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Provide a correct Python 3 solution for this coding contest problem. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S_{i} = 0, the bitwise AND of the elements in the i-th ro...
instruction
0
16,581
5
33,162
"Correct Solution: ``` from functools import reduce from operator import and_, or_ N = int(input()) S, T, U, V = [[int(a) for a in input().split()] for _ in range(4)] X = [[U[i] & V[j] if S[i] and T[j] else U[i] if T[j] else V[j] if S[i] else U[i] | V[j] for j in range(N)] for i in range(N)] for _ in range(2): A1...
output
1
16,581
5
33,163
Provide a correct Python 3 solution for this coding contest problem. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S_{i} = 0, the bitwise AND of the elements in the i-th ro...
instruction
0
16,582
5
33,164
"Correct Solution: ``` N = int(input()) S = list(map(int,input().split())) T = list(map(int,input().split())) U = list(map(int,input().split())) V = list(map(int,input().split())) def invalid_exit(): print(-1) exit() ans = [[0]*N for _ in range(N)] for k in range(64): tmp = [[-1]*N for _ in range(N)] ...
output
1
16,582
5
33,165
Provide a correct Python 3 solution for this coding contest problem. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S_{i} = 0, the bitwise AND of the elements in the i-th ro...
instruction
0
16,583
5
33,166
"Correct Solution: ``` #!/usr/bin/env python # -*- coding: utf-8 -*- import sys sys.setrecursionlimit(10**7) from pprint import pprint as pp from pprint import pformat as pf #import pysnooper # @pysnooper.snoop() #TODO import math #from sortedcontainers import SortedList, SortedDict, SortedSet # no in atcoder import ...
output
1
16,583
5
33,167
Provide a correct Python 3 solution for this coding contest problem. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S_{i} = 0, the bitwise AND of the elements in the i-th ro...
instruction
0
16,584
5
33,168
"Correct Solution: ``` n,*s=map(int,open(0).read().split());s,t,f,g=[s[i*n:i*n+n]for i in range(4)];r=range(n);a=[n*[0]for _ in r];e=enumerate for b in range(64): y=1<<b;u=[k&y for k in f];v=[k&y for k in g];l=[0]*n;m=l[:] for i,k in e(u): for j,h in e(v): if(k&h)|((s[i]^1)*k)|((t[j]^1)*h):a[i][j]|=y;l[i]+=1;m[j...
output
1
16,584
5
33,169
Provide a correct Python 3 solution for this coding contest problem. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S_{i} = 0, the bitwise AND of the elements in the i-th ro...
instruction
0
16,585
5
33,170
"Correct Solution: ``` n,*s=map(int,open(0).read().split());s,t,f,g=[s[i*n:i*n+n]for i in range(4)];r=range(n);a=[n*[0]for _ in r];e=1 for _ in[0]*64: u=[k&e for k in f];v=[k&e for k in g];l=[0]*n;m=l[:] for i in r: for j in r: if(u[i]&v[j])|((s[i]^1)*u[i])|((t[j]^1)*v[j]):a[i][j]|=e;l[i]+=1;m[j]+=1 for i in r:...
output
1
16,585
5
33,171
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S...
instruction
0
16,586
5
33,172
Yes
output
1
16,586
5
33,173
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S...
instruction
0
16,587
5
33,174
Yes
output
1
16,587
5
33,175
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S...
instruction
0
16,588
5
33,176
Yes
output
1
16,588
5
33,177
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S...
instruction
0
16,589
5
33,178
Yes
output
1
16,589
5
33,179
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S...
instruction
0
16,590
5
33,180
No
output
1
16,590
5
33,181
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S...
instruction
0
16,591
5
33,182
No
output
1
16,591
5
33,183
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S...
instruction
0
16,592
5
33,184
No
output
1
16,592
5
33,185
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions: * a_{i,j} is an integer. * 0 \leq a_{i,j} \lt 2^{64}. * If S...
instruction
0
16,593
5
33,186
No
output
1
16,593
5
33,187
Provide a correct Python 3 solution for this coding contest problem. There are N apple trees in a row. People say that one of them will bear golden apples. We want to deploy some number of inspectors so that each of these trees will be inspected. Each inspector will be deployed under one of the trees. For convenienc...
instruction
0
16,610
5
33,220
"Correct Solution: ``` N,D = map(int, input().split()) print(-(-N//(1+D*2))) ```
output
1
16,610
5
33,221
Provide a correct Python 3 solution for this coding contest problem. There are N apple trees in a row. People say that one of them will bear golden apples. We want to deploy some number of inspectors so that each of these trees will be inspected. Each inspector will be deployed under one of the trees. For convenienc...
instruction
0
16,611
5
33,222
"Correct Solution: ``` N, D = map(int, input().split()) L = 2*D+1 print((N+L-1)//L) ```
output
1
16,611
5
33,223
Provide a correct Python 3 solution for this coding contest problem. There are N apple trees in a row. People say that one of them will bear golden apples. We want to deploy some number of inspectors so that each of these trees will be inspected. Each inspector will be deployed under one of the trees. For convenienc...
instruction
0
16,612
5
33,224
"Correct Solution: ``` n,d=map(int,input().split()) d=2*d+1 print(-(-n//d)) ```
output
1
16,612
5
33,225
Provide a correct Python 3 solution for this coding contest problem. There are N apple trees in a row. People say that one of them will bear golden apples. We want to deploy some number of inspectors so that each of these trees will be inspected. Each inspector will be deployed under one of the trees. For convenienc...
instruction
0
16,613
5
33,226
"Correct Solution: ``` N,D = map(int,input().split()) a = D*2+1 ans = -(-N//a) print(ans) ```
output
1
16,613
5
33,227
Provide a correct Python 3 solution for this coding contest problem. There are N apple trees in a row. People say that one of them will bear golden apples. We want to deploy some number of inspectors so that each of these trees will be inspected. Each inspector will be deployed under one of the trees. For convenienc...
instruction
0
16,614
5
33,228
"Correct Solution: ``` n,d=map(int,input().split());print(-(-n//(2*d+1))) ```
output
1
16,614
5
33,229
Provide a correct Python 3 solution for this coding contest problem. There are N apple trees in a row. People say that one of them will bear golden apples. We want to deploy some number of inspectors so that each of these trees will be inspected. Each inspector will be deployed under one of the trees. For convenienc...
instruction
0
16,615
5
33,230
"Correct Solution: ``` N,D = map(int,input().split()) A = D*2 + 1 print(N//A + (N%A != 0)) ```
output
1
16,615
5
33,231
Provide a correct Python 3 solution for this coding contest problem. There are N apple trees in a row. People say that one of them will bear golden apples. We want to deploy some number of inspectors so that each of these trees will be inspected. Each inspector will be deployed under one of the trees. For convenienc...
instruction
0
16,616
5
33,232
"Correct Solution: ``` a = list(map(int,input().split())) print(-(-a[0]//(2*a[1]+1))) ```
output
1
16,616
5
33,233
Provide a correct Python 3 solution for this coding contest problem. There are N apple trees in a row. People say that one of them will bear golden apples. We want to deploy some number of inspectors so that each of these trees will be inspected. Each inspector will be deployed under one of the trees. For convenienc...
instruction
0
16,617
5
33,234
"Correct Solution: ``` n,d=list(map(int, input().split())) a=d*2+1 print((n-1)//a+1) ```
output
1
16,617
5
33,235
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N apple trees in a row. People say that one of them will bear golden apples. We want to deploy some number of inspectors so that each of these trees will be inspected. Each inspector...
instruction
0
16,625
5
33,250
No
output
1
16,625
5
33,251
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, two sequences a' and a'' are considered different when t...
instruction
0
16,645
5
33,290
"Correct Solution: ``` n,m=map(int,input().split()) l={} p=2 while m>=p*p: if m%p==0: if not p in l.keys(): l[p]=0 l[p]+=1 m//=p else: p+=1 if not m in l.keys(): l[m]=0 l[m] += 1 ans=1 for p,q in l.items(): if p==1: continue for i in range(q): ...
output
1
16,645
5
33,291
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, two sequences a' and a'' are considered different when t...
instruction
0
16,648
5
33,296
"Correct Solution: ``` N,M = map(int,input().split()) div = [] for i in range(2,int(M**(1/2))+2): cur = 0 while M%i==0: M//=i cur += 1 if cur >=1: div.append(cur) if M>1:div.append(1) div.sort() mod = 10**9+7 frac = [1]*(N+50) num=len(frac) for i in range(num-1): frac[i+1] = frac...
output
1
16,648
5
33,297
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, two sequences a' and a'' are considered different when t...
instruction
0
16,649
5
33,298
"Correct Solution: ``` n, m = map(int, input().split()) MOD = 1000000007 def comb(x, y): ret = 1 for a in range(x, x - y, -1): ret *= a for b in range(y, 0, -1): ret //= b return ret ans = 1 for i in range(2, 100000): if i > m:break cnt = 0 while m % i == 0: cnt += 1...
output
1
16,649
5
33,299
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, ...
instruction
0
16,650
5
33,300
Yes
output
1
16,650
5
33,301
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, ...
instruction
0
16,651
5
33,302
Yes
output
1
16,651
5
33,303
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, ...
instruction
0
16,652
5
33,304
Yes
output
1
16,652
5
33,305
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, ...
instruction
0
16,653
5
33,306
Yes
output
1
16,653
5
33,307
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, ...
instruction
0
16,654
5
33,308
No
output
1
16,654
5
33,309
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, ...
instruction
0
16,656
5
33,312
No
output
1
16,656
5
33,313
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given positive integers N and M. How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7. Here, ...
instruction
0
16,657
5
33,314
No
output
1
16,657
5
33,315
Provide a correct Python 3 solution for this coding contest problem. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3} Given R_1 and R_2, find R_3. Constraints ...
instruction
0
16,695
5
33,390
"Correct Solution: ``` #ライブラリインポート from collections import defaultdict #入力受け取り def getlist(): return list(map(int, input().split())) #処理内容 def main(): R1, R2 = getlist() ans = R1 * R2 / (R1 + R2) print(ans) if __name__ == '__main__': main() ```
output
1
16,695
5
33,391
Provide a correct Python 3 solution for this coding contest problem. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3} Given R_1 and R_2, find R_3. Constraints ...
instruction
0
16,696
5
33,392
"Correct Solution: ``` # -*- coding: utf-8 -*- import sys def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in ran...
output
1
16,696
5
33,393
Provide a correct Python 3 solution for this coding contest problem. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3} Given R_1 and R_2, find R_3. Constraints ...
instruction
0
16,697
5
33,394
"Correct Solution: ``` print(eval('1/'+input().replace(' ','+1/'))**-1) ```
output
1
16,697
5
33,395
Provide a correct Python 3 solution for this coding contest problem. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3} Given R_1 and R_2, find R_3. Constraints ...
instruction
0
16,698
5
33,396
"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**15 mod = 10**9+7 def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readl...
output
1
16,698
5
33,397
Provide a correct Python 3 solution for this coding contest problem. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3} Given R_1 and R_2, find R_3. Constraints ...
instruction
0
16,699
5
33,398
"Correct Solution: ``` a=list(map(int,input().split())) print(1/(1/a[0]+1/a[1])) ```
output
1
16,699
5
33,399
Provide a correct Python 3 solution for this coding contest problem. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3} Given R_1 and R_2, find R_3. Constraints ...
instruction
0
16,700
5
33,400
"Correct Solution: ``` R1, R2 = map(int, input().split()) print(R1*R2/(R1+R2)) ```
output
1
16,700
5
33,401
Provide a correct Python 3 solution for this coding contest problem. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3} Given R_1 and R_2, find R_3. Constraints ...
instruction
0
16,701
5
33,402
"Correct Solution: ``` n,m=map(float,input().split()) print(n*m/(n+m)) ```
output
1
16,701
5
33,403
Provide a correct Python 3 solution for this coding contest problem. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3} Given R_1 and R_2, find R_3. Constraints ...
instruction
0
16,702
5
33,404
"Correct Solution: ``` R1,R2 = map(int,input().split()) R = 1/(1/R1 + 1/R2) print(R) ```
output
1
16,702
5
33,405
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \fra...
instruction
0
16,703
5
33,406
Yes
output
1
16,703
5
33,407
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \fra...
instruction
0
16,704
5
33,408
Yes
output
1
16,704
5
33,409
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \fra...
instruction
0
16,705
5
33,410
Yes
output
1
16,705
5
33,411
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \fra...
instruction
0
16,706
5
33,412
Yes
output
1
16,706
5
33,413
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \fra...
instruction
0
16,707
5
33,414
No
output
1
16,707
5
33,415
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \fra...
instruction
0
16,708
5
33,416
No
output
1
16,708
5
33,417
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \fra...
instruction
0
16,709
5
33,418
No
output
1
16,709
5
33,419
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula: * \frac{1}{R_1} + \frac{1}{R_2} = \fra...
instruction
0
16,710
5
33,420
No
output
1
16,710
5
33,421
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s(x) be sum of digits in decimal representation of positive integer x. Given two integers n and m, find some positive integers a and b such that * s(a) ≥ n, * s(b) ≥ n, * s(a + b) ...
instruction
0
16,838
5
33,676
Yes
output
1
16,838
5
33,677
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s(x) be sum of digits in decimal representation of positive integer x. Given two integers n and m, find some positive integers a and b such that * s(a) ≥ n, * s(b) ≥ n, * s(a + b) ...
instruction
0
16,842
5
33,684
No
output
1
16,842
5
33,685