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 denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
<image>
Find the sum modulo 1073741824 (230).
Input
The first line contains three ... | instruction | 0 | 37,982 | 22 | 75,964 |
Tags: implementation, number theory
Correct Solution:
```
def main():
MOD = 2 ** 30
a, b, c = [int(i) for i in input().split()]
n = a * b * c
dp = [0 for i in range(n + 1)]
for i in range(1, n + 1):
for j in range(i, n + 1, i):
dp[j] += 1
sm = 0
for i in range(1, a +... | output | 1 | 37,982 | 22 | 75,965 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
<image>
Find the sum modulo 107374182... | instruction | 0 | 37,983 | 22 | 75,966 |
Yes | output | 1 | 37,983 | 22 | 75,967 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
<image>
Find the sum modulo 107374182... | instruction | 0 | 37,984 | 22 | 75,968 |
Yes | output | 1 | 37,984 | 22 | 75,969 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
<image>
Find the sum modulo 107374182... | instruction | 0 | 37,985 | 22 | 75,970 |
Yes | output | 1 | 37,985 | 22 | 75,971 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
<image>
Find the sum modulo 107374182... | instruction | 0 | 37,986 | 22 | 75,972 |
Yes | output | 1 | 37,986 | 22 | 75,973 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
<image>
Find the sum modulo 107374182... | instruction | 0 | 37,987 | 22 | 75,974 |
No | output | 1 | 37,987 | 22 | 75,975 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
<image>
Find the sum modulo 107374182... | instruction | 0 | 37,988 | 22 | 75,976 |
No | output | 1 | 37,988 | 22 | 75,977 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
<image>
Find the sum modulo 107374182... | instruction | 0 | 37,989 | 22 | 75,978 |
No | output | 1 | 37,989 | 22 | 75,979 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
<image>
Find the sum modulo 107374182... | instruction | 0 | 37,990 | 22 | 75,980 |
No | output | 1 | 37,990 | 22 | 75,981 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modular Equation, as Hamed's teacher described, is a... | instruction | 0 | 38,065 | 22 | 76,130 |
Tags: math, number theory
Correct Solution:
```
a, b = map(int, input().split())
k, val = 1, 0
while k * k <= a - b:
if (a - b) % k == 0:
val += sum(1 for x in {k, (a - b) // k} if x > b)
k += 1
print('infinity' if a == b else val)
``` | output | 1 | 38,065 | 22 | 76,131 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modular Equation, as Hamed's teacher described, is a... | instruction | 0 | 38,066 | 22 | 76,132 |
Tags: math, number theory
Correct Solution:
```
from math import *
a, b = map( int, input().split() )
if( a < b ):
print( 0 )
elif( a == b ):
print( "infinity" )
else:
a -= b
cnt = 0
last = int( sqrt( a ) )
for i in range( 1, ( last + 1 ) ):
if( a % i == 0 ):
if( i > b ):
cnt += 1
if( ( a//i > b )... | output | 1 | 38,066 | 22 | 76,133 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modular Equation, as Hamed's teacher described, is a... | instruction | 0 | 38,067 | 22 | 76,134 |
Tags: math, number theory
Correct Solution:
```
arr = [int(x) for x in input().split()]
a = arr[0]
b = arr[1]
resp = 0
if a == b:
resp = 'infinity'
if resp != 'infinity':
x = a - b
i = 1
c = 0
while i**2 < x:
c += 1
if x % i == 0:
if i > b:
resp += 1
if x/i > b:
resp += 1
... | output | 1 | 38,067 | 22 | 76,135 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modular Equation, as Hamed's teacher described, is a... | instruction | 0 | 38,068 | 22 | 76,136 |
Tags: math, number theory
Correct Solution:
```
a=input().split()
n=int(a[0]);m=int(a[1])
ans=0
if n<m :
print('0')
else :
if n==m:
print("infinity")
else :
i=1
n=n-m
while i*i<n:
if n%i==0:
if i>m:
ans=ans+1
if ... | output | 1 | 38,068 | 22 | 76,137 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modular Equation, as Hamed's teacher described, is a... | instruction | 0 | 38,069 | 22 | 76,138 |
Tags: math, number theory
Correct Solution:
```
a, b = list(map(int,input().split()))
if a == b:
print("infinity")
exit(0)
a, ans = a - b, 0
for i in range(1,a+1):
if i * i > a: break
if a % i != 0: continue
if i > b: ans += 1
if i != a // i and a // i > b: ans += 1
print(ans)
``` | output | 1 | 38,069 | 22 | 76,139 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modular Equation, as Hamed's teacher described, is a... | instruction | 0 | 38,070 | 22 | 76,140 |
Tags: math, number theory
Correct Solution:
```
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
import time
#
(a, b) = (int(i) for i in input().split())
start = time.time()
ans = 0
if ( a == b):
ans = "infinity"
elif (a > b):
i = 1
max = (a-b) ** 0.5
while(i <= max ):
if (divmod(a-b, i)[1]... | output | 1 | 38,070 | 22 | 76,141 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modular Equation, as Hamed's teacher described, is a... | instruction | 0 | 38,071 | 22 | 76,142 |
Tags: math, number theory
Correct Solution:
```
import sys
def fastio():
from io import StringIO
from atexit import register
global input
sys.stdin = StringIO(sys.stdin.read())
input = lambda : sys.stdin.readline().rstrip('\r\n')
sys.stdout = StringIO()
register(lambda : sys.__stdout__.write... | output | 1 | 38,071 | 22 | 76,143 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modular Equation, as Hamed's teacher described, is a... | instruction | 0 | 38,072 | 22 | 76,144 |
Tags: math, number theory
Correct Solution:
```
def printDivisors(n) :
ans = []
for i in range(1, int(n ** 0.5 + 1)):
if n % i == 0:
if n // i == i:
ans.append(i)
else:
ans.append(i)
ans.append(n//i)
return sorted(ans)
a, b = ... | output | 1 | 38,072 | 22 | 76,145 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modul... | instruction | 0 | 38,073 | 22 | 76,146 |
Yes | output | 1 | 38,073 | 22 | 76,147 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modul... | instruction | 0 | 38,074 | 22 | 76,148 |
Yes | output | 1 | 38,074 | 22 | 76,149 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modul... | instruction | 0 | 38,075 | 22 | 76,150 |
Yes | output | 1 | 38,075 | 22 | 76,151 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modul... | instruction | 0 | 38,076 | 22 | 76,152 |
Yes | output | 1 | 38,076 | 22 | 76,153 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modul... | instruction | 0 | 38,077 | 22 | 76,154 |
No | output | 1 | 38,077 | 22 | 76,155 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modul... | instruction | 0 | 38,078 | 22 | 76,156 |
No | output | 1 | 38,078 | 22 | 76,157 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modul... | instruction | 0 | 38,079 | 22 | 76,158 |
No | output | 1 | 38,079 | 22 | 76,159 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modul... | instruction | 0 | 38,080 | 22 | 76,160 |
No | output | 1 | 38,080 | 22 | 76,161 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is the password to the secret data base. Now he wan... | instruction | 0 | 38,111 | 22 | 76,222 |
Tags: math, number theory
Correct Solution:
```
mod_number = 10 ** 9 + 7
def power_mod(n, p):
if p < 2:
return (n ** p) % mod_number
sub_result = power_mod(n, p // 2)
if p % 2 == 0:
return (sub_result ** 2) % mod_number
else:
return (sub_result ** 2 * n) % mod_number
def get_... | output | 1 | 38,111 | 22 | 76,223 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is the password to the secret data base. Now he wan... | instruction | 0 | 38,112 | 22 | 76,224 |
Tags: math, number theory
Correct Solution:
```
MOD = 10 ** 9 + 7
ans = 1
tau = 1
N = 200005
cnt = [0] * N
n = int(input())
for x in input().split() :
cnt[int(x)] += 1
for i in range(1, N) :
if cnt[i] == 0 : continue
ans = pow (ans, cnt[i] + 1, MOD) * pow (i, cnt[i] * (cnt[i] + 1) // 2 % (MOD - 1) * tau % (MOD - 1... | output | 1 | 38,112 | 22 | 76,225 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is the password to the secret data base. Now he wan... | instruction | 0 | 38,113 | 22 | 76,226 |
Tags: math, number theory
Correct Solution:
```
from functools import reduce
import sys
#f = open('test', 'r')
#sys.stdin = f
m = int(input())
p = 10**9 + 7
dividors = [int(x) for x in input().split()]
D = {}
for d in dividors:
if d in D:
D[d] += 1
else:
D[d] = 1
prod = reduce(lambda x,y : x*y%... | output | 1 | 38,113 | 22 | 76,227 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is the password to the secret data base. Now he wan... | instruction | 0 | 38,114 | 22 | 76,228 |
Tags: math, number theory
Correct Solution:
```
M = 10 ** 9 + 7
m = int(input())
A = list(map(int, input().split()))
D = {}
for i in A:
if i not in D:
D[i] = 0
D[i] += 1
alph = 1
for j in D:
alph *= (D[j] + 1)
ans = 1
for j in D:
ans *= pow(j, alph * D[j] // 2 % (M - 1), M)
ans %= M
print(an... | output | 1 | 38,114 | 22 | 76,229 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is the password to the secret data base. Now he wan... | instruction | 0 | 38,115 | 22 | 76,230 |
Tags: math, number theory
Correct Solution:
```
MD = 1000000007
m = int(input())
p = list(map(int, input().split()))
q = {}
for el in p:
if el in q:
q[el] += 1
else:
q[el] = 2
sum1 = 1
sum2 = 1
for el in q:
sum1=sum1*q[el]
sum2=sum2*pow(el,(q[el]-1),MD)
sum=pow(sum2,sum1//2,MD)
if sum1 %... | output | 1 | 38,115 | 22 | 76,231 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is the password to the secret data base. Now he wan... | instruction | 0 | 38,116 | 22 | 76,232 |
Tags: math, number theory
Correct Solution:
```
m = int(input())
primes = list(map(int, input().split()))
dict = {}
result = 1
for p in primes:
dict[p] = dict.get(p, 0) + 1
mult = 1
for x in dict.values():
mult *= x + 1
mult %= 2*(10**9+6)
for x, y in dict.items():
result *= pow(x, (y*mult)//2, 10**9... | output | 1 | 38,116 | 22 | 76,233 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is the password to the secret data base. Now he wan... | instruction | 0 | 38,117 | 22 | 76,234 |
Tags: math, number theory
Correct Solution:
```
from collections import Counter
M = 10**9 + 7
def multipliers(pfs):
y = 1
for c in pfs.values():
y *= c+1
if y % 2:
sx = 1
for p, c in pfs.items():
sx = (sx * pow(p, c//2, M)) % M
return pow(sx, y, M)
else:
... | output | 1 | 38,117 | 22 | 76,235 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is the password to the secret data base. Now he wan... | instruction | 0 | 38,118 | 22 | 76,236 |
Tags: math, number theory
Correct Solution:
```
import sys
#Library Info(ACL for Python/Pypy) -> https://github.com/not522/ac-library-python
def input():
return sys.stdin.readline().rstrip()
DXY = [(0, -1), (1,0), (0, 1), (-1,0)] #L,D,R,Uの順番
mod = int(1e9 + 7)
from collections import defaultdict
def main():
... | output | 1 | 38,118 | 22 | 76,237 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is t... | instruction | 0 | 38,119 | 22 | 76,238 |
Yes | output | 1 | 38,119 | 22 | 76,239 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is t... | instruction | 0 | 38,120 | 22 | 76,240 |
Yes | output | 1 | 38,120 | 22 | 76,241 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is t... | instruction | 0 | 38,121 | 22 | 76,242 |
Yes | output | 1 | 38,121 | 22 | 76,243 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is t... | instruction | 0 | 38,122 | 22 | 76,244 |
Yes | output | 1 | 38,122 | 22 | 76,245 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is t... | instruction | 0 | 38,123 | 22 | 76,246 |
No | output | 1 | 38,123 | 22 | 76,247 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is t... | instruction | 0 | 38,124 | 22 | 76,248 |
No | output | 1 | 38,124 | 22 | 76,249 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is t... | instruction | 0 | 38,125 | 22 | 76,250 |
No | output | 1 | 38,125 | 22 | 76,251 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n taken modulo 109 + 7 is t... | instruction | 0 | 38,126 | 22 | 76,252 |
No | output | 1 | 38,126 | 22 | 76,253 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum possible integer x that can be the guessed number, ... | instruction | 0 | 38,714 | 22 | 77,428 |
Tags: math, number theory
Correct Solution:
```
from functools import reduce
def factors(n):
return set(reduce(list.__add__, ([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0)))
for _ in range(int(input())):
N = int(input())
List = [int(x) for x in input().split()]
List.sort()
Ans = L... | output | 1 | 38,714 | 22 | 77,429 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum possible integer x that can be the guessed number, ... | instruction | 0 | 38,715 | 22 | 77,430 |
Tags: math, number theory
Correct Solution:
```
import math
t = int(input())
for i in range(t):
n = int(input())
a = list(map(int,input().split()))
a.sort()
qw = []
qwqw = []
c = 0
for j in range(math.ceil(len(a) / 2)):
qw.append(a[j] * a[len(a) - j - 1])
if qw.count(qw[0]) == l... | output | 1 | 38,715 | 22 | 77,431 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum possible integer x that can be the guessed number, ... | instruction | 0 | 38,716 | 22 | 77,432 |
Tags: math, number theory
Correct Solution:
```
t=int(input())
def prov1(a):
pp=a[0]*a[-1]
for i in range(len(a)):
if a[i]*a[-1-i]!=pp: return -1
return pp
def kkk(a):
i=2
d=0
while i*i<a:
if a%i==0:
d+=2
i+=1
if i*i==a: d+=1
return d
def koka(a,b):
... | output | 1 | 38,716 | 22 | 77,433 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum possible integer x that can be the guessed number, ... | instruction | 0 | 38,717 | 22 | 77,434 |
Tags: math, number theory
Correct Solution:
```
def dl(x):
d = 2
new = []
while d * d < x:
if x % d == 0:
new.append(d)
new.append(x // d)
d += 1
if d * d == x:
new.append(d)
return new
t = int(input())
for i in range(t):
n = int(input())
sp = list(map(int, input().split()))
sp.sort()
ch = sp[0] ... | output | 1 | 38,717 | 22 | 77,435 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum possible integer x that can be the guessed number, ... | instruction | 0 | 38,718 | 22 | 77,436 |
Tags: math, number theory
Correct Solution:
```
import math
def getFirstSetBitPos(n):
return math.log2(n & -n) + 1
def find_div(x):
ls=[]
for i in range(2,int(x**0.5)+1):
if x%i==0:
ls.append(i)
if i!=x//i:
ls.append(x//i)
return sorted(ls)
for _ in range(int(input())):
n = int(input())
arr = list... | output | 1 | 38,718 | 22 | 77,437 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum possible integer x that can be the guessed number, ... | instruction | 0 | 38,719 | 22 | 77,438 |
Tags: math, number theory
Correct Solution:
```
def ans(arr):
i,j = 0,len(arr)-1
k = arr[i]*arr[j]
while i<=j:
if arr[i]*arr[j] != k:
return -1
i += 1
j -= 1
li =[]
i = 2
while i*i<=k:
if k%i==0:
li.append(i)
if i*i != k:
... | output | 1 | 38,719 | 22 | 77,439 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum possible integer x that can be the guessed number, ... | instruction | 0 | 38,720 | 22 | 77,440 |
Tags: math, number theory
Correct Solution:
```
for _ in range(int(input())):
n=int(input())
a=list(map(int,input().split()))
x=min(a)*max(a)
l=set()
d=2
while d*d<=x:
if not x%d:
l.add(d)
l.add(x//d)
d+=1
print(x if l==set(a) else -1)
``` | output | 1 | 38,720 | 22 | 77,441 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum possible integer x that can be the guessed number, ... | instruction | 0 | 38,721 | 22 | 77,442 |
Tags: math, number theory
Correct Solution:
```
from random import randint
from math import gcd
def pal(x):
p=False
a = randint(2, x - 1)
if gcd(a,x)==1:
if a**(x-1)%x==1:
p=True
else:
return False
return p
t = int(input())
for q in range(t):
n = int(inp... | output | 1 | 38,721 | 22 | 77,443 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum poss... | instruction | 0 | 38,722 | 22 | 77,444 |
Yes | output | 1 | 38,722 | 22 | 77,445 |
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