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.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible by p, but xp - 1 - 1 is.
Unfortunately, comp... | instruction | 0 | 40,730 | 22 | 81,460 |
Tags: implementation, math, number theory
Correct Solution:
```
from math import gcd
p=int(input())-1
cnt=0
for i in range(1,p):
if gcd(i,p)==1: cnt+=1
print(cnt if p!=1 else 1)
``` | output | 1 | 40,730 | 22 | 81,461 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible by p, but xp - 1 - 1 is.
Unfortunately, comp... | instruction | 0 | 40,731 | 22 | 81,462 |
Tags: implementation, math, number theory
Correct Solution:
```
import sys
import math
import itertools
import functools
import collections
import operator
import fileinput
import copy
ORDA = 97 # a
def ii(): return int(input())
def mi(): return map(int, input().split())
def li(): return [int(i) for i in input().spl... | output | 1 | 40,731 | 22 | 81,463 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible... | instruction | 0 | 40,732 | 22 | 81,464 |
Yes | output | 1 | 40,732 | 22 | 81,465 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible... | instruction | 0 | 40,733 | 22 | 81,466 |
Yes | output | 1 | 40,733 | 22 | 81,467 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible... | instruction | 0 | 40,734 | 22 | 81,468 |
Yes | output | 1 | 40,734 | 22 | 81,469 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible... | instruction | 0 | 40,735 | 22 | 81,470 |
Yes | output | 1 | 40,735 | 22 | 81,471 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible... | instruction | 0 | 40,736 | 22 | 81,472 |
No | output | 1 | 40,736 | 22 | 81,473 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible... | instruction | 0 | 40,737 | 22 | 81,474 |
No | output | 1 | 40,737 | 22 | 81,475 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible... | instruction | 0 | 40,738 | 22 | 81,476 |
No | output | 1 | 40,738 | 22 | 81,477 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The cows have just learned what a primitive root is! Given a prime p, a primitive root <image> is an integer x (1 ≤ x < p) such that none of integers x - 1, x2 - 1, ..., xp - 2 - 1 are divisible... | instruction | 0 | 40,739 | 22 | 81,478 |
No | output | 1 | 40,739 | 22 | 81,479 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?
Input
The first line of the input contains two integers s and x (2 ≤ s ≤ 1012, 0 ≤ x ≤ 1012), the sum and... | instruction | 0 | 40,820 | 22 | 81,640 |
Tags: dp, math
Correct Solution:
```
s, x = map(int, input().split())
a, b = 1, 0
for i in range(50):
c, d = s & (1 << i), x & (1 << i)
# print(i, a, b, c, d)
if c == d:
if c:
a, b = 2 * a, 0
else:
a, b = a, a
else:
if c:
a, b = b, b
el... | output | 1 | 40,820 | 22 | 81,641 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?
Input
The first line of the input contains two integers s and x (2 ≤ s ≤ 1012, 0 ≤ x ≤ 1012), the sum and... | instruction | 0 | 40,821 | 22 | 81,642 |
Tags: dp, math
Correct Solution:
```
def solve(s, x):
d = (s - x)
if x << 1 & d or d%2 or d<0: return 0
return 2 ** (bin(x).count('1')) - (0 if d else 2)
s, x = [int(x) for x in input().split()]
print(solve(s, x))
``` | output | 1 | 40,821 | 22 | 81,643 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?
Input
The first line of the input contains two integers s and x (2 ≤ s ≤ 1012, 0 ≤ x ≤ 1012), the sum and... | instruction | 0 | 40,822 | 22 | 81,644 |
Tags: dp, math
Correct Solution:
```
s, x = map(int, input().split())
print(0 if s < x or (s - x) & (2 * x + 1) else 2 ** bin(x).count('1') - 2 * (s == x))
``` | output | 1 | 40,822 | 22 | 81,645 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?
Input
The first line of the input contains two integers s and x (2 ≤ s ≤ 1012, 0 ≤ x ≤ 1012), the sum and... | instruction | 0 | 40,823 | 22 | 81,646 |
Tags: dp, math
Correct Solution:
```
s, x = map(int, input().split())
rem = int(s == x) * 2
p, t, cur = [], 0, 1
for i in range(64):
if x % 2:
t += 1
s -= cur
else:
p.append(cur * 2)
cur *= 2
x //= 2
for i in p[::-1]:
if s >= i: s -= i
ans = 0 if s else 2 ** t - rem
print(ans... | output | 1 | 40,823 | 22 | 81,647 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?
Input
The first line of the input contains two integers s and x (2 ≤ s ≤ 1012, 0 ≤ x ≤ 1012), the sum and... | instruction | 0 | 40,824 | 22 | 81,648 |
Tags: dp, math
Correct Solution:
```
a, b = [int(x) for x in input().split()]
c = (a-b) / 2
if c < 0 or not c.is_integer() or int(c) & b:
print(0)
exit(0)
t = 0
while b:
t += b & 1
b >>= 1
t = 1 << t
if c == 0:
t -= 2
print(t)
``` | output | 1 | 40,824 | 22 | 81,649 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?
Input
The first line of the input contains two integers s and x (2 ≤ s ≤ 1012, 0 ≤ x ≤ 1012), the sum and... | instruction | 0 | 40,825 | 22 | 81,650 |
Tags: dp, math
Correct Solution:
```
a, b = [int(x) for x in input().split()]
c = (a-b) / 2
if not c.is_integer() or int(c) & b:
print(0)
exit(0)
t = 0
while b: # for each x_i, y_i in binary only 0, 1 or 1, 0 valid if b_i == 1
t += b & 1
b >>= 1
t = 1 << t
if c == 0: # for x = 0, y = a or swapped
... | output | 1 | 40,825 | 22 | 81,651 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?
Input
The first line of the input contains two integers s and x (2 ≤ s ≤ 1012, 0 ≤ x ≤ 1012), the sum and... | instruction | 0 | 40,826 | 22 | 81,652 |
Tags: dp, math
Correct Solution:
```
s,x=map(int,input().split())
f=0
if s==x:
f=-2
aa=s-x
if aa%2==1 or aa<0:
print(0)
else:
a=aa//2
#print(a,s)
out=1
for i in range(64):
xx=x%2
aa=a%2
if xx==1:
out*=2
if aa==1:
out=0
x//=2... | output | 1 | 40,826 | 22 | 81,653 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?
Input
The first line of the input contains two integers s and x (2 ≤ s ≤ 1012, 0 ≤ x ≤ 1012), the sum and... | instruction | 0 | 40,827 | 22 | 81,654 |
Tags: dp, math
Correct Solution:
```
import io
import sys
import time
import random
#~ start = time.clock()
#~ test = '''3 3''' # 2 solutions, (1,2) and (2,1)
#~ test = '''9 5''' # 4 solutions
#~ test = '''5 2''' # 0 solutions
#~ test = '''6 0''' # 1 solution
#~ sys.stdin = io.StringIO(test)
s,x = list(map(int, input(... | output | 1 | 40,827 | 22 | 81,655 |
Provide tags and a correct Python 2 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 | 40,942 | 22 | 81,884 |
Tags: math, number theory
Correct Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
raw_input = stdin.readline
pr = stdout.write
def in_arr():
return map(int,raw_input().split())
def pr_num(n):
stdout.write(str(n)+'\n')
... | output | 1 | 40,942 | 22 | 81,885 |
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 | 40,943 | 22 | 81,886 |
Tags: math, number theory
Correct Solution:
```
import sys
MOD = 10**9 + 9
def inv(x):
return pow(x, MOD-2, MOD)
def alternateSum(n,a,b,k,s):
res = 0
q = (pow(b, k, MOD) * inv(pow(a, k, MOD))) % MOD
max_pow = pow(a, n, MOD)
c = b * inv(a) % MOD
for i in range(k):
if s[i] == '+':
... | output | 1 | 40,943 | 22 | 81,887 |
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 | 40,944 | 22 | 81,888 |
Tags: math, number theory
Correct Solution:
```
MOD = 1000000009
def Pow(base, n):
res = 1
while n:
if n&1:
res = (res*base)%MOD
base = (base*base)%MOD
n >>= 1
return res
n, a, b, k = map(int, input().split())
ans = 0
num = (n+1)//k
_a = Pow(a, MOD-2)
q = Pow(b, k)*Pow(... | output | 1 | 40,944 | 22 | 81,889 |
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 | 40,945 | 22 | 81,890 |
Tags: math, number theory
Correct Solution:
```
import functools
import queue
def readTuple():
return input().split()
def readInts():
return tuple(map(int, readTuple()))
def egcd(aa, bb):
lastremainder, remainder = abs(aa), abs(bb)
x, lastx, y, lasty = 0, 1, 1, 0
while remainder:
lastremai... | output | 1 | 40,945 | 22 | 81,891 |
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 | 40,946 | 22 | 81,892 |
Tags: math, number theory
Correct Solution:
```
import sys
try:
fin = open('in')
except:
fin = sys.stdin
input = fin.readline
mod=10**9+9
def f(x,y):
ans=1
while y:
if y&1:ans=ans*x%mod
x=x*x%mod
y>>=1
return ans
n,a,b,k=map(int,input().split())
s=[1 if c=='+' else -1 for c in input()]
#period k-1
pr=sum(s[... | output | 1 | 40,946 | 22 | 81,893 |
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 | 40,947 | 22 | 81,894 |
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 | 40,947 | 22 | 81,895 |
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 | 40,948 | 22 | 81,896 |
Tags: math, number theory
Correct Solution:
```
MOD = 10**9+9;
n,a,b,k = map(int,input().split())
s = input();
def pow(a,n,m=MOD):
ret = 1;
a %= MOD;
while n:
if n&1:
ret = ret*a%m;
a = a*a%m;
n >>= 1;
return ret;
#def inv(a,p=MOD):
# return pow(a,p-2,p);
def inv... | output | 1 | 40,948 | 22 | 81,897 |
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 | 40,949 | 22 | 81,898 |
Tags: math, number theory
Correct Solution:
```
n , a , b , k = map(int,input().split())
s = str(input())
MOD = 10**9 + 9
def fun(a , b , i):
return (pow(a , n - i , MOD) * pow(b , i , MOD)) % MOD
def div(x , y):
#calculate x // y mod p
return (x * pow(y , MOD - 2 , MOD)) % MOD
r = pow(div(b , a) , k , M... | output | 1 | 40,949 | 22 | 81,899 |
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 | 40,950 | 22 | 81,900 |
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 | 40,950 | 22 | 81,901 |
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 | 40,951 | 22 | 81,902 |
Yes | output | 1 | 40,951 | 22 | 81,903 |
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 | 40,952 | 22 | 81,904 |
Yes | output | 1 | 40,952 | 22 | 81,905 |
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 | 40,953 | 22 | 81,906 |
Yes | output | 1 | 40,953 | 22 | 81,907 |
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 | 40,954 | 22 | 81,908 |
Yes | output | 1 | 40,954 | 22 | 81,909 |
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 | 40,955 | 22 | 81,910 |
No | output | 1 | 40,955 | 22 | 81,911 |
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 | 40,956 | 22 | 81,912 |
No | output | 1 | 40,956 | 22 | 81,913 |
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 | 40,957 | 22 | 81,914 |
No | output | 1 | 40,957 | 22 | 81,915 |
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 | 40,958 | 22 | 81,916 |
No | output | 1 | 40,958 | 22 | 81,917 |
Provide a correct Python 3 solution for this coding contest problem.
For a positive integer n, let us define f(n) as the number of digits in base 10.
You are given an integer S. Count the number of the pairs of positive integers (l, r) (l \leq r) such that f(l) + f(l + 1) + ... + f(r) = S, and find the count modulo 1... | instruction | 0 | 41,064 | 22 | 82,128 |
"Correct Solution:
```
#!/usr/bin/env python3
import math
import random
class Prime:
seed_primes = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]
def is_prime(self, n):
is_prime_common = self.is_prime_common(n)
if is_prime_common is not None:
... | output | 1 | 41,064 | 22 | 82,129 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a positive integer n, let us define f(n) as the number of digits in base 10.
You are given an integer S. Count the number of the pairs of positive integers (l, r) (l \leq r) such that f(l) ... | instruction | 0 | 41,068 | 22 | 82,136 |
No | output | 1 | 41,068 | 22 | 82,137 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integ... | instruction | 0 | 41,333 | 22 | 82,666 |
Tags: math, number theory
Correct Solution:
```
x, n= map(int, input().split())
prifa=[]
tag=1
while x>2 and tag:
tag=0
i=2
while i*i<= x:
if x%i==0:
tag=1
while x%i==0:
x//=i
prifa.append(i)
i+=1
if tag:
break;
if x>1:
... | output | 1 | 41,333 | 22 | 82,667 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integ... | instruction | 0 | 41,334 | 22 | 82,668 |
Tags: math, number theory
Correct Solution:
```
"""
Satwik_Tiwari ;) .
25th AUGUST , 2020 - TUESDAY
"""
#===============================================================================================
#importing some useful libraries.
from __future__ import division, print_function
from fractions import Frac... | output | 1 | 41,334 | 22 | 82,669 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integ... | instruction | 0 | 41,335 | 22 | 82,670 |
Tags: math, number theory
Correct Solution:
```
x, n = map(int, input().split())
m = 10**9 + 7
s = []
for i in range(2, int(x ** .5) + 1):
if x % i == 0:
s.append(i)
while not x % i:
x //= i
if x > 1:
s.append(x)
ans = 1
for i in s:
a = n
res = 0
while (a):
a //= ... | output | 1 | 41,335 | 22 | 82,671 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integ... | instruction | 0 | 41,336 | 22 | 82,672 |
Tags: math, number theory
Correct Solution:
```
x,n = map(int,input().split())
prime_factors = []
for i in range(2, int(x ** 0.5) + 1):
if x % i == 0:
prime_factors.append(i)
while x % i == 0:
x = x // i
if x > 1:
prime_factors.append(x)
ans = 1
mod = int(1e9) + 7
# print(mod)... | output | 1 | 41,336 | 22 | 82,673 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integ... | instruction | 0 | 41,337 | 22 | 82,674 |
Tags: math, number theory
Correct Solution:
```
x, n = [int(i) for i in input().split()]
mod = 1000000007
primes = [] # seznam prafaktorjev
cnt = 2
while cnt * cnt <= x:
if x % cnt == 0:
primes.append(cnt)
while x % cnt == 0:
x = x // cnt
cnt = cnt + 1
if x > 1:
primes.append(x)... | output | 1 | 41,337 | 22 | 82,675 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integ... | instruction | 0 | 41,338 | 22 | 82,676 |
Tags: math, number theory
Correct Solution:
```
x,n=map(int,input().split())
ans=1
pp=10**9+7
prime=[]
ss=set()
for i in range(2,int(x**0.5)+1):
if x%i==0:
ss.add(i)
ss.add(x//i)
for d in ss:
i=2
t=True
while t and i<int(d**0.5)+1:
if d%i==0:
t=False
i+=1
if t:
prime.append(d)
if not prime:prime.appe... | output | 1 | 41,338 | 22 | 82,677 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integ... | instruction | 0 | 41,339 | 22 | 82,678 |
Tags: math, number theory
Correct Solution:
```
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Sun Sep 29 20:05:37 2019
@author: kushagra
"""
import math
p = []
MOD = 1000000007
def gen(n):
if n%2 ==0:
p.append(2)
while n%2==0:
n=n//2
for i in range (3,int(math.sqrt(n))+1... | output | 1 | 41,339 | 22 | 82,679 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integ... | instruction | 0 | 41,340 | 22 | 82,680 |
Tags: math, number theory
Correct Solution:
```
from math import sqrt
def primes(n):
L = []
if not (n & 1):
n >>= 1
while not (n & 1):
n >>= 1
L.append(2)
for i in range(3, int(sqrt(n)) + 1, 2):
if n % i == 0:
L.append(i)
n //= i
... | output | 1 | 41,340 | 22 | 82,681 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the m... | instruction | 0 | 41,341 | 22 | 82,682 |
Yes | output | 1 | 41,341 | 22 | 82,683 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the m... | instruction | 0 | 41,342 | 22 | 82,684 |
Yes | output | 1 | 41,342 | 22 | 82,685 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the m... | instruction | 0 | 41,343 | 22 | 82,686 |
Yes | output | 1 | 41,343 | 22 | 82,687 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the m... | instruction | 0 | 41,344 | 22 | 82,688 |
Yes | output | 1 | 41,344 | 22 | 82,689 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the m... | instruction | 0 | 41,345 | 22 | 82,690 |
No | output | 1 | 41,345 | 22 | 82,691 |
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