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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Omkar is playing his favorite pixelated video game, Bed Wars! In Bed Wars, there are n players arranged in a circle, so that for all j such that 2 ≤ j ≤ n, player j - 1 is to the left of the player j, and player j is to the right of player j - 1. Additionally, player n is to the left of player 1, and player 1 is to the right of player n. Currently, each player is attacking either the player to their left or the player to their right. This means that each player is currently being attacked by either 0, 1, or 2 other players. A key element of Bed Wars strategy is that if a player is being attacked by exactly 1 other player, then they should logically attack that player in response. If instead a player is being attacked by 0 or 2 other players, then Bed Wars strategy says that the player can logically attack either of the adjacent players. Unfortunately, it might be that some players in this game are not following Bed Wars strategy correctly. Omkar is aware of whom each player is currently attacking, and he can talk to any amount of the n players in the game to make them instead attack another player — i. e. if they are currently attacking the player to their left, Omkar can convince them to instead attack the player to their right; if they are currently attacking the player to their right, Omkar can convince them to instead attack the player to their left. Omkar would like all players to be acting logically. Calculate the minimum amount of players that Omkar needs to talk to so that after all players he talked to (if any) have changed which player they are attacking, all players are acting logically according to Bed Wars strategy. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10^4). The descriptions of the test cases follows. The first line of each test case contains one integer n (3 ≤ n ≤ 2 ⋅ 10^5) — the amount of players (and therefore beds) in this game of Bed Wars. The second line of each test case contains a string s of length n. The j-th character of s is equal to L if the j-th player is attacking the player to their left, and R if the j-th player is attacking the player to their right. It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5. Output For each test case, output one integer: the minimum number of players Omkar needs to talk to to make it so that all players are acting logically according to Bed Wars strategy. It can be proven that it is always possible for Omkar to achieve this under the given constraints. Example Input 5 4 RLRL 6 LRRRRL 8 RLLRRRLL 12 LLLLRRLRRRLL 5 RRRRR Output 0 1 1 3 2 Note In the first test case, players 1 and 2 are attacking each other, and players 3 and 4 are attacking each other. Each player is being attacked by exactly 1 other player, and each player is attacking the player that is attacking them, so all players are already being logical according to Bed Wars strategy and Omkar does not need to talk to any of them, making the answer 0. In the second test case, not every player acts logically: for example, player 3 is attacked only by player 2, but doesn't attack him in response. Omkar can talk to player 3 to convert the attack arrangement to LRLRRL, in which you can see that all players are being logical according to Bed Wars strategy, making the answer 1. Submitted Solution: ``` from sys import stdin def inp(): return stdin.buffer.readline().rstrip().decode('utf8') def itg(): return int(stdin.buffer.readline()) def mpint(): return map(int, stdin.buffer.readline().split()) # ############################## import # ############################## main # def solve(): def check_idx(x): if x == -1: return n - 1 if x == n: return 0 return x def is_good(x): left = s[check_idx(x-1)] right = s[check_idx(x+1)] if s[x] == 'L': return left == 'R' or right == 'R' return left == 'L' or right == 'L' for case in range(1, itg() + 1): n = itg() s = list(inp()) ans = 0 is_bad = set(i for i in range(n) if not is_good(i)) if not is_bad: print(0) continue while is_bad: start = temp = is_bad.pop() count = 1 while is_bad: # right temp = check_idx(temp + 1) if temp in is_bad: is_bad.remove(temp) count += 1 else: break temp = start while is_bad: # left temp = check_idx(temp - 1) if temp in is_bad: is_bad.remove(temp) count += 1 else: break count = 1 if count == 1 else count >> 1 ans += count print(ans) # Please check! ```
instruction
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Omkar is playing his favorite pixelated video game, Bed Wars! In Bed Wars, there are n players arranged in a circle, so that for all j such that 2 ≤ j ≤ n, player j - 1 is to the left of the player j, and player j is to the right of player j - 1. Additionally, player n is to the left of player 1, and player 1 is to the right of player n. Currently, each player is attacking either the player to their left or the player to their right. This means that each player is currently being attacked by either 0, 1, or 2 other players. A key element of Bed Wars strategy is that if a player is being attacked by exactly 1 other player, then they should logically attack that player in response. If instead a player is being attacked by 0 or 2 other players, then Bed Wars strategy says that the player can logically attack either of the adjacent players. Unfortunately, it might be that some players in this game are not following Bed Wars strategy correctly. Omkar is aware of whom each player is currently attacking, and he can talk to any amount of the n players in the game to make them instead attack another player — i. e. if they are currently attacking the player to their left, Omkar can convince them to instead attack the player to their right; if they are currently attacking the player to their right, Omkar can convince them to instead attack the player to their left. Omkar would like all players to be acting logically. Calculate the minimum amount of players that Omkar needs to talk to so that after all players he talked to (if any) have changed which player they are attacking, all players are acting logically according to Bed Wars strategy. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10^4). The descriptions of the test cases follows. The first line of each test case contains one integer n (3 ≤ n ≤ 2 ⋅ 10^5) — the amount of players (and therefore beds) in this game of Bed Wars. The second line of each test case contains a string s of length n. The j-th character of s is equal to L if the j-th player is attacking the player to their left, and R if the j-th player is attacking the player to their right. It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5. Output For each test case, output one integer: the minimum number of players Omkar needs to talk to to make it so that all players are acting logically according to Bed Wars strategy. It can be proven that it is always possible for Omkar to achieve this under the given constraints. Example Input 5 4 RLRL 6 LRRRRL 8 RLLRRRLL 12 LLLLRRLRRRLL 5 RRRRR Output 0 1 1 3 2 Note In the first test case, players 1 and 2 are attacking each other, and players 3 and 4 are attacking each other. Each player is being attacked by exactly 1 other player, and each player is attacking the player that is attacking them, so all players are already being logical according to Bed Wars strategy and Omkar does not need to talk to any of them, making the answer 0. In the second test case, not every player acts logically: for example, player 3 is attacked only by player 2, but doesn't attack him in response. Omkar can talk to player 3 to convert the attack arrangement to LRLRRL, in which you can see that all players are being logical according to Bed Wars strategy, making the answer 1. Submitted Solution: ``` for test in range(int(input())): n = int(input()) s1 = input() #n = len(s1) s = [] tt = 0 opi = 0 cou = 0 for i in range(len(s1)): s.append(s1[i]) if s[i] == s[i-1]: cou+=1 else: if cou > 5: opi += 1 cou = 1 if cou > 5: opi += 1 ans = 0 for i in range(n): if s[i-1] == s[i] and s[i] == s[(i+1)%n]: if s[i] == "R": s[i] = "L" else: s[i] = "R" ans += 1 #print(''.join(s)) #print(ans) print(ans-opi) ```
instruction
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79,332
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No
output
1
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158,665
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Omkar is playing his favorite pixelated video game, Bed Wars! In Bed Wars, there are n players arranged in a circle, so that for all j such that 2 ≤ j ≤ n, player j - 1 is to the left of the player j, and player j is to the right of player j - 1. Additionally, player n is to the left of player 1, and player 1 is to the right of player n. Currently, each player is attacking either the player to their left or the player to their right. This means that each player is currently being attacked by either 0, 1, or 2 other players. A key element of Bed Wars strategy is that if a player is being attacked by exactly 1 other player, then they should logically attack that player in response. If instead a player is being attacked by 0 or 2 other players, then Bed Wars strategy says that the player can logically attack either of the adjacent players. Unfortunately, it might be that some players in this game are not following Bed Wars strategy correctly. Omkar is aware of whom each player is currently attacking, and he can talk to any amount of the n players in the game to make them instead attack another player — i. e. if they are currently attacking the player to their left, Omkar can convince them to instead attack the player to their right; if they are currently attacking the player to their right, Omkar can convince them to instead attack the player to their left. Omkar would like all players to be acting logically. Calculate the minimum amount of players that Omkar needs to talk to so that after all players he talked to (if any) have changed which player they are attacking, all players are acting logically according to Bed Wars strategy. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10^4). The descriptions of the test cases follows. The first line of each test case contains one integer n (3 ≤ n ≤ 2 ⋅ 10^5) — the amount of players (and therefore beds) in this game of Bed Wars. The second line of each test case contains a string s of length n. The j-th character of s is equal to L if the j-th player is attacking the player to their left, and R if the j-th player is attacking the player to their right. It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5. Output For each test case, output one integer: the minimum number of players Omkar needs to talk to to make it so that all players are acting logically according to Bed Wars strategy. It can be proven that it is always possible for Omkar to achieve this under the given constraints. Example Input 5 4 RLRL 6 LRRRRL 8 RLLRRRLL 12 LLLLRRLRRRLL 5 RRRRR Output 0 1 1 3 2 Note In the first test case, players 1 and 2 are attacking each other, and players 3 and 4 are attacking each other. Each player is being attacked by exactly 1 other player, and each player is attacking the player that is attacking them, so all players are already being logical according to Bed Wars strategy and Omkar does not need to talk to any of them, making the answer 0. In the second test case, not every player acts logically: for example, player 3 is attacked only by player 2, but doesn't attack him in response. Omkar can talk to player 3 to convert the attack arrangement to LRLRRL, in which you can see that all players are being logical according to Bed Wars strategy, making the answer 1. Submitted Solution: ``` for t in range(int(input())): n=int(input()) s=input() if len(list(set(list(s))))==1: print((n+2)//3) else: a=list(s) c=0 ans=[] temp=[] i=1 temp.append(a[0]) while i<len(a): if a[i]==a[i-1]: temp.append(a[i]) else: if a[i]=='L': ans.append(temp) else: ans.append(temp) temp=[] temp.append(a[i]) i+=1 for i in range(len(ans)): if len(ans[i])>=3: c+=(len(ans[i])//3) if len(temp)>=3: c+=len(temp)//3 if set(ans[0])==set(temp): if len(temp)>1: if len(ans[0])%3!=0 and len(temp)%3!=0 and len(ans[0])<3: c+=1 if len(ans[0])==1 and len(temp)>3 and len(temp)%3!=2: c-=1 else: if len(ans[0])>=2 and len(ans[0])%3==2: c+=1 print(c) ```
instruction
0
79,333
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158,666
No
output
1
79,333
19
158,667
Provide tags and a correct Python 3 solution for this coding contest problem. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1.
instruction
0
79,434
19
158,868
Tags: brute force, dp, implementation Correct Solution: ``` n=int(input()) s=input().split() M=[[0]*n for _ in range(n)] Max=-1000 num=0 for i in range(n): if s[i]=='0': M[i][i]=1 else: M[i][i]=-1 num+=1 Max=max(M[i][i],Max) for j in range(n-1,-1,-1): for i in range(j-1,-1,-1): if s[i]=='1': M[i][j]=M[i+1][j]-1 else: M[i][j]=M[i+1][j]+1 Max=max(M[i][j],Max) print(num+Max) ```
output
1
79,434
19
158,869
Provide tags and a correct Python 3 solution for this coding contest problem. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1.
instruction
0
79,437
19
158,874
Tags: brute force, dp, implementation Correct Solution: ``` class CodeforcesTask327ASolution: def __init__(self): self.result = '' self.n = 0 self.a = [] def read_input(self): self.n = int(input()) self.a = [int(x) for x in input().split(" ")] def process_task(self): mx = 0 base = sum(self.a) for x in range(self.n): for y in range(x + 1, self.n + 1): n = sum(self.a[x:y]) nb = base - n + (y - x - n) #print(self.a[x:y], x, y, n, nb, mx) mx = max(mx, nb) self.result = str(mx) def get_result(self): return self.result if __name__ == "__main__": Solution = CodeforcesTask327ASolution() Solution.read_input() Solution.process_task() print(Solution.get_result()) ```
output
1
79,437
19
158,875
Provide tags and a correct Python 3 solution for this coding contest problem. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1.
instruction
0
79,438
19
158,876
Tags: brute force, dp, implementation Correct Solution: ``` n = int(input()) a = [int(i) for i in input().split()][:n] print(max(sum(a)-2*sum(a[i:j])+j-i for i in range(n) for j in range(i+1,n+1))) ```
output
1
79,438
19
158,877
Provide tags and a correct Python 3 solution for this coding contest problem. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1.
instruction
0
79,439
19
158,878
Tags: brute force, dp, implementation Correct Solution: ``` n=int(input()) l=[int(j) for j in input().split()] t=sum(l) m=0 for i in range(0,n): for j in range(i,n): d=sum(l[i:j+1]) f=t-d r=f+j-i+1 - d m=max(m,r) print(m) ```
output
1
79,439
19
158,879
Provide tags and a correct Python 3 solution for this coding contest problem. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1.
instruction
0
79,440
19
158,880
Tags: brute force, dp, implementation Correct Solution: ``` n=int(input()) l=[int(i) for i in input().split()] total=sum(l) w=0 z=0 for i in range(n): c=0 k=total z=0 for j in range(i,n): if l[j]==0: c+=1 else: k-=1 z=max(z,c+k) w=max(w,z) print(w) ```
output
1
79,440
19
158,881
Provide tags and a correct Python 3 solution for this coding contest problem. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1.
instruction
0
79,441
19
158,882
Tags: brute force, dp, implementation Correct Solution: ``` n=int(input()) N = [int(num) for num in input().split(" ", n-1)] A=[0]*n i=p=0 while(i<n): j=i while j<n : if(N[j]==0): p+=1 elif(N[j]==1 and p>0): p-=1 A[i]=max(A[i],p) j+=1 p=0 i+=1 x=max(A) y=sum(N) if(x>0): print(x+y) else: print(y-1) ```
output
1
79,441
19
158,883
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1. Submitted Solution: ``` n = int(input()) a = list(map(int,input().split())) total = 0 maxv = 0 for i in range(n): if a[i] == 1: total += 1 temp = 0 for i in range(n): for j in range(i+1,n): temp = 0 for k in range(i,j+1): if a[k] == 0: temp += 1 else: temp -= 1 if maxv < temp: maxv = temp if n == 1: print(1-a[0]) elif maxv == 0: print(total-1) else: print(total+maxv) ```
instruction
0
79,442
19
158,884
Yes
output
1
79,442
19
158,885
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1. Submitted Solution: ``` n=int(input()) line=input().split() m=[int(i) for i in line] one=m.count(1) if 0 not in m: print(n-1) else: two=0 a=0 for i in range(n): if m[i]==1: a-=1 elif m[i]==0: a+=1 if a<0: a=0 if a>two: two=a print(one+two) ```
instruction
0
79,443
19
158,886
Yes
output
1
79,443
19
158,887
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1. Submitted Solution: ``` n = int(input()) count0 = 0 count1 = 0 maxRun = -1 for i in input().split(): t = int(i) if(t == 1): count1 += 1 if(count0 > 0): count0 -= 1 else: count0 += 1 if(count0 > maxRun): maxRun = count0 ans = count1 + maxRun print(ans) ```
instruction
0
79,444
19
158,888
Yes
output
1
79,444
19
158,889
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1. Submitted Solution: ``` n = int(input()) a = list(map(int, input().split())) s = 0 v = [] for i in a: s += i if i: v.append(-1) else: v.append(1) x = v[0] ans = x mn = x for i in range(len(v)): x += v[i] ans = max(ans, x - mn) mn = min(mn, x) print(s + ans) ```
instruction
0
79,445
19
158,890
Yes
output
1
79,445
19
158,891
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1. Submitted Solution: ``` if __name__ == "__main__": n = int(input()) a = list(map(int, input().split())) maxSoFar = sum(1 for i in a if i == 1) S = maxSoFar maxHere = maxSoFar inverse_dp = [1 if i == 0 else -1 for i in a] for i in range(n): maxHere += a[i] if maxSoFar < maxHere: maxSoFar = maxHere if maxHere < S: maxHere = S maxSoFar = max(maxSoFar,maxHere) print(maxSoFar) ```
instruction
0
79,446
19
158,892
No
output
1
79,446
19
158,893
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1. Submitted Solution: ``` n = int(input()) a = input().split() l = [0] zbr = 0 for i in range (n): if (a[i] == "1"): zbr += 1 l.append (zbr) for i in range (n): r = [] for j in range (i, n): p = l[i - 1] s = l[j - i] k = l[-1] - l[j] r.append(p + s + k) l.append(max(r)) print (max(l)) ```
instruction
0
79,447
19
158,894
No
output
1
79,447
19
158,895
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1. Submitted Solution: ``` n=int(input()) l=input().split() a=0 b=0 m=[] for i in range(n): if int(l[i])==0: a+=1 else: m.append(a) b+=1 a=0 f=max(m)+b print(f) ```
instruction
0
79,448
19
158,896
No
output
1
79,448
19
158,897
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Iahub got bored, so he invented a game to be played on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of x means to apply operation x = 1 - x. The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. Input The first line of the input contains an integer n (1 ≤ n ≤ 100). In the second line of the input there are n integers: a1, a2, ..., an. It is guaranteed that each of those n values is either 0 or 1. Output Print an integer — the maximal number of 1s that can be obtained after exactly one move. Examples Input 5 1 0 0 1 0 Output 4 Input 4 1 0 0 1 Output 4 Note In the first case, flip the segment from 2 to 5 (i = 2, j = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1]. In the second case, flipping only the second and the third element (i = 2, j = 3) will turn all numbers into 1. Submitted Solution: ``` n=int(input()) p=[int(x) for x in input().split()] if n==1: if p[0]==1: print(0) else: print(1) else: q=[0]*n for i in range (1,n): if p[i]==1: q[i]=q[i-1]+1 else: q[i]=q[i-1]-1 print(p.count(1)+max(q)-min(q)) ```
instruction
0
79,449
19
158,898
No
output
1
79,449
19
158,899
Provide tags and a correct Python 3 solution for this coding contest problem. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points.
instruction
0
80,233
19
160,466
Tags: games, greedy, implementation Correct Solution: ``` n,m=map(int,input().split()) res=n+m-1 diff=min(n,m) z=res-diff print(z,diff) ```
output
1
80,233
19
160,467
Provide tags and a correct Python 3 solution for this coding contest problem. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points.
instruction
0
80,234
19
160,468
Tags: games, greedy, implementation Correct Solution: ``` import os import sys from io import BytesIO, IOBase from math import ceil, floor, pow, sqrt, gcd from collections import Counter, defaultdict from itertools import permutations, combinations from time import time, sleep BUFSIZE = 8192 MOD = 1000000007 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") stdin, stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) from os import path if path.exists('tc.txt'): stdin = open('tc.txt', 'r') def gmi(): return map(int, stdin.readline().strip().split()) def gms(): return map(str, stdin.readline().strip().split()) def gari(): return list(map(int, stdin.readline().strip().split())) def gart(): return tuple(map(int, stdin.readline().strip().split())) def gars(): return list(map(str, stdin.readline().strip().split())) def gs(): return stdin.readline().strip() def gls(): return list(stdin.readline().strip()) def gi(): return int(stdin.readline()) def pri(i, end="\n"): stdout.write(f"{i}" + end) def priar(ar, end="\n"): stdout.write(" ".join(map(str, ar)) + end) def solve(): r, b = gmi() return [max(b, r)-1, min(b, r)] if __name__ == "__main__": tc = 1 for i in range(tc): priar(solve()) ```
output
1
80,234
19
160,469
Provide tags and a correct Python 3 solution for this coding contest problem. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points.
instruction
0
80,235
19
160,470
Tags: games, greedy, implementation Correct Solution: ``` # your code goes here arr = input().split() a = int(arr[0]) b = int(arr[1]) #print('a = ' + str(a) + 'b = ' + str(b)) if a%2 == 1 and b%2 == 1: if a < b: # print('a') a -= 1 flag = 1 else: # print('b') b -= 1 flag = 2 elif a%2 == 1: a -= 1 flag = 1 elif b%2 == 1: b -= 1 flag = 2 else: if a > b: a -= 1 flag = 1 else: b -= 1 flag = 2 if flag == 1: s = 'a' else: s = 'b' play = 2 while a > 0 and b > 0: if flag == 1: if play == 2: s += 'b' b -= 1 play = 1 flag = 2 else: s += 'a' a -= 1 play = 2 else: if play == 2: s += 'a' a -= 1 play = 1 flag = 1 else: s += 'b' b -= 1 play = 2 while a > 0: s += 'a' a -= 1 while b > 0: s += 'b' b -= 1 s = list(s) prev = s[0] n = len(s) a = 0 b = 0 for i in range(1,n): if s[i] == prev: a += 1 else: b += 1 prev = s[i] print(str(a) + ' ' + str(b)) ```
output
1
80,235
19
160,471
Provide tags and a correct Python 3 solution for this coding contest problem. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points.
instruction
0
80,236
19
160,472
Tags: games, greedy, implementation Correct Solution: ``` n, m = map(int, input().split()) seq = [] if n%2 and m%2: print(n+m-1-min(n, m), min(n, m)) elif not n%2 and not m%2: print(n+m-1-min(n, m), min(n, m)) else: print(n+m-1-min(n, m), min(n, m)) ```
output
1
80,236
19
160,473
Provide tags and a correct Python 3 solution for this coding contest problem. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points.
instruction
0
80,237
19
160,474
Tags: games, greedy, implementation Correct Solution: ``` """Things to do if you are stuck:- 1.Read the problem statement again, maybe you've read something wrong. 2.See the explanation for the sample input . 3.If the solution is getting too complex in cases where no. of submissions are high ,then drop that idea because there is something simple which you are missing. 4.Check for runtime errors if unexpected o/p is seen. 5.Check on edge cases before submitting. 6.Ensure that you have read all the inputs before returning for a test case. 7.Try to think of brute force first if nothing is striking. 8.Take more examples 9.Don't give up , maybe you're just one statement away! """ #pyrival orz import os import sys import math from io import BytesIO, IOBase input = sys.stdin.readline ############ ---- Input Functions ---- ############ def inp(): return(int(input())) def inlt(): return(list(map(int,input().split()))) def insr(): s = input() return(list(s[:len(s) - 1])) def invr(): return(map(int,input().split())) ############ ---- Dijkstra with path ---- ############ def dijkstra(start, distance, path, n): # requires n == number of vertices in graph, # adj == adjacency list with weight of graph visited = [False for _ in range(n)] # To keep track of vertices that are visited distance[start] = 0 # distance of start node from itself is 0 for i in range(n): v = -1 # Initialize v == vertex from which its neighboring vertices' distance will be calculated for j in range(n): # If it has not been visited and has the lowest distance from start if not visited[v] and (v == -1 or distance[j] < distance[v]): v = j if distance[v] == math.inf: break visited[v] = True # Mark as visited for edge in adj[v]: destination = edge[0] # Neighbor of the vertex weight = edge[1] # Its corresponding weight if distance[v] + weight < distance[destination]: # If its distance is less than the stored distance distance[destination] = distance[v] + weight # Update the distance path[destination] = v # Update the path def gcd(a, b): if b == 0: return a else: return gcd(b, a%b) def lcm(a, b): return (a*b)//gcd(a, b) def ncr(n, r): return math.factorial(n)//(math.factorial(n-r)*math.factorial(r)) def npr(n, r): return math.factorial(n)//math.factorial(n-r) def seive(n): primes = [True]*(n+1) ans = [] for i in range(2, n): if not primes[i]: continue j = 2*i while j <= n: primes[j] = False j += i for p in range(2, n+1): if primes[p]: ans += [p] return ans def factors(n): factors = [] x = 1 while x*x <= n: if n % x == 0: if n // x == x: factors.append(x) else: factors.append(x) factors.append(n//x) x += 1 return factors # Functions: list of factors, seive of primes, gcd of two numbers, # lcm of two numbers, npr, ncr def main(): try: n, m = invr() print(max(n, m) - 1, min(n, m)) except Exception as e: print(e) # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": main() ```
output
1
80,237
19
160,475
Provide tags and a correct Python 3 solution for this coding contest problem. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points.
instruction
0
80,238
19
160,476
Tags: games, greedy, implementation Correct Solution: ``` from sys import stdin, stdout if not __debug__: stdin = open("input.txt", "r") tcs = int(stdin.readline()) if not __debug__ else 1 t = 1 while t<=tcs: n, m = map(int, stdin.readline().split()) big = max(n, m) small = min(n, m) print(big-1, small) t += 1 ```
output
1
80,238
19
160,477
Provide tags and a correct Python 3 solution for this coding contest problem. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points.
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Tags: games, greedy, implementation Correct Solution: ``` # ---------------------------iye ha aam zindegi--------------------------------------------- import math import random import heapq, bisect import sys from collections import deque, defaultdict from fractions import Fraction import sys import threading from collections import defaultdict threading.stack_size(10**8) mod = 10 ** 9 + 7 mod1 = 998244353 # ------------------------------warmup---------------------------- import os import sys from io import BytesIO, IOBase sys.setrecursionlimit(300000) BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # -------------------game starts now----------------------------------------------------import math class TreeNode: def __init__(self, k, v): self.key = k self.value = v self.left = None self.right = None self.parent = None self.height = 1 self.num_left = 1 self.num_total = 1 class AvlTree: def __init__(self): self._tree = None def add(self, k, v): if not self._tree: self._tree = TreeNode(k, v) return node = self._add(k, v) if node: self._rebalance(node) def _add(self, k, v): node = self._tree while node: if k < node.key: if node.left: node = node.left else: node.left = TreeNode(k, v) node.left.parent = node return node.left elif node.key < k: if node.right: node = node.right else: node.right = TreeNode(k, v) node.right.parent = node return node.right else: node.value = v return @staticmethod def get_height(x): return x.height if x else 0 @staticmethod def get_num_total(x): return x.num_total if x else 0 def _rebalance(self, node): n = node while n: lh = self.get_height(n.left) rh = self.get_height(n.right) n.height = max(lh, rh) + 1 balance_factor = lh - rh n.num_total = 1 + self.get_num_total(n.left) + self.get_num_total(n.right) n.num_left = 1 + self.get_num_total(n.left) if balance_factor > 1: if self.get_height(n.left.left) < self.get_height(n.left.right): self._rotate_left(n.left) self._rotate_right(n) elif balance_factor < -1: if self.get_height(n.right.right) < self.get_height(n.right.left): self._rotate_right(n.right) self._rotate_left(n) else: n = n.parent def _remove_one(self, node): """ Side effect!!! Changes node. Node should have exactly one child """ replacement = node.left or node.right if node.parent: if AvlTree._is_left(node): node.parent.left = replacement else: node.parent.right = replacement replacement.parent = node.parent node.parent = None else: self._tree = replacement replacement.parent = None node.left = None node.right = None node.parent = None self._rebalance(replacement) def _remove_leaf(self, node): if node.parent: if AvlTree._is_left(node): node.parent.left = None else: node.parent.right = None self._rebalance(node.parent) else: self._tree = None node.parent = None node.left = None node.right = None def remove(self, k): node = self._get_node(k) if not node: return if AvlTree._is_leaf(node): self._remove_leaf(node) return if node.left and node.right: nxt = AvlTree._get_next(node) node.key = nxt.key node.value = nxt.value if self._is_leaf(nxt): self._remove_leaf(nxt) else: self._remove_one(nxt) self._rebalance(node) else: self._remove_one(node) def get(self, k): node = self._get_node(k) return node.value if node else -1 def _get_node(self, k): if not self._tree: return None node = self._tree while node: if k < node.key: node = node.left elif node.key < k: node = node.right else: return node return None def get_at(self, pos): x = pos + 1 node = self._tree while node: if x < node.num_left: node = node.left elif node.num_left < x: x -= node.num_left node = node.right else: return (node.key, node.value) raise IndexError("Out of ranges") @staticmethod def _is_left(node): return node.parent.left and node.parent.left == node @staticmethod def _is_leaf(node): return node.left is None and node.right is None def _rotate_right(self, node): if not node.parent: self._tree = node.left node.left.parent = None elif AvlTree._is_left(node): node.parent.left = node.left node.left.parent = node.parent else: node.parent.right = node.left node.left.parent = node.parent bk = node.left.right node.left.right = node node.parent = node.left node.left = bk if bk: bk.parent = node node.height = max(self.get_height(node.left), self.get_height(node.right)) + 1 node.num_total = 1 + self.get_num_total(node.left) + self.get_num_total(node.right) node.num_left = 1 + self.get_num_total(node.left) def _rotate_left(self, node): if not node.parent: self._tree = node.right node.right.parent = None elif AvlTree._is_left(node): node.parent.left = node.right node.right.parent = node.parent else: node.parent.right = node.right node.right.parent = node.parent bk = node.right.left node.right.left = node node.parent = node.right node.right = bk if bk: bk.parent = node node.height = max(self.get_height(node.left), self.get_height(node.right)) + 1 node.num_total = 1 + self.get_num_total(node.left) + self.get_num_total(node.right) node.num_left = 1 + self.get_num_total(node.left) @staticmethod def _get_next(node): if not node.right: return node.parent n = node.right while n.left: n = n.left return n # -----------------------------------------------binary seacrh tree--------------------------------------- class SegmentTree1: def __init__(self, data, default=2**51, func=lambda a, b: a & b): """initialize the segment tree with data""" self._default = default self._func = func self._len = len(data) self._size = _size = 1 << (self._len - 1).bit_length() self.data = [default] * (2 * _size) self.data[_size:_size + self._len] = data for i in reversed(range(_size)): self.data[i] = func(self.data[i + i], self.data[i + i + 1]) def __delitem__(self, idx): self[idx] = self._default def __getitem__(self, idx): return self.data[idx + self._size] def __setitem__(self, idx, value): idx += self._size self.data[idx] = value idx >>= 1 while idx: self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1]) idx >>= 1 def __len__(self): return self._len def query(self, start, stop): if start == stop: return self.__getitem__(start) stop += 1 start += self._size stop += self._size res = self._default while start < stop: if start & 1: res = self._func(res, self.data[start]) start += 1 if stop & 1: stop -= 1 res = self._func(res, self.data[stop]) start >>= 1 stop >>= 1 return res def __repr__(self): return "SegmentTree({0})".format(self.data) # -------------------game starts now----------------------------------------------------import math class SegmentTree: def __init__(self, data, default=0, func=lambda a, b: a + b): """initialize the segment tree with data""" self._default = default self._func = func self._len = len(data) self._size = _size = 1 << (self._len - 1).bit_length() self.data = [default] * (2 * _size) self.data[_size:_size + self._len] = data for i in reversed(range(_size)): self.data[i] = func(self.data[i + i], self.data[i + i + 1]) def __delitem__(self, idx): self[idx] = self._default def __getitem__(self, idx): return self.data[idx + self._size] def __setitem__(self, idx, value): idx += self._size self.data[idx] = value idx >>= 1 while idx: self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1]) idx >>= 1 def __len__(self): return self._len def query(self, start, stop): if start == stop: return self.__getitem__(start) stop += 1 start += self._size stop += self._size res = self._default while start < stop: if start & 1: res = self._func(res, self.data[start]) start += 1 if stop & 1: stop -= 1 res = self._func(res, self.data[stop]) start >>= 1 stop >>= 1 return res def __repr__(self): return "SegmentTree({0})".format(self.data) # -------------------------------iye ha chutiya zindegi------------------------------------- class Factorial: def __init__(self, MOD): self.MOD = MOD self.factorials = [1, 1] self.invModulos = [0, 1] self.invFactorial_ = [1, 1] def calc(self, n): if n <= -1: print("Invalid argument to calculate n!") print("n must be non-negative value. But the argument was " + str(n)) exit() if n < len(self.factorials): return self.factorials[n] nextArr = [0] * (n + 1 - len(self.factorials)) initialI = len(self.factorials) prev = self.factorials[-1] m = self.MOD for i in range(initialI, n + 1): prev = nextArr[i - initialI] = prev * i % m self.factorials += nextArr return self.factorials[n] def inv(self, n): if n <= -1: print("Invalid argument to calculate n^(-1)") print("n must be non-negative value. But the argument was " + str(n)) exit() p = self.MOD pi = n % p if pi < len(self.invModulos): return self.invModulos[pi] nextArr = [0] * (n + 1 - len(self.invModulos)) initialI = len(self.invModulos) for i in range(initialI, min(p, n + 1)): next = -self.invModulos[p % i] * (p // i) % p self.invModulos.append(next) return self.invModulos[pi] def invFactorial(self, n): if n <= -1: print("Invalid argument to calculate (n^(-1))!") print("n must be non-negative value. But the argument was " + str(n)) exit() if n < len(self.invFactorial_): return self.invFactorial_[n] self.inv(n) # To make sure already calculated n^-1 nextArr = [0] * (n + 1 - len(self.invFactorial_)) initialI = len(self.invFactorial_) prev = self.invFactorial_[-1] p = self.MOD for i in range(initialI, n + 1): prev = nextArr[i - initialI] = (prev * self.invModulos[i % p]) % p self.invFactorial_ += nextArr return self.invFactorial_[n] class Combination: def __init__(self, MOD): self.MOD = MOD self.factorial = Factorial(MOD) def ncr(self, n, k): if k < 0 or n < k: return 0 k = min(k, n - k) f = self.factorial return f.calc(n) * f.invFactorial(max(n - k, k)) * f.invFactorial(min(k, n - k)) % self.MOD # --------------------------------------iye ha combinations ka zindegi--------------------------------- def powm(a, n, m): if a == 1 or n == 0: return 1 if n % 2 == 0: s = powm(a, n // 2, m) return s * s % m else: return a * powm(a, n - 1, m) % m # --------------------------------------iye ha power ka zindegi--------------------------------- def sort_list(list1, list2): zipped_pairs = zip(list2, list1) z = [x for _, x in sorted(zipped_pairs)] return z # --------------------------------------------------product---------------------------------------- def product(l): por = 1 for i in range(len(l)): por *= l[i] return por # --------------------------------------------------binary---------------------------------------- def binarySearchCount(arr, n, key): left = 0 right = n - 1 count = 0 while (left <= right): mid = int((right + left) / 2) # Check if middle element is # less than or equal to key if (arr[mid] <=key): count = mid + 1 left = mid + 1 # If key is smaller, ignore right half else: right = mid - 1 return count # --------------------------------------------------binary---------------------------------------- def countdig(n): c = 0 while (n > 0): n //= 10 c += 1 return c def binary(x, length): y = bin(x)[2:] return y if len(y) >= length else "0" * (length - len(y)) + y def countGreater(arr, n, k): l = 0 r = n - 1 # Stores the index of the left most element # from the array which is greater than k leftGreater = n # Finds number of elements greater than k while (l <= r): m = int(l + (r - l) / 2) if (arr[m] >= k): leftGreater = m r = m - 1 # If mid element is less than # or equal to k update l else: l = m + 1 # Return the count of elements # greater than k return (n - leftGreater) # --------------------------------------------------binary------------------------------------ n,m=map(int,input().split()) t=1 last=0 w=[n-1,m] an=0 ans=0 an1=0 ans1=0 for i in range(1,n+m): if t==1: if w[1-last]>0: w[1-last]-=1 an+=1 last=1-last else: w[last]-=1 ans+=1 else: if w[last]>0: w[last]-=1 ans+=1 else: w[1-last]-=1 an+=1 t=1-t w=[m-1,n] last=0 t=1 for i in range(1,n+m): if t==1: if w[1-last]>0: w[1-last]-=1 an1+=1 last=1-last else: w[last]-=1 ans1+=1 else: if w[last]>0: w[last]-=1 ans1+=1 else: w[1-last]-=1 an1+=1 t=1-t if ans>ans1: print(ans,an) elif ans<ans1: print(ans1,an1) else: if an>an1: print(ans,an) else: print(ans1,an1) ```
output
1
80,239
19
160,479
Provide tags and a correct Python 3 solution for this coding contest problem. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points.
instruction
0
80,240
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160,480
Tags: games, greedy, implementation Correct Solution: ``` n,m=map(int,input().split()) if min(n,m)==1: print (n+m-2,1) else: x=min(n,m) a=x//2+x//2-1 b=2*(x//2) x=x%2 y=max(n,m)-(2*(x//2)) a=a+1 y=y-1 if x==1: b=b+1 a=a+(n+m-1-a-b) print (a,b) ```
output
1
80,240
19
160,481
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points. Submitted Solution: ``` n, m = map(int, input().split()) ans, n1, m1 = [], n, m for j in ['r', 'b']: ch, p1, p2 = j, 0, 0 if ch == 'r': n -= 1 else: m -= 1 for i in range(1, n1 + m1): if i % 2: if ch == 'r': if m: ch = 'b' m -= 1 p2 += 1 else: n -= 1 p1 += 1 else: if n: ch = 'r' n -= 1 p2 += 1 else: m -= 1 p1 += 1 else: if ch == 'r': if n: n -= 1 p1 += 1 else: ch = 'b' m -= 1 p2 += 1 else: if m: m -= 1 p1 += 1 else: ch = 'r' n -= 1 p2 += 1 ans.append([p1, p2]) n, m = n1, m1 ans.sort(key=lambda x: x[0], reverse=True) print(*ans[0]) ```
instruction
0
80,241
19
160,482
Yes
output
1
80,241
19
160,483
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points. Submitted Solution: ``` def fun(r,b,col): P = 0 R = 0 lst = [col] chance = "R" if(col == "red"): d1,d2 = r-1,b else: d1,d2 = r,b-1 i = 0 while(d1>0 and d2>0): if(chance == "P"): if(lst[i] == "blue"): lst.append("blue") d2 -= 1 else: lst.append("red") d1 -= 1 P += 1 chance = "R" if(chance == "R"): if(lst[i] == "red"): lst.append("blue") d2 -= 1 else: lst.append("red") d1 -= 1 R += 1 chance = "P" i += 1 if(d1 > 0): if(lst[i] == "red"): P += 1 else: R += 1 P += d1 - 1 if(d2 > 0): if(lst[i] == "blue"): P += 1 else: R += 1 P += d2 - 1 return str(P) + " " + str(R) pass r,b = [int(i) for i in input().split()] P1,R1 = [int(i) for i in fun(r,b,"red").split()] P2,R2 = [int(i) for i in fun(r,b,"blue").split()] if(P1>P2): print(P1,R1) else: print(P2,R2) ```
instruction
0
80,242
19
160,484
Yes
output
1
80,242
19
160,485
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points. Submitted Solution: ``` n,m=map(int,input().split()) n,m=min(n,m),max(n,m) score1=0 score2=0 score3=0 score4=0 l1=[] l2=[] x=n//2 n-=x*2 m-=x*2 score2=x*2 score1=score2-1 if n%2==0: score1+=(m) else : score2+=1 score1+=m print(score1,score2) ```
instruction
0
80,243
19
160,486
Yes
output
1
80,243
19
160,487
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points. Submitted Solution: ``` n,m=map(int,input().split()) print(n+m-min(n,m)-1,min(n,m)) ```
instruction
0
80,244
19
160,488
Yes
output
1
80,244
19
160,489
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points. Submitted Solution: ``` a, b = map(int, input().split()) if a >= b: print(a + b - 1 - (b | 1), (b | 1)) else: print((a | 1), a + b - 1 - (a | 1)) ```
instruction
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points. Submitted Solution: ``` def pairs(s): petya = 0 vasya = 0 for i in range(len(s)-1): if s[i] == s[i+1]: petya += 1 else: vasya += 1 print(petya,vasya) def main(): n,m = map(int,input().split()) s = '' if n == min(n,m): s = 'r' n -= 1 else: s = 'b' m -= 1 while n > 0 and m > 0: if s[-1] == 'r': s += 'b' m -= 1 else: s += 'r' n -= 1 while n > 0: s += 'r' n -= 1 while m > 0: s += 'b' m -= 1 pairs(s) main() ```
instruction
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80,246
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points. Submitted Solution: ``` ar = [] for i in input().split(' '): ar.append(int(i)) red = ar[0] blue = ar[1] res = [] while(red!=0 or blue!=0): if red == 0: res.append(0) blue = blue - 1 elif blue == 0: res.append(1) red = red - 1 elif len(res) == 0: res.append(1) red = red - 1 elif res[-1] == 1: res.append(0) blue = blue - 1 else: res.append(1) red = red - 1 p = 0 v = 0 for i in range(1, len(res)): if res[i] == res[i-1]: p = p + 1 else: v = v + 1 print(v, p) ```
instruction
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of neighbouring cubes of the same color as possible. Vasya's task is to get as many pairs of neighbouring cubes of different colors as possible. The number of Petya's points in the game is the number of pairs of neighboring cubes of the same color in the line, the number of Vasya's points in the game is the number of neighbouring cubes of the different color in the line. Your task is to calculate the score at the end of the game (Petya's and Vasya's points, correspondingly), if both boys are playing optimally well. To "play optimally well" first of all means to maximize the number of one's points, and second — to minimize the number of the opponent's points. Input The only line contains two space-separated integers n and m (1 ≤ n, m ≤ 105) — the number of red and blue cubes, correspondingly. Output On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well. Examples Input 3 1 Output 2 1 Input 2 4 Output 3 2 Note In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cube during his first move, then, provided that both boys play optimally well, Petya would get 1 point and Vasya would get 2 points. Submitted Solution: ``` def main(): def score(l): (a, b) = (0, 0) for i in range(len(l) - 1): if l[i] == l[i + 1]: a += 1 else: b += 1 return "{} {}".format(a, b) # red, blue (n, m) = map(int, input().split(' ')) l = [] i = 0 if n > m: l.append('red') n -= 1 else: l.append('blue') m -= 1 while n > 0 and m > 0: moved = False if i == 0: if l[-1] == 'red' and n > 0: l.append('red') n -= 1 elif l[-1] == 'blue' and m > 0: l.append('blue') m -= 1 elif l[0] == 'red': l = ['red'] + l n -= 1 elif l[0] == 'blue': l = ['blue'] + l m -= 1 else: assert(False) # oops else: if l[-1] == 'red' and m > 0: l.append('blue') m -= 1 elif l[-1] == 'blue' and n > 0: l.append('red') n -= 1 elif l[0] == 'red': l = ['blue'] + l m -= 1 elif l[0] == 'blue': l = ['red'] + l n -= 1 else: assert(False) # oops i ^= 1 while n > 0: if (i == 0 and l[-1] == 'red') or (i == 1 and l[0] == 'blue'): l.append('red') elif i == 0 and l[0] == 'red' or (i == 1 and l[-1] == 'blue'): l = ['red'] + l n -= 1 i ^= 1 while m > 0: if (i == 0 and l[-1] == 'blue') or (i == 1 and l[-1] == 'red'): l.append('blue') elif (i == 0 and l[0] == 'blue') or (i == 1 and l[0] == 'red'): l = ['blue'] + l m -= 1 i ^= 1 return score(l) print(main()) ```
instruction
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As we know, DZY loves playing games. One day DZY decided to play with a n × m matrix. To be more precise, he decided to modify the matrix with exactly k operations. Each modification is one of the following: 1. Pick some row of the matrix and decrease each element of the row by p. This operation brings to DZY the value of pleasure equal to the sum of elements of the row before the decreasing. 2. Pick some column of the matrix and decrease each element of the column by p. This operation brings to DZY the value of pleasure equal to the sum of elements of the column before the decreasing. DZY wants to know: what is the largest total value of pleasure he could get after performing exactly k modifications? Please, help him to calculate this value. Input The first line contains four space-separated integers n, m, k and p (1 ≤ n, m ≤ 103; 1 ≤ k ≤ 106; 1 ≤ p ≤ 100). Then n lines follow. Each of them contains m integers representing aij (1 ≤ aij ≤ 103) — the elements of the current row of the matrix. Output Output a single integer — the maximum possible total pleasure value DZY could get. Examples Input 2 2 2 2 1 3 2 4 Output 11 Input 2 2 5 2 1 3 2 4 Output 11 Note For the first sample test, we can modify: column 2, row 2. After that the matrix becomes: 1 1 0 0 For the second sample test, we can modify: column 2, row 2, row 1, column 1, column 2. After that the matrix becomes: -3 -3 -2 -2 Submitted Solution: ``` import sys n, m, k, p = map(int, input().split()) d = [0, 0] a = [[0]*(n+1), [0]*(m+1)] f = [0]*(k+1) g = [0]*(k+1) for i in range(n): r = list(map(int, input().split())) for j in range(len(r)): a[0][i+1] += r[j] a[1][j+1] += r[j] def popup(l, x): while x>1 and l[x]>l[x>>1]: l[x], l[x>>1] = l[x>>1], l[x] x>>=1 for i in range(n,0,-1): popup(a[0], i) for i in range(m,0,-1): popup(a[1], i) def bigger(b, x, y, n): if y>=n: return True if b[x]>=b[y]: return True return False def get(b, n, m): res = b[1] b[1]=b[n] x = 1 while (x*2<n): if bigger(b,x,x*2,n) and bigger(b,x,x*2+1,n): break if bigger(b, x*2, x*2+1, n): b[x*2], b[x] = b[x], b[x*2] x*=2 else: b[x*2+1], b[x] = b[x], b[x*2+1] x=x*2+1 b[n]=res-m*p popup(b, n) return res ans = 0 for fuck in range(1, k+1): f[fuck] = f[fuck-1]+get(a[0],n,m) g[fuck] = g[fuck-1]+get(a[1],m,n) for fuck in range(k+1): ans=max(ans, f[fuck]-fuck*(k-fuck)*p+g[k-fuck]) print(ans) ```
instruction
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As we know, DZY loves playing games. One day DZY decided to play with a n × m matrix. To be more precise, he decided to modify the matrix with exactly k operations. Each modification is one of the following: 1. Pick some row of the matrix and decrease each element of the row by p. This operation brings to DZY the value of pleasure equal to the sum of elements of the row before the decreasing. 2. Pick some column of the matrix and decrease each element of the column by p. This operation brings to DZY the value of pleasure equal to the sum of elements of the column before the decreasing. DZY wants to know: what is the largest total value of pleasure he could get after performing exactly k modifications? Please, help him to calculate this value. Input The first line contains four space-separated integers n, m, k and p (1 ≤ n, m ≤ 103; 1 ≤ k ≤ 106; 1 ≤ p ≤ 100). Then n lines follow. Each of them contains m integers representing aij (1 ≤ aij ≤ 103) — the elements of the current row of the matrix. Output Output a single integer — the maximum possible total pleasure value DZY could get. Examples Input 2 2 2 2 1 3 2 4 Output 11 Input 2 2 5 2 1 3 2 4 Output 11 Note For the first sample test, we can modify: column 2, row 2. After that the matrix becomes: 1 1 0 0 For the second sample test, we can modify: column 2, row 2, row 1, column 1, column 2. After that the matrix becomes: -3 -3 -2 -2 Submitted Solution: ``` import sys n, m, k, p = map(int, input().split()) d = [0, 0] a = [[0]*(n+1), [0]*(m+1)] for i in range(n): r = list(map(int, input().split())) for j in range(len(r)): a[0][i+1] += r[j] a[1][j+1] += r[j] def popup(l, x): while x>1 and l[x]>l[x>>1]: l[x], l[x>>1] = l[x>>1], l[x] x>>=1 for i in range(n,0,-1): popup(a[0], i) for i in range(m,0,-1): popup(a[1], i) def smaller(b, x, y, n): if y>=n: return False if b[x]<b[y]: return True return False def get(b, n, m): res = b[1] b[1]=b[n] x = 1 while (x*2<n): if not smaller(b,x,x*2,n) and not smaller(b,x,x*2+1,n): break if x*2+1 >= n or b[x*2]<b[x*2+1]: b[x*2], b[x] = b[x], b[x*2] x*=2 else: b[x*2+1], b[x] = b[x], b[x*2+1] x=x*2+1 b[n]=res-m*p popup(b, n) return res ans = 0 for fuck in range(k): if a[0][1]-d[0]>a[1][1]-d[1]: ans+=get(a[0], n, m)-d[0] d[1]+=p else: ans+=get(a[1], m, n)-d[1] d[0]+=p print(ans) ```
instruction
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80,352
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As we know, DZY loves playing games. One day DZY decided to play with a n × m matrix. To be more precise, he decided to modify the matrix with exactly k operations. Each modification is one of the following: 1. Pick some row of the matrix and decrease each element of the row by p. This operation brings to DZY the value of pleasure equal to the sum of elements of the row before the decreasing. 2. Pick some column of the matrix and decrease each element of the column by p. This operation brings to DZY the value of pleasure equal to the sum of elements of the column before the decreasing. DZY wants to know: what is the largest total value of pleasure he could get after performing exactly k modifications? Please, help him to calculate this value. Input The first line contains four space-separated integers n, m, k and p (1 ≤ n, m ≤ 103; 1 ≤ k ≤ 106; 1 ≤ p ≤ 100). Then n lines follow. Each of them contains m integers representing aij (1 ≤ aij ≤ 103) — the elements of the current row of the matrix. Output Output a single integer — the maximum possible total pleasure value DZY could get. Examples Input 2 2 2 2 1 3 2 4 Output 11 Input 2 2 5 2 1 3 2 4 Output 11 Note For the first sample test, we can modify: column 2, row 2. After that the matrix becomes: 1 1 0 0 For the second sample test, we can modify: column 2, row 2, row 1, column 1, column 2. After that the matrix becomes: -3 -3 -2 -2 Submitted Solution: ``` # ---------------------------iye ha aam zindegi--------------------------------------------- import math import heapq, bisect import sys from collections import deque, defaultdict from fractions import Fraction import sys mod = 10 ** 9 + 7 mod1 = 998244353 sys.setrecursionlimit(300000) # ------------------------------warmup---------------------------- import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 sys.setrecursionlimit(300000) class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # -------------------game starts now----------------------------------------------------import math class TreeNode: def __init__(self, k, v): self.key = k self.value = v self.left = None self.right = None self.parent = None self.height = 1 self.num_left = 1 self.num_total = 1 class AvlTree: def __init__(self): self._tree = None def add(self, k, v): if not self._tree: self._tree = TreeNode(k, v) return node = self._add(k, v) if node: self._rebalance(node) def _add(self, k, v): node = self._tree while node: if k < node.key: if node.left: node = node.left else: node.left = TreeNode(k, v) node.left.parent = node return node.left elif node.key < k: if node.right: node = node.right else: node.right = TreeNode(k, v) node.right.parent = node return node.right else: node.value = v return @staticmethod def get_height(x): return x.height if x else 0 @staticmethod def get_num_total(x): return x.num_total if x else 0 def _rebalance(self, node): n = node while n: lh = self.get_height(n.left) rh = self.get_height(n.right) n.height = max(lh, rh) + 1 balance_factor = lh - rh n.num_total = 1 + self.get_num_total(n.left) + self.get_num_total(n.right) n.num_left = 1 + self.get_num_total(n.left) if balance_factor > 1: if self.get_height(n.left.left) < self.get_height(n.left.right): self._rotate_left(n.left) self._rotate_right(n) elif balance_factor < -1: if self.get_height(n.right.right) < self.get_height(n.right.left): self._rotate_right(n.right) self._rotate_left(n) else: n = n.parent def _remove_one(self, node): """ Side effect!!! Changes node. Node should have exactly one child """ replacement = node.left or node.right if node.parent: if AvlTree._is_left(node): node.parent.left = replacement else: node.parent.right = replacement replacement.parent = node.parent node.parent = None else: self._tree = replacement replacement.parent = None node.left = None node.right = None node.parent = None self._rebalance(replacement) def _remove_leaf(self, node): if node.parent: if AvlTree._is_left(node): node.parent.left = None else: node.parent.right = None self._rebalance(node.parent) else: self._tree = None node.parent = None node.left = None node.right = None def remove(self, k): node = self._get_node(k) if not node: return if AvlTree._is_leaf(node): self._remove_leaf(node) return if node.left and node.right: nxt = AvlTree._get_next(node) node.key = nxt.key node.value = nxt.value if self._is_leaf(nxt): self._remove_leaf(nxt) else: self._remove_one(nxt) self._rebalance(node) else: self._remove_one(node) def get(self, k): node = self._get_node(k) return node.value if node else -1 def _get_node(self, k): if not self._tree: return None node = self._tree while node: if k < node.key: node = node.left elif node.key < k: node = node.right else: return node return None def get_at(self, pos): x = pos + 1 node = self._tree while node: if x < node.num_left: node = node.left elif node.num_left < x: x -= node.num_left node = node.right else: return (node.key, node.value) raise IndexError("Out of ranges") @staticmethod def _is_left(node): return node.parent.left and node.parent.left == node @staticmethod def _is_leaf(node): return node.left is None and node.right is None def _rotate_right(self, node): if not node.parent: self._tree = node.left node.left.parent = None elif AvlTree._is_left(node): node.parent.left = node.left node.left.parent = node.parent else: node.parent.right = node.left node.left.parent = node.parent bk = node.left.right node.left.right = node node.parent = node.left node.left = bk if bk: bk.parent = node node.height = max(self.get_height(node.left), self.get_height(node.right)) + 1 node.num_total = 1 + self.get_num_total(node.left) + self.get_num_total(node.right) node.num_left = 1 + self.get_num_total(node.left) def _rotate_left(self, node): if not node.parent: self._tree = node.right node.right.parent = None elif AvlTree._is_left(node): node.parent.left = node.right node.right.parent = node.parent else: node.parent.right = node.right node.right.parent = node.parent bk = node.right.left node.right.left = node node.parent = node.right node.right = bk if bk: bk.parent = node node.height = max(self.get_height(node.left), self.get_height(node.right)) + 1 node.num_total = 1 + self.get_num_total(node.left) + self.get_num_total(node.right) node.num_left = 1 + self.get_num_total(node.left) @staticmethod def _get_next(node): if not node.right: return node.parent n = node.right while n.left: n = n.left return n # -----------------------------------------------binary seacrh tree--------------------------------------- class SegmentTree1: def __init__(self, data, default=0, func=lambda a, b: max(a, b)): """initialize the segment tree with data""" self._default = default self._func = func self._len = len(data) self._size = _size = 1 << (self._len - 1).bit_length() self.data = [default] * (2 * _size) self.data[_size:_size + self._len] = data for i in reversed(range(_size)): self.data[i] = func(self.data[i + i], self.data[i + i + 1]) def __delitem__(self, idx): self[idx] = self._default def __getitem__(self, idx): return self.data[idx + self._size] def __setitem__(self, idx, value): idx += self._size self.data[idx] = value idx >>= 1 while idx: self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1]) idx >>= 1 def __len__(self): return self._len def query(self, start, stop): if start == stop: return self.__getitem__(start) stop += 1 start += self._size stop += self._size res = self._default while start < stop: if start & 1: res = self._func(res, self.data[start]) start += 1 if stop & 1: stop -= 1 res = self._func(res, self.data[stop]) start >>= 1 stop >>= 1 return res def __repr__(self): return "SegmentTree({0})".format(self.data) # -------------------game starts now----------------------------------------------------import math class SegmentTree: def __init__(self, data, default=0, func=lambda a, b: a + b): """initialize the segment tree with data""" self._default = default self._func = func self._len = len(data) self._size = _size = 1 << (self._len - 1).bit_length() self.data = [default] * (2 * _size) self.data[_size:_size + self._len] = data for i in reversed(range(_size)): self.data[i] = func(self.data[i + i], self.data[i + i + 1]) def __delitem__(self, idx): self[idx] = self._default def __getitem__(self, idx): return self.data[idx + self._size] def __setitem__(self, idx, value): idx += self._size self.data[idx] = value idx >>= 1 while idx: self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1]) idx >>= 1 def __len__(self): return self._len def query(self, start, stop): if start == stop: return self.__getitem__(start) stop += 1 start += self._size stop += self._size res = self._default while start < stop: if start & 1: res = self._func(res, self.data[start]) start += 1 if stop & 1: stop -= 1 res = self._func(res, self.data[stop]) start >>= 1 stop >>= 1 return res def __repr__(self): return "SegmentTree({0})".format(self.data) # -------------------------------iye ha chutiya zindegi------------------------------------- class Factorial: def __init__(self, MOD): self.MOD = MOD self.factorials = [1, 1] self.invModulos = [0, 1] self.invFactorial_ = [1, 1] def calc(self, n): if n <= -1: print("Invalid argument to calculate n!") print("n must be non-negative value. But the argument was " + str(n)) exit() if n < len(self.factorials): return self.factorials[n] nextArr = [0] * (n + 1 - len(self.factorials)) initialI = len(self.factorials) prev = self.factorials[-1] m = self.MOD for i in range(initialI, n + 1): prev = nextArr[i - initialI] = prev * i % m self.factorials += nextArr return self.factorials[n] def inv(self, n): if n <= -1: print("Invalid argument to calculate n^(-1)") print("n must be non-negative value. But the argument was " + str(n)) exit() p = self.MOD pi = n % p if pi < len(self.invModulos): return self.invModulos[pi] nextArr = [0] * (n + 1 - len(self.invModulos)) initialI = len(self.invModulos) for i in range(initialI, min(p, n + 1)): next = -self.invModulos[p % i] * (p // i) % p self.invModulos.append(next) return self.invModulos[pi] def invFactorial(self, n): if n <= -1: print("Invalid argument to calculate (n^(-1))!") print("n must be non-negative value. But the argument was " + str(n)) exit() if n < len(self.invFactorial_): return self.invFactorial_[n] self.inv(n) # To make sure already calculated n^-1 nextArr = [0] * (n + 1 - len(self.invFactorial_)) initialI = len(self.invFactorial_) prev = self.invFactorial_[-1] p = self.MOD for i in range(initialI, n + 1): prev = nextArr[i - initialI] = (prev * self.invModulos[i % p]) % p self.invFactorial_ += nextArr return self.invFactorial_[n] class Combination: def __init__(self, MOD): self.MOD = MOD self.factorial = Factorial(MOD) def ncr(self, n, k): if k < 0 or n < k: return 0 k = min(k, n - k) f = self.factorial return f.calc(n) * f.invFactorial(max(n - k, k)) * f.invFactorial(min(k, n - k)) % self.MOD # --------------------------------------iye ha combinations ka zindegi--------------------------------- def powm(a, n, m): if a == 1 or n == 0: return 1 if n % 2 == 0: s = powm(a, n // 2, m) return s * s % m else: return a * powm(a, n - 1, m) % m # --------------------------------------iye ha power ka zindegi--------------------------------- def sort_list(list1, list2): zipped_pairs = zip(list2, list1) z = [x for _, x in sorted(zipped_pairs)] return z # --------------------------------------------------product---------------------------------------- def product(l): por = 1 for i in range(len(l)): por *= l[i] return por # --------------------------------------------------binary---------------------------------------- def binarySearchCount(arr, n, key): left = 0 right = n - 1 count = 0 while (left <= right): mid = int((right + left) / 2) # Check if middle element is # less than or equal to key if (arr[mid] < key): count = mid + 1 left = mid + 1 # If key is smaller, ignore right half else: right = mid - 1 return count # --------------------------------------------------binary---------------------------------------- def countdig(n): c = 0 while (n > 0): n //= 10 c += 1 return c def binary(x, length): y = bin(x)[2:] return y if len(y) >= length else "0" * (length - len(y)) + y def countGreater(arr, n, k): l = 0 r = n - 1 # Stores the index of the left most element # from the array which is greater than k leftGreater = n # Finds number of elements greater than k while (l <= r): m = int(l + (r - l) / 2) if (arr[m] >= k): leftGreater = m r = m - 1 # If mid element is less than # or equal to k update l else: l = m + 1 # Return the count of elements # greater than k return (n - leftGreater) # --------------------------------------------------binary------------------------------------ n,m,k,p=map(int,input().split()) l=[] ros=[] cos=[] for i in range(n): l.append(list(map(int,input().split()))) for i in range(n): row=0 for j in range(m): row+=l[i][j] ros.append(-row) for i in range(m): col=0 for j in range(n): col+=l[j][i] cos.append(-col) heapq.heapify(cos) heapq.heapify(ros) ans=0 rs=0 cs=0 while(k>0): k-=1 e=-heapq.heappop(cos)-cs e1=-heapq.heappop(ros)-rs ans+=max(e,e1) if e1>=e: heapq.heappush(cos,-e-cs) cs+=p heapq.heappush(ros,-e1+m*p-rs) else: heapq.heappush(ros, -e1 - rs) rs += p heapq.heappush(cos, -e +n*p-cs) print(ans) ```
instruction
0
80,353
19
160,706
No
output
1
80,353
19
160,707
Provide a correct Python 3 solution for this coding contest problem. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6
instruction
0
80,743
19
161,486
"Correct Solution: ``` for e in iter(input,'0 0'): N,M=map(int,e.split()) k,p=1,0 S=[int(input()) for _ in[0]*N] for d in[int(input())for _ in[0]*M]: p+=d if N<=p+d else d+S[p+d] if N<=p+1:break k+=1 print(k) ```
output
1
80,743
19
161,487
Provide a correct Python 3 solution for this coding contest problem. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6
instruction
0
80,744
19
161,488
"Correct Solution: ``` # -*- coding: utf-8 -*- """ http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0544 """ import sys from sys import stdin input = stdin.readline def move(pos, result): pos = pos + result try: if squares[pos] != 0: pos += squares[pos] return pos except: return float('inf') squares = [] def main(args): global squares while True: N, M = map(int, input().split()) if N == 0 and M == 0: break squares = [int(input()) for _ in range(N)] dice = [int(input()) for _ in range(M)] turn = 0 pos = 0 for d in dice: turn += 1 pos = move(pos, d) if pos >= (N - 1): break print(turn) if __name__ == '__main__': main(sys.argv[1:]) ```
output
1
80,744
19
161,489
Provide a correct Python 3 solution for this coding contest problem. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6
instruction
0
80,745
19
161,490
"Correct Solution: ``` while 1: n, m = map(int, input().split()) if n == 0: break masu = [] for _ in range(n): x = int(input()) masu.append(x) dice = [] for _ in range(m): x = int(input()) dice.append(x) p = 0 for i, d in enumerate(dice): p += d if p >= n: break p += masu[p] if p >= n: break print(i+1) ```
output
1
80,745
19
161,491
Provide a correct Python 3 solution for this coding contest problem. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6
instruction
0
80,746
19
161,492
"Correct Solution: ``` while True: n, m = map(int, input().split()) if not n: break stops = [int(input()) for _ in range(n)] + [0] * 5 dices = [int(input()) for _ in range(m)] i, p = 1, 0 g = n - 1 for d in dices: p += d + stops[p + d] if p >= g: break i += 1 print(i) ```
output
1
80,746
19
161,493
Provide a correct Python 3 solution for this coding contest problem. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6
instruction
0
80,747
19
161,494
"Correct Solution: ``` for e in iter(input,'0 0'): N,M=map(int,e.split()) S=[int(input())for _ in[0]*N] p=b=1 for i in range(M): d=int(input()) p+=d if N<=p: if b:print(-~i);b=0 continue p+=S[~-p] if(N<=p)*b:print(-~i);b=0 ```
output
1
80,747
19
161,495
Provide a correct Python 3 solution for this coding contest problem. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6
instruction
0
80,748
19
161,496
"Correct Solution: ``` def solve(): while True: n, m = map(int, input().split()) if not n: break smap = [int(input()) for _ in range(n)] ind = 0 cnt = 0 flag = True for _ in range(m): ind += int(input()) if flag: cnt += 1 if ind >= n - 1: print(cnt) flag = False else: ind += smap[ind] if ind >= n: print(cnt) flag = False solve() ```
output
1
80,748
19
161,497
Provide a correct Python 3 solution for this coding contest problem. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6
instruction
0
80,749
19
161,498
"Correct Solution: ``` while True: N, M = map(int, input().split()) if N==0 and M==0: break n = [int(input()) for _ in range(N)] m = [int(input()) for _ in range(M)] j = 0 #現在のマス目 for i in range(M): j += m[i] if j>=N: break j += n[j] if j>=N: break print(i+1) ```
output
1
80,749
19
161,499
Provide a correct Python 3 solution for this coding contest problem. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6
instruction
0
80,750
19
161,500
"Correct Solution: ``` def main(): while True: N, M = map(int, input().split()) if not N: return order = [int(input()) for _ in range(N)] draw = [int(input()) for _ in range(M)] p = 0 ans = 0 for i in range(M): p += draw[i] if p >= N - 1: ans = i + 1 break p += order[p] if p >= N - 1: ans = i + 1 break print(ans) if __name__ == '__main__': main() ```
output
1
80,750
19
161,501
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6 Submitted Solution: ``` while True: n,m = map(int,input().split()) if n==0: break mapp = [] for _ in range(n): mapp.append(int(input())) mas = 0 ans = 0 for dice in range(m): mas += int(input()) if mas >= n-1 and ans == 0: ans = dice+1 if mas < n-1 : mas += mapp[mas] if mas >= n-1 and ans == 0: ans = dice+1 print(ans) ```
instruction
0
80,751
19
161,502
Yes
output
1
80,751
19
161,503
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6 Submitted Solution: ``` import sys def line():return sys.stdin.readline().strip() def cin():return sys.stdin.readline().strip().split() while True: N,M = [int(i) for i in cin()] if N == 0:break X = [int(line()) for _ in range(N)] Y = [int(line()) for _ in range(M)] c = 1 for i in range(M): c+=int(Y[i]) if c < N and X[c - 1] != 0: c+=X[c - 1] if c >= N: print(i + 1) break ```
instruction
0
80,752
19
161,504
Yes
output
1
80,752
19
161,505
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6 Submitted Solution: ``` while True: n, m = map(int, input().split()) if n == m == 0: break a = [] b = [] for i in range(n): a.append(int(input())) masu = 1 cnt = 0 for i in range(m): b.append(int(input())) for i in range(m): cnt += 1 masu += b[i] if masu >= n: print(cnt) break masu += a[masu-1] if masu >= n: print(cnt) break ```
instruction
0
80,753
19
161,506
Yes
output
1
80,753
19
161,507
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6 Submitted Solution: ``` while True: n,m = map(int,input().split()) if n == m == 0: break N = [int(input()) for i in range(n)] M = [int(input()) for i in range(m)] x = 1 for i in range(m): x += M[i] if n <= x: print(i+1) break else: x += N[x-1] if n <= x: print(i+1) break ```
instruction
0
80,754
19
161,508
Yes
output
1
80,754
19
161,509
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6 Submitted Solution: ``` field=[] x=0 y=0 i=0 n,m=map(int,input().split(" ")) for i in range(0,n): field.append(int(input())) for i in range(0,m): y=int(input()) if((n-1)<=x+y): break x+=field[x+y]+y y=i+1 for n in range(i+1,m): x=input() print(y) ```
instruction
0
80,755
19
161,510
No
output
1
80,755
19
161,511
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sugoroku problem JOI is playing sugoroku alone. There are N squares in a straight line in this sugoroku, and each has a movement instruction written on it. The starting point is the 1st square and the goal is the Nth square. JOI repeats the following until he reaches the goal. Roll the dice and proceed from the current square by the number of rolls, and follow the instructions of that square. Do not follow the instructions of the square to which you moved according to the instructions. The goal is not only when you stop at the Nth square, but also when the destination exceeds the Nth square. Create a program that outputs how many times you roll the dice to reach the goal when you are given a sugoroku board and M dice rolls. input The input consists of multiple datasets. Each dataset is given in the following format. Each dataset consists of 1 + N + M rows. Two integers N, M (2 ≤ N ≤ 1000, 1 ≤ M ≤ 1000) are written on the first line of the input, separated by blanks. N represents the number of sugoroku squares, and M represents the number of dice given. In the following N lines, integers between -999 and 999 are written one by one. The integer on the 1 + i line (1 ≤ i ≤ N) represents the indication of the sugoroku i-th cell. Let X be the written integer. When X = 0, it indicates "do nothing", when X> 0, it indicates "advance X mass", and when X <0, it indicates "| X | mass return". However, | X | represents the absolute value of X. In the following M line, integers from 1 to 6 are written one by one, and the number on the 1 + N + j line (1 ≤ j ≤ M) represents the dice roll that appears on the jth time. However, the number of lines 2 and 1 + N is always 0. There is no cell with instructions to move to the cell before the first cell. In addition, the number of times the dice are rolled is M or less in any scoring input data. When both N and M are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, an integer indicating how many times the dice are rolled to reach the goal is output on one line. Input / output example Input example 10 5 0 0 Five 6 -3 8 1 8 -Four 0 1 3 Five 1 Five 10 10 0 -1 -1 Four Four -Five 0 1 -6 0 1 Five 2 Four 6 Five Five Four 1 6 0 0 Output example Five 6 The following figure shows the first input example. <image> The following figure shows the second input example. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. Example Input 10 5 0 0 5 6 -3 8 1 8 -4 0 1 3 5 1 5 10 10 0 -1 -1 4 4 -5 0 1 -6 0 1 5 2 4 6 5 5 4 1 6 0 0 Output 5 6 Submitted Solution: ``` while True: N, M = map(int, input().split()) if N == 0: break maps = [int(input()) for _ in range(N)] mas = 0 ans = 0 for dice in range(M): mas += int(input()) if mas >= n - 1 and ans == 0: ans = dice + 1 if mas < n - 1: mas += maps[ans] if mas >= n - 1 and ans == 0: ans = dice + 1 print(ans) ```
instruction
0
80,756
19
161,512
No
output
1
80,756
19
161,513