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 |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
While doing some spring cleaning, Daniel found an old calculator that he loves so much. However, it seems like it is broken. When he tries to compute 1 + 3 using the calculator, he gets 2 instea... | instruction | 0 | 76,835 | 22 | 153,670 |
No | output | 1 | 76,835 | 22 | 153,671 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
While doing some spring cleaning, Daniel found an old calculator that he loves so much. However, it seems like it is broken. When he tries to compute 1 + 3 using the calculator, he gets 2 instea... | instruction | 0 | 76,836 | 22 | 153,672 |
No | output | 1 | 76,836 | 22 | 153,673 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
While doing some spring cleaning, Daniel found an old calculator that he loves so much. However, it seems like it is broken. When he tries to compute 1 + 3 using the calculator, he gets 2 instea... | instruction | 0 | 76,837 | 22 | 153,674 |
No | output | 1 | 76,837 | 22 | 153,675 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
While doing some spring cleaning, Daniel found an old calculator that he loves so much. However, it seems like it is broken. When he tries to compute 1 + 3 using the calculator, he gets 2 instea... | instruction | 0 | 76,838 | 22 | 153,676 |
No | output | 1 | 76,838 | 22 | 153,677 |
Provide a correct Python 3 solution for this coding contest problem.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since this sum can be enormous, print the value modulo (10^9+7)... | instruction | 0 | 77,357 | 22 | 154,714 |
"Correct Solution:
```
n, k = map(int, input().split())
mod = 10**9+7
dp = [0]*(k+1)
ans = 0
for i in range(1, k+1)[::-1]:
res = pow(k//i, n, mod)
for j in range(i*2, k+1, i):
res-=dp[j]
dp[i] = res%mod
ans+=i*res
ans%=mod
print(ans)
``` | output | 1 | 77,357 | 22 | 154,715 |
Provide a correct Python 3 solution for this coding contest problem.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since this sum can be enormous, print the value modulo (10^9+7)... | instruction | 0 | 77,358 | 22 | 154,716 |
"Correct Solution:
```
mod = 10 ** 9 + 7
N, K = map(int, input().split())
ans = 0
memo = [0] * (K + 1)
for i in range(K, 0, -1):
x = K // i
cnt = pow(x, N, mod)
a = i
while a <= K:
cnt -= memo[a]
a += i
memo[i] = cnt
ans += i * cnt
ans %= mod
print(ans)
``` | output | 1 | 77,358 | 22 | 154,717 |
Provide a correct Python 3 solution for this coding contest problem.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since this sum can be enormous, print the value modulo (10^9+7)... | instruction | 0 | 77,359 | 22 | 154,718 |
"Correct Solution:
```
n,k=map(int,input().split())
mod=pow(10,9)+7
ans=[0]*(k+1)
# gcdがkiとなる数列。すべてがkiの倍数でかつ少なくとも一つkiを含む
for ki in range(k,0,-1):
a=k//ki
ans[ki]=pow(a,n,mod)
i=2
while i*ki<=k:
ans[ki]-=ans[i*ki]
i+=1
b=0
for ki in range(1,k+1):
b+=(ans[ki]*ki)%mod
b%=mod
print(b... | output | 1 | 77,359 | 22 | 154,719 |
Provide a correct Python 3 solution for this coding contest problem.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since this sum can be enormous, print the value modulo (10^9+7)... | instruction | 0 | 77,360 | 22 | 154,720 |
"Correct Solution:
```
n,k=map(int,input().split())
mod=10**9+7
ans=0
d=[0]*(k+1)
for i in range(k,0,-1):
c=k//i
t=pow(c,n,mod)
t+=(d[i]//mod+1)*mod-d[i]
t%=mod
ans+=t*i
ans%=mod
for j in range(1,int(i**.5)+1):
if i%j==0:
d[j]+=t
if j!=i//j:
d[i//j]+=t
print(ans)
``` | output | 1 | 77,360 | 22 | 154,721 |
Provide a correct Python 3 solution for this coding contest problem.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since this sum can be enormous, print the value modulo (10^9+7)... | instruction | 0 | 77,361 | 22 | 154,722 |
"Correct Solution:
```
from math import gcd
N,K = map(int,input().split())
MOD = 10**9+7
dp = [1] * (K+1)
for n in range(K//2,0,-1):
p = pow(K//n,N,MOD)
for m in range(2*n,K+1,n):
p -= dp[m]
dp[n] = p%MOD
ans = 0
for i,n in enumerate(dp):
ans += i*n
ans %= MOD
print(ans)
``` | output | 1 | 77,361 | 22 | 154,723 |
Provide a correct Python 3 solution for this coding contest problem.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since this sum can be enormous, print the value modulo (10^9+7)... | instruction | 0 | 77,362 | 22 | 154,724 |
"Correct Solution:
```
n,k=map(int,input().split())
mod=10**9+7
ans=0
A=[0]*k
for i in range(k,0,-1):
a=0
A[i-1]=pow((k//i),n,mod)
m=i*2
while m<=k:
A[i-1]=(A[i-1]-A[m-1])%mod
m=m+i
ans=(ans+i*A[i-1])%mod
print(ans%mod)
``` | output | 1 | 77,362 | 22 | 154,725 |
Provide a correct Python 3 solution for this coding contest problem.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since this sum can be enormous, print the value modulo (10^9+7)... | instruction | 0 | 77,363 | 22 | 154,726 |
"Correct Solution:
```
N, K = [int(_) for _ in input().split()]
mod = 10**9 + 7
A = [0] * (K + 1)
for i in range(K, 0, -1):
A[i] = pow(K // i, N, mod)
for j in range(2, K // i + 1):
A[i] -= A[i * j]
A[i] %= mod
print(sum(i * a for i, a in enumerate(A)) % mod)
``` | output | 1 | 77,363 | 22 | 154,727 |
Provide a correct Python 3 solution for this coding contest problem.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since this sum can be enormous, print the value modulo (10^9+7)... | instruction | 0 | 77,364 | 22 | 154,728 |
"Correct Solution:
```
N,K=map(int,input().split())
m=10**9+7
d=[0]*K
for k in range(K,0,-1):
d[k-1]=pow(K//k,N,m)
for l in range(2*k,K+1,k):
d[k-1]=(d[k-1]-d[l-1])%m
print(sum([(k+1)*d[k]%m for k in range(K)])%m)
``` | output | 1 | 77,364 | 22 | 154,729 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since t... | instruction | 0 | 77,365 | 22 | 154,730 |
Yes | output | 1 | 77,365 | 22 | 154,731 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since t... | instruction | 0 | 77,366 | 22 | 154,732 |
Yes | output | 1 | 77,366 | 22 | 154,733 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since t... | instruction | 0 | 77,367 | 22 | 154,734 |
Yes | output | 1 | 77,367 | 22 | 154,735 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since t... | instruction | 0 | 77,368 | 22 | 154,736 |
Yes | output | 1 | 77,368 | 22 | 154,737 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since t... | instruction | 0 | 77,369 | 22 | 154,738 |
No | output | 1 | 77,369 | 22 | 154,739 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since t... | instruction | 0 | 77,370 | 22 | 154,740 |
No | output | 1 | 77,370 | 22 | 154,741 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since t... | instruction | 0 | 77,371 | 22 | 154,742 |
No | output | 1 | 77,371 | 22 | 154,743 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider sequences \\{A_1,...,A_N\\} of length N consisting of integers between 1 and K (inclusive).
There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.
Since t... | instruction | 0 | 77,372 | 22 | 154,744 |
No | output | 1 | 77,372 | 22 | 154,745 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50
Input
Input consists of sever... | instruction | 0 | 77,476 | 22 | 154,952 |
"Correct Solution:
```
def main():
while True:
try:
a,b=(int(x) for x in input().split())
except:
break
a1=a
b1=b
while b!=0:
c=a%b
a=b
b=c
print(a, a1*b1//a)
main()
``` | output | 1 | 77,476 | 22 | 154,953 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50
Input
Input consists of sever... | instruction | 0 | 77,477 | 22 | 154,954 |
"Correct Solution:
```
while True:
try:
a, b = map(int, input().split())
x, y = a, b
while y:
x, y = y, x%y
print(x,int(a*b/x))
except:
break
``` | output | 1 | 77,477 | 22 | 154,955 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50
Input
Input consists of sever... | instruction | 0 | 77,478 | 22 | 154,956 |
"Correct Solution:
```
#!/usr/bin/env python3
import sys
from fractions import gcd
for line in sys.stdin:
[a, b] = [int(x) for x in line.split()]
print(int(gcd(a, b)), int(a / gcd(a, b) * b))
``` | output | 1 | 77,478 | 22 | 154,957 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50
Input
Input consists of sever... | instruction | 0 | 77,479 | 22 | 154,958 |
"Correct Solution:
```
def gcd(a, b):
if b == 0: return a
else: return gcd(b, a % b)
def lcm(a, b):
return a * b / gcd(a, b)
while True:
try:
a, b = map(int, input().split())
print(int(gcd(a, b)), int(lcm(a, b)))
except EOFError:
break
``` | output | 1 | 77,479 | 22 | 154,959 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50
Input
Input consists of sever... | instruction | 0 | 77,480 | 22 | 154,960 |
"Correct Solution:
```
try:
while True:
x=list(sorted(map(int, input().split())))
a=x[0]
b=x[1]
while b%a != 0:
c=a
a=b%a
b=c
print(a, x[0]*x[1]//a)
except EOFError:
pass
``` | output | 1 | 77,480 | 22 | 154,961 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50
Input
Input consists of sever... | instruction | 0 | 77,481 | 22 | 154,962 |
"Correct Solution:
```
def gcd(a,b):
while b != 0:
a , b = b , a % b
return a
def lcm(a,b):
return int(abs(a*b) / gcd(a,b))
while True:
try:
a, b = [int(x) for x in input().split()]
except:
exit()
print(gcd(a,b),lcm(a,b))
``` | output | 1 | 77,481 | 22 | 154,963 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50
Input
Input consists of sever... | instruction | 0 | 77,482 | 22 | 154,964 |
"Correct Solution:
```
import sys
sys.setrecursionlimit(10**7)
import fileinput
def gcd(a, b):
while b:
a, b = b, a % b
return a
def lcm(a, b):
return a * b // gcd(a, b)
for line in sys.stdin:
x, y = map(int, line.split())
print(gcd(x,y),lcm(x,y))
``` | output | 1 | 77,482 | 22 | 154,965 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50
Input
Input consists of sever... | instruction | 0 | 77,483 | 22 | 154,966 |
"Correct Solution:
```
import sys
def gcd(a, b):
while b % a:
a, b = b % a, a
return a
def lcm(a, b):
return a * b // gcd(a, b)
for line in sys.stdin:
a, b = sorted(list(map(int, line.split())))
print(gcd(a, b), lcm(a, b))
``` | output | 1 | 77,483 | 22 | 154,967 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The ... | instruction | 0 | 77,484 | 22 | 154,968 |
Yes | output | 1 | 77,484 | 22 | 154,969 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The ... | instruction | 0 | 77,485 | 22 | 154,970 |
Yes | output | 1 | 77,485 | 22 | 154,971 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The ... | instruction | 0 | 77,486 | 22 | 154,972 |
Yes | output | 1 | 77,486 | 22 | 154,973 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The ... | instruction | 0 | 77,487 | 22 | 154,974 |
Yes | output | 1 | 77,487 | 22 | 154,975 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The ... | instruction | 0 | 77,488 | 22 | 154,976 |
No | output | 1 | 77,488 | 22 | 154,977 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The ... | instruction | 0 | 77,489 | 22 | 154,978 |
No | output | 1 | 77,489 | 22 | 154,979 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The ... | instruction | 0 | 77,490 | 22 | 154,980 |
No | output | 1 | 77,490 | 22 | 154,981 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.
Constraints
* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The ... | instruction | 0 | 77,491 | 22 | 154,982 |
No | output | 1 | 77,491 | 22 | 154,983 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is the smallest positive integer that is divisible b... | instruction | 0 | 77,657 | 22 | 155,314 |
Tags: brute force, math, number theory
Correct Solution:
```
import sys
input=sys.stdin.readline
import math
def gcd(a, b):
if a == 0 :
return b
return gcd(b%a, a)
t=int(input())
m=1000000000000
tup=[]
for i in range(1,int(t**0.5)+1):
if(t%i==0):
j=t//i
if(gcd(i,j)==1):
... | output | 1 | 77,657 | 22 | 155,315 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is the smallest positive integer that is divisible b... | instruction | 0 | 77,658 | 22 | 155,316 |
Tags: brute force, math, number theory
Correct Solution:
```
a = int(input())
q = round(a**(1/2))
if q**2 > a:
q=q-1
def nod(a,b):
while a != 0 and b != 0:
if a > b:
a %= b
else:
b %= a
return a+b
while q > 0:
if a % q ==0:
p = a // q
if p*q//nod... | output | 1 | 77,658 | 22 | 155,317 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is the smallest positive integer that is divisible b... | instruction | 0 | 77,659 | 22 | 155,318 |
Tags: brute force, math, number theory
Correct Solution:
```
# |
# _` | __ \ _` | __| _ \ __ \ _` | _` |
# ( | | | ( | ( ( | | | ( | ( |
# \__,_| _| _| \__,_| \___| \___/ _| _| \__,_| \__,_|
import sys
import math
def read_line... | output | 1 | 77,659 | 22 | 155,319 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is the smallest positive integer that is divisible b... | instruction | 0 | 77,660 | 22 | 155,320 |
Tags: brute force, math, number theory
Correct Solution:
```
import math
n=int(input())
ans=n
for i in range(1,int(math.sqrt(n))+1):
if n%i==0:
a=i
b=n//i
if math.gcd(i,n//i)==1:
ans=min(ans,n//i)
print(n//ans,ans)
``` | output | 1 | 77,660 | 22 | 155,321 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is the smallest positive integer that is divisible b... | instruction | 0 | 77,661 | 22 | 155,322 |
Tags: brute force, math, number theory
Correct Solution:
```
from fractions import gcd
def main():
X = int(input())
now = [10**20,10**20]
for i in range(1,int(X**(0.5))+1):
if X%i==0 and X==(i*(X//i))//gcd(i,X//i):
if max(i,X//i)<max(now):
now = [i,X//i]
print(now[0]... | output | 1 | 77,661 | 22 | 155,323 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is the smallest positive integer that is divisible b... | instruction | 0 | 77,662 | 22 | 155,324 |
Tags: brute force, math, number theory
Correct Solution:
```
#from statistics import median
#import collections
#aa = collections.Counter(a) # list to list || .most_common(2)で最大の2個とりだせるお a[0][0]
# from math import gcd
# from itertools import combinations,permutations,accumulate, product # (string,3) 3回
# #from collecti... | output | 1 | 77,662 | 22 | 155,325 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is the smallest positive integer that is divisible b... | instruction | 0 | 77,663 | 22 | 155,326 |
Tags: brute force, math, number theory
Correct Solution:
```
from sys import maxsize, stdout, stdin,stderr
mod = int(1e9 + 7)
def I(): return int(stdin.readline())
def lint(): return [int(x) for x in stdin.readline().split()]
def S(): return input().strip()
def grid(r, c): return [lint() for i in range(r)]
from collect... | output | 1 | 77,663 | 22 | 155,327 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is the smallest positive integer that is divisible b... | instruction | 0 | 77,664 | 22 | 155,328 |
Tags: brute force, math, number theory
Correct Solution:
```
#python3
def gcd(a,b):
if b==0:
return a
else:
return gcd(b,a%b)
def lcm(a,b):
return (a*b)/gcd(a,b)
#print(gcd(16,24),lcm(6,8))
def fadi(X):
l=[] #list of pairs whose lcm is X
i=2
a=1
b=X
while i*i<=X:
if X%i==0 and lcm(i,X/i)==X:
a=i
... | output | 1 | 77,664 | 22 | 155,329 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is th... | instruction | 0 | 77,665 | 22 | 155,330 |
Yes | output | 1 | 77,665 | 22 | 155,331 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is th... | instruction | 0 | 77,666 | 22 | 155,332 |
Yes | output | 1 | 77,666 | 22 | 155,333 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is th... | instruction | 0 | 77,667 | 22 | 155,334 |
Yes | output | 1 | 77,667 | 22 | 155,335 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is th... | instruction | 0 | 77,668 | 22 | 155,336 |
Yes | output | 1 | 77,668 | 22 | 155,337 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is th... | instruction | 0 | 77,669 | 22 | 155,338 |
No | output | 1 | 77,669 | 22 | 155,339 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.
LCM(a, b) is th... | instruction | 0 | 77,670 | 22 | 155,340 |
No | output | 1 | 77,670 | 22 | 155,341 |
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