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Provide a correct Python 3 solution for this coding contest problem. <image> The International Clown and Pierrot Competition (ICPC), is one of the most distinguished and also the most popular events on earth in the show business. One of the unique features of this contest is the great number of judges that sometimes counts up to one hundred. The number of judges may differ from one contestant to another, because judges with any relationship whatsoever with a specific contestant are temporarily excluded for scoring his/her performance. Basically, scores given to a contestant's performance by the judges are averaged to decide his/her score. To avoid letting judges with eccentric viewpoints too much influence the score, the highest and the lowest scores are set aside in this calculation. If the same highest score is marked by two or more judges, only one of them is ignored. The same is with the lowest score. The average, which may contain fractions, are truncated down to obtain final score as an integer. You are asked to write a program that computes the scores of performances, given the scores of all the judges, to speed up the event to be suited for a TV program. Input The input consists of a number of datasets, each corresponding to a contestant's performance. There are no more than 20 datasets in the input. A dataset begins with a line with an integer n, the number of judges participated in scoring the performance (3 ≤ n ≤ 100). Each of the n lines following it has an integral score s (0 ≤ s ≤ 1000) marked by a judge. No other characters except for digits to express these numbers are in the input. Judges' names are kept secret. The end of the input is indicated by a line with a single zero in it. Output For each dataset, a line containing a single decimal integer indicating the score for the corresponding performance should be output. No other characters should be on the output line. Example Input 3 1000 342 0 5 2 2 9 11 932 5 300 1000 0 200 400 8 353 242 402 274 283 132 402 523 0 Output 342 7 300 326
instruction
0
50,444
17
100,888
"Correct Solution: ``` a=[] i=0 while True: N=int(input()) if N==0: break else: for i in range(N): n=int(input()) a.append(n) a.sort() a.pop() a.pop(0) print(sum(a) // len(a)) a.clear() ```
output
1
50,444
17
100,889
Provide a correct Python 3 solution for this coding contest problem. <image> The International Clown and Pierrot Competition (ICPC), is one of the most distinguished and also the most popular events on earth in the show business. One of the unique features of this contest is the great number of judges that sometimes counts up to one hundred. The number of judges may differ from one contestant to another, because judges with any relationship whatsoever with a specific contestant are temporarily excluded for scoring his/her performance. Basically, scores given to a contestant's performance by the judges are averaged to decide his/her score. To avoid letting judges with eccentric viewpoints too much influence the score, the highest and the lowest scores are set aside in this calculation. If the same highest score is marked by two or more judges, only one of them is ignored. The same is with the lowest score. The average, which may contain fractions, are truncated down to obtain final score as an integer. You are asked to write a program that computes the scores of performances, given the scores of all the judges, to speed up the event to be suited for a TV program. Input The input consists of a number of datasets, each corresponding to a contestant's performance. There are no more than 20 datasets in the input. A dataset begins with a line with an integer n, the number of judges participated in scoring the performance (3 ≤ n ≤ 100). Each of the n lines following it has an integral score s (0 ≤ s ≤ 1000) marked by a judge. No other characters except for digits to express these numbers are in the input. Judges' names are kept secret. The end of the input is indicated by a line with a single zero in it. Output For each dataset, a line containing a single decimal integer indicating the score for the corresponding performance should be output. No other characters should be on the output line. Example Input 3 1000 342 0 5 2 2 9 11 932 5 300 1000 0 200 400 8 353 242 402 274 283 132 402 523 0 Output 342 7 300 326
instruction
0
50,445
17
100,890
"Correct Solution: ``` import math while True: n = int(input()) if n == 0: break s = [] for i in range(n): s.append(int(input())) print(math.floor((sum(s) - min(s) - max(s)) / (n - 2))) ```
output
1
50,445
17
100,891
Provide a correct Python 3 solution for this coding contest problem. <image> The International Clown and Pierrot Competition (ICPC), is one of the most distinguished and also the most popular events on earth in the show business. One of the unique features of this contest is the great number of judges that sometimes counts up to one hundred. The number of judges may differ from one contestant to another, because judges with any relationship whatsoever with a specific contestant are temporarily excluded for scoring his/her performance. Basically, scores given to a contestant's performance by the judges are averaged to decide his/her score. To avoid letting judges with eccentric viewpoints too much influence the score, the highest and the lowest scores are set aside in this calculation. If the same highest score is marked by two or more judges, only one of them is ignored. The same is with the lowest score. The average, which may contain fractions, are truncated down to obtain final score as an integer. You are asked to write a program that computes the scores of performances, given the scores of all the judges, to speed up the event to be suited for a TV program. Input The input consists of a number of datasets, each corresponding to a contestant's performance. There are no more than 20 datasets in the input. A dataset begins with a line with an integer n, the number of judges participated in scoring the performance (3 ≤ n ≤ 100). Each of the n lines following it has an integral score s (0 ≤ s ≤ 1000) marked by a judge. No other characters except for digits to express these numbers are in the input. Judges' names are kept secret. The end of the input is indicated by a line with a single zero in it. Output For each dataset, a line containing a single decimal integer indicating the score for the corresponding performance should be output. No other characters should be on the output line. Example Input 3 1000 342 0 5 2 2 9 11 932 5 300 1000 0 200 400 8 353 242 402 274 283 132 402 523 0 Output 342 7 300 326
instruction
0
50,446
17
100,892
"Correct Solution: ``` N=int(input()) while N!=0: data=[] for i in range(N): data.append(int(input())) data.sort() Sum=0 Count=0 for i in range(N-2): Sum+=data[i+1] Count+=1 print(Sum//Count) N=int(input()) ```
output
1
50,446
17
100,893
Provide tags and a correct Python 3 solution for this coding contest problem. «Polygon» is a system which allows to create programming tasks in a simple and professional way. When you add a test to the problem, the corresponding form asks you for the test index. As in most cases it is clear which index the next test will have, the system suggests the default value of the index. It is calculated as the smallest positive integer which is not used as an index for some previously added test. You are to implement this feature. Create a program which determines the default index of the next test, given the indexes of the previously added tests. Input The first line contains one integer n (1 ≤ n ≤ 3000) — the amount of previously added tests. The second line contains n distinct integers a1, a2, ..., an (1 ≤ ai ≤ 3000) — indexes of these tests. Output Output the required default value for the next test index. Examples Input 3 1 7 2 Output 3
instruction
0
51,622
17
103,244
Tags: implementation, sortings Correct Solution: ``` n=int(input()) l=[int(x) for x in input().split()] l.sort() j=1 flag=0 for i in l: if(i==j): j+=1 else: print(j) flag=1 break else: print(j) ```
output
1
51,622
17
103,245
Provide tags and a correct Python 3 solution for this coding contest problem. «Polygon» is a system which allows to create programming tasks in a simple and professional way. When you add a test to the problem, the corresponding form asks you for the test index. As in most cases it is clear which index the next test will have, the system suggests the default value of the index. It is calculated as the smallest positive integer which is not used as an index for some previously added test. You are to implement this feature. Create a program which determines the default index of the next test, given the indexes of the previously added tests. Input The first line contains one integer n (1 ≤ n ≤ 3000) — the amount of previously added tests. The second line contains n distinct integers a1, a2, ..., an (1 ≤ ai ≤ 3000) — indexes of these tests. Output Output the required default value for the next test index. Examples Input 3 1 7 2 Output 3
instruction
0
51,623
17
103,246
Tags: implementation, sortings Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) dp=[0]*(3002) for _ in range(n): dp[a[_]]+=1 for _ in range(1,3002): if dp[_]==0: print(_) break ```
output
1
51,623
17
103,247
Provide tags and a correct Python 3 solution for this coding contest problem. «Polygon» is a system which allows to create programming tasks in a simple and professional way. When you add a test to the problem, the corresponding form asks you for the test index. As in most cases it is clear which index the next test will have, the system suggests the default value of the index. It is calculated as the smallest positive integer which is not used as an index for some previously added test. You are to implement this feature. Create a program which determines the default index of the next test, given the indexes of the previously added tests. Input The first line contains one integer n (1 ≤ n ≤ 3000) — the amount of previously added tests. The second line contains n distinct integers a1, a2, ..., an (1 ≤ ai ≤ 3000) — indexes of these tests. Output Output the required default value for the next test index. Examples Input 3 1 7 2 Output 3
instruction
0
51,624
17
103,248
Tags: implementation, sortings Correct Solution: ``` n = int(input()) l = sorted(map(int, input().split())) p = 0 for e in l: if e != p + 1: break else: p = e print(p + 1) ```
output
1
51,624
17
103,249
Provide tags and a correct Python 3 solution for this coding contest problem. «Polygon» is a system which allows to create programming tasks in a simple and professional way. When you add a test to the problem, the corresponding form asks you for the test index. As in most cases it is clear which index the next test will have, the system suggests the default value of the index. It is calculated as the smallest positive integer which is not used as an index for some previously added test. You are to implement this feature. Create a program which determines the default index of the next test, given the indexes of the previously added tests. Input The first line contains one integer n (1 ≤ n ≤ 3000) — the amount of previously added tests. The second line contains n distinct integers a1, a2, ..., an (1 ≤ ai ≤ 3000) — indexes of these tests. Output Output the required default value for the next test index. Examples Input 3 1 7 2 Output 3
instruction
0
51,626
17
103,252
Tags: implementation, sortings Correct Solution: ``` a=int(input()) b=[int(i) for i in input().split()] c=sorted(b) d=1 flag=0 for i in range(0,len(c)): if(c[i]!=d): flag=1 break else: d=d+1 print(d) ```
output
1
51,626
17
103,253
Provide tags and a correct Python 3 solution for this coding contest problem. «Polygon» is a system which allows to create programming tasks in a simple and professional way. When you add a test to the problem, the corresponding form asks you for the test index. As in most cases it is clear which index the next test will have, the system suggests the default value of the index. It is calculated as the smallest positive integer which is not used as an index for some previously added test. You are to implement this feature. Create a program which determines the default index of the next test, given the indexes of the previously added tests. Input The first line contains one integer n (1 ≤ n ≤ 3000) — the amount of previously added tests. The second line contains n distinct integers a1, a2, ..., an (1 ≤ ai ≤ 3000) — indexes of these tests. Output Output the required default value for the next test index. Examples Input 3 1 7 2 Output 3
instruction
0
51,627
17
103,254
Tags: implementation, sortings Correct Solution: ``` n=int( input() ) l=list(map(int, input().strip().split())) h=[0 for a in range(0, 30000)] for i in l: h[i]+=1 for i in range(1,30000): if h[ i]==0: print(i) break ```
output
1
51,627
17
103,255
Provide tags and a correct Python 3 solution for this coding contest problem. «Polygon» is a system which allows to create programming tasks in a simple and professional way. When you add a test to the problem, the corresponding form asks you for the test index. As in most cases it is clear which index the next test will have, the system suggests the default value of the index. It is calculated as the smallest positive integer which is not used as an index for some previously added test. You are to implement this feature. Create a program which determines the default index of the next test, given the indexes of the previously added tests. Input The first line contains one integer n (1 ≤ n ≤ 3000) — the amount of previously added tests. The second line contains n distinct integers a1, a2, ..., an (1 ≤ ai ≤ 3000) — indexes of these tests. Output Output the required default value for the next test index. Examples Input 3 1 7 2 Output 3
instruction
0
51,629
17
103,258
Tags: implementation, sortings Correct Solution: ``` n=int(input()) a=sorted([int(x) for x in input().split()]) for i in range(n+1): if i==n or i+1!=a[i]: print(i+1) break ```
output
1
51,629
17
103,259
Provide tags and a correct Python 3 solution for this coding contest problem. A class of students wrote a multiple-choice test. There are n students in the class. The test had m questions, each of them had 5 possible answers (A, B, C, D or E). There is exactly one correct answer for each question. The correct answer for question i worth a_i points. Incorrect answers are graded with zero points. The students remember what answers they gave on the exam, but they don't know what are the correct answers. They are very optimistic, so they want to know what is the maximum possible total score of all students in the class. Input The first line contains integers n and m (1 ≤ n, m ≤ 1000) — the number of students in the class and the number of questions in the test. Each of the next n lines contains string s_i (|s_i| = m), describing an answer of the i-th student. The j-th character represents the student answer (A, B, C, D or E) on the j-th question. The last line contains m integers a_1, a_2, …, a_m (1 ≤ a_i ≤ 1000) — the number of points for the correct answer for every question. Output Print a single integer — the maximum possible total score of the class. Examples Input 2 4 ABCD ABCE 1 2 3 4 Output 16 Input 3 3 ABC BCD CDE 5 4 12 Output 21 Note In the first example, one of the most optimal test answers is "ABCD", this way the total number of points will be 16. In the second example, one of the most optimal test answers is "CCC", this way each question will be answered by exactly one student and the total number of points is 5 + 4 + 12 = 21.
instruction
0
52,298
17
104,596
Tags: implementation, strings Correct Solution: ``` n, m = map(int, input().split()) ds = [{} for _ in range(m)] for i in range(n): a = input() for ind, c in enumerate(a): ds[ind][c] = ds[ind].get(c, 0) + 1 bs = map(int, input().split()) res = 0 for d, b in zip(ds, bs): res += b*max(d.values()) print(res) ```
output
1
52,298
17
104,597
Provide tags and a correct Python 3 solution for this coding contest problem. A class of students wrote a multiple-choice test. There are n students in the class. The test had m questions, each of them had 5 possible answers (A, B, C, D or E). There is exactly one correct answer for each question. The correct answer for question i worth a_i points. Incorrect answers are graded with zero points. The students remember what answers they gave on the exam, but they don't know what are the correct answers. They are very optimistic, so they want to know what is the maximum possible total score of all students in the class. Input The first line contains integers n and m (1 ≤ n, m ≤ 1000) — the number of students in the class and the number of questions in the test. Each of the next n lines contains string s_i (|s_i| = m), describing an answer of the i-th student. The j-th character represents the student answer (A, B, C, D or E) on the j-th question. The last line contains m integers a_1, a_2, …, a_m (1 ≤ a_i ≤ 1000) — the number of points for the correct answer for every question. Output Print a single integer — the maximum possible total score of the class. Examples Input 2 4 ABCD ABCE 1 2 3 4 Output 16 Input 3 3 ABC BCD CDE 5 4 12 Output 21 Note In the first example, one of the most optimal test answers is "ABCD", this way the total number of points will be 16. In the second example, one of the most optimal test answers is "CCC", this way each question will be answered by exactly one student and the total number of points is 5 + 4 + 12 = 21.
instruction
0
52,299
17
104,598
Tags: implementation, strings Correct Solution: ``` n,m=list(map(int,input().split())) A=[] Ans = 0 for _ in range(n): A.append(input()) Val= list(map(int,input().split())) D={'A':0,'B':0,'C':0,'D':0,'E':0} for i in range(m): D={'A':0,'B':0,'C':0,'D':0,'E':0} for j in range(n): D[A[j][i]] += 1 Max = max(list(D.values())) Ans += Val[i]*Max print(Ans) ```
output
1
52,299
17
104,599
Provide tags and a correct Python 3 solution for this coding contest problem. A class of students wrote a multiple-choice test. There are n students in the class. The test had m questions, each of them had 5 possible answers (A, B, C, D or E). There is exactly one correct answer for each question. The correct answer for question i worth a_i points. Incorrect answers are graded with zero points. The students remember what answers they gave on the exam, but they don't know what are the correct answers. They are very optimistic, so they want to know what is the maximum possible total score of all students in the class. Input The first line contains integers n and m (1 ≤ n, m ≤ 1000) — the number of students in the class and the number of questions in the test. Each of the next n lines contains string s_i (|s_i| = m), describing an answer of the i-th student. The j-th character represents the student answer (A, B, C, D or E) on the j-th question. The last line contains m integers a_1, a_2, …, a_m (1 ≤ a_i ≤ 1000) — the number of points for the correct answer for every question. Output Print a single integer — the maximum possible total score of the class. Examples Input 2 4 ABCD ABCE 1 2 3 4 Output 16 Input 3 3 ABC BCD CDE 5 4 12 Output 21 Note In the first example, one of the most optimal test answers is "ABCD", this way the total number of points will be 16. In the second example, one of the most optimal test answers is "CCC", this way each question will be answered by exactly one student and the total number of points is 5 + 4 + 12 = 21.
instruction
0
52,300
17
104,600
Tags: implementation, strings Correct Solution: ``` n, m = map(int, input().split()) answer, total = [], 0 for i in range(n): answer.append(input()) points = list(map(int, input().split())) for j in range(m): correct = [0] * 5 for i in range(n): correct[ord(answer[i][j]) - 65] += 1 total += max(correct) * points[j] print(total) ```
output
1
52,300
17
104,601
Provide tags and a correct Python 3 solution for this coding contest problem. A class of students wrote a multiple-choice test. There are n students in the class. The test had m questions, each of them had 5 possible answers (A, B, C, D or E). There is exactly one correct answer for each question. The correct answer for question i worth a_i points. Incorrect answers are graded with zero points. The students remember what answers they gave on the exam, but they don't know what are the correct answers. They are very optimistic, so they want to know what is the maximum possible total score of all students in the class. Input The first line contains integers n and m (1 ≤ n, m ≤ 1000) — the number of students in the class and the number of questions in the test. Each of the next n lines contains string s_i (|s_i| = m), describing an answer of the i-th student. The j-th character represents the student answer (A, B, C, D or E) on the j-th question. The last line contains m integers a_1, a_2, …, a_m (1 ≤ a_i ≤ 1000) — the number of points for the correct answer for every question. Output Print a single integer — the maximum possible total score of the class. Examples Input 2 4 ABCD ABCE 1 2 3 4 Output 16 Input 3 3 ABC BCD CDE 5 4 12 Output 21 Note In the first example, one of the most optimal test answers is "ABCD", this way the total number of points will be 16. In the second example, one of the most optimal test answers is "CCC", this way each question will be answered by exactly one student and the total number of points is 5 + 4 + 12 = 21.
instruction
0
52,301
17
104,602
Tags: implementation, strings Correct Solution: ``` n, m = map(int, input().split()) a = [[0,0,0,0,0] for i in range(m)] for i in range(n): s = input() for j in range(len(s)): if s[j] == "A": a[j][0]+=1 if s[j] == "B": a[j][1]+=1 if s[j] == "C": a[j][2]+=1 if s[j] == "D": a[j][3]+=1 if s[j] == "E": a[j][4]+=1 mx = 0 ans = 0 w = list(map(int, input().split())) for i in range(len(w)): mx = 0 for j in range(len(a[i])): if a[i][j] * w[i] > mx: mx = a[i][j] * w[i] ans+= mx print(ans) ```
output
1
52,301
17
104,603
Provide tags and a correct Python 3 solution for this coding contest problem. A class of students wrote a multiple-choice test. There are n students in the class. The test had m questions, each of them had 5 possible answers (A, B, C, D or E). There is exactly one correct answer for each question. The correct answer for question i worth a_i points. Incorrect answers are graded with zero points. The students remember what answers they gave on the exam, but they don't know what are the correct answers. They are very optimistic, so they want to know what is the maximum possible total score of all students in the class. Input The first line contains integers n and m (1 ≤ n, m ≤ 1000) — the number of students in the class and the number of questions in the test. Each of the next n lines contains string s_i (|s_i| = m), describing an answer of the i-th student. The j-th character represents the student answer (A, B, C, D or E) on the j-th question. The last line contains m integers a_1, a_2, …, a_m (1 ≤ a_i ≤ 1000) — the number of points for the correct answer for every question. Output Print a single integer — the maximum possible total score of the class. Examples Input 2 4 ABCD ABCE 1 2 3 4 Output 16 Input 3 3 ABC BCD CDE 5 4 12 Output 21 Note In the first example, one of the most optimal test answers is "ABCD", this way the total number of points will be 16. In the second example, one of the most optimal test answers is "CCC", this way each question will be answered by exactly one student and the total number of points is 5 + 4 + 12 = 21.
instruction
0
52,302
17
104,604
Tags: implementation, strings Correct Solution: ``` import operator n,m = map(int,input().split()) lit = [] for i in range(n): x = list(input()) lit.append(x) # print(lit) wait = list(map(int,input().split())) # print(wait) dict1 = {'A':0,'B':0,'C':0,'D':0,'E':0} count = 0 for i in range(m): for j in range(n): dict1[lit[j][i]]+=1 count+=max(dict1.values())*wait[i] dict1 = {'A':0,'B':0,'C':0,'D':0,'E':0} print(count) ```
output
1
52,302
17
104,605
Provide tags and a correct Python 3 solution for this coding contest problem. A class of students wrote a multiple-choice test. There are n students in the class. The test had m questions, each of them had 5 possible answers (A, B, C, D or E). There is exactly one correct answer for each question. The correct answer for question i worth a_i points. Incorrect answers are graded with zero points. The students remember what answers they gave on the exam, but they don't know what are the correct answers. They are very optimistic, so they want to know what is the maximum possible total score of all students in the class. Input The first line contains integers n and m (1 ≤ n, m ≤ 1000) — the number of students in the class and the number of questions in the test. Each of the next n lines contains string s_i (|s_i| = m), describing an answer of the i-th student. The j-th character represents the student answer (A, B, C, D or E) on the j-th question. The last line contains m integers a_1, a_2, …, a_m (1 ≤ a_i ≤ 1000) — the number of points for the correct answer for every question. Output Print a single integer — the maximum possible total score of the class. Examples Input 2 4 ABCD ABCE 1 2 3 4 Output 16 Input 3 3 ABC BCD CDE 5 4 12 Output 21 Note In the first example, one of the most optimal test answers is "ABCD", this way the total number of points will be 16. In the second example, one of the most optimal test answers is "CCC", this way each question will be answered by exactly one student and the total number of points is 5 + 4 + 12 = 21.
instruction
0
52,303
17
104,606
Tags: implementation, strings Correct Solution: ``` n,m=[int(x) for x in input().split()] answer=[[0]*5 for i in range(m)] for j in range(n): a=input() for i in range(m): item=a[i] if item=='A': answer[i][0]+=1 elif item=='B': answer[i][1]+=1 elif item=='C': answer[i][2]+=1 elif item=='D': answer[i][3]+=1 else: answer[i][4]+=1 b=[int(x) for x in input().split()] arr=0 for i in range(m): arr+=max(answer[i])*b[i] print(arr) ```
output
1
52,303
17
104,607
Provide tags and a correct Python 3 solution for this coding contest problem. A class of students wrote a multiple-choice test. There are n students in the class. The test had m questions, each of them had 5 possible answers (A, B, C, D or E). There is exactly one correct answer for each question. The correct answer for question i worth a_i points. Incorrect answers are graded with zero points. The students remember what answers they gave on the exam, but they don't know what are the correct answers. They are very optimistic, so they want to know what is the maximum possible total score of all students in the class. Input The first line contains integers n and m (1 ≤ n, m ≤ 1000) — the number of students in the class and the number of questions in the test. Each of the next n lines contains string s_i (|s_i| = m), describing an answer of the i-th student. The j-th character represents the student answer (A, B, C, D or E) on the j-th question. The last line contains m integers a_1, a_2, …, a_m (1 ≤ a_i ≤ 1000) — the number of points for the correct answer for every question. Output Print a single integer — the maximum possible total score of the class. Examples Input 2 4 ABCD ABCE 1 2 3 4 Output 16 Input 3 3 ABC BCD CDE 5 4 12 Output 21 Note In the first example, one of the most optimal test answers is "ABCD", this way the total number of points will be 16. In the second example, one of the most optimal test answers is "CCC", this way each question will be answered by exactly one student and the total number of points is 5 + 4 + 12 = 21.
instruction
0
52,304
17
104,608
Tags: implementation, strings Correct Solution: ``` n, m = map(int, input().split()) g = [0]*n for i in range(n): g[i] = input() a = list(map(int, input().split())) end = 0 for i in range(m): temp = [t[i] for t in g] maxt = max([sum([t == c for t in temp]) for c in "ABCDE"]) end += maxt * a[i] print(end) ```
output
1
52,304
17
104,609
Provide tags and a correct Python 3 solution for this coding contest problem. A class of students wrote a multiple-choice test. There are n students in the class. The test had m questions, each of them had 5 possible answers (A, B, C, D or E). There is exactly one correct answer for each question. The correct answer for question i worth a_i points. Incorrect answers are graded with zero points. The students remember what answers they gave on the exam, but they don't know what are the correct answers. They are very optimistic, so they want to know what is the maximum possible total score of all students in the class. Input The first line contains integers n and m (1 ≤ n, m ≤ 1000) — the number of students in the class and the number of questions in the test. Each of the next n lines contains string s_i (|s_i| = m), describing an answer of the i-th student. The j-th character represents the student answer (A, B, C, D or E) on the j-th question. The last line contains m integers a_1, a_2, …, a_m (1 ≤ a_i ≤ 1000) — the number of points for the correct answer for every question. Output Print a single integer — the maximum possible total score of the class. Examples Input 2 4 ABCD ABCE 1 2 3 4 Output 16 Input 3 3 ABC BCD CDE 5 4 12 Output 21 Note In the first example, one of the most optimal test answers is "ABCD", this way the total number of points will be 16. In the second example, one of the most optimal test answers is "CCC", this way each question will be answered by exactly one student and the total number of points is 5 + 4 + 12 = 21.
instruction
0
52,305
17
104,610
Tags: implementation, strings Correct Solution: ``` n, m = map(int, input().split()) s = [] ans = [] for i in range(n): s.append(input()) z = list(map(int, input().split())) q = {k: [] for k in range(m)} for i in s: for j in range(m): q[j].append(i[j]) for i in q.values(): a = i.count('A') b = i.count('B') c = i.count('C') d = i.count('D') e = i.count('E') if max(a, b, c, d, e) == a: ans.append('A') elif max(a, b, c, d, e) == b: ans.append('B') elif max(a, b, c, d, e) == c: ans.append('C') elif max(a, b, c, d, e) == d: ans.append('D') elif max(a, b, c, d, e) == e: ans.append('E') balov = 0 for i in s: for j in range(len(i)): if i[j] == ans[j]: balov += z[j] print(balov) ```
output
1
52,305
17
104,611
Provide a correct Python 3 solution for this coding contest problem. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2
instruction
0
52,982
17
105,964
"Correct Solution: ``` from collections import defaultdict while True: n = int(input()) if n == 0: break teams = [] for _ in range(n): i, u, a, p = map(int, input().split()) teams.append((-a, p, i, u)) teams.sort() u_counter = defaultdict(int) all_counter = 0 selected = [] for _, _, i, u in teams: if all_counter < 10 and u_counter[u] < 3 or\ all_counter < 20 and u_counter[u] < 2 or\ all_counter < 26 and u_counter[u] < 1: u_counter[u] += 1 all_counter += 1 selected.append(i) [print(s) for s in selected] ```
output
1
52,982
17
105,965
Provide a correct Python 3 solution for this coding contest problem. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2
instruction
0
52,983
17
105,966
"Correct Solution: ``` while True: n = int(input()) if n == 0:break p = [tuple(map(int, input().split())) for _ in range(n)] p.sort() p.sort(key = lambda x:x[3]) p.sort(key = lambda x:x[2], reverse = True) s = 0 sg = {} for i in p: if s < 10: try: if sg[i[1]] < 3: print(i[0]) s += 1 sg[i[1]] += 1 except: sg[i[1]] = 1 print(i[0]) s += 1 elif s < 20: try: if sg[i[1]] < 2: print(i[0]) s += 1 sg[i[1]] += 1 except: sg[i[1]] = 1 print(i[0]) s += 1 elif s < 26: if i[1] not in sg: sg[i[1]] = 1 print(i[0]) s += 1 ```
output
1
52,983
17
105,967
Provide a correct Python 3 solution for this coding contest problem. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2
instruction
0
52,984
17
105,968
"Correct Solution: ``` while 1: n = int(input()) if n == 0: break data = [] for _ in range(n): i, u, a, p = map(int, input().split()) data.append([i, u, a, p]) data = sorted(data, key=lambda x: (-x[2], x[3], x[0])) union = [0] * 1001 cnt = 0 for d in data: i, u, a, p = d if cnt < 10 and union[u] < 3: print(i) cnt += 1 union[u] += 1 elif cnt < 20 and union[u] < 2: print(i) cnt += 1 union[u] += 1 elif cnt < 26 and union[u] < 1: print(i) cnt += 1 union[u] += 1 ```
output
1
52,984
17
105,969
Provide a correct Python 3 solution for this coding contest problem. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2
instruction
0
52,985
17
105,970
"Correct Solution: ``` def team_sort(teams, n): for i in range(n - 1): #print(i) for j in range(n - i - 1): #print(i, j, teams[j][2], teams[j+1][2]) if (teams[j][2] < teams[j + 1][2]): tmp = teams[j] teams[j] = teams[j+1] teams[j+1] = tmp elif (teams[j][2] == teams[j + 1][2]): if (teams[j][3] > teams[j + 1][3]): tmp = teams[j] teams[j] = teams[j+1] teams[j+1] = tmp elif (teams[j][3] == teams[j + 1][3]) and (teams[j][0] > teams[j + 1][0]): tmp = teams[j] teams[j] = teams[j+1] teams[j+1] = tmp def select(teams): selection = [] count = {} for t in teams: g = str(t[1]) count.setdefault(g, 0) #print(t) if len(selection) < 10: if (count[g] < 3): selection.append(t) count[g] += 1 elif len(selection) < 20: if (count[g] < 2): selection.append(t) count[g] += 1 elif len(selection) < 26: if (count[g] < 1): selection.append(t) count[g] += 1 #print('selection', selection) for t in selection: print(t[0]) while True: n = int(input()) if (n == 0): break teams = [] for i in range(n): t = [int(x) for x in input().split()] teams.append(t) #print(teams) team_sort(teams, n) #print('sorted', teams) select(teams) ```
output
1
52,985
17
105,971
Provide a correct Python 3 solution for this coding contest problem. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2
instruction
0
52,986
17
105,972
"Correct Solution: ``` while True : n = int(input()) if n == 0 : break Team = [list(map(int, input().split())) for i in range(n)] Team.sort(key=lambda x: (-x[2], x[3], x[0])) Senbatsu_Syozoku = [0] * 1001 Senbatsu_amount = 0 for i in range(n) : if Senbatsu_amount < 10 and Senbatsu_Syozoku[Team[i][1]] < 3 : Senbatsu_amount += 1 Senbatsu_Syozoku[Team[i][1]] += 1 print(Team[i][0]) elif Senbatsu_amount < 20 and Senbatsu_Syozoku[Team[i][1]] < 2 : Senbatsu_amount += 1 Senbatsu_Syozoku[Team[i][1]] += 1 print(Team[i][0]) elif Senbatsu_amount < 26 and Senbatsu_Syozoku[Team[i][1]] == 0 : Senbatsu_amount += 1 Senbatsu_Syozoku[Team[i][1]] += 1 print(Team[i][0]) ```
output
1
52,986
17
105,973
Provide a correct Python 3 solution for this coding contest problem. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2
instruction
0
52,987
17
105,974
"Correct Solution: ``` def main(): while True: n = int(input()) if n == 0: break teams = [] for i in range(n): teams.append(list(map(int, input().split()))) def same_len(l): return len(list(filter(lambda x: x[1] == e[1], ans))) ans = [] rank = sorted(sorted(sorted(teams, key=lambda x: x[0]), key=lambda x: x[3]), key=lambda x: x[2], reverse=True) for e in rank: if len(ans) < 10 and same_len(ans) < 3: ans.append(e) elif len(ans) < 20 and same_len(ans) < 2: ans.append(e) elif len(ans) < 26 and same_len(ans) == 0: ans.append(e) for a in ans: print(a[0]) if __name__ == "__main__": main() ```
output
1
52,987
17
105,975
Provide a correct Python 3 solution for this coding contest problem. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2
instruction
0
52,988
17
105,976
"Correct Solution: ``` while 1: in_tmp = input() if (in_tmp == "0"): break list_team = [] for i in range(int(in_tmp)): list_team.append(list(map(int,input().split()))) list_sorted = sorted(list_team, key=lambda x:(-x[2], x[3], x[0])) cnt_passed = 0 dict_passed = {} for item in list_sorted: if (item[1] not in dict_passed.keys()): dict_passed[item[1]] = 0 if (cnt_passed < 10): if(dict_passed[item[1]] < 3): print(item[0]) dict_passed[item[1]] += 1 cnt_passed += 1 elif (cnt_passed < 20): if(dict_passed[item[1]] < 2): print(item[0]) dict_passed[item[1]] += 1 cnt_passed += 1 elif (cnt_passed < 26): if(dict_passed[item[1]] < 1): print(item[0]) dict_passed[item[1]] += 1 cnt_passed += 1 else: break ```
output
1
52,988
17
105,977
Provide a correct Python 3 solution for this coding contest problem. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2
instruction
0
52,989
17
105,978
"Correct Solution: ``` # AOJ 1043: Selecting Teams Advanced to Regional # Python3 2018.7.6 bal4u def pr(i, u): global total print(team[i][0]) total, affi[u] = total+1, affi[u]+1 while True: n = int(input()) if n == 0: break team = [] for i in range(n): id, u, a, p = map(int, input().split()) team.append((id, u, a, p)) team.sort(key=lambda x:(-x[2],x[3],x[0])) total, affi = 0, [0]*1002 for i in range(n): u = team[i][1] if total < 10 and affi[u] < 3: pr(i, u) elif total < 20 and affi[u] < 2: pr(i, u) elif total < 26 and affi[u] < 1: pr(i, u) ```
output
1
52,989
17
105,979
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2 Submitted Solution: ``` # -*- coding: utf-8 -*- from sys import stdin from operator import itemgetter while 1: n = int(stdin.readline().rstrip()) if n == 0: break teams = [] #選抜されたチーム Selected_team_id = [] cnt_selected_teams = 0 #所属ごとのランキング(所属ごとの選抜チーム数) dic_shozoku_and_cntSelected = {} for i in range(n): * t, = map(int, stdin.readline().split()) teams.append(t) if not dic_shozoku_and_cntSelected.__contains__(t[1]): dic_shozoku_and_cntSelected[t[1]] = 0 sorted_teams1 = sorted(teams, key=itemgetter(3, 0)) # ペナルティ、ID sorted_teams = sorted(sorted_teams1, key=itemgetter(2), reverse=True) # 正解数 for t in sorted_teams: cnt_same_shozoku = dic_shozoku_and_cntSelected[t[1]] if cnt_selected_teams < 10: if cnt_same_shozoku < 3: Selected_team_id.append(t[0]) dic_shozoku_and_cntSelected[t[1]] += 1 cnt_selected_teams += 1 elif cnt_selected_teams < 20: if cnt_same_shozoku < 2: Selected_team_id.append(t[0]) dic_shozoku_and_cntSelected[t[1]] += 1 cnt_selected_teams += 1 elif cnt_selected_teams < 26: if cnt_same_shozoku < 1: Selected_team_id.append(t[0]) dic_shozoku_and_cntSelected[t[1]] += 1 cnt_selected_teams += 1 print("\n".join(map(str,Selected_team_id))) ```
instruction
0
52,990
17
105,980
Yes
output
1
52,990
17
105,981
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2 Submitted Solution: ``` # AOJ 1043: Selecting Teams Advanced to Regional # Python3 2018.7.6 bal4u def pr(i, u): global total print(team[i][0]) total, affi[u] = total + 1, affi[u] + 1 while True: n = int(input()) if n == 0: break team = [list(map(int, input().split())) for i in range(n)] team.sort(key=lambda x: (-x[2], x[3], x[0])) total, affi = 0, [0] * 1002 for i in range(n): u = team[i][1] if total < 10 and affi[u] < 3: pr(i, u) elif total < 20 and affi[u] < 2: pr(i, u) elif total < 26 and affi[u] < 1: pr(i, u) ```
instruction
0
52,991
17
105,982
Yes
output
1
52,991
17
105,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to participate in the Asian Regional Qualifiers of the International Collegiate Programming Contest held every year in Japan, we must break through the strict domestic qualifiers. Even though it is a university competition, multiple teams from one school will participate. Therefore, the following selection rules apply to the selection of breakthrough teams so that as many schools as possible can participate in the Asian Qualifiers: Let A be the team and apply the following rules in order of best grade: * Rule 1: If the number of selected teams at that time is less than 10: If the number of teams in the same affiliation as A and selected at that time is less than 3, A will be selected. * Rule 2: If the number of selected teams at that time is less than 20: If the number of teams in the same affiliation as A and selected at that time is less than 2, A will be selected. * Rule 3: If the number of selected teams at that time is less than 26: If there is no team in the same affiliation as A and selected at that time, A will be selected. In addition, the order of grades is determined by the following rules: * The team that solved more problems will be ranked higher. * If the number of problems solved is the same, the team with the smaller penalty will be ranked higher. Enter the ID (integer), affiliation (integer), number of correct answers (integer), and penalty (integer) of each team, and create a program that outputs the ID of the selected team in the order of selection. Please note that teams are not always given in order of grade, so selection rules must be applied after ranking. In this question, if there is a team with the same number of correct answers and the same penalty, the one with the smaller ID will be ranked higher. Input Multiple datasets are given as input. Each dataset is given in the following format: n (number of teams: integer) I1 U1 A1 P1 (ID of first team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) I2 U2 A2 P2 (ID of second team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) .. .. In Un An Pn (ID of nth team, affiliation, number of correct answers, penalty: 4 integers separated by blanks) n is 300 or less, and Ii and Ui are 1 or more and 1000 or less. You can assume that there are no teams with the same ID in a dataset. Ai should be 10 or less and Pi should be 100,000 or less. When n is 0, it is the end of input. Output For each dataset, output the IDs of the selected teams in the order in which they were selected. Please output one ID on one line. Example Input 6 1 1 6 200 2 1 6 300 3 1 6 400 4 2 5 1200 5 1 5 1400 6 3 4 800 3 777 1 5 300 808 2 4 20 123 3 6 500 2 2 1 3 100 1 1 3 100 0 Output 1 2 3 4 6 123 777 808 1 2 Submitted Solution: ``` def main(): while True: n = int(input()) if n == 0: break teams = [] for i in range(n): teams.append(list(map(int, input().split()))) def same_len(l): return len(list(filter(lambda x: x[1] == e[1], ans))) ans = [] for e in sorted(sorted(teams, key=lambda x: x[0]), key=lambda x: x[2], reverse=True): if len(ans) < 10 and same_len(ans) < 3: ans.append(e) elif len(ans) < 20 and same_len(ans) < 2: ans.append(e) elif len(ans) < 26 and same_len(ans) == 0: ans.append(e) for a in ans: print(a[0]) if __name__ == "__main__": main() ```
instruction
0
52,992
17
105,984
No
output
1
52,992
17
105,985
Provide tags and a correct Python 3 solution for this coding contest problem. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3
instruction
0
53,363
17
106,726
Tags: bitmasks, brute force, dfs and similar, greedy Correct Solution: ``` a=int(input()) z=(a*(a-1))//2-1 k=[] for i in range(a):k.append([0]*a) for i in range(z): u,v=map(int,input().split()) u-=1;v-=1 k[u][v]=1 k[v][u]=-1 x,y=0,0 for i in range(a): for j in range(1+i,a): if (k[i][j]==0):x,y=i,j ok=False for t in range(a): if k[x][t]==1 and k[t][y]==1:ok=True if ok:print(x+1,y+1) else:print(1+y,1+x) ```
output
1
53,363
17
106,727
Provide tags and a correct Python 3 solution for this coding contest problem. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3
instruction
0
53,364
17
106,728
Tags: bitmasks, brute force, dfs and similar, greedy Correct Solution: ``` # _ ##################################################################################################################### def missingRecord(nParticipants, currRecord): storage = {str(participant): set() for participant in range(1, nParticipants+1)} for record in currRecord: storage[record[0]].add(record[1]) storageOfnLosers = {participant: len(losers) for participant, losers in storage.items()} sortedParticipants = sorted(storageOfnLosers.keys(), key=lambda x: storageOfnLosers[x]) for i in range(nParticipants): if storageOfnLosers[sortedParticipants[i]] == storageOfnLosers[sortedParticipants[i+1]]: if sortedParticipants[i] in storage[sortedParticipants[i+1]]: storage[sortedParticipants[i+1]].remove(sortedParticipants[i]) missingLoser, = storage[sortedParticipants[i]].difference(storage[sortedParticipants[i+1]]) return f'{sortedParticipants[i+1]} {missingLoser}' elif sortedParticipants[i+1] in storage[sortedParticipants[i]]: storage[sortedParticipants[i]].remove(sortedParticipants[i+1]) missingLoser, = storage[sortedParticipants[i+1]].difference(storage[sortedParticipants[i]]) return f'{sortedParticipants[i]} {missingLoser}' return f'{sortedParticipants[i]} {sortedParticipants[i+1]}' def main(): nParticipants = int(input()) print(missingRecord(nParticipants, (input().split() for x in range(nParticipants*(nParticipants-1)//2-1)))) if __name__ == '__main__': main() ```
output
1
53,364
17
106,729
Provide tags and a correct Python 3 solution for this coding contest problem. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3
instruction
0
53,365
17
106,730
Tags: bitmasks, brute force, dfs and similar, greedy Correct Solution: ``` from collections import defaultdict n = int(input()) wins = defaultdict(int) #loses = defaultdict(int) total = defaultdict(int) for i in range(n*(n-1)//2-1): x,y = [int(x) for x in str(input()).split()] wins[x]+=1 #loses[y]+=1 total[y]+=1 total[x]+=1 for k,v in total.items(): if v<n-1: a = k total[a]+=1 break for k,v in total.items(): if v<n-1: b = k total[b]+=1 if wins[a]>wins[b]: print(a,b) else: print(b,a) ```
output
1
53,365
17
106,731
Provide tags and a correct Python 3 solution for this coding contest problem. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3
instruction
0
53,366
17
106,732
Tags: bitmasks, brute force, dfs and similar, greedy Correct Solution: ``` n=int(input()) L=[0 for i in range(n+1)] wins={} p=(n*(n-1))//2-1 for i in range(p): a,b=map(int,input().split()) L[a]+=1 L[b]+=1 if a in wins: wins[a].append(b) else: wins[a]=[b] M=[] for i in range(1,n+1): if(L[i]<(n-1)): M.append(i) m1=M[0] m2=M[1] co=False pushed=[] if(m1 not in wins): print(m2,m1) else: while(len(wins[m1])!=0 and not co): k=wins[m1][0] if(k==m2): co=True else: if(k in pushed): wins[m1]=wins[m1][1:] else: pushed.append(k) if(k in wins): wins[m1]=wins[m1][1:]+wins[k] else: wins[m1]=wins[m1][1:] if(co): print(m1,m2) else: print(m2,m1) ```
output
1
53,366
17
106,733
Provide tags and a correct Python 3 solution for this coding contest problem. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3
instruction
0
53,367
17
106,734
Tags: bitmasks, brute force, dfs and similar, greedy Correct Solution: ``` def bfs(d,n,u,v): visited=[False]*n queue=[] queue.append(u) while queue: s=queue.pop(0) if s==v: return True visited[s]=True for i in d[s]: if visited[i]==False: queue.append(i) return False n=int(input()) d={} for i in range(n): d[i]=[] deg=[0]*n for i in range(((n*(n-1))//2)-1): x,y=map(int,input().split()) deg[x-1]+=1 deg[y-1]+=1 d[x-1].append(y-1) a=[] for i in range(len(deg)): if deg[i]==n-2: a.append(i) x=bfs(d,n,a[0],a[1]) if x: print(a[0]+1,a[1]+1) else: print(a[1]+1,a[0]+1) ```
output
1
53,367
17
106,735
Provide tags and a correct Python 3 solution for this coding contest problem. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3
instruction
0
53,368
17
106,736
Tags: bitmasks, brute force, dfs and similar, greedy Correct Solution: ``` def bfs(graph,source,destination): queue=[source] visited={source:True} while queue: s=queue.pop(0) if graph.get(s)!=None: for node in graph[s]: if visited.get(node)==None: visited[node]=True queue.append(node) return visited.get(destination) n=int(input()) m=(n*(n-1))//2-1 graph={} a=[0]*(n+1) missing=[] for _ in range(m): u,v=map(int,input().split()) graph.setdefault(u,[]).append(v) a[u]+=1 a[v]+=1 for i in range(1,n+1): if a[i]==n-2: missing.append(i) if bfs(graph,missing[0],missing[1]): print(missing[0],missing[1]) else: print(missing[1],missing[0]) ```
output
1
53,368
17
106,737
Provide tags and a correct Python 3 solution for this coding contest problem. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3
instruction
0
53,369
17
106,738
Tags: bitmasks, brute force, dfs and similar, greedy Correct Solution: ``` n = int(input()) freq = {} wins = {} for i in range(1, n+1): freq[i] = 0 wins[i] = 0 for i in range(n*(n-1)//2 - 1): a, b = [int(p) for p in input().split()] freq[a] += 1 freq[b] += 1 wins[a] += 1 final = [] for i in freq: if freq[i] != n - 1: final.append(i) if wins[final[0]] >= wins[final[1]]: print(*final) else: print(final[1], final[0]) ```
output
1
53,369
17
106,739
Provide tags and a correct Python 3 solution for this coding contest problem. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3
instruction
0
53,370
17
106,740
Tags: bitmasks, brute force, dfs and similar, greedy Correct Solution: ``` import sys def make_larger(cur, value=0): if value < max(values[cur], value): return value = max(values[cur], value) values[cur] = value if cur not in set_larger: return for new in set_larger[cur]: make_larger(new, value+1) n_games = int(sys.stdin.readline()) games = set() ps = [] set_larger = {} values = {} for i in range(int(n_games * (n_games-1) // 2 - 1)): a, b = tuple([int(x) for x in sys.stdin.readline().split()]) ps.append((a, b)) ps.append((b, a)) games.add(a) games.add(b) if b not in set_larger: set_larger[b] = [] set_larger[b].append(a) for game in games: values[game] = 0 for game in games: make_larger(game) for i in range(1, n_games+1): for j in range(1, n_games+1): if i != j: if (i, j) not in ps: if values[i] > values[j]: print(i, j) else: print(j, i) sys.exit(0) ```
output
1
53,370
17
106,741
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3 Submitted Solution: ``` n=int(input()) a=[0]*n b=[0]*n for i in range(n*(n-1)//2-1): c,d=list(map(int,input().split())) a[c-1]+=1 b[c-1]+=1 b[d-1]+=1 f=-1 g=-1 for i in range(n): if b[i]==n-2: if f==-1: f=i+1 else: g=i+1 break if a[f-1]>a[g-1]: print(f,g) else: print(g,f) ```
instruction
0
53,371
17
106,742
Yes
output
1
53,371
17
106,743
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3 Submitted Solution: ``` # Author : nitish420 -------------------------------------------------------------------- import os import sys from io import BytesIO, IOBase # mod=10**9+7 # sys.setrecursionlimit(10**6) # mxm=sys.maxsize # from functools import lru_cache def main(): n=int(input()) d=dict() dp=dict() for i in range(1,n+1): d[i]=0 dp[i]=[] for i in range(1,n*(n-1)//2): a,b=map(int,input().split()) d[a]+=1 d[b]+=1 dp[a].append(b) # print(d) x,y=-1,-1 for i in d: if d[i]==n-1: continue if x==-1: x=i else: y=i break stack=[x] visited=[0]*(n+1) while stack: z=stack.pop() if visited[z]: continue visited[z]=1 if z==y: print(x,y) exit() for item in dp[z]: stack.append(item) print(y,x) # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = 'x' in file.mode or 'r' not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b'\n') + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode('ascii')) self.read = lambda: self.buffer.read().decode('ascii') self.readline = lambda: self.buffer.readline().decode('ascii') sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip('\r\n') # endregion if __name__ == '__main__': main() ```
instruction
0
53,372
17
106,744
Yes
output
1
53,372
17
106,745
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3 Submitted Solution: ``` n=int(input()) a=[0]*n for c in range(n*(n-1)//2-1): (x,y)=map(int,input().split()) a[x-1]+=1 a[y-1]-=1 r = [] for i in range(n): if (a[i]&1)!=(n-1)&1: r.append((a[i],i+1)) r.sort() print(r[1][1],r[0][1]) ```
instruction
0
53,373
17
106,746
Yes
output
1
53,373
17
106,747
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3 Submitted Solution: ``` n = int(input()) m = (n * (n - 1)) // 2 p = [[] for i in range(n + 1)] t = [0] * (n + 1) for i in range(m - 1): a, b = map(int, input().split()) p[a].append(b) t[a] += 1 t[b] += 1 x = 1 + t[1: ].index(n - 2) y = x + 1 + t[x + 1: ].index(n - 2) t = [True] * (n + 1) r = p[x] while r: j = r.pop() for i in p[j]: if i == y: r = True break if t[i]: r.append(i) t[i] = False if r == True: break if r: print(x, y) else: print(y, x) ```
instruction
0
53,374
17
106,748
Yes
output
1
53,374
17
106,749
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3 Submitted Solution: ``` n = int(input()) nogames = (n * (n - 1)) // 2 gamesplayed = [0] * n order_pairs = {} for i in range(nogames - 1): x, y = map(lambda t: int(t), input().split()) gamesplayed[x - 1] += 1 gamesplayed[y - 1] += 1 order_pairs[(x, y)] = 1 order_pairs[(y, x)] = -1 x1, y1 = [idx for idx, x in enumerate(gamesplayed) if x < n - 1] #print (x1, y1) players = [i + 1 for i in range(n)] def sort_func(a, b): if (a, b) in order_pairs: return order_pairs[(a, b)] return 0 import functools players.sort(key=functools.cmp_to_key(sort_func)) #print (players) if (players[x1] > players[y1]): print(x1 + 1, y1 + 1) else: print(y1 + 1, x1 + 1) ```
instruction
0
53,375
17
106,750
No
output
1
53,375
17
106,751
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3 Submitted Solution: ``` import sys input = sys.stdin.readline def I(): return input().strip() def II(): return int(input().strip()) def LI(): return [*map(int, input().strip().split())] import copy import re import string, math, time, functools, random, fractions from heapq import heappush, heappop, heapify from bisect import bisect_left, bisect_right from collections import deque, defaultdict, Counter, OrderedDict from itertools import permutations, combinations, groupby, count, filterfalse from operator import itemgetter l = [] l1 = [] n = II() for _ in range(((n*(n-1))//2)-1): x,y = LI() l.append(x) l.append(y) # print(l) c = Counter(l) # print(c) for k,v in c.items(): if v!=n-1: l1.append(k) print(*l1) ```
instruction
0
53,376
17
106,752
No
output
1
53,376
17
106,753
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3 Submitted Solution: ``` a=int(input()) z=[[0]*(a+1) for _ in " "*(a+1)] for i in range((a*(a-1))//2-1): u,v=map(int,input().split()) z[u][v]=1 z[v][u]=-1 for i in range(1,a+1): for j in range(1,a+1): for k in range(1,1+a): if i==j or j==k or i==k:continue if z[i][j] and z[j][k] and z[i][k]==0:exit(print(i,k)) ```
instruction
0
53,377
17
106,754
No
output
1
53,377
17
106,755
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The tournament «Sleepyhead-2010» in the rapid falling asleep has just finished in Berland. n best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. n·(n - 1) / 2 games were played during the tournament, and each participant had a match with each other participant. The rules of the game are quite simple — the participant who falls asleep first wins. The secretary made a record of each game in the form «xi yi», where xi and yi are the numbers of participants. The first number in each pair is a winner (i.e. xi is a winner and yi is a loser). There is no draws. Recently researches form the «Institute Of Sleep» have found that every person is characterized by a value pj — the speed of falling asleep. The person who has lower speed wins. Every person has its own value pj, constant during the life. It is known that all participants of the tournament have distinct speeds of falling asleep. Also it was found that the secretary made records about all the games except one. You are to find the result of the missing game. Input The first line contains one integer n (3 ≤ n ≤ 50) — the number of participants. The following n·(n - 1) / 2 - 1 lines contain the results of the games. Each game is described in a single line by two integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi и yi are the numbers of the opponents in this game. It is known that during the tournament each of the n participants played n - 1 games, one game with each other participant. Output Output two integers x and y — the missing record. If there are several solutions, output any of them. Examples Input 4 4 2 4 1 2 3 2 1 3 1 Output 4 3 Submitted Solution: ``` from sys import * from bisect import * from collections import * from itertools import * from fractions import * from datetime import * from math import * Input = [] #stdin = open('in', 'r') #stdout = open('out', 'w') ## for i, val in enumerate(array, start_i_value) def Out(x): stdout.write(str(x) + '\n') def In(): return stdin.readline().strip() def inputGrab(): for line in stdin: Input.extend(map(str, line.strip().split())) '''--------------------------------------------------------------------------------''' def main(): n = int(In()) cnt = [0]*(n+1) t = (n*(n-1))//2 - 1 #print(t) for _ in range(t): x, y = map(int, In().split()) cnt[x] += 1 cnt[y] += 1 x = -1 y = -1 #print(cnt) for i in range(1, n+1): #print(i, cnt[i]) if(cnt[i] < n-1): if(x == -1): x = i else: y = i; print(x, y) if __name__ == '__main__': main() ```
instruction
0
53,378
17
106,756
No
output
1
53,378
17
106,757
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vadim is really keen on travelling. Recently he heard about kayaking activity near his town and became very excited about it, so he joined a party of kayakers. Now the party is ready to start its journey, but firstly they have to choose kayaks. There are 2·n people in the group (including Vadim), and they have exactly n - 1 tandem kayaks (each of which, obviously, can carry two people) and 2 single kayaks. i-th person's weight is wi, and weight is an important matter in kayaking — if the difference between the weights of two people that sit in the same tandem kayak is too large, then it can crash. And, of course, people want to distribute their seats in kayaks in order to minimize the chances that kayaks will crash. Formally, the instability of a single kayak is always 0, and the instability of a tandem kayak is the absolute difference between weights of the people that are in this kayak. Instability of the whole journey is the total instability of all kayaks. Help the party to determine minimum possible total instability! Input The first line contains one number n (2 ≤ n ≤ 50). The second line contains 2·n integer numbers w1, w2, ..., w2n, where wi is weight of person i (1 ≤ wi ≤ 1000). Output Print minimum possible total instability. Examples Input 2 1 2 3 4 Output 1 Input 4 1 3 4 6 3 4 100 200 Output 5 Submitted Solution: ``` def main(): nK = int(input()) - 1 wL = list(map(int,input().split())) wL = sorted(wL) ans = findScore(wL) print(ans) def findScore(wL): scoreL = [] for i in range(len(wL)-1): for j in range(i+1,len(wL)): temp = wL.copy() temp.pop(temp.index(wL[i])) temp.pop(temp.index(wL[j])) n = 0 score1 = 0 for k in range(len(temp)//2): score1 += temp[n+1] - temp[n] n += 2 scoreL.append(score1) return min(scoreL) ans = main() ```
instruction
0
53,598
17
107,196
Yes
output
1
53,598
17
107,197
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vadim is really keen on travelling. Recently he heard about kayaking activity near his town and became very excited about it, so he joined a party of kayakers. Now the party is ready to start its journey, but firstly they have to choose kayaks. There are 2·n people in the group (including Vadim), and they have exactly n - 1 tandem kayaks (each of which, obviously, can carry two people) and 2 single kayaks. i-th person's weight is wi, and weight is an important matter in kayaking — if the difference between the weights of two people that sit in the same tandem kayak is too large, then it can crash. And, of course, people want to distribute their seats in kayaks in order to minimize the chances that kayaks will crash. Formally, the instability of a single kayak is always 0, and the instability of a tandem kayak is the absolute difference between weights of the people that are in this kayak. Instability of the whole journey is the total instability of all kayaks. Help the party to determine minimum possible total instability! Input The first line contains one number n (2 ≤ n ≤ 50). The second line contains 2·n integer numbers w1, w2, ..., w2n, where wi is weight of person i (1 ≤ wi ≤ 1000). Output Print minimum possible total instability. Examples Input 2 1 2 3 4 Output 1 Input 4 1 3 4 6 3 4 100 200 Output 5 Submitted Solution: ``` n=int(input()) l=list(map(int,input().split())) from itertools import combinations from copy import deepcopy answ=[] for i in combinations(l,2): ls=deepcopy(l) for j in i: ls.remove(j) ls.sort() ans=0 for i in range(len(ls)-1): ans+=ls[i+1]-ls[i] answ.append(ans) print(min(answ)) ```
instruction
0
53,599
17
107,198
No
output
1
53,599
17
107,199
Provide tags and a correct Python 3 solution for this coding contest problem. You have n students under your control and you have to compose exactly two teams consisting of some subset of your students. Each student had his own skill, the i-th student skill is denoted by an integer a_i (different students can have the same skills). So, about the teams. Firstly, these two teams should have the same size. Two more constraints: * The first team should consist of students with distinct skills (i.e. all skills in the first team are unique). * The second team should consist of students with the same skills (i.e. all skills in the second team are equal). Note that it is permissible that some student of the first team has the same skill as a student of the second team. Consider some examples (skills are given): * [1, 2, 3], [4, 4] is not a good pair of teams because sizes should be the same; * [1, 1, 2], [3, 3, 3] is not a good pair of teams because the first team should not contain students with the same skills; * [1, 2, 3], [3, 4, 4] is not a good pair of teams because the second team should contain students with the same skills; * [1, 2, 3], [3, 3, 3] is a good pair of teams; * [5], [6] is a good pair of teams. Your task is to find the maximum possible size x for which it is possible to compose a valid pair of teams, where each team size is x (skills in the first team needed to be unique, skills in the second team should be the same between them). A student cannot be part of more than one team. You have to answer t independent test cases. Input The first line of the input contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow. The first line of the test case contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of students. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n), where a_i is the skill of the i-th student. Different students can have the same skills. It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5 (∑ n ≤ 2 ⋅ 10^5). Output For each test case, print the answer — the maximum possible size x for which it is possible to compose a valid pair of teams, where each team size is x. Example Input 4 7 4 2 4 1 4 3 4 5 2 1 5 4 3 1 1 4 1 1 1 3 Output 3 1 0 2 Note In the first test case of the example, it is possible to construct two teams of size 3: the first team is [1, 2, 4] and the second team is [4, 4, 4]. Note, that there are some other ways to construct two valid teams of size 3.
instruction
0
54,077
17
108,154
Tags: binary search, greedy, implementation, sortings Correct Solution: ``` def solve(a): d = {} for x in a: d[x] = d.get(x, 0) + 1 mf = max(f for x, f in d.items()) return max(min(len(d)-1, mf), min(len(d), mf-1)) t = int(input()) for _ in range(t): n = int(input()) a = list(map(int, input().split())) print(solve(a)) ```
output
1
54,077
17
108,155
Provide tags and a correct Python 3 solution for this coding contest problem. You have n students under your control and you have to compose exactly two teams consisting of some subset of your students. Each student had his own skill, the i-th student skill is denoted by an integer a_i (different students can have the same skills). So, about the teams. Firstly, these two teams should have the same size. Two more constraints: * The first team should consist of students with distinct skills (i.e. all skills in the first team are unique). * The second team should consist of students with the same skills (i.e. all skills in the second team are equal). Note that it is permissible that some student of the first team has the same skill as a student of the second team. Consider some examples (skills are given): * [1, 2, 3], [4, 4] is not a good pair of teams because sizes should be the same; * [1, 1, 2], [3, 3, 3] is not a good pair of teams because the first team should not contain students with the same skills; * [1, 2, 3], [3, 4, 4] is not a good pair of teams because the second team should contain students with the same skills; * [1, 2, 3], [3, 3, 3] is a good pair of teams; * [5], [6] is a good pair of teams. Your task is to find the maximum possible size x for which it is possible to compose a valid pair of teams, where each team size is x (skills in the first team needed to be unique, skills in the second team should be the same between them). A student cannot be part of more than one team. You have to answer t independent test cases. Input The first line of the input contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow. The first line of the test case contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of students. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n), where a_i is the skill of the i-th student. Different students can have the same skills. It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5 (∑ n ≤ 2 ⋅ 10^5). Output For each test case, print the answer — the maximum possible size x for which it is possible to compose a valid pair of teams, where each team size is x. Example Input 4 7 4 2 4 1 4 3 4 5 2 1 5 4 3 1 1 4 1 1 1 3 Output 3 1 0 2 Note In the first test case of the example, it is possible to construct two teams of size 3: the first team is [1, 2, 4] and the second team is [4, 4, 4]. Note, that there are some other ways to construct two valid teams of size 3.
instruction
0
54,078
17
108,156
Tags: binary search, greedy, implementation, sortings Correct Solution: ``` from collections import* for s in[*open(0)][2::2]:a=Counter(s.split()).values();x=len(a);y=max(a);print(min(x,y)-(x==y)) ```
output
1
54,078
17
108,157
Provide tags and a correct Python 3 solution for this coding contest problem. You have n students under your control and you have to compose exactly two teams consisting of some subset of your students. Each student had his own skill, the i-th student skill is denoted by an integer a_i (different students can have the same skills). So, about the teams. Firstly, these two teams should have the same size. Two more constraints: * The first team should consist of students with distinct skills (i.e. all skills in the first team are unique). * The second team should consist of students with the same skills (i.e. all skills in the second team are equal). Note that it is permissible that some student of the first team has the same skill as a student of the second team. Consider some examples (skills are given): * [1, 2, 3], [4, 4] is not a good pair of teams because sizes should be the same; * [1, 1, 2], [3, 3, 3] is not a good pair of teams because the first team should not contain students with the same skills; * [1, 2, 3], [3, 4, 4] is not a good pair of teams because the second team should contain students with the same skills; * [1, 2, 3], [3, 3, 3] is a good pair of teams; * [5], [6] is a good pair of teams. Your task is to find the maximum possible size x for which it is possible to compose a valid pair of teams, where each team size is x (skills in the first team needed to be unique, skills in the second team should be the same between them). A student cannot be part of more than one team. You have to answer t independent test cases. Input The first line of the input contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow. The first line of the test case contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of students. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n), where a_i is the skill of the i-th student. Different students can have the same skills. It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5 (∑ n ≤ 2 ⋅ 10^5). Output For each test case, print the answer — the maximum possible size x for which it is possible to compose a valid pair of teams, where each team size is x. Example Input 4 7 4 2 4 1 4 3 4 5 2 1 5 4 3 1 1 4 1 1 1 3 Output 3 1 0 2 Note In the first test case of the example, it is possible to construct two teams of size 3: the first team is [1, 2, 4] and the second team is [4, 4, 4]. Note, that there are some other ways to construct two valid teams of size 3.
instruction
0
54,079
17
108,158
Tags: binary search, greedy, implementation, sortings Correct Solution: ``` from collections import defaultdict t = int(input()) for _ in range(t): n = int(input()) a = map(int, input().split()) d = defaultdict(int) for i in a: d[i] += 1 first_team = len(d.keys()) second_team = max(d.values()) if first_team == second_team: print(first_team - 1) else: print(min(first_team, second_team)) ```
output
1
54,079
17
108,159
Provide tags and a correct Python 3 solution for this coding contest problem. You have n students under your control and you have to compose exactly two teams consisting of some subset of your students. Each student had his own skill, the i-th student skill is denoted by an integer a_i (different students can have the same skills). So, about the teams. Firstly, these two teams should have the same size. Two more constraints: * The first team should consist of students with distinct skills (i.e. all skills in the first team are unique). * The second team should consist of students with the same skills (i.e. all skills in the second team are equal). Note that it is permissible that some student of the first team has the same skill as a student of the second team. Consider some examples (skills are given): * [1, 2, 3], [4, 4] is not a good pair of teams because sizes should be the same; * [1, 1, 2], [3, 3, 3] is not a good pair of teams because the first team should not contain students with the same skills; * [1, 2, 3], [3, 4, 4] is not a good pair of teams because the second team should contain students with the same skills; * [1, 2, 3], [3, 3, 3] is a good pair of teams; * [5], [6] is a good pair of teams. Your task is to find the maximum possible size x for which it is possible to compose a valid pair of teams, where each team size is x (skills in the first team needed to be unique, skills in the second team should be the same between them). A student cannot be part of more than one team. You have to answer t independent test cases. Input The first line of the input contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow. The first line of the test case contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of students. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n), where a_i is the skill of the i-th student. Different students can have the same skills. It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5 (∑ n ≤ 2 ⋅ 10^5). Output For each test case, print the answer — the maximum possible size x for which it is possible to compose a valid pair of teams, where each team size is x. Example Input 4 7 4 2 4 1 4 3 4 5 2 1 5 4 3 1 1 4 1 1 1 3 Output 3 1 0 2 Note In the first test case of the example, it is possible to construct two teams of size 3: the first team is [1, 2, 4] and the second team is [4, 4, 4]. Note, that there are some other ways to construct two valid teams of size 3.
instruction
0
54,080
17
108,160
Tags: binary search, greedy, implementation, sortings Correct Solution: ``` for q in range(int(input())): n = int(input()) a = list(map(int,input().split())) d = {} uni = 0 for i in a: if d.get(i, 0) == 0: uni+=1 d[i] = 1 else: d[i]+=1 res = 0 uni-=1 for k in d.keys(): res = max(min(d[k], uni),res) if d[k] > uni: if d[k] - uni >= 2: res = max(min(d[k]-1, uni+1),res) print(res) ```
output
1
54,080
17
108,161