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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is...
instruction
0
97,369
5
194,738
Yes
output
1
97,369
5
194,739
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is...
instruction
0
97,370
5
194,740
Yes
output
1
97,370
5
194,741
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is...
instruction
0
97,371
5
194,742
Yes
output
1
97,371
5
194,743
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is...
instruction
0
97,372
5
194,744
Yes
output
1
97,372
5
194,745
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is...
instruction
0
97,373
5
194,746
No
output
1
97,373
5
194,747
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is...
instruction
0
97,374
5
194,748
No
output
1
97,374
5
194,749
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is...
instruction
0
97,375
5
194,750
No
output
1
97,375
5
194,751
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is...
instruction
0
97,376
5
194,752
No
output
1
97,376
5
194,753
Provide a correct Python 3 solution for this coding contest problem. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \bmod 998244353. Constraints * 1 \leq N, M \leq 524288 *...
instruction
0
97,591
5
195,182
"Correct Solution: ``` def primitive_root(m): if m == 2: return 1 if m == 167772161: return 3 if m == 469762049: return 3 if m == 754974721: return 11 if m == 998244353: return 3 divs = [0] * 20 cnt = 1 x = (m - 1) // 2 while x % 2 == 0: x //= 2 i = 3 while i * i <= x...
output
1
97,591
5
195,183
Provide a correct Python 3 solution for this coding contest problem. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \bmod 998244353. Constraints * 1 \leq N, M \leq 524288 *...
instruction
0
97,592
5
195,184
"Correct Solution: ``` p, g = 998244353, 3 invg = pow(g, p-2, p) W = [pow(g, (p - 1) >> i, p) for i in range(24)] iW = [pow(invg, (p - 1) >> i, p) for i in range(24)] def convolve(a, b): def fft(f): for l in range(k)[::-1]: d = 1 << l u = 1 for i in range(d): ...
output
1
97,592
5
195,185
Provide a correct Python 3 solution for this coding contest problem. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \bmod 998244353. Constraints * 1 \leq N, M \leq 524288 *...
instruction
0
97,593
5
195,186
"Correct Solution: ``` class NTT: def __init__(self, convolution_rank, binary_level): self.cr = convolution_rank self.bl = binary_level self.modulo_list = [1]*convolution_rank self.primal_root_list = [1]*convolution_rank self.bin_list = [1]*(binary_level+1) self.prima...
output
1
97,593
5
195,187
Provide a correct Python 3 solution for this coding contest problem. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \bmod 998244353. Constraints * 1 \leq N, M \leq 524288 *...
instruction
0
97,594
5
195,188
"Correct Solution: ``` # AC Library Python版 # Author Koki_tkg ''' internal_type_traits以外は翻訳しました。 practiceは一応全部ACしていますが, practiceで使っていない関数などの動作は未確認なので保証はしません。 また,C++版をほぼそのまま書き換えているので速度は出ません。 (2020/09/13 by Koki_tkg) ''' # --------------------<< Library Start >>-------------------- # # convolution.py class convolution:...
output
1
97,594
5
195,189
Provide a correct Python 3 solution for this coding contest problem. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \bmod 998244353. Constraints * 1 \leq N, M \leq 524288 *...
instruction
0
97,595
5
195,190
"Correct Solution: ``` MOD=[469762049,2281701377,2483027969] D=dict() def DFTm(A,proot,mod,s): n=1<<s m=n>>1 if n==1: return 0 X,Y=[],[] for i in range(0,n,2): X.append(A[i]) Y.append(A[i+1]) DFTm(X,proot,mod,s-1) DFTm(Y,proot,mod,s-1) a,b=1,0 if D.get((proot,s),-1)==-1: b=pow(proot,(m...
output
1
97,595
5
195,191
Provide a correct Python 3 solution for this coding contest problem. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \bmod 998244353. Constraints * 1 \leq N, M \leq 524288 *...
instruction
0
97,596
5
195,192
"Correct Solution: ``` MOD = None sum_e = (911660635, 509520358, 369330050, 332049552, 983190778, 123842337, 238493703, 975955924, 603855026, 856644456, 131300601, 842657263, 730768835, 942482514, 806263778, 151565301, 510815449, 503497456, 743006876, 741047443, 56250497, 0, 0, 0, 0, 0, 0, 0, 0, 0) sum_ie = (86583718,...
output
1
97,596
5
195,193
Provide a correct Python 3 solution for this coding contest problem. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \bmod 998244353. Constraints * 1 \leq N, M \leq 524288 *...
instruction
0
97,597
5
195,194
"Correct Solution: ``` p, g, ig = 998244353, 3, 332748118 W = [pow(g, (p - 1) >> i, p) for i in range(24)] iW = [pow(ig, (p - 1) >> i, p) for i in range(24)] def fft(k, f): for l in range(k, 0, -1): d = 1 << l - 1 U = [1] for i in range(d): U.append(U[-1] * W[l] % p) ...
output
1
97,597
5
195,195
Provide a correct Python 3 solution for this coding contest problem. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \bmod 998244353. Constraints * 1 \leq N, M \leq 524288 *...
instruction
0
97,598
5
195,196
"Correct Solution: ``` MOD = 998244353 ROOT = 3 class Convolution_998244353(): def __init__(self): self.sum_e = [911660635, 509520358, 369330050, 332049552, 983190778, 123842337, 238493703, 975955924, 603855026, 856644456, 131300601, 842657263, 730768835, 942482514, 806263778, 151565301, 510815449, 5034974...
output
1
97,598
5
195,197
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \b...
instruction
0
97,599
5
195,198
Yes
output
1
97,599
5
195,199
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \b...
instruction
0
97,600
5
195,200
Yes
output
1
97,600
5
195,201
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \b...
instruction
0
97,601
5
195,202
Yes
output
1
97,601
5
195,203
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \b...
instruction
0
97,602
5
195,204
Yes
output
1
97,602
5
195,205
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \b...
instruction
0
97,603
5
195,206
No
output
1
97,603
5
195,207
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \b...
instruction
0
97,605
5
195,210
No
output
1
97,605
5
195,211
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two integer arrays a_0, a_1, ..., a_{N - 1} and b_0, b_1, ..., b_{M - 1}. Calculate the array c_0, c_1, ..., c_{(N - 1) + (M - 1)}, defined by c_i = \sum_{j = 0}^i a_j b_{i - j} \b...
instruction
0
97,606
5
195,212
No
output
1
97,606
5
195,213
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common div...
instruction
0
97,679
5
195,358
Yes
output
1
97,679
5
195,359
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common div...
instruction
0
97,680
5
195,360
Yes
output
1
97,680
5
195,361
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common div...
instruction
0
97,681
5
195,362
Yes
output
1
97,681
5
195,363
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common div...
instruction
0
97,683
5
195,366
No
output
1
97,683
5
195,367
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common div...
instruction
0
97,685
5
195,370
No
output
1
97,685
5
195,371
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K. Constraints * 2 \leq K \leq 10^5 * K is an integer. Input Input is given from Standard Input...
instruction
0
97,711
5
195,422
Yes
output
1
97,711
5
195,423
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K. Constraints * 2 \leq K \leq 10^5 * K is an integer. Input Input is given from Standard Input...
instruction
0
97,712
5
195,424
Yes
output
1
97,712
5
195,425
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K. Constraints * 2 \leq K \leq 10^5 * K is an integer. Input Input is given from Standard Input...
instruction
0
97,714
5
195,428
Yes
output
1
97,714
5
195,429
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K. Constraints * 2 \leq K \leq 10^5 * K is an integer. Input Input is given from Standard Input...
instruction
0
97,715
5
195,430
No
output
1
97,715
5
195,431
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K. Constraints * 2 \leq K \leq 10^5 * K is an integer. Input Input is given from Standard Input...
instruction
0
97,716
5
195,432
No
output
1
97,716
5
195,433
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K. Constraints * 2 \leq K \leq 10^5 * K is an integer. Input Input is given from Standard Input...
instruction
0
97,717
5
195,434
No
output
1
97,717
5
195,435
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K. Constraints * 2 \leq K \leq 10^5 * K is an integer. Input Input is given from Standard Input...
instruction
0
97,718
5
195,436
No
output
1
97,718
5
195,437
Provide a correct Python 3 solution for this coding contest problem. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal to $S$. If there is not such sub-array, report 0. Cons...
instruction
0
97,806
5
195,612
"Correct Solution: ``` def LI(): return list(map(int, input().split())) def II(): return int(input()) def LS(): return input().split() def S(): return input() def LIR(n): return [LI() for i in range(n)] def MI(): return map(int, input().split()) #1:set #1_A """ n,q = map(int, input().split(" ")) group = [[i] for i in r...
output
1
97,806
5
195,613
Provide a correct Python 3 solution for this coding contest problem. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal to $S$. If there is not such sub-array, report 0. Cons...
instruction
0
97,808
5
195,616
"Correct Solution: ``` N, S = map(int, input().split()) a = list(map(int, input().split())) ans = float('INF') total = 0 l = r = 0 while r < N: total += a[r] r += 1 if total >= S: while total >= S: total -= a[l] l += 1 ans = min(ans, r-l+1) if ans == float('INF'):...
output
1
97,808
5
195,617
Provide a correct Python 3 solution for this coding contest problem. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal to $S$. If there is not such sub-array, report 0. Cons...
instruction
0
97,809
5
195,618
"Correct Solution: ``` n,s = map(int, input().split()) a = list(map(int, input().split())) ans = float("inf") ma = 0 mi = 0 v = 0 for i in range(n): v += a[i] if v >= s: ma = i while v >= s: v -= a[mi] mi += 1 ans = min(ans, ma-mi+2) ans = ans if ans != float("inf...
output
1
97,809
5
195,619
Provide a correct Python 3 solution for this coding contest problem. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal to $S$. If there is not such sub-array, report 0. Cons...
instruction
0
97,810
5
195,620
"Correct Solution: ``` import sys if __name__ == "__main__": N, S = map(lambda x: int(x), input().split()) a = list(map(lambda x: int(x), input().split())) ans = sys.maxsize s = 0 e = 0 value = 0 for idx in range(N): value += a[idx] if (S <= value): e = idx ...
output
1
97,810
5
195,621
Provide a correct Python 3 solution for this coding contest problem. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal to $S$. If there is not such sub-array, report 0. Cons...
instruction
0
97,811
5
195,622
"Correct Solution: ``` N,S = map(int,input().split(" ")) a = list(map(int,input().split(" "))) ans = float('inf') l = 0 r = 0 sumv = 0 while True: while r < N and sumv < S: sumv += a[r] r += 1 if sumv < S: break ans = min(ans,r-l) sumv -= a[l] l += 1 if ans == float('inf'): ans = 0 print(ans) ```
output
1
97,811
5
195,623
Provide a correct Python 3 solution for this coding contest problem. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal to $S$. If there is not such sub-array, report 0. Cons...
instruction
0
97,812
5
195,624
"Correct Solution: ``` INF = 10**18 N, S = map(int, input().split()) A = list(map(int, input().split())) res = INF rt = 0 s = 0 for lt in range(N): while rt < N and s < S: s += A[rt] rt += 1 if s >= S: res = min(res, rt - lt) s -= A[lt] print(res if res != INF else 0) ```
output
1
97,812
5
195,625
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal...
instruction
0
97,813
5
195,626
Yes
output
1
97,813
5
195,627
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal...
instruction
0
97,814
5
195,628
Yes
output
1
97,814
5
195,629
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal...
instruction
0
97,815
5
195,630
Yes
output
1
97,815
5
195,631
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal...
instruction
0
97,816
5
195,632
Yes
output
1
97,816
5
195,633
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal...
instruction
0
97,817
5
195,634
No
output
1
97,817
5
195,635
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal...
instruction
0
97,818
5
195,636
No
output
1
97,818
5
195,637
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal...
instruction
0
97,819
5
195,638
No
output
1
97,819
5
195,639
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal...
instruction
0
97,820
5
195,640
No
output
1
97,820
5
195,641
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The only difference between the easy and the hard versions is the maximum value of k. You are given an infinite sequence of form "112123123412345..." which consist of blocks of all consecutive ...
instruction
0
97,946
5
195,892
Yes
output
1
97,946
5
195,893