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.
Recently, the bear started studying data structures and faced the following problem.
You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterize... | instruction | 0 | 59,189 | 22 | 118,378 |
No | output | 1 | 59,189 | 22 | 118,379 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Recently, the bear started studying data structures and faced the following problem.
You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterize... | instruction | 0 | 59,190 | 22 | 118,380 |
No | output | 1 | 59,190 | 22 | 118,381 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Recently, the bear started studying data structures and faced the following problem.
You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterize... | instruction | 0 | 59,191 | 22 | 118,382 |
No | output | 1 | 59,191 | 22 | 118,383 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Recently, the bear started studying data structures and faced the following problem.
You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterize... | instruction | 0 | 59,192 | 22 | 118,384 |
No | output | 1 | 59,192 | 22 | 118,385 |
Provide a correct Python 3 solution for this coding contest problem.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Di... | instruction | 0 | 59,627 | 22 | 119,254 |
"Correct Solution:
```
import math
def prime(x):
for i in range(2,int(math.sqrt(x))+1):
if x%i == 0:
return 0
return 1
while True:
a, d, n = map(int, input().split())
if a==0 and d==0 and n==0:
break
def A(m):
return a + (m-1)*d
Plis... | output | 1 | 59,627 | 22 | 119,255 |
Provide a correct Python 3 solution for this coding contest problem.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Di... | instruction | 0 | 59,628 | 22 | 119,256 |
"Correct Solution:
```
def sosu(n):
s = [1] * (n+1)
s[0] = s[1] = 0
end = int(n ** 0.5) + 1
for i in range(2,end+1):
if s[i] == 0:continue
j = i+i
while j <= n:
s[j] = 0
j += i
return s
S = sosu(1000000)
while 1:
a, d, n = list(map(int,inpu... | output | 1 | 59,628 | 22 | 119,257 |
Provide a correct Python 3 solution for this coding contest problem.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Di... | instruction | 0 | 59,629 | 22 | 119,258 |
"Correct Solution:
```
import math
def main():
while True:
a, d, n = map(int, input().split())
if a == 0: break
print(showprime(a, d, n))
return
def showprime(a, d, n):
i = 0
while True:
i += isprime(a)
if i == n: return a
a += d
def isprime(num):
... | output | 1 | 59,629 | 22 | 119,259 |
Provide a correct Python 3 solution for this coding contest problem.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Di... | instruction | 0 | 59,630 | 22 | 119,260 |
"Correct Solution:
```
import math
while 1:
a,d,n = list(map(int,input().split()))
if n ==0: break
count =0
i =0
while 1:
a_i = a + i*d
flag =1
for j in range(2,int(math.sqrt(a_i)) +1):
if a_i % j==0:
flag =0
break
if... | output | 1 | 59,630 | 22 | 119,261 |
Provide a correct Python 3 solution for this coding contest problem.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Di... | instruction | 0 | 59,631 | 22 | 119,262 |
"Correct Solution:
```
def prime(n):
if n < 2:
return False
if n == 2:
return True
if not n % 2:
return False
for i in range(3, int(n ** 0.5) + 1,2):
if n % i == 0:
return False
return True
def main(a, d, n):
i = 0
a -= d
while i < n:
a... | output | 1 | 59,631 | 22 | 119,263 |
Provide a correct Python 3 solution for this coding contest problem.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Di... | instruction | 0 | 59,632 | 22 | 119,264 |
"Correct Solution:
```
while 1:
a,d,n=map(int,input().split())
if a==d==n==0:break
count=0
while 1:
if a in [2,3,5,7]:count+=1
elif a%2==0 or a<11:pass
else:
for i in range(3,int(a**0.5)+1,2):
if a%i==0:break
else:count+=1
if count=... | output | 1 | 59,632 | 22 | 119,265 |
Provide a correct Python 3 solution for this coding contest problem.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Di... | instruction | 0 | 59,633 | 22 | 119,266 |
"Correct Solution:
```
def prime_list(n):
p = [True for i in range(n)]
p[0] = False
p[1] = False
for j in range(4, n, 2):
p[j] = False
i = 3
while i*i < n:
if p[i]:
for j in range(2*i, n, i):
p[j] = False
i += 2
p_list = [2*i+1 for i in... | output | 1 | 59,633 | 22 | 119,267 |
Provide a correct Python 3 solution for this coding contest problem.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Di... | instruction | 0 | 59,634 | 22 | 119,268 |
"Correct Solution:
```
sosu = []
for i in range(2, 1001):
f = True
for s in sosu:
if i % s == 0:
f = False
if f:
sosu.append(i)
ss = set(sosu)
while True:
a, d, n = map(int, input().split())
if a == 0 and d == 0 and n == 0:
break
if a == 1:
a += d
while True:
if a in ss:
n -= 1
elif all(not ... | output | 1 | 59,634 | 22 | 119,269 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains... | instruction | 0 | 59,635 | 22 | 119,270 |
Yes | output | 1 | 59,635 | 22 | 119,271 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains... | instruction | 0 | 59,636 | 22 | 119,272 |
Yes | output | 1 | 59,636 | 22 | 119,273 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains... | instruction | 0 | 59,637 | 22 | 119,274 |
Yes | output | 1 | 59,637 | 22 | 119,275 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains... | instruction | 0 | 59,638 | 22 | 119,276 |
Yes | output | 1 | 59,638 | 22 | 119,277 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains... | instruction | 0 | 59,639 | 22 | 119,278 |
No | output | 1 | 59,639 | 22 | 119,279 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains... | instruction | 0 | 59,640 | 22 | 119,280 |
No | output | 1 | 59,640 | 22 | 119,281 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Good evening, contestants.
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains... | instruction | 0 | 59,641 | 22 | 119,282 |
No | output | 1 | 59,641 | 22 | 119,283 |
Provide a correct Python 3 solution for this coding contest problem.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutive integers.
The second and third lines output 3, as a di... | instruction | 0 | 59,642 | 22 | 119,284 |
"Correct Solution:
```
# Edit: 2014/10/13
# Lang: Python3
# Time: 00.xxs
# File: pc1503.py
from functools import reduce
if __name__ == "__main__":
n = int(input()) # 1<=n<=1,500
#n1500 = reduce(lambda x,y: x*y, range(2,1501))+2
n1500 = 481199779677977486016699009358137978183480804067261380813085594116305... | output | 1 | 59,642 | 22 | 119,285 |
Provide a correct Python 3 solution for this coding contest problem.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutive integers.
The second and third lines output 3, as a di... | instruction | 0 | 59,643 | 22 | 119,286 |
"Correct Solution:
```
# AOJ 1503: Numbers
# Python3 2018.7.13 bal4u
import sys
n = int(input())
if n == 1: print(4, 2, sep='\n'); sys.exit(0)
ans = 1
for i in range(2, n+2): ans *= i
print(ans+2)
for i in range(2, n+2): print(i)
``` | output | 1 | 59,643 | 22 | 119,287 |
Provide a correct Python 3 solution for this coding contest problem.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutive integers.
The second and third lines output 3, as a di... | instruction | 0 | 59,644 | 22 | 119,288 |
"Correct Solution:
```
def main():
num = 2
i = 3
for _ in range(1500//2):
num *= i
i += 2
n = int(input())
print(num+2)
for i in range(n):
a = i+2
if i%2 == 0:
a = 2
print(a)
if __name__ == '__main__':
main()
``` | output | 1 | 59,644 | 22 | 119,289 |
Provide a correct Python 3 solution for this coding contest problem.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutive integers.
The second and third lines output 3, as a di... | instruction | 0 | 59,645 | 22 | 119,290 |
"Correct Solution:
```
n=int(input())
if n==1:
print(4)
print(2)
elif n==2:
print(14)
print(2)
print(3)
else:
ans=1
for i in range(2,2+n):
ans*=i
print(ans-n-1)
for i in range(n+1,1,-1):
print(i)
``` | output | 1 | 59,645 | 22 | 119,291 |
Provide a correct Python 3 solution for this coding contest problem.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutive integers.
The second and third lines output 3, as a di... | instruction | 0 | 59,646 | 22 | 119,292 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
import sys
import os
import math
n = int(input())
if n == 1:
# 4
print(4)
print(2)
elif n == 2:
# 8, 9
print(8)
print(4)
print(3)
else:
a = 1
for i in range(1, n + 2):
a *= i
print(a - n - 1)
for i in range(n + 1, 1, -... | output | 1 | 59,646 | 22 | 119,293 |
Provide a correct Python 3 solution for this coding contest problem.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutive integers.
The second and third lines output 3, as a di... | instruction | 0 | 59,647 | 22 | 119,294 |
"Correct Solution:
```
import math
n=int(input())
print(math.factorial(n+1)+2)
for i in range(2,n+2):
print(i)
``` | output | 1 | 59,647 | 22 | 119,295 |
Provide a correct Python 3 solution for this coding contest problem.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutive integers.
The second and third lines output 3, as a di... | instruction | 0 | 59,648 | 22 | 119,296 |
"Correct Solution:
```
import sys
sys.setrecursionlimit(1000000)
memo = {0:1}
def fact(num):
if num in memo:return memo[num]
memo[num] = num * fact(num - 1)
return memo[num]
n = int(input())
print(fact(n + 1) + 2)
for i in range(n):
print(i + 2)
``` | output | 1 | 59,648 | 22 | 119,297 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutiv... | instruction | 0 | 59,649 | 22 | 119,298 |
No | output | 1 | 59,649 | 22 | 119,299 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutiv... | instruction | 0 | 59,650 | 22 | 119,300 |
No | output | 1 | 59,650 | 22 | 119,301 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutiv... | instruction | 0 | 59,651 | 22 | 119,302 |
No | output | 1 | 59,651 | 22 | 119,303 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given n, find n consecutive positive integers. However, all numbers must have divisors other than 1 and the number itself.
Hint
In Sample Output 2, 8, 9 and 10 are selected as three consecutiv... | instruction | 0 | 59,652 | 22 | 119,304 |
No | output | 1 | 59,652 | 22 | 119,305 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize. We want you to factorise a 1024-bit number.
... | instruction | 0 | 59,737 | 22 | 119,474 |
Tags: interactive, math, number theory
Correct Solution:
```
import random
def isPrime(n):
if n!=int(n):
return False
n=int(n)
if n==0 or n==1 or n==4 or n==6 or n==8 or n==9:
return False
if n==2 or n==3 or n==5 or n==7:
return True
s = 0
d = n-1
while d%2==0:
... | output | 1 | 59,737 | 22 | 119,475 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize. We want you to factorise a 1024-bit number.
... | instruction | 0 | 59,738 | 22 | 119,476 |
Tags: interactive, math, number theory
Correct Solution:
```
import math
from random import randint
from sys import stdout
def gcd(a, b):
if b == 0:
return a
if a == 0:
return b
if not a & 1 and not b & 1:
return gcd(a >> 1, b >> 1) << 1
if a & 1 and not b & 1:
return g... | output | 1 | 59,738 | 22 | 119,477 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize. We want you to factorise a 1024-bit number.
... | instruction | 0 | 59,739 | 22 | 119,478 |
Tags: interactive, math, number theory
Correct Solution:
```
import random
def isPrime(n):
"""
Miller-Rabin primality test.
A return value of False means n is certainly not prime. A return value of
True means n is very likely a prime.
"""
if n!=int(n):
return False
n=int(n)
#Mi... | output | 1 | 59,739 | 22 | 119,479 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize. We want you to factorise a 1024-bit number.
... | instruction | 0 | 59,740 | 22 | 119,480 |
Tags: interactive, math, number theory
Correct Solution:
```
import random
from sys import stdout
# https://rosettacode.org/wiki/Miller%E2%80%93Rabin_primality_test#Python
def is_Prime(n):
"""
Miller-Rabin primality test.
A return value of False means n is certainly not prime. A return value of
True... | output | 1 | 59,740 | 22 | 119,481 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize. We want you to factorise a 1024-bit number.
... | instruction | 0 | 59,741 | 22 | 119,482 |
Tags: interactive, math, number theory
Correct Solution:
```
import random
def isPrime(n):
if n!=int(n):
return False
n=int(n)
if n==0 or n==1 or n==4 or n==6 or n==8 or n==9:
return False
if n==2 or n==3 or n==5 or n==7:
return True
s = 0
d = n-1
while d%2... | output | 1 | 59,741 | 22 | 119,483 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize. We want you to factorise a 1024-bit number.
... | instruction | 0 | 59,742 | 22 | 119,484 |
Tags: interactive, math, number theory
Correct Solution:
```
import sys
import random
def gcd(x, y):
return x if y == 0 else gcd(y, x % y)
def isPrime(n):
"""
Miller-Rabin primality test.
A return value of False means n is certainly not prime. A return value of
True means n is very likely a prime... | output | 1 | 59,742 | 22 | 119,485 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize. We want you to factorise a 1024-bit number.
... | instruction | 0 | 59,743 | 22 | 119,486 |
Tags: interactive, math, number theory
Correct Solution:
```
from random import *
from math import gcd
from sys import stdout
def miller_rabin(n):
if n % 4 != 3:
return False
d = n - 1
s = 0
while d % 2 == 0:
d >>= 1
s += 1
for repeat in range(54):
a = 0
whil... | output | 1 | 59,743 | 22 | 119,487 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize... | instruction | 0 | 59,744 | 22 | 119,488 |
No | output | 1 | 59,744 | 22 | 119,489 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize... | instruction | 0 | 59,745 | 22 | 119,490 |
No | output | 1 | 59,745 | 22 | 119,491 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize... | instruction | 0 | 59,746 | 22 | 119,492 |
No | output | 1 | 59,746 | 22 | 119,493 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Integer factorisation is hard. The RSA Factoring Challenge offered $100 000 for factoring RSA-1024, a 1024-bit long product of two prime numbers. To this date, nobody was able to claim the prize... | instruction | 0 | 59,747 | 22 | 119,494 |
No | output | 1 | 59,747 | 22 | 119,495 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer x represented as a product of n its prime divisors p_1 ⋅ p_2, ⋅ … ⋅ p_n. Let S be the set of all positive integer divisors of x (including 1 and x itself).
We call a se... | instruction | 0 | 59,814 | 22 | 119,628 |
No | output | 1 | 59,814 | 22 | 119,629 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer x represented as a product of n its prime divisors p_1 ⋅ p_2, ⋅ … ⋅ p_n. Let S be the set of all positive integer divisors of x (including 1 and x itself).
We call a se... | instruction | 0 | 59,815 | 22 | 119,630 |
No | output | 1 | 59,815 | 22 | 119,631 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer x represented as a product of n its prime divisors p_1 ⋅ p_2, ⋅ … ⋅ p_n. Let S be the set of all positive integer divisors of x (including 1 and x itself).
We call a se... | instruction | 0 | 59,816 | 22 | 119,632 |
No | output | 1 | 59,816 | 22 | 119,633 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer x represented as a product of n its prime divisors p_1 ⋅ p_2, ⋅ … ⋅ p_n. Let S be the set of all positive integer divisors of x (including 1 and x itself).
We call a se... | instruction | 0 | 59,817 | 22 | 119,634 |
No | output | 1 | 59,817 | 22 | 119,635 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Dima got into number sequences. Now he's got sequence a1, a2, ..., an, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence:
* f(0) = 0;
* f(2·x) = f(x);
* f(2·x +... | instruction | 0 | 60,062 | 22 | 120,124 |
Tags: implementation, math
Correct Solution:
```
from sys import stdin,stdout
from bisect import bisect_right as br
from bisect import bisect_left as bl
from bisect import insort_left as il
from math import gcd
def cho(n):
return n*(n-1)//2
def val(n):
ans=0
while n:
if n&1:
ans+=1
... | output | 1 | 60,062 | 22 | 120,125 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want all presented numbers to be distinct, that also ... | instruction | 0 | 60,151 | 22 | 120,302 |
Tags: binary search, math
Correct Solution:
```
a,b,x,y=map(int,input().split())
l,r=a+b,(a+b)*5
while l<r:
v = (l+r)//2
if v-v//x >= a and v-v//y >= b and v-v//(x*y) >= a+b:
r = v
else:
l = v+1
print(r)
# Made By Mostafa_Khaled
``` | output | 1 | 60,151 | 22 | 120,303 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want all presented numbers to be distinct, that also ... | instruction | 0 | 60,152 | 22 | 120,304 |
Tags: binary search, math
Correct Solution:
```
n0, n1, x, y = map(int, input().split())
def f(m, n, x, y):
return max(0, n - (m // y - m // (x * y)))
lo = -1
hi = x * y * (n0 + n1)
while lo + 1 < hi:
mid = lo + (hi - lo) // 2
if f(mid, n0, x, y) + f(mid, n1, y, x) <= mid - mid // x - mid // y + mid // (x... | output | 1 | 60,152 | 22 | 120,305 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want all presented numbers to be distinct, that also ... | instruction | 0 | 60,153 | 22 | 120,306 |
Tags: binary search, math
Correct Solution:
```
import math
u, v, x, y = map(int, input().split())
z = x * y // math.gcd(x, y)
def check(ans):
inter = ans - ans // x - ans // y + ans // z
fx = ans // y - ans // z
fy = ans // x - ans // z
if fx + inter < u:
return False
if fy + inter < v:
... | output | 1 | 60,153 | 22 | 120,307 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want all presented numbers to be distinct, that also ... | instruction | 0 | 60,154 | 22 | 120,308 |
Tags: binary search, math
Correct Solution:
```
c1, c2, x, y = map(int, input().split())
l, r = 0, 1 << 179
while r - l > 1:
m = (l + r) >> 1
if (m - m // x >= c1) and (m - m // y - max(0, c1 - m // y + m // x // y) >= c2):
r = m
else:
l = m
print(r)
``` | output | 1 | 60,154 | 22 | 120,309 |
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