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.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 72,797 | 22 | 145,594 |
Yes | output | 1 | 72,797 | 22 | 145,595 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 72,798 | 22 | 145,596 |
Yes | output | 1 | 72,798 | 22 | 145,597 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 72,799 | 22 | 145,598 |
No | output | 1 | 72,799 | 22 | 145,599 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 72,800 | 22 | 145,600 |
No | output | 1 | 72,800 | 22 | 145,601 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 72,801 | 22 | 145,602 |
No | output | 1 | 72,801 | 22 | 145,603 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 72,802 | 22 | 145,604 |
No | output | 1 | 72,802 | 22 | 145,605 |
Provide a correct Python 3 solution for this coding contest problem.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Cons... | instruction | 0 | 73,141 | 22 | 146,282 |
"Correct Solution:
```
N = int(input())
a = [int(n) for n in input().split()]
print(sum(a)-N)
``` | output | 1 | 73,141 | 22 | 146,283 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the... | instruction | 0 | 73,149 | 22 | 146,298 |
No | output | 1 | 73,149 | 22 | 146,299 |
Provide a correct Python 3 solution for this coding contest problem.
D: The Diversity of Prime Factorization
Problem
Ebi-chan has the FACTORIZATION MACHINE, which can factorize natural numbers M (greater than 1) in O ($ \ log $ M) time! But unfortunately, the machine could display only digits and white spaces.
In g... | instruction | 0 | 73,270 | 22 | 146,540 |
"Correct Solution:
```
from collections import defaultdict
MAX = 1000000
ROOT = 1000
MOD = 1000000007
is_prime = [True] * (MAX + 1)
is_prime[0] = is_prime[1] = False
for i in range(2, ROOT + 1):
if is_prime[i]:
for j in range(i * i, MAX + 1, i):
is_prime[j] = False
n = int(input())
qlst = list(map(int, inp... | output | 1 | 73,270 | 22 | 146,541 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which reads a list of N integers and prints the number of prime nu... | instruction | 0 | 73,271 | 22 | 146,542 |
"Correct Solution:
```
x = int(input())
count = 0
for i in range(0, x):
a = int(input())
for j in range ( 2, a ):
c = int(a)
if a % j == 0:
count += 1
break;
if j * j > c:
break;
print(x-count)
``` | output | 1 | 73,271 | 22 | 146,543 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which reads a list of N integers and prints the number of prime nu... | instruction | 0 | 73,272 | 22 | 146,544 |
"Correct Solution:
```
n=int(input())
cnt=0
for i in range(n):
a=int(input())
ans=True
for j in range(2,int(a**0.5)+1):
if a%j==0:
ans=False
break
if ans:
cnt+=1
print(cnt)
``` | output | 1 | 73,272 | 22 | 146,545 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which reads a list of N integers and prints the number of prime nu... | instruction | 0 | 73,273 | 22 | 146,546 |
"Correct Solution:
```
def is_prime(n):
for i in range(2, int(n ** 0.5) + 1):
if n % i == 0: return False
return True
count = 0
for i in range(int(input())):
if is_prime(int(input())) : count += 1
print(count)
``` | output | 1 | 73,273 | 22 | 146,547 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which reads a list of N integers and prints the number of prime nu... | instruction | 0 | 73,274 | 22 | 146,548 |
"Correct Solution:
```
import math
def isPrime(n):
for i in range(2, int(math.sqrt(n))+1):
if n % i == 0:
return False
return True
N = int(input())
nums = [int(input()) for i in range(N)]
print(sum([isPrime(n) for n in nums]))
``` | output | 1 | 73,274 | 22 | 146,549 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which reads a list of N integers and prints the number of prime nu... | instruction | 0 | 73,275 | 22 | 146,550 |
"Correct Solution:
```
import math
def is_prime(a):
for i in range(2,int(math.sqrt(a))+1):
if a%i==0:
return False
return True
n = int(input())
cnt = 0
for i in range(n):
x = int(input())
if is_prime(x):
cnt+=1
print(cnt)
``` | output | 1 | 73,275 | 22 | 146,551 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which reads a list of N integers and prints the number of prime nu... | instruction | 0 | 73,276 | 22 | 146,552 |
"Correct Solution:
```
import math
primenum =int(input())
ans = 0
for p in range(primenum):
targ = int(input())
for t in range(2,math.floor(math.sqrt(targ)) + 1):
if targ % t == 0:
break
else:
ans += 1
print(ans)
``` | output | 1 | 73,276 | 22 | 146,553 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which reads a list of N integers and prints the number of prime nu... | instruction | 0 | 73,277 | 22 | 146,554 |
"Correct Solution:
```
import math
x = 0
a = int(input())
for _ in range(a):
n = int(input())
if n == 1:
x = x + 1
continue
for i in range(2,int(math.sqrt(n))+1):
if n % i == 0:
x = x + 1
break
print(a-x)
``` | output | 1 | 73,277 | 22 | 146,555 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which reads a list of N integers and prints the number of prime nu... | instruction | 0 | 73,278 | 22 | 146,556 |
"Correct Solution:
```
import math
def S(N) :
for i in range(2, int(math.sqrt(N))+1) :
if N % i == 0 :
return 'F'
return 'T'
n = int(input())
ans = 0
for j in range(n) :
a = int(input())
if S(a) == 'T' :
ans += 1
print(ans)
``` | output | 1 | 73,278 | 22 | 146,557 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which read... | instruction | 0 | 73,279 | 22 | 146,558 |
Yes | output | 1 | 73,279 | 22 | 146,559 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which read... | instruction | 0 | 73,280 | 22 | 146,560 |
Yes | output | 1 | 73,280 | 22 | 146,561 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which read... | instruction | 0 | 73,281 | 22 | 146,562 |
Yes | output | 1 | 73,281 | 22 | 146,563 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which read... | instruction | 0 | 73,282 | 22 | 146,564 |
Yes | output | 1 | 73,282 | 22 | 146,565 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which read... | instruction | 0 | 73,283 | 22 | 146,566 |
No | output | 1 | 73,283 | 22 | 146,567 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which read... | instruction | 0 | 73,284 | 22 | 146,568 |
No | output | 1 | 73,284 | 22 | 146,569 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which read... | instruction | 0 | 73,285 | 22 | 146,570 |
No | output | 1 | 73,285 | 22 | 146,571 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.
Write a program which read... | instruction | 0 | 73,286 | 22 | 146,572 |
No | output | 1 | 73,286 | 22 | 146,573 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_i ≠ a_j.
* The maximal value of all a_i shou... | instruction | 0 | 73,390 | 22 | 146,780 |
Tags: constructive algorithms, number theory
Correct Solution:
```
#imgur.com/Pkt7iIf.png
#n, m = map(int, input().split())
#n = int(input())
#d = list(map(int, input().split()))
def sieve(n):
res = []
prime = [True for i in range(n+1)]
p = 2
while (p * p <= n):
if (prime[p] == True):
... | output | 1 | 73,390 | 22 | 146,781 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_i ≠ a_j.
* The maximal value of all a_i shou... | instruction | 0 | 73,391 | 22 | 146,782 |
Tags: constructive algorithms, number theory
Correct Solution:
```
#!/usr/bin/env python
import os
import operator
import sys
import bisect
import _operator
from _collections import defaultdict
from io import BytesIO, IOBase
def inar():
return [int(k) for k in input().split()]
def power(x, p,m):
res = 1
wh... | output | 1 | 73,391 | 22 | 146,783 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_i ≠ a_j.
* The maximal value of all a_i shou... | instruction | 0 | 73,392 | 22 | 146,784 |
Tags: constructive algorithms, number theory
Correct Solution:
```
n=int(input())
def pr(x):
for i in range(2, x):
if x % i == 0:
return False
else:
return True
z=1
l=[0]*(n-1)
# q=list(filter(lambda x: (pr(x)==True) , range(2,n+1)))
# print(q)
for i in range(2,n+1):#list(filter(lamb... | output | 1 | 73,392 | 22 | 146,785 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_i ≠ a_j.
* The maximal value of all a_i shou... | instruction | 0 | 73,393 | 22 | 146,786 |
Tags: constructive algorithms, number theory
Correct Solution:
```
n=int(input())
s=[-1]*n
ind=1
cu=1
while ind<n:
if s[ind]==-1:
s[ind::ind+1]=len(s[ind::ind+1])*[cu]
cu+=1
ind+=1
for i in s[1:]:
print(i,end=" ")
print()
``` | output | 1 | 73,393 | 22 | 146,787 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_i ≠ a_j.
* The maximal value of all a_i shou... | instruction | 0 | 73,394 | 22 | 146,788 |
Tags: constructive algorithms, number theory
Correct Solution:
```
from math import *
n=int(input())
ar=[0,0]
k=1
for i in range(1,n+1):
ar.append(0)
for i in range(2,n+1,1):
if ar[i]==0:
for j in range(i,n+1,i):
ar[j]=k
k=k+1
for i in range(2,n+1):
print(ar[i],end=" ")
``` | output | 1 | 73,394 | 22 | 146,789 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_i ≠ a_j.
* The maximal value of all a_i shou... | instruction | 0 | 73,395 | 22 | 146,790 |
Tags: constructive algorithms, number theory
Correct Solution:
```
n = int(input())
cont = 1
lista = [0]*(n-1)
for i in range(2, n+1):
mudou = False
for j in range(i, n+1, i):
if lista[j-2] == 0:
lista[j-2] = cont
mudou = True
if mudou:
cont += 1
for e in lista:
... | output | 1 | 73,395 | 22 | 146,791 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_i ≠ a_j.
* The maximal value of all a_i shou... | instruction | 0 | 73,396 | 22 | 146,792 |
Tags: constructive algorithms, number theory
Correct Solution:
```
prime = [-1 for i in range(100005)]
p = 2
avail = 1
while (p * p <= 100005):
if (prime[p] == -1):
for i in range(p, 100005, p):
if prime[i] == -1:
prime[i] = avail
avail += 1
p += 1
#print(avail)
fo... | output | 1 | 73,396 | 22 | 146,793 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_i ≠ a_j.
* The maximal value of all a_i shou... | instruction | 0 | 73,397 | 22 | 146,794 |
Tags: constructive algorithms, number theory
Correct Solution:
```
import math
def main():
n = int(input())
d = [0, 0, 1, 2]
m = 2
for i in range(4, n + 1):
f = False
for j in range(2, int(math.sqrt(i)) + 1):
if i % j == 0:
d.append(d[j])
f =... | output | 1 | 73,397 | 22 | 146,795 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_... | instruction | 0 | 73,398 | 22 | 146,796 |
Yes | output | 1 | 73,398 | 22 | 146,797 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_... | instruction | 0 | 73,399 | 22 | 146,798 |
Yes | output | 1 | 73,399 | 22 | 146,799 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_... | instruction | 0 | 73,400 | 22 | 146,800 |
Yes | output | 1 | 73,400 | 22 | 146,801 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_... | instruction | 0 | 73,401 | 22 | 146,802 |
Yes | output | 1 | 73,401 | 22 | 146,803 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_... | instruction | 0 | 73,402 | 22 | 146,804 |
No | output | 1 | 73,402 | 22 | 146,805 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_... | instruction | 0 | 73,403 | 22 | 146,806 |
No | output | 1 | 73,403 | 22 | 146,807 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_... | instruction | 0 | 73,404 | 22 | 146,808 |
No | output | 1 | 73,404 | 22 | 146,809 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You're given an integer n. For every integer i from 2 to n, assign a positive integer a_i such that the following conditions hold:
* For any pair of integers (i,j), if i and j are coprime, a_... | instruction | 0 | 73,405 | 22 | 146,810 |
No | output | 1 | 73,405 | 22 | 146,811 |
Provide a correct Python 3 solution for this coding contest problem.
Given are positive integers A and B.
Let us choose some number of positive common divisors of A and B.
Here, any two of the chosen divisors must be coprime.
At most, how many divisors can we choose?
Definition of common divisor
An integer d is s... | instruction | 0 | 73,976 | 22 | 147,952 |
"Correct Solution:
```
def GCD(a, b):
while b:
a, b = b, a % b
return a
a, b = map(int, input().split())
n = GCD(a,b)
i = 2
table = []
while i * i <= n:
while n % i == 0:
n = n // i
table.append(i)
i += 1
if n > 1:
table.append(n)
print(len(set(table))+1)
``` | output | 1 | 73,976 | 22 | 147,953 |
Provide a correct Python 3 solution for this coding contest problem.
Given are positive integers A and B.
Let us choose some number of positive common divisors of A and B.
Here, any two of the chosen divisors must be coprime.
At most, how many divisors can we choose?
Definition of common divisor
An integer d is s... | instruction | 0 | 73,977 | 22 | 147,954 |
"Correct Solution:
```
a,b=map(int,input().split())
from fractions import *
g=gcd(a,b)
c=i=1
while g>1 and i*i<=g:
i+=1
if g%i==0:
c+=1
while g%i==0:
g//=i
print(c+(g>1))
``` | output | 1 | 73,977 | 22 | 147,955 |
Provide a correct Python 3 solution for this coding contest problem.
Given are positive integers A and B.
Let us choose some number of positive common divisors of A and B.
Here, any two of the chosen divisors must be coprime.
At most, how many divisors can we choose?
Definition of common divisor
An integer d is s... | instruction | 0 | 73,978 | 22 | 147,956 |
"Correct Solution:
```
import fractions
A, B = map(int, input().split())
GCD = fractions.gcd(A, B)
k = 1
cnt = 1
while GCD > 1:
k += 1
if k ** 2 > GCD:
cnt += 1
break
if GCD % k:
continue
cnt += 1
while GCD % k == 0:
GCD //= k
print(cnt)
``` | output | 1 | 73,978 | 22 | 147,957 |
Provide a correct Python 3 solution for this coding contest problem.
Given are positive integers A and B.
Let us choose some number of positive common divisors of A and B.
Here, any two of the chosen divisors must be coprime.
At most, how many divisors can we choose?
Definition of common divisor
An integer d is s... | instruction | 0 | 73,979 | 22 | 147,958 |
"Correct Solution:
```
import fractions
A,B=map(int,input().split())
A,B=min(A,B),max(A,B)
g=fractions.gcd(A,B)
ans=1
for i in range(2,int(g**0.5+1)):
if g%i==0:
ans+=1
while g%i==0:
g/=i
if g==1:
break
if g!=1:
ans+=1
print(ans)
``` | output | 1 | 73,979 | 22 | 147,959 |
Provide a correct Python 3 solution for this coding contest problem.
Given are positive integers A and B.
Let us choose some number of positive common divisors of A and B.
Here, any two of the chosen divisors must be coprime.
At most, how many divisors can we choose?
Definition of common divisor
An integer d is s... | instruction | 0 | 73,980 | 22 | 147,960 |
"Correct Solution:
```
import fractions
a, b= (int(i) for i in input().split())
m=fractions.gcd(a,b)
pf={}
for i in range(2,int(m**0.5)+1):
while m%i==0:
pf[i]=pf.get(i,0)+1
m//=i
if m > 1:
pf[m]=1
print(len(pf)+1)
``` | output | 1 | 73,980 | 22 | 147,961 |
Provide a correct Python 3 solution for this coding contest problem.
Given are positive integers A and B.
Let us choose some number of positive common divisors of A and B.
Here, any two of the chosen divisors must be coprime.
At most, how many divisors can we choose?
Definition of common divisor
An integer d is s... | instruction | 0 | 73,981 | 22 | 147,962 |
"Correct Solution:
```
import fractions
a, b = map(int, input().split())
x = fractions.gcd(a, b)
t = x
i = 2
ans = 1;
while i * i <= t:
if x % i == 0:
while x % i == 0:
x /= i
ans += 1
i += 1
if x != 1:
ans += 1
print(ans)
``` | output | 1 | 73,981 | 22 | 147,963 |
Provide a correct Python 3 solution for this coding contest problem.
Given are positive integers A and B.
Let us choose some number of positive common divisors of A and B.
Here, any two of the chosen divisors must be coprime.
At most, how many divisors can we choose?
Definition of common divisor
An integer d is s... | instruction | 0 | 73,982 | 22 | 147,964 |
"Correct Solution:
```
from math import *
g = gcd(*map(int,input().split()))
D = {}
n = 2
while n*n<=g:
if g%n:
n+=1
else:
g//=n
D[n]=D.get(n,0)+1
if 1<g:
D[g]=D.get(g,0)+1
print(len(D)+1)
``` | output | 1 | 73,982 | 22 | 147,965 |
Provide a correct Python 3 solution for this coding contest problem.
Given are positive integers A and B.
Let us choose some number of positive common divisors of A and B.
Here, any two of the chosen divisors must be coprime.
At most, how many divisors can we choose?
Definition of common divisor
An integer d is s... | instruction | 0 | 73,983 | 22 | 147,966 |
"Correct Solution:
```
a,b = (int(i) for i in input().split())
def gcd(a,b):
if a%b: return gcd(b,a%b)
else: return b
g = gcd(a,b)
num,ans = g,1
for i in range(2,int(g**0.5)+1):
if num%i==0:
ans+=1
while num%i==0: num//=i
if num!=1: ans+=1
print(ans)
``` | output | 1 | 73,983 | 22 | 147,967 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are positive integers A and B.
Let us choose some number of positive common divisors of A and B.
Here, any two of the chosen divisors must be coprime.
At most, how many divisors can we ... | instruction | 0 | 73,984 | 22 | 147,968 |
Yes | output | 1 | 73,984 | 22 | 147,969 |
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