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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mahmoud and Ehab play a game called the even-odd game. Ehab chooses his favorite integer n and then they take turns, starting from Mahmoud. In each player's turn, he has to choose an integer a and subtract it from n such that: * 1 ≤ a ≤ n. * If it's Mahmoud's turn, a has to be even, but if it's Ehab's turn, a has to be odd. If the current player can't choose any number satisfying the conditions, he loses. Can you determine the winner if they both play optimally? Input The only line contains an integer n (1 ≤ n ≤ 109), the number at the beginning of the game. Output Output "Mahmoud" (without quotes) if Mahmoud wins and "Ehab" (without quotes) otherwise. Examples Input 1 Output Ehab Input 2 Output Mahmoud Note In the first sample, Mahmoud can't choose any integer a initially because there is no positive even integer less than or equal to 1 so Ehab wins. In the second sample, Mahmoud has to choose a = 2 and subtract it from n. It's Ehab's turn and n = 0. There is no positive odd integer less than or equal to 0 so Mahmoud wins. Submitted Solution: ``` number = int(input()) if number & 2 == 0: print('Mahmoud') else: print('Ehab') ```
instruction
0
83,128
19
166,256
No
output
1
83,128
19
166,257
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mahmoud and Ehab play a game called the even-odd game. Ehab chooses his favorite integer n and then they take turns, starting from Mahmoud. In each player's turn, he has to choose an integer a and subtract it from n such that: * 1 ≤ a ≤ n. * If it's Mahmoud's turn, a has to be even, but if it's Ehab's turn, a has to be odd. If the current player can't choose any number satisfying the conditions, he loses. Can you determine the winner if they both play optimally? Input The only line contains an integer n (1 ≤ n ≤ 109), the number at the beginning of the game. Output Output "Mahmoud" (without quotes) if Mahmoud wins and "Ehab" (without quotes) otherwise. Examples Input 1 Output Ehab Input 2 Output Mahmoud Note In the first sample, Mahmoud can't choose any integer a initially because there is no positive even integer less than or equal to 1 so Ehab wins. In the second sample, Mahmoud has to choose a = 2 and subtract it from n. It's Ehab's turn and n = 0. There is no positive odd integer less than or equal to 0 so Mahmoud wins. Submitted Solution: ``` beginning_number = int(input()) winner = "ehab" turn = "mahmoud" while True: idx_i = 1 idx_j = beginning_number if turn == "mahmoud": a_number = 0 while idx_i < idx_j: if idx_i % 2 == 0: a_number = idx_i break elif idx_j % 2 == 0: a_number = idx_j break idx_i += 1 idx_j += 1 if a_number == 0: winner = "ehab" break beginning_number -= a_number turn = "ehab" else: a_number = 0 while idx_i < idx_j: if idx_j % 2 != 0: a_number = idx_j break elif idx_i % 2 != 0: a_number = idx_i break idx_i += 1 idx_j += 1 if a_number == 0: winner = "mahmoud" break beginning_number -= a_number turn = "ehab" print(winner) ```
instruction
0
83,129
19
166,258
No
output
1
83,129
19
166,259
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mahmoud and Ehab play a game called the even-odd game. Ehab chooses his favorite integer n and then they take turns, starting from Mahmoud. In each player's turn, he has to choose an integer a and subtract it from n such that: * 1 ≤ a ≤ n. * If it's Mahmoud's turn, a has to be even, but if it's Ehab's turn, a has to be odd. If the current player can't choose any number satisfying the conditions, he loses. Can you determine the winner if they both play optimally? Input The only line contains an integer n (1 ≤ n ≤ 109), the number at the beginning of the game. Output Output "Mahmoud" (without quotes) if Mahmoud wins and "Ehab" (without quotes) otherwise. Examples Input 1 Output Ehab Input 2 Output Mahmoud Note In the first sample, Mahmoud can't choose any integer a initially because there is no positive even integer less than or equal to 1 so Ehab wins. In the second sample, Mahmoud has to choose a = 2 and subtract it from n. It's Ehab's turn and n = 0. There is no positive odd integer less than or equal to 0 so Mahmoud wins. Submitted Solution: ``` a = b = int(input()) sum = 0 while a != 0: sum += a % 10 a //= 10 if sum % 3 == 0 or (sum - 1) % 3 == 0 and b % 2 != 0: print("Ehab") else: print("Mahmoud") ```
instruction
0
83,130
19
166,260
No
output
1
83,130
19
166,261
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mahmoud and Ehab play a game called the even-odd game. Ehab chooses his favorite integer n and then they take turns, starting from Mahmoud. In each player's turn, he has to choose an integer a and subtract it from n such that: * 1 ≤ a ≤ n. * If it's Mahmoud's turn, a has to be even, but if it's Ehab's turn, a has to be odd. If the current player can't choose any number satisfying the conditions, he loses. Can you determine the winner if they both play optimally? Input The only line contains an integer n (1 ≤ n ≤ 109), the number at the beginning of the game. Output Output "Mahmoud" (without quotes) if Mahmoud wins and "Ehab" (without quotes) otherwise. Examples Input 1 Output Ehab Input 2 Output Mahmoud Note In the first sample, Mahmoud can't choose any integer a initially because there is no positive even integer less than or equal to 1 so Ehab wins. In the second sample, Mahmoud has to choose a = 2 and subtract it from n. It's Ehab's turn and n = 0. There is no positive odd integer less than or equal to 0 so Mahmoud wins. Submitted Solution: ``` n = input() if n[-1] in ['1', '3', '5', '7', '9']: print('Ehab') else: print('Mahmud') ```
instruction
0
83,131
19
166,262
No
output
1
83,131
19
166,263
Provide a correct Python 3 solution for this coding contest problem. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5
instruction
0
83,268
19
166,536
"Correct Solution: ``` import sys input=sys.stdin.readline N,Q=map(int,input().split()) L=[i for i in range(N+2)] P=1 C=[0 for i in range(N+2)] C[P-1]=1 C[P+1]=1 C[P]=1 for i in range(Q): A,B=map(int,input().split()) if A==P: P=B elif B==P: P=A L[A],L[B]=L[B],L[A] C[L[P-1]]=1 C[L[P+1]]=1 ans=0 for i in range(1,N+1): if C[i]==1: ans+=1 print(ans) #print(L) #print(C) ```
output
1
83,268
19
166,537
Provide a correct Python 3 solution for this coding contest problem. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5
instruction
0
83,269
19
166,538
"Correct Solution: ``` n,q = (int(i) for i in input().split()) now,x = 1,[0 for i in range(n+2)] x[2] = 1 for i in range(q): a,b = (int(j) for j in input().split()) if a==now or b==now: now=(a+b)-now if x[a]==1 and x[b]==1: pass elif x[a]==1: x[a],x[b] = 0,1 elif x[b]==1: x[a],x[b] = 1,0 x[now+1],x[now-1] = 1,1 x[now] = 1 print(sum(x[1:n+1])) ```
output
1
83,269
19
166,539
Provide a correct Python 3 solution for this coding contest problem. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5
instruction
0
83,270
19
166,540
"Correct Solution: ``` import sys input = sys.stdin.readline sys.setrecursionlimit(10 ** 7) N,Q = map(int,input().split()) AB = [[int(x) for x in input().split()] for _ in range(Q)] cup = list(range(N+1)) + [0] se = set([0,1,2]) ball = 1 for a,b in AB: cup[a],cup[b] = cup[b],cup[a] for x in [a,b]: if cup[x] == 1: ball = x se.add(cup[ball-1]) se.add(cup[ball+1]) se.remove(0) answer = len(se) print(answer) ```
output
1
83,270
19
166,541
Provide a correct Python 3 solution for this coding contest problem. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5
instruction
0
83,271
19
166,542
"Correct Solution: ``` n, q = [ int(v) for v in input().split() ] num = [ 0 for i in range(n) ] num[0] = 1 num[1] = 2 p = 0 for i in range(q): a, b = [ int(v)-1 for v in input().split() ] num[a], num[b] = num[b], num[a] if num[a] == 1: p = a elif num[b] == 1: p = b if p > 0: num[p-1] = 2 if p < n-1: num[p+1] = 2 print(n - num.count(0)) ```
output
1
83,271
19
166,543
Provide a correct Python 3 solution for this coding contest problem. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5
instruction
0
83,272
19
166,544
"Correct Solution: ``` N,Q = map(int,input().split()) dp = [0] * (N+2) dp[2] = 1 ball = 1 for i in range(Q): a,b = map(int,input().split()) dp[a],dp[b] = dp[b],dp[a] if ball == a: ball = b elif ball == b: ball = a dp[ball-1] |= 1 dp[ball+1] |= 1 dp[ball] |= 1 print(sum(dp[1:-1])) ```
output
1
83,272
19
166,545
Provide a correct Python 3 solution for this coding contest problem. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5
instruction
0
83,273
19
166,546
"Correct Solution: ``` n, q = [int(item) for item in input().split()] ball = [0] * n ball[0] = 1 ball[1] = 1 place = 0 for i in range(q): a, b = [int(item) - 1 for item in input().split()] if a == place: place = b elif b == place: place = a ball[a], ball[b] = ball[b], ball[a] if place - 1 >= 0: ball[place - 1] = 1 if place + 1 < n: ball[place + 1] = 1 print(sum(ball)) ```
output
1
83,273
19
166,547
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5 Submitted Solution: ``` N,Q=map(int,input().split()) AB=[list(map(int,input().split()))for _ in range(Q)] ans=1 anls=set([1]) ansidx=0 ray=[e for e in range(0,N)] anls.add(ray[1]) for e,(a,b) in enumerate(AB ): a,b=a-1,b-1 ray[a],ray[b]=ray[b],ray[a] if ansidx!=0: anls.add(ray[ansidx-1]) if ansidx !=N-1: anls.add(ray[ansidx+1]) print(len(anls)) ```
instruction
0
83,274
19
166,548
No
output
1
83,274
19
166,549
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5 Submitted Solution: ``` n,q=map(int,input().split()) p=[i for i in range(n)] v=[0]*n v[1]=1 t=0 for i in range(q): a,b=map(lambda x:int(x)-1,input().split()) if p[b]==t:t=p[a] if p[a]==t:t=p[b] p[a],p[b]=p[b],p[a] if 0<=t+1<n:v[p[t+1]]=1 if 0<=t-1<n:v[p[t-1]]=1 print(sum(v)) ```
instruction
0
83,275
19
166,550
No
output
1
83,275
19
166,551
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5 Submitted Solution: ``` import sys input = sys.stdin.readline sys.setrecursionlimit(10 ** 7) N,Q = map(int,input().split()) AB = [[int(x) for x in input().split()] for _ in range(Q)] cup = list(range(N+1)) + [0] se = set() se.add(1) se.add(2) for a,b in AB: cup[a],cup[b] = cup[b],cup[a] for x in [a,b]: if cup[x] == 1: ball = x se.add(cup[ball-1]) se.add(cup[ball+1]) se.discard(0) answer = len(se) print(answer) ```
instruction
0
83,276
19
166,552
No
output
1
83,276
19
166,553
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N cups and 1 ball. The cups are arranged in a row, from left to right. You turned down all the cups, then inserted the ball into the leftmost cup. Then, you will perform the following Q operations: * The i-th operation: swap the positions of the A_i-th and B_i-th cups from the left. If one of these cups contains the ball, the ball will also move. Since you are a magician, you can cast a magic described below: * Magic: When the ball is contained in the i-th cup from the left, teleport the ball into the adjacent cup (that is, the (i-1)-th or (i+1)-th cup, if they exist). The magic can be cast before the first operation, between two operations, or after the last operation, but you are allowed to cast it at most once during the whole process. Find the number of cups with a possibility of containing the ball after all the operations and possibly casting the magic. Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * 1 \leq A_i < B_i \leq N Input The input is given from Standard Input in the following format: N Q A_1 B_1 A_2 B_2 : A_Q B_Q Output Print the number of cups with a possibility of eventually containing the ball. Examples Input 10 3 1 3 2 4 4 5 Output 4 Input 20 3 1 7 8 20 1 19 Output 5 Submitted Solution: ``` n,q=map(int,input().split()) p=[i for i in range(n)] v=[1,1]+[0]*(n-2) t=0 for i in range(q): a,b=map(lambda x:int(x)-1,input().split()) if p[b]==t:t=p[a] if p[a]==t:t=p[b] p[a],p[b]=p[b],p[a] if 0<=t+1<n:v[p[t+1]]=1 if 0<=t-1<n:v[p[t-1]]=1 print(sum(v)) ```
instruction
0
83,277
19
166,554
No
output
1
83,277
19
166,555
Provide a correct Python 3 solution for this coding contest problem. Give you N cards. Only one natural number is written on each card. However, the same number is never written. From now on, as a question, I will say an appropriate natural number. Please answer the largest remainder you get when you divide the number on the card you have by the number I said. For example, suppose you have three cards with 9, 3, and 8, respectively. If I say "4", find the remainder of 9 and 3 and 8 divided by 4, respectively. The remainders are 1, 3, and 0, respectively, but the largest remainder is 3, so 3 is the correct answer. Let's get started. e? Is it hard to have a lot of cards? It can not be helped. Now let's use the computer to find the largest remainder. Create a program that finds the largest of the remainders of the number on the card divided by the number asked. Ask the question many times, not just once, but never ask the same number more than once. input The input consists of one dataset. Input data is given in the following format. N Q c1 c2 ... cN q1 q2 :: qQ The number of cards N (2 ≤ N ≤ 300000) and the number of questions Q (2 ≤ Q ≤ 100000) are given in the first line, separated by one space, and the number ci (1 ≤ 100000) written on the card in the second line. ci ≤ 300000) is given with one space delimiter. The following Q line is given the number qi (1 ≤ qi ≤ 300000) given as a question. output Output the maximum remainder on one line for each question. Example Input 3 3 9 3 8 4 6 5 Output 3 3 4
instruction
0
83,294
19
166,588
"Correct Solution: ``` import bisect n, q = map(int, input().split()) c = list(map(int, input().split())) c = sorted(c) for i in range(q): query = int(input()) num = query ans = 0 while True: if c[-1] + query < num: break end = bisect.bisect_left(c, num) if end - 1 >= 0: ans = max(ans, c[end-1] % query) num += query print(ans) ```
output
1
83,294
19
166,589
Provide a correct Python 3 solution for this coding contest problem. Give you N cards. Only one natural number is written on each card. However, the same number is never written. From now on, as a question, I will say an appropriate natural number. Please answer the largest remainder you get when you divide the number on the card you have by the number I said. For example, suppose you have three cards with 9, 3, and 8, respectively. If I say "4", find the remainder of 9 and 3 and 8 divided by 4, respectively. The remainders are 1, 3, and 0, respectively, but the largest remainder is 3, so 3 is the correct answer. Let's get started. e? Is it hard to have a lot of cards? It can not be helped. Now let's use the computer to find the largest remainder. Create a program that finds the largest of the remainders of the number on the card divided by the number asked. Ask the question many times, not just once, but never ask the same number more than once. input The input consists of one dataset. Input data is given in the following format. N Q c1 c2 ... cN q1 q2 :: qQ The number of cards N (2 ≤ N ≤ 300000) and the number of questions Q (2 ≤ Q ≤ 100000) are given in the first line, separated by one space, and the number ci (1 ≤ 100000) written on the card in the second line. ci ≤ 300000) is given with one space delimiter. The following Q line is given the number qi (1 ≤ qi ≤ 300000) given as a question. output Output the maximum remainder on one line for each question. Example Input 3 3 9 3 8 4 6 5 Output 3 3 4
instruction
0
83,296
19
166,592
"Correct Solution: ``` N,Q = list(map(int,input().split())) C = list(map(int,input().split())) M = max(C)+1 t1 = [0]*(M) for v in C: t1[v] = 1 t2 = [0]*(M) v = 0 for i in range(M): if t1[i]: v = i t2[i] = v for i in range(Q): t = int(input()) n_v = M-1 m = 0 while n_v != 0: amr = n_v % t m = max(m, amr) tmp = n_v-m-1 if tmp <= 0: break n_v = t2[tmp] print(m) ```
output
1
83,296
19
166,593
Provide a correct Python 3 solution for this coding contest problem. Give you N cards. Only one natural number is written on each card. However, the same number is never written. From now on, as a question, I will say an appropriate natural number. Please answer the largest remainder you get when you divide the number on the card you have by the number I said. For example, suppose you have three cards with 9, 3, and 8, respectively. If I say "4", find the remainder of 9 and 3 and 8 divided by 4, respectively. The remainders are 1, 3, and 0, respectively, but the largest remainder is 3, so 3 is the correct answer. Let's get started. e? Is it hard to have a lot of cards? It can not be helped. Now let's use the computer to find the largest remainder. Create a program that finds the largest of the remainders of the number on the card divided by the number asked. Ask the question many times, not just once, but never ask the same number more than once. input The input consists of one dataset. Input data is given in the following format. N Q c1 c2 ... cN q1 q2 :: qQ The number of cards N (2 ≤ N ≤ 300000) and the number of questions Q (2 ≤ Q ≤ 100000) are given in the first line, separated by one space, and the number ci (1 ≤ 100000) written on the card in the second line. ci ≤ 300000) is given with one space delimiter. The following Q line is given the number qi (1 ≤ qi ≤ 300000) given as a question. output Output the maximum remainder on one line for each question. Example Input 3 3 9 3 8 4 6 5 Output 3 3 4
instruction
0
83,297
19
166,594
"Correct Solution: ``` N, Q = list(map(int, input().split())) C = list(map(int, input().split())) M = max(C) + 1 T = [0]*(M) for v in C: T[v] = 1 L = [0]*(M) m = 0 for i in range(M): L[i] = m if T[i] : m = i for i in range(Q): q = int(input()) maxv = 0 cur = m while 0 < cur: p = cur % q maxv = max(maxv, p) if cur - p < 0: break cur = L[cur - p] print(maxv) ```
output
1
83,297
19
166,595
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give you N cards. Only one natural number is written on each card. However, the same number is never written. From now on, as a question, I will say an appropriate natural number. Please answer the largest remainder you get when you divide the number on the card you have by the number I said. For example, suppose you have three cards with 9, 3, and 8, respectively. If I say "4", find the remainder of 9 and 3 and 8 divided by 4, respectively. The remainders are 1, 3, and 0, respectively, but the largest remainder is 3, so 3 is the correct answer. Let's get started. e? Is it hard to have a lot of cards? It can not be helped. Now let's use the computer to find the largest remainder. Create a program that finds the largest of the remainders of the number on the card divided by the number asked. Ask the question many times, not just once, but never ask the same number more than once. input The input consists of one dataset. Input data is given in the following format. N Q c1 c2 ... cN q1 q2 :: qQ The number of cards N (2 ≤ N ≤ 300000) and the number of questions Q (2 ≤ Q ≤ 100000) are given in the first line, separated by one space, and the number ci (1 ≤ 100000) written on the card in the second line. ci ≤ 300000) is given with one space delimiter. The following Q line is given the number qi (1 ≤ qi ≤ 300000) given as a question. output Output the maximum remainder on one line for each question. Example Input 3 3 9 3 8 4 6 5 Output 3 3 4 Submitted Solution: ``` # Aizu Problem 0270: Modular Query import sys, math, os, datetime # read input: PYDEV = os.environ.get('PYDEV') if PYDEV=="True": sys.stdin = open("sample-input.txt", "rt") N, Q = [int(_) for _ in input().split()] A = [int(_) for _ in input().split()] for q in range(Q): m = int(input()) print(max([a % m for a in A])) ```
instruction
0
83,298
19
166,596
No
output
1
83,298
19
166,597
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give you N cards. Only one natural number is written on each card. However, the same number is never written. From now on, as a question, I will say an appropriate natural number. Please answer the largest remainder you get when you divide the number on the card you have by the number I said. For example, suppose you have three cards with 9, 3, and 8, respectively. If I say "4", find the remainder of 9 and 3 and 8 divided by 4, respectively. The remainders are 1, 3, and 0, respectively, but the largest remainder is 3, so 3 is the correct answer. Let's get started. e? Is it hard to have a lot of cards? It can not be helped. Now let's use the computer to find the largest remainder. Create a program that finds the largest of the remainders of the number on the card divided by the number asked. Ask the question many times, not just once, but never ask the same number more than once. input The input consists of one dataset. Input data is given in the following format. N Q c1 c2 ... cN q1 q2 :: qQ The number of cards N (2 ≤ N ≤ 300000) and the number of questions Q (2 ≤ Q ≤ 100000) are given in the first line, separated by one space, and the number ci (1 ≤ 100000) written on the card in the second line. ci ≤ 300000) is given with one space delimiter. The following Q line is given the number qi (1 ≤ qi ≤ 300000) given as a question. output Output the maximum remainder on one line for each question. Example Input 3 3 9 3 8 4 6 5 Output 3 3 4 Submitted Solution: ``` N,Q = list(map(int,input().split())) C = list(map(int,input().split())) C.sort() def next_max(mi,v): l, r = 0, mi-1 while l <= r: mid = int((l+r)/2) if C[mid] == v: return mid - 1 if C[mid] > v: r = mid - 1 else: l = mid + 1 return r for i in range(Q): t = int(input()) idx = N-1 m = C[-1]% t idx = next_max(idx,C[idx]-m) while idx >= 0: amr = C[idx]%t m = max(m,amr) idx = next_max(idx,C[idx]-amr) print(m) ```
instruction
0
83,299
19
166,598
No
output
1
83,299
19
166,599
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give you N cards. Only one natural number is written on each card. However, the same number is never written. From now on, as a question, I will say an appropriate natural number. Please answer the largest remainder you get when you divide the number on the card you have by the number I said. For example, suppose you have three cards with 9, 3, and 8, respectively. If I say "4", find the remainder of 9 and 3 and 8 divided by 4, respectively. The remainders are 1, 3, and 0, respectively, but the largest remainder is 3, so 3 is the correct answer. Let's get started. e? Is it hard to have a lot of cards? It can not be helped. Now let's use the computer to find the largest remainder. Create a program that finds the largest of the remainders of the number on the card divided by the number asked. Ask the question many times, not just once, but never ask the same number more than once. input The input consists of one dataset. Input data is given in the following format. N Q c1 c2 ... cN q1 q2 :: qQ The number of cards N (2 ≤ N ≤ 300000) and the number of questions Q (2 ≤ Q ≤ 100000) are given in the first line, separated by one space, and the number ci (1 ≤ 100000) written on the card in the second line. ci ≤ 300000) is given with one space delimiter. The following Q line is given the number qi (1 ≤ qi ≤ 300000) given as a question. output Output the maximum remainder on one line for each question. Example Input 3 3 9 3 8 4 6 5 Output 3 3 4 Submitted Solution: ``` (N, Q) = map(int, input().split(' ')) card = [int(x) for x in input().split(' ')] for i in range(0,Q): q = int(input()) print(max([int(x%q) for x in card])) ```
instruction
0
83,300
19
166,600
No
output
1
83,300
19
166,601
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give you N cards. Only one natural number is written on each card. However, the same number is never written. From now on, as a question, I will say an appropriate natural number. Please answer the largest remainder you get when you divide the number on the card you have by the number I said. For example, suppose you have three cards with 9, 3, and 8, respectively. If I say "4", find the remainder of 9 and 3 and 8 divided by 4, respectively. The remainders are 1, 3, and 0, respectively, but the largest remainder is 3, so 3 is the correct answer. Let's get started. e? Is it hard to have a lot of cards? It can not be helped. Now let's use the computer to find the largest remainder. Create a program that finds the largest of the remainders of the number on the card divided by the number asked. Ask the question many times, not just once, but never ask the same number more than once. input The input consists of one dataset. Input data is given in the following format. N Q c1 c2 ... cN q1 q2 :: qQ The number of cards N (2 ≤ N ≤ 300000) and the number of questions Q (2 ≤ Q ≤ 100000) are given in the first line, separated by one space, and the number ci (1 ≤ 100000) written on the card in the second line. ci ≤ 300000) is given with one space delimiter. The following Q line is given the number qi (1 ≤ qi ≤ 300000) given as a question. output Output the maximum remainder on one line for each question. Example Input 3 3 9 3 8 4 6 5 Output 3 3 4 Submitted Solution: ``` # AOJ 0270: Modular Query # Python3 2018.6.26 bal4u N, Q = map(int, input().split()) tbl = [0]*300005 nmax, tbl[0] = 0, 1 c = list(map(int, input().split())) for k in c: tbl[k] = 1 if k > nmax: nmax = k tbl[k & 1] = 1 tbl[k & 3] = 1 tbl[k & 7] = 1 for i in range(Q): q = int(input()) if q > nmax: print(nmax) else: f = 0 for k in range(q-1, 0, -1): for i in range(k, nmax+1, q): if tbl[i]: print(k) f = 1 break if f: break ```
instruction
0
83,301
19
166,602
No
output
1
83,301
19
166,603
Provide a correct Python 3 solution for this coding contest problem. problem You have to play a darts game with the following rules. You can throw up to four arrows towards the target. You don't have to throw all four, you don't have to throw one. The target is divided into N parts. The score P1, ..., PN is written in each part. The total score S of the place where the arrow is stuck is the basis of your score. S is a predetermined score M or less. In the case of, S will be your score as it is. However, if S exceeds M, your score will be 0 points. Create a program that finds the maximum number of points you can get given the written points and the value of M. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the integers N (1 ≤ N ≤ 1000) and M (1 ≤ M ≤ 200000000 = 2 × 108) are written in this order, separated by blanks. In (1 ≤ i ≤ N), Pi (1 ≤ Pi ≤ 100000000 = 108) is written. Of the scoring data, 20% of the points satisfy N ≤ 100 and 50% of the points satisfy N ≤ 300. When both N and M are 0, the input is completed. The number of data sets does not exceed 10. output Outputs the maximum number of points you can get for each dataset on one line. Examples Input 4 50 3 14 15 9 3 21 16 11 2 0 0 Output 48 20 Input None Output None
instruction
0
83,302
19
166,604
"Correct Solution: ``` import bisect def main(): while True: n,m=map(int,input().split()) if n==0 and m==0: break p=[0]+sorted([int(input()) for i in range(n)]) s=list() for i in range(n+1): for j in p[i:]: if p[i]+j>m: break s+=[p[i]+j] s.sort() print(max(i+s[bisect.bisect_right(s,m-i)-1] for i in s)) if __name__=="__main__": main() ```
output
1
83,302
19
166,605
Provide a correct Python 3 solution for this coding contest problem. problem You have to play a darts game with the following rules. You can throw up to four arrows towards the target. You don't have to throw all four, you don't have to throw one. The target is divided into N parts. The score P1, ..., PN is written in each part. The total score S of the place where the arrow is stuck is the basis of your score. S is a predetermined score M or less. In the case of, S will be your score as it is. However, if S exceeds M, your score will be 0 points. Create a program that finds the maximum number of points you can get given the written points and the value of M. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the integers N (1 ≤ N ≤ 1000) and M (1 ≤ M ≤ 200000000 = 2 × 108) are written in this order, separated by blanks. In (1 ≤ i ≤ N), Pi (1 ≤ Pi ≤ 100000000 = 108) is written. Of the scoring data, 20% of the points satisfy N ≤ 100 and 50% of the points satisfy N ≤ 300. When both N and M are 0, the input is completed. The number of data sets does not exceed 10. output Outputs the maximum number of points you can get for each dataset on one line. Examples Input 4 50 3 14 15 9 3 21 16 11 2 0 0 Output 48 20 Input None Output None
instruction
0
83,303
19
166,606
"Correct Solution: ``` def input_score(N): score = [] # 的の配点をいれる配列、投げないときの点も入れておく score.append(0) for i in range(N): score.append(int(input())) return score def cal_four_sum_score(two_score, M): left = 0 right = len(two_score) - 1 max_score = 0 while left != right: now_score = two_score[left] + two_score[right] if now_score < M: # scoreの和がMより小さい時、解の候補である max_score = max(max_score, now_score) left += 1 elif now_score > M: # scoreの和がMより大きい時、解の候補ではない right -= 1 else: # scoreの和がちょうどMになるとき、解である max_score = M break return max_score def cal_two_sum_score(score): two_score = [] # 二回投げた時に取りうる範囲を入れる配列 contain_sum = {} # 二回投げたときにその値はすでに存在するか判断する配列 for i in range(len(score)): for j in range(len(score)): now_score = score[i] + score[j] if not contain_sum.get(now_score): contain_sum[now_score] = True two_score.append(now_score) two_score.sort() # 尺取り法を用いるためsortしておく return two_score def main(): while True: N, M = map(int, input().split()) if N == 0 and M == 0: break score = input_score(N) # 的の配点の入力 two_score = cal_two_sum_score(score) # 二回投げた時に取りうる点の範囲を計算 max_score = cal_four_sum_score(two_score, M) # 四回投げたときに取りうる点の範囲を計算 print(max_score) if __name__ == "__main__": main() ```
output
1
83,303
19
166,607
Provide a correct Python 3 solution for this coding contest problem. problem You have to play a darts game with the following rules. You can throw up to four arrows towards the target. You don't have to throw all four, you don't have to throw one. The target is divided into N parts. The score P1, ..., PN is written in each part. The total score S of the place where the arrow is stuck is the basis of your score. S is a predetermined score M or less. In the case of, S will be your score as it is. However, if S exceeds M, your score will be 0 points. Create a program that finds the maximum number of points you can get given the written points and the value of M. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the integers N (1 ≤ N ≤ 1000) and M (1 ≤ M ≤ 200000000 = 2 × 108) are written in this order, separated by blanks. In (1 ≤ i ≤ N), Pi (1 ≤ Pi ≤ 100000000 = 108) is written. Of the scoring data, 20% of the points satisfy N ≤ 100 and 50% of the points satisfy N ≤ 300. When both N and M are 0, the input is completed. The number of data sets does not exceed 10. output Outputs the maximum number of points you can get for each dataset on one line. Examples Input 4 50 3 14 15 9 3 21 16 11 2 0 0 Output 48 20 Input None Output None
instruction
0
83,304
19
166,608
"Correct Solution: ``` import bisect,sys input = sys.stdin.readline while True : n,m = map(int , input().split()) p = [0] if (n == 0) : break for i in range(n): pp = int(input()) p.append(pp) pt1 = [] for i,ii in enumerate(p): for jj in p[i:]: pt1.append(ii+jj) pt1.sort() ans = 0 for i in pt1: if (i > m) : break amari = m - i ans = max(ans , i+ pt1[bisect.bisect_right(pt1,amari)-1]) print(ans) ```
output
1
83,304
19
166,609
Provide a correct Python 3 solution for this coding contest problem. problem You have to play a darts game with the following rules. You can throw up to four arrows towards the target. You don't have to throw all four, you don't have to throw one. The target is divided into N parts. The score P1, ..., PN is written in each part. The total score S of the place where the arrow is stuck is the basis of your score. S is a predetermined score M or less. In the case of, S will be your score as it is. However, if S exceeds M, your score will be 0 points. Create a program that finds the maximum number of points you can get given the written points and the value of M. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the integers N (1 ≤ N ≤ 1000) and M (1 ≤ M ≤ 200000000 = 2 × 108) are written in this order, separated by blanks. In (1 ≤ i ≤ N), Pi (1 ≤ Pi ≤ 100000000 = 108) is written. Of the scoring data, 20% of the points satisfy N ≤ 100 and 50% of the points satisfy N ≤ 300. When both N and M are 0, the input is completed. The number of data sets does not exceed 10. output Outputs the maximum number of points you can get for each dataset on one line. Examples Input 4 50 3 14 15 9 3 21 16 11 2 0 0 Output 48 20 Input None Output None
instruction
0
83,305
19
166,610
"Correct Solution: ``` from bisect import bisect_right while True: n, m = map(int, input().split()) if not n: break ps = [0] + sorted(int(input()) for _ in range(n)) p2 = set() for i, pi in enumerate(ps): for pj in ps[i:]: if pi + pj > m: break p2.add(pi + pj) p2 = sorted(p2) print(max(pi + p2[bisect_right(p2, m - pi) - 1] for pi in p2)) ```
output
1
83,305
19
166,611
Provide a correct Python 3 solution for this coding contest problem. problem You have to play a darts game with the following rules. You can throw up to four arrows towards the target. You don't have to throw all four, you don't have to throw one. The target is divided into N parts. The score P1, ..., PN is written in each part. The total score S of the place where the arrow is stuck is the basis of your score. S is a predetermined score M or less. In the case of, S will be your score as it is. However, if S exceeds M, your score will be 0 points. Create a program that finds the maximum number of points you can get given the written points and the value of M. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the integers N (1 ≤ N ≤ 1000) and M (1 ≤ M ≤ 200000000 = 2 × 108) are written in this order, separated by blanks. In (1 ≤ i ≤ N), Pi (1 ≤ Pi ≤ 100000000 = 108) is written. Of the scoring data, 20% of the points satisfy N ≤ 100 and 50% of the points satisfy N ≤ 300. When both N and M are 0, the input is completed. The number of data sets does not exceed 10. output Outputs the maximum number of points you can get for each dataset on one line. Examples Input 4 50 3 14 15 9 3 21 16 11 2 0 0 Output 48 20 Input None Output None
instruction
0
83,307
19
166,614
"Correct Solution: ``` import bisect while 1: n,m=map(int,input().split()) if n==0:break s=[] a=[0]+sorted([int(input()) for _ in range(n)]) for i in range(n+1): for j in a[i:]: if a[i]+j>m:break s+=[a[i]+j] s.sort() print(max(i+s[bisect.bisect_right(s,m-i)-1]for i in s)) ```
output
1
83,307
19
166,615
Provide a correct Python 3 solution for this coding contest problem. problem You have to play a darts game with the following rules. You can throw up to four arrows towards the target. You don't have to throw all four, you don't have to throw one. The target is divided into N parts. The score P1, ..., PN is written in each part. The total score S of the place where the arrow is stuck is the basis of your score. S is a predetermined score M or less. In the case of, S will be your score as it is. However, if S exceeds M, your score will be 0 points. Create a program that finds the maximum number of points you can get given the written points and the value of M. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the integers N (1 ≤ N ≤ 1000) and M (1 ≤ M ≤ 200000000 = 2 × 108) are written in this order, separated by blanks. In (1 ≤ i ≤ N), Pi (1 ≤ Pi ≤ 100000000 = 108) is written. Of the scoring data, 20% of the points satisfy N ≤ 100 and 50% of the points satisfy N ≤ 300. When both N and M are 0, the input is completed. The number of data sets does not exceed 10. output Outputs the maximum number of points you can get for each dataset on one line. Examples Input 4 50 3 14 15 9 3 21 16 11 2 0 0 Output 48 20 Input None Output None
instruction
0
83,308
19
166,616
"Correct Solution: ``` import bisect def main(): while True: n, m = map(int, input().split()) if n == 0: break p = [0] + list(int(input()) for i in range(n)) point = [] for i in range(n): for j in p[i:]: a = p[i] + j if a < m: point.append(a) point.sort() print(max(i + point[bisect.bisect_left(point, m - i) - 1] for i in point)) if __name__=="__main__": main() ```
output
1
83,308
19
166,617
Provide a correct Python 3 solution for this coding contest problem. problem You have to play a darts game with the following rules. You can throw up to four arrows towards the target. You don't have to throw all four, you don't have to throw one. The target is divided into N parts. The score P1, ..., PN is written in each part. The total score S of the place where the arrow is stuck is the basis of your score. S is a predetermined score M or less. In the case of, S will be your score as it is. However, if S exceeds M, your score will be 0 points. Create a program that finds the maximum number of points you can get given the written points and the value of M. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the integers N (1 ≤ N ≤ 1000) and M (1 ≤ M ≤ 200000000 = 2 × 108) are written in this order, separated by blanks. In (1 ≤ i ≤ N), Pi (1 ≤ Pi ≤ 100000000 = 108) is written. Of the scoring data, 20% of the points satisfy N ≤ 100 and 50% of the points satisfy N ≤ 300. When both N and M are 0, the input is completed. The number of data sets does not exceed 10. output Outputs the maximum number of points you can get for each dataset on one line. Examples Input 4 50 3 14 15 9 3 21 16 11 2 0 0 Output 48 20 Input None Output None
instruction
0
83,309
19
166,618
"Correct Solution: ``` import bisect # python template for atcoder1 import sys sys.setrecursionlimit(10**9) input = sys.stdin.readline def solve(): N, M = map(int, input().split()) if N*M == 0: return False P = [0]+[int(input()) for _ in range(N)] # solve k = [P[i]+P[j] for i in range(N) for j in range(i, N)] k = sorted(k) ret = 0 for tmp in k: if tmp > M: break else: r = M-tmp l = bisect.bisect_right(k, r) if l >= len(k): tmp += k[-1] elif l != 0: tmp += k[l-1] ret = max(ret, tmp) return ret ans = [] while True: ret = solve() if ret: ans.append(ret) else: break print("\n".join(map(str, ans))) ```
output
1
83,309
19
166,619
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem You have to play a darts game with the following rules. You can throw up to four arrows towards the target. You don't have to throw all four, you don't have to throw one. The target is divided into N parts. The score P1, ..., PN is written in each part. The total score S of the place where the arrow is stuck is the basis of your score. S is a predetermined score M or less. In the case of, S will be your score as it is. However, if S exceeds M, your score will be 0 points. Create a program that finds the maximum number of points you can get given the written points and the value of M. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the integers N (1 ≤ N ≤ 1000) and M (1 ≤ M ≤ 200000000 = 2 × 108) are written in this order, separated by blanks. In (1 ≤ i ≤ N), Pi (1 ≤ Pi ≤ 100000000 = 108) is written. Of the scoring data, 20% of the points satisfy N ≤ 100 and 50% of the points satisfy N ≤ 300. When both N and M are 0, the input is completed. The number of data sets does not exceed 10. output Outputs the maximum number of points you can get for each dataset on one line. Examples Input 4 50 3 14 15 9 3 21 16 11 2 0 0 Output 48 20 Input None Output None Submitted Solution: ``` from time import perf_counter from itertools import combinations_with_replacement from bisect import bisect_right from functools import lru_cache def solve1(darts, scores, point, target): if darts == 3 or point > target: if point > target: return 0 else: pos = bisect_right(scores, target-point) return point + scores[pos-1] max_score = 0 for s in scores: result1 = solve1(darts + 1, scores, point + s, target) # ???????????´??? # result2 = solve1(darts + 1, scores, point, target) # ?????°????????£?????´??? max_score = max(max_score, result1) return max_score def solve2(darts, scores, point, target): """ ???????????? """ combi = combinations_with_replacement(scores, 4) max_score = 0 max_combi = [] for s in combi: score = sum(s) if score <= target and score > max_score: max_score = score max_combi = s print('max_combi: {0}'.format(max_combi)) return max_score Target = 0 def solve3(darts, scores, point, target): """ ?????£???????????°??????????????¢??? """ global Target Target = target return cache_solve3(darts, tuple(scores), point) @lru_cache(maxsize=None) def cache_solve3(darts, scores, point): if darts == 4 or point > Target: if point > Target: return 0 else: pos = bisect_right(scores, Target-point) return point + scores[pos-1] max_score = 0 for s in scores: result1 = cache_solve3(darts + 1, scores, point + s) max_score = max(max_score, result1) return max_score def solve4(darts, scores, point, target): if darts == 3 or point > target: if point > target: return 0 else: pos = bisect_right(scores, target-point) return point + scores[pos-1] max_score = 0 t = (target - point) // (4 - darts) min_lim = bisect_right(scores, t) for s in range(min_lim-1, len(scores)): result1 = solve4(darts + 1, scores, point + scores[s], target) # ???????????´??? max_score = max(max_score, result1) return max_score def solve5(darts, scores, point, target): combi = combinations_with_replacement(scores, 2) i_scores = [sum(x) for x in combi if sum(x) < target] i_scores.sort() results = [x + find_le(i_scores, target-x) for x in i_scores] return max(results) def find_le(a, x): 'Find rightmost value less than or equal to x' i = bisect_right(a, x) if i: return a[i-1] raise ValueError if __name__ == '__main__': # ??????????????\??? while True: N, M = [int(x) for x in input().split(' ')] scores = [int(input()) for _ in range(N)] if N == 0 and M == 0: break # ???????????????????????????????¨???? scores.append(0) # ??????????????????????????????????????¨??????????????¢???????????????????????????=0???????????? scores.sort() # ???????????°?????????????????????????????? # start_time = perf_counter() # ans = solve1(0, scores, 0, M) # end_time = perf_counter() # print('solve1, elapsed: {0}'.format(end_time - start_time)) # print(ans) # start_time = perf_counter() # ans = solve2(0, scores, 0, M) # end_time = perf_counter() # print('solve2, elapsed: {0}'.format(end_time - start_time)) # print(ans) # start_time = perf_counter() # ans = solve4(0, scores, 0, M) # end_time = perf_counter() # print('solve4, elapsed: {0}'.format(end_time - start_time)) # print(ans) #start_time = perf_counter() ans = solve5(0, scores, 0, M) #end_time = perf_counter() #print('solve5, elapsed: {0}'.format(end_time - start_time)) print(ans) # ???????????¨??? # print(ans) ```
instruction
0
83,313
19
166,626
Yes
output
1
83,313
19
166,627
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem You have to play a darts game with the following rules. You can throw up to four arrows towards the target. You don't have to throw all four, you don't have to throw one. The target is divided into N parts. The score P1, ..., PN is written in each part. The total score S of the place where the arrow is stuck is the basis of your score. S is a predetermined score M or less. In the case of, S will be your score as it is. However, if S exceeds M, your score will be 0 points. Create a program that finds the maximum number of points you can get given the written points and the value of M. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the integers N (1 ≤ N ≤ 1000) and M (1 ≤ M ≤ 200000000 = 2 × 108) are written in this order, separated by blanks. In (1 ≤ i ≤ N), Pi (1 ≤ Pi ≤ 100000000 = 108) is written. Of the scoring data, 20% of the points satisfy N ≤ 100 and 50% of the points satisfy N ≤ 300. When both N and M are 0, the input is completed. The number of data sets does not exceed 10. output Outputs the maximum number of points you can get for each dataset on one line. Examples Input 4 50 3 14 15 9 3 21 16 11 2 0 0 Output 48 20 Input None Output None Submitted Solution: ``` from bisect import bisect_right while True: n, m = map(int, input().split()) if not n: break ps = [0] + sorted(int(input()) for _ in range(n)) p2 = set() for i, pi in enumerate(ps): for pj in ps[i:]: if pi + pj > m: break p2.add(pi + pj) p2 = sorted(p2) max_s = 0 for pi in p2: j = bisect_right(p2, m - pi) s = pi + p2[j - 1] if max_s < s: max_s = s print(max_s) ```
instruction
0
83,316
19
166,632
No
output
1
83,316
19
166,633
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The north country is conquered by the great shogun-sama (which means king). Recently many beautiful dice which were made by order of the great shogun-sama were given to all citizens of the country. All citizens received the beautiful dice with a tear of delight. Now they are enthusiastically playing a game with the dice. The game is played on grid of h * w cells that each of which has a number, which is designed by the great shogun-sama's noble philosophy. A player put his die on a starting cell and move it to a destination cell with rolling the die. After rolling the die once, he takes a penalty which is multiple of the number written on current cell and the number printed on a bottom face of the die, because of malicious conspiracy of an enemy country. Since the great shogun-sama strongly wishes, it is decided that the beautiful dice are initially put so that 1 faces top, 2 faces south, and 3 faces east. You will find that the number initially faces north is 5, as sum of numbers on opposite faces of a die is always 7. Needless to say, idiots those who move his die outside the grid are punished immediately. The great shogun-sama is pleased if some citizens can move the beautiful dice with the least penalty when a grid and a starting cell and a destination cell is given. Other citizens should be sent to coal mine (which may imply labor as slaves). Write a program so that citizens can deal with the great shogun-sama's expectations. Constraints * 1 ≤ h, w ≤ 10 * 0 ≤ number assinged to a cell ≤ 9 * the start point and the goal point are different. Input The first line of each data set has two numbers h and w, which stands for the number of rows and columns of the grid. Next h line has w integers, which stands for the number printed on the grid. Top-left corner corresponds to northwest corner. Row number and column number of the starting cell are given in the following line, and those of the destination cell are given in the next line. Rows and columns are numbered 0 to h-1, 0 to w-1, respectively. Input terminates when h = w = 0. Output For each dataset, output the least penalty. Example Input 1 2 8 8 0 0 0 1 3 3 1 2 5 2 8 3 0 1 2 0 0 2 2 3 3 1 2 5 2 8 3 0 1 2 0 0 1 2 2 2 1 2 3 4 0 0 0 1 2 3 1 2 3 4 5 6 0 0 1 2 0 0 Output 24 19 17 6 21 Submitted Solution: ``` import heapq ```
instruction
0
83,320
19
166,640
No
output
1
83,320
19
166,641
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The north country is conquered by the great shogun-sama (which means king). Recently many beautiful dice which were made by order of the great shogun-sama were given to all citizens of the country. All citizens received the beautiful dice with a tear of delight. Now they are enthusiastically playing a game with the dice. The game is played on grid of h * w cells that each of which has a number, which is designed by the great shogun-sama's noble philosophy. A player put his die on a starting cell and move it to a destination cell with rolling the die. After rolling the die once, he takes a penalty which is multiple of the number written on current cell and the number printed on a bottom face of the die, because of malicious conspiracy of an enemy country. Since the great shogun-sama strongly wishes, it is decided that the beautiful dice are initially put so that 1 faces top, 2 faces south, and 3 faces east. You will find that the number initially faces north is 5, as sum of numbers on opposite faces of a die is always 7. Needless to say, idiots those who move his die outside the grid are punished immediately. The great shogun-sama is pleased if some citizens can move the beautiful dice with the least penalty when a grid and a starting cell and a destination cell is given. Other citizens should be sent to coal mine (which may imply labor as slaves). Write a program so that citizens can deal with the great shogun-sama's expectations. Constraints * 1 ≤ h, w ≤ 10 * 0 ≤ number assinged to a cell ≤ 9 * the start point and the goal point are different. Input The first line of each data set has two numbers h and w, which stands for the number of rows and columns of the grid. Next h line has w integers, which stands for the number printed on the grid. Top-left corner corresponds to northwest corner. Row number and column number of the starting cell are given in the following line, and those of the destination cell are given in the next line. Rows and columns are numbered 0 to h-1, 0 to w-1, respectively. Input terminates when h = w = 0. Output For each dataset, output the least penalty. Example Input 1 2 8 8 0 0 0 1 3 3 1 2 5 2 8 3 0 1 2 0 0 2 2 3 3 1 2 5 2 8 3 0 1 2 0 0 1 2 2 2 1 2 3 4 0 0 0 1 2 3 1 2 3 4 5 6 0 0 1 2 0 0 Output 24 19 17 6 21 Submitted Solution: ``` T, S, E, W, N, B = range(6) class Dice: def __init__(self): self.state = list(range(1,7)) def copy(self): dice = Dice() dice.state = [x for x in self.state] return dice def _turn(self, turn): k = self.state[turn[-1]] for i in range(4): self.state[turn[i]], k = k, self.state[turn[i]] def go_south(self): turn = [T, S, B, N] self._turn(turn) def go_north(self): turn = [N, B, S, T] self._turn(turn) def go_east(self): turn = [T, E, B, W] self._turn(turn) def go_west(self): turn = [T, W, B, E] self._turn(turn) def north(self): return self.state[N] def south(self): return self.state[S] def east(self): return self.state[E] def west(self): return self.state[W] def bottom(self): return self.state[B] def top(self): return self.state[T] def goto(self, n): func = [self.go_west, self.go_north, self.go_east, self.go_south] func[n]() def show(self): d = list("TSEWNB") for x, s in zip(d, self.state): print(x + " : {}".format(s)) import heapq INF = 10**9 if __name__ == "__main__": dx = [-1, 0, 1, 0] dy = [0, -1, 0, 1] while True: dp = [[[[INF for _ in range(7)] for i in range(7)] for j in range(10)] for k in range(10)] h, w = map(int, input().split()) if h == 0: break cost = [list(map(int, input().split())) for _ in range(h)] sy, sx = map(int, input().split()) gy, gx = map(int, input().split()) q = [] dice = Dice() heapq.heappush(q, [0, sx, sy, dice]) dp[sy][sx][dice.bottom()][dice.east()] ans = INF+1 while q: c, x, y, dice = heapq.heappop(q) if x == gx and y == gy: ans = min(ans, c) continue if c >= ans: continue else: for i in range(4): ddx, ddy = dx[i], dy[i] if x + ddx >= w or x + ddx < 0 or y + ddy >= h or y + ddy < 0: continue else: d = dice.copy() d.goto(i) new_cost = c + d.bottom()*cost[y+ddy][x+ddx] if dp[y+ddy][x+ddx][d.bottom()][d.east()] > new_cost: dp[y+ddy][x+ddx][d.bottom()][d.east()] = new_cost heapq.heappush(q, [new_cost, x+ddx, y+ddy, d]) print(ans) ```
instruction
0
83,321
19
166,642
No
output
1
83,321
19
166,643
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's imagine that you're playing the following simple computer game. The screen displays n lined-up cubes. Each cube is painted one of m colors. You are allowed to delete not more than k cubes (that do not necessarily go one after another). After that, the remaining cubes join together (so that the gaps are closed) and the system counts the score. The number of points you score equals to the length of the maximum sequence of cubes of the same color that follow consecutively. Write a program that determines the maximum possible number of points you can score. Remember, you may delete no more than k any cubes. It is allowed not to delete cubes at all. Input The first line contains three integers n, m and k (1 ≤ n ≤ 2·105, 1 ≤ m ≤ 105, 0 ≤ k < n). The second line contains n integers from 1 to m — the numbers of cube colors. The numbers of colors are separated by single spaces. Output Print the maximum possible number of points you can score. Examples Input 10 3 2 1 2 1 1 3 2 1 1 2 2 Output 4 Input 10 2 2 1 2 1 2 1 1 2 1 1 2 Output 5 Input 3 1 2 1 1 1 Output 3 Note In the first sample you should delete the fifth and the sixth cubes. In the second sample you should delete the fourth and the seventh cubes. In the third sample you shouldn't delete any cubes. Submitted Solution: ``` n,m,k = map(int,input().split()) a = list(map(int,input().split())) from collections import defaultdict mp = defaultdict(list) for i in range(n): mp[a[i]].append(i) res = 0 for i in range(n): val = a[i] st = 0 tmp = 0 ll =0 rr = len(mp[val])-1 while rr-ll>=0: m = rr+ll>>1 if mp[val][m]<=i: ll = m+1 st = m else: rr = m-1 l = 0 r = len(mp[val])-st while r-l>=0: mid = r+l>>1 rang = min(st+mid,len(mp[val])) cnt = rang-st+1 diff = mp[val][rang-1]-mp[val][st]+1 if diff-cnt<k: l = mid+1 tmp = mid else: r = mid-1 res = max(res,tmp) print(res) ```
instruction
0
83,669
19
167,338
No
output
1
83,669
19
167,339
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's imagine that you're playing the following simple computer game. The screen displays n lined-up cubes. Each cube is painted one of m colors. You are allowed to delete not more than k cubes (that do not necessarily go one after another). After that, the remaining cubes join together (so that the gaps are closed) and the system counts the score. The number of points you score equals to the length of the maximum sequence of cubes of the same color that follow consecutively. Write a program that determines the maximum possible number of points you can score. Remember, you may delete no more than k any cubes. It is allowed not to delete cubes at all. Input The first line contains three integers n, m and k (1 ≤ n ≤ 2·105, 1 ≤ m ≤ 105, 0 ≤ k < n). The second line contains n integers from 1 to m — the numbers of cube colors. The numbers of colors are separated by single spaces. Output Print the maximum possible number of points you can score. Examples Input 10 3 2 1 2 1 1 3 2 1 1 2 2 Output 4 Input 10 2 2 1 2 1 2 1 1 2 1 1 2 Output 5 Input 3 1 2 1 1 1 Output 3 Note In the first sample you should delete the fifth and the sixth cubes. In the second sample you should delete the fourth and the seventh cubes. In the third sample you shouldn't delete any cubes. Submitted Solution: ``` n, m, k = map(int, input().split()) L = list(map(int, input().split())) cnt = [0] * (m+1) dp = [1] * n bg = 0 for idx in range(len(L)): cnt[L[idx]] += 1 dp[bg] = cnt[L[bg]] if len(L[0:idx + 1]) - cnt[L[bg]] > k: dp[bg] = cnt[L[bg]] cnt[L[bg]] -= 1 bg += 1 print(max(dp)) ```
instruction
0
83,670
19
167,340
No
output
1
83,670
19
167,341
Provide tags and a correct Python 3 solution for this coding contest problem. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew
instruction
0
83,708
19
167,416
Tags: hashing, implementation Correct Solution: ``` n = int(input()) a = [] dict = {} for i in range(n): nume, scor = input().split() scor = int(scor) dict[nume] = dict.get(nume, 0) + scor a.append([nume, dict[nume]]) maxim = max(dict.values()) for nume, scor in a: if scor >= maxim and dict[nume] == maxim: print(nume) break ```
output
1
83,708
19
167,417
Provide tags and a correct Python 3 solution for this coding contest problem. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew
instruction
0
83,709
19
167,418
Tags: hashing, implementation Correct Solution: ``` #############<------------ Xorcestor_X ---------------->############ from math import * def is_even(p): n=len(p) count=0 for i in range(n): index=p.index(i,i,n) if i==index: pass else: count+=1 temp=p[i] p[i]=p[index] p[index]=temp # print(p) if count%2==0: return True else: return False prime=[] def SieveOfEratosthenes(): global prime prime=[1]*2000010 prime[1]=0 p=2 while p*p<=2000001: if prime[p]: for i in range(p*p,2000002,p): prime[i]=0 lpf=[] def precompute(): global lpf lpf=[0]*1000001 for i in range(2,1000001): if not lpf[i]: for j in range(i,1000001,i): if not lpf[j]: lpf[j]=i def binpow(a,b): res=1 while b>0: if b&1: res*=a a*=a b>>=1 return res def modpow(a,b,x): res=1 while b>0: if b&1: res*=a res%=x a*=a a%=x b>>=1 return res cont=[] def f(x): global cont total=0 for i in cont: total+=abs(i-x) return total def bs(low,high,target): while low+3<high: mid=(low+high)/2 if arr[mid]<target: low=mid else: high=mid-1 for i in range(high,low-1,-1): if arr[o]<target: return i return -1 def ternary_search(l,r): while r-l>10: m1=l+(r-l)/3 m2=r-(r-l)/3 f1=f(m1) f2=f(m2) if f1>f2: l=m1 else: r=m2 mino=f(l) for i in range(l,r+1): mino=min(mino,f(i)) return mino dic={} maxo=0 l=[] for _ in range(int(input())): s=input() l.append(s) name,score=s.split() score=int(score) dic[name]=dic.get(name,0)+score for a in dic.values(): maxo=max(maxo,a) count=0 for a in dic.values(): if a==maxo: count+=1 if count==1: for a in dic: if dic[a]==maxo: print(a) exit() else: dic2={} for a in l: name,score=a.split() score=int(score) dic2[name]=dic2.get(name,0)+score if dic2[name]>=maxo and dic[name]==maxo: print(name) exit() ```
output
1
83,709
19
167,419
Provide tags and a correct Python 3 solution for this coding contest problem. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew
instruction
0
83,710
19
167,420
Tags: hashing, implementation Correct Solution: ``` import re def read_rounds(): n = int(input().strip()) rounds = [] for _ in range(0, n): (name, score) = input().strip().split(' ') score = int(score) rounds.append((name, score)) return rounds def find_max_points_players(rounds): players_points = {} for (name, score) in rounds: if name in players_points: players_points[name] += score else: players_points[name] = score max_points = max(players_points.values()) players = [name for (name, points) in players_points.items() \ if points == max_points] return (max_points, players) def get_rounds_of(rounds, players): players = set(players) return [(name, score) for (name, score) in rounds \ if name in players] def find_first_player_with(points, rounds): players_points = {} for (name, score) in rounds: if name in players_points: players_points[name] += score else: players_points[name] = score if players_points[name] >= points: return name def find_winner_name(rounds): (points, players) = find_max_points_players(rounds) winners_rounds = get_rounds_of(rounds, players) return find_first_player_with(points, winners_rounds) print(find_winner_name(read_rounds())) ```
output
1
83,710
19
167,421
Provide tags and a correct Python 3 solution for this coding contest problem. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew
instruction
0
83,711
19
167,422
Tags: hashing, implementation Correct Solution: ``` scores = {} arr = [] for _ in range(int(input().strip())): name, score = input().strip().split() score = int(score) arr.append((name, score)) if name not in scores.keys(): scores[name] = score else: scores[name] += score max_score = max(scores.values()) new = {} for name, score in arr: if name not in new.keys(): new[name] = score else: new[name] += score if new[name] >= max_score and scores[name] == max_score: print(name) break ```
output
1
83,711
19
167,423
Provide tags and a correct Python 3 solution for this coding contest problem. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew
instruction
0
83,712
19
167,424
Tags: hashing, implementation Correct Solution: ``` n = int(input()) d ={} mans = 0 names=[] scores=[] for i in range(n): m,s = input().split() s=int(s) if m in d: d[m]+=s else: d[m]=s names.append(m) scores.append(d[m]) mkey =max(d,key=d.get) for i in range(n): if scores[i]>=d[mkey] and d[names[i]]==d[mkey]: print(names[i]) break ```
output
1
83,712
19
167,425
Provide tags and a correct Python 3 solution for this coding contest problem. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew
instruction
0
83,713
19
167,426
Tags: hashing, implementation Correct Solution: ``` score_table = {} numb_of_games = int(input()) for x in range(numb_of_games): name, score = input().split() if name in score_table: score_table[name].append([(int(score) + score_table[name][-1][0]), x]) else: score_table[name] = [[int(score), x]] highest = (max(score_table.items(), key=lambda x: x[1][-1][0]))[1][-1][0] leaders = [k for k in score_table.items() if k[1][-1][0] == highest] win_round = 1000 for lead in leaders: for zxc in lead[1]: if zxc[1] < win_round: if zxc[0] >= highest: win_round = zxc[1] winner = lead[0] else: break print(winner) ```
output
1
83,713
19
167,427
Provide tags and a correct Python 3 solution for this coding contest problem. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew
instruction
0
83,714
19
167,428
Tags: hashing, implementation Correct Solution: ``` def main(): tracks, persons, n = [], {}, int(input()) for i in range(n): a, b = input().split() b = int(b) persons[a] = persons.get(a, 0) + b #keep track of score for each input , if he is the top it would come in the next loop first tracks.append( [ a, persons[a] ] ) maximum = max(persons.values()) for name, score in tracks: if score >= maximum and persons[name] >= maximum: print(name);break if __name__ == "__main__":main() ```
output
1
83,714
19
167,429
Provide tags and a correct Python 3 solution for this coding contest problem. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew
instruction
0
83,715
19
167,430
Tags: hashing, implementation Correct Solution: ``` from collections import OrderedDict d=OrderedDict() p=[] for _ in range(int(input())): A,B=map(str,input().split()) if A not in d.keys(): d[A]=0 d[A]+=int(B) p.append([d[A],A]) m=max(d.values()) for value,key in p: if value>=m and d[key]>=m: print(key) break ```
output
1
83,715
19
167,431
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew Submitted Solution: ``` n, p, d = int(input()), [], {} for i in range(n): name, score = list(input().split()) d[name] = d.get(name,0) + int(score) p.append([name, d[name]]) m = max(d.values()) for i, j in p: if d[i] == m and int(j) >= m: print(i) break ```
instruction
0
83,716
19
167,432
Yes
output
1
83,716
19
167,433
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew Submitted Solution: ``` h = {} def frm(l, m): for t in l: if t[1] >= m: return t[0] return -1 g = {} for i in range(int(input())): nm, sc = input().split() g[nm] = g[nm] + int(sc) if nm in g else int(sc) h[nm] = h[nm] + [(i, g[nm])] if nm in h else [(i, g[nm])] m = max(g.values()) val = None valr = -1 for nm in h: if g[nm] == m: r = frm(h[nm], m) if valr == -1 or r < valr: val = nm valr = r print(val) ```
instruction
0
83,717
19
167,434
Yes
output
1
83,717
19
167,435
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew Submitted Solution: ``` from math import * n = int(input()) result = dict() for i in range(n): name, score_ = input().split() score = int(score_) if name in result: result[name][0] += score if result[name][0] > result[name][1][-1][0]: result[name][1].append([result[name][0],i+1]) else: if score > 0: result[name] = [score, [[score, i+1]]] else: result[name] = [score, [[0,0]]] tem = 0 for item in result: if result[item][0] > tem: tem = result[item][0] pos = 1001 for item in result: if result[item][0] == tem: lenth = len(result[item][1]) for j in range(lenth): if result[item][1][j][0] >= tem: postem = result[item][1][j][1] if postem < pos: pos = postem final = item print(final) ```
instruction
0
83,718
19
167,436
Yes
output
1
83,718
19
167,437
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew Submitted Solution: ``` n=int(input().strip()) d={} for i in range(n): name,score=map(str,input().strip().split()) score=int(score) d[name]=d.get(name,[[0,0]])+[[i,d.get(name,[[0,0]])[-1][-1]+score]] final=-99999 result=[] for i in d: if(d[i][-1][-1]>=final): if(d[i][-1][-1]==final): result.append(i) else: result=[i] final=d[i][-1][-1] if(len(result)==1): print(result[0]) else: ans='' index=99999 for i in result: for num,score in d[i]: if(score>=final and num<index): ans=i index=num break print(ans) ```
instruction
0
83,719
19
167,438
Yes
output
1
83,719
19
167,439
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew Submitted Solution: ``` n=int(input()) score={} for i in range(n): s=input().split() a,b=s[0],int(s[1]) if a in score.keys(): if score[a][2]<score[a][0]+b: score[a]=(score[a][0]+b,i,score[a][0]+b) else: score[a]=(score[a][0]+b,score[a][1],score[a][2]) else: score[a]=(b,i,b) z={} for i in score.keys(): if score[i][2] in z.keys(): if score[i][1]<z[score[i][0]][1]: z[score[i][2]]=(i,score[i][1]) else: z[score[i][2]]=(i,score[i][1]) m=max(z.keys()) print(z[m][0]) ```
instruction
0
83,720
19
167,440
No
output
1
83,720
19
167,441
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew Submitted Solution: ``` n=int(input()) d=dict() for i in range(n): x,y=input().split() y=int(y) if(x not in d): d[x]=y else: d[x]+=y xx=list(d.keys()) yy=list(d.values()) l=[] for i in range(len(xx)): l.append([yy[i],xx[i]]) l.sort() m=0 for i in l: if(i[0]>m): x=i[1] m=i[0] print(x) ```
instruction
0
83,721
19
167,442
No
output
1
83,721
19
167,443
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew Submitted Solution: ``` z=input x,q={},[] for i in range(int(z())): a,b=z().split() q.append((a,int(b))) try: x[a]+=int(b) except: x[a]=0 x[a]+=int(b) d=max(x.values()) for a,b in q: if x[a]==d and b<=d: print(a) break ```
instruction
0
83,722
19
167,444
No
output
1
83,722
19
167,445
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to m) at the end of the game, than wins the one of them who scored at least m points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. Input The first line contains an integer number n (1 ≤ n ≤ 1000), n is the number of rounds played. Then follow n lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. Output Print the name of the winner. Examples Input 3 mike 3 andrew 5 mike 2 Output andrew Input 3 andrew 3 andrew 2 mike 5 Output andrew Submitted Solution: ``` n = int(input()) names = [] scores = [] n_app = names.append s_app = scores.append for i in range(n): raw = input() n_app(raw.split(' ')[0]) s_app(raw.split(' ')[1]) def indices(lst, element): result = [] r_app = result.append offset = -1 while True: try: offset = lst.index(element, offset+1) except ValueError: return result r_app(offset) nset = list(set(names)) name_1 = nset[0] name_2 = nset[1] ind_1 = indices(names, name_1) ind_2 = indices(names, name_2) scores_1 = map(scores.__getitem__,ind_1) scores_2 = map(scores.__getitem__,ind_2) scores_1 = list(map(int, scores_1)) scores_2 = list(map(int, scores_2)) if sum(scores_1) < 0: print (name_2) elif sum(scores_2) < 0: print (name_1) elif sum(scores_1) > sum(scores_2): print (name_1) elif sum(scores_2) > sum(scores_1): print (name_2) else: m = sum(scores_1) scores = list(map(int, scores)) s_1 = 0 s_2 = 0 i = 0 while (s_1 < m and s_2 < m): if names[i] == name_1: s_1 += scores[i] else: s_2 += scores[i] i += 1 if s_1 == m: print (name_1) elif s_2 == m: print (name_2) ```
instruction
0
83,723
19
167,446
No
output
1
83,723
19
167,447