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Provide tags and a correct Python 3 solution for this coding contest problem. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number n by all integers i fr...
instruction
0
13,062
22
26,124
Tags: brute force, number theory Correct Solution: ``` #! /usr/bin/env python3 import math import sys def lcm(u, v): return u * v // math.gcd(u, v) def main(): n, k = map(int, input().split()) m = 1 for i in range(1, k + 1): m = lcm(m, i) if m - 1 > n: print('No') ...
output
1
13,062
22
26,125
Provide tags and a correct Python 3 solution for this coding contest problem. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number n by all integers i fr...
instruction
0
13,063
22
26,126
Tags: brute force, number theory Correct Solution: ``` import os, sys from io import BytesIO, IOBase from math import sqrt,ceil,gcd,log2 BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in...
output
1
13,063
22
26,127
Provide tags and a correct Python 3 solution for this coding contest problem. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number n by all integers i fr...
instruction
0
13,064
22
26,128
Tags: brute force, number theory Correct Solution: ``` import bisect from itertools import accumulate, count import os import sys import math from decimal import * from io import BytesIO, IOBase from sys import maxsize BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): s...
output
1
13,064
22
26,129
Provide tags and a correct Python 3 solution for this coding contest problem. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number n by all integers i fr...
instruction
0
13,065
22
26,130
Tags: brute force, number theory Correct Solution: ``` n,k = map(int,input().split()) if k==1: print("Yes") elif n==1: if k<=2: print("Yes") else: print("No") elif k>=n: print("No") else: if n%2==0: print("No") else: ans=0 rem=[0]*(100010) ...
output
1
13,065
22
26,131
Provide tags and a correct Python 3 solution for this coding contest problem. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number n by all integers i fr...
instruction
0
13,066
22
26,132
Tags: brute force, number theory Correct Solution: ``` n, k = map(int, input().strip().split()) if k == 1: print('Yes') else: # k! - 1 must divide into n ''' prod = 1 count = 2 while prod < n: prod *= count if n % (prod - 1) == 0 and count >= k: #res = n // (prod...
output
1
13,066
22
26,133
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders...
instruction
0
13,067
22
26,134
Yes
output
1
13,067
22
26,135
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders...
instruction
0
13,068
22
26,136
Yes
output
1
13,068
22
26,137
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders...
instruction
0
13,069
22
26,138
Yes
output
1
13,069
22
26,139
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders...
instruction
0
13,070
22
26,140
Yes
output
1
13,070
22
26,141
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders...
instruction
0
13,071
22
26,142
No
output
1
13,071
22
26,143
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders...
instruction
0
13,072
22
26,144
No
output
1
13,072
22
26,145
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders...
instruction
0
13,073
22
26,146
No
output
1
13,073
22
26,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Imp is watching a documentary about cave painting. <image> Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders...
instruction
0
13,074
22
26,148
No
output
1
13,074
22
26,149
Provide tags and a correct Python 3 solution for this coding contest problem. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an even number. Bob is asked to divide those numbe...
instruction
0
13,343
22
26,686
Tags: greedy, implementation, math, sortings Correct Solution: ``` # -*- coding: utf-8 -*- """ Created on Tue Nov 13 20:48:59 2018 @author: """ n=int(input()) l=list(map(int,input().split())) l.sort() s=0 for i in range(n//2): s+=(l[i]+l[n-i-1])**2 print(s) ```
output
1
13,343
22
26,687
Provide tags and a correct Python 3 solution for this coding contest problem. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an even number. Bob is asked to divide those numbe...
instruction
0
13,344
22
26,688
Tags: greedy, implementation, math, sortings Correct Solution: ``` n=int(input()) s=list(map(int,input().split())) s.sort() m=list(reversed(s)) sum=0 for i in range(n//2): sum+=(s[i]+m[i])**2 print(sum) ```
output
1
13,344
22
26,689
Provide tags and a correct Python 3 solution for this coding contest problem. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an even number. Bob is asked to divide those numbe...
instruction
0
13,345
22
26,690
Tags: greedy, implementation, math, sortings Correct Solution: ``` n=int(input()) a=[int(s) for s in input().split(' ')] a.sort() min_sum=0 for i in range(len(a)): min_sum+=(a[i]+a[n-1-i])**2 print(int(min_sum/2)) ```
output
1
13,345
22
26,691
Provide tags and a correct Python 3 solution for this coding contest problem. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an even number. Bob is asked to divide those numbe...
instruction
0
13,346
22
26,692
Tags: greedy, implementation, math, sortings Correct Solution: ``` n = int(input()) l = list(map(int, input().split())) l.sort() o = 0 a = 0 for i in range(n // 2): a = l[i] + l[- (i + 1)] o += a * a print(o) ```
output
1
13,346
22
26,693
Provide tags and a correct Python 3 solution for this coding contest problem. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an even number. Bob is asked to divide those numbe...
instruction
0
13,347
22
26,694
Tags: greedy, implementation, math, sortings Correct Solution: ``` n = int(input()) #n, m = map(int, input().split()) arr = sorted(map(int, input().split())) s = 0 for i in range(len(arr)//2): s += (arr[i]+arr[(-i-1)]) ** 2 print(s) ```
output
1
13,347
22
26,695
Provide tags and a correct Python 3 solution for this coding contest problem. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an even number. Bob is asked to divide those numbe...
instruction
0
13,348
22
26,696
Tags: greedy, implementation, math, sortings Correct Solution: ``` n=int(input()) s=input() a=s.split(" ") a=list(map(int,a)) a.sort() out=list() for i in range(int(n/2)): s=int(a[i]+a[n-i-1]) out.append(s) if n%2!=0: out[int(len(out)-1)]=out[int(len(out)-1)]+a[int(n/2)] output=0 for i in range(len(out)): ...
output
1
13,348
22
26,697
Provide tags and a correct Python 3 solution for this coding contest problem. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an even number. Bob is asked to divide those numbe...
instruction
0
13,349
22
26,698
Tags: greedy, implementation, math, sortings Correct Solution: ``` n = int(input()) seq = sorted(list(map(int, input().split()))) ans = 0 for i in range(n // 2): ans += (seq[i] + seq[-(i + 1)])**2 print(ans) ```
output
1
13,349
22
26,699
Provide tags and a correct Python 3 solution for this coding contest problem. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an even number. Bob is asked to divide those numbe...
instruction
0
13,350
22
26,700
Tags: greedy, implementation, math, sortings Correct Solution: ``` # list(map(int, input().split())) n = int(input()) numbers = list(map(int, input().split())) numbers = sorted(numbers) ans = 0 for i in range(n // 2): ans += (numbers[i] + numbers[n - i - 1]) ** 2 print(ans) ```
output
1
13,350
22
26,701
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an ...
instruction
0
13,351
22
26,702
Yes
output
1
13,351
22
26,703
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an ...
instruction
0
13,352
22
26,704
Yes
output
1
13,352
22
26,705
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an ...
instruction
0
13,353
22
26,706
Yes
output
1
13,353
22
26,707
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an ...
instruction
0
13,354
22
26,708
Yes
output
1
13,354
22
26,709
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an ...
instruction
0
13,355
22
26,710
No
output
1
13,355
22
26,711
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an ...
instruction
0
13,356
22
26,712
No
output
1
13,356
22
26,713
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an ...
instruction
0
13,357
22
26,714
No
output
1
13,357
22
26,715
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Lunar New Year is approaching, and Bob is struggling with his homework – a number division problem. There are n positive integers a_1, a_2, …, a_n on Bob's homework paper, where n is always an ...
instruction
0
13,358
22
26,716
No
output
1
13,358
22
26,717
Provide tags and a correct Python 3 solution for this coding contest problem. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,...
instruction
0
13,500
22
27,000
Tags: brute force, math, number theory Correct Solution: ``` import math def pf(n): fac = {} while n % 2 == 0: fac[2] = fac.get(2, 0)+1 n = n // 2 for i in range(3,int(math.sqrt(n))+1,2): while n % i== 0: fac[i] = fac.get(i, 0)+1 n = n // i if n > 2...
output
1
13,500
22
27,001
Provide tags and a correct Python 3 solution for this coding contest problem. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,...
instruction
0
13,501
22
27,002
Tags: brute force, math, number theory Correct Solution: ``` from sys import stdin, stdout from math import sqrt #stdin = open('Q3.txt', 'r') def II(): return int(stdin.readline()) def MI(): return map(int, stdin.readline().split()) bigp=10**18+7 primes=[] def SieveOfEratosthenes(n,primes): prime = [True for i i...
output
1
13,501
22
27,003
Provide tags and a correct Python 3 solution for this coding contest problem. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,...
instruction
0
13,502
22
27,004
Tags: brute force, math, number theory Correct Solution: ``` import sys #from collections import deque #from functools import * #from fractions import Fraction as f from copy import * from bisect import * #from heapq import * from math import gcd,ceil,sqrt from itertools import permutations as prm,product def eprint...
output
1
13,502
22
27,005
Provide tags and a correct Python 3 solution for this coding contest problem. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,...
instruction
0
13,503
22
27,006
Tags: brute force, math, number theory Correct Solution: ``` from sys import stdin,stdout from collections import * from math import gcd,floor,ceil st=lambda:list(stdin.readline().strip()) li=lambda:list(map(int,stdin.readline().split())) mp=lambda:map(int,stdin.readline().split()) inp=lambda:int(stdin.readline()) pr...
output
1
13,503
22
27,007
Provide tags and a correct Python 3 solution for this coding contest problem. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,...
instruction
0
13,504
22
27,008
Tags: brute force, math, number theory Correct Solution: ``` from bisect import bisect_left as bl from bisect import bisect_right as br from heapq import heappush,heappop import math from collections import * from functools import reduce,cmp_to_key,lru_cache import io, os input = io.BytesIO(os.read(0,os.fstat(0).st_si...
output
1
13,504
22
27,009
Provide tags and a correct Python 3 solution for this coding contest problem. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,...
instruction
0
13,505
22
27,010
Tags: brute force, math, number theory Correct Solution: ``` for _ in range(int(input())): p, q = map(int,input().split()) c = q d = p i = 1 factor = [] while i*i <= q: if q % i == 0: factor.append(i) if q//i != i: factor.append(q//i) i +...
output
1
13,505
22
27,011
Provide tags and a correct Python 3 solution for this coding contest problem. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,...
instruction
0
13,506
22
27,012
Tags: brute force, math, number theory Correct Solution: ``` T=int(input()) for _ in range(T): p,q=map(int,input().split()) if p<q: print(p) elif p%q!=0: print(p) else: s=set() i=2 while i*i<=q: ...
output
1
13,506
22
27,013
Provide tags and a correct Python 3 solution for this coding contest problem. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,...
instruction
0
13,507
22
27,014
Tags: brute force, math, number theory Correct Solution: ``` """T=int(input()) for _ in range(0,T): n=int(input()) a,b=map(int,input().split()) s=input() s=[int(x) for x in input().split()] for i in range(0,len(s)): a,b=map(int,input().split())""" import math T=int(input()) for _ in range...
output
1
13,507
22
27,015
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each...
instruction
0
13,508
22
27,016
Yes
output
1
13,508
22
27,017
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each...
instruction
0
13,509
22
27,018
Yes
output
1
13,509
22
27,019
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each...
instruction
0
13,510
22
27,020
Yes
output
1
13,510
22
27,021
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each...
instruction
0
13,511
22
27,022
Yes
output
1
13,511
22
27,023
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each...
instruction
0
13,512
22
27,024
No
output
1
13,512
22
27,025
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each...
instruction
0
13,513
22
27,026
No
output
1
13,513
22
27,027
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each...
instruction
0
13,514
22
27,028
No
output
1
13,514
22
27,029
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division. To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each...
instruction
0
13,515
22
27,030
No
output
1
13,515
22
27,031
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater th...
instruction
0
13,682
22
27,364
Yes
output
1
13,682
22
27,365
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater th...
instruction
0
13,684
22
27,368
No
output
1
13,684
22
27,369
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater th...
instruction
0
13,685
22
27,370
No
output
1
13,685
22
27,371
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider a table consisting of n rows and n columns. The cell located at the intersection of i-th row and j-th column contains number i Γ— j. The rows and columns are numbered starting from 1. You are given a positive integer x. Your t...
instruction
0
13,689
22
27,378
Tags: implementation, number theory Correct Solution: ``` size,n=map(int,input().split()) count=0 for i in range(1, size+1): if n%i==0 and n<=size*i: count=count+1 print(count) ```
output
1
13,689
22
27,379
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider a table consisting of n rows and n columns. The cell located at the intersection of i-th row and j-th column contains number i Γ— j. The rows and columns are numbered starting from 1. You are given a positive integer x. Your t...
instruction
0
13,690
22
27,380
Tags: implementation, number theory Correct Solution: ``` import sys import itertools import math import collections from collections import Counter ######################### # imgur.com/Pkt7iIf.png # ######################### def sieve(n): prime = [True for i in range(n + 1)] p = 2 while (p * p <= n): ...
output
1
13,690
22
27,381