message stringlengths 2 57.2k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 61 108k | cluster float64 22 22 | __index_level_0__ int64 122 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The intege... | instruction | 0 | 64,765 | 22 | 129,530 |
"Correct Solution:
```
ps = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, ... | output | 1 | 64,765 | 22 | 129,531 |
Provide a correct Python 3 solution for this coding contest problem.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The intege... | instruction | 0 | 64,766 | 22 | 129,532 |
"Correct Solution:
```
import math
primes = []
for p in range(2,10001):
for m in range(2,math.floor(math.sqrt(p)) + 1):
if p % m == 0:
break
else:
primes.append(p)
targ = int(input())
while targ != 0:
ans = 0
for p in range(len(primes)):
if primes[p] > targ:
... | output | 1 | 64,766 | 22 | 129,533 |
Provide a correct Python 3 solution for this coding contest problem.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The intege... | instruction | 0 | 64,767 | 22 | 129,534 |
"Correct Solution:
```
primes = [0, 0] + [1]*9999
for i in range(2, 101):
if primes[i]:
for j in range(i*i, 10001, i):
primes[j] = 0
while True:
n = int(input())
if n == 0:
break
m = n
while not primes[m]:
m -= 1
pnum = [i for i in range(m+1) if primes[i]]
... | output | 1 | 64,767 | 22 | 129,535 |
Provide a correct Python 3 solution for this coding contest problem.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The intege... | instruction | 0 | 64,768 | 22 | 129,536 |
"Correct Solution:
```
# エラトステネスの篩
def Eratosthenes(N):
ans = [True for i in range(N + 1)]
ans[0], ans[1] = False, False
for i in range(int(N ** (1 / 2)) + 1):
if ans[i]:
for j in range(2 * i, N, i):
ans[j] = False
return [i for i in range(N + 1) if ans[i]]
... | output | 1 | 64,768 | 22 | 129,537 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two... | instruction | 0 | 64,769 | 22 | 129,538 |
Yes | output | 1 | 64,769 | 22 | 129,539 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two... | instruction | 0 | 64,770 | 22 | 129,540 |
Yes | output | 1 | 64,770 | 22 | 129,541 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two... | instruction | 0 | 64,771 | 22 | 129,542 |
Yes | output | 1 | 64,771 | 22 | 129,543 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two... | instruction | 0 | 64,772 | 22 | 129,544 |
Yes | output | 1 | 64,772 | 22 | 129,545 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two... | instruction | 0 | 64,773 | 22 | 129,546 |
No | output | 1 | 64,773 | 22 | 129,547 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two... | instruction | 0 | 64,774 | 22 | 129,548 |
No | output | 1 | 64,774 | 22 | 129,549 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two... | instruction | 0 | 64,775 | 22 | 129,550 |
No | output | 1 | 64,775 | 22 | 129,551 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two... | instruction | 0 | 64,776 | 22 | 129,552 |
No | output | 1 | 64,776 | 22 | 129,553 |
Provide tags and a correct Python 2 solution for this coding contest problem.
Chouti is working on a strange math problem.
There was a sequence of n positive integers x_1, x_2, …, x_n, where n is even. The sequence was very special, namely for every integer t from 1 to n, x_1+x_2+...+x_t is a square of some integer n... | instruction | 0 | 64,849 | 22 | 129,698 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
raw_input = stdin.readline
pr = stdout.write
def in_arr():
return map(int,raw_input().split())... | output | 1 | 64,849 | 22 | 129,699 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Chouti is working on a strange math problem.
There was a sequence of n positive integers x_1, x_2, …, x_n, where n is even. The sequence was very special, namely for every integer t from 1 to n, x_1+x_2+...+x_t is a square of some integer n... | instruction | 0 | 64,850 | 22 | 129,700 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
import math
def completar_lista(lista,n):
X=[]
s=0
cadena = ''
for x in lista:
parar = True
for div1 in range(int(math.sqrt(x)),0,-1):
if x%div1 == 0:
div... | output | 1 | 64,850 | 22 | 129,701 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Chouti is working on a strange math problem.
There was a sequence of n positive integers x_1, x_2, …, x_n, where n is even. The sequence was very special, namely for every integer t from 1 to n, x_1+x_2+...+x_t is a square of some integer n... | instruction | 0 | 64,851 | 22 | 129,702 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
import sys
import math
n=int(input())
A=list(map(int,input().split()))
ANS=[None]*(n//2+1)
ANS[0]=[0,0]
for i in range(n//2):
NEXT=[]
#x**2=?
#y**2=A[i//2]
z=A[i]
xr=math.ceil(math.sqrt(z))... | output | 1 | 64,851 | 22 | 129,703 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Chouti is working on a strange math problem.
There was a sequence of n positive integers x_1, x_2, …, x_n, where n is even. The sequence was very special, namely for every integer t from 1 to n, x_1+x_2+...+x_t is a square of some integer n... | instruction | 0 | 64,852 | 22 | 129,704 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
n=int(input())//2
s=list(map(int,input().split()))
sqs=[0]*(2*n+2)
sqs[-1]=sqs[-2]=999999999999999999
for i in range(n-1,-1,-1):
N=s[i]
d=1
sqi=sqi_1=-1
while d*d<=N:
if(N%d==0):
f=N//d
... | output | 1 | 64,852 | 22 | 129,705 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Chouti is working on a strange math problem.
There was a sequence of n positive integers x_1, x_2, …, x_n, where n is even. The sequence was very special, namely for every integer t from 1 to n, x_1+x_2+...+x_t is a square of some integer n... | instruction | 0 | 64,853 | 22 | 129,706 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
#!/usr/bin/env python
"""
This file is part of https://github.com/Cheran-Senthil/PyRival.
Copyright 2018 Cheran Senthilkumar all rights reserved,
Cheran Senthilkumar <hello@cheran.io>
Permission to use, modify, and distribu... | output | 1 | 64,853 | 22 | 129,707 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Chouti is working on a strange math problem.
There was a sequence of n positive integers x_1, x_2, …, x_n, where n is even. The sequence was very special, namely for every integer t from 1 to n, x_1+x_2+...+x_t is a square of some integer n... | instruction | 0 | 64,854 | 22 | 129,708 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
import math
n=int(input())
a=list(map(int,input().split()))
r=lambda y:int(math.sqrt(y))
def R(x):
y=r(x)
return y*y==x
z=0
b=[]
for i in a:
f=0
for q in range(r(z)+1,3160000):
y=q*q-z;
if R(q*q+i):
b+=[y,i];z+=i+... | output | 1 | 64,854 | 22 | 129,709 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Chouti is working on a strange math problem.
There was a sequence of n positive integers x_1, x_2, …, x_n, where n is even. The sequence was very special, namely for every integer t from 1 to n, x_1+x_2+...+x_t is a square of some integer n... | instruction | 0 | 64,855 | 22 | 129,710 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
import math
def completar_lista(lista,n):
X=[]
s=0
cadena = ''
for x in lista:
if x%2==0 and x%4!=0:
return None
parar = True
for div1 in range(int(math.sqrt(x)),0,-1):
... | output | 1 | 64,855 | 22 | 129,711 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Chouti is working on a strange math problem.
There was a sequence of n positive integers x_1, x_2, …, x_n, where n is even. The sequence was very special, namely for every integer t from 1 to n, x_1+x_2+...+x_t is a square of some integer n... | instruction | 0 | 64,856 | 22 | 129,712 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
from sys import stdin,stdout
from itertools import combinations
from collections import defaultdict,OrderedDict
import math
import heapq
def listIn():
return list((map(int,stdin.readline().strip().split())))
def string... | output | 1 | 64,856 | 22 | 129,713 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Chouti is working on a strange math problem.
There was a sequence of n positive integers x_1, x_2, …, x_n, where n is even. The sequence was very special, namely for every integer t from 1 to n, x_1+x_2+...+x_t is a square of some integer n... | instruction | 0 | 64,857 | 22 | 129,714 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
'''
Auther: ghoshashis545 Ashis Ghosh
College: jalpaiguri Govt Enggineering College
Date:10/06/2020
'''
from os import path
import sys
from functools import cmp_to_key as ctk
from collections import deque,defaul... | output | 1 | 64,857 | 22 | 129,715 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, zero) number of times, you can even perform this... | instruction | 0 | 64,975 | 22 | 129,950 |
Tags: brute force, math
Correct Solution:
```
import string
from collections import defaultdict,Counter
from math import sqrt, log10, log2, log, gcd, ceil, floor,factorial
from bisect import bisect_left, bisect_right
from itertools import permutations,combinations_with_replacement
import sys,io,os;
input=sys.stdin.read... | output | 1 | 64,975 | 22 | 129,951 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, zero) number of times, you can even perform this... | instruction | 0 | 64,976 | 22 | 129,952 |
Tags: brute force, math
Correct Solution:
```
import math
maxx=15000
for _ in range(int(input())):
a,b,c=map(int,input().split())
xa=xb=xc=0
ans=math.inf
for i in range(1,maxx+1):
for j in range(i,maxx+1,i):
for k in range(j,maxx+1,j):
if(abs(a-i)+abs(b-j)+abs(c-k)<an... | output | 1 | 64,976 | 22 | 129,953 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, zero) number of times, you can even perform this... | instruction | 0 | 64,977 | 22 | 129,954 |
Tags: brute force, math
Correct Solution:
```
t = int(input())
for _ in range(t):
a,b,c = map(int,input().split())
cnt = 10**9
A,B,C = a,b,c
for i in range(1,2*a+1):
for j in range(i,2*b+1,i):
cc = (c//j) * j
if c-cc > cc+j-c:
cc = cc+j
if abs(... | output | 1 | 64,977 | 22 | 129,955 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, zero) number of times, you can even perform this... | instruction | 0 | 64,978 | 22 | 129,956 |
Tags: brute force, math
Correct Solution:
```
#! /usr/bin/python3
import os
import sys
from io import BytesIO, IOBase
from itertools import accumulate
def main():
for _ in range(int(input())):
a, b, c = map(int, input().split())
ans = float("inf")
for i in range(1, 20000):
for... | output | 1 | 64,978 | 22 | 129,957 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, zero) number of times, you can even perform this... | instruction | 0 | 64,979 | 22 | 129,958 |
Tags: brute force, math
Correct Solution:
```
import random, math
from copy import deepcopy as dc
from bisect import bisect_left, bisect_right
# Function to call the actual solution
def solution(a, b, c):
fin = float('inf')
A, B, C = 0, 0, 0
for i in range(1, 11000):
for j in range(i, 11000, i):
a_f = i + 1 -... | output | 1 | 64,979 | 22 | 129,959 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, zero) number of times, you can even perform this... | instruction | 0 | 64,980 | 22 | 129,960 |
Tags: brute force, math
Correct Solution:
```
from math import factorial
from collections import Counter
from heapq import heapify, heappop, heappush
import os
import sys
from io import BytesIO, IOBase
# region fastio
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._f... | output | 1 | 64,980 | 22 | 129,961 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, zero) number of times, you can even perform this... | instruction | 0 | 64,981 | 22 | 129,962 |
Tags: brute force, math
Correct Solution:
```
import math
for _ in range(int(input())):
a,b,c=map(int,input().split())
minn=math.inf
for i in range(1,2*a+1):
for j in range(i,2*b+1,i):
for k in range(2):
cC=j*(c//j)+k*j
ans=abs(i-a)+abs(j-b)+abs(cC-c)
... | output | 1 | 64,981 | 22 | 129,963 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, zero) number of times, you can even perform this... | instruction | 0 | 64,982 | 22 | 129,964 |
Tags: brute force, math
Correct Solution:
```
t=int(input())
for _ in range(t):
a, b, c=map(int, input().split())
ans=[0,0,0]
m=9999999999
for i in range(1, 10500):
for j in range(i, 10500, i):
for k in range(j, 10500, j):
if m>abs(a-i)+abs(b-j)+abs(c-k):
... | output | 1 | 64,982 | 22 | 129,965 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, z... | instruction | 0 | 64,983 | 22 | 129,966 |
Yes | output | 1 | 64,983 | 22 | 129,967 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, z... | instruction | 0 | 64,984 | 22 | 129,968 |
Yes | output | 1 | 64,984 | 22 | 129,969 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, z... | instruction | 0 | 64,985 | 22 | 129,970 |
Yes | output | 1 | 64,985 | 22 | 129,971 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, z... | instruction | 0 | 64,986 | 22 | 129,972 |
Yes | output | 1 | 64,986 | 22 | 129,973 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, z... | instruction | 0 | 64,987 | 22 | 129,974 |
No | output | 1 | 64,987 | 22 | 129,975 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, z... | instruction | 0 | 64,988 | 22 | 129,976 |
No | output | 1 | 64,988 | 22 | 129,977 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, z... | instruction | 0 | 64,989 | 22 | 129,978 |
No | output | 1 | 64,989 | 22 | 129,979 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a ≤ b ≤ c.
In one move, you can add +1 or -1 to any of these integers (i.e. increase or decrease any number by one). You can perform such operation any (possibly, z... | instruction | 0 | 64,990 | 22 | 129,980 |
No | output | 1 | 64,990 | 22 | 129,981 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya's got a birthday coming up and his mom decided to give him an array of positive integers a of length n.
Vasya thinks that an array's beauty is the greatest common divisor of all its elements. His mom, of course, wants to give him as b... | instruction | 0 | 65,148 | 22 | 130,296 |
Tags: brute force, dp, number theory
Correct Solution:
```
import sys
line = sys.stdin.readline()
n, k = [int(i) for i in line.split()]
line = sys.stdin.readline()
_min = int(1e7)
_max = 0
accum = [0] * int(1e6+2)
for i in line.split():
j = int(i)
accum[j]+=1
if j > _max:
_max = j
if j < _min:
... | output | 1 | 65,148 | 22 | 130,297 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya's got a birthday coming up and his mom decided to give him an array of positive integers a of length n.
Vasya thinks that an array's beauty is the greatest common divisor of all its elements. His mom, of course, wants to give him as b... | instruction | 0 | 65,149 | 22 | 130,298 |
Tags: brute force, dp, number theory
Correct Solution:
```
n, k = map(int, input().split())
t = set(map(int, input().split()))
y = x = min(t)
t = list(t)
while True:
for i in t:
if i % x > k: x = i // (i // x + 1)
if y == x: break
y = x
print(y)
# Made By Mostafa_Khaled
``` | output | 1 | 65,149 | 22 | 130,299 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya's got a birthday coming up and his mom decided to give him an array of positive integers a of length n.
Vasya thinks that an array's beauty is the greatest common divisor of all its elements. His mom, of course, wants to give him as b... | instruction | 0 | 65,150 | 22 | 130,300 |
Tags: brute force, dp, number theory
Correct Solution:
```
import sys
line = sys.stdin.readline()
n, k = [int(i) for i in line.split()]
line = sys.stdin.readline()
_min = int(1e7)
_max = 0
accum = [0] * int(1e6+2)
for i in line.split():
j = int(i)
accum[j]+=1
if j > _max:
_max = j
if j < _min:
... | output | 1 | 65,150 | 22 | 130,301 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya's got a birthday coming up and his mom decided to give him an array of positive integers a of length n.
Vasya thinks that an array's beauty is the greatest common divisor of all its elements. His mom, of course, wants to give him as b... | instruction | 0 | 65,151 | 22 | 130,302 |
Tags: brute force, dp, number theory
Correct Solution:
```
n,k=map(int,input().split())
t=set(map(int,input().split()))
y=x=min(t)
t=list(t)
while True:
for i in t:
if i%x>k:x=i//(i//x+1)
if y==x:break
y=x
print(y)
``` | output | 1 | 65,151 | 22 | 130,303 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya's got a birthday coming up and his mom decided to give him an array of positive integers a of length n.
Vasya thinks that an array's beauty is the greatest common divisor of all its elements. His mom, of course, wants to give him as b... | instruction | 0 | 65,152 | 22 | 130,304 |
Tags: brute force, dp, number theory
Correct Solution:
```
import sys
line = sys.stdin.readline()
n, k = [int(i) for i in line.split()]
line = sys.stdin.readline()
_min = int(1e7)
_max = 0
accum = [0] * int(1e6+2)
for i in line.split():
j = int(i)
accum[j]+=1
if j > _max:
_max = j
if j < _min:
... | output | 1 | 65,152 | 22 | 130,305 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today Pari and Arya are playing a game called Remainders.
Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <ima... | instruction | 0 | 65,265 | 22 | 130,530 |
Tags: chinese remainder theorem, math, number theory
Correct Solution:
```
import sys, math
input = sys.stdin.readline
def getInts():
return [int(s) for s in input().split()]
def getInt():
return int(input())
def getStrs():
return [s for s in input().split()]
def getStr():
return input().strip()
de... | output | 1 | 65,265 | 22 | 130,531 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today Pari and Arya are playing a game called Remainders.
Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <ima... | instruction | 0 | 65,266 | 22 | 130,532 |
Tags: chinese remainder theorem, math, number theory
Correct Solution:
```
import os
import sys
from io import BytesIO, IOBase
def main():
maxn = 10**6
maxn+=5
n,k = list(map(int,input().split()))
arr = list(map(int,input().split()))
prime = [0 for i in range(maxn+2)]
freq = [0 for i in range(... | output | 1 | 65,266 | 22 | 130,533 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today Pari and Arya are playing a game called Remainders.
Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <ima... | instruction | 0 | 65,267 | 22 | 130,534 |
Tags: chinese remainder theorem, math, number theory
Correct Solution:
```
import sys
ints = (int(x) for x in sys.stdin.read().split())
def sieve(N):
n = int((N**.5)+100)
is_prime = [1]*n
primes = []
div = [i for i in range(n)]
for i in (i for i in range(2, n) if is_prime[i]):
for j in range(i*i, n, i):
... | output | 1 | 65,267 | 22 | 130,535 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today Pari and Arya are playing a game called Remainders.
Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <ima... | instruction | 0 | 65,268 | 22 | 130,536 |
Tags: chinese remainder theorem, math, number theory
Correct Solution:
```
#prime factorize the k
import math
a=input().split(' ')
n=int(a[0])
k=int(a[1])
t=True
def gcd(a, b):
if b==0: return a
else: return gcd(b, a%b)
C=set(map(int, input().split()))
Composite=False
a=math.floor(math.sqrt(k+1))
if... | output | 1 | 65,268 | 22 | 130,537 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today Pari and Arya are playing a game called Remainders.
Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <ima... | instruction | 0 | 65,269 | 22 | 130,538 |
Tags: chinese remainder theorem, math, number theory
Correct Solution:
```
import sys
input = sys.stdin.buffer.readline
from math import gcd
def prog():
n,k = map(int,input().split())
nums = list(map(int,input().split()))
max_powers = 1
for num in nums:
max_powers = gcd(k, num*max_powers//gcd(nu... | output | 1 | 65,269 | 22 | 130,539 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today Pari and Arya are playing a game called Remainders.
Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <ima... | instruction | 0 | 65,270 | 22 | 130,540 |
Tags: chinese remainder theorem, math, number theory
Correct Solution:
```
from math import *
n,k=map(int,input().split())
arr=list(map(int,input().split()))
flag=0
if(k==1):
print('Yes')
else:
arr1=[]
temp=k
for i in range(2,k+1):
if(temp%i==0):
cnt=0
while(temp%i==0):
... | output | 1 | 65,270 | 22 | 130,541 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today Pari and Arya are playing a game called Remainders.
Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <ima... | instruction | 0 | 65,271 | 22 | 130,542 |
Tags: chinese remainder theorem, math, number theory
Correct Solution:
```
import sys
input=sys.stdin.readline
import math
n, k = map(int, input().split())
a = 1;
ar = list(map(int, input().split()))
for c in ar:
a *= math.gcd(k,c)//math.gcd(a,c)
#print(a,c)
if a==k:
print("Yes")
else:
print("No")
``` | output | 1 | 65,271 | 22 | 130,543 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today Pari and Arya are playing a game called Remainders.
Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <ima... | instruction | 0 | 65,272 | 22 | 130,544 |
Tags: chinese remainder theorem, math, number theory
Correct Solution:
```
#prime factorize the k
import math
a=input().split(' ')
n=int(a[0])
k=int(a[1])
t=True
def gcd(a, b):
if b==0: return a
else: return gcd(b, a%b)
C=set(map(int, input().split()))
Composite=False
a=math.floor(math.sqrt(k+1))
if k%2==0: Compos... | output | 1 | 65,272 | 22 | 130,545 |
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