10 1\n0 7 0 10 8 0 5 0 3 0\n",
"10 1\n0 0 4 2 0 0 10 0 5 3\n",
"6 1\n2 0 4 0 1 0\n",
"6 4\n0 0 0 0 4 0\n"
],
"output": [
"2\n5\n",
"1\n3\n4\n6\n",
"2\n4\n6\n",
"1\n2\n3\n4\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n",
"3\n4\n8\n9\n",
"1\n5\n6\n10\n",
"2\n4\n5\n7\n8\n10\n",
"1\n2\n6\n7\n",
"1\n2\n3\n4\n6\n7\n8\n9\n",
"4\n5\n6\n7\n8\n",
"3\n4\n6\n7\n",
"2\n3\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n",
"3\n4\n5\n6\n7\n8\n9\n",
"1\n2\n3\n4\n",
"1\n2\n3\n4\n7\n8\n9\n10\n",
"1\n3\n5\n",
"1\n2\n4\n5\n",
"2\n3\n4\n5\n7\n8\n9\n10\n",
"2\n4\n",
"1\n2\n3\n4\n5\n6\n7\n",
"2\n3\n4\n5\n6\n",
"3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n",
"2\n3\n7\n8\n",
"1\n3\n4\n5\n6\n8\n",
"3\n4\n5\n6\n7\n",
"2\n3\n4\n5\n",
"1\n2\n8\n9\n",
"4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"3\n4\n5\n",
"2\n4\n5\n7\n8\n10\n",
"4\n5\n6\n8\n9\n10\n",
"2\n4\n6\n",
"2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n",
"1\n3\n4\n5\n6\n7\n8\n10\n",
"3\n4\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n",
"1\n3\n4\n6\n",
"7\n8\n9\n10\n",
"1\n2\n3\n4\n7\n8\n9\n10\n",
"2\n3\n5\n6\n",
"1\n2\n4\n5\n",
"1\n2\n4\n5\n",
"1\n2\n3\n4\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n",
"2\n3\n4\n5\n",
"1\n3\n4\n5\n6\n8\n",
"1\n2\n3\n4\n5\n6\n7\n",
"1\n2\n3\n4\n5\n",
"2\n3\n4\n5\n6\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n",
"2\n3\n4\n5\n",
"1\n2\n3\n4\n5\n"
]
} | 2CODEFORCES
|
339_A. Helpful Maths_394 | Xenia the beginner mathematician is a third year student at elementary school. She is now learning the addition operation.
The teacher has written down the sum of multiple numbers. Pupils should calculate the sum. To make the calculation easier, the sum only contains numbers 1, 2 and 3. Still, that isn't enough for Xenia. She is only beginning to count, so she can calculate a sum only if the summands follow in non-decreasing order. For example, she can't calculate sum 1+3+2+1 but she can calculate sums 1+1+2 and 3+3.
You've got the sum that was written on the board. Rearrange the summans and print the sum in such a way that Xenia can calculate the sum.
Input
The first line contains a non-empty string s — the sum Xenia needs to count. String s contains no spaces. It only contains digits and characters "+". Besides, string s is a correct sum of numbers 1, 2 and 3. String s is at most 100 characters long.
Output
Print the new sum that Xenia can count.
Examples
Input
3+2+1
Output
1+2+3
Input
1+1+3+1+3
Output
1+1+1+3+3
Input
2
Output
2 | import sys
def readline():
return sys.stdin.readline().rstrip()
def solve():
s = map(int, readline().split('+'))
s.sort()
print '+'.join(map(str, s))
if __name__ == '__main__':
solve()
| 1Python2
| {
"input": [
"2\n",
"3+2+1\n",
"1+1+3+1+3\n",
"2+2+1+1+3\n",
"3+1\n",
"1+3\n",
"2+2+1+1+1+3+1+1+3+3+2+3+1+3+1+1+3+1+1+2+2+2+2+1+2+1+2+1+1+1+3+1+3+2+3+2+3+3+1+1+1+2+3+2+1+3+1+3+2+2\n",
"2+2\n",
"1+1\n",
"2+3+3+1+2+2+2+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+2+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+2+1+2+1+3+1+1\n",
"1\n",
"1+2+1+2+2+2+2+1+3+3\n",
"2+3\n",
"1+2\n",
"3+2\n",
"3+3\n",
"2+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+3+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+1+1\n",
"2+1+2+2+2+3+1+3+1+2\n",
"2+1\n",
"3+2+3+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+2+2+2+2+3+3+2+2+3+3+1+1+2+3+3+2+3+3+3\n",
"3\n",
"1+1+3+1+2+1+2+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+2+2+2+1+3+3+2\n",
"2+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+1+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+3+1\n",
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"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+2+2+2+2+2+2+3\n",
"1+1+1+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n"
]
} | 2CODEFORCES
|
339_A. Helpful Maths_395 | Xenia the beginner mathematician is a third year student at elementary school. She is now learning the addition operation.
The teacher has written down the sum of multiple numbers. Pupils should calculate the sum. To make the calculation easier, the sum only contains numbers 1, 2 and 3. Still, that isn't enough for Xenia. She is only beginning to count, so she can calculate a sum only if the summands follow in non-decreasing order. For example, she can't calculate sum 1+3+2+1 but she can calculate sums 1+1+2 and 3+3.
You've got the sum that was written on the board. Rearrange the summans and print the sum in such a way that Xenia can calculate the sum.
Input
The first line contains a non-empty string s — the sum Xenia needs to count. String s contains no spaces. It only contains digits and characters "+". Besides, string s is a correct sum of numbers 1, 2 and 3. String s is at most 100 characters long.
Output
Print the new sum that Xenia can count.
Examples
Input
3+2+1
Output
1+2+3
Input
1+1+3+1+3
Output
1+1+1+3+3
Input
2
Output
2 | #include <bits/stdc++.h>
using namespace std;
int main() {
string s, x, z;
cin >> s;
for (int i = 0; i < s.size(); i++) {
if (s[i] == '+') {
continue;
}
for (int j = 0; j < s.size(); j++) {
if (s[j] == '+') {
continue;
}
if (s[i] < s[j]) {
swap(s[j], s[i]);
}
}
}
for (int i = 0; i < s.size(); i++) {
cout << s[i];
}
return 0;
}
| 2C++
| {
"input": [
"2\n",
"3+2+1\n",
"1+1+3+1+3\n",
"2+2+1+1+3\n",
"3+1\n",
"1+3\n",
"2+2+1+1+1+3+1+1+3+3+2+3+1+3+1+1+3+1+1+2+2+2+2+1+2+1+2+1+1+1+3+1+3+2+3+2+3+3+1+1+1+2+3+2+1+3+1+3+2+2\n",
"2+2\n",
"1+1\n",
"2+3+3+1+2+2+2+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+2+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+2+1+2+1+3+1+1\n",
"1\n",
"1+2+1+2+2+2+2+1+3+3\n",
"2+3\n",
"1+2\n",
"3+2\n",
"3+3\n",
"2+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+3+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+1+1\n",
"2+1+2+2+2+3+1+3+1+2\n",
"2+1\n",
"3+2+3+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+2+2+2+2+3+3+2+2+3+3+1+1+2+3+3+2+3+3+3\n",
"3\n",
"1+1+3+1+2+1+2+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+2+2+2+1+3+3+2\n",
"2+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+1+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+3+1\n",
"3+2+3+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+3+1+1+2+3+3+2+3+3+3\n",
"3+3+1\n",
"3+1+3+1+1\n",
"3+2+2+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+3+1+1+2+3+3+2+3+3+3\n",
"3+2+2+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+2+3+3+2+3+3+3\n",
"3+1+1+2+2\n",
"2+2+1+1+1+3+1+1+3+3+2+3+1+3+1+1+3+1+1+2+2+2+2+1+2+1+2+1+1+1+3+1+3+2+3+3+3+3+1+1+1+2+3+2+1+3+1+3+2+2\n",
"2+3+3+1+2+2+1+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+2+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+2+1+2+1+3+1+1\n",
"2+1+3+1+3+2+2+2+1+2\n",
"3+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+1+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+3+1\n",
"2+2+2+1+3\n",
"2+2+1+1+1+3+1+1+3+3+2+3+1+3+1+1+3+1+1+2+2+2+2+1+2+1+2+1+1+1+3+1+3+2+3+3+3+3+1+1+1+2+3+2+2+3+1+3+2+2\n",
"1+1+3+1+2+1+1+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+1+2+2+1+3+3+2\n",
"2+2+3+1+3+1+2+3+2+1+1+1+3+3+2+3+2+3+1+3+1+1+1+2+1+2+1+2+2+2+2+1+1+3+1+1+3+1+3+2+3+3+1+1+3+1+1+1+2+2\n",
"1+2+3\n",
"2+1+2+1+3+2+2+2+1+2\n",
"2+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+2+3+3+1+1+3+1+2+3+2+2+1+1+2+2+1+2+3+2+3+2+1+3+3+2+2+1+2+2+3+2+2+3\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+1+1+2+1+3+1+1+3+3+3+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"3+2+2+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+3+2+2+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+2+3+3+2+3+3+2\n",
"1+1+3+1+2+1+1+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+3+3+3+2+2+3+1+2+1+1+1+2+2+1+3+3+2\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+1+1+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"1+1+3+1+2+1+2+2+2+2+2+1+3+3+3+1+1+2+3+2+3+1+1+3+3+3+2+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+2+2+2+1+3+3+2\n",
"1+1+3+1+2+1+2+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+2+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+2+2+2+1+3+3+2\n",
"1+1+3+1+2+1+2+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+3+1+1+2+2+2+1+3+3+2\n",
"2+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+2+3+3+2+1+3+1+2+3+2+2+1+1+2+2+1+2+3+2+3+2+1+3+3+2+2+1+2+2+3+2+2+3\n",
"3+2+2+3+3+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+1+1+2+1+3+1+1+3+3+3+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+1+1+2+1+3+1+1+3+3+2+2+2+3+2+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"3+2+2+3+2+2+1+2+1+3+3+3+2+3+2+3+2+1+2+2+1+3+2+2+1+2+1+3+1+1+3+3+2+2+2+3+3+2+3+3+2+1+1+2+3+3+2+3+3+2\n",
"3+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+2+3+3+2+1+3+1+2+3+2+2+1+1+2+2+1+2+3+2+3+2+1+3+3+2+2+1+2+2+3+2+2+3\n",
"3+2+3+3+3+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+1+1+2+1+3+1+1+3+3+3+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"3+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+2+3+3+2+1+3+2+2+3+2+2+1+1+2+2+1+2+3+2+3+2+1+3+3+2+2+1+2+2+3+2+2+3\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+2+3+3+2+3+3+2\n",
"1+1+3+1+2+1+2+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+1+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+2+2+2+1+3+3+2\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"1+1+3+1+2+1+2+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+1+2+2+1+3+3+2\n",
"2+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+2+3+3+1+1+3+1+2+3+2+2+1+1+2+2+1+2+3+2+3+2+1+3+3+1+2+1+2+2+3+2+2+3\n",
"2+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+2+3+3+1+1+3+1+2+1+2+2+3+1+2+2+1+2+3+2+3+2+1+3+3+1+2+1+2+2+3+2+2+3\n",
"2+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+3+3+3+1+1+3+1+2+1+2+2+3+1+2+2+1+2+3+2+3+2+1+3+3+1+2+1+2+2+3+2+2+3\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+2+1+2+1+3+1+1+3+3+3+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"2+3+3+1+2+2+2+1+2+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+2+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+1+1+2+1+3+1+1\n",
"3+3+3+2+3+3+2+1+1+3+3+2+2+3+3+2+2+2+3+3+1+1+3+1+2+3+2+2+1+1+2+2+1+2+3+2+3+2+1+3+2+1+2+1+2+2+3+3+2+3\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+1+3+2+2+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+2+3+3+2+3+3+2\n",
"2+3+3+1+2+2+2+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+1+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+2+1+2+1+3+1+1\n",
"1+3+3+2+2+2+2+1+2+1+3+3+3+1+3+1+2+2+2+1+2+1+2+1+2+2+2+3+2+2+3+3+3+1+1+3+2+2+1+2+1+1+3+2+3+1+2+2+1+3\n",
"3+1+2+2+2\n",
"2+3+3+1+2+2+1+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+2+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+1+1+2+1+3+1+1\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+2+1+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"2+3+3+2+3+3+1+1+1+2+3+2+2+3+3+2+2+3+3+3+1+1+3+1+2+1+2+2+3+1+2+2+1+2+3+2+3+2+3+3+3+1+2+1+2+2+3+2+2+3\n",
"2+3+3+1+2+2+2+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+1+1+3+2+3+2+1+1+3+3+3+1+2+2+2+2+2+1+2+1+3+1+1\n",
"3+2+2+3+2+2+1+2+2+3+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"2+3+3+2+3+3+1+1+1+2+3+2+2+3+3+2+2+2+3+3+1+1+3+1+2+1+2+2+3+1+2+2+1+2+3+2+3+2+3+3+3+1+2+1+2+2+3+2+2+3\n",
"1+1+3+1+2+1+2+2+2+2+2+1+3+3+3+1+1+2+3+2+3+1+1+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+2+2+2+1+3+3+2\n",
"2+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+2+3+3+1+1+3+1+2+1+1+2+3+1+2+2+1+2+3+2+3+2+1+3+3+1+2+1+2+2+3+2+2+3\n",
"3+2+2+3+2+2+1+2+1+3+3+3+2+3+2+3+2+1+2+2+1+3+2+2+1+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+1+3+3+2+3+3+2\n",
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"1+2+2+2+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+2+2+2+2+2+2+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+2+2+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+2+2+2+2+2+2+3\n",
"1+1+2+2+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+2+2+2+2+2+2+3\n",
"1+1+1+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n"
]
} | 2CODEFORCES
|
339_A. Helpful Maths_396 | Xenia the beginner mathematician is a third year student at elementary school. She is now learning the addition operation.
The teacher has written down the sum of multiple numbers. Pupils should calculate the sum. To make the calculation easier, the sum only contains numbers 1, 2 and 3. Still, that isn't enough for Xenia. She is only beginning to count, so she can calculate a sum only if the summands follow in non-decreasing order. For example, she can't calculate sum 1+3+2+1 but she can calculate sums 1+1+2 and 3+3.
You've got the sum that was written on the board. Rearrange the summans and print the sum in such a way that Xenia can calculate the sum.
Input
The first line contains a non-empty string s — the sum Xenia needs to count. String s contains no spaces. It only contains digits and characters "+". Besides, string s is a correct sum of numbers 1, 2 and 3. String s is at most 100 characters long.
Output
Print the new sum that Xenia can count.
Examples
Input
3+2+1
Output
1+2+3
Input
1+1+3+1+3
Output
1+1+1+3+3
Input
2
Output
2 | x=input()
x=x.replace("+","")
x=sorted(x)
for i in range(1,2*len(x)-1,2):
x.insert(i,"+")
x=''.join(x)
print(x)
| 3Python3
| {
"input": [
"2\n",
"3+2+1\n",
"1+1+3+1+3\n",
"2+2+1+1+3\n",
"3+1\n",
"1+3\n",
"2+2+1+1+1+3+1+1+3+3+2+3+1+3+1+1+3+1+1+2+2+2+2+1+2+1+2+1+1+1+3+1+3+2+3+2+3+3+1+1+1+2+3+2+1+3+1+3+2+2\n",
"2+2\n",
"1+1\n",
"2+3+3+1+2+2+2+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+2+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+2+1+2+1+3+1+1\n",
"1\n",
"1+2+1+2+2+2+2+1+3+3\n",
"2+3\n",
"1+2\n",
"3+2\n",
"3+3\n",
"2+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+3+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+1+1\n",
"2+1+2+2+2+3+1+3+1+2\n",
"2+1\n",
"3+2+3+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+2+2+2+2+3+3+2+2+3+3+1+1+2+3+3+2+3+3+3\n",
"3\n",
"1+1+3+1+2+1+2+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+2+2+2+1+3+3+2\n",
"2+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+1+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+3+1\n",
"3+2+3+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+3+1+1+2+3+3+2+3+3+3\n",
"3+3+1\n",
"3+1+3+1+1\n",
"3+2+2+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+3+1+1+2+3+3+2+3+3+3\n",
"3+2+2+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+2+3+3+2+3+3+3\n",
"3+1+1+2+2\n",
"2+2+1+1+1+3+1+1+3+3+2+3+1+3+1+1+3+1+1+2+2+2+2+1+2+1+2+1+1+1+3+1+3+2+3+3+3+3+1+1+1+2+3+2+1+3+1+3+2+2\n",
"2+3+3+1+2+2+1+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+2+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+2+1+2+1+3+1+1\n",
"2+1+3+1+3+2+2+2+1+2\n",
"3+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+1+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+3+1\n",
"2+2+2+1+3\n",
"2+2+1+1+1+3+1+1+3+3+2+3+1+3+1+1+3+1+1+2+2+2+2+1+2+1+2+1+1+1+3+1+3+2+3+3+3+3+1+1+1+2+3+2+2+3+1+3+2+2\n",
"1+1+3+1+2+1+1+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+1+2+2+1+3+3+2\n",
"2+2+3+1+3+1+2+3+2+1+1+1+3+3+2+3+2+3+1+3+1+1+1+2+1+2+1+2+2+2+2+1+1+3+1+1+3+1+3+2+3+3+1+1+3+1+1+1+2+2\n",
"1+2+3\n",
"2+1+2+1+3+2+2+2+1+2\n",
"2+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+2+3+3+1+1+3+1+2+3+2+2+1+1+2+2+1+2+3+2+3+2+1+3+3+2+2+1+2+2+3+2+2+3\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+1+1+2+1+3+1+1+3+3+3+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"3+2+2+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+3+2+2+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+2+3+3+2+3+3+2\n",
"1+1+3+1+2+1+1+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+3+3+3+2+2+3+1+2+1+1+1+2+2+1+3+3+2\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+1+1+2+1+3+1+1+3+3+2+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"1+1+3+1+2+1+2+2+2+2+2+1+3+3+3+1+1+2+3+2+3+1+1+3+3+3+2+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+2+2+2+1+3+3+2\n",
"1+1+3+1+2+1+2+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+2+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+2+1+1+2+2+2+1+3+3+2\n",
"1+1+3+1+2+1+2+2+1+2+2+1+3+3+3+1+1+2+3+2+3+1+2+3+3+3+1+1+1+3+3+3+2+2+3+3+2+2+3+1+3+1+1+2+2+2+1+3+3+2\n",
"2+3+3+2+3+3+3+1+1+2+3+2+2+3+3+2+2+2+3+3+2+1+3+1+2+3+2+2+1+1+2+2+1+2+3+2+3+2+1+3+3+2+2+1+2+2+3+2+2+3\n",
"3+2+2+3+3+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+1+1+2+1+3+1+1+3+3+3+2+2+3+3+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"3+2+2+3+2+2+1+2+1+3+3+1+2+3+2+3+2+1+2+2+1+3+2+1+1+2+1+3+1+1+3+3+2+2+2+3+2+2+2+3+2+1+1+3+3+3+2+3+3+2\n",
"3+2+2+3+2+2+1+2+1+3+3+3+2+3+2+3+2+1+2+2+1+3+2+2+1+2+1+3+1+1+3+3+2+2+2+3+3+2+3+3+2+1+1+2+3+3+2+3+3+2\n",
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"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+2+2+2+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+2+2+2+2+2+2+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+2+2+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+2+2+2+2+2+2+3\n",
"1+1+2+2+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+2+2+2+2+2+2+3\n",
"1+1+1+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n"
]
} | 2CODEFORCES
|
339_A. Helpful Maths_397 | Xenia the beginner mathematician is a third year student at elementary school. She is now learning the addition operation.
The teacher has written down the sum of multiple numbers. Pupils should calculate the sum. To make the calculation easier, the sum only contains numbers 1, 2 and 3. Still, that isn't enough for Xenia. She is only beginning to count, so she can calculate a sum only if the summands follow in non-decreasing order. For example, she can't calculate sum 1+3+2+1 but she can calculate sums 1+1+2 and 3+3.
You've got the sum that was written on the board. Rearrange the summans and print the sum in such a way that Xenia can calculate the sum.
Input
The first line contains a non-empty string s — the sum Xenia needs to count. String s contains no spaces. It only contains digits and characters "+". Besides, string s is a correct sum of numbers 1, 2 and 3. String s is at most 100 characters long.
Output
Print the new sum that Xenia can count.
Examples
Input
3+2+1
Output
1+2+3
Input
1+1+3+1+3
Output
1+1+1+3+3
Input
2
Output
2 | import java.util.ArrayList;
import java.util.List;
import java.util.Collections;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
List<Integer> chao = new ArrayList<>();
Scanner sc = new Scanner(System.in);
int i,b,f,x=0;
String a;
char c;
a = sc.next();
b = a.length();
for(i=0;i<b;i++){
c = a.charAt(i);
if(c!='+'){
chao.add((int)c);
x++;
}
}
Collections.sort(chao);
for(i=0;i<x;i++){
f=chao.get(i);
System.out.print((char)f);
if(i!=(x-1)){
System.out.print("+");
}
}
}
}
| 4JAVA
| {
"input": [
"2\n",
"3+2+1\n",
"1+1+3+1+3\n",
"2+2+1+1+3\n",
"3+1\n",
"1+3\n",
"2+2+1+1+1+3+1+1+3+3+2+3+1+3+1+1+3+1+1+2+2+2+2+1+2+1+2+1+1+1+3+1+3+2+3+2+3+3+1+1+1+2+3+2+1+3+1+3+2+2\n",
"2+2\n",
"1+1\n",
"2+3+3+1+2+2+2+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+2+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+2+1+2+1+3+1+1\n",
"1\n",
"1+2+1+2+2+2+2+1+3+3\n",
"2+3\n",
"1+2\n",
"3+2\n",
"3+3\n",
"2+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+3+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+1+1\n",
"2+1+2+2+2+3+1+3+1+2\n",
"2+1\n",
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"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+2+2+2+2+2+2+3\n",
"1+1+1+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n",
"1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3\n"
]
} | 2CODEFORCES
|
361_C. Levko and Array Recovery_398 | Levko loves array a1, a2, ... , an, consisting of integers, very much. That is why Levko is playing with array a, performing all sorts of operations with it. Each operation Levko performs is of one of two types:
1. Increase all elements from li to ri by di. In other words, perform assignments aj = aj + di for all j that meet the inequation li ≤ j ≤ ri.
2. Find the maximum of elements from li to ri. That is, calculate the value <image>.
Sadly, Levko has recently lost his array. Fortunately, Levko has records of all operations he has performed on array a. Help Levko, given the operation records, find at least one suitable array. The results of all operations for the given array must coincide with the record results. Levko clearly remembers that all numbers in his array didn't exceed 109 in their absolute value, so he asks you to find such an array.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 5000) — the size of the array and the number of operations in Levko's records, correspondingly.
Next m lines describe the operations, the i-th line describes the i-th operation. The first integer in the i-th line is integer ti (1 ≤ ti ≤ 2) that describes the operation type. If ti = 1, then it is followed by three integers li, ri and di (1 ≤ li ≤ ri ≤ n, - 104 ≤ di ≤ 104) — the description of the operation of the first type. If ti = 2, then it is followed by three integers li, ri and mi (1 ≤ li ≤ ri ≤ n, - 5·107 ≤ mi ≤ 5·107) — the description of the operation of the second type.
The operations are given in the order Levko performed them on his array.
Output
In the first line print "YES" (without the quotes), if the solution exists and "NO" (without the quotes) otherwise.
If the solution exists, then on the second line print n integers a1, a2, ... , an (|ai| ≤ 109) — the recovered array.
Examples
Input
4 5
1 2 3 1
2 1 2 8
2 3 4 7
1 1 3 3
2 3 4 8
Output
YES
4 7 4 7
Input
4 5
1 2 3 1
2 1 2 8
2 3 4 7
1 1 3 3
2 3 4 13
Output
NO | #include <bits/stdc++.h>
using namespace std;
const int maxn = 5000 + 10;
int a[maxn];
int b[maxn];
int c[maxn];
int cnt[maxn];
int n, m;
bool mark[maxn];
int q[maxn][5];
bool Bomb;
int main() {
cin >> n >> m;
for (int i = 1; i <= m; i++) {
cin >> q[i][1];
if (q[i][1] == 1) {
cin >> q[i][2] >> q[i][3] >> q[i][4];
for (int j = q[i][2]; j <= q[i][3]; j++) cnt[j] += q[i][4];
} else {
cin >> q[i][2] >> q[i][3] >> q[i][4];
bool flag = 0;
for (int j = q[i][2]; j <= q[i][3]; j++) {
if (!mark[j]) {
flag = true;
a[j] = q[i][4] - cnt[j];
b[j] = q[i][4];
mark[j] = true;
cnt[j] = 0;
} else {
if (cnt[j] + b[j] >= q[i][4]) {
flag = true;
int t = b[j] + cnt[j];
t -= q[i][4];
a[j] -= t;
b[j] = q[i][4];
} else
b[j] += cnt[j];
cnt[j] = 0;
}
}
if (!flag) Bomb = true;
}
}
for (int i = 1; i <= n; i++) c[i] = a[i];
if (Bomb) {
cout << "NO";
return 0;
} else {
for (int i = 1; i <= m; i++) {
if (q[i][1] == 1)
for (int j = q[i][2]; j <= q[i][3]; j++) a[j] += q[i][4];
else {
int mx = -1000000001;
for (int j = q[i][2]; j <= q[i][3]; j++) mx = max(mx, a[j]);
if (mx != q[i][4]) Bomb = true;
}
}
if (Bomb) {
cout << "NO";
return 0;
} else {
bool F = 0;
for (int i = 1; i <= n; i++)
if (c[i] > 1000000000 || c[i] < -1000000000) F = true;
if (F) {
cout << "NO";
return 0;
}
cout << "YES" << endl;
for (int i = 1; i <= n; i++) cout << c[i] << " ";
}
}
}
| 2C++
| {
"input": [
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 13\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"1 4\n1 1 1 2\n2 1 1 6\n1 1 1 1\n2 1 1 7\n",
"2 2\n2 1 2 8\n2 1 2 7\n",
"97 29\n2 78 82 356152\n2 14 29 430177\n1 59 84 3680\n1 49 89 -2247\n1 92 96 3701\n2 54 89 377271\n1 62 70 -507\n2 94 97 431563\n1 46 55 -9257\n1 51 83 1627\n1 10 20 6633\n1 17 34 -9263\n2 66 92 383251\n1 12 82 3884\n1 78 96 -5379\n2 13 35 424798\n1 68 91 2939\n2 80 84 214725\n1 61 85 -4390\n1 85 96 3106\n2 17 25 424798\n1 91 93 7298\n2 32 94 429290\n2 20 74 427777\n1 56 87 -4571\n2 71 91 351695\n1 45 64 2697\n2 20 40 427777\n1 60 96 -3025\n",
"1 2\n2 1 1 2\n2 1 1 1\n",
"3 2\n2 1 2 100\n2 1 3 50\n",
"1 2\n2 1 1 5\n2 1 1 1\n",
"1 2\n2 1 1 10\n2 1 1 5\n",
"2 2\n2 1 1 10\n2 1 2 5\n",
"1 4\n1 1 1 2\n2 1 1 6\n1 1 1 1\n2 1 1 8\n",
"1 1\n2 1 1 40000000\n",
"1 2\n2 1 1 8\n2 1 1 7\n",
"1 2\n2 1 1 1\n2 1 1 0\n",
"2 2\n2 1 2 16\n2 1 2 7\n",
"1 2\n1 1 1 10\n2 1 1 5\n",
"6 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"6 5\n1 2 3 1\n2 1 2 8\n2 3 5 7\n1 1 3 3\n2 3 4 8\n",
"4 5\n1 2 3 1\n2 2 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"1 2\n1 1 1 2\n2 1 1 5\n",
"1 2\n2 1 1 1\n1 1 1 0\n",
"1 2\n1 1 1 0\n2 1 1 5\n",
"6 5\n1 2 3 1\n2 2 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"97 29\n2 78 82 356152\n2 14 29 430177\n1 59 84 3680\n1 49 89 -3340\n1 92 96 3701\n2 54 89 377271\n1 62 70 -507\n2 94 97 431563\n1 46 55 -9257\n1 51 83 1627\n1 10 20 6633\n1 17 34 -9263\n2 66 92 383251\n1 12 82 3884\n1 78 96 -5379\n2 13 35 424798\n1 68 91 2939\n2 80 84 214725\n1 61 85 -4390\n1 85 96 3106\n2 17 25 424798\n1 91 93 7298\n2 32 94 429290\n2 20 74 427777\n1 56 87 -4571\n2 71 91 351695\n1 45 64 2697\n2 20 40 427777\n1 60 96 -3025\n",
"1 2\n2 1 1 0\n2 1 1 0\n",
"6 5\n1 2 3 1\n2 1 2 8\n2 3 5 7\n1 1 3 3\n2 3 6 8\n",
"97 29\n2 78 82 356152\n2 14 29 430177\n1 59 84 3680\n1 49 89 -2247\n1 92 96 3701\n2 54 89 377271\n1 62 70 -507\n2 94 97 431563\n1 46 55 -9257\n1 51 83 1627\n1 10 20 6633\n1 17 34 -9263\n2 66 92 383251\n1 12 82 3884\n1 78 96 -5379\n2 13 35 424798\n1 68 91 2939\n2 80 84 214725\n1 61 85 -4390\n1 85 96 3106\n2 17 25 424798\n1 91 93 7298\n2 32 94 429290\n2 20 29 427777\n1 56 87 -4571\n2 71 91 351695\n1 45 64 2697\n2 20 40 427777\n1 60 96 -3025\n",
"1 2\n2 1 0 2\n2 1 1 1\n",
"2 2\n2 1 1 9\n2 1 2 5\n",
"1 2\n2 2 1 1\n2 1 1 0\n",
"4 5\n1 2 3 1\n4 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 13\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 2 8\n",
"1 4\n1 1 1 2\n2 1 1 4\n1 1 1 1\n2 1 1 7\n",
"1 2\n2 1 1 2\n2 2 1 1\n",
"1 2\n2 2 1 5\n2 1 1 1\n",
"2 2\n2 2 1 10\n2 1 2 5\n",
"1 4\n1 1 1 2\n2 1 1 6\n0 1 1 1\n2 1 1 8\n",
"1 2\n2 2 1 1\n2 2 1 0\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 0 3\n2 3 4 13\n",
"2 2\n2 1 2 15\n2 1 2 7\n",
"1 2\n2 1 0 2\n0 1 1 1\n",
"3 2\n2 1 1 9\n2 1 2 5\n",
"6 5\n2 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"4 5\n1 2 3 1\n4 1 2 8\n2 3 4 7\n1 2 3 3\n2 3 4 13\n",
"4 5\n1 3 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 2 8\n",
"1 4\n1 1 1 2\n2 1 0 4\n1 1 1 1\n2 1 1 7\n",
"1 4\n1 1 1 2\n2 1 0 6\n0 1 1 1\n2 1 1 8\n",
"4 5\n1 2 3 1\n2 2 2 8\n2 3 4 7\n1 1 2 3\n2 3 4 8\n",
"6 5\n2 2 3 1\n2 2 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"5 5\n1 3 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 2 8\n",
"1 4\n1 2 1 2\n2 1 0 4\n1 1 1 1\n2 1 1 7\n",
"1 2\n1 2 1 0\n2 1 1 5\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 16\n",
"1 4\n1 1 1 2\n2 1 1 3\n1 1 1 1\n2 1 1 7\n",
"2 2\n2 2 2 8\n2 1 2 7\n",
"1 4\n1 1 1 2\n2 1 1 6\n1 2 1 1\n2 1 1 8\n",
"1 2\n2 1 1 8\n2 1 1 11\n",
"97 29\n2 78 82 356152\n2 14 29 430177\n1 59 84 3680\n1 49 89 -2247\n1 92 96 3701\n2 54 89 377271\n1 62 70 -507\n2 94 97 431563\n1 46 55 -9257\n1 51 83 1627\n1 10 20 6633\n1 17 34 -9263\n2 66 92 383251\n1 12 82 3884\n1 78 96 -5379\n2 13 35 424798\n1 68 91 2939\n2 80 84 214725\n1 61 85 -4390\n1 85 96 3106\n2 17 25 424798\n1 91 93 7298\n2 32 94 429290\n2 20 29 427777\n1 56 87 -4571\n2 71 91 218453\n1 45 64 2697\n2 20 40 427777\n1 60 96 -3025\n",
"1 2\n2 1 0 2\n3 1 1 1\n",
"6 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 0\n2 3 4 8\n",
"4 5\n2 2 3 1\n4 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 13\n",
"1 2\n2 1 0 2\n2 2 1 1\n",
"1 2\n2 2 1 1\n4 2 1 0\n",
"4 5\n1 2 3 1\n2 1 2 14\n2 3 4 7\n1 1 0 3\n2 3 4 13\n"
],
"output": [
"YES\n8 7 4 7 ",
"NO\n",
"YES\n8 7 4 7 ",
"YES\n4 ",
"NO\n",
"YES\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 414281 414281 414281 414281 423544 423544 423544 423544 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 420914 423893 423893 423893 423893 423893 423893 423893 423893 423893 423893 433150 433150 433150 435397 435397 433770 433770 433770 379518 379518 379518 379518 379518 375838 375838 375838 375838 375838 375838 375838 375838 375838 375838 375838 375838 350773 350773 350773 350773 350773 350773 350773 356152 356152 210221 210221 210221 214105 215732 362237 357847 357847 353276 353276 351029 343731 379550 420564 427862 427862 427862 431563 ",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n40000000 ",
"NO\n",
"NO\n",
"NO\n",
"YES\n-5\n",
"YES\n8 7 4 7 1000000000 1000000000\n",
"YES\n8 7 4 7 7 1000000000\n",
"YES\n1000000000 7 4 7\n",
"YES\n3\n",
"YES\n1\n",
"YES\n5\n",
"YES\n1000000000 7 4 7 1000000000 1000000000\n",
"YES\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 414281 414281 414281 414281 423544 423544 423544 423544 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 420914 423893 423893 423893 423893 423893 423893 423893 423893 423893 423893 433150 433150 433150 436490 436490 434863 434863 434863 380611 380611 380611 380611 380611 376931 376931 376931 376931 376931 376931 376931 376931 376931 376931 376931 376931 351866 351866 351866 351866 351866 351866 351866 356152 356152 211314 211314 211314 215198 216825 363330 358940 358940 354369 354369 351029 343731 379550 420564 427862 427862 427862 431563\n",
"YES\n0\n",
"YES\n8 7 4 7 7 8\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n5\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n"
]
} | 2CODEFORCES
|
361_C. Levko and Array Recovery_399 | Levko loves array a1, a2, ... , an, consisting of integers, very much. That is why Levko is playing with array a, performing all sorts of operations with it. Each operation Levko performs is of one of two types:
1. Increase all elements from li to ri by di. In other words, perform assignments aj = aj + di for all j that meet the inequation li ≤ j ≤ ri.
2. Find the maximum of elements from li to ri. That is, calculate the value <image>.
Sadly, Levko has recently lost his array. Fortunately, Levko has records of all operations he has performed on array a. Help Levko, given the operation records, find at least one suitable array. The results of all operations for the given array must coincide with the record results. Levko clearly remembers that all numbers in his array didn't exceed 109 in their absolute value, so he asks you to find such an array.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 5000) — the size of the array and the number of operations in Levko's records, correspondingly.
Next m lines describe the operations, the i-th line describes the i-th operation. The first integer in the i-th line is integer ti (1 ≤ ti ≤ 2) that describes the operation type. If ti = 1, then it is followed by three integers li, ri and di (1 ≤ li ≤ ri ≤ n, - 104 ≤ di ≤ 104) — the description of the operation of the first type. If ti = 2, then it is followed by three integers li, ri and mi (1 ≤ li ≤ ri ≤ n, - 5·107 ≤ mi ≤ 5·107) — the description of the operation of the second type.
The operations are given in the order Levko performed them on his array.
Output
In the first line print "YES" (without the quotes), if the solution exists and "NO" (without the quotes) otherwise.
If the solution exists, then on the second line print n integers a1, a2, ... , an (|ai| ≤ 109) — the recovered array.
Examples
Input
4 5
1 2 3 1
2 1 2 8
2 3 4 7
1 1 3 3
2 3 4 8
Output
YES
4 7 4 7
Input
4 5
1 2 3 1
2 1 2 8
2 3 4 7
1 1 3 3
2 3 4 13
Output
NO | 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")
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
INF = 10 ** 18
MOD = 10**9+7
Ri = lambda : [int(x) for x in sys.stdin.readline().split()]
ri = lambda : sys.stdin.readline().strip()
n,m = Ri()
lis = []
for i in range(m):
lis.append(Ri())
ans = [10**9]*n
for i in range(m-1,-1,-1):
if lis[i][0] == 2:
for j in range(lis[i][1]-1,lis[i][2]):
ans[j] = min(ans[j], lis[i][3])
else:
for j in range(lis[i][1]-1,lis[i][2]):
if ans[j] != 10**9:
ans[j]-=lis[i][3]
for i in range(n):
if ans[i] == 10**9:
ans[i] = -10**9
temp = ans[:]
# print(temp)
flag = True
for i in range(m):
if lis[i][0] == 2:
t= -10**9
for j in range(lis[i][1]-1,lis[i][2]):
t = max(t, temp[j])
if t != lis[i][3]:
flag = False
break
else:
for j in range(lis[i][1]-1,lis[i][2]):
temp[j]+=lis[i][3]
# print(temp, ans)
if flag :
YES()
print(*ans)
else:
NO()
# print(-1) | 3Python3
| {
"input": [
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 13\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"1 4\n1 1 1 2\n2 1 1 6\n1 1 1 1\n2 1 1 7\n",
"2 2\n2 1 2 8\n2 1 2 7\n",
"97 29\n2 78 82 356152\n2 14 29 430177\n1 59 84 3680\n1 49 89 -2247\n1 92 96 3701\n2 54 89 377271\n1 62 70 -507\n2 94 97 431563\n1 46 55 -9257\n1 51 83 1627\n1 10 20 6633\n1 17 34 -9263\n2 66 92 383251\n1 12 82 3884\n1 78 96 -5379\n2 13 35 424798\n1 68 91 2939\n2 80 84 214725\n1 61 85 -4390\n1 85 96 3106\n2 17 25 424798\n1 91 93 7298\n2 32 94 429290\n2 20 74 427777\n1 56 87 -4571\n2 71 91 351695\n1 45 64 2697\n2 20 40 427777\n1 60 96 -3025\n",
"1 2\n2 1 1 2\n2 1 1 1\n",
"3 2\n2 1 2 100\n2 1 3 50\n",
"1 2\n2 1 1 5\n2 1 1 1\n",
"1 2\n2 1 1 10\n2 1 1 5\n",
"2 2\n2 1 1 10\n2 1 2 5\n",
"1 4\n1 1 1 2\n2 1 1 6\n1 1 1 1\n2 1 1 8\n",
"1 1\n2 1 1 40000000\n",
"1 2\n2 1 1 8\n2 1 1 7\n",
"1 2\n2 1 1 1\n2 1 1 0\n",
"2 2\n2 1 2 16\n2 1 2 7\n",
"1 2\n1 1 1 10\n2 1 1 5\n",
"6 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"6 5\n1 2 3 1\n2 1 2 8\n2 3 5 7\n1 1 3 3\n2 3 4 8\n",
"4 5\n1 2 3 1\n2 2 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"1 2\n1 1 1 2\n2 1 1 5\n",
"1 2\n2 1 1 1\n1 1 1 0\n",
"1 2\n1 1 1 0\n2 1 1 5\n",
"6 5\n1 2 3 1\n2 2 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"97 29\n2 78 82 356152\n2 14 29 430177\n1 59 84 3680\n1 49 89 -3340\n1 92 96 3701\n2 54 89 377271\n1 62 70 -507\n2 94 97 431563\n1 46 55 -9257\n1 51 83 1627\n1 10 20 6633\n1 17 34 -9263\n2 66 92 383251\n1 12 82 3884\n1 78 96 -5379\n2 13 35 424798\n1 68 91 2939\n2 80 84 214725\n1 61 85 -4390\n1 85 96 3106\n2 17 25 424798\n1 91 93 7298\n2 32 94 429290\n2 20 74 427777\n1 56 87 -4571\n2 71 91 351695\n1 45 64 2697\n2 20 40 427777\n1 60 96 -3025\n",
"1 2\n2 1 1 0\n2 1 1 0\n",
"6 5\n1 2 3 1\n2 1 2 8\n2 3 5 7\n1 1 3 3\n2 3 6 8\n",
"97 29\n2 78 82 356152\n2 14 29 430177\n1 59 84 3680\n1 49 89 -2247\n1 92 96 3701\n2 54 89 377271\n1 62 70 -507\n2 94 97 431563\n1 46 55 -9257\n1 51 83 1627\n1 10 20 6633\n1 17 34 -9263\n2 66 92 383251\n1 12 82 3884\n1 78 96 -5379\n2 13 35 424798\n1 68 91 2939\n2 80 84 214725\n1 61 85 -4390\n1 85 96 3106\n2 17 25 424798\n1 91 93 7298\n2 32 94 429290\n2 20 29 427777\n1 56 87 -4571\n2 71 91 351695\n1 45 64 2697\n2 20 40 427777\n1 60 96 -3025\n",
"1 2\n2 1 0 2\n2 1 1 1\n",
"2 2\n2 1 1 9\n2 1 2 5\n",
"1 2\n2 2 1 1\n2 1 1 0\n",
"4 5\n1 2 3 1\n4 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 13\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 2 8\n",
"1 4\n1 1 1 2\n2 1 1 4\n1 1 1 1\n2 1 1 7\n",
"1 2\n2 1 1 2\n2 2 1 1\n",
"1 2\n2 2 1 5\n2 1 1 1\n",
"2 2\n2 2 1 10\n2 1 2 5\n",
"1 4\n1 1 1 2\n2 1 1 6\n0 1 1 1\n2 1 1 8\n",
"1 2\n2 2 1 1\n2 2 1 0\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 0 3\n2 3 4 13\n",
"2 2\n2 1 2 15\n2 1 2 7\n",
"1 2\n2 1 0 2\n0 1 1 1\n",
"3 2\n2 1 1 9\n2 1 2 5\n",
"6 5\n2 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"4 5\n1 2 3 1\n4 1 2 8\n2 3 4 7\n1 2 3 3\n2 3 4 13\n",
"4 5\n1 3 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 2 8\n",
"1 4\n1 1 1 2\n2 1 0 4\n1 1 1 1\n2 1 1 7\n",
"1 4\n1 1 1 2\n2 1 0 6\n0 1 1 1\n2 1 1 8\n",
"4 5\n1 2 3 1\n2 2 2 8\n2 3 4 7\n1 1 2 3\n2 3 4 8\n",
"6 5\n2 2 3 1\n2 2 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 8\n",
"5 5\n1 3 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 2 8\n",
"1 4\n1 2 1 2\n2 1 0 4\n1 1 1 1\n2 1 1 7\n",
"1 2\n1 2 1 0\n2 1 1 5\n",
"4 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 16\n",
"1 4\n1 1 1 2\n2 1 1 3\n1 1 1 1\n2 1 1 7\n",
"2 2\n2 2 2 8\n2 1 2 7\n",
"1 4\n1 1 1 2\n2 1 1 6\n1 2 1 1\n2 1 1 8\n",
"1 2\n2 1 1 8\n2 1 1 11\n",
"97 29\n2 78 82 356152\n2 14 29 430177\n1 59 84 3680\n1 49 89 -2247\n1 92 96 3701\n2 54 89 377271\n1 62 70 -507\n2 94 97 431563\n1 46 55 -9257\n1 51 83 1627\n1 10 20 6633\n1 17 34 -9263\n2 66 92 383251\n1 12 82 3884\n1 78 96 -5379\n2 13 35 424798\n1 68 91 2939\n2 80 84 214725\n1 61 85 -4390\n1 85 96 3106\n2 17 25 424798\n1 91 93 7298\n2 32 94 429290\n2 20 29 427777\n1 56 87 -4571\n2 71 91 218453\n1 45 64 2697\n2 20 40 427777\n1 60 96 -3025\n",
"1 2\n2 1 0 2\n3 1 1 1\n",
"6 5\n1 2 3 1\n2 1 2 8\n2 3 4 7\n1 1 3 0\n2 3 4 8\n",
"4 5\n2 2 3 1\n4 1 2 8\n2 3 4 7\n1 1 3 3\n2 3 4 13\n",
"1 2\n2 1 0 2\n2 2 1 1\n",
"1 2\n2 2 1 1\n4 2 1 0\n",
"4 5\n1 2 3 1\n2 1 2 14\n2 3 4 7\n1 1 0 3\n2 3 4 13\n"
],
"output": [
"YES\n8 7 4 7 ",
"NO\n",
"YES\n8 7 4 7 ",
"YES\n4 ",
"NO\n",
"YES\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 414281 414281 414281 414281 423544 423544 423544 423544 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 420914 423893 423893 423893 423893 423893 423893 423893 423893 423893 423893 433150 433150 433150 435397 435397 433770 433770 433770 379518 379518 379518 379518 379518 375838 375838 375838 375838 375838 375838 375838 375838 375838 375838 375838 375838 350773 350773 350773 350773 350773 350773 350773 356152 356152 210221 210221 210221 214105 215732 362237 357847 357847 353276 353276 351029 343731 379550 420564 427862 427862 427862 431563 ",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n40000000 ",
"NO\n",
"NO\n",
"NO\n",
"YES\n-5\n",
"YES\n8 7 4 7 1000000000 1000000000\n",
"YES\n8 7 4 7 7 1000000000\n",
"YES\n1000000000 7 4 7\n",
"YES\n3\n",
"YES\n1\n",
"YES\n5\n",
"YES\n1000000000 7 4 7 1000000000 1000000000\n",
"YES\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 414281 414281 414281 414281 423544 423544 423544 423544 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 430177 420914 423893 423893 423893 423893 423893 423893 423893 423893 423893 423893 433150 433150 433150 436490 436490 434863 434863 434863 380611 380611 380611 380611 380611 376931 376931 376931 376931 376931 376931 376931 376931 376931 376931 376931 376931 351866 351866 351866 351866 351866 351866 351866 356152 356152 211314 211314 211314 215198 216825 363330 358940 358940 354369 354369 351029 343731 379550 420564 427862 427862 427862 431563\n",
"YES\n0\n",
"YES\n8 7 4 7 7 8\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n5\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n"
]
} | 2CODEFORCES
|