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.
You are given two integers a and b. Moreover, you are given a sequence s_0, s_1, ..., s_{n}. All values in s are integers 1 or -1. It's known that sequence is k-periodic and k divides n+1. In other words, for each k ≤ i ≤ n it's satisfied th... | instruction | 0 | 54,520 | 22 | 109,040 |
Tags: math, number theory
Correct Solution:
```
mod = 1000000009
def inv(x):
return pow(x,mod - 2, mod)
n, a, b, k = map(int, input().split())
s = input()
q = pow(b, k, mod) * inv(pow(a, k, mod))
t = 0
for i in range(k):
sgn = 1 if s[i] == '+' else -1
t += sgn * pow(a, n - i, mod) * pow(b, i, mod)
t %=... | output | 1 | 54,520 | 22 | 109,041 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. Moreover, you are given a sequence s_0, s_1, ..., s_{n}. All values in s are integers 1 or -1. It's known that sequence is k-periodic and k divides n+1. In other words, for each k ≤ i ≤ n it's satisfied th... | instruction | 0 | 54,521 | 22 | 109,042 |
Tags: math, number theory
Correct Solution:
```
n, a, b, k = map(int, input().split() )
s = input()
mod = (int)( 1e9 + 9 )
ans = 0
t = (int)( (n + 1) / k )
def modInverse(a):
return pow(a, mod - 2, mod)
i = 0
for ind in range( len(s) ):
first = ( pow(a, n - i, mod ) * pow( b, i, mod ) ) % mod
num ... | output | 1 | 54,521 | 22 | 109,043 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. Moreover, you are given a sequence s_0, s_1, ..., s_{n}. All values in s are integers 1 or -1. It's known that sequence is k-periodic and k divides n+1. In other words, for each k ≤ i ≤ n it's satisfied th... | instruction | 0 | 54,522 | 22 | 109,044 |
Tags: math, number theory
Correct Solution:
```
MOD = 1000000009
def inv(n):
return pow(n, MOD - 2, MOD)
n, a, b, k = map(int, input().split())
q = (n + 1) // k
string = input()
s = []
for char in string:
if char == "+": s.append(1)
else: s.append(-1)
res = 0 # final answer
for i in range(k):
re... | output | 1 | 54,522 | 22 | 109,045 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. Moreover, you are given a sequence s_0, s_1, ..., s_{n}. All values in s are integers 1 or -1. It's known that sequence is k-periodic and k divides n+1. In other words, for each k ≤ i ≤ n it's satisfied th... | instruction | 0 | 54,523 | 22 | 109,046 |
Tags: math, number theory
Correct Solution:
```
def pow_mod(x, y, p):
number = 1
while y:
if y & 1:
number = number * x % p
y >>= 1
x = x * x % p
return number % p
def inv(x, p):
if 1 < x:
return p - inv(p % x, x) * p // x
return 1
def v(p, a, b,... | output | 1 | 54,523 | 22 | 109,047 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. Moreover, you are given a sequence s_0, s_1, ..., s_{n}. All values in s are integers 1 or -1. It's known that sequence is k-periodic and k divides n+1. In other words, for each k ≤ i ≤ n it's satisfied th... | instruction | 0 | 54,524 | 22 | 109,048 |
Tags: math, number theory
Correct Solution:
```
MOD = int(1e9+9)
n, a, b, k = map(int, input().split())
s = input()
def solve():
res = 0
q = pow(b, k, MOD) * pow(pow(a, k, MOD), MOD-2, MOD) % MOD
max_pow = pow(a, n, MOD)
c = b * pow(a, MOD-2, MOD) % MOD
for i in range(k):
res += max_pow if ... | output | 1 | 54,524 | 22 | 109,049 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. Moreover, you are given a sequence s_0, s_1, ..., s_{n}. All values in s are integers 1 or -1. It's known that sequence is k-periodic and k divides n+1. In ot... | instruction | 0 | 54,525 | 22 | 109,050 |
No | output | 1 | 54,525 | 22 | 109,051 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. Moreover, you are given a sequence s_0, s_1, ..., s_{n}. All values in s are integers 1 or -1. It's known that sequence is k-periodic and k divides n+1. In ot... | instruction | 0 | 54,526 | 22 | 109,052 |
No | output | 1 | 54,526 | 22 | 109,053 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. Moreover, you are given a sequence s_0, s_1, ..., s_{n}. All values in s are integers 1 or -1. It's known that sequence is k-periodic and k divides n+1. In ot... | instruction | 0 | 54,527 | 22 | 109,054 |
No | output | 1 | 54,527 | 22 | 109,055 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. Moreover, you are given a sequence s_0, s_1, ..., s_{n}. All values in s are integers 1 or -1. It's known that sequence is k-periodic and k divides n+1. In ot... | instruction | 0 | 54,528 | 22 | 109,056 |
No | output | 1 | 54,528 | 22 | 109,057 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integers a, b and c such that l ≤ a,b,c ≤ r, and the... | instruction | 0 | 54,941 | 22 | 109,882 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
tests_number = int(input())
for _ in range(tests_number):
l, r, m = list(map(int, input().split()))
# m = n * a + b - c
# m + c - b = n * a
left_border = max(1, m + l - r)
right_border = m + r - l
result = (0, 0, 0)
... | output | 1 | 54,941 | 22 | 109,883 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integers a, b and c such that l ≤ a,b,c ≤ r, and the... | instruction | 0 | 54,942 | 22 | 109,884 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
import sys
input = sys.stdin.readline
for _ in range(int(input())):
l, r, m = map(int, input().split())
low = l - r
high = r - l
for a in range(l, r+1):
lo = 1
hi = (m+high)//a + 2
while lo < hi:
mi = (lo + hi) // 2
diff = ... | output | 1 | 54,942 | 22 | 109,885 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integers a, b and c such that l ≤ a,b,c ≤ r, and the... | instruction | 0 | 54,943 | 22 | 109,886 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
for _ in range(int(input())):
l,r,m = map(int,input().split())
rem = r - l
for i in range(l,r+1):
rem1 = m % i
if rem1 <= rem and m >= i:
print(i,l+rem1,l)
break
elif rem1 >= i - rem:
... | output | 1 | 54,943 | 22 | 109,887 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integers a, b and c such that l ≤ a,b,c ≤ r, and the... | instruction | 0 | 54,944 | 22 | 109,888 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
for t in range(int(input())):
l, r, m = [int(x) for x in input().strip().split()]
#print (l,l+m,l)
d=r-l
for i in range(l,r+1):
#peint(i,l,m)
v=m%i
if v<=d and m>=i:
print(i,l+v,l)
... | output | 1 | 54,944 | 22 | 109,889 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integers a, b and c such that l ≤ a,b,c ≤ r, and the... | instruction | 0 | 54,945 | 22 | 109,890 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
import random
def find_bc(diff, l, r):
if diff > 0:
return (r, r - diff)
elif diff == 0:
return (l, l)
else:
return (l, l - diff)
def solve(l, r, m):
starter = [l, l + 1, l + 2, r - 2, r - 1, r... | output | 1 | 54,945 | 22 | 109,891 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integers a, b and c such that l ≤ a,b,c ≤ r, and the... | instruction | 0 | 54,946 | 22 | 109,892 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
# ------------------- fast io --------------------
import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer ... | output | 1 | 54,946 | 22 | 109,893 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integers a, b and c such that l ≤ a,b,c ≤ r, and the... | instruction | 0 | 54,947 | 22 | 109,894 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
for _ in range(int(input())):
l, r, m = map(int, input().split())
if l == r == m:
print(l, r, m)
continue
for a in range(l, r + 1):
x = m % a
y = a - x
if m > a:
if x <= r - l:
... | output | 1 | 54,947 | 22 | 109,895 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integers a, b and c such that l ≤ a,b,c ≤ r, and the... | instruction | 0 | 54,948 | 22 | 109,896 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
tq = int(input())
for _ in range(tq):
l, r, m = map(int, input().split())
mn = l-r
mx = r-l
b, c = 0, 0
for a in range(l, r+1):
d = m%a
if d >= mn and d <= mx and m >= a:
b = l
c = b-... | output | 1 | 54,948 | 22 | 109,897 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integ... | instruction | 0 | 54,949 | 22 | 109,898 |
Yes | output | 1 | 54,949 | 22 | 109,899 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integ... | instruction | 0 | 54,950 | 22 | 109,900 |
Yes | output | 1 | 54,950 | 22 | 109,901 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integ... | instruction | 0 | 54,951 | 22 | 109,902 |
Yes | output | 1 | 54,951 | 22 | 109,903 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integ... | instruction | 0 | 54,952 | 22 | 109,904 |
Yes | output | 1 | 54,952 | 22 | 109,905 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integ... | instruction | 0 | 54,953 | 22 | 109,906 |
No | output | 1 | 54,953 | 22 | 109,907 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integ... | instruction | 0 | 54,954 | 22 | 109,908 |
No | output | 1 | 54,954 | 22 | 109,909 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integ... | instruction | 0 | 54,955 | 22 | 109,910 |
No | output | 1 | 54,955 | 22 | 109,911 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Pasha loves to send strictly positive integers to his friends. Pasha cares about security, therefore when he wants to send an integer n, he encrypts it in the following way: he picks three integ... | instruction | 0 | 54,956 | 22 | 109,912 |
No | output | 1 | 54,956 | 22 | 109,913 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Jzzhu has picked n apples from his big apple tree. All the apples are numbered from 1 to n. Now he wants to sell them to an apple store.
Jzzhu will pack his apples into groups and then sell them. Each group must contain two apples, and the... | instruction | 0 | 55,161 | 22 | 110,322 |
Tags: constructive algorithms, number theory
Correct Solution:
```
import math,sys,bisect,heapq
from collections import defaultdict,Counter,deque
from itertools import groupby,accumulate
#sys.setrecursionlimit(200000000)
input = iter(sys.stdin.buffer.read().decode().splitlines()).__next__
ilele = lambda: map(int,input(... | output | 1 | 55,161 | 22 | 110,323 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Jzzhu has picked n apples from his big apple tree. All the apples are numbered from 1 to n. Now he wants to sell them to an apple store.
Jzzhu will pack his apples into groups and then sell them. Each group must contain two apples, and the... | instruction | 0 | 55,162 | 22 | 110,324 |
Tags: constructive algorithms, number theory
Correct Solution:
```
import math
apples=int(input())
if apples<=3:
print(0)
else:
halfpr=int(apples/2)
def primes(n):
primeslistsa=[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,
41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83,
... | output | 1 | 55,162 | 22 | 110,325 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Jzzhu has picked n apples from his big apple tree. All the apples are numbered from 1 to n. Now he wants to sell them to an apple store.
Jzzhu will pack his apples into groups and then sell them. Each group must contain two apples, and the... | instruction | 0 | 55,163 | 22 | 110,326 |
Tags: constructive algorithms, number theory
Correct Solution:
```
apples=int(input())
if apples<=3:
print(0)
else:
halfpr=int(apples/2)
def primes(n):
isPrime = [True for i in range(n + 1)]
isPrime[0] = isPrime[1] = False
idx = 2
while idx * idx <= n:
if... | output | 1 | 55,163 | 22 | 110,327 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Jzzhu has picked n apples from his big apple tree. All the apples are numbered from 1 to n. Now he wants to sell them to an apple store.
Jzzhu will pack his apples into groups and then sell th... | instruction | 0 | 55,164 | 22 | 110,328 |
No | output | 1 | 55,164 | 22 | 110,329 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive integers a1, a2, ..., an (not necessary distinct). Yo... | instruction | 0 | 55,254 | 22 | 110,508 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
def main():
n = int(input())
l = list(map(int, input().split()))
seive = [False, True] * max(l)
a = len(seive)
for i in range(3, int(a ** .5) + 1, 2):
if seive[i]:
for j in range(i * i, a, i):
... | output | 1 | 55,254 | 22 | 110,509 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive integers a1, a2, ..., an (not necessary distinct). Yo... | instruction | 0 | 55,255 | 22 | 110,510 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
def primes_upto(limit):
is_prime = [False] * 2 + [True] * (limit - 1) # remove odd numbers
for n in range(int(limit**0.5 + 1.5)): # stop at ``sqrt(limit)``
if is_prime[n]:
for i in range(n*n, limit+1, n):
... | output | 1 | 55,255 | 22 | 110,511 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive integers a1, a2, ..., an (not necessary distinct). Yo... | instruction | 0 | 55,256 | 22 | 110,512 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
def main():
input()
l0, l1, ones = [], [], 0
for a in map(int, input().split()):
if a == 1:
ones += 1
else:
(l1 if a & 1 else l0).append(a)
seive = [False, True] * (((max(l0) if l0 else 0) ... | output | 1 | 55,256 | 22 | 110,513 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive integers a1, a2, ..., an (not necessary distinct). Yo... | instruction | 0 | 55,257 | 22 | 110,514 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
def isPrime(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 ... | output | 1 | 55,257 | 22 | 110,515 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive integers a1, a2, ..., an (not necessary distinct). Yo... | instruction | 0 | 55,258 | 22 | 110,516 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
import sys
#import random
from bisect import bisect_right as rb
from collections import deque
#sys.setrecursionlimit(10**8)
from queue import PriorityQueue
from math import *
input_ = lambda: sys.stdin.readline().strip("\r\n")
ii = lambda : int(... | output | 1 | 55,258 | 22 | 110,517 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive integers a1, a2, ..., an (not necessary distinct). Yo... | instruction | 0 | 55,259 | 22 | 110,518 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
n = int(input())
L = list(map(int, input().split()))
P = [-1 for _ in range(2000001)]
def premier(n):
if P[n] >= 0:
return P[n]
for i in range(2,int(n**0.5)+1):
if n%i==0:
P[n] = False
return Fals... | output | 1 | 55,259 | 22 | 110,519 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive integers a1, a2, ..., an (not necessary distinct). Yo... | instruction | 0 | 55,260 | 22 | 110,520 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
import sys
def get_primes(n: int):
from itertools import chain
from array import array
primes = {2, 3}
is_prime = (array('b', (0, 0, 1, 1, 0, 1, 0)) +
array('b', (1, 0, 0, 0, 1, 0))*((n-1)//6))
for i in cha... | output | 1 | 55,260 | 22 | 110,521 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive integers a1, a2, ..., an (not necessary distinct). Yo... | instruction | 0 | 55,261 | 22 | 110,522 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
# ===============================================================================================
# importing some useful libraries.
from __future__ import division, print_function
from fractions import Fraction
import sys
import os
from io impo... | output | 1 | 55,261 | 22 | 110,523 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive intege... | instruction | 0 | 55,262 | 22 | 110,524 |
Yes | output | 1 | 55,262 | 22 | 110,525 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive intege... | instruction | 0 | 55,263 | 22 | 110,526 |
Yes | output | 1 | 55,263 | 22 | 110,527 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive intege... | instruction | 0 | 55,264 | 22 | 110,528 |
Yes | output | 1 | 55,264 | 22 | 110,529 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive intege... | instruction | 0 | 55,265 | 22 | 110,530 |
No | output | 1 | 55,265 | 22 | 110,531 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive intege... | instruction | 0 | 55,266 | 22 | 110,532 |
No | output | 1 | 55,266 | 22 | 110,533 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive intege... | instruction | 0 | 55,267 | 22 | 110,534 |
No | output | 1 | 55,267 | 22 | 110,535 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tuple of positive integers {x1, x2, ..., xk} is called simple if for all pairs of positive integers (i, j) (1 ≤ i < j ≤ k), xi + xj is a prime.
You are given an array a with n positive intege... | instruction | 0 | 55,268 | 22 | 110,536 |
No | output | 1 | 55,268 | 22 | 110,537 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has a string S of length N consisting of digits from `0` through `9`.
He loves the prime number P. He wants to know how many non-empty (contiguous) substrings of S - there are N \time... | instruction | 0 | 55,398 | 22 | 110,796 |
Yes | output | 1 | 55,398 | 22 | 110,797 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has a string S of length N consisting of digits from `0` through `9`.
He loves the prime number P. He wants to know how many non-empty (contiguous) substrings of S - there are N \time... | instruction | 0 | 55,404 | 22 | 110,808 |
No | output | 1 | 55,404 | 22 | 110,809 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya likes to solve equations. Today he wants to solve (x~div~k) ⋅ (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definition). In this equation, k and n are positive int... | instruction | 0 | 55,631 | 22 | 111,262 |
Tags: math
Correct Solution:
```
n, k = map(int, input().split())
a = []
for i in range(1, min(int(n ** 0.5) + 1, k)):
if n % i == 0:
a.append((i, n // i))
ans = int(1e10)
for i in range(len(a)):
if a[i][0] * k + a[i][1] < ans and a[i][1] < k:
ans = a[i][0] * k + a[i][1]
if a[i][1] * k + a[i... | output | 1 | 55,631 | 22 | 111,263 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya likes to solve equations. Today he wants to solve (x~div~k) ⋅ (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definition). In this equation, k and n are positive int... | instruction | 0 | 55,632 | 22 | 111,264 |
Tags: math
Correct Solution:
```
n,k = map(int,input().split())
mn = 10**9
for i in range(1,k):
if n % i == 0:
mn = min(mn, n//i*k + i)
print(mn)
``` | output | 1 | 55,632 | 22 | 111,265 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya likes to solve equations. Today he wants to solve (x~div~k) ⋅ (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definition). In this equation, k and n are positive int... | instruction | 0 | 55,633 | 22 | 111,266 |
Tags: math
Correct Solution:
```
import sys
import math
import itertools
import functools
import collections
import operator
import fileinput
import copy
ORDA = 97
def ii(): return int(input())
def mi(): return map(int, input().split())
def li(): return list(map(int, input().split()))
def lcm(a, b): return abs(a * b)... | output | 1 | 55,633 | 22 | 111,267 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya likes to solve equations. Today he wants to solve (x~div~k) ⋅ (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definition). In this equation, k and n are positive int... | instruction | 0 | 55,634 | 22 | 111,268 |
Tags: math
Correct Solution:
```
a,k=map(int,input().split())
l=[]
for i in range(1,round(a**0.5)+1):
if a%i==0:
if a//i<k:
#print([i,a//i])
l.append([i,a//i])
if i<k:
#print([a//i,i])
l.append([a//i,i])
#print()
b=[]
for i in l:
b.append(i[0]*... | output | 1 | 55,634 | 22 | 111,269 |
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