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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares in a row. The leftmost square contains the integer A, and the rightmost contains the integer B. The other squares are empty. Aohashi would like to fill the empty squares with integers so that the following condition is satisfied: * For any two adjacent squares, the (absolute) difference of the two integers in those squares is between C and D (inclusive). As long as the condition is satisfied, it is allowed to use arbitrarily large or small integers to fill the squares. Determine whether it is possible to fill the squares under the condition. Constraints * 3 \leq N \leq 500000 * 0 \leq A \leq 10^9 * 0 \leq B \leq 10^9 * 0 \leq C \leq D \leq 10^9 * All input values are integers. Input Input is given from Standard Input in the following format: N A B C D Output Print `YES` if it is possible to fill the squares under the condition; print `NO` otherwise. Examples Input 5 1 5 2 4 Output YES Input 4 7 6 4 5 Output NO Input 48792 105960835 681218449 90629745 90632170 Output NO Input 491995 412925347 825318103 59999126 59999339 Output YES Submitted Solution: ``` N,a,b,c,d=map(int, input().split()) N-=1 a,b=0,abs(b-a) #δΈŠδΈ‹γ‚’nε›žγ¨γ™γ‚‹γ¨γ€0<=n<=N//2 if d*N<b: print('NO') exit() for i in range(N//2+1): e=b-(N-i*2)*d f=b-(N-i*2)*c if e<=(d-c)*i and (c-d)*i<=f: print('YES') exit() print('NO') ```
instruction
0
59,538
5
119,076
Yes
output
1
59,538
5
119,077
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares in a row. The leftmost square contains the integer A, and the rightmost contains the integer B. The other squares are empty. Aohashi would like to fill the empty squares with integers so that the following condition is satisfied: * For any two adjacent squares, the (absolute) difference of the two integers in those squares is between C and D (inclusive). As long as the condition is satisfied, it is allowed to use arbitrarily large or small integers to fill the squares. Determine whether it is possible to fill the squares under the condition. Constraints * 3 \leq N \leq 500000 * 0 \leq A \leq 10^9 * 0 \leq B \leq 10^9 * 0 \leq C \leq D \leq 10^9 * All input values are integers. Input Input is given from Standard Input in the following format: N A B C D Output Print `YES` if it is possible to fill the squares under the condition; print `NO` otherwise. Examples Input 5 1 5 2 4 Output YES Input 4 7 6 4 5 Output NO Input 48792 105960835 681218449 90629745 90632170 Output NO Input 491995 412925347 825318103 59999126 59999339 Output YES Submitted Solution: ``` def inpl(): return [int(i) for i in input().split()] N, A, B, C, D = inpl() for k in range(N+1): j = N-1-k if D*k - C*j >= B-A >= C*k - D*j: print('YES') break else: print('NO') ```
instruction
0
59,539
5
119,078
Yes
output
1
59,539
5
119,079
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares in a row. The leftmost square contains the integer A, and the rightmost contains the integer B. The other squares are empty. Aohashi would like to fill the empty squares with integers so that the following condition is satisfied: * For any two adjacent squares, the (absolute) difference of the two integers in those squares is between C and D (inclusive). As long as the condition is satisfied, it is allowed to use arbitrarily large or small integers to fill the squares. Determine whether it is possible to fill the squares under the condition. Constraints * 3 \leq N \leq 500000 * 0 \leq A \leq 10^9 * 0 \leq B \leq 10^9 * 0 \leq C \leq D \leq 10^9 * All input values are integers. Input Input is given from Standard Input in the following format: N A B C D Output Print `YES` if it is possible to fill the squares under the condition; print `NO` otherwise. Examples Input 5 1 5 2 4 Output YES Input 4 7 6 4 5 Output NO Input 48792 105960835 681218449 90629745 90632170 Output NO Input 491995 412925347 825318103 59999126 59999339 Output YES Submitted Solution: ``` N, A, B, C, D = map(int, input().split()) L = A + N * C + D R = A + N * D + C for i in range(N): L -= C + D R -= C + D if L <= B <= R: print('YES') break else: print('NO') ```
instruction
0
59,540
5
119,080
Yes
output
1
59,540
5
119,081
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares in a row. The leftmost square contains the integer A, and the rightmost contains the integer B. The other squares are empty. Aohashi would like to fill the empty squares with integers so that the following condition is satisfied: * For any two adjacent squares, the (absolute) difference of the two integers in those squares is between C and D (inclusive). As long as the condition is satisfied, it is allowed to use arbitrarily large or small integers to fill the squares. Determine whether it is possible to fill the squares under the condition. Constraints * 3 \leq N \leq 500000 * 0 \leq A \leq 10^9 * 0 \leq B \leq 10^9 * 0 \leq C \leq D \leq 10^9 * All input values are integers. Input Input is given from Standard Input in the following format: N A B C D Output Print `YES` if it is possible to fill the squares under the condition; print `NO` otherwise. Examples Input 5 1 5 2 4 Output YES Input 4 7 6 4 5 Output NO Input 48792 105960835 681218449 90629745 90632170 Output NO Input 491995 412925347 825318103 59999126 59999339 Output YES Submitted Solution: ``` # Model Difference N,A,B,C,D = list(map(int, input().split())) ans = "NO" for i in range(N-1): if ( (i*C<=abs(A-B)<=i*D) and (N-1-i)%2==0 ): ans="YES" print(ans) ```
instruction
0
59,541
5
119,082
No
output
1
59,541
5
119,083
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares in a row. The leftmost square contains the integer A, and the rightmost contains the integer B. The other squares are empty. Aohashi would like to fill the empty squares with integers so that the following condition is satisfied: * For any two adjacent squares, the (absolute) difference of the two integers in those squares is between C and D (inclusive). As long as the condition is satisfied, it is allowed to use arbitrarily large or small integers to fill the squares. Determine whether it is possible to fill the squares under the condition. Constraints * 3 \leq N \leq 500000 * 0 \leq A \leq 10^9 * 0 \leq B \leq 10^9 * 0 \leq C \leq D \leq 10^9 * All input values are integers. Input Input is given from Standard Input in the following format: N A B C D Output Print `YES` if it is possible to fill the squares under the condition; print `NO` otherwise. Examples Input 5 1 5 2 4 Output YES Input 4 7 6 4 5 Output NO Input 48792 105960835 681218449 90629745 90632170 Output NO Input 491995 412925347 825318103 59999126 59999339 Output YES Submitted Solution: ``` import sys input = sys.stdin.readline N, A, B, C, D = map(int, input().split()) dp = [0] * N dp[0] = A dp[-1] = B x = -1 def no(): print("NO") exit(0) if B < A: A, B = B, A for i in range(N - 2): if dp[i] < B: dp[i + 1] = dp[i] + D else: #print(dp[i], (i - 1) * (D - C), B) f = abs(dp[i] - (i - 1) * (D - C)) if f <= B: x = i dp[i] = B else: if D - C == 0: no() x = i + -(-abs(B - f) // (D - C)) * 2 if x >= N: no() dp[x] = B break if x == -1: if C <= abs(B - dp[-2]) <= D: x = N - 1 else: no() #print(x, dp[x]) t = (N - 1 - x) #print(t) if t % 2: if t == 1: no() if D - C == 0: no() if -(-C // (D - C)) > t: no() print("YES") ```
instruction
0
59,542
5
119,084
No
output
1
59,542
5
119,085
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares in a row. The leftmost square contains the integer A, and the rightmost contains the integer B. The other squares are empty. Aohashi would like to fill the empty squares with integers so that the following condition is satisfied: * For any two adjacent squares, the (absolute) difference of the two integers in those squares is between C and D (inclusive). As long as the condition is satisfied, it is allowed to use arbitrarily large or small integers to fill the squares. Determine whether it is possible to fill the squares under the condition. Constraints * 3 \leq N \leq 500000 * 0 \leq A \leq 10^9 * 0 \leq B \leq 10^9 * 0 \leq C \leq D \leq 10^9 * All input values are integers. Input Input is given from Standard Input in the following format: N A B C D Output Print `YES` if it is possible to fill the squares under the condition; print `NO` otherwise. Examples Input 5 1 5 2 4 Output YES Input 4 7 6 4 5 Output NO Input 48792 105960835 681218449 90629745 90632170 Output NO Input 491995 412925347 825318103 59999126 59999339 Output YES Submitted Solution: ``` def main(): n, a, b, c, d = map(int, input().split()) last = abs(a-b) if (n-1)*d < last: print("NO") else: f = False for i in range(n): p = d*i q = (n-1 - i)//2 * (d-c) if (n-1 - i) % 2 == 1: if q < c: if p + c - q <= last <= p + d + q: f = True if p - d - q <= last <= p - c + q: f = True else: if p - d - q <= last <= p + d + q: f = True else: if p - q <= last <= p + q: f = True if f: print("YES") else: print("NO") if __name__ == "__main__": main() ```
instruction
0
59,543
5
119,086
No
output
1
59,543
5
119,087
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares in a row. The leftmost square contains the integer A, and the rightmost contains the integer B. The other squares are empty. Aohashi would like to fill the empty squares with integers so that the following condition is satisfied: * For any two adjacent squares, the (absolute) difference of the two integers in those squares is between C and D (inclusive). As long as the condition is satisfied, it is allowed to use arbitrarily large or small integers to fill the squares. Determine whether it is possible to fill the squares under the condition. Constraints * 3 \leq N \leq 500000 * 0 \leq A \leq 10^9 * 0 \leq B \leq 10^9 * 0 \leq C \leq D \leq 10^9 * All input values are integers. Input Input is given from Standard Input in the following format: N A B C D Output Print `YES` if it is possible to fill the squares under the condition; print `NO` otherwise. Examples Input 5 1 5 2 4 Output YES Input 4 7 6 4 5 Output NO Input 48792 105960835 681218449 90629745 90632170 Output NO Input 491995 412925347 825318103 59999126 59999339 Output YES Submitted Solution: ``` N,A,B,C,D=map(int,input().split()) #print("target:", abs(A-B)) #print("range: ", D-C) #print("target is larger than D: " , # abs(A-B)>D) #target=abs(A-B) #print("next target is: ", target-D) #print("how many? : ", (target-D)//(D-C)) ans=False def g(a,b,c,d,n): if (n-1)%2==0: target=abs(a-b) #γ‚Ήγ‚ΏγƒΌγƒˆγ―0 gain=d-c if ((n-1)//2)*gain>=target: return True else: return False else: target=abs(a-b) gain=d-c if target>d: if (n-2)//2 * gain >=target-d: return True else: return False elif target<c: if (n-2)//2 *gain >= c- target: return True else: return False elif c<=target<=d: return True A,B=min(A,B),max(A,B) target=B-A pos=0 for i in range(N+1): if target>0: if (target//C )- 1<=N-i and C<=target%C+D<=D: print("YES") exit(0) if g(pos, target, C,D, N-i): print("YES") exit(0) if target >D: target-=D elif C <=target<=D: print("YES") exit(0) else: target=C-target print("NO") exit(0) if g(A,B,C,D,N): print("YES") else: print("NO") ```
instruction
0
59,544
5
119,088
No
output
1
59,544
5
119,089
Provide a correct Python 3 solution for this coding contest problem. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22
instruction
0
59,545
5
119,090
"Correct Solution: ``` n=int(input()) a=[0]*n b=[0]*n for i in range(n): a[i],b[i]=map(int,input().split()) ans=0 for i in range(n)[::-1]: a[i]+=ans if not a[i]%b[i]==0: ans+=b[i]-a[i]%b[i] print(ans) ```
output
1
59,545
5
119,091
Provide a correct Python 3 solution for this coding contest problem. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22
instruction
0
59,546
5
119,092
"Correct Solution: ``` N = int(input()) AB = reversed([[int(j) for j in input().split()] for i in range(N)]) ans = 0 for a, b in AB: a += ans k = a % b if k != 0: ans += b - k print(ans) ```
output
1
59,546
5
119,093
Provide a correct Python 3 solution for this coding contest problem. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22
instruction
0
59,547
5
119,094
"Correct Solution: ``` N = int(input()) ABs = [list(map(int, input().split())) for _ in range(N)] rlt = 0 for ab in ABs[::-1]: ext = (ab[0]+rlt) % ab[1] if ext != 0: rlt += (ab[1] - ext) print(rlt) ```
output
1
59,547
5
119,095
Provide a correct Python 3 solution for this coding contest problem. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22
instruction
0
59,548
5
119,096
"Correct Solution: ``` ans = 0 for A, B in [map(int, input().split()) for _ in range(int(input()))][::-1]: ans += (B - A - ans) % B print(ans) ```
output
1
59,548
5
119,097
Provide a correct Python 3 solution for this coding contest problem. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22
instruction
0
59,549
5
119,098
"Correct Solution: ``` n = int(input()) x = [[int(i) for i in input().split()] for i in range(n)] answer = 0 for i in range(n-1,-1,-1): if (x[i][0]+answer)%x[i][1]!=0: answer+=x[i][1]-((x[i][0]+answer)%x[i][1]) print(answer) ```
output
1
59,549
5
119,099
Provide a correct Python 3 solution for this coding contest problem. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22
instruction
0
59,550
5
119,100
"Correct Solution: ``` from math import ceil n = int(input()) ab = reversed([list(map(int, input().split())) for _ in range(n)]) count = 0 for a, b in ab: a += count tb = ceil(a / b) * b count += tb - a print(count) ```
output
1
59,550
5
119,101
Provide a correct Python 3 solution for this coding contest problem. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22
instruction
0
59,551
5
119,102
"Correct Solution: ``` n=int(input()) A,B=[],[] for i in range(n): a,b=map(int,input().split()) A.append(a) B.append(b) ans=0 for i in range(n): a,b=A[-(i+1)],B[-(i+1)] ans+=((a+ans-1)//b+1)*b-(a+ans) print(ans) ```
output
1
59,551
5
119,103
Provide a correct Python 3 solution for this coding contest problem. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22
instruction
0
59,552
5
119,104
"Correct Solution: ``` n = int(input()) a, b = [0] * n, [0] * n for i in range(n): a[i], b[i] = map(int, input().split()) ans = 0 for i in range(n - 1, -1, -1): ans += (b[i] - (a[i] + ans) % b[i]) % b[i] print(ans) ```
output
1
59,552
5
119,105
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22 Submitted Solution: ``` n = int(input()) AB = [list(map(int, input().split())) for _ in range(n)] num = 0 for i in range(n): a, b = AB[n - i - 1] if (num + a) % b != 0: num += b - (num + a) % b print(num) ```
instruction
0
59,553
5
119,106
Yes
output
1
59,553
5
119,107
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22 Submitted Solution: ``` N=int(input()) L=[list(map(int,input().split(' '))) for i in range(N)] ans = 0 for a,b in L[::-1]: a+=ans ans += (b-a)%b print(ans) ```
instruction
0
59,554
5
119,108
Yes
output
1
59,554
5
119,109
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22 Submitted Solution: ``` n=int(input()) s=[list(map(int,input().split()))for i in range(n)] c=0 for i in range(n-1,-1,-1): p=(s[i][0]+c)%s[i][1] if p!=0: c+=s[i][1]-p print(c) ```
instruction
0
59,555
5
119,110
Yes
output
1
59,555
5
119,111
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22 Submitted Solution: ``` n=int(input()) ab=[] for i in range(n): tmp=list(map(int,input().split())) ab.append(tmp) tmp=0 for a,b in ab[::-1]: a+=tmp if a%b!=0: tmp+=(b-a%b) print(tmp) ```
instruction
0
59,556
5
119,112
Yes
output
1
59,556
5
119,113
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22 Submitted Solution: ``` n = int(input()) a_input = [0]*n b_input = [0]*n for i in range(n): a_input[i],b_input[i]=map(int,input().split()) ans=0 for i in range(n-1,-1,-1): if a_input[i]%b_input[i]==0: continue tmp = b_input[i]-a_input[i]%b_input[i] ans += tmp for j in range(i+1): a_input[j]+=tmp print(ans) ```
instruction
0
59,557
5
119,114
No
output
1
59,557
5
119,115
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22 Submitted Solution: ``` import numpy as np count = 0 N = int(input()) a = [] b = [] for num in range(N): x = input().split() a.append(int(x[0])) b.append(int(x[1])) a = np.array(a) b = np.array(b) for i in range(len(a)-1, -1, -1): while a[i] % b[i] != 0: a[:i+1] += 1 count += 1 print(count) ```
instruction
0
59,558
5
119,116
No
output
1
59,558
5
119,117
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22 Submitted Solution: ``` n = int(input()) ab = [map(int, input().split()) for _ in range(n)] a, b = [list(i) for i in zip(*ab)] a.reverse() b.reverse() ans = 0 num = 0 ruisekiwa = 0 for j in range(n): a[j] += ruisekiwa syou = a[j]//b[j] if a[j] == 0: num = 0 elif b[j] == 1: num = 0 elif a[j] == b[j]: num = 0 else: num = b[j]*(syou+1) - a[j] ruisekiwa += num ans += num print(ans) ```
instruction
0
59,559
5
119,118
No
output
1
59,559
5
119,119
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are an integer sequence A_1,...,A_N consisting of N terms, and N buttons. When the i-th (1 ≦ i ≦ N) button is pressed, the values of the i terms from the first through the i-th are all incremented by 1. There is also another integer sequence B_1,...,B_N. Takahashi will push the buttons some number of times so that for every i, A_i will be a multiple of B_i. Find the minimum number of times Takahashi will press the buttons. Constraints * All input values are integers. * 1 ≦ N ≦ 10^5 * 0 ≦ A_i ≦ 10^9(1 ≦ i ≦ N) * 1 ≦ B_i ≦ 10^9(1 ≦ i ≦ N) Input The input is given from Standard Input in the following format: N A_1 B_1 : A_N B_N Output Print an integer representing the minimum number of times Takahashi will press the buttons. Examples Input 3 3 5 2 7 9 4 Output 7 Input 7 3 1 4 1 5 9 2 6 5 3 5 8 9 7 Output 22 Submitted Solution: ``` N = int(input()) A = [list(map(int,input().split())) for k in range(N)] ans = 0 for k in range(N): A[N-1-k][0] += ans while A[N-1-k][0]%A[N-1-k][1]!=0: A[N-1-k][0] += 1 ans += 1 print(ans) ```
instruction
0
59,560
5
119,120
No
output
1
59,560
5
119,121
Provide a correct Python 3 solution for this coding contest problem. Example Input 2 1 2 Output 2
instruction
0
59,669
5
119,338
"Correct Solution: ``` N = int(input()) A = [int(x) for x in input().split()] ans = -1 for i in range(N): for j in range(i + 1, N): num = [int(x) for x in str(A[i] * A[j])] if all(num[i] + 1 == num[i + 1] for i in range(len(num) - 1)) and ans < A[i] * A[j]: ans = A[i] * A[j] print(ans) ```
output
1
59,669
5
119,339
Provide a correct Python 3 solution for this coding contest problem. Example Input 2 1 2 Output 2
instruction
0
59,670
5
119,340
"Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) safe = list() for i in range(n - 1): for j in range(i + 1, n): pro = a[i] * a[j] digit = [pro % (10 ** k) // (10 ** (k - 1)) for k in range(1, 10)] while digit[-1] == 0: digit = digit[:-1] if len(digit) == 1: safe.append(pro) continue flag = True for k in range(len(digit) - 1): if digit[k + 1] - digit[k] != -1: flag = False break if flag: safe.append(pro) if safe: safe.sort() print(safe[-1]) else: print(-1) ```
output
1
59,670
5
119,341
Provide a correct Python 3 solution for this coding contest problem. Example Input 2 1 2 Output 2
instruction
0
59,671
5
119,342
"Correct Solution: ``` def is_increasing(n): for c1,c2 in zip(str(n),str(n)[1:]): if int(c1) + 1 != int(c2): return False return True N = int(input()) src = list(map(int,input().split())) ans = -1 for i in range(N-1): for j in range(i+1,N): if is_increasing(src[i] * src[j]): ans = max(ans, src[i] * src[j]) print(ans) ```
output
1
59,671
5
119,343
Provide a correct Python 3 solution for this coding contest problem. Example Input 2 1 2 Output 2
instruction
0
59,672
5
119,344
"Correct Solution: ``` import itertools def check(x: int) -> bool: s = str(x) prev = ord(s[0]) for c in s[1:]: if ord(c) != prev+1: return False prev = ord(c) return True def main() -> None: n = int(input()) v = list(map(int, input().split(' '))) max_ = -1 for c in itertools.combinations(sorted(v), 2): p = c[0] * c[1] if check(p): max_ = max(max_, p) print(max_) if __name__ == '__main__': main() ```
output
1
59,672
5
119,345
Provide a correct Python 3 solution for this coding contest problem. Example Input 2 1 2 Output 2
instruction
0
59,673
5
119,346
"Correct Solution: ``` I=input;n=int(I()) def f(x): a=x%10;x//=10 while x: if x%10+1!=a:return 0 a=x%10;x//=10 return 1 a=list(map(int,I().split())) b=-1 for i in range(n): for j in a[i+1:]: c=a[i]*j if(f(c) and b<c):b=c print(b) ```
output
1
59,673
5
119,347
Provide a correct Python 3 solution for this coding contest problem. Example Input 2 1 2 Output 2
instruction
0
59,674
5
119,348
"Correct Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 998244353 def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): rr = [] while True: n = I() a = LI() r = -1 for i in range(n): b = a[i] for c in a[i+1:]: t = b*c if r >= t: continue s = str(t) if all([int(s[k]) == int(s[k+1])-1 for k in range(len(s)-1)]): r = t rr.append(r) break return '\n'.join(map(str, rr)) print(main()) ```
output
1
59,674
5
119,349
Provide a correct Python 3 solution for this coding contest problem. Example Input 2 1 2 Output 2
instruction
0
59,675
5
119,350
"Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) ma = -1 for i in range(n - 1): for j in range(i + 1, n): pro = a[i] * a[j] digit = [pro % (10 ** k) // (10 ** (k - 1)) for k in range(1, 10)] while digit[-1] == 0: digit = digit[:-1] if len(digit) == 1: ma = max(ma, pro) continue flag = True for k in range(len(digit) - 1): if digit[k + 1] - digit[k] != -1: flag = False break if flag: ma = max(ma, pro) print(ma) ```
output
1
59,675
5
119,351
Provide a correct Python 3 solution for this coding contest problem. Example Input 2 1 2 Output 2
instruction
0
59,676
5
119,352
"Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) safe = set() for i in range(n - 1): for j in range(i + 1, n): pro = a[i] * a[j] digit = [pro % (10 ** k) // (10 ** (k - 1)) for k in range(1, 10)] while digit[-1] == 0: digit = digit[:-1] if len(digit) == 1: safe.add(pro) continue flag = True for k in range(len(digit) - 1): if digit[k + 1] - digit[k] != -1: flag = False break if flag: safe.add(pro) if safe: print(max(safe)) else: print(-1) ```
output
1
59,676
5
119,353
Provide a correct Python 3 solution for this coding contest problem. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No
instruction
0
59,678
5
119,356
"Correct Solution: ``` h,w,x,y = map(int ,input().split()) if (h*w) % 2 + (x + y) % 2 == 2: print('No') else: print('Yes') ```
output
1
59,678
5
119,357
Provide a correct Python 3 solution for this coding contest problem. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No
instruction
0
59,679
5
119,358
"Correct Solution: ``` h,w,x,y = map(int,input().split()) print('No' if (h*w)%2==1 and (x+y)%2==1 else 'Yes') ```
output
1
59,679
5
119,359
Provide a correct Python 3 solution for this coding contest problem. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No
instruction
0
59,680
5
119,360
"Correct Solution: ``` H,W,x,y=map(int,input().split()) if (H*W)%2==1 and (x+y)%2==1: print("No") else: print("Yes") ```
output
1
59,680
5
119,361
Provide a correct Python 3 solution for this coding contest problem. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No
instruction
0
59,681
5
119,362
"Correct Solution: ``` a,b,c,d = map(int,input().split()) if a*b%2==1 and (c+d)%2 == 1: print("No") else: print("Yes") ```
output
1
59,681
5
119,363
Provide a correct Python 3 solution for this coding contest problem. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No
instruction
0
59,682
5
119,364
"Correct Solution: ``` H, W, X, Y = [int(x) for x in input().split()] ans = 'No' if (H * W) % 2 + (X + Y) % 2 == 2 else 'Yes' print(ans) ```
output
1
59,682
5
119,365
Provide a correct Python 3 solution for this coding contest problem. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No
instruction
0
59,683
5
119,366
"Correct Solution: ``` h,w,x,y=map(int,input().split()) print(["No","Yes"][h*w%2==0 or(x+y)%2==0]) ```
output
1
59,683
5
119,367
Provide a correct Python 3 solution for this coding contest problem. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No
instruction
0
59,684
5
119,368
"Correct Solution: ``` H,W,x,y=map(int,input().split()) if H*W%2==1 and (x+y)%2==1: print("No") else: print("Yes") ```
output
1
59,684
5
119,369
Provide a correct Python 3 solution for this coding contest problem. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No
instruction
0
59,685
5
119,370
"Correct Solution: ``` a,b,c,d=map(int,input().split()) print("No" if ((a*b)%2)*((c+d)%2)==1 else "Yes") ```
output
1
59,685
5
119,371
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No Submitted Solution: ``` h, w, x, y = map(int, input().split()) print('No' if h*w % 2 == 1 and (x+y) % 2 == 1 else 'Yes') ```
instruction
0
59,686
5
119,372
Yes
output
1
59,686
5
119,373
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No Submitted Solution: ``` h, w, x, y = map(int, input().split()) if h * w % 2 == 1 and (x+y) % 2 == 1: print("No") else: print("Yes") ```
instruction
0
59,687
5
119,374
Yes
output
1
59,687
5
119,375
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No Submitted Solution: ``` H, W, X, Y = map(int, input().split()) if ((H * W) * (X + Y)) % 2: print('No') else: print('Yes') ```
instruction
0
59,688
5
119,376
Yes
output
1
59,688
5
119,377
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No Submitted Solution: ``` h,w,x,y=map(int,input().split());print(["Yes","No"][h*w%2*(x+y)%2]) ```
instruction
0
59,689
5
119,378
Yes
output
1
59,689
5
119,379
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sequences: a_1, a_2, …, a_n; b_1, b_2, …, b_n; c_1, c_2, …, c_n. For each i, a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i. Find a sequence p_1, p_2, …, p_n, that satisfy the following conditions: * p_i ∈ \\{a_i, b_i, c_i\} * p_i β‰  p_{(i mod n) + 1}. In other words, for each element, you need to choose one of the three possible values, such that no two adjacent elements (where we consider elements i,i+1 adjacent for i<n and also elements 1 and n) will have equal value. It can be proved that in the given constraints solution always exists. You don't need to minimize/maximize anything, you need to find any proper sequence. Input The first line of input contains one integer t (1 ≀ t ≀ 100): the number of test cases. The first line of each test case contains one integer n (3 ≀ n ≀ 100): the number of elements in the given sequences. The second line contains n integers a_1, a_2, …, a_n (1 ≀ a_i ≀ 100). The third line contains n integers b_1, b_2, …, b_n (1 ≀ b_i ≀ 100). The fourth line contains n integers c_1, c_2, …, c_n (1 ≀ c_i ≀ 100). It is guaranteed that a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i for all i. Output For each test case, print n integers: p_1, p_2, …, p_n (p_i ∈ \\{a_i, b_i, c_i\}, p_i β‰  p_{i mod n + 1}). If there are several solutions, you can print any. Example Input 5 3 1 1 1 2 2 2 3 3 3 4 1 2 1 2 2 1 2 1 3 4 3 4 7 1 3 3 1 1 1 1 2 4 4 3 2 2 4 4 2 2 2 4 4 2 3 1 2 1 2 3 3 3 1 2 10 1 1 1 2 2 2 3 3 3 1 2 2 2 3 3 3 1 1 1 2 3 3 3 1 1 1 2 2 2 3 Output 1 2 3 1 2 1 2 1 3 4 3 2 4 2 1 3 2 1 2 3 1 2 3 1 2 3 2 Note In the first test case p = [1, 2, 3]. It is a correct answer, because: * p_1 = 1 = a_1, p_2 = 2 = b_2, p_3 = 3 = c_3 * p_1 β‰  p_2 , p_2 β‰  p_3 , p_3 β‰  p_1 All possible correct answers to this test case are: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]. In the second test case p = [1, 2, 1, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = a_3, p_4 = a_4. Also we can see, that no two adjacent elements of the sequence are equal. In the third test case p = [1, 3, 4, 3, 2, 4, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = b_3, p_4 = b_4, p_5 = b_5, p_6 = c_6, p_7 = c_7. Also we can see, that no two adjacent elements of the sequence are equal. Submitted Solution: ``` testcases = int(input()) for testcase in range(testcases): n = int(input()) arra = [] arrb = [] arrc = [] temparr = input() temparr = temparr.split() for i in temparr: arra.append(int(i)) temparr = input() temparr = temparr.split() for i in temparr: arrb.append(int(i)) temparr = input() temparr = temparr.split() for i in temparr: arrc.append(int(i)) ans = [] for i in range(n): if i == 0 : ans.append(arra[i]) continue elif i != n-1: if arra[i] != ans[-1]: ans.append(arra[i]) continue elif arrb[i] != ans[-1]: ans.append(arrb[i]) continue else: ans.append(arrc[i]) else: if arra[i] != ans[-1] and arra[i] != ans[0]: ans.append(arra[i]) elif arrb[i] != ans[-1] and arrb[i] != ans[0]: ans.append(arrb[i]) else: ans.append(arrc[i]) sans = [] for i in ans: sans.append(str(i)) print(" ".join(sans)) ```
instruction
0
59,908
5
119,816
Yes
output
1
59,908
5
119,817
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sequences: a_1, a_2, …, a_n; b_1, b_2, …, b_n; c_1, c_2, …, c_n. For each i, a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i. Find a sequence p_1, p_2, …, p_n, that satisfy the following conditions: * p_i ∈ \\{a_i, b_i, c_i\} * p_i β‰  p_{(i mod n) + 1}. In other words, for each element, you need to choose one of the three possible values, such that no two adjacent elements (where we consider elements i,i+1 adjacent for i<n and also elements 1 and n) will have equal value. It can be proved that in the given constraints solution always exists. You don't need to minimize/maximize anything, you need to find any proper sequence. Input The first line of input contains one integer t (1 ≀ t ≀ 100): the number of test cases. The first line of each test case contains one integer n (3 ≀ n ≀ 100): the number of elements in the given sequences. The second line contains n integers a_1, a_2, …, a_n (1 ≀ a_i ≀ 100). The third line contains n integers b_1, b_2, …, b_n (1 ≀ b_i ≀ 100). The fourth line contains n integers c_1, c_2, …, c_n (1 ≀ c_i ≀ 100). It is guaranteed that a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i for all i. Output For each test case, print n integers: p_1, p_2, …, p_n (p_i ∈ \\{a_i, b_i, c_i\}, p_i β‰  p_{i mod n + 1}). If there are several solutions, you can print any. Example Input 5 3 1 1 1 2 2 2 3 3 3 4 1 2 1 2 2 1 2 1 3 4 3 4 7 1 3 3 1 1 1 1 2 4 4 3 2 2 4 4 2 2 2 4 4 2 3 1 2 1 2 3 3 3 1 2 10 1 1 1 2 2 2 3 3 3 1 2 2 2 3 3 3 1 1 1 2 3 3 3 1 1 1 2 2 2 3 Output 1 2 3 1 2 1 2 1 3 4 3 2 4 2 1 3 2 1 2 3 1 2 3 1 2 3 2 Note In the first test case p = [1, 2, 3]. It is a correct answer, because: * p_1 = 1 = a_1, p_2 = 2 = b_2, p_3 = 3 = c_3 * p_1 β‰  p_2 , p_2 β‰  p_3 , p_3 β‰  p_1 All possible correct answers to this test case are: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]. In the second test case p = [1, 2, 1, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = a_3, p_4 = a_4. Also we can see, that no two adjacent elements of the sequence are equal. In the third test case p = [1, 3, 4, 3, 2, 4, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = b_3, p_4 = b_4, p_5 = b_5, p_6 = c_6, p_7 = c_7. Also we can see, that no two adjacent elements of the sequence are equal. Submitted Solution: ``` #!/usr/bin/env python import os import sys from io import BytesIO, IOBase #New Imports def solution(): n = int(input()) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) p = [0]*n p[-1] = a[-1] for i in reversed(range(n-1)): if a[i] != p[i+1]: p[i] = a[i] elif b[i] != p[i+1]: p[i] = b[i] else: p[i] = c[i] if p[n-1] == p[0]: if a[n-1] != p[0] and p[n-2] != a[n-1]: p[n-1] = a[n-1] elif b[n-1] != p[0] and p[n-2] != b[n-1]: p[n-1] = b[n-1] else: p[n-1] = c[n-1] print(*p) def main(): testcases = 1 testcases = int(input()) for _ in range(testcases): solution() # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": main() ```
instruction
0
59,909
5
119,818
Yes
output
1
59,909
5
119,819
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sequences: a_1, a_2, …, a_n; b_1, b_2, …, b_n; c_1, c_2, …, c_n. For each i, a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i. Find a sequence p_1, p_2, …, p_n, that satisfy the following conditions: * p_i ∈ \\{a_i, b_i, c_i\} * p_i β‰  p_{(i mod n) + 1}. In other words, for each element, you need to choose one of the three possible values, such that no two adjacent elements (where we consider elements i,i+1 adjacent for i<n and also elements 1 and n) will have equal value. It can be proved that in the given constraints solution always exists. You don't need to minimize/maximize anything, you need to find any proper sequence. Input The first line of input contains one integer t (1 ≀ t ≀ 100): the number of test cases. The first line of each test case contains one integer n (3 ≀ n ≀ 100): the number of elements in the given sequences. The second line contains n integers a_1, a_2, …, a_n (1 ≀ a_i ≀ 100). The third line contains n integers b_1, b_2, …, b_n (1 ≀ b_i ≀ 100). The fourth line contains n integers c_1, c_2, …, c_n (1 ≀ c_i ≀ 100). It is guaranteed that a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i for all i. Output For each test case, print n integers: p_1, p_2, …, p_n (p_i ∈ \\{a_i, b_i, c_i\}, p_i β‰  p_{i mod n + 1}). If there are several solutions, you can print any. Example Input 5 3 1 1 1 2 2 2 3 3 3 4 1 2 1 2 2 1 2 1 3 4 3 4 7 1 3 3 1 1 1 1 2 4 4 3 2 2 4 4 2 2 2 4 4 2 3 1 2 1 2 3 3 3 1 2 10 1 1 1 2 2 2 3 3 3 1 2 2 2 3 3 3 1 1 1 2 3 3 3 1 1 1 2 2 2 3 Output 1 2 3 1 2 1 2 1 3 4 3 2 4 2 1 3 2 1 2 3 1 2 3 1 2 3 2 Note In the first test case p = [1, 2, 3]. It is a correct answer, because: * p_1 = 1 = a_1, p_2 = 2 = b_2, p_3 = 3 = c_3 * p_1 β‰  p_2 , p_2 β‰  p_3 , p_3 β‰  p_1 All possible correct answers to this test case are: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]. In the second test case p = [1, 2, 1, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = a_3, p_4 = a_4. Also we can see, that no two adjacent elements of the sequence are equal. In the third test case p = [1, 3, 4, 3, 2, 4, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = b_3, p_4 = b_4, p_5 = b_5, p_6 = c_6, p_7 = c_7. Also we can see, that no two adjacent elements of the sequence are equal. Submitted Solution: ``` # -*- coding: utf-8 -*- """ Created on Wed Sep 30 20:34:22 2020 @author: Dark Soul """ t=int(input('')) for i in range(t): n=int(input('')) a=list(map(int,input().split())) b=list(map(int,input().split())) c=list(map(int,input().split())) sol=[0]*n sol[0]=a[0] for i in range(1,n): if a[i]!=sol[i-1]: sol[i]=a[i] elif b[i]!=sol[i-1]: sol[i]=b[i] else: sol[i]=c[i] if sol[0]==sol[n-1]: if a[i]!=sol[0] and a[i]!=sol[n-2]: sol[i]=a[i] elif b[i]!=sol[0] and b[i]!=sol[n-2]: sol[i]=b[i] else: sol[i]=c[i] print(*sol) ```
instruction
0
59,910
5
119,820
Yes
output
1
59,910
5
119,821
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sequences: a_1, a_2, …, a_n; b_1, b_2, …, b_n; c_1, c_2, …, c_n. For each i, a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i. Find a sequence p_1, p_2, …, p_n, that satisfy the following conditions: * p_i ∈ \\{a_i, b_i, c_i\} * p_i β‰  p_{(i mod n) + 1}. In other words, for each element, you need to choose one of the three possible values, such that no two adjacent elements (where we consider elements i,i+1 adjacent for i<n and also elements 1 and n) will have equal value. It can be proved that in the given constraints solution always exists. You don't need to minimize/maximize anything, you need to find any proper sequence. Input The first line of input contains one integer t (1 ≀ t ≀ 100): the number of test cases. The first line of each test case contains one integer n (3 ≀ n ≀ 100): the number of elements in the given sequences. The second line contains n integers a_1, a_2, …, a_n (1 ≀ a_i ≀ 100). The third line contains n integers b_1, b_2, …, b_n (1 ≀ b_i ≀ 100). The fourth line contains n integers c_1, c_2, …, c_n (1 ≀ c_i ≀ 100). It is guaranteed that a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i for all i. Output For each test case, print n integers: p_1, p_2, …, p_n (p_i ∈ \\{a_i, b_i, c_i\}, p_i β‰  p_{i mod n + 1}). If there are several solutions, you can print any. Example Input 5 3 1 1 1 2 2 2 3 3 3 4 1 2 1 2 2 1 2 1 3 4 3 4 7 1 3 3 1 1 1 1 2 4 4 3 2 2 4 4 2 2 2 4 4 2 3 1 2 1 2 3 3 3 1 2 10 1 1 1 2 2 2 3 3 3 1 2 2 2 3 3 3 1 1 1 2 3 3 3 1 1 1 2 2 2 3 Output 1 2 3 1 2 1 2 1 3 4 3 2 4 2 1 3 2 1 2 3 1 2 3 1 2 3 2 Note In the first test case p = [1, 2, 3]. It is a correct answer, because: * p_1 = 1 = a_1, p_2 = 2 = b_2, p_3 = 3 = c_3 * p_1 β‰  p_2 , p_2 β‰  p_3 , p_3 β‰  p_1 All possible correct answers to this test case are: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]. In the second test case p = [1, 2, 1, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = a_3, p_4 = a_4. Also we can see, that no two adjacent elements of the sequence are equal. In the third test case p = [1, 3, 4, 3, 2, 4, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = b_3, p_4 = b_4, p_5 = b_5, p_6 = c_6, p_7 = c_7. Also we can see, that no two adjacent elements of the sequence are equal. Submitted Solution: ``` import sys #import math #from queue import * #import random #sys.setrecursionlimit(int(1e6)) input = sys.stdin.readline ############ ---- USER DEFINED INPUT FUNCTIONS ---- ############ def inp(): return(int(input())) def inara(): return(list(map(int,input().split()))) def insr(): s = input() return(list(s[:len(s) - 1])) def invr(): return(map(int,input().split())) ################################################################ ############ ---- THE ACTUAL CODE STARTS BELOW ---- ############ t=inp() for _ in range(t): n=inp() a=inara() b=inara() c=inara() ans=[] ans.append(a[0]) for i in range(1,n): if ans[i-1]!=a[i]: ans.append(a[i]) elif ans[i-1]!=b[i]: ans.append(b[i]) else: ans.append[c[i]] for i in range(n-1): print(ans[i],end=" ") if ans[-1]==ans[0]: if (ans[0]!=a[-1]) and (ans[-2]!=a[-1]): print(a[-1]) elif (ans[0]!=b[-1]) and (ans[-2]!=b[-1]): print(b[-1]) else: print(c[-1]) else: print(ans[-1]) ```
instruction
0
59,911
5
119,822
Yes
output
1
59,911
5
119,823
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sequences: a_1, a_2, …, a_n; b_1, b_2, …, b_n; c_1, c_2, …, c_n. For each i, a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i. Find a sequence p_1, p_2, …, p_n, that satisfy the following conditions: * p_i ∈ \\{a_i, b_i, c_i\} * p_i β‰  p_{(i mod n) + 1}. In other words, for each element, you need to choose one of the three possible values, such that no two adjacent elements (where we consider elements i,i+1 adjacent for i<n and also elements 1 and n) will have equal value. It can be proved that in the given constraints solution always exists. You don't need to minimize/maximize anything, you need to find any proper sequence. Input The first line of input contains one integer t (1 ≀ t ≀ 100): the number of test cases. The first line of each test case contains one integer n (3 ≀ n ≀ 100): the number of elements in the given sequences. The second line contains n integers a_1, a_2, …, a_n (1 ≀ a_i ≀ 100). The third line contains n integers b_1, b_2, …, b_n (1 ≀ b_i ≀ 100). The fourth line contains n integers c_1, c_2, …, c_n (1 ≀ c_i ≀ 100). It is guaranteed that a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i for all i. Output For each test case, print n integers: p_1, p_2, …, p_n (p_i ∈ \\{a_i, b_i, c_i\}, p_i β‰  p_{i mod n + 1}). If there are several solutions, you can print any. Example Input 5 3 1 1 1 2 2 2 3 3 3 4 1 2 1 2 2 1 2 1 3 4 3 4 7 1 3 3 1 1 1 1 2 4 4 3 2 2 4 4 2 2 2 4 4 2 3 1 2 1 2 3 3 3 1 2 10 1 1 1 2 2 2 3 3 3 1 2 2 2 3 3 3 1 1 1 2 3 3 3 1 1 1 2 2 2 3 Output 1 2 3 1 2 1 2 1 3 4 3 2 4 2 1 3 2 1 2 3 1 2 3 1 2 3 2 Note In the first test case p = [1, 2, 3]. It is a correct answer, because: * p_1 = 1 = a_1, p_2 = 2 = b_2, p_3 = 3 = c_3 * p_1 β‰  p_2 , p_2 β‰  p_3 , p_3 β‰  p_1 All possible correct answers to this test case are: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]. In the second test case p = [1, 2, 1, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = a_3, p_4 = a_4. Also we can see, that no two adjacent elements of the sequence are equal. In the third test case p = [1, 3, 4, 3, 2, 4, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = b_3, p_4 = b_4, p_5 = b_5, p_6 = c_6, p_7 = c_7. Also we can see, that no two adjacent elements of the sequence are equal. Submitted Solution: ``` cases = int(input()) while cases: cases -= 1 num = int(input()) ans = [1] a = list(map(int, input().split())) b = list(map(int, input().split())) c = list(map(int, input().split())) for i in range(num): if a[i] != ans[-1]: ans.append(a[i]) else: ans.append(b[i]) ans = ans[1:] if ans[0] == ans[-1]: ans[-1] = c[-1] print(*ans) ```
instruction
0
59,912
5
119,824
No
output
1
59,912
5
119,825
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sequences: a_1, a_2, …, a_n; b_1, b_2, …, b_n; c_1, c_2, …, c_n. For each i, a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i. Find a sequence p_1, p_2, …, p_n, that satisfy the following conditions: * p_i ∈ \\{a_i, b_i, c_i\} * p_i β‰  p_{(i mod n) + 1}. In other words, for each element, you need to choose one of the three possible values, such that no two adjacent elements (where we consider elements i,i+1 adjacent for i<n and also elements 1 and n) will have equal value. It can be proved that in the given constraints solution always exists. You don't need to minimize/maximize anything, you need to find any proper sequence. Input The first line of input contains one integer t (1 ≀ t ≀ 100): the number of test cases. The first line of each test case contains one integer n (3 ≀ n ≀ 100): the number of elements in the given sequences. The second line contains n integers a_1, a_2, …, a_n (1 ≀ a_i ≀ 100). The third line contains n integers b_1, b_2, …, b_n (1 ≀ b_i ≀ 100). The fourth line contains n integers c_1, c_2, …, c_n (1 ≀ c_i ≀ 100). It is guaranteed that a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i for all i. Output For each test case, print n integers: p_1, p_2, …, p_n (p_i ∈ \\{a_i, b_i, c_i\}, p_i β‰  p_{i mod n + 1}). If there are several solutions, you can print any. Example Input 5 3 1 1 1 2 2 2 3 3 3 4 1 2 1 2 2 1 2 1 3 4 3 4 7 1 3 3 1 1 1 1 2 4 4 3 2 2 4 4 2 2 2 4 4 2 3 1 2 1 2 3 3 3 1 2 10 1 1 1 2 2 2 3 3 3 1 2 2 2 3 3 3 1 1 1 2 3 3 3 1 1 1 2 2 2 3 Output 1 2 3 1 2 1 2 1 3 4 3 2 4 2 1 3 2 1 2 3 1 2 3 1 2 3 2 Note In the first test case p = [1, 2, 3]. It is a correct answer, because: * p_1 = 1 = a_1, p_2 = 2 = b_2, p_3 = 3 = c_3 * p_1 β‰  p_2 , p_2 β‰  p_3 , p_3 β‰  p_1 All possible correct answers to this test case are: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]. In the second test case p = [1, 2, 1, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = a_3, p_4 = a_4. Also we can see, that no two adjacent elements of the sequence are equal. In the third test case p = [1, 3, 4, 3, 2, 4, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = b_3, p_4 = b_4, p_5 = b_5, p_6 = c_6, p_7 = c_7. Also we can see, that no two adjacent elements of the sequence are equal. Submitted Solution: ``` t=int(input()) for z in range(t): n=int(input()) a=[int(x) for x in input().split()] b=[int(x) for x in input().split()] c=[int(x) for x in input().split()] temp=[] ans=[] temp.append(a[0]) temp.append(b[0]) temp.append(c[0]) temp=sorted(temp) ans.append(temp[0]) for i in range(1,n): temp=[] temp.append(a[i]) temp.append(b[i]) temp.append(c[i]) temp=sorted(temp) if temp[0]!=ans[i-1]: ans.append(temp[0]) else: ans.append(temp[1]) print(ans) ```
instruction
0
59,913
5
119,826
No
output
1
59,913
5
119,827
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sequences: a_1, a_2, …, a_n; b_1, b_2, …, b_n; c_1, c_2, …, c_n. For each i, a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i. Find a sequence p_1, p_2, …, p_n, that satisfy the following conditions: * p_i ∈ \\{a_i, b_i, c_i\} * p_i β‰  p_{(i mod n) + 1}. In other words, for each element, you need to choose one of the three possible values, such that no two adjacent elements (where we consider elements i,i+1 adjacent for i<n and also elements 1 and n) will have equal value. It can be proved that in the given constraints solution always exists. You don't need to minimize/maximize anything, you need to find any proper sequence. Input The first line of input contains one integer t (1 ≀ t ≀ 100): the number of test cases. The first line of each test case contains one integer n (3 ≀ n ≀ 100): the number of elements in the given sequences. The second line contains n integers a_1, a_2, …, a_n (1 ≀ a_i ≀ 100). The third line contains n integers b_1, b_2, …, b_n (1 ≀ b_i ≀ 100). The fourth line contains n integers c_1, c_2, …, c_n (1 ≀ c_i ≀ 100). It is guaranteed that a_i β‰  b_i, a_i β‰  c_i, b_i β‰  c_i for all i. Output For each test case, print n integers: p_1, p_2, …, p_n (p_i ∈ \\{a_i, b_i, c_i\}, p_i β‰  p_{i mod n + 1}). If there are several solutions, you can print any. Example Input 5 3 1 1 1 2 2 2 3 3 3 4 1 2 1 2 2 1 2 1 3 4 3 4 7 1 3 3 1 1 1 1 2 4 4 3 2 2 4 4 2 2 2 4 4 2 3 1 2 1 2 3 3 3 1 2 10 1 1 1 2 2 2 3 3 3 1 2 2 2 3 3 3 1 1 1 2 3 3 3 1 1 1 2 2 2 3 Output 1 2 3 1 2 1 2 1 3 4 3 2 4 2 1 3 2 1 2 3 1 2 3 1 2 3 2 Note In the first test case p = [1, 2, 3]. It is a correct answer, because: * p_1 = 1 = a_1, p_2 = 2 = b_2, p_3 = 3 = c_3 * p_1 β‰  p_2 , p_2 β‰  p_3 , p_3 β‰  p_1 All possible correct answers to this test case are: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]. In the second test case p = [1, 2, 1, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = a_3, p_4 = a_4. Also we can see, that no two adjacent elements of the sequence are equal. In the third test case p = [1, 3, 4, 3, 2, 4, 2]. In this sequence p_1 = a_1, p_2 = a_2, p_3 = b_3, p_4 = b_4, p_5 = b_5, p_6 = c_6, p_7 = c_7. Also we can see, that no two adjacent elements of the sequence are equal. Submitted Solution: ``` # import os # import sys # sys.stdin = open('input.txt', 'r') # sys.stdout = open('output.txt', 'w') for i1 in range(int(input())): n=int(input()) a=[int(i) for i in input().split()] b=[int(i) for i in input().split()] c=[int(i) for i in input().split()] ans=a for i in range(1,n): if(ans[i]==a[i-1]): ans[i]=b[i] if(ans[-1]==a[0]): ans[-1]=b[-1] print(*ans) ```
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