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 tags and a correct Python 3 solution for this coding contest problem.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Formally, find the maximum value of gcd(a, b), wher... | instruction | 0 | 4,353 | 22 | 8,706 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
from collections import defaultdict as dd
from collections import deque
import bisect
import heapq
def ri():
return int(input())
def rl():
return list(map(int, input().split()))
def solve():
n = ri()
print (n // 2)
mode = '... | output | 1 | 4,353 | 22 | 8,707 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Formally, find the maximum value of gcd(a, b), wher... | instruction | 0 | 4,354 | 22 | 8,708 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
def gcd(n):
if(n%2==0):
return n//2
else:
return gcd(n-1)
t=int(input())
for _ in range(0,t):
n=int(input())
res=gcd(n)
print(res)
``` | output | 1 | 4,354 | 22 | 8,709 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Formally, find the maximum value of gcd(a, b), wher... | instruction | 0 | 4,355 | 22 | 8,710 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
for __ in range(int(input())):
n=int(input())
if n%2!=0:
n-=1
n=n//2
print(n)
``` | output | 1 | 4,355 | 22 | 8,711 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Formally, find the maximum value of gcd(a, b), wher... | instruction | 0 | 4,356 | 22 | 8,712 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
# @oj: codeforces
# @id: hitwanyang
# @email: 296866643@qq.com
# @date: 2020-06-22 14:44
# @url:https://codeforc.es/contest/1370/problem/A
import sys,os
from io import BytesIO, IOBase
import collections,itertools,bisect,heapq,math,string
from deci... | output | 1 | 4,356 | 22 | 8,713 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Formally, find the maximum value of gcd(a, b), wher... | instruction | 0 | 4,357 | 22 | 8,714 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
for nt in range(int(input())):
n = int(input())
print (n//2)
``` | output | 1 | 4,357 | 22 | 8,715 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Formally, find the maximum value of gcd(a, b), wher... | instruction | 0 | 4,358 | 22 | 8,716 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
import math
for _ in range(int(input())):
n=int(input())
print(math.floor(n/2))
``` | output | 1 | 4,358 | 22 | 8,717 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Form... | instruction | 0 | 4,359 | 22 | 8,718 |
Yes | output | 1 | 4,359 | 22 | 8,719 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Form... | instruction | 0 | 4,360 | 22 | 8,720 |
Yes | output | 1 | 4,360 | 22 | 8,721 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Form... | instruction | 0 | 4,361 | 22 | 8,722 |
Yes | output | 1 | 4,361 | 22 | 8,723 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Form... | instruction | 0 | 4,362 | 22 | 8,724 |
Yes | output | 1 | 4,362 | 22 | 8,725 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Form... | instruction | 0 | 4,363 | 22 | 8,726 |
No | output | 1 | 4,363 | 22 | 8,727 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Form... | instruction | 0 | 4,364 | 22 | 8,728 |
No | output | 1 | 4,364 | 22 | 8,729 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Form... | instruction | 0 | 4,365 | 22 | 8,730 |
No | output | 1 | 4,365 | 22 | 8,731 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's consider all integers in the range from 1 to n (inclusive).
Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Form... | instruction | 0 | 4,366 | 22 | 8,732 |
No | output | 1 | 4,366 | 22 | 8,733 |
Provide tags and a correct Python 3 solution for this coding contest problem.
An n Γ n square matrix is special, if:
* it is binary, that is, each cell contains either a 0, or a 1;
* the number of ones in each row and column equals 2.
You are given n and the first m rows of the matrix. Print the number of sp... | instruction | 0 | 4,589 | 22 | 9,178 |
Tags: combinatorics, dp
Correct Solution:
```
from math import *
from collections import *
import sys
sys.setrecursionlimit(10**9)
dp = [[-1 for i in range(505)] for j in range(505)]
def memo(row,z,o):
if(row == n):
if(z == 0 and o == 0):
return 1
else:
return 0
if(dp[z][o] != -1): return dp[z][o]
if(z >... | output | 1 | 4,589 | 22 | 9,179 |
Provide tags and a correct Python 3 solution for this coding contest problem.
An n Γ n square matrix is special, if:
* it is binary, that is, each cell contains either a 0, or a 1;
* the number of ones in each row and column equals 2.
You are given n and the first m rows of the matrix. Print the number of sp... | instruction | 0 | 4,590 | 22 | 9,180 |
Tags: combinatorics, dp
Correct Solution:
```
a,b,mod = list(map(int, input().split()))
g = [2] * a
for i in range(b):
t = input()
for x, y in enumerate(t):
if y == '1':
g[x] -= 1
one = two = 0
for q in g:
if q < 0:
print(0)
exit(0)
if q == 1:
one+=1
... | output | 1 | 4,590 | 22 | 9,181 |
Provide tags and a correct Python 3 solution for this coding contest problem.
An n Γ n square matrix is special, if:
* it is binary, that is, each cell contains either a 0, or a 1;
* the number of ones in each row and column equals 2.
You are given n and the first m rows of the matrix. Print the number of sp... | instruction | 0 | 4,591 | 22 | 9,182 |
Tags: combinatorics, dp
Correct Solution:
```
# // DP
# // codeforces 489F Special Matrices
n = 0
m = 0
MOD = 0
cap = [0] * 505
ans = [[-1] * 505 for i in range(505)]
def f(one, two):
if one == 0 and two == 0:
return 1
if two > len(ans[one]):
print(str(one) + ' ' + str(two) + ' ' + len(ans[o... | output | 1 | 4,591 | 22 | 9,183 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number store! In his store, he has only divisors of posit... | instruction | 0 | 4,603 | 22 | 9,206 |
Tags: math
Correct Solution:
```
from math import ceil
n = int(input())
n1 = n
p = 1
mas = set()
for i in range(2, ceil(n**.5) + 1):
cnt = 0
while n % i == 0:
n = n//i
mas.add(i)
p *= i
mas.add(n1 // p)
p = 1
for i in mas:
p *= i
print(p)
``` | output | 1 | 4,603 | 22 | 9,207 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number store! In his store, he has only divisors of posit... | instruction | 0 | 4,604 | 22 | 9,208 |
Tags: math
Correct Solution:
```
from math import *
n = int(input())
for i in range(2,10**6):
while n%(i*i)==0 :
n//=(i)
print(n)
``` | output | 1 | 4,604 | 22 | 9,209 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number store! In his store, he has only divisors of posit... | instruction | 0 | 4,605 | 22 | 9,210 |
Tags: math
Correct Solution:
```
import math
n = int(input())
m = n
m = math.sqrt(m)
m = math.floor(m)
i = 2
x = 1
while i<=m:
if (n % i*i)==0:
while (n % i)==0:
n = n//i
n = n*i
m = n
m = math.sqrt(m)
m = math.floor(m)
i = i+1
print(n)
``` | output | 1 | 4,605 | 22 | 9,211 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number store! In his store, he has only divisors of posit... | instruction | 0 | 4,606 | 22 | 9,212 |
Tags: math
Correct Solution:
```
import math
n = int(input())
def factors(n):
return set(x for tup in ([i, n//i] for i in range(1, int(n**0.5)+1) if n % i == 0) for x in tup)
for factor in sorted(factors(n), reverse=True):
failed = False
for f in factors(factor):
if f != 1 and f == int(math.sqrt(f... | output | 1 | 4,606 | 22 | 9,213 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number store! In his store, he has only divisors of posit... | instruction | 0 | 4,607 | 22 | 9,214 |
Tags: math
Correct Solution:
```
from copy import copy
n = int(input())
factors = set()
new = copy(n)
for i in range(2, int(n**(1/2))+1):
#print(i)
while new % i == 0:
factors.add(i)
new //= i
if new != 1:
factors.add(new)
ans = 1
for i in factors:
ans *= i
print(ans)
``` | output | 1 | 4,607 | 22 | 9,215 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number store! In his store, he has only divisors of posit... | instruction | 0 | 4,608 | 22 | 9,216 |
Tags: math
Correct Solution:
```
import sys
#sys.stdin = open("input.txt")
#sys.stdout = open("output.txt", "w")
n = int(input())
di = [1]
i = 2
while n > 1:
if i*i > n:
break
if n % i == 0:
di += [i]
while n % i == 0 and n > 1:
n //= i
i += 1
if n != 1:
di += [n]
ans = 1
for item in di:
ans *= item... | output | 1 | 4,608 | 22 | 9,217 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number store! In his store, he has only divisors of posit... | instruction | 0 | 4,609 | 22 | 9,218 |
Tags: math
Correct Solution:
```
import math
n=int(input())
y=0
if n==1:
print(1)
exit(0)
while (n**(0.5))%1==0:
n=int(n**(0.5))
#print(n)
for i in range(2,10**6+1):
x=math.log(n,i)
#print(x)
if n%i==0 :
j=int(x)+1
while(j>=2):
if n%(i**j)==0:
y+=1
... | output | 1 | 4,609 | 22 | 9,219 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number store! In his store, he has only divisors of posit... | instruction | 0 | 4,610 | 22 | 9,220 |
Tags: math
Correct Solution:
```
# Python program to print prime factors
import math
from collections import Counter
# A function to print all prime factors of
# a given number n
def primeFactors(n):
primes = Counter()
# Print the number of two's that divide n
while n % 2 == 0:
primes[2] += 1
n = n / 2
... | output | 1 | 4,610 | 22 | 9,221 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number sto... | instruction | 0 | 4,611 | 22 | 9,222 |
Yes | output | 1 | 4,611 | 22 | 9,223 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number sto... | instruction | 0 | 4,612 | 22 | 9,224 |
Yes | output | 1 | 4,612 | 22 | 9,225 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number sto... | instruction | 0 | 4,613 | 22 | 9,226 |
Yes | output | 1 | 4,613 | 22 | 9,227 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number sto... | instruction | 0 | 4,614 | 22 | 9,228 |
Yes | output | 1 | 4,614 | 22 | 9,229 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number sto... | instruction | 0 | 4,615 | 22 | 9,230 |
No | output | 1 | 4,615 | 22 | 9,231 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number sto... | instruction | 0 | 4,616 | 22 | 9,232 |
No | output | 1 | 4,616 | 22 | 9,233 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number sto... | instruction | 0 | 4,617 | 22 | 9,234 |
No | output | 1 | 4,617 | 22 | 9,235 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Duff is in love with lovely numbers! A positive integer x is called lovely if and only if there is no such positive integer a > 1 such that a2 is a divisor of x.
<image>
Malek has a number sto... | instruction | 0 | 4,618 | 22 | 9,236 |
No | output | 1 | 4,618 | 22 | 9,237 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mahmoud has an array a consisting of n integers. He asked Ehab to find another array b of the same length such that:
* b is lexicographically greater than or equal to a.
* bi β₯ 2.
* b is pairwise coprime: for every 1 β€ i < j β€ n, bi... | instruction | 0 | 4,783 | 22 | 9,566 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
import atexit
import io
import sys
# Buffering IO
_INPUT_LINES = sys.stdin.read().splitlines()
input = iter(_INPUT_LINES).__next__
_OUTPUT_BUFFER = io.StringIO()
sys.stdout = _OUTPUT_BUFFER
@atexit.register
def write():
sys.__stdout_... | output | 1 | 4,783 | 22 | 9,567 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mahmoud has an array a consisting of n integers. He asked Ehab to find another array b of the same length such that:
* b is lexicographically greater than or equal to a.
* bi β₯ 2.
* b is pairwise coprime: for every 1 β€ i < j β€ n, bi... | instruction | 0 | 4,784 | 22 | 9,568 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
m=2*10**6
prime=[0 for i in range(m)]
n=int(input())
arr=list(map(int,input().split()))
s=set(arr)
i=0
flag=0
for i in range(n):
jump =arr[i]
if prime[jump] ==1:
for k in range(jump,m):
if prime[k] ==0:
... | output | 1 | 4,784 | 22 | 9,569 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mahmoud has an array a consisting of n integers. He asked Ehab to find another array b of the same length such that:
* b is lexicographically greater than or equal to a.
* bi β₯ 2.
* b is pairwise coprime: for every 1 β€ i < j β€ n, bi... | instruction | 0 | 4,785 | 22 | 9,570 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
# -*- coding: UTF-8 -*-
MAX_NUM = 2000000
prime_str = ('2 3 5 7 11 13 17 19 23 29 '
+ '31 37 41 43 47 53 59 61 67 71 '
+ '73 79 83 ... | output | 1 | 4,785 | 22 | 9,571 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mahmoud has an array a consisting of n integers. He asked Ehab to find another array b of the same length such that:
* b is lexicographically greater than or equal to a.
* bi β₯ 2.
* b is pairwise coprime: for every 1 β€ i < j β€ n, bi... | instruction | 0 | 4,786 | 22 | 9,572 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
MAX_NUM = 2000000
prime_str = ('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 ... | output | 1 | 4,786 | 22 | 9,573 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mahmoud has an array a consisting of n integers. He asked Ehab to find another array b of the same length such that:
* b is lexicographically greater than or equal to a.
* bi β₯ 2.
* b is pairwise coprime: for every 1 β€ i < j β€ n, bi... | instruction | 0 | 4,787 | 22 | 9,574 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
"""Codeforces P959D. Mahmoud and Ehab and another array construction task
(http://codeforces.com/problemset/problem/959/D)
Problem tags: constructive algorithms, greedy, number theory
Hint: Use sieve to keep the list of numbers which... | output | 1 | 4,787 | 22 | 9,575 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mahmoud has an array a consisting of n integers. He asked Ehab to find another array b of the same length such that:
* b is lexicographically greater than or equal to a.
* bi β₯ 2.
* b i... | instruction | 0 | 4,788 | 22 | 9,576 |
No | output | 1 | 4,788 | 22 | 9,577 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mahmoud has an array a consisting of n integers. He asked Ehab to find another array b of the same length such that:
* b is lexicographically greater than or equal to a.
* bi β₯ 2.
* b i... | instruction | 0 | 4,789 | 22 | 9,578 |
No | output | 1 | 4,789 | 22 | 9,579 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mahmoud has an array a consisting of n integers. He asked Ehab to find another array b of the same length such that:
* b is lexicographically greater than or equal to a.
* bi β₯ 2.
* b i... | instruction | 0 | 4,790 | 22 | 9,580 |
No | output | 1 | 4,790 | 22 | 9,581 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mahmoud has an array a consisting of n integers. He asked Ehab to find another array b of the same length such that:
* b is lexicographically greater than or equal to a.
* bi β₯ 2.
* b i... | instruction | 0 | 4,791 | 22 | 9,582 |
No | output | 1 | 4,791 | 22 | 9,583 |
Provide a correct Python 3 solution for this coding contest problem.
Find \displaystyle{\sum_{a=1}^{K}\sum_{b=1}^{K}\sum_{c=1}^{K} \gcd(a,b,c)}.
Here \gcd(a,b,c) denotes the greatest common divisor of a, b, and c.
Constraints
* 1 \leq K \leq 200
* K is an integer.
Input
Input is given from Standard Input in the f... | instruction | 0 | 4,825 | 22 | 9,650 |
"Correct Solution:
```
import math
a = int(input())
b = 0
for i in range(1,a+1):
for j in range(1,a+1):
for k in range(1,a+1):
b+=math.gcd(math.gcd(i,j),k)
print(b)
``` | output | 1 | 4,825 | 22 | 9,651 |
Provide a correct Python 3 solution for this coding contest problem.
Find \displaystyle{\sum_{a=1}^{K}\sum_{b=1}^{K}\sum_{c=1}^{K} \gcd(a,b,c)}.
Here \gcd(a,b,c) denotes the greatest common divisor of a, b, and c.
Constraints
* 1 \leq K \leq 200
* K is an integer.
Input
Input is given from Standard Input in the f... | instruction | 0 | 4,826 | 22 | 9,652 |
"Correct Solution:
```
from math import gcd
r = range(1, int(input()) + 1)
print(sum(gcd(gcd(a, b), c) for a in r for b in r for c in r))
``` | output | 1 | 4,826 | 22 | 9,653 |
Provide a correct Python 3 solution for this coding contest problem.
Find \displaystyle{\sum_{a=1}^{K}\sum_{b=1}^{K}\sum_{c=1}^{K} \gcd(a,b,c)}.
Here \gcd(a,b,c) denotes the greatest common divisor of a, b, and c.
Constraints
* 1 \leq K \leq 200
* K is an integer.
Input
Input is given from Standard Input in the f... | instruction | 0 | 4,827 | 22 | 9,654 |
"Correct Solution:
```
import math
K = int(input())
ans = 0
for a in range(1,K+1):
for b in range(1,K+1):
for c in range(1,K+1):
ans += math.gcd(math.gcd(a,b),c)
print(ans)
``` | output | 1 | 4,827 | 22 | 9,655 |
Provide a correct Python 3 solution for this coding contest problem.
Find \displaystyle{\sum_{a=1}^{K}\sum_{b=1}^{K}\sum_{c=1}^{K} \gcd(a,b,c)}.
Here \gcd(a,b,c) denotes the greatest common divisor of a, b, and c.
Constraints
* 1 \leq K \leq 200
* K is an integer.
Input
Input is given from Standard Input in the f... | instruction | 0 | 4,828 | 22 | 9,656 |
"Correct Solution:
```
from math import gcd
n = int(input())
sum = 0
for i in range(1,n+1):
for j in range(1,n+1):
for k in range(1,n+1):
sum += gcd(gcd(i,j),k)
print(sum)
``` | output | 1 | 4,828 | 22 | 9,657 |
Provide a correct Python 3 solution for this coding contest problem.
Find \displaystyle{\sum_{a=1}^{K}\sum_{b=1}^{K}\sum_{c=1}^{K} \gcd(a,b,c)}.
Here \gcd(a,b,c) denotes the greatest common divisor of a, b, and c.
Constraints
* 1 \leq K \leq 200
* K is an integer.
Input
Input is given from Standard Input in the f... | instruction | 0 | 4,829 | 22 | 9,658 |
"Correct Solution:
```
from math import gcd
K = int(input())
print(sum(gcd(gcd(a, b), c) for c in range(1, K + 1) for b in range(1, K + 1) for a in range(1, K + 1)))
``` | output | 1 | 4,829 | 22 | 9,659 |
Provide a correct Python 3 solution for this coding contest problem.
Find \displaystyle{\sum_{a=1}^{K}\sum_{b=1}^{K}\sum_{c=1}^{K} \gcd(a,b,c)}.
Here \gcd(a,b,c) denotes the greatest common divisor of a, b, and c.
Constraints
* 1 \leq K \leq 200
* K is an integer.
Input
Input is given from Standard Input in the f... | instruction | 0 | 4,830 | 22 | 9,660 |
"Correct Solution:
```
from math import gcd
s=int(input())
a=0
for i in range(1,s+1):
for j in range(1,s+1):
for k in range(1,s+1):
a+=gcd(gcd(i,j),k)
print(a)
``` | output | 1 | 4,830 | 22 | 9,661 |
Provide a correct Python 3 solution for this coding contest problem.
Find \displaystyle{\sum_{a=1}^{K}\sum_{b=1}^{K}\sum_{c=1}^{K} \gcd(a,b,c)}.
Here \gcd(a,b,c) denotes the greatest common divisor of a, b, and c.
Constraints
* 1 \leq K \leq 200
* K is an integer.
Input
Input is given from Standard Input in the f... | instruction | 0 | 4,831 | 22 | 9,662 |
"Correct Solution:
```
n = int(input())
l = 0
import math
for a in range(1,n+1):
for b in range(1,n+1):
for c in range(1,n+1):
l+=math.gcd(a,math.gcd(b,c))
print(l)
``` | output | 1 | 4,831 | 22 | 9,663 |
Provide a correct Python 3 solution for this coding contest problem.
Find \displaystyle{\sum_{a=1}^{K}\sum_{b=1}^{K}\sum_{c=1}^{K} \gcd(a,b,c)}.
Here \gcd(a,b,c) denotes the greatest common divisor of a, b, and c.
Constraints
* 1 \leq K \leq 200
* K is an integer.
Input
Input is given from Standard Input in the f... | instruction | 0 | 4,832 | 22 | 9,664 |
"Correct Solution:
```
from math import gcd
a = 0
K = int(input())
for i in range(1, K+1):
for j in range(1, K+1):
for l in range(1, K+1):
a += gcd(i, gcd(j, l))
print(a)
``` | output | 1 | 4,832 | 22 | 9,665 |
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