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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has gotten interested in programming contests in TCMCF+++ rules. On the contest n problems were suggested and every problem had a cost β€” a certain integral number of points (perhaps, negative or even equal to zero). According to TCMCF+++ rules, only accepted problems can earn points and the overall number of points of a contestant was equal to the product of the costs of all the problems he/she had completed. If a person didn't solve anything, then he/she didn't even appear in final standings and wasn't considered as participant. Vasya understood that to get the maximal number of points it is not always useful to solve all the problems. Unfortunately, he understood it only after the contest was finished. Now he asks you to help him: find out what problems he had to solve to earn the maximal number of points. Input The first line contains an integer n (1 ≀ n ≀ 100) β€” the number of the suggested problems. The next line contains n space-separated integers ci ( - 100 ≀ ci ≀ 100) β€” the cost of the i-th task. The tasks' costs may coinсide. Output Print space-separated the costs of the problems that needed to be solved to get the maximal possible number of points. Do not forget, please, that it was necessary to solve at least one problem. If there are several solutions to that problem, print any of them. Examples Input 5 1 2 -3 3 3 Output 3 1 2 3 Input 13 100 100 100 100 100 100 100 100 100 100 100 100 100 Output 100 100 100 100 100 100 100 100 100 100 100 100 100 Input 4 -2 -2 -2 -2 Output -2 -2 -2 -2 Submitted Solution: ``` a= int(input()) t = list(map(int,input().split())) ne =[] po=[] for s in t: if s<0: ne.append(s) elif s>0: po.append(s) ne.sort() if len(po)==0 and len(ne)==0: if 0 in t: print(0) else: if len(ne)%2==0: print(*(ne+po)) else: if len(ne)==1: if len(po)>0: print(*po) else: print(*ne) else: print(*(ne[:-1]+po)) ```
instruction
0
104,822
11
209,644
No
output
1
104,822
11
209,645
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has gotten interested in programming contests in TCMCF+++ rules. On the contest n problems were suggested and every problem had a cost β€” a certain integral number of points (perhaps, negative or even equal to zero). According to TCMCF+++ rules, only accepted problems can earn points and the overall number of points of a contestant was equal to the product of the costs of all the problems he/she had completed. If a person didn't solve anything, then he/she didn't even appear in final standings and wasn't considered as participant. Vasya understood that to get the maximal number of points it is not always useful to solve all the problems. Unfortunately, he understood it only after the contest was finished. Now he asks you to help him: find out what problems he had to solve to earn the maximal number of points. Input The first line contains an integer n (1 ≀ n ≀ 100) β€” the number of the suggested problems. The next line contains n space-separated integers ci ( - 100 ≀ ci ≀ 100) β€” the cost of the i-th task. The tasks' costs may coinсide. Output Print space-separated the costs of the problems that needed to be solved to get the maximal possible number of points. Do not forget, please, that it was necessary to solve at least one problem. If there are several solutions to that problem, print any of them. Examples Input 5 1 2 -3 3 3 Output 3 1 2 3 Input 13 100 100 100 100 100 100 100 100 100 100 100 100 100 Output 100 100 100 100 100 100 100 100 100 100 100 100 100 Input 4 -2 -2 -2 -2 Output -2 -2 -2 -2 Submitted Solution: ``` import sys n=int(input()) a = list(map(int,input().strip().split()))[:n] pos=0 neg=0 zero=0 for i in a : if i>0: pos=pos+1 if i<0: neg=neg+1 if i==0: zero=zero+1 if neg==n: for i in a: print(i," ",end =" ") sys.exit() if zero==n: for i in a: print(i," ",end =" ") sys.exit() if pos==n: for i in a: print(i," ",end =" ") sys.exit() for i in a: if i>=0: print(i," ",end =" ") ```
instruction
0
104,823
11
209,646
No
output
1
104,823
11
209,647
Provide a correct Python 3 solution for this coding contest problem. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1
instruction
0
105,132
11
210,264
"Correct Solution: ``` n=int(input()) A=list(map(int,input().split())) C=[0]*9 for i in A: x=i//400 if x<8: C[x]=1 else: C[8]+=1 b=sum(C[:8]) print(str(max(b,1))+' '+str(b+C[8])) ```
output
1
105,132
11
210,265
Provide a correct Python 3 solution for this coding contest problem. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1
instruction
0
105,133
11
210,266
"Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) cnt=0 l=[] for i in a: p=i//400 if p<=7: l.append(p) else: cnt+=1 d=len(set(l)) if d!=0: print(d,d+cnt) else: print(1,cnt) ```
output
1
105,133
11
210,267
Provide a correct Python 3 solution for this coding contest problem. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1
instruction
0
105,134
11
210,268
"Correct Solution: ``` n=int(input()) A=list(map(int,input().split())) A=[a for a in A if a<3200] free=n-len(A) A=set(map(lambda x: x//400,A)) print(max(1,len(A)),len(A)+free) ```
output
1
105,134
11
210,269
Provide a correct Python 3 solution for this coding contest problem. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1
instruction
0
105,135
11
210,270
"Correct Solution: ``` import math n=input() a= [min(math.floor(int(i)//400),8) for i in input().split()] a7= len(set([i for i in a if i<=7])) a8= len([i for i in a if i==8]) print(max(a7,1),a7+a8) ```
output
1
105,135
11
210,271
Provide a correct Python 3 solution for this coding contest problem. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1
instruction
0
105,136
11
210,272
"Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) o=0 x=[] for i in range(n): if a[i]>=3200: o+=1 else: x.append(a[i]//400) p=len(set(x)) q=max(1,p) print(q,o+p) ```
output
1
105,136
11
210,273
Provide a correct Python 3 solution for this coding contest problem. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1
instruction
0
105,137
11
210,274
"Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) c=[0]*8 sums=0 sai=0 for i in a: if i<3200: c[i//400]=1 else: sai+=1 sums=sum(c) print(max(1,sums),sums+sai) ```
output
1
105,137
11
210,275
Provide a correct Python 3 solution for this coding contest problem. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1
instruction
0
105,138
11
210,276
"Correct Solution: ``` n, *a = map(int, open(0).read().split()) l = [i//400 for i in a if i<3200] k = len(set(l)) print(k or 1, n - len(l) + k) ```
output
1
105,138
11
210,277
Provide a correct Python 3 solution for this coding contest problem. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1
instruction
0
105,139
11
210,278
"Correct Solution: ``` v = [0]*9 n = int(input()) a = list(map(int,input().split())) for i in a: idx = i//400 if idx >= 8: idx = 8 v[idx] += 1 r = 0 for i in range(8): if v[i] >= 1: r+= 1 print(max(1,r), r+v[8]) ```
output
1
105,139
11
210,279
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1 Submitted Solution: ``` n=int(input()) a=[int(i)//400 for i in input().split()] b=[] c=0 for i in a: if i<8: b.append(i) else: c+=1 b=set(b) print(max(len(b),1),len(b)+c) ```
instruction
0
105,140
11
210,280
Yes
output
1
105,140
11
210,281
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1 Submitted Solution: ``` input();a=[0]*9 for x in input().split(): x=int(x) if x>3599:x=3200 a[x//400]+=1 b=sum([1 if x else 0 for x in a[:8]]) print(max(1,b),b+a[8]) ```
instruction
0
105,141
11
210,282
Yes
output
1
105,141
11
210,283
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1 Submitted Solution: ``` n=int(input()) a=list(map(int,input().split())) b=[0]*9 for i in a: b[min(i//400,8)]+=1 print(max(8-b[:8].count(0),1),8-b[:8].count(0)+b[8]) ```
instruction
0
105,142
11
210,284
Yes
output
1
105,142
11
210,285
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1 Submitted Solution: ``` n=int(input()) a=list(map(int,input().split())) a=list(map(lambda x:x//400,a)) cnt=0 z=[] for i in a: if i>=8: cnt+=1 else: z.append(i) print(max(1,len(set(z))),len(set(z))+cnt) ```
instruction
0
105,143
11
210,286
Yes
output
1
105,143
11
210,287
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1 Submitted Solution: ``` N = int(input()) a = list(map(int,input().split())) C = [0 for _ in range(9)] for i in range(N): if a[i] // 400 < 8: C[a[i]//400] = 1 else: C[8] += 1 ans_min = sum(C[:8]) ans_max = min(8,sum(C)) print(ans_min,ans_max) ```
instruction
0
105,144
11
210,288
No
output
1
105,144
11
210,289
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1 Submitted Solution: ``` n = int(input()) a = [int(i) for i in input().split()] color = [0] * 8 any = 0 for i in a: if 1 <= i <= 399: color[0] = 1 elif 400 <= i <= 799: color[1] = 1 elif 800 <= i <= 1199: color[2] = 1 elif 1200 <= i <= 1599: color[3] = 1 elif 1600 <= i <= 1999: color[4] = 1 elif 2000 <= i <= 2399: color[5] = 1 elif 2400 <= i <= 2799: color[6] = 1 elif 2800 <= i <= 3199: color[7] = 1 else: any += 1 m = max(sum(color), 1) M = min(sum(color) + any, 8) print(m, M) ```
instruction
0
105,145
11
210,290
No
output
1
105,145
11
210,291
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1 Submitted Solution: ``` N = int(input()) A = list(map(int, input().split())) ans = [0]*9 leng = 0 for i in range(N): if 1 <= A[i] <= 399: ans[0] = 1 elif 400 <= A[i] <= 799: ans[1] = 1 elif 800 <= A[i] <= 1199: ans[2] = 1 elif 1200 <= A[i] <= 1599: ans[3] = 1 elif 1600 <= A[i] <= 1999: ans[4] = 1 elif 2000 <= A[i] <= 2399: ans[5] = 1 elif 2400 <= A[i] <= 2799: ans[6] = 1 elif 2800 <= A[i] <= 3199: ans[7] = 1 else: leng += 1 print(sum(ans), sum(ans)+leng) ```
instruction
0
105,146
11
210,292
No
output
1
105,146
11
210,293
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows: * Rating 1-399 : gray * Rating 400-799 : brown * Rating 800-1199 : green * Rating 1200-1599 : cyan * Rating 1600-1999 : blue * Rating 2000-2399 : yellow * Rating 2400-2799 : orange * Rating 2800-3199 : red Other than the above, a person whose rating is 3200 or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are N users who have participated in a contest in AtCoder, and the i-th user has a rating of a_i. Find the minimum and maximum possible numbers of different colors of the users. Constraints * 1 ≀ N ≀ 100 * 1 ≀ a_i ≀ 4800 * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between. Examples Input 4 2100 2500 2700 2700 Output 2 2 Input 5 1100 1900 2800 3200 3200 Output 3 5 Input 20 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 Output 1 1 Submitted Solution: ``` n = int(input()) a = [0]*9 i = input().split() for x in range(n): y = int(i[x]) if 1<= y <=399: a[0] += 1 elif 400<= y <=799: a[1] += 1 elif 800 <= y <= 1199: a[2] += 1 elif 1200 <= y <= 1599: a[3] += 1 elif 1600 <= y <= 1999: a[4] += 1 elif 2000 <= y <= 2399: a[5] += 1 elif 2400 <= y<= 2799: a[6] += 1 elif 2800 <= y <= 3199: a[7] += 1 else : a[8] += 1 count = 0 for x in range(8): if a[x] > 0: count += 1 max = count + a[8] if max > 8: max = 8 if count == 0 and a[8] > 0: count = 1 print(count,max) ```
instruction
0
105,147
11
210,294
No
output
1
105,147
11
210,295
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Bubble Cup hypothesis stood unsolved for 130 years. Who ever proves the hypothesis will be regarded as one of the greatest mathematicians of our time! A famous mathematician Jerry Mao managed to reduce the hypothesis to this problem: Given a number m, how many polynomials P with coefficients in set {\{0,1,2,3,4,5,6,7\}} have: P(2)=m? Help Jerry Mao solve the long standing problem! Input The first line contains a single integer t (1 ≀ t ≀ 5β‹… 10^5) - number of test cases. On next line there are t numbers, m_i (1 ≀ m_i ≀ 10^{18}) - meaning that in case i you should solve for number m_i. Output For each test case i, print the answer on separate lines: number of polynomials P as described in statement such that P(2)=m_i, modulo 10^9 + 7. Example Input 2 2 4 Output 2 4 Note In first case, for m=2, polynomials that satisfy the constraint are x and 2. In second case, for m=4, polynomials that satisfy the constraint are x^2, x + 2, 2x and 4. Submitted Solution: ``` import sys input=sys.stdin.readline def f(n): return ((n+4)//2)**2//4 input() for x in list(map(int,input().split())): print(f(x)) ```
instruction
0
105,474
11
210,948
No
output
1
105,474
11
210,949
Provide tags and a correct Python 3 solution for this coding contest problem. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam.
instruction
0
105,526
11
211,052
Tags: implementation, math Correct Solution: ``` n,k=input().split(" ") n=int(n) k=int(k) if 3*n>k: print((3*n)-k) else: print(0) ```
output
1
105,526
11
211,053
Provide tags and a correct Python 3 solution for this coding contest problem. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam.
instruction
0
105,527
11
211,054
Tags: implementation, math Correct Solution: ``` z=input mod = 10**9 + 7 from collections import * from queue import * from sys import * from collections import * from math import * from heapq import * from itertools import * from bisect import * from collections import Counter as cc from math import factorial as f def lcd(xnum1,xnum2): return (xnum1*xnum2//gcd(xnum1,xnum2)) ################################################################################ """ n=int(z()) for _ in range(int(z())): x=int(z()) l=list(map(int,z().split())) n=int(z()) l=sorted(list(map(int,z().split())))[::-1] a,b=map(int,z().split()) l=set(map(int,z().split())) led=(6,2,5,5,4,5,6,3,7,6) vowel={'a':0,'e':0,'i':0,'o':0,'u':0} color-4=["G", "GB", "YGB", "YGBI", "OYGBI" ,"OYGBIV",'ROYGBIV' ] """ ###########################---START-CODING---############################################### for _ in range(1): n,k=map(int,input().split()) if 3*n<=k: print(0) else:print(3*n-k) ```
output
1
105,527
11
211,055
Provide tags and a correct Python 3 solution for this coding contest problem. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam.
instruction
0
105,528
11
211,056
Tags: implementation, math Correct Solution: ``` n,k=map(int,input().split()) k=k-2*n print(max(n-k,0)) ```
output
1
105,528
11
211,057
Provide tags and a correct Python 3 solution for this coding contest problem. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam.
instruction
0
105,529
11
211,058
Tags: implementation, math Correct Solution: ``` n,k=[int(x) for x in input().split()] if k//n>2: print(0) else: print(n-(k%n)) ```
output
1
105,529
11
211,059
Provide tags and a correct Python 3 solution for this coding contest problem. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam.
instruction
0
105,530
11
211,060
Tags: implementation, math Correct Solution: ``` def readln(inp=None): return tuple(map(int, (inp or input()).split())) n, k = readln() ans = 100000 for c5 in range(n + 1): for c4 in range(n - c5 + 1): for c3 in range(n - c5 - c4 + 1): c2 = n - c3 - c4 - c5 if c2 >= 0 and 2 * c2 + 3 * c3 + 4 * c4 + 5 * c5 == k and c2 < ans: ans = c2 print(ans) ```
output
1
105,530
11
211,061
Provide tags and a correct Python 3 solution for this coding contest problem. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam.
instruction
0
105,531
11
211,062
Tags: implementation, math Correct Solution: ``` n, k = list(map(int, input().split())) a = k - 2*n if a >= n: print(0) else: print(n - a) ```
output
1
105,531
11
211,063
Provide tags and a correct Python 3 solution for this coding contest problem. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam.
instruction
0
105,532
11
211,064
Tags: implementation, math Correct Solution: ``` n,k = map(int,input().split()) if k/n >= 3: print(0) else: c = 0 while k%n != 0: k -= 1 c += 1 print(n-c) ```
output
1
105,532
11
211,065
Provide tags and a correct Python 3 solution for this coding contest problem. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam.
instruction
0
105,533
11
211,066
Tags: implementation, math Correct Solution: ``` n, k = map(int, input().split()) print(n*3-k if k <= n * 3 else 0) ```
output
1
105,533
11
211,067
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam. Submitted Solution: ``` nk = input().split(' ') n = int(nk[0]) k = int(nk[1]) for a in range(0,n+1): for b in range(n-a+1): for c in range(n-b+1): for d in range(n-c+1): sum = ((a*2) + (b*3) + (c * 4) + (d * 5)) if sum == k: # d = d / 5 if a + b + c + d == n: print(a) exit() ```
instruction
0
105,534
11
211,068
Yes
output
1
105,534
11
211,069
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam. Submitted Solution: ``` ## necessary imports import sys input = sys.stdin.readline # import random from math import log2, log, ceil # swap_array function def swaparr(arr, a,b): temp = arr[a]; arr[a] = arr[b]; arr[b] = temp ## gcd function def gcd(a,b): if a == 0: return b return gcd(b%a, a) ## prime factorization def primefs(n): ## if n == 1 ## calculating primes primes = {} while(n%2 == 0): primes[2] = primes.get(2, 0) + 1 n = n//2 for i in range(3, int(n**0.5)+2, 2): while(n%i == 0): primes[i] = primes.get(i, 0) + 1 n = n//i if n > 2: primes[n] = primes.get(n, 0) + 1 ## prime factoriazation of n is stored in dictionary ## primes and can be accesed. O(sqrt n) return primes ## MODULAR EXPONENTIATION FUNCTION def power(x, y, p): res = 1 x = x % p if (x == 0) : return 0 while (y > 0) : if ((y & 1) == 1) : res = (res * x) % p y = y >> 1 x = (x * x) % p return res ## DISJOINT SET UNINON FUNCTIONS def swap(a,b): temp = a a = b b = temp return a,b # find function def find(x, link): while(x != link[x]): x = link[x] return x # the union function which makes union(x,y) # of two nodes x and y def union(x, y, size, link): x = find(x, link) y = find(y, link) if size[x] < size[y]: x,y = swap(x,y) if x != y: size[x] += size[y] link[y] = x ## returns an array of boolean if primes or not USING SIEVE OF ERATOSTHANES def sieve(n): prime = [True for i in range(n+1)] p = 2 while (p * p <= n): if (prime[p] == True): for i in range(p * p, n+1, p): prime[i] = False p += 1 return prime #### PRIME FACTORIZATION IN O(log n) using Sieve #### MAXN = int(1e6 + 5) def spf_sieve(): spf[1] = 1; for i in range(2, MAXN): spf[i] = i; for i in range(4, MAXN, 2): spf[i] = 2; for i in range(3, ceil(MAXN ** 0.5), 2): if spf[i] == i: for j in range(i*i, MAXN, i): if spf[j] == j: spf[j] = i; ## function for storing smallest prime factors (spf) in the array ################## un-comment below 2 lines when using factorization ################# # spf = [0 for i in range(MAXN)] # spf_sieve() def factoriazation(x): ret = {}; while x != 1: ret[spf[x]] = ret.get(spf[x], 0) + 1; x = x//spf[x] return ret ## this function is useful for multiple queries only, o/w use ## primefs function above. complexity O(log n) ## taking integer array input def int_array(): return list(map(int, input().strip().split())) ## taking string array input def str_array(): return input().strip().split(); #defining a couple constants MOD = int(1e9)+7; CMOD = 998244353; INF = float('inf'); NINF = -float('inf'); ################# ---------------- TEMPLATE ENDS HERE ---------------- ################# n, k = int_array(); if k//n > 2: print(0); else: print(n - k%n); ```
instruction
0
105,535
11
211,070
Yes
output
1
105,535
11
211,071
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam. Submitted Solution: ``` n, k=map(int, input().split()) if k<(3*n): print(3*n-k) else: print(0) ```
instruction
0
105,536
11
211,072
Yes
output
1
105,536
11
211,073
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam. Submitted Solution: ``` n, k = input().split() n = int(n) k = int(k) l = n*2 m = k - l if m == 0: print(n) elif n >= m > 0: print(n - m) elif m > n: print(0) ```
instruction
0
105,537
11
211,074
Yes
output
1
105,537
11
211,075
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam. Submitted Solution: ``` n, k = map(int, input().split()) m = 2*n r = k-m while r!=0: n = n-1 r = r-1 print(n) ```
instruction
0
105,538
11
211,076
No
output
1
105,538
11
211,077
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam. Submitted Solution: ``` nk=input().split() n=int(nk[0]) k=int(nk[1]) if(k==2*n): print(n) elif(k<2*n): print(k//2) else: if(k>=3*n): print(0) else: m=k-2*n print(m) ```
instruction
0
105,539
11
211,078
No
output
1
105,539
11
211,079
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam. Submitted Solution: ``` n,k=map(int,input().split()) if k//n>2: print(0) elif k/n==2: print(k//n) elif k//n<2: print(n) else: i=1 r=0 while(True): r+=2 if (k-r)%3==0 and (k-r)/3==n-i: print(i) break if r>=k: print(i) break i+=1 ```
instruction
0
105,540
11
211,080
No
output
1
105,540
11
211,081
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day the Codeforces round author sat exams. He had n exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than k. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than k, the author's mum won't be pleased at all. The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams. Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all n exams equal exactly k. Input The single input line contains space-separated integers n and k (1 ≀ n ≀ 50, 1 ≀ k ≀ 250) β€” the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass n exams in the way that makes the sum of marks equal exactly k. Output Print the single number β€” the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal k. Examples Input 4 8 Output 4 Input 4 10 Output 2 Input 1 3 Output 0 Note In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam. Submitted Solution: ``` n,k= map(int, input().split()) if n==1: print(0) exit() if n*2==k: print(n) exit() if 3*n>k: print(3*n-k) elif k>=3*n: print(0) ```
instruction
0
105,541
11
211,082
No
output
1
105,541
11
211,083
Provide tags and a correct Python 3 solution for this coding contest problem. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable.
instruction
0
105,672
11
211,344
Tags: bitmasks, brute force Correct Solution: ``` n,l,r,x=map(int,input().split()) num=list(map(int,input().split())) ans=0 for i in range(2**n): st=bin(i)[2:] st='0'*(n-len(st))+st if st.count('1')>=2: pt=[] for i in range(len(st)): if st[i]=='1': pt.append(num[i]) if sum(pt)<=r and sum(pt)>=l and max(pt)-min(pt)>=x: ans+=1 print(ans) ```
output
1
105,672
11
211,345
Provide tags and a correct Python 3 solution for this coding contest problem. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable.
instruction
0
105,673
11
211,346
Tags: bitmasks, brute force Correct Solution: ``` import itertools n,l,x1,r = map(int,input().split()) li = [int(i) for i in input().split()] a =[] for i in range(1,n+1): x = itertools.combinations(li,i) a+=x count = 0 for j in a: if(sum(list(j))<=x1 and sum(list(j))>=l): if(max(j)-min(j)>=r): count+=1 print(count) ```
output
1
105,673
11
211,347
Provide tags and a correct Python 3 solution for this coding contest problem. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable.
instruction
0
105,674
11
211,348
Tags: bitmasks, brute force Correct Solution: ``` a = [] def fn(x,n,l,r,k) : sum = 0 v = [] for j in range(n) : if (1<<j)&x : v.append(int(a[j])) sum+=int(a[j]) if len(v)<2 : return 0 else : return bool(v[len(v)-1]-v[0]>=k and sum >= l and sum <= r) n ,l,r,k = input().split() b = input().split() for i in b : a.append(int(i)) a.sort() ans = 0 for i in range(1<<int(n)) : ans = ans + int(fn(i,int(n),int(l),int(r),int(k))) print(ans) ```
output
1
105,674
11
211,349
Provide tags and a correct Python 3 solution for this coding contest problem. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable.
instruction
0
105,675
11
211,350
Tags: bitmasks, brute force Correct Solution: ``` import itertools q=0 n, l, r, x=map(int,input().split()) c=list(map(int,input().split())) for j in range(2,n+1): for i in itertools.combinations(c,j): if l<=sum(i)<=r and max(i)-min(i)>=x: q+=1 print(q) ```
output
1
105,675
11
211,351
Provide tags and a correct Python 3 solution for this coding contest problem. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable.
instruction
0
105,676
11
211,352
Tags: bitmasks, brute force Correct Solution: ``` # Description of the problem can be found at http://codeforces.com/problemset/problem/550/B def b_f(l_v, c_v, c_i, l, h, l_p, h_p, x): if c_i == len(l_v): return 0 else: n_l = l_v[c_i] if not l_p else min(l_v[c_i], l_p) n_h = l_v[c_i] if not l_p else max(l_v[c_i], h_p) return (1 if c_v + l_v[c_i] >= l and c_v + l_v[c_i] <= h and n_h - n_l >= x else 0) + ( b_f(l_v, c_v, c_i + 1, l, h, l_p, h_p, x) + b_f(l_v, c_v + l_v[c_i], c_i + 1, l, h, n_l, n_h, x)) n, l, r, x = map(int, input().split()) l_v = list(map(int, input().split())) print(b_f(l_v, 0, 0, l, r, None, None, x)) ```
output
1
105,676
11
211,353
Provide tags and a correct Python 3 solution for this coding contest problem. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable.
instruction
0
105,677
11
211,354
Tags: bitmasks, brute force Correct Solution: ``` IL = lambda: list(map(int, input().split())) IS = lambda: input().split() I = lambda: int(input()) S = lambda: input() n, l, r, x = IL() cArr = sorted(IL()) ans = 0 for i in range(1, 2**n): csub = [cArr[j] for j in range(n) if i & 2**j] if l <= sum(csub) <= r and csub[-1] - csub[0] >= x: ans += 1 print(ans) ```
output
1
105,677
11
211,355
Provide tags and a correct Python 3 solution for this coding contest problem. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable.
instruction
0
105,678
11
211,356
Tags: bitmasks, brute force Correct Solution: ``` n, l, r, x = map(int, input().split()) c = list(map(int, input().split())) ans = 0 for i in range(2 ** n): mask = bin(i)[2:].zfill(n) temp = [c[j] for j in range(n) if int(mask[j])] ans += (l <= sum(temp) <= r) and ((max(temp) - min(temp)) >= x) print(ans) ```
output
1
105,678
11
211,357
Provide tags and a correct Python 3 solution for this coding contest problem. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable.
instruction
0
105,679
11
211,358
Tags: bitmasks, brute force Correct Solution: ``` n, l, r, x = map(int, input().split()) arr = list(map(int, input().split())) answer = 0 for i in range(2 ** n): arr1 = [] for j in range(n): if (i // 2 ** j) % 2 == 1: arr1.append(arr[j]) if len(arr1) >= 2 and l <= sum(arr1) <= r and max(arr1) - min(arr1) >= x: answer += 1 print(answer) ```
output
1
105,679
11
211,359
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable. Submitted Solution: ``` """ Brandt Smith, Lemuel Gorion and Peter Haddad codeforces.com Problem 12455 """ import sys def set(mask, pos): return mask | (1 << pos) def isOn(mask, pos): return mask & ( 1 << pos) > 0 n, l, r, x = map(int, input().split(' ')) dif = list(map(int, input().split(' '))) count, mask = 0, 0 while mask <= 2**n: summ, bit = [], 0 while bit < n: if isOn(mask, bit): summ.append(dif[bit]) bit += 1 if sum(summ) <= r and sum(summ) >= l and max(summ) - min(summ) >= x: count += 1 mask += 1 print(count) ```
instruction
0
105,680
11
211,360
Yes
output
1
105,680
11
211,361
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable. Submitted Solution: ``` def s(): [n,l,r,x] = list(map(int,input().split(' '))) l -= 1 r += 1 a = list(map(int,input().split(' '))) s = 0 for i in range(1, 1<<n): ind = 0 k = [] while i: if i & 1: k.append(a[ind]) ind += 1 i >>= 1 if max(k)-min(k) >= x and l < sum(k) < r: s += 1 print(s) s() ```
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211,363
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable. Submitted Solution: ``` # Program to print all combination # of size r in an array of size n # The main function that prints # all combinations of size r in # arr[] of size n. This function # mainly uses combinationUtil() ans=0 n, l, w, x = map(int,input().split()) def printCombination(arr, n, r): # A temporary array to # store all combination # one by one data = [0]*r; # Print all combination # using temprary array 'data[]' combinationUtil(arr, data, 0, n - 1, 0,r ); # arr[] ---> Input Array # data[] ---> Temporary array to # store current combination # start & end ---> Staring and Ending # indexes in arr[] # index ---> Current index in data[] # r ---> Size of a combination # to be printed def combinationUtil(arr, data, start, end, index, r): # Current combination is ready # to be printed, print it if (index == r): # print('data=',data) # print('l w ',l,w) if l<=sum(data)<=w and (max(data)-min(data))>=x: # for j in range(r): # print(data[j], end = " "); # print(); global ans ans+=1 return; # replace index with all possible elements. #The condition "end-i+1 >= r-index" # makes sure that including one element at index will make a combination # with remaining elements at remaining positions i = start; while(i <= end and end - i + 1 >= r - index): data[index] = arr[i]; combinationUtil(arr, data, i + 1, end, index + 1, r); i += 1; # Driver Code arr=list(map(int,input().split())) #arr = [1,2,3,4,5]; for r in range(2,n+1): #r = 3; n = len(arr); printCombination(arr, n, r); # This code is contributed by mits print(ans) ```
instruction
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105,682
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Yes
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211,365
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable. Submitted Solution: ``` def check(j): if sum(j)>=l and sum(j)<=r and (max(j)-min(j))>=x: return 1 return 0 from itertools import combinations n,l,r,x=list(map(int,input().split())) c=list(map(int,input().rstrip().split())) count=0 for i in range(2,n+1): a=list(combinations(c,i)) for j in a: if check(j): count+=1 print(count) ```
instruction
0
105,683
11
211,366
Yes
output
1
105,683
11
211,367
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable. Submitted Solution: ``` n , l , r , x = map(int,input().split(' ')) list_num = list(map(int,input().split(' '))) ans = 0 for m in range((1 << n)): # 2**n mn = -9223372036854775807 # like integer min mx = 9223372036854775807 count = 0 sum = 0 for i in range(n): if m&(1<<i) != 0: count +=1 sum += list_num[i] mn = min(mn , list_num[i]) mx = min(mx , list_num[i]) if mx - mn >= x and sum >= l and sum <=r and count>= 2: ans +=1 print(ans) ```
instruction
0
105,684
11
211,368
No
output
1
105,684
11
211,369
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable. Submitted Solution: ``` from itertools import combinations n,l,x,r=map(int,input().split()) problems=[int(x) for x in input().split()] result=0 for i in range(2,n+1): for comb in combinations(problems, i): summ = sum(comb) mini = min(comb) maxx = max(comb) if summ>=l or summ<=r and maxx-mini>=x: result += 1 print(result) ```
instruction
0
105,685
11
211,370
No
output
1
105,685
11
211,371
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x. Find the number of ways to choose a problemset for the contest. Input The first line contains four integers n, l, r, x (1 ≀ n ≀ 15, 1 ≀ l ≀ r ≀ 109, 1 ≀ x ≀ 106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively. The second line contains n integers c1, c2, ..., cn (1 ≀ ci ≀ 106) β€” the difficulty of each problem. Output Print the number of ways to choose a suitable problemset for the contest. Examples Input 3 5 6 1 1 2 3 Output 2 Input 4 40 50 10 10 20 30 25 Output 2 Input 5 25 35 10 10 10 20 10 20 Output 6 Note In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable. Submitted Solution: ``` inp = input() nums = [int(i) for i in inp.split(" ")] inp1 = input() nums1 = [int(j) for j in inp1.split(" ")] l = nums[1] r = nums[2] x = nums[3] def checker(array, x): sums = [] used = [] for i in range(len(array)): for j in range(len(array)): if i == j: continue if [i,j] in used: continue if (array[i] - array[j] == x) or (array[j] - array[i] == x): sums.append(array[i]+array[j]) used.append([i, j]) return sums sums = checker(nums1, x) c = 0 for k in sums: if k >= l and k <= r: c += 1 print(c) ```
instruction
0
105,686
11
211,372
No
output
1
105,686
11
211,373