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.
Sasha likes investigating different math objects, for example, magic squares. But Sasha understands that magic squares have already been studied by hundreds of people, so he sees no sense of studying them further. Instead, he invented his ow... | instruction | 0 | 44,808 | 22 | 89,616 |
Tags: constructive algorithms, math
Correct Solution:
```
import sys
import bisect as bi
import math as mt
import collections as cc
import heapq as hp
input=sys.stdin.readline
I=lambda:list(map(int,input().split()))
N=101
pr=[0]*(N)
for i in range(2,N):
if not pr[i]:
for j in range(i*2,N,i):
pr[... | output | 1 | 44,808 | 22 | 89,617 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Sasha likes investigating different math objects, for example, magic squares. But Sasha understands that magic squares have already been studied by hundreds of people, so he sees no sense of studying them further. Instead, he invented his ow... | instruction | 0 | 44,809 | 22 | 89,618 |
Tags: constructive algorithms, math
Correct Solution:
```
dic = {2:1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1, 8: 4, 9: 9, 10: 4, 11: 1, 12: 6,
13: 1, 14: 4, 15: 8, 16: 4, 17: 1, 18: 6, 19: 1, 20: 10, 21: 9, 22: 6, 23: 1,
24: 6, 25: 4, 26: 4, 27: 6, 28: 4, 29: 1, ... | output | 1 | 44,809 | 22 | 89,619 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Sasha likes investigating different math objects, for example, magic squares. But Sasha understands that magic squares have already been studied by hundreds of people, so he sees no sense of studying them further. Instead, he invented his ow... | instruction | 0 | 44,810 | 22 | 89,620 |
Tags: constructive algorithms, math
Correct Solution:
```
def prime(n):
if (n <= 1):
return False
if (n <= 3):
return True
if (n % 2 == 0 or n % 3 == 0):
return False
i=5
while i * i <= n:
if (n % i == 0 or n % (i + 2) == 0):
return False
i = i + 6... | output | 1 | 44,810 | 22 | 89,621 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Sasha likes investigating different math objects, for example, magic squares. But Sasha understands that magic squares have already been studied by hundreds of people, so he sees no sense of studying them further. Instead, he invented his ow... | instruction | 0 | 44,811 | 22 | 89,622 |
Tags: constructive algorithms, math
Correct Solution:
```
import sys
input = sys.stdin.readline
I = lambda : list(map(int,input().split()))
t,=I()
def isp(x):
a=1
for i in range(2,int(x**0.5)+1):
if x%i==0:
a=0;break
return a
for i in range(t):
n,=I()
an=[[0]*n for i in range(n)]
if isp(n):
an=[[1]*n for ... | output | 1 | 44,811 | 22 | 89,623 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasing, and it has a number of remarkable properties... | instruction | 0 | 44,954 | 22 | 89,908 |
Tags: brute force, implementation, math, number theory
Correct Solution:
```
p, q = map(int, input().split())
n = 1200000
t = [0, q] * 600000
for i in range(3, 1096, 2):
if t[i]:
for j in range(i * i, n, i): t[j] = 0
t[1], t[2] = -p, q - p
for i in range(3, 10): t[i] -= p
for i in range(1, 1000):
u = st... | output | 1 | 44,954 | 22 | 89,909 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasing, and it has a number of remarkable properties... | instruction | 0 | 44,955 | 22 | 89,910 |
Tags: brute force, implementation, math, number theory
Correct Solution:
```
import sys
p,q = map(int,sys.stdin.readline().split())
def prime(n):
#print(int(n**0.5))
for div in range(2,int(n**0.5)+1):
if n%div==0:
return False
return True
def palindrom(n):
n = str(n)
for p... | output | 1 | 44,955 | 22 | 89,911 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasing, and it has a number of remarkable properties... | instruction | 0 | 44,956 | 22 | 89,912 |
Tags: brute force, implementation, math, number theory
Correct Solution:
```
def main():
p, q = map(int, input().split())
lim = 1179860
sieve = [0, q] * (lim // 2)
for i in range(3, int(lim ** .5) + 1, 2):
if sieve[i]:
for j in range(i * i, lim, i):
sieve[j] = 0
s... | output | 1 | 44,956 | 22 | 89,913 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasin... | instruction | 0 | 44,957 | 22 | 89,914 |
No | output | 1 | 44,957 | 22 | 89,915 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasin... | instruction | 0 | 44,958 | 22 | 89,916 |
No | output | 1 | 44,958 | 22 | 89,917 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasin... | instruction | 0 | 44,959 | 22 | 89,918 |
No | output | 1 | 44,959 | 22 | 89,919 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasin... | instruction | 0 | 44,960 | 22 | 89,920 |
No | output | 1 | 44,960 | 22 | 89,921 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
Input
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20)... | instruction | 0 | 45,063 | 22 | 90,126 |
Tags: implementation, math, number theory
Correct Solution:
```
number, nb_factors = [int(x) for x in input().split()]
ans = []
done = 1
now = 2
while done < nb_factors and number > 1:
while number % now == 0 and done < nb_factors:
ans.append(now)
done += 1
number//=now
now += 1
ans... | output | 1 | 45,063 | 22 | 90,127 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
Input
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20)... | instruction | 0 | 45,064 | 22 | 90,128 |
Tags: implementation, math, number theory
Correct Solution:
```
n, k = [int(x) for x in input().strip().split(' ')]
result = []
d = 2
while True:
if len(result) == k-1:
break
if d > n:
break
if n % d == 0:
n = n/d
result.append(d)
else:
d += 1
if int(n) > 1:
... | output | 1 | 45,064 | 22 | 90,129 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
Input
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20)... | instruction | 0 | 45,065 | 22 | 90,130 |
Tags: implementation, math, number theory
Correct Solution:
```
n, k = map(int, input().split())
m = 2
k_list = []
while m <= n:
if len(k_list) == k - 1:
k_list.append(n)
print(" ".join(map(str, k_list)))
exit()
if n % m == 0:
n //= m
k_list.append(m)
continue
... | output | 1 | 45,065 | 22 | 90,131 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
Input
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20)... | instruction | 0 | 45,066 | 22 | 90,132 |
Tags: implementation, math, number theory
Correct Solution:
```
n, k = map(int,input().split())
a = []
i = 2
if k == 1:
print(n)
quit()
while i < n:
while not n % i:
n //= i
a.append(i)
if len(a) == k - 1:
break
if len(a) == k - 1:
break;
i += 1
if n <= 1 or len(a) < k - 1 or (n == 1 and... | output | 1 | 45,066 | 22 | 90,133 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
Input
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20)... | instruction | 0 | 45,067 | 22 | 90,134 |
Tags: implementation, math, number theory
Correct Solution:
```
n, k = [int(x) for x in input().split()]
fac = []
a = n
while n > 1:
for i in range(2, n+1):
if n % i == 0:
fac += [i]
n //= i
break
if len(fac) < k:
print(-1)
else:
wyn = 1
for i in range(k-1):
... | output | 1 | 45,067 | 22 | 90,135 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
Input
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20)... | instruction | 0 | 45,068 | 22 | 90,136 |
Tags: implementation, math, number theory
Correct Solution:
```
from math import sqrt
def delit(n, k):
f = list()
for i in range(2, int(sqrt(n)) + 1):
if n % i == 0:
while n % i == 0:
f.append(i)
n //= i
if n != 1:
f.append(n)
if k > len(f):
... | output | 1 | 45,068 | 22 | 90,137 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
Input
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20)... | instruction | 0 | 45,069 | 22 | 90,138 |
Tags: implementation, math, number theory
Correct Solution:
```
def STR(): return list(input())
def INT(): return int(input())
def MAP(): return map(int, input().split())
def MAP2():return map(float,input().split())
def LIST(): return list(map(int, input().split()))
def STRING(): return input()
import string
import sy... | output | 1 | 45,069 | 22 | 90,139 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
Input
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20)... | instruction | 0 | 45,070 | 22 | 90,140 |
Tags: implementation, math, number theory
Correct Solution:
```
from math import *
def factor(x):
global k,l
#print("yes")
if x==1: return
if k==1:
l.append(str(x))
return
f=0
for i in range(2,int(sqrt(x))+1):
if (x%i)==0:
k,f=k-1,1
l.append... | output | 1 | 45,070 | 22 | 90,141 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
Input
The first line contains tw... | instruction | 0 | 45,075 | 22 | 90,150 |
No | output | 1 | 45,075 | 22 | 90,151 |
Provide a correct Python 3 solution for this coding contest problem.
Process the Q queries below.
* You are given two integers A_i and M_i. Determine whether there exists a positive integer K_i not exceeding 2 × 10^{18} such that A_i^{K_i} ≡ K_i (mod M_i), and find one if it exists.
Constraints
* 1 \leq Q \leq 100
... | instruction | 0 | 45,263 | 22 | 90,526 |
"Correct Solution:
```
from math import gcd
def euler_phi(n):
res=n
for x in range(2,int(n**.5)+2):
if n%x==0:
res=(res//x)*(x-1)
while n%x==0:
n//=x
if n!=1:
res=(res//n)*(n-1)
return res
def biggcd(n,m):
g=gcd(n,m);res=g;count=2
while gc... | output | 1 | 45,263 | 22 | 90,527 |
Provide a correct Python 3 solution for this coding contest problem.
Process the Q queries below.
* You are given two integers A_i and M_i. Determine whether there exists a positive integer K_i not exceeding 2 × 10^{18} such that A_i^{K_i} ≡ K_i (mod M_i), and find one if it exists.
Constraints
* 1 \leq Q \leq 100
... | instruction | 0 | 45,264 | 22 | 90,528 |
"Correct Solution:
```
from math import gcd
def get_sieve_of_eratosthenes_new(n):
import math
if not isinstance(n, int):
raise TypeError('n is int type.')
if n < 2:
raise ValueError('n is more than 2')
prime = []
limit = math.sqrt(n)
data = [i + 1 for i in range(1, n)]
while... | output | 1 | 45,264 | 22 | 90,529 |
Provide a correct Python 3 solution for this coding contest problem.
Process the Q queries below.
* You are given two integers A_i and M_i. Determine whether there exists a positive integer K_i not exceeding 2 × 10^{18} such that A_i^{K_i} ≡ K_i (mod M_i), and find one if it exists.
Constraints
* 1 \leq Q \leq 100
... | instruction | 0 | 45,265 | 22 | 90,530 |
"Correct Solution:
```
def extgcd(a, b):
if b == 0:
return 1
else:
x, y, u, v, k, l = 1, 0, 0, 1, a, b
while l != 0:
x, y, u, v = u, v, x - u * (k // l), y - v * (k // l)
k, l = l, k % l
return x
def inved(x, m):
return x % m
def gcd(x, y):
while y != 0:
x, y = y, x % y
return ... | output | 1 | 45,265 | 22 | 90,531 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Process the Q queries below.
* You are given two integers A_i and M_i. Determine whether there exists a positive integer K_i not exceeding 2 × 10^{18} such that A_i^{K_i} ≡ K_i (mod M_i), and f... | instruction | 0 | 45,266 | 22 | 90,532 |
No | output | 1 | 45,266 | 22 | 90,533 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Process the Q queries below.
* You are given two integers A_i and M_i. Determine whether there exists a positive integer K_i not exceeding 2 × 10^{18} such that A_i^{K_i} ≡ K_i (mod M_i), and f... | instruction | 0 | 45,267 | 22 | 90,534 |
No | output | 1 | 45,267 | 22 | 90,535 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Process the Q queries below.
* You are given two integers A_i and M_i. Determine whether there exists a positive integer K_i not exceeding 2 × 10^{18} such that A_i^{K_i} ≡ K_i (mod M_i), and f... | instruction | 0 | 45,268 | 22 | 90,536 |
No | output | 1 | 45,268 | 22 | 90,537 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number n (11, 19, 23, etc.) that divides by 4 and has 3 has an interesting property. The results of calculating the remainder of the square of a natural number (1, 2, ..., n -1) of 1 or more and less than n divided by n are the same, so they ... | instruction | 0 | 45,298 | 22 | 90,596 |
"Correct Solution:
```
import sys
readline = sys.stdin.readline
write = sys.stdout.write
def solve():
N = int(readline())
if N == 0:
return False
if N == 1:
return True
*S, = set(i**2 % N for i in range(1, N))
S.sort()
L = len(S)
C = [0]*N
D = [0]*((N-1)//2)
for i in... | output | 1 | 45,298 | 22 | 90,597 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number n (11, 19, 23, etc.) that divides by 4 and has 3 has an interesting property. The results of calculating the remainder of the square of a natural number (1, 2, ..., n -1) of 1 or more and less than n divided by n are the same, so they ... | instruction | 0 | 45,299 | 22 | 90,598 |
"Correct Solution:
```
import itertools
def func(n):
rest= {i**2%n for i in range(1,n)}
count=[0]*n
for x,y in itertools.combinations(rest,2):
count[x-y] +=2
for i in range(n//2):print(count[i+1]+count[n-i-1])
while True:
n = int(input())
if n == 0:break
func(n)
``` | output | 1 | 45,299 | 22 | 90,599 |
Provide a correct Python 3 solution for this coding contest problem.
A prime number n (11, 19, 23, etc.) that divides by 4 and has 3 has an interesting property. The results of calculating the remainder of the square of a natural number (1, 2, ..., n -1) of 1 or more and less than n divided by n are the same, so they ... | instruction | 0 | 45,300 | 22 | 90,600 |
"Correct Solution:
```
import itertools
def func(n):
rest = {i ** 2 % n for i in range(1, n)}
count = [0] * n
for x, y in itertools.combinations(rest, 2):
count[x - y] += 2
for i in range(n // 2):
print(count[i + 1] + count[n - i - 1])
def main():
while True:
n = int(input())
if n == 0:
... | output | 1 | 45,300 | 22 | 90,601 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number n (11, 19, 23, etc.) that divides by 4 and has 3 has an interesting property. The results of calculating the remainder of the square of a natural number (1, 2, ..., n -1) of 1 or ... | instruction | 0 | 45,301 | 22 | 90,602 |
No | output | 1 | 45,301 | 22 | 90,603 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number n (11, 19, 23, etc.) that divides by 4 and has 3 has an interesting property. The results of calculating the remainder of the square of a natural number (1, 2, ..., n -1) of 1 or ... | instruction | 0 | 45,302 | 22 | 90,604 |
No | output | 1 | 45,302 | 22 | 90,605 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number n (11, 19, 23, etc.) that divides by 4 and has 3 has an interesting property. The results of calculating the remainder of the square of a natural number (1, 2, ..., n -1) of 1 or ... | instruction | 0 | 45,303 | 22 | 90,606 |
No | output | 1 | 45,303 | 22 | 90,607 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A prime number n (11, 19, 23, etc.) that divides by 4 and has 3 has an interesting property. The results of calculating the remainder of the square of a natural number (1, 2, ..., n -1) of 1 or ... | instruction | 0 | 45,304 | 22 | 90,608 |
No | output | 1 | 45,304 | 22 | 90,609 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In a very ancient country the following game was popular. Two people play the game. Initially first player writes a string s1, consisting of exactly nine digits and representing a number that do... | instruction | 0 | 45,463 | 22 | 90,926 |
No | output | 1 | 45,463 | 22 | 90,927 |
Provide tags and a correct Python 2 solution for this coding contest problem.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and asked you to find the smallest positive integer a... | instruction | 0 | 45,603 | 22 | 91,206 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
""" Python 3 compatibility tools. """
from __future__ import division, print_function
import itertools
import sys
import os
from io import BytesIO
from atexit import register
if sys.version_info[0] < 3:
input = raw_inpu... | output | 1 | 45,603 | 22 | 91,207 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and asked you to find the smallest positive integer a... | instruction | 0 | 45,604 | 22 | 91,208 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
import math
def lcm(a, b):
return abs(a*b) // math.gcd(a, b)
def isprime(n):
for q in range(2, int(math.sqrt(n))+1):
if n%q == 0:
return False
return True
for _ in range(int(input())):
... | output | 1 | 45,604 | 22 | 91,209 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and asked you to find the smallest positive integer a... | instruction | 0 | 45,605 | 22 | 91,210 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
'''
6
1
2
3
4
5
6
'''
from math import gcd
t = int(input())
def is_prime(x):
return all(x % i for i in range(2, int(x**0.5)+1))
def next_prime(x):
for a in range(x+1, 2*x):
if is_prime(a):
r... | output | 1 | 45,605 | 22 | 91,211 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and asked you to find the smallest positive integer a... | instruction | 0 | 45,606 | 22 | 91,212 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
def isprime(n) :
while isPrime[n] == False :
n += 1
return n
def prime(n) :
i = 2
while i < n :
if isPrime[i] == True :
j = 2
while i*j < n :
isPrime[i*j] = False
j += 1
i += ... | output | 1 | 45,606 | 22 | 91,213 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and asked you to find the smallest positive integer a... | instruction | 0 | 45,607 | 22 | 91,214 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
import math
def isPrime(n):
if (n <= 1):
return False
if (n <= 3):
return True
if (n % 2 == 0 or n % 3 == 0):
return False
for i in range(5, int(math.sqrt(n) + 1), 6):
if ... | output | 1 | 45,607 | 22 | 91,215 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and asked you to find the smallest positive integer a... | instruction | 0 | 45,608 | 22 | 91,216 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
def isprime(n):
for i in range(2,int(n**0.5//1)+1):
if(n%i==0):
return 0
return 1
t=int(input())
for i in range(t):
d=int(input())
a=d+1
while(not isprime(a)):
a+=1
b=a+d
... | output | 1 | 45,608 | 22 | 91,217 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and asked you to find the smallest positive integer a... | instruction | 0 | 45,609 | 22 | 91,218 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
import sys
import math
import collections
import bisect
import string
def get_ints(): return map(int, sys.stdin.readline().strip().split())
def get_list(): return list(map(int, sys.stdin.readline().strip().split()))
def get_... | output | 1 | 45,609 | 22 | 91,219 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and asked you to find the smallest positive integer a... | instruction | 0 | 45,610 | 22 | 91,220 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
def f(n):
if n == 2:
return True
for i in range(2, int(n**0.5)+2):
if n % i == 0:
return False
return True
t = int(input())
for i in range(t):
n = int(input())
e1 = n+1
wh... | output | 1 | 45,610 | 22 | 91,221 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and asked you to find the smallest positive integer a... | instruction | 0 | 45,611 | 22 | 91,222 |
Tags: binary search, constructive algorithms, greedy, math, number theory
Correct Solution:
```
from bisect import *
n=10**5
i=2
p=[1]*(n+1)
while i*i<=n:
if p[i]:
j=i*i
while j<=n:
p[j]=0
j+=i
i+=1
b=[]
for i in range(2,n+1):
if p[i]:
b.append(i)
for _ in ran... | output | 1 | 45,611 | 22 | 91,223 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and as... | instruction | 0 | 45,612 | 22 | 91,224 |
Yes | output | 1 | 45,612 | 22 | 91,225 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and as... | instruction | 0 | 45,613 | 22 | 91,226 |
Yes | output | 1 | 45,613 | 22 | 91,227 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and as... | instruction | 0 | 45,614 | 22 | 91,228 |
Yes | output | 1 | 45,614 | 22 | 91,229 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and as... | instruction | 0 | 45,615 | 22 | 91,230 |
Yes | output | 1 | 45,615 | 22 | 91,231 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and as... | instruction | 0 | 45,616 | 22 | 91,232 |
No | output | 1 | 45,616 | 22 | 91,233 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and as... | instruction | 0 | 45,617 | 22 | 91,234 |
No | output | 1 | 45,617 | 22 | 91,235 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Positive integer x is called divisor of positive integer y, if y is divisible by x without remainder. For example, 1 is a divisor of 7 and 3 is not divisor of 8.
We gave you an integer d and as... | instruction | 0 | 45,618 | 22 | 91,236 |
No | output | 1 | 45,618 | 22 | 91,237 |
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