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.
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 | 77,671 | 22 | 155,342 |
No | output | 1 | 77,671 | 22 | 155,343 |
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 | 77,672 | 22 | 155,344 |
No | output | 1 | 77,672 | 22 | 155,345 |
Provide a correct Python 3 solution for this coding contest problem.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwise coprime when \\{A_i\\} is not pairwise coprime but GC... | instruction | 0 | 77,999 | 22 | 155,998 |
"Correct Solution:
```
N = int(input())
li = list(map(int,input().split()))
S = max(li)
L = [0] * (S+1)
import math
from functools import reduce
if reduce(math.gcd,li) != 1:
print('not coprime')
exit()
for i in li:
L[i] = 1
for k in range(2,S+1):
t = 0
for j in range(0,S+1,k):
t += L[j]... | output | 1 | 77,999 | 22 | 155,999 |
Provide a correct Python 3 solution for this coding contest problem.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwise coprime when \\{A_i\\} is not pairwise coprime but GC... | instruction | 0 | 78,000 | 22 | 156,000 |
"Correct Solution:
```
import sys
from math import gcd
input = sys.stdin.readline
N = int(input())
a = list(map(int, input().split()))
mx = max(a)
table = [0] * (mx + 1)
for x in a: table[x] += 1
g = 0
for x in a: g = gcd(g, x)
for i in range(2, mx + 1):
c = 0
for j in range(i, mx + 1, i): c += table[j]
if c > 1:... | output | 1 | 78,000 | 22 | 156,001 |
Provide a correct Python 3 solution for this coding contest problem.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwise coprime when \\{A_i\\} is not pairwise coprime but GC... | instruction | 0 | 78,001 | 22 | 156,002 |
"Correct Solution:
```
from math import gcd
n = int(input())
a = [int(i) for i in input().split()]
g = a[0]
for i in range(n):
g = gcd(g,a[i])
if g != 1:
print("not coprime")
exit()
m = max(a)
fac = [1]*(m+1)
for i in range(2,m+1):
if fac[i] != 1:
continue
for j in range(i,m+1,i):
fac[... | output | 1 | 78,001 | 22 | 156,003 |
Provide a correct Python 3 solution for this coding contest problem.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwise coprime when \\{A_i\\} is not pairwise coprime but GC... | instruction | 0 | 78,002 | 22 | 156,004 |
"Correct Solution:
```
n = int(input())
s = list(map(int, input().split()))
s.sort()
A = max(s)
dp = [0] * (A + 5)
for ss in s:
dp[ss] += 1
pairwise = True
setwise = True
for i in range(2, A + 1):
cnt = 0
for j in range(i, A + 1, i):
cnt += dp[j]
if cnt > 1:
pairwise = False
if c... | output | 1 | 78,002 | 22 | 156,005 |
Provide a correct Python 3 solution for this coding contest problem.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwise coprime when \\{A_i\\} is not pairwise coprime but GC... | instruction | 0 | 78,003 | 22 | 156,006 |
"Correct Solution:
```
import math
L = 10**6 + 1
N = int(input())
A = list(map(int, input().split()))
memo = [0] * L
flag = 0
for a in A:
memo[a] += 1
for i in range(2, L):
if sum(memo[i::i]) > 1:
flag = 1
break
g = 0
for i in range(N):
g = math.gcd(g, A[i])
if flag == 0:
answer = ... | output | 1 | 78,003 | 22 | 156,007 |
Provide a correct Python 3 solution for this coding contest problem.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwise coprime when \\{A_i\\} is not pairwise coprime but GC... | instruction | 0 | 78,004 | 22 | 156,008 |
"Correct Solution:
```
n = int(input())
A = tuple(map(int, input().split()))
maxa = max(A)
cnt = [0] * (maxa + 1)
for a in A:
cnt[a] += 1
from math import gcd
from functools import reduce
if reduce(gcd, A) != 1:
print('not coprime')
else:
for i in range(2, maxa+1):
if sum(cnt[i::i]) > 1:
... | output | 1 | 78,004 | 22 | 156,009 |
Provide a correct Python 3 solution for this coding contest problem.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwise coprime when \\{A_i\\} is not pairwise coprime but GC... | instruction | 0 | 78,005 | 22 | 156,010 |
"Correct Solution:
```
from math import gcd
from functools import reduce
k=10**6+1
def judge(n,a):
c=[0]*k
for x in a:
c[x]+=1
t=any(sum(c[i::i])>1 for i in range(2,k))
t+=reduce(gcd,a)>1
return ['pairwise','setwise','not'][t]+' coprime'
n=int(input())
a=list(map(int,input().split()))
print(judge(n,a))
`... | output | 1 | 78,005 | 22 | 156,011 |
Provide a correct Python 3 solution for this coding contest problem.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwise coprime when \\{A_i\\} is not pairwise coprime but GC... | instruction | 0 | 78,006 | 22 | 156,012 |
"Correct Solution:
```
import math
N = 1000001
spf = [*range(N)]
i = 2
while i * i < N:
if spf[i] == i:
for j in range(i * i, N, i):
if spf[j] == j:
spf[j] = i
i += 1
r = 'pairwise'
input()
d = None
u = set()
for x in map(int, input().split()):
d = math.gcd(d or x, x);
s = set()
whi... | output | 1 | 78,006 | 22 | 156,013 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwi... | instruction | 0 | 78,007 | 22 | 156,014 |
Yes | output | 1 | 78,007 | 22 | 156,015 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwi... | instruction | 0 | 78,008 | 22 | 156,016 |
Yes | output | 1 | 78,008 | 22 | 156,017 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwi... | instruction | 0 | 78,009 | 22 | 156,018 |
Yes | output | 1 | 78,009 | 22 | 156,019 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwi... | instruction | 0 | 78,010 | 22 | 156,020 |
Yes | output | 1 | 78,010 | 22 | 156,021 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwi... | instruction | 0 | 78,011 | 22 | 156,022 |
No | output | 1 | 78,011 | 22 | 156,023 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwi... | instruction | 0 | 78,012 | 22 | 156,024 |
No | output | 1 | 78,012 | 22 | 156,025 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwi... | instruction | 0 | 78,013 | 22 | 156,026 |
No | output | 1 | 78,013 | 22 | 156,027 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers. The i-th number is A_i.
\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.
\\{A_i\\} is said to be setwi... | instruction | 0 | 78,014 | 22 | 156,028 |
No | output | 1 | 78,014 | 22 | 156,029 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this problem is too simple for him, so he does not want ... | instruction | 0 | 78,298 | 22 | 156,596 |
Tags: number theory
Correct Solution:
```
from sys import stdin
from collections import deque
mod = 10**9 + 7
# def rl():
# return [int(w) for w in stdin.readline().split()]
from bisect import bisect_right
from bisect import bisect_left
from collections import defaultdict
from math import sqrt,factorial,gcd,log2,in... | output | 1 | 78,298 | 22 | 156,597 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this prob... | instruction | 0 | 78,299 | 22 | 156,598 |
No | output | 1 | 78,299 | 22 | 156,599 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this prob... | instruction | 0 | 78,300 | 22 | 156,600 |
No | output | 1 | 78,300 | 22 | 156,601 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this prob... | instruction | 0 | 78,301 | 22 | 156,602 |
No | output | 1 | 78,301 | 22 | 156,603 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this prob... | instruction | 0 | 78,302 | 22 | 156,604 |
No | output | 1 | 78,302 | 22 | 156,605 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Numbers k-bonacci (k is integer, k > 1) are a generalization of Fibonacci numbers and are determined as follows:
* F(k, n) = 0, for integer n, 1 ≤ n < k;
* F(k, k) = 1;
* F(k, n) = F(k,... | instruction | 0 | 78,564 | 22 | 157,128 |
No | output | 1 | 78,564 | 22 | 157,129 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Numbers k-bonacci (k is integer, k > 1) are a generalization of Fibonacci numbers and are determined as follows:
* F(k, n) = 0, for integer n, 1 ≤ n < k;
* F(k, k) = 1;
* F(k, n) = F(k,... | instruction | 0 | 78,567 | 22 | 157,134 |
No | output | 1 | 78,567 | 22 | 157,135 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A k-multiple free set is a set of integers where there is no pair of integers where one is equal to another integer multiplied by k. That is, there are no two integers x and y (x < y) from the set, such that y = x·k.
You're given a set of n... | instruction | 0 | 78,574 | 22 | 157,148 |
Tags: binary search, greedy, sortings
Correct Solution:
```
from sys import maxsize, stdout, stdin,stderr
mod = int(1e9+7)
import sys
def I(): return int(stdin.readline())
def lint(): return [int(x) for x in stdin.readline().split()]
def S(): return list(map(str,input().strip()))
def grid(r, c): return [lint() for i in... | output | 1 | 78,574 | 22 | 157,149 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A k-multiple free set is a set of integers where there is no pair of integers where one is equal to another integer multiplied by k. That is, there are no two integers x and y (x < y) from the set, such that y = x·k.
You're given a set of n... | instruction | 0 | 78,575 | 22 | 157,150 |
Tags: binary search, greedy, sortings
Correct Solution:
```
def K_multiple(a, n, k) :
a.sort()
s = set()
for i in range(n) :
# Check if x/k is already present or not
if ((a[i] % k == 0 and
a[i] // k not in s ) or a[i] % k != 0) :
s.add(a[i])
print(len(s))
if __name__ == "__main__" :
n... | output | 1 | 78,575 | 22 | 157,151 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A k-multiple free set is a set of integers where there is no pair of integers where one is equal to another integer multiplied by k. That is, there are no two integers x and y (x < y) from the s... | instruction | 0 | 78,582 | 22 | 157,164 |
Yes | output | 1 | 78,582 | 22 | 157,165 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will randomly pick one of the divisors of v (possibly... | instruction | 0 | 79,167 | 22 | 158,334 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
x,k=map(int,input().split())
#x=60
#k=5
if x==1:
print(1)
import sys
sys.exit()
import math
L=int(math.sqrt(x))
mod=10**9+7
FACT=dict()
for i in range(2,L+2):
while x%i==0:
FACT[i]=FACT.get(i,0)+1
x=x//i
if x!=1:
... | output | 1 | 79,167 | 22 | 158,335 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will randomly pick one of the divisors of v (possibly... | instruction | 0 | 79,168 | 22 | 158,336 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
import random
from math import gcd
def _try_composite(a, d, n, s):
if pow(a, d, n) == 1:
return False
for i in range(s):
if pow(a, 2**i * d, n) == n - 1:
return False
return True
def is_prime(n):
if n in [... | output | 1 | 79,168 | 22 | 158,337 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will randomly pick one of the divisors of v (possibly... | instruction | 0 | 79,169 | 22 | 158,338 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
from collections import defaultdict
from math import sqrt
n, k = [int(i) for i in input().split()]
p = 10 ** 9 + 7
def factorize(n):
i = 2
A = defaultdict(int)
while n % i == 0:
n //= i
A[i] += 1
i += 1
wh... | output | 1 | 79,169 | 22 | 158,339 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will randomly pick one of the divisors of v (possibly... | instruction | 0 | 79,170 | 22 | 158,340 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
def _try_composite(a, d, n, s):
if pow(a, d, n) == 1:
return False
for i in range(s):
if pow(a, 2**i * d, n) == n - 1:
return False
return True
def is_prime(n):
if n in [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 3... | output | 1 | 79,170 | 22 | 158,341 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will randomly pick one of the divisors of v (possibly... | instruction | 0 | 79,171 | 22 | 158,342 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
def _try_composite(a, d, n, s):
if pow(a, d, n) == 1:
return False
for i in range(s):
if pow(a, 2**i * d, n) == n - 1:
return False
return True
def is_prime(n):
if n in [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 3... | output | 1 | 79,171 | 22 | 158,343 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will randomly pick one of the divisors of v (possibly... | instruction | 0 | 79,172 | 22 | 158,344 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
import sys
import math
x,k=map(int,input().split())
if x==1:
print(1)
sys.exit()
L=int(math.sqrt(x))
mod=10**9+7
FACT=dict()
for i in range(2,L+2):
while x%i==0:
FACT[i]=FACT.get(i,0)+1
x=x//i
if x!=1:
FACT[x]=FACT.g... | output | 1 | 79,172 | 22 | 158,345 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will randomly pick one of the divisors of v (possibly... | instruction | 0 | 79,173 | 22 | 158,346 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
from collections import defaultdict
n, k = [int(i) for i in input().split()]
p = 10 ** 9 + 7
def factorize(n):
i = 2
A = defaultdict(int)
while n % i == 0:
n //= i
A[i] += 1
i += 1
while n != 1 and i * i <... | output | 1 | 79,173 | 22 | 158,347 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will randomly pick one of the divisors of v (possibly... | instruction | 0 | 79,174 | 22 | 158,348 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
def primeFactor(N):
i = 2
ret = {}
n = N
mrFlg = 0
if n < 0:
ret[-1] = 1
n = -n
if n == 0:
ret[0] = 1
while i**2 <= n:
k = 0
while n % i == 0:
n //= i
k += 1
... | output | 1 | 79,174 | 22 | 158,349 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will r... | instruction | 0 | 79,175 | 22 | 158,350 |
Yes | output | 1 | 79,175 | 22 | 158,351 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will r... | instruction | 0 | 79,176 | 22 | 158,352 |
Yes | output | 1 | 79,176 | 22 | 158,353 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will r... | instruction | 0 | 79,177 | 22 | 158,354 |
Yes | output | 1 | 79,177 | 22 | 158,355 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will r... | instruction | 0 | 79,178 | 22 | 158,356 |
Yes | output | 1 | 79,178 | 22 | 158,357 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will r... | instruction | 0 | 79,179 | 22 | 158,358 |
No | output | 1 | 79,179 | 22 | 158,359 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will r... | instruction | 0 | 79,180 | 22 | 158,360 |
No | output | 1 | 79,180 | 22 | 158,361 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will r... | instruction | 0 | 79,181 | 22 | 158,362 |
No | output | 1 | 79,181 | 22 | 158,363 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Makoto has a big blackboard with a positive integer n written on it. He will perform the following action exactly k times:
Suppose the number currently written on the blackboard is v. He will r... | instruction | 0 | 79,182 | 22 | 158,364 |
No | output | 1 | 79,182 | 22 | 158,365 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers.
Your task is to say the number of such positive integers x such that x divides each number from the array. In other words, you have to find the number of common divisors of all elements in ... | instruction | 0 | 79,235 | 22 | 158,470 |
Tags: implementation, math
Correct Solution:
```
import math
n = int(input())
nub = list(map(int, input().split()))
temp = 0
for elem in nub:
temp = math.gcd(temp, elem)
count = 0
i = 1
while (i*i) <= temp:
if temp%i == 0:
count += 1
if (i*i) != temp:
count += 1
i += 1
print(coun... | output | 1 | 79,235 | 22 | 158,471 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers.
Your task is to say the number of such positive integers x such that x divides each number from the array. In other words, you have to find the number of common divisors of all elements in ... | instruction | 0 | 79,236 | 22 | 158,472 |
Tags: implementation, math
Correct Solution:
```
import math
n = int(input())
a = list(map(int,input().split()))
g = 0
for i in range(n):
g = math.gcd(g,a[i])
i = 1
count = 0
while (i*i<=g):
if (i*i==g):
count += 1
elif (g%i==0):
count += 2
i += 1
print (count)
``` | output | 1 | 79,236 | 22 | 158,473 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers.
Your task is to say the number of such positive integers x such that x divides each number from the array. In other words, you have to find the number of common divisors of all elements in ... | instruction | 0 | 79,237 | 22 | 158,474 |
Tags: implementation, math
Correct Solution:
```
n=int(input())
A=list(map(int,input().split()))
GCD=0
import math
for a in A:
GCD=math.gcd(GCD,a)
x=GCD
L=int(math.sqrt(x))
FACT=dict()
for i in range(2,L+2):
while x%i==0:
FACT[i]=FACT.get(i,0)+1
x=x//i
if x!=1:
FACT[x]=FACT.get(x,0)+1
... | output | 1 | 79,237 | 22 | 158,475 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers.
Your task is to say the number of such positive integers x such that x divides each number from the array. In other words, you have to find the number of common divisors of all elements in ... | instruction | 0 | 79,238 | 22 | 158,476 |
Tags: implementation, math
Correct Solution:
```
import math
n = int(input())
x = 0
for q in map(int,input().split()):
x = math.gcd(x,q)
ans = 0
for q in range(1,int(math.sqrt(x))+1):
ans+= 2*(x%q==0)
print(ans-(int(math.sqrt(x))**2==x))
``` | output | 1 | 79,238 | 22 | 158,477 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers.
Your task is to say the number of such positive integers x such that x divides each number from the array. In other words, you have to find the number of common divisors of all elements in ... | instruction | 0 | 79,239 | 22 | 158,478 |
Tags: implementation, math
Correct Solution:
```
from functools import reduce
def sieve(n):
numbers = list(range(2, n+1))
i = 0
while i < len(numbers) and (numbers[i] * 2) - 2 <= len(numbers):
if (numbers[i] > 0):
prime = numbers[i]
for j in range(prime * prime - 2, len(numb... | output | 1 | 79,239 | 22 | 158,479 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers.
Your task is to say the number of such positive integers x such that x divides each number from the array. In other words, you have to find the number of common divisors of all elements in ... | instruction | 0 | 79,240 | 22 | 158,480 |
Tags: implementation, math
Correct Solution:
```
# code by RAJ BHAVSAR
def helper(n):
ans = 0
i = 1
while(i*i <= n):
if(n%i == 0):
ans += 1
if(n//i != i):
ans += 1
i += 1
return ans
from math import gcd
n = int(input())
arr = list(map(int,input().split()))
if(n == 1):
print(helper(arr[0]))
else:
a... | output | 1 | 79,240 | 22 | 158,481 |
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