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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention an...
instruction
0
52,490
22
104,980
No
output
1
52,490
22
104,981
Provide tags and a correct Python 3 solution for this coding contest problem. Mashmokh's boss, Bimokh, didn't like Mashmokh. So he fired him. Mashmokh decided to go to university and participate in ACM instead of finding a new job. He wants to become a member of Bamokh's team. In order to join he was given some progra...
instruction
0
52,560
22
105,120
Tags: combinatorics, dp, number theory Correct Solution: ``` import math from collections import defaultdict MOD = 10**9 + 7 def printDivisors(n) : i = 1 Factors = [] while i <= math.sqrt(n): if (n % i == 0) : if (n / i == i) : Factors.append(i) ...
output
1
52,560
22
105,121
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mashmokh's boss, Bimokh, didn't like Mashmokh. So he fired him. Mashmokh decided to go to university and participate in ACM instead of finding a new job. He wants to become a member of Bamokh's ...
instruction
0
52,569
22
105,138
No
output
1
52,569
22
105,139
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three integers k, pa and pb. You will construct a sequence with the following algorithm: Initially, start with the empty sequence. Each second, you do the following. With probability pa / (pa + pb), add 'a' to the end of the s...
instruction
0
52,790
22
105,580
Tags: dp, math, probabilities Correct Solution: ``` from collections import defaultdict as di import sys sys.setreqursiondepth = 1000000 MOD = int(1e9+7) def modinvEuler(x,mod): # if mod is prime return pow(x, mod-2, mod) # otherwise exponent should be totient(mod)-1 k,pa,pb = [int(x) for x in input().spli...
output
1
52,790
22
105,581
Provide a correct Python 3 solution for this coding contest problem. We will define Ginkgo numbers and multiplication on Ginkgo numbers. A Ginkgo number is a pair <m, n> where m and n are integers. For example, <1, 1>, <-2, 1> and <-3,-1> are Ginkgo numbers. The multiplication on Ginkgo numbers is defined by <m, n> ...
instruction
0
53,009
22
106,018
"Correct Solution: ``` for _ in range(int(input())): p,q=map(int,input().split()) c=0 for i in range(142): for j in range(142): if (i>0 or j>0)and(j*p+i*q)%(j*j+i*i)==0 and (j*q-i*p)%(j*j+i*i)==0:c+=1 print('P' if c<5 else 'C') ```
output
1
53,009
22
106,019
Provide a correct Python 3 solution for this coding contest problem. We will define Ginkgo numbers and multiplication on Ginkgo numbers. A Ginkgo number is a pair <m, n> where m and n are integers. For example, <1, 1>, <-2, 1> and <-3,-1> are Ginkgo numbers. The multiplication on Ginkgo numbers is defined by <m, n> ...
instruction
0
53,010
22
106,020
"Correct Solution: ``` for i in range(int(input())): m, n = map(int, input().split()) if m*n < 0: m, n = -n, m m = abs(m); n = abs(n) l = max(abs(m), abs(n)) cnt = 0 for p in range(l+1): for q in range(l+1): if p == 0: continue if (p*m + q*n) % (p**2 + q*...
output
1
53,010
22
106,021
Provide a correct Python 3 solution for this coding contest problem. We will define Ginkgo numbers and multiplication on Ginkgo numbers. A Ginkgo number is a pair <m, n> where m and n are integers. For example, <1, 1>, <-2, 1> and <-3,-1> are Ginkgo numbers. The multiplication on Ginkgo numbers is defined by <m, n> ...
instruction
0
53,011
22
106,022
"Correct Solution: ``` for _ in range(int(input())): p,q=map(int,input().split()) c=0 for i in range(143): for j in range(143): if (i>0 or j>0)and(j*p+i*q)%(j*j+i*i)==0 and (j*q-i*p)%(j*j+i*i)==0:c+=1 print('P' if c<5 else 'C') ```
output
1
53,011
22
106,023
Provide a correct Python 3 solution for this coding contest problem. We will define Ginkgo numbers and multiplication on Ginkgo numbers. A Ginkgo number is a pair <m, n> where m and n are integers. For example, <1, 1>, <-2, 1> and <-3,-1> are Ginkgo numbers. The multiplication on Ginkgo numbers is defined by <m, n> ...
instruction
0
53,012
22
106,024
"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 dd = [(0,-1),(1,0),(0,1),(-1,0)] ddn = [(0,-1),(1,-1),(1,0),(1,1),(0,1),(-1,-1),(-1,0),(-1,1)] def LI(): return [i...
output
1
53,012
22
106,025
Provide a correct Python 3 solution for this coding contest problem. We will define Ginkgo numbers and multiplication on Ginkgo numbers. A Ginkgo number is a pair <m, n> where m and n are integers. For example, <1, 1>, <-2, 1> and <-3,-1> are Ginkgo numbers. The multiplication on Ginkgo numbers is defined by <m, n> ...
instruction
0
53,013
22
106,026
"Correct Solution: ``` def divisor(a): ret = [] for i in range(1, int(a ** 0.5) + 1): if not a % i: ret.append(i) ret.append(a // i) return ret def make_lists(): ret = [[] for i in range(20000)] for i in range(0, int(20000 ** 0.5) + 1): for j in range(0...
output
1
53,013
22
106,027
Provide a correct Python 3 solution for this coding contest problem. We will define Ginkgo numbers and multiplication on Ginkgo numbers. A Ginkgo number is a pair <m, n> where m and n are integers. For example, <1, 1>, <-2, 1> and <-3,-1> are Ginkgo numbers. The multiplication on Ginkgo numbers is defined by <m, n> ...
instruction
0
53,014
22
106,028
"Correct Solution: ``` for i in range(int(input())): m, n = map(int, input().split()) count = 0 for p in range(142): for q in range(142): if p == q == 0: continue pq = p * p + q * q if pq > 20000: break if (m * p + n *...
output
1
53,014
22
106,029
Provide a correct Python 3 solution for this coding contest problem. We will define Ginkgo numbers and multiplication on Ginkgo numbers. A Ginkgo number is a pair <m, n> where m and n are integers. For example, <1, 1>, <-2, 1> and <-3,-1> are Ginkgo numbers. The multiplication on Ginkgo numbers is defined by <m, n> ...
instruction
0
53,015
22
106,030
"Correct Solution: ``` #!/usr/bin/env python # -*- coding: utf-8 -*- """ Problems 1325 Problem A: Ginkgo Numbers """ for _ in range(int(input())): m, n = map(int,input().split()) count = 0 for p in range(142): for q in range(142): if (p > 0 or q > 0) and ((m*q + n*p) % (p*p + q*q) == 0) ...
output
1
53,015
22
106,031
Provide a correct Python 3 solution for this coding contest problem. B: Twice as own problem You will be given Q queries. Since one positive integer N is given for each query, find the number of positive integers M that satisfy the following two conditions. * 2 Satisfy \ leq M \ leq N * Of the divisors of M, exclud...
instruction
0
53,034
22
106,068
"Correct Solution: ``` Q = int(input()) N = list(int(input()) for i in range(Q)) m = [0]*(max(N)+1) N_max = max(N) r = 320 for i in range(2,r): for j in range(2,r): for k in range(2,100000//(i*j)+1): if i*j*k < N_max+1 and (i!=j or j!=k or k!=i): m[i*j*k] = 1 for i in range(1,len...
output
1
53,034
22
106,069
Provide a correct Python 3 solution for this coding contest problem. B: Twice as own problem You will be given Q queries. Since one positive integer N is given for each query, find the number of positive integers M that satisfy the following two conditions. * 2 Satisfy \ leq M \ leq N * Of the divisors of M, exclud...
instruction
0
53,035
22
106,070
"Correct Solution: ``` import math def get_sieve_of_eratosthenes(n): if not isinstance(n, int): raise TypeError('n is int type.') if n < 2: raise ValueError('n is more than 2') prime = [] limit = math.sqrt(n) data = [i + 1 for i in range(1, n)] while True: p = data[0] ...
output
1
53,035
22
106,071
Provide a correct Python 3 solution for this coding contest problem. B: Twice as own problem You will be given Q queries. Since one positive integer N is given for each query, find the number of positive integers M that satisfy the following two conditions. * 2 Satisfy \ leq M \ leq N * Of the divisors of M, exclud...
instruction
0
53,036
22
106,072
"Correct Solution: ``` #import sys #input = sys.stdin.readline def eratosthenes(N): from collections import deque work = [True] * (N+1) work[0] = False work[1] = False ret = [] for i in range(N+1): if work[i]: ret.append(i) for j in range(2* i, N+1, i): ...
output
1
53,036
22
106,073
Provide a correct Python 3 solution for this coding contest problem. B: Twice as own problem You will be given Q queries. Since one positive integer N is given for each query, find the number of positive integers M that satisfy the following two conditions. * 2 Satisfy \ leq M \ leq N * Of the divisors of M, exclud...
instruction
0
53,037
22
106,074
"Correct Solution: ``` import bisect MAX_N=2*10**5 isdmore5=[1 for i in range(MAX_N+1)] isprime=[1 for i in range(MAX_N+1)] i=2 isprime[0]=0;isprime[1]=0 isdmore5[0]=0;isdmore5[1]=0 while(i*i<=MAX_N): if isprime[i]!=0: for j in range(2*i,MAX_N+1,i): isprime[j]=0 i+=1 prime=[] for i in range(...
output
1
53,037
22
106,075
Provide a correct Python 3 solution for this coding contest problem. B: Twice as own problem You will be given Q queries. Since one positive integer N is given for each query, find the number of positive integers M that satisfy the following two conditions. * 2 Satisfy \ leq M \ leq N * Of the divisors of M, exclud...
instruction
0
53,038
22
106,076
"Correct Solution: ``` # -*- coding: utf-8 -*- from itertools import product, accumulate from math import gcd from bisect import bisect import sys from sys import setrecursionlimit setrecursionlimit(10**9) input = sys.stdin.readline def inpl(): return list(map(int, input().split())) def primes(N): sieve = [1]*(N+1...
output
1
53,038
22
106,077
Provide tags and a correct Python 3 solution for this coding contest problem. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer k is...
instruction
0
53,539
22
107,078
Tags: greedy, implementation, math, number theory Correct Solution: ``` n = int(input()) if n&1: print((n-3)//2+1) n-=3 for i in range(n//2): print(2,end=' ') print(3) else: print(n//2) for i in range(n//2): print(2,end=' ') ```
output
1
53,539
22
107,079
Provide tags and a correct Python 3 solution for this coding contest problem. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer k is...
instruction
0
53,540
22
107,080
Tags: greedy, implementation, math, number theory Correct Solution: ``` n = int(input()) if n % 2 == 0: print(n // 2) s = '' for i in range(n // 2 - 1): s += '2 ' s += '2' print(s) else: print(n // 2) s = '' for i in range(n // 2 - 1): s += '2 ' s += '3' print(s) ...
output
1
53,540
22
107,081
Provide tags and a correct Python 3 solution for this coding contest problem. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer k is...
instruction
0
53,541
22
107,082
Tags: greedy, implementation, math, number theory Correct Solution: ``` n = int(input()) print(n//2) if n%2: print(3,end= ' ') n -= 3 while n: print(2,end=' ') n -= 2 ```
output
1
53,541
22
107,083
Provide tags and a correct Python 3 solution for this coding contest problem. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer k is...
instruction
0
53,542
22
107,084
Tags: greedy, implementation, math, number theory Correct Solution: ``` n=int(input()) if n%2==0: print(int(n/2)) for i in range(int(n/2)): print(2) else: print(int((n-3)/2+1)) for i in range(int((n-3)/2)): print(2) print(3) ```
output
1
53,542
22
107,085
Provide tags and a correct Python 3 solution for this coding contest problem. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer k is...
instruction
0
53,543
22
107,086
Tags: greedy, implementation, math, number theory Correct Solution: ``` import sys input = sys.stdin.readline n=int(input()) if n%2 == 0: ans1 = n//2 ans2 = [2]*ans1 else: ans1=n//2 ans2 = [2]*(ans1-1) ans2.append(3) print(ans1) print(*ans2) ```
output
1
53,543
22
107,087
Provide tags and a correct Python 3 solution for this coding contest problem. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer k is...
instruction
0
53,544
22
107,088
Tags: greedy, implementation, math, number theory Correct Solution: ``` x = int(input()) print(int(x/2)) for i in range(int(x/2)-1): print(2, end=" ") print([2,3][x%2]) ```
output
1
53,544
22
107,089
Provide tags and a correct Python 3 solution for this coding contest problem. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer k is...
instruction
0
53,545
22
107,090
Tags: greedy, implementation, math, number theory Correct Solution: ``` n = int(input()) if n % 2 == 0: print(n // 2) print('2 ' * (n // 2)) else: print((n - 3) // 2 + 1) print('3 ' + (n - 3) // 2 * '2 ') ```
output
1
53,545
22
107,091
Provide tags and a correct Python 3 solution for this coding contest problem. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer k is...
instruction
0
53,546
22
107,092
Tags: greedy, implementation, math, number theory Correct Solution: ``` #Code by Sounak, IIESTS #------------------------------warmup---------------------------- import os import sys import math from io import BytesIO, IOBase from fractions import Fraction from collections import defaultdict BUFSIZE = 8192 clas...
output
1
53,546
22
107,093
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any in...
instruction
0
53,547
22
107,094
Yes
output
1
53,547
22
107,095
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any in...
instruction
0
53,548
22
107,096
Yes
output
1
53,548
22
107,097
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any in...
instruction
0
53,549
22
107,098
Yes
output
1
53,549
22
107,099
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any in...
instruction
0
53,550
22
107,100
Yes
output
1
53,550
22
107,101
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any in...
instruction
0
53,551
22
107,102
No
output
1
53,551
22
107,103
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any in...
instruction
0
53,552
22
107,104
No
output
1
53,552
22
107,105
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any in...
instruction
0
53,553
22
107,106
No
output
1
53,553
22
107,107
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bachgold problem is very easy to formulate. Given a positive integer n represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any in...
instruction
0
53,554
22
107,108
No
output
1
53,554
22
107,109
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
53,621
22
107,242
Tags: math Correct Solution: ``` p, k = map(int, input().split()) if p < k: print(1) print(p) else: ans = [p] cur = p while cur < 0 or cur >= k: cur = - (cur // k) ans.append(cur) arr = [] for i in range(1, len(ans)): arr.append(str(k*ans[i]+ans[i-1])) a...
output
1
53,621
22
107,243
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
53,622
22
107,244
Tags: math Correct Solution: ``` p,k = map(int,input().split()) a = [] while p != 0: t = p % k a.append(t) p = -((p-t)//k) print(len(a)) a = list(map(str,a)) print(' '.join(a)) ```
output
1
53,622
22
107,245
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
53,623
22
107,246
Tags: math Correct Solution: ``` def solve(n, k): if n == 0: return [] x = n%k return [x] + solve(-(n-x)//k, k) n, k = map(int, input().split()) a = solve(n, k) print(len(a)) print(*a) ```
output
1
53,623
22
107,247
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
53,624
22
107,248
Tags: math Correct Solution: ``` s = input() # s = '46 2' p, k = list(map(int, s.split())) res = [] f = True while p != 0: if f: n = p % k m = (p - n) // k f = False else: n = (-p) % k m = (p + n) // k f = True res.append(n) p = m print(len(res)) print(...
output
1
53,624
22
107,249
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
53,625
22
107,250
Tags: math Correct Solution: ``` l = [] def f(p, k): if p == 0: return r = p % k q = (p-r)//(-k) l.append(r) f(q, k) p, k = map(int, input().split()) f(p, k) print(len(l)) print(*l) ```
output
1
53,625
22
107,251
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
53,626
22
107,252
Tags: math Correct Solution: ``` p, k = map(int, input().split()) a = '' cnt = 0 while p != 0: cnt += 1 a += str(p % k) + ' ' p -= p % k p //= -k print(cnt) print(a) ```
output
1
53,626
22
107,253
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
53,627
22
107,254
Tags: math Correct Solution: ``` p, k = map(int, input().split()) r = [] while p: r.append(p % k) p = -(p // k) print(len(r)) print(*r, sep=' ') # Made By Mostafa_Khaled ```
output
1
53,627
22
107,255
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
53,628
22
107,256
Tags: math Correct Solution: ``` p, k = map(int, input().split()) t = [] while p: t.append(p % k) p = -(p // k) print(len(t), *t) ```
output
1
53,628
22
107,257
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
53,629
22
107,258
Yes
output
1
53,629
22
107,259
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
53,630
22
107,260
Yes
output
1
53,630
22
107,261
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
53,631
22
107,262
Yes
output
1
53,631
22
107,263
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
53,632
22
107,264
Yes
output
1
53,632
22
107,265
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
53,633
22
107,266
No
output
1
53,633
22
107,267
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
53,634
22
107,268
No
output
1
53,634
22
107,269
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
53,635
22
107,270
No
output
1
53,635
22
107,271
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
53,636
22
107,272
No
output
1
53,636
22
107,273
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads an integer n and prints the number of prime numbers which are less than or equal to n. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four pr...
instruction
0
53,805
22
107,610
"Correct Solution: ``` import sys import math M = 1000000 B = int(math.sqrt(M)+1) N = M//6 N1 = N+1 if M % 6 == 5 else N N2 = N+1 if M % 6 >= 1 else N l = [1] * N1 m = [1] * N2 for i in range(5,B,6): p = (i-5)//6 ini = (i*5-1)//6 if l[p] == 1: l[p+i::i] = [0] * len(l[p+i::i]) m[ini-1::i] = [...
output
1
53,805
22
107,611
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads an integer n and prints the number of prime numbers which are less than or equal to n. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four pr...
instruction
0
53,806
22
107,612
"Correct Solution: ``` import sys def primes(n): is_prime = [True] * (n + 1) is_prime[0] = False is_prime[1] = False for i in range(2, int(n**0.5) + 1): if not is_prime[i]: continue for j in range(i * 2, n + 1, i): is_prime[j] = False return [i for i in range...
output
1
53,806
22
107,613