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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Saratov State University Olympiad Programmers Training Center (SSU OPTC) has n students. For each student you know the number of times he/she has participated in the ACM ICPC world programming championship. According to the ACM ICPC rules, each person can participate in the world championship at most 5 times. The head of the SSU OPTC is recently gathering teams to participate in the world championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least k times? Input The first line contains two integers, n and k (1 ≀ n ≀ 2000; 1 ≀ k ≀ 5). The next line contains n integers: y1, y2, ..., yn (0 ≀ yi ≀ 5), where yi shows the number of times the i-th person participated in the ACM ICPC world championship. Output Print a single number β€” the answer to the problem. Examples Input 5 2 0 4 5 1 0 Output 1 Input 6 4 0 1 2 3 4 5 Output 0 Input 6 5 0 0 0 0 0 0 Output 2 Note In the first sample only one team could be made: the first, the fourth and the fifth participants. In the second sample no teams could be created. In the third sample two teams could be created. Any partition into two teams fits. Submitted Solution: ``` import math n, k = input().split() n = int(n) k = int(k) list_of_years = list(map(int, input().split())) # print(list_of_years) count = 0 for i in list_of_years: if 5 - i >= k: count = count + 1 total_team = math.floor(count / 3) print(total_team) ```
instruction
0
105,611
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211,222
Yes
output
1
105,611
17
211,223
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Saratov State University Olympiad Programmers Training Center (SSU OPTC) has n students. For each student you know the number of times he/she has participated in the ACM ICPC world programming championship. According to the ACM ICPC rules, each person can participate in the world championship at most 5 times. The head of the SSU OPTC is recently gathering teams to participate in the world championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least k times? Input The first line contains two integers, n and k (1 ≀ n ≀ 2000; 1 ≀ k ≀ 5). The next line contains n integers: y1, y2, ..., yn (0 ≀ yi ≀ 5), where yi shows the number of times the i-th person participated in the ACM ICPC world championship. Output Print a single number β€” the answer to the problem. Examples Input 5 2 0 4 5 1 0 Output 1 Input 6 4 0 1 2 3 4 5 Output 0 Input 6 5 0 0 0 0 0 0 Output 2 Note In the first sample only one team could be made: the first, the fourth and the fifth participants. In the second sample no teams could be created. In the third sample two teams could be created. Any partition into two teams fits. Submitted Solution: ``` n=[int(x) for x in input().split()] a=[int(x) for x in input().split()] a=sorted(a) count=0 if(len(a)>=3): for i in range(len(a)): if(a[i]==0 or a[i]==1): count=count+1 print(count//3) ```
instruction
0
105,612
17
211,224
No
output
1
105,612
17
211,225
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Saratov State University Olympiad Programmers Training Center (SSU OPTC) has n students. For each student you know the number of times he/she has participated in the ACM ICPC world programming championship. According to the ACM ICPC rules, each person can participate in the world championship at most 5 times. The head of the SSU OPTC is recently gathering teams to participate in the world championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least k times? Input The first line contains two integers, n and k (1 ≀ n ≀ 2000; 1 ≀ k ≀ 5). The next line contains n integers: y1, y2, ..., yn (0 ≀ yi ≀ 5), where yi shows the number of times the i-th person participated in the ACM ICPC world championship. Output Print a single number β€” the answer to the problem. Examples Input 5 2 0 4 5 1 0 Output 1 Input 6 4 0 1 2 3 4 5 Output 0 Input 6 5 0 0 0 0 0 0 Output 2 Note In the first sample only one team could be made: the first, the fourth and the fifth participants. In the second sample no teams could be created. In the third sample two teams could be created. Any partition into two teams fits. Submitted Solution: ``` n, k = map(int, input().split()) d = list(map(int, input().split())) u = [] for i in range(n): if 5 - d[i] >= k: u.append(5 - d[i]) m = len(u) k = 3 n_f = 1 m_f = 1 for i in range(1, m + 1): m_f *= i mk_f = 1 for i in range(1, m - k + 1): mk_f *= i k_f = 1 * 2 * 3 print(int(m_f / (mk_f * k_f))) ```
instruction
0
105,613
17
211,226
No
output
1
105,613
17
211,227
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Saratov State University Olympiad Programmers Training Center (SSU OPTC) has n students. For each student you know the number of times he/she has participated in the ACM ICPC world programming championship. According to the ACM ICPC rules, each person can participate in the world championship at most 5 times. The head of the SSU OPTC is recently gathering teams to participate in the world championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least k times? Input The first line contains two integers, n and k (1 ≀ n ≀ 2000; 1 ≀ k ≀ 5). The next line contains n integers: y1, y2, ..., yn (0 ≀ yi ≀ 5), where yi shows the number of times the i-th person participated in the ACM ICPC world championship. Output Print a single number β€” the answer to the problem. Examples Input 5 2 0 4 5 1 0 Output 1 Input 6 4 0 1 2 3 4 5 Output 0 Input 6 5 0 0 0 0 0 0 Output 2 Note In the first sample only one team could be made: the first, the fourth and the fifth participants. In the second sample no teams could be created. In the third sample two teams could be created. Any partition into two teams fits. Submitted Solution: ``` n,k=map(int,input().split()) a=sorted(list(map(int,input().split()))) for i in range(len(a)): if a[i]<=5-k: i+=1 print(i//3) ```
instruction
0
105,614
17
211,228
No
output
1
105,614
17
211,229
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Saratov State University Olympiad Programmers Training Center (SSU OPTC) has n students. For each student you know the number of times he/she has participated in the ACM ICPC world programming championship. According to the ACM ICPC rules, each person can participate in the world championship at most 5 times. The head of the SSU OPTC is recently gathering teams to participate in the world championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least k times? Input The first line contains two integers, n and k (1 ≀ n ≀ 2000; 1 ≀ k ≀ 5). The next line contains n integers: y1, y2, ..., yn (0 ≀ yi ≀ 5), where yi shows the number of times the i-th person participated in the ACM ICPC world championship. Output Print a single number β€” the answer to the problem. Examples Input 5 2 0 4 5 1 0 Output 1 Input 6 4 0 1 2 3 4 5 Output 0 Input 6 5 0 0 0 0 0 0 Output 2 Note In the first sample only one team could be made: the first, the fourth and the fifth participants. In the second sample no teams could be created. In the third sample two teams could be created. Any partition into two teams fits. Submitted Solution: ``` import math s = 0 n,k = map(int, input().split()) l =list(map(int,input().strip().split()))[:n] l.sort() for i in l: f = i+k if i<5 and f<=5: s = s+1 if s>0 and s%3==0: print(math.floor(s/3)) else: print(0) ```
instruction
0
105,615
17
211,230
No
output
1
105,615
17
211,231
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Famous Brazil city Rio de Janeiro holds a tennis tournament and Ostap Bender doesn't want to miss this event. There will be n players participating, and the tournament will follow knockout rules from the very first game. That means, that if someone loses a game he leaves the tournament immediately. Organizers are still arranging tournament grid (i.e. the order games will happen and who is going to play with whom) but they have already fixed one rule: two players can play against each other only if the number of games one of them has already played differs by no more than one from the number of games the other one has already played. Of course, both players had to win all their games in order to continue participating in the tournament. Tournament hasn't started yet so the audience is a bit bored. Ostap decided to find out what is the maximum number of games the winner of the tournament can take part in (assuming the rule above is used). However, it is unlikely he can deal with this problem without your help. Input The only line of the input contains a single integer n (2 ≀ n ≀ 1018) β€” the number of players to participate in the tournament. Output Print the maximum number of games in which the winner of the tournament can take part. Examples Input 2 Output 1 Input 3 Output 2 Input 4 Output 2 Input 10 Output 4 Note In all samples we consider that player number 1 is the winner. In the first sample, there would be only one game so the answer is 1. In the second sample, player 1 can consequently beat players 2 and 3. In the third sample, player 1 can't play with each other player as after he plays with players 2 and 3 he can't play against player 4, as he has 0 games played, while player 1 already played 2. Thus, the answer is 2 and to achieve we make pairs (1, 2) and (3, 4) and then clash the winners. Submitted Solution: ``` n = int(input()) a, b = 2, 1 match = 0 while a<=n: a, b = a+b, a match += 1 print(match) ```
instruction
0
105,760
17
211,520
Yes
output
1
105,760
17
211,521
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Famous Brazil city Rio de Janeiro holds a tennis tournament and Ostap Bender doesn't want to miss this event. There will be n players participating, and the tournament will follow knockout rules from the very first game. That means, that if someone loses a game he leaves the tournament immediately. Organizers are still arranging tournament grid (i.e. the order games will happen and who is going to play with whom) but they have already fixed one rule: two players can play against each other only if the number of games one of them has already played differs by no more than one from the number of games the other one has already played. Of course, both players had to win all their games in order to continue participating in the tournament. Tournament hasn't started yet so the audience is a bit bored. Ostap decided to find out what is the maximum number of games the winner of the tournament can take part in (assuming the rule above is used). However, it is unlikely he can deal with this problem without your help. Input The only line of the input contains a single integer n (2 ≀ n ≀ 1018) β€” the number of players to participate in the tournament. Output Print the maximum number of games in which the winner of the tournament can take part. Examples Input 2 Output 1 Input 3 Output 2 Input 4 Output 2 Input 10 Output 4 Note In all samples we consider that player number 1 is the winner. In the first sample, there would be only one game so the answer is 1. In the second sample, player 1 can consequently beat players 2 and 3. In the third sample, player 1 can't play with each other player as after he plays with players 2 and 3 he can't play against player 4, as he has 0 games played, while player 1 already played 2. Thus, the answer is 2 and to achieve we make pairs (1, 2) and (3, 4) and then clash the winners. Submitted Solution: ``` n=int(input()) dp = [0 for i in range(100)] dp[0]=1 dp[1]=2 i=1 while 1: if dp[i]==0: dp[i]=dp[i-1]+dp[i-2] if dp[i]>n: print(i-1) break else: i+=1 ```
instruction
0
105,761
17
211,522
Yes
output
1
105,761
17
211,523
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Famous Brazil city Rio de Janeiro holds a tennis tournament and Ostap Bender doesn't want to miss this event. There will be n players participating, and the tournament will follow knockout rules from the very first game. That means, that if someone loses a game he leaves the tournament immediately. Organizers are still arranging tournament grid (i.e. the order games will happen and who is going to play with whom) but they have already fixed one rule: two players can play against each other only if the number of games one of them has already played differs by no more than one from the number of games the other one has already played. Of course, both players had to win all their games in order to continue participating in the tournament. Tournament hasn't started yet so the audience is a bit bored. Ostap decided to find out what is the maximum number of games the winner of the tournament can take part in (assuming the rule above is used). However, it is unlikely he can deal with this problem without your help. Input The only line of the input contains a single integer n (2 ≀ n ≀ 1018) β€” the number of players to participate in the tournament. Output Print the maximum number of games in which the winner of the tournament can take part. Examples Input 2 Output 1 Input 3 Output 2 Input 4 Output 2 Input 10 Output 4 Note In all samples we consider that player number 1 is the winner. In the first sample, there would be only one game so the answer is 1. In the second sample, player 1 can consequently beat players 2 and 3. In the third sample, player 1 can't play with each other player as after he plays with players 2 and 3 he can't play against player 4, as he has 0 games played, while player 1 already played 2. Thus, the answer is 2 and to achieve we make pairs (1, 2) and (3, 4) and then clash the winners. Submitted Solution: ``` n=int(input()) fib=1 last=1 i=0 while True: i+=1 fib=fib+last last=fib-last if fib>n: print(i-1) exit(0) #Π§Ρ‚ΠΎ с codeforces? ```
instruction
0
105,762
17
211,524
Yes
output
1
105,762
17
211,525
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Famous Brazil city Rio de Janeiro holds a tennis tournament and Ostap Bender doesn't want to miss this event. There will be n players participating, and the tournament will follow knockout rules from the very first game. That means, that if someone loses a game he leaves the tournament immediately. Organizers are still arranging tournament grid (i.e. the order games will happen and who is going to play with whom) but they have already fixed one rule: two players can play against each other only if the number of games one of them has already played differs by no more than one from the number of games the other one has already played. Of course, both players had to win all their games in order to continue participating in the tournament. Tournament hasn't started yet so the audience is a bit bored. Ostap decided to find out what is the maximum number of games the winner of the tournament can take part in (assuming the rule above is used). However, it is unlikely he can deal with this problem without your help. Input The only line of the input contains a single integer n (2 ≀ n ≀ 1018) β€” the number of players to participate in the tournament. Output Print the maximum number of games in which the winner of the tournament can take part. Examples Input 2 Output 1 Input 3 Output 2 Input 4 Output 2 Input 10 Output 4 Note In all samples we consider that player number 1 is the winner. In the first sample, there would be only one game so the answer is 1. In the second sample, player 1 can consequently beat players 2 and 3. In the third sample, player 1 can't play with each other player as after he plays with players 2 and 3 he can't play against player 4, as he has 0 games played, while player 1 already played 2. Thus, the answer is 2 and to achieve we make pairs (1, 2) and (3, 4) and then clash the winners. Submitted Solution: ``` n = int(input()) a = 1 if n == 2: print(1) exit() b = 2 ind = 0 while b <= n: ind+=1 a, b = b, a+b print(ind) ```
instruction
0
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Yes
output
1
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Famous Brazil city Rio de Janeiro holds a tennis tournament and Ostap Bender doesn't want to miss this event. There will be n players participating, and the tournament will follow knockout rules from the very first game. That means, that if someone loses a game he leaves the tournament immediately. Organizers are still arranging tournament grid (i.e. the order games will happen and who is going to play with whom) but they have already fixed one rule: two players can play against each other only if the number of games one of them has already played differs by no more than one from the number of games the other one has already played. Of course, both players had to win all their games in order to continue participating in the tournament. Tournament hasn't started yet so the audience is a bit bored. Ostap decided to find out what is the maximum number of games the winner of the tournament can take part in (assuming the rule above is used). However, it is unlikely he can deal with this problem without your help. Input The only line of the input contains a single integer n (2 ≀ n ≀ 1018) β€” the number of players to participate in the tournament. Output Print the maximum number of games in which the winner of the tournament can take part. Examples Input 2 Output 1 Input 3 Output 2 Input 4 Output 2 Input 10 Output 4 Note In all samples we consider that player number 1 is the winner. In the first sample, there would be only one game so the answer is 1. In the second sample, player 1 can consequently beat players 2 and 3. In the third sample, player 1 can't play with each other player as after he plays with players 2 and 3 he can't play against player 4, as he has 0 games played, while player 1 already played 2. Thus, the answer is 2 and to achieve we make pairs (1, 2) and (3, 4) and then clash the winners. Submitted Solution: ``` __author__ = 'Alexander' import sys import math n = int(input()) # arr = [] # arr[0] = 0 # arr[1] = 1 def getVal(n): val = math.trunc(n/2) if n == 1 or n == 0: return 1 if n==2 or n == 3: return 2 elif n%2 == 0: return getVal(val+1)+1 else: return getVal(val)+1 # print(arr) # for i in range(2, n): # val = math.trunc(i/2) # if i%2 == 0: # arr[i] = max(arr[val],arr[val-1])+1 # else: # arr[i] = arr[val]+1 # print(arr) print(getVal(n-1)) ```
instruction
0
105,764
17
211,528
No
output
1
105,764
17
211,529
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Famous Brazil city Rio de Janeiro holds a tennis tournament and Ostap Bender doesn't want to miss this event. There will be n players participating, and the tournament will follow knockout rules from the very first game. That means, that if someone loses a game he leaves the tournament immediately. Organizers are still arranging tournament grid (i.e. the order games will happen and who is going to play with whom) but they have already fixed one rule: two players can play against each other only if the number of games one of them has already played differs by no more than one from the number of games the other one has already played. Of course, both players had to win all their games in order to continue participating in the tournament. Tournament hasn't started yet so the audience is a bit bored. Ostap decided to find out what is the maximum number of games the winner of the tournament can take part in (assuming the rule above is used). However, it is unlikely he can deal with this problem without your help. Input The only line of the input contains a single integer n (2 ≀ n ≀ 1018) β€” the number of players to participate in the tournament. Output Print the maximum number of games in which the winner of the tournament can take part. Examples Input 2 Output 1 Input 3 Output 2 Input 4 Output 2 Input 10 Output 4 Note In all samples we consider that player number 1 is the winner. In the first sample, there would be only one game so the answer is 1. In the second sample, player 1 can consequently beat players 2 and 3. In the third sample, player 1 can't play with each other player as after he plays with players 2 and 3 he can't play against player 4, as he has 0 games played, while player 1 already played 2. Thus, the answer is 2 and to achieve we make pairs (1, 2) and (3, 4) and then clash the winners. Submitted Solution: ``` def bin_s(n): l = 1; r = 10000000000000; mid = (l + r) // 2; while (l + 1 < r): if ( ((mid + 1) * mid) // 2 <= n): l = mid; else: r = mid; mid = (l + r) // 2; return r lst = [eval(i) for i in input().split()] n = lst[0] n -= 2; if (n != 0): print(bin_s(n)) else: print(1) ```
instruction
0
105,765
17
211,530
No
output
1
105,765
17
211,531
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Famous Brazil city Rio de Janeiro holds a tennis tournament and Ostap Bender doesn't want to miss this event. There will be n players participating, and the tournament will follow knockout rules from the very first game. That means, that if someone loses a game he leaves the tournament immediately. Organizers are still arranging tournament grid (i.e. the order games will happen and who is going to play with whom) but they have already fixed one rule: two players can play against each other only if the number of games one of them has already played differs by no more than one from the number of games the other one has already played. Of course, both players had to win all their games in order to continue participating in the tournament. Tournament hasn't started yet so the audience is a bit bored. Ostap decided to find out what is the maximum number of games the winner of the tournament can take part in (assuming the rule above is used). However, it is unlikely he can deal with this problem without your help. Input The only line of the input contains a single integer n (2 ≀ n ≀ 1018) β€” the number of players to participate in the tournament. Output Print the maximum number of games in which the winner of the tournament can take part. Examples Input 2 Output 1 Input 3 Output 2 Input 4 Output 2 Input 10 Output 4 Note In all samples we consider that player number 1 is the winner. In the first sample, there would be only one game so the answer is 1. In the second sample, player 1 can consequently beat players 2 and 3. In the third sample, player 1 can't play with each other player as after he plays with players 2 and 3 he can't play against player 4, as he has 0 games played, while player 1 already played 2. Thus, the answer is 2 and to achieve we make pairs (1, 2) and (3, 4) and then clash the winners. Submitted Solution: ``` import math n = int(input()) print(math.ceil(math.sqrt(n))) ```
instruction
0
105,766
17
211,532
No
output
1
105,766
17
211,533
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Famous Brazil city Rio de Janeiro holds a tennis tournament and Ostap Bender doesn't want to miss this event. There will be n players participating, and the tournament will follow knockout rules from the very first game. That means, that if someone loses a game he leaves the tournament immediately. Organizers are still arranging tournament grid (i.e. the order games will happen and who is going to play with whom) but they have already fixed one rule: two players can play against each other only if the number of games one of them has already played differs by no more than one from the number of games the other one has already played. Of course, both players had to win all their games in order to continue participating in the tournament. Tournament hasn't started yet so the audience is a bit bored. Ostap decided to find out what is the maximum number of games the winner of the tournament can take part in (assuming the rule above is used). However, it is unlikely he can deal with this problem without your help. Input The only line of the input contains a single integer n (2 ≀ n ≀ 1018) β€” the number of players to participate in the tournament. Output Print the maximum number of games in which the winner of the tournament can take part. Examples Input 2 Output 1 Input 3 Output 2 Input 4 Output 2 Input 10 Output 4 Note In all samples we consider that player number 1 is the winner. In the first sample, there would be only one game so the answer is 1. In the second sample, player 1 can consequently beat players 2 and 3. In the third sample, player 1 can't play with each other player as after he plays with players 2 and 3 he can't play against player 4, as he has 0 games played, while player 1 already played 2. Thus, the answer is 2 and to achieve we make pairs (1, 2) and (3, 4) and then clash the winners. Submitted Solution: ``` from math import log2 as log,ceil print(ceil(log(int(input())))) ```
instruction
0
105,767
17
211,534
No
output
1
105,767
17
211,535
Provide tags and a correct Python 3 solution for this coding contest problem. Vus the [Cossack](https://en.wikipedia.org/wiki/Cossacks) holds a programming competition, in which n people participate. He decided to award them all with pens and notebooks. It is known that Vus has exactly m pens and k notebooks. Determine whether the Cossack can reward all participants, giving each of them at least one pen and at least one notebook. Input The first line contains three integers n, m, and k (1 ≀ n, m, k ≀ 100) β€” the number of participants, the number of pens, and the number of notebooks respectively. Output Print "Yes" if it possible to reward all the participants. Otherwise, print "No". You can print each letter in any case (upper or lower). Examples Input 5 8 6 Output Yes Input 3 9 3 Output Yes Input 8 5 20 Output No Note In the first example, there are 5 participants. The Cossack has 8 pens and 6 notebooks. Therefore, he has enough pens and notebooks. In the second example, there are 3 participants. The Cossack has 9 pens and 3 notebooks. He has more than enough pens but only the minimum needed number of notebooks. In the third example, there are 8 participants but only 5 pens. Since the Cossack does not have enough pens, the answer is "No".
instruction
0
106,189
17
212,378
Tags: implementation Correct Solution: ``` n, m, k = map(int, input().split()) if n <= k and n <= m: print("YES") else: print("NO") ```
output
1
106,189
17
212,379
Provide tags and a correct Python 3 solution for this coding contest problem. Vus the [Cossack](https://en.wikipedia.org/wiki/Cossacks) holds a programming competition, in which n people participate. He decided to award them all with pens and notebooks. It is known that Vus has exactly m pens and k notebooks. Determine whether the Cossack can reward all participants, giving each of them at least one pen and at least one notebook. Input The first line contains three integers n, m, and k (1 ≀ n, m, k ≀ 100) β€” the number of participants, the number of pens, and the number of notebooks respectively. Output Print "Yes" if it possible to reward all the participants. Otherwise, print "No". You can print each letter in any case (upper or lower). Examples Input 5 8 6 Output Yes Input 3 9 3 Output Yes Input 8 5 20 Output No Note In the first example, there are 5 participants. The Cossack has 8 pens and 6 notebooks. Therefore, he has enough pens and notebooks. In the second example, there are 3 participants. The Cossack has 9 pens and 3 notebooks. He has more than enough pens but only the minimum needed number of notebooks. In the third example, there are 8 participants but only 5 pens. Since the Cossack does not have enough pens, the answer is "No".
instruction
0
106,190
17
212,380
Tags: implementation Correct Solution: ``` a = input() a = a.split() if (int(a[1])>=int(a[0]) and int(a[2])>=int(a[0])): print("Yes") else: print("No") ```
output
1
106,190
17
212,381
Provide tags and a correct Python 3 solution for this coding contest problem. Vus the [Cossack](https://en.wikipedia.org/wiki/Cossacks) holds a programming competition, in which n people participate. He decided to award them all with pens and notebooks. It is known that Vus has exactly m pens and k notebooks. Determine whether the Cossack can reward all participants, giving each of them at least one pen and at least one notebook. Input The first line contains three integers n, m, and k (1 ≀ n, m, k ≀ 100) β€” the number of participants, the number of pens, and the number of notebooks respectively. Output Print "Yes" if it possible to reward all the participants. Otherwise, print "No". You can print each letter in any case (upper or lower). Examples Input 5 8 6 Output Yes Input 3 9 3 Output Yes Input 8 5 20 Output No Note In the first example, there are 5 participants. The Cossack has 8 pens and 6 notebooks. Therefore, he has enough pens and notebooks. In the second example, there are 3 participants. The Cossack has 9 pens and 3 notebooks. He has more than enough pens but only the minimum needed number of notebooks. In the third example, there are 8 participants but only 5 pens. Since the Cossack does not have enough pens, the answer is "No".
instruction
0
106,191
17
212,382
Tags: implementation Correct Solution: ``` def solution(): inputs = str(input()) inputs = inputs.split() n = int(inputs[0]) m = int(inputs[1]) k = int(inputs[2]) n_pair = min(m, k) if (n <= n_pair): print("Yes") else: print("No") solution() ```
output
1
106,191
17
212,383
Provide tags and a correct Python 3 solution for this coding contest problem. Vus the [Cossack](https://en.wikipedia.org/wiki/Cossacks) holds a programming competition, in which n people participate. He decided to award them all with pens and notebooks. It is known that Vus has exactly m pens and k notebooks. Determine whether the Cossack can reward all participants, giving each of them at least one pen and at least one notebook. Input The first line contains three integers n, m, and k (1 ≀ n, m, k ≀ 100) β€” the number of participants, the number of pens, and the number of notebooks respectively. Output Print "Yes" if it possible to reward all the participants. Otherwise, print "No". You can print each letter in any case (upper or lower). Examples Input 5 8 6 Output Yes Input 3 9 3 Output Yes Input 8 5 20 Output No Note In the first example, there are 5 participants. The Cossack has 8 pens and 6 notebooks. Therefore, he has enough pens and notebooks. In the second example, there are 3 participants. The Cossack has 9 pens and 3 notebooks. He has more than enough pens but only the minimum needed number of notebooks. In the third example, there are 8 participants but only 5 pens. Since the Cossack does not have enough pens, the answer is "No".
instruction
0
106,192
17
212,384
Tags: implementation Correct Solution: ``` n,m,k=list(map(int,input().strip().split())) if m>=n and k>=n: print('Yes') else: print('No') ```
output
1
106,192
17
212,385
Provide tags and a correct Python 3 solution for this coding contest problem. Vus the [Cossack](https://en.wikipedia.org/wiki/Cossacks) holds a programming competition, in which n people participate. He decided to award them all with pens and notebooks. It is known that Vus has exactly m pens and k notebooks. Determine whether the Cossack can reward all participants, giving each of them at least one pen and at least one notebook. Input The first line contains three integers n, m, and k (1 ≀ n, m, k ≀ 100) β€” the number of participants, the number of pens, and the number of notebooks respectively. Output Print "Yes" if it possible to reward all the participants. Otherwise, print "No". You can print each letter in any case (upper or lower). Examples Input 5 8 6 Output Yes Input 3 9 3 Output Yes Input 8 5 20 Output No Note In the first example, there are 5 participants. The Cossack has 8 pens and 6 notebooks. Therefore, he has enough pens and notebooks. In the second example, there are 3 participants. The Cossack has 9 pens and 3 notebooks. He has more than enough pens but only the minimum needed number of notebooks. In the third example, there are 8 participants but only 5 pens. Since the Cossack does not have enough pens, the answer is "No".
instruction
0
106,193
17
212,386
Tags: implementation Correct Solution: ``` n,m,k=map(int,input().split()) f=min(m,k) if(n>f): print("No") else: print("Yes") ```
output
1
106,193
17
212,387
Provide tags and a correct Python 3 solution for this coding contest problem. Vus the [Cossack](https://en.wikipedia.org/wiki/Cossacks) holds a programming competition, in which n people participate. He decided to award them all with pens and notebooks. It is known that Vus has exactly m pens and k notebooks. Determine whether the Cossack can reward all participants, giving each of them at least one pen and at least one notebook. Input The first line contains three integers n, m, and k (1 ≀ n, m, k ≀ 100) β€” the number of participants, the number of pens, and the number of notebooks respectively. Output Print "Yes" if it possible to reward all the participants. Otherwise, print "No". You can print each letter in any case (upper or lower). Examples Input 5 8 6 Output Yes Input 3 9 3 Output Yes Input 8 5 20 Output No Note In the first example, there are 5 participants. The Cossack has 8 pens and 6 notebooks. Therefore, he has enough pens and notebooks. In the second example, there are 3 participants. The Cossack has 9 pens and 3 notebooks. He has more than enough pens but only the minimum needed number of notebooks. In the third example, there are 8 participants but only 5 pens. Since the Cossack does not have enough pens, the answer is "No".
instruction
0
106,194
17
212,388
Tags: implementation Correct Solution: ``` n,pens,books=map(int,input().split()) x=min(n,pens,books) if x==n: print('Yes') else: print('No') ```
output
1
106,194
17
212,389
Provide tags and a correct Python 3 solution for this coding contest problem. Vus the [Cossack](https://en.wikipedia.org/wiki/Cossacks) holds a programming competition, in which n people participate. He decided to award them all with pens and notebooks. It is known that Vus has exactly m pens and k notebooks. Determine whether the Cossack can reward all participants, giving each of them at least one pen and at least one notebook. Input The first line contains three integers n, m, and k (1 ≀ n, m, k ≀ 100) β€” the number of participants, the number of pens, and the number of notebooks respectively. Output Print "Yes" if it possible to reward all the participants. Otherwise, print "No". You can print each letter in any case (upper or lower). Examples Input 5 8 6 Output Yes Input 3 9 3 Output Yes Input 8 5 20 Output No Note In the first example, there are 5 participants. The Cossack has 8 pens and 6 notebooks. Therefore, he has enough pens and notebooks. In the second example, there are 3 participants. The Cossack has 9 pens and 3 notebooks. He has more than enough pens but only the minimum needed number of notebooks. In the third example, there are 8 participants but only 5 pens. Since the Cossack does not have enough pens, the answer is "No".
instruction
0
106,195
17
212,390
Tags: implementation Correct Solution: ``` n,m,k=map(int,input().split()) s=min(m,k) if(s>=n): print("Yes") else: print("No") ```
output
1
106,195
17
212,391
Provide tags and a correct Python 3 solution for this coding contest problem. Vus the [Cossack](https://en.wikipedia.org/wiki/Cossacks) holds a programming competition, in which n people participate. He decided to award them all with pens and notebooks. It is known that Vus has exactly m pens and k notebooks. Determine whether the Cossack can reward all participants, giving each of them at least one pen and at least one notebook. Input The first line contains three integers n, m, and k (1 ≀ n, m, k ≀ 100) β€” the number of participants, the number of pens, and the number of notebooks respectively. Output Print "Yes" if it possible to reward all the participants. Otherwise, print "No". You can print each letter in any case (upper or lower). Examples Input 5 8 6 Output Yes Input 3 9 3 Output Yes Input 8 5 20 Output No Note In the first example, there are 5 participants. The Cossack has 8 pens and 6 notebooks. Therefore, he has enough pens and notebooks. In the second example, there are 3 participants. The Cossack has 9 pens and 3 notebooks. He has more than enough pens but only the minimum needed number of notebooks. In the third example, there are 8 participants but only 5 pens. Since the Cossack does not have enough pens, the answer is "No".
instruction
0
106,196
17
212,392
Tags: implementation Correct Solution: ``` # @author import sys class AVusTheCossackAndAContest: def solve(self): n, m, k = [int(_) for _ in input().split()] print("Yes" if min(m, k) >= n else "No") solver = AVusTheCossackAndAContest() input = sys.stdin.readline solver.solve() ```
output
1
106,196
17
212,393
Provide a correct Python 3 solution for this coding contest problem. At Akabe High School, a programmer training school, there is a unique study session run by the students themselves. It is important for programmers to constantly adopt new technologies, so the aim of this activity is to develop the habit of self-study through this study session. There are a total of N students, each with a score obtained as a result of the programming contest at the time of admission. At the study session, some of the N students will become leaders, and each leader will run their own group and join the group they run. Students other than the leader cannot join a group run by a leader with a score lower than their own. In addition, one value r that is 0 or more is decided so that the difference between the scores of the students participating in the group and the leader is within r. That is, if the leader of a group has a score of s and your score is greater than or less than s --r, you will not be able to join the group. You are the executive committee chair of the study session and decided to do a simulation to prepare for the operation. In the simulation, start with no leader and repeat the following operations several times. * Add students as leaders. * Remove the student from the leader. * For the combination of leaders at the time of request, find the minimum r such that the number of students who cannot participate in any group is x or less. Create a program that performs such a simulation. input The input consists of one dataset. The input is given in the following format. N Q s1 s2 :: sN QUERY1 QUERY2 :: QUERYQ The first line gives the number of students N (1 ≀ N ≀ 1000000) and the number of processing requests Q (0 ≀ Q ≀ 1000). The following N lines are given the integer si (0 ≀ si ≀ 1,000,000,000) indicating the score of the i-th student. Students shall be numbered 1,2, ..., N. The processing request QUERYi is given to the following Q line. Processing requests are given in chronological order. There are three types of processing requests: ADD, REMOVE, and CHECK, and each QUERYi is given in one of the following formats. ADD a Or REMOVE a Or CHECK x ADD a stands for adding a student with the number a (1 ≀ a ≀ N) to the leader. REMOVE a represents removing the student with the number a (1 ≀ a ≀ N) from the leader. CHECK x represents an output request. An upper limit on the number of students who cannot join any group x (0 ≀ x ≀ N) is given. The input shall satisfy the following conditions. * At any given time, the number of leaders will not exceed 100. * Do not add students who are leaders at that time to leaders. * Students who are not leaders at that time will not be removed from the leader. output At the time of each output request in chronological order, the minimum r is output on one line so that the number of students who cannot join any group is x or less. However, if it is impossible to reduce the number of people to x or less no matter what r is selected, NA is output. Example Input 5 8 5 10 8 7 3 ADD 1 ADD 3 CHECK 0 CHECK 1 CHECK 2 CHECK 3 CHECK 4 CHECK 5 Output NA 2 1 0 0 0
instruction
0
106,949
17
213,898
"Correct Solution: ``` from bisect import bisect import operator import sys from collections import defaultdict readline = sys.stdin.readline write = sys.stdout.write N, Q = map(int, readline().split()) R = [int(readline()) for i in range(N)] S = list(set(R)) S.sort() mp = {e: i for i, e in enumerate(S)} D = defaultdict(int) T = R[:] T.sort() mpm = {} for i, e in enumerate(T): mpm[e] = i INF = 10**9+1 ps = [] for i in range(Q): t, x = readline().split(); x = int(x) if t == 'ADD': y = R[x-1] if D[y] == 0: z = mp[y] idx = bisect(ps, z-1) ps = ps[:idx] + [z] + ps[idx:] D[y] += 1 elif t == 'REMOVE': y = R[x-1] D[y] -= 1 if D[y] == 0: z = mp[y] idx = bisect(ps, z-1) ps.pop(idx) else: left = -1; right = INF while left+1 < right: mid = (left + right) >> 1 prv = -1 cnt = 0 for e in ps: s = S[e]; v = mpm[s] idx = max(bisect(T, s-mid-1)-1, prv) cnt += v - idx prv = v if N - cnt <= x: right = mid else: left = mid if right == INF: write("NA\n") else: write("%d\n" % right) ```
output
1
106,949
17
213,899
Provide a correct Python 3 solution for this coding contest problem. At Akabe High School, a programmer training school, there is a unique study session run by the students themselves. It is important for programmers to constantly adopt new technologies, so the aim of this activity is to develop the habit of self-study through this study session. There are a total of N students, each with a score obtained as a result of the programming contest at the time of admission. At the study session, some of the N students will become leaders, and each leader will run their own group and join the group they run. Students other than the leader cannot join a group run by a leader with a score lower than their own. In addition, one value r that is 0 or more is decided so that the difference between the scores of the students participating in the group and the leader is within r. That is, if the leader of a group has a score of s and your score is greater than or less than s --r, you will not be able to join the group. You are the executive committee chair of the study session and decided to do a simulation to prepare for the operation. In the simulation, start with no leader and repeat the following operations several times. * Add students as leaders. * Remove the student from the leader. * For the combination of leaders at the time of request, find the minimum r such that the number of students who cannot participate in any group is x or less. Create a program that performs such a simulation. input The input consists of one dataset. The input is given in the following format. N Q s1 s2 :: sN QUERY1 QUERY2 :: QUERYQ The first line gives the number of students N (1 ≀ N ≀ 1000000) and the number of processing requests Q (0 ≀ Q ≀ 1000). The following N lines are given the integer si (0 ≀ si ≀ 1,000,000,000) indicating the score of the i-th student. Students shall be numbered 1,2, ..., N. The processing request QUERYi is given to the following Q line. Processing requests are given in chronological order. There are three types of processing requests: ADD, REMOVE, and CHECK, and each QUERYi is given in one of the following formats. ADD a Or REMOVE a Or CHECK x ADD a stands for adding a student with the number a (1 ≀ a ≀ N) to the leader. REMOVE a represents removing the student with the number a (1 ≀ a ≀ N) from the leader. CHECK x represents an output request. An upper limit on the number of students who cannot join any group x (0 ≀ x ≀ N) is given. The input shall satisfy the following conditions. * At any given time, the number of leaders will not exceed 100. * Do not add students who are leaders at that time to leaders. * Students who are not leaders at that time will not be removed from the leader. output At the time of each output request in chronological order, the minimum r is output on one line so that the number of students who cannot join any group is x or less. However, if it is impossible to reduce the number of people to x or less no matter what r is selected, NA is output. Example Input 5 8 5 10 8 7 3 ADD 1 ADD 3 CHECK 0 CHECK 1 CHECK 2 CHECK 3 CHECK 4 CHECK 5 Output NA 2 1 0 0 0
instruction
0
106,950
17
213,900
"Correct Solution: ``` import bisect INF = int(10**9+1) n, q = map(int, input().split()) tmp = [ (int(input()),i) for i in range(n) ] tmp.sort() s = [0]*n f = [0]*n i = 0 for key,val in tmp : s[i] = key f[val] = i i += 1 leader = [] while q > 0 : line = input().split() arg = int(line[1]) #print(line) if line[0] == 'ADD': idx = bisect.bisect_left( leader, f[arg-1] ) leader = leader[:idx] + [f[arg-1]] + leader[idx:] elif line[0] == 'REMOVE': leader.remove( f[arg-1] ) else: #CHECK fail_r = -1 succ_r = INF while succ_r - fail_r > 1 : mid = int((succ_r + fail_r)/2) count = 0 prev = -1 for idx in leader : l_idx = bisect.bisect_left( s, s[idx]-mid ) r_idx = bisect.bisect_right( s, s[idx] ) - 1 if l_idx <= prev : l_idx = prev + 1 count += r_idx - l_idx + 1 prev = r_idx if n - count <= arg : succ_r = mid else : fail_r = mid if succ_r == INF : print('NA') else : print(succ_r) # for idx in leader : print(idx) q -= 1 ```
output
1
106,950
17
213,901
Provide a correct Python 3 solution for this coding contest problem. At Akabe High School, a programmer training school, there is a unique study session run by the students themselves. It is important for programmers to constantly adopt new technologies, so the aim of this activity is to develop the habit of self-study through this study session. There are a total of N students, each with a score obtained as a result of the programming contest at the time of admission. At the study session, some of the N students will become leaders, and each leader will run their own group and join the group they run. Students other than the leader cannot join a group run by a leader with a score lower than their own. In addition, one value r that is 0 or more is decided so that the difference between the scores of the students participating in the group and the leader is within r. That is, if the leader of a group has a score of s and your score is greater than or less than s --r, you will not be able to join the group. You are the executive committee chair of the study session and decided to do a simulation to prepare for the operation. In the simulation, start with no leader and repeat the following operations several times. * Add students as leaders. * Remove the student from the leader. * For the combination of leaders at the time of request, find the minimum r such that the number of students who cannot participate in any group is x or less. Create a program that performs such a simulation. input The input consists of one dataset. The input is given in the following format. N Q s1 s2 :: sN QUERY1 QUERY2 :: QUERYQ The first line gives the number of students N (1 ≀ N ≀ 1000000) and the number of processing requests Q (0 ≀ Q ≀ 1000). The following N lines are given the integer si (0 ≀ si ≀ 1,000,000,000) indicating the score of the i-th student. Students shall be numbered 1,2, ..., N. The processing request QUERYi is given to the following Q line. Processing requests are given in chronological order. There are three types of processing requests: ADD, REMOVE, and CHECK, and each QUERYi is given in one of the following formats. ADD a Or REMOVE a Or CHECK x ADD a stands for adding a student with the number a (1 ≀ a ≀ N) to the leader. REMOVE a represents removing the student with the number a (1 ≀ a ≀ N) from the leader. CHECK x represents an output request. An upper limit on the number of students who cannot join any group x (0 ≀ x ≀ N) is given. The input shall satisfy the following conditions. * At any given time, the number of leaders will not exceed 100. * Do not add students who are leaders at that time to leaders. * Students who are not leaders at that time will not be removed from the leader. output At the time of each output request in chronological order, the minimum r is output on one line so that the number of students who cannot join any group is x or less. However, if it is impossible to reduce the number of people to x or less no matter what r is selected, NA is output. Example Input 5 8 5 10 8 7 3 ADD 1 ADD 3 CHECK 0 CHECK 1 CHECK 2 CHECK 3 CHECK 4 CHECK 5 Output NA 2 1 0 0 0
instruction
0
106,951
17
213,902
"Correct Solution: ``` def get_count(s, leader, r): count = 0 pre_upper_pos = 0 for li in leader: lower_pos = bisect.bisect_left(s, li - r) upper_pos = bisect.bisect_right(s, li) if pre_upper_pos < lower_pos: count += lower_pos - pre_upper_pos pre_upper_pos = upper_pos count += len(s) - pre_upper_pos return count import bisect def check(s,leader,target_x): if 0 == len(leader): if target_x < len(s): return 'NA' else: return 0 min_x = len(s) - bisect.bisect_right(s, leader[-1]) if target_x < min_x: return 'NA' l, r = 0, s[-1] diff = r - 1 while True: m = (l + r) // 2 x = get_count(s, leader, m) if target_x < x: l = m elif x <= target_x: r = m if diff == l - r: return r diff = l - r import sys f = sys.stdin n, q = (int(i) for i in f.readline().split()) s = [int(f.readline()) for i in range(n)] query = [line.split() for line in f] sort_s = sorted(s) leader = [] for op, a in query: a = int(a) if op[0] == 'A': leader.append(s[a - 1]) #bisect??Β§??????????ΒΆ?????????????????????\????????? leader.sort() elif op[0] == 'R': leader.remove(s[a - 1]) else: r = check(sort_s,leader,a) print(r) ```
output
1
106,951
17
213,903
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. At Akabe High School, a programmer training school, there is a unique study session run by the students themselves. It is important for programmers to constantly adopt new technologies, so the aim of this activity is to develop the habit of self-study through this study session. There are a total of N students, each with a score obtained as a result of the programming contest at the time of admission. At the study session, some of the N students will become leaders, and each leader will run their own group and join the group they run. Students other than the leader cannot join a group run by a leader with a score lower than their own. In addition, one value r that is 0 or more is decided so that the difference between the scores of the students participating in the group and the leader is within r. That is, if the leader of a group has a score of s and your score is greater than or less than s --r, you will not be able to join the group. You are the executive committee chair of the study session and decided to do a simulation to prepare for the operation. In the simulation, start with no leader and repeat the following operations several times. * Add students as leaders. * Remove the student from the leader. * For the combination of leaders at the time of request, find the minimum r such that the number of students who cannot participate in any group is x or less. Create a program that performs such a simulation. input The input consists of one dataset. The input is given in the following format. N Q s1 s2 :: sN QUERY1 QUERY2 :: QUERYQ The first line gives the number of students N (1 ≀ N ≀ 1000000) and the number of processing requests Q (0 ≀ Q ≀ 1000). The following N lines are given the integer si (0 ≀ si ≀ 1,000,000,000) indicating the score of the i-th student. Students shall be numbered 1,2, ..., N. The processing request QUERYi is given to the following Q line. Processing requests are given in chronological order. There are three types of processing requests: ADD, REMOVE, and CHECK, and each QUERYi is given in one of the following formats. ADD a Or REMOVE a Or CHECK x ADD a stands for adding a student with the number a (1 ≀ a ≀ N) to the leader. REMOVE a represents removing the student with the number a (1 ≀ a ≀ N) from the leader. CHECK x represents an output request. An upper limit on the number of students who cannot join any group x (0 ≀ x ≀ N) is given. The input shall satisfy the following conditions. * At any given time, the number of leaders will not exceed 100. * Do not add students who are leaders at that time to leaders. * Students who are not leaders at that time will not be removed from the leader. output At the time of each output request in chronological order, the minimum r is output on one line so that the number of students who cannot join any group is x or less. However, if it is impossible to reduce the number of people to x or less no matter what r is selected, NA is output. Example Input 5 8 5 10 8 7 3 ADD 1 ADD 3 CHECK 0 CHECK 1 CHECK 2 CHECK 3 CHECK 4 CHECK 5 Output NA 2 1 0 0 0 Submitted Solution: ``` def get_count(s, leader, r): count = 0 pre_upper_pos = 0 for li in leader: lower_pos = bisect.bisect_left(s, li - r) upper_pos = bisect.bisect_right(s, li) if pre_upper_pos < lower_pos: count += lower_pos - pre_upper_pos pre_upper_pos = upper_pos count += len(s) - pre_upper_pos return count import bisect def check(s,leader,target_x): if 0 == len(leader): return 'NA' min_x = len(s) - bisect.bisect_right(s, leader[-1]) if target_x < min_x: return 'NA' l, r = 0, s[-1] diff = r - 1 while True: m = (l + r) // 2 x = get_count(s, leader, m) if target_x < x: l = m elif x <= target_x: r = m if diff == l - r: return r diff = l - r import sys f = sys.stdin n, q = (int(i) for i in f.readline().split()) s = [int(f.readline()) for i in range(n)] query = [line.split() for line in f] sort_s = sorted(s) leader = [] for op, a in query: a = int(a) if op[0] == 'A': leader.append(s[a - 1]) #bisect??Β§??????????ΒΆ?????????????????????\????????? leader.sort() elif op[0] == 'R': leader.remove(s[a - 1]) else: r = check(sort_s,leader,a) print(r) ```
instruction
0
106,952
17
213,904
No
output
1
106,952
17
213,905
Provide tags and a correct Python 3 solution for this coding contest problem. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0.
instruction
0
107,185
17
214,370
Tags: greedy, sortings Correct Solution: ``` t=int(input()) for i in range(t): n=int(input()) s=list(map(int, input().split())) l=[] for j in range(len(s)-1): a=s[j] for k in range(j+1,len(s)): d=abs(s[k]-a) l.append(d) print(min(l)) ```
output
1
107,185
17
214,371
Provide tags and a correct Python 3 solution for this coding contest problem. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0.
instruction
0
107,186
17
214,372
Tags: greedy, sortings Correct Solution: ``` n=int(input());o=[] for i in range(n): m=int(input()) l=[int(x) for x in input().split()] l.sort() o+=[str(min(l[i+1]-l[i] for i in range(m-1)))] print('\n'.join(o)) ```
output
1
107,186
17
214,373
Provide tags and a correct Python 3 solution for this coding contest problem. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0.
instruction
0
107,187
17
214,374
Tags: greedy, sortings Correct Solution: ``` t=int(input()) while(t): t-=1 input() athelete_code=[int(i) for i in input().split(" ")] athelete_code=sorted(athelete_code) min_dif=athelete_code[1]-athelete_code[0] for i in range(1,(len(athelete_code)-1)): if (athelete_code[i+1]-athelete_code[i])<min_dif: #print(athelete_code[i+1]-athelete_code[i],athelete_code[i],athelete_code[i+1]) min_dif=athelete_code[i+1]-athelete_code[i] print(min_dif) ```
output
1
107,187
17
214,375
Provide tags and a correct Python 3 solution for this coding contest problem. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0.
instruction
0
107,188
17
214,376
Tags: greedy, sortings Correct Solution: ``` from sys import stdin,stdout import math from collections import Counter,deque L=lambda:list(map(int, stdin.readline().strip().split())) M=lambda:map(int, stdin.readline().strip().split()) I=lambda:int(stdin.readline().strip()) IN=lambda:stdin.readline().strip() C=lambda:stdin.readline().strip().split() mod=1000000007 #Keymax = max(Tv, key=Tv.get) def s(a):print(" ".join(list(map(str,a)))) #______________________-------------------------------_____________________# #I_am_pavan for i in range(I()): n=I() a=sorted(L()) m=a[1]-a[0] for i in range(n-1): m=min(m,a[i+1]-a[i]) print(m) ```
output
1
107,188
17
214,377
Provide tags and a correct Python 3 solution for this coding contest problem. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0.
instruction
0
107,189
17
214,378
Tags: greedy, sortings Correct Solution: ``` t = int(input()) for i in range(t): n = int(input()) si = list(map(int,input().split())) si.sort() res = si[-1] for i in range(1,n): res = min(res, si[i] - si[i-1]) print(res) ```
output
1
107,189
17
214,379
Provide tags and a correct Python 3 solution for this coding contest problem. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0.
instruction
0
107,190
17
214,380
Tags: greedy, sortings Correct Solution: ``` def solve(): n = int(input()) arr = [int(i) for i in input().split()] arr.sort() diff = 1000 for i in range(n - 1): diff = min(diff, arr[i + 1] - arr[i]) return diff if __name__ == '__main__': for _ in range(int(input())): print(solve()) ```
output
1
107,190
17
214,381
Provide tags and a correct Python 3 solution for this coding contest problem. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0.
instruction
0
107,191
17
214,382
Tags: greedy, sortings Correct Solution: ``` for s in [*open(0)][2::2]:a=sorted(map(int,s.split()));print(min([j-i for i, j in zip(a,a[1:])])) ```
output
1
107,191
17
214,383
Provide tags and a correct Python 3 solution for this coding contest problem. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0.
instruction
0
107,192
17
214,384
Tags: greedy, sortings Correct Solution: ``` test=int(input()) for i in range(test): n=int(input()) a=[int(x) for x in input().split()] temp=1001 for i in range(n): for j in range(i+1,n): temp=min(temp,abs(a[i]-a[j])) print(temp) ```
output
1
107,192
17
214,385
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0. Submitted Solution: ``` # python3 q2.py < test.txt t = int(input()) for i in range(t): n = int(input()) a = [int(j) for j in input().split()] a.sort() diff = float('inf') for j in range(1, len(a)): diff = min(diff, a[j]- a[j-1]) print(diff) ```
instruction
0
107,193
17
214,386
Yes
output
1
107,193
17
214,387
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0. Submitted Solution: ``` t=int(input()) for i in range(t): n=int(input()) l=list(map(int,input().split())) l.sort() min1=l[1]-l[0] for i in range(2,len(l)): min1=min(min1,l[i]-l[i-1]) print(min1) ```
instruction
0
107,194
17
214,388
Yes
output
1
107,194
17
214,389
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0. Submitted Solution: ``` # hey stalker n=int(input()) for i in range(n): m=int(input()) a=[int(i) for i in input().split()] b=sorted(a) max=10**9 for j in range(0,len(b)-1): d=b[j+1]-b[j] if(d<max): max=d print(max) ```
instruction
0
107,195
17
214,390
Yes
output
1
107,195
17
214,391
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0. Submitted Solution: ``` # from math import factorial as fac from collections import defaultdict # from copy import deepcopy import sys, math f = None try: f = open('q1.input', 'r') except IOError: f = sys.stdin if 'xrange' in dir(__builtins__): range = xrange # print(f.readline()) # sys.setrecursionlimit(10**5) def print_case_iterable(case_num, iterable): print("Case #{}: {}".format(case_num," ".join(map(str,iterable)))) def print_case_number(case_num, iterable): print("Case #{}: {}".format(case_num,iterable)) def print_iterable(A): print (' '.join(A)) def read_int(): return int(f.readline().strip()) def read_int_array(): return [int(x) for x in f.readline().strip().split(" ")] def rns(): a = [x for x in f.readline().split(" ")] return int(a[0]), a[1].strip() def read_string(): return list(f.readline().strip()) def bi(x): return bin(x)[2:] from copy import deepcopy def solution(a,n): a.sort() min_diff = 10**10 for i in range(1,n): min_diff = min(min_diff,a[i]-a[i-1]) return min_diff def main(): T = read_int() for i in range(T): # s = read_string() # p = read_int_array() n = read_int() a = read_int_array() x = solution(a,n) if 'xrange' not in dir(__builtins__): print(x) else: print >>output,str(x)# "Case #"+str(i+1)+':', if 'xrange' in dir(__builtins__): print(output.getvalue()) output.close() if 'xrange' in dir(__builtins__): import cStringIO output = cStringIO.StringIO() #example usage: # for l in res: # print >>output, str(len(l)) + ' ' + ' '.join(l) if __name__ == '__main__': main() '''stuff you should look for * int overflow, array bounds * special cases (n=1?) * do smth instead of nothing and stay organized * WRITE STUFF DOWN * BITS - THINK HOW TO MASK PROPERLY * PERMUTATIONS - PARITY AND CYCLES * Think simple, if it becomes over complicated, try to look at it from a different perspective. * Have fun!!! * TRY FIXING SOMETHING, and then maybe binary search around it. * Remember heaps. * Remember how to add a value to a segment when using prefix sum. suppose you have an array[1,2,3,4,5] and you want to add 3 to array[1:4]. Then just add 3 to A[1], and decrease 3 from A[4]. Let's look at what happens: original prefixsums is [1,3,6,10,15] array -> [1,5,3,4,2] and prefix sums are [1,6,9,13,15] As you see, exactly +3 in A[1:4] *** The previous method can help checking how many x,y you can choose to get s=x+y from two arrays. ''' ''' binary search while(r - l > 1) { ll mid = l + (r - l) / 2; solve(mid); ll sum = 0; for (int i = 0; i < n; i++) sum += b[i]; if (sum <= k) r = mid; else l = mid; } ''' ```
instruction
0
107,196
17
214,392
Yes
output
1
107,196
17
214,393
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0. Submitted Solution: ``` t=int(input()) for e in range(t): n=int(input()) l=list(map(int,input().split())) l.sort() m=l[1]-l[0] for i in range(1,n): m=min(m,l[i]-l[i-1]) print(m) ```
instruction
0
107,197
17
214,394
No
output
1
107,197
17
214,395
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0. Submitted Solution: ``` t=int(input()) for i in range(t): m=int(input()) a=list(map(int,input().split())) a.sort() b=sorted(set(a)) n=len(b) if(n%2!=0): c=(n+1)//2-1 else: c=n//2-1 p=a.index(b[c]) c=abs(a[0]-min(a[1:])) d=a[p+1]-a[p] print(min(d,c)) ```
instruction
0
107,198
17
214,396
No
output
1
107,198
17
214,397
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0. Submitted Solution: ``` for t in range(int(input())): n = int(input()) l = list(map(int, input().split())) l.sort() s = len(l) b = [] a = [] x = (s//2)-1 if(x == 0): x = 1 for i in range(x): a.append(l[i]) for i in range(x, s): b.append(l[i]) print(abs(max(a) - min(b))) ```
instruction
0
107,199
17
214,398
No
output
1
107,199
17
214,399
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one athlete, and each athlete must be exactly in one team. You want the strongest athlete from the first team to differ as little as possible from the weakest athlete from the second team. Formally, you want to split the athletes into two teams A and B so that the value |max(A) - min(B)| is as small as possible, where max(A) is the maximum strength of an athlete from team A, and min(B) is the minimum strength of an athlete from team B. For example, if n=5 and the strength of the athletes is s=[3, 1, 2, 6, 4], then one of the possible split into teams is: * first team: A = [1, 2, 4], * second team: B = [3, 6]. In this case, the value |max(A) - min(B)| will be equal to |4-3|=1. This example illustrates one of the ways of optimal split into two teams. Print the minimum value |max(A) - min(B)|. Input The first line contains an integer t (1 ≀ t ≀ 1000) β€” the number of test cases in the input. Then t test cases follow. Each test case consists of two lines. The first line contains positive integer n (2 ≀ n ≀ 50) β€” number of athletes. The second line contains n positive integers s_1, s_2, …, s_n (1 ≀ s_i ≀ 1000), where s_i β€” is the strength of the i-th athlete. Please note that s values may not be distinct. Output For each test case print one integer β€” the minimum value of |max(A) - min(B)| with the optimal split of all athletes into two teams. Each of the athletes must be a member of exactly one of the two teams. Example Input 5 5 3 1 2 6 4 6 2 1 3 2 4 3 4 7 9 3 1 2 1 1000 3 100 150 200 Output 1 0 2 999 50 Note The first test case was explained in the statement. In the second test case, one of the optimal splits is A=[2, 1], B=[3, 2, 4, 3], so the answer is |2-2|=0. Submitted Solution: ``` for _ in range(int(input())): n=int(input()) L=list(map(int,input().split())) L.sort() p=L[1]-L[0] for i in range(n-1): if L[i+1]-L[i]<p: p=L[i+1]-L[i] if p==0: print(p) break if p!=0: print(p) ```
instruction
0
107,200
17
214,400
No
output
1
107,200
17
214,401
Provide tags and a correct Python 3 solution for this coding contest problem. There are n programmers that you want to split into several non-empty teams. The skill of the i-th programmer is a_i. You want to assemble the maximum number of teams from them. There is a restriction for each team: the number of programmers in the team multiplied by the minimum skill among all programmers in the team must be at least x. Each programmer should belong to at most one team. Some programmers may be left without a team. Calculate the maximum number of teams that you can assemble. Input The first line contains the integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n and x (1 ≀ n ≀ 10^5; 1 ≀ x ≀ 10^9) β€” the number of programmers and the restriction of team skill respectively. The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≀ a_i ≀ 10^9), where a_i is the skill of the i-th programmer. The sum of n over all inputs does not exceed 10^5. Output For each test case print one integer β€” the maximum number of teams that you can assemble. Example Input 3 5 10 7 11 2 9 5 4 8 2 4 2 3 4 11 1 3 3 7 Output 2 1 0
instruction
0
107,201
17
214,402
Tags: brute force, dp, greedy, implementation, sortings Correct Solution: ``` n = int(input()) for _ in range(n): a, b = list(map(int, input().split())) arr = list(map(int, input().split())) arr.sort(reverse=True) index = 1 ans = 0 for i in range(a): if(arr[i]*index < b): index += 1 else: ans += 1 index = 1 print(ans) ```
output
1
107,201
17
214,403
Provide tags and a correct Python 3 solution for this coding contest problem. There are n programmers that you want to split into several non-empty teams. The skill of the i-th programmer is a_i. You want to assemble the maximum number of teams from them. There is a restriction for each team: the number of programmers in the team multiplied by the minimum skill among all programmers in the team must be at least x. Each programmer should belong to at most one team. Some programmers may be left without a team. Calculate the maximum number of teams that you can assemble. Input The first line contains the integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n and x (1 ≀ n ≀ 10^5; 1 ≀ x ≀ 10^9) β€” the number of programmers and the restriction of team skill respectively. The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≀ a_i ≀ 10^9), where a_i is the skill of the i-th programmer. The sum of n over all inputs does not exceed 10^5. Output For each test case print one integer β€” the maximum number of teams that you can assemble. Example Input 3 5 10 7 11 2 9 5 4 8 2 4 2 3 4 11 1 3 3 7 Output 2 1 0
instruction
0
107,202
17
214,404
Tags: brute force, dp, greedy, implementation, sortings Correct Solution: ``` from sys import stdin def mp():return map(int,stdin.readline().split()) def ml():return list(map(int,stdin.readline().split())) for _ in range(int(input())): n,x=mp() a=ml();a.sort(reverse=True) ans=0;c=0 for num in a: c+=1 if c*num >= x: ans+=1;c=0 print(ans) ```
output
1
107,202
17
214,405
Provide tags and a correct Python 3 solution for this coding contest problem. There are n programmers that you want to split into several non-empty teams. The skill of the i-th programmer is a_i. You want to assemble the maximum number of teams from them. There is a restriction for each team: the number of programmers in the team multiplied by the minimum skill among all programmers in the team must be at least x. Each programmer should belong to at most one team. Some programmers may be left without a team. Calculate the maximum number of teams that you can assemble. Input The first line contains the integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n and x (1 ≀ n ≀ 10^5; 1 ≀ x ≀ 10^9) β€” the number of programmers and the restriction of team skill respectively. The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≀ a_i ≀ 10^9), where a_i is the skill of the i-th programmer. The sum of n over all inputs does not exceed 10^5. Output For each test case print one integer β€” the maximum number of teams that you can assemble. Example Input 3 5 10 7 11 2 9 5 4 8 2 4 2 3 4 11 1 3 3 7 Output 2 1 0
instruction
0
107,203
17
214,406
Tags: brute force, dp, greedy, implementation, sortings Correct Solution: ``` from sys import stdin input = stdin.readline def solve(): _, x = map(int, input().split()) a = list(map(int, input().split())) a.sort(reverse=True) ans = 0 cnt = 0 for i in a: k = (x + i - 1) // i if cnt + 1 >= k: cnt -= k - 1 ans += 1 else: cnt += 1 print(ans) def main(): t = int(input()) for _ in range(t): solve() if __name__ == "__main__": main() ```
output
1
107,203
17
214,407
Provide tags and a correct Python 3 solution for this coding contest problem. There are n programmers that you want to split into several non-empty teams. The skill of the i-th programmer is a_i. You want to assemble the maximum number of teams from them. There is a restriction for each team: the number of programmers in the team multiplied by the minimum skill among all programmers in the team must be at least x. Each programmer should belong to at most one team. Some programmers may be left without a team. Calculate the maximum number of teams that you can assemble. Input The first line contains the integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n and x (1 ≀ n ≀ 10^5; 1 ≀ x ≀ 10^9) β€” the number of programmers and the restriction of team skill respectively. The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≀ a_i ≀ 10^9), where a_i is the skill of the i-th programmer. The sum of n over all inputs does not exceed 10^5. Output For each test case print one integer β€” the maximum number of teams that you can assemble. Example Input 3 5 10 7 11 2 9 5 4 8 2 4 2 3 4 11 1 3 3 7 Output 2 1 0
instruction
0
107,204
17
214,408
Tags: brute force, dp, greedy, implementation, sortings Correct Solution: ``` import sys input = sys.stdin.readline for _ in range(int(input())): n, x = map(int, input().split()) A = sorted(map(int, input().split()), reverse=True) c = 0 r = 0 for v in A: c += 1 if c * v >= x: r += 1 c = 0 print(r) ```
output
1
107,204
17
214,409
Provide tags and a correct Python 3 solution for this coding contest problem. There are n programmers that you want to split into several non-empty teams. The skill of the i-th programmer is a_i. You want to assemble the maximum number of teams from them. There is a restriction for each team: the number of programmers in the team multiplied by the minimum skill among all programmers in the team must be at least x. Each programmer should belong to at most one team. Some programmers may be left without a team. Calculate the maximum number of teams that you can assemble. Input The first line contains the integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n and x (1 ≀ n ≀ 10^5; 1 ≀ x ≀ 10^9) β€” the number of programmers and the restriction of team skill respectively. The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≀ a_i ≀ 10^9), where a_i is the skill of the i-th programmer. The sum of n over all inputs does not exceed 10^5. Output For each test case print one integer β€” the maximum number of teams that you can assemble. Example Input 3 5 10 7 11 2 9 5 4 8 2 4 2 3 4 11 1 3 3 7 Output 2 1 0
instruction
0
107,205
17
214,410
Tags: brute force, dp, greedy, implementation, sortings Correct Solution: ``` t = int(input()) for i in range(t): n,x = map(int,input().split()) l = list(map(int,input().split())) l.sort() j = n-1 pointer = n pointer2 = n-1 count = 0 while j >= 0: if l[j]*(pointer-j) >= x: pointer = j count = count + 1 j = j - 1 print(count) ```
output
1
107,205
17
214,411
Provide tags and a correct Python 3 solution for this coding contest problem. There are n programmers that you want to split into several non-empty teams. The skill of the i-th programmer is a_i. You want to assemble the maximum number of teams from them. There is a restriction for each team: the number of programmers in the team multiplied by the minimum skill among all programmers in the team must be at least x. Each programmer should belong to at most one team. Some programmers may be left without a team. Calculate the maximum number of teams that you can assemble. Input The first line contains the integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n and x (1 ≀ n ≀ 10^5; 1 ≀ x ≀ 10^9) β€” the number of programmers and the restriction of team skill respectively. The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≀ a_i ≀ 10^9), where a_i is the skill of the i-th programmer. The sum of n over all inputs does not exceed 10^5. Output For each test case print one integer β€” the maximum number of teams that you can assemble. Example Input 3 5 10 7 11 2 9 5 4 8 2 4 2 3 4 11 1 3 3 7 Output 2 1 0
instruction
0
107,206
17
214,412
Tags: brute force, dp, greedy, implementation, sortings Correct Solution: ``` t=int(input()) for _ in range(t): n,x=map(int,input().split(" ")) a=list(map(int,input().split(" "))) a.sort(reverse=True) s=0 t=[] count=0 for y in range(n): s=s+1 if a[y]*s>=x: count=count+1 s=0 print(count) ```
output
1
107,206
17
214,413
Provide tags and a correct Python 3 solution for this coding contest problem. There are n programmers that you want to split into several non-empty teams. The skill of the i-th programmer is a_i. You want to assemble the maximum number of teams from them. There is a restriction for each team: the number of programmers in the team multiplied by the minimum skill among all programmers in the team must be at least x. Each programmer should belong to at most one team. Some programmers may be left without a team. Calculate the maximum number of teams that you can assemble. Input The first line contains the integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n and x (1 ≀ n ≀ 10^5; 1 ≀ x ≀ 10^9) β€” the number of programmers and the restriction of team skill respectively. The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≀ a_i ≀ 10^9), where a_i is the skill of the i-th programmer. The sum of n over all inputs does not exceed 10^5. Output For each test case print one integer β€” the maximum number of teams that you can assemble. Example Input 3 5 10 7 11 2 9 5 4 8 2 4 2 3 4 11 1 3 3 7 Output 2 1 0
instruction
0
107,207
17
214,414
Tags: brute force, dp, greedy, implementation, sortings Correct Solution: ``` t=int(input()) for _ in range(t): n,x=list(map(int,input().split(" "))) arr=list(map(int,input().split(" "))) arr.sort(reverse=True) team=0 count=0 for i in arr: team+=1 if team*i>=x: count+=1 team=0 print(count) ```
output
1
107,207
17
214,415
Provide tags and a correct Python 3 solution for this coding contest problem. There are n programmers that you want to split into several non-empty teams. The skill of the i-th programmer is a_i. You want to assemble the maximum number of teams from them. There is a restriction for each team: the number of programmers in the team multiplied by the minimum skill among all programmers in the team must be at least x. Each programmer should belong to at most one team. Some programmers may be left without a team. Calculate the maximum number of teams that you can assemble. Input The first line contains the integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n and x (1 ≀ n ≀ 10^5; 1 ≀ x ≀ 10^9) β€” the number of programmers and the restriction of team skill respectively. The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≀ a_i ≀ 10^9), where a_i is the skill of the i-th programmer. The sum of n over all inputs does not exceed 10^5. Output For each test case print one integer β€” the maximum number of teams that you can assemble. Example Input 3 5 10 7 11 2 9 5 4 8 2 4 2 3 4 11 1 3 3 7 Output 2 1 0
instruction
0
107,208
17
214,416
Tags: brute force, dp, greedy, implementation, sortings Correct Solution: ``` import sys def answer(n, x, a): num = 0 lindx = -1 a.sort(reverse=True) #print('a=', a) for i in range(n): if (i-lindx)*a[i] >= x: num += 1 lindx = i return num def main(): t = int(sys.stdin.readline()) while t: n, x = map(int, sys.stdin.readline().split()) a = list(map(int, sys.stdin.readline().split())) print(answer(n, x, a)) t -= 1 return main() ```
output
1
107,208
17
214,417
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n programmers that you want to split into several non-empty teams. The skill of the i-th programmer is a_i. You want to assemble the maximum number of teams from them. There is a restriction for each team: the number of programmers in the team multiplied by the minimum skill among all programmers in the team must be at least x. Each programmer should belong to at most one team. Some programmers may be left without a team. Calculate the maximum number of teams that you can assemble. Input The first line contains the integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n and x (1 ≀ n ≀ 10^5; 1 ≀ x ≀ 10^9) β€” the number of programmers and the restriction of team skill respectively. The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≀ a_i ≀ 10^9), where a_i is the skill of the i-th programmer. The sum of n over all inputs does not exceed 10^5. Output For each test case print one integer β€” the maximum number of teams that you can assemble. Example Input 3 5 10 7 11 2 9 5 4 8 2 4 2 3 4 11 1 3 3 7 Output 2 1 0 Submitted Solution: ``` from math import ceil for _ in range(int(input())): n , x =[int(i) for i in input().split()] a = [int(i) for i in input().split()] a.sort(reverse=True) # print(a) c = 0 k = 1 for i in range(n): # print(a[i],k) if a[i]*k >=x: c = c+1 k = 1 else: k = k+1 print(c) ```
instruction
0
107,209
17
214,418
Yes
output
1
107,209
17
214,419