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.
You are given n integers a_1, a_2, ..., a_n.
For each a_i find its two divisors d_1 > 1 and d_2 > 1 such that \gcd(d_1 + d_2, a_i) = 1 (where \gcd(a, b) is the greatest common divisor of a and ... | instruction | 0 | 103,859 | 22 | 207,718 |
Yes | output | 1 | 103,859 | 22 | 207,719 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n integers a_1, a_2, ..., a_n.
For each a_i find its two divisors d_1 > 1 and d_2 > 1 such that \gcd(d_1 + d_2, a_i) = 1 (where \gcd(a, b) is the greatest common divisor of a and ... | instruction | 0 | 103,860 | 22 | 207,720 |
Yes | output | 1 | 103,860 | 22 | 207,721 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n integers a_1, a_2, ..., a_n.
For each a_i find its two divisors d_1 > 1 and d_2 > 1 such that \gcd(d_1 + d_2, a_i) = 1 (where \gcd(a, b) is the greatest common divisor of a and ... | instruction | 0 | 103,861 | 22 | 207,722 |
No | output | 1 | 103,861 | 22 | 207,723 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n integers a_1, a_2, ..., a_n.
For each a_i find its two divisors d_1 > 1 and d_2 > 1 such that \gcd(d_1 + d_2, a_i) = 1 (where \gcd(a, b) is the greatest common divisor of a and ... | instruction | 0 | 103,862 | 22 | 207,724 |
No | output | 1 | 103,862 | 22 | 207,725 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n integers a_1, a_2, ..., a_n.
For each a_i find its two divisors d_1 > 1 and d_2 > 1 such that \gcd(d_1 + d_2, a_i) = 1 (where \gcd(a, b) is the greatest common divisor of a and ... | instruction | 0 | 103,863 | 22 | 207,726 |
No | output | 1 | 103,863 | 22 | 207,727 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n integers a_1, a_2, ..., a_n.
For each a_i find its two divisors d_1 > 1 and d_2 > 1 such that \gcd(d_1 + d_2, a_i) = 1 (where \gcd(a, b) is the greatest common divisor of a and ... | instruction | 0 | 103,864 | 22 | 207,728 |
No | output | 1 | 103,864 | 22 | 207,729 |
Provide tags and a correct Python 3 solution for this coding contest problem.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads (MoO) class, Kevin was confronted with a weird... | instruction | 0 | 104,057 | 22 | 208,114 |
Tags: combinatorics, dfs and similar, dsu, math, number theory
Correct Solution:
```
import sys
# sys.stdin = open('data/D.in', 'r')
T = 1
M = 1000000007
def process():
P, K = list(map(int, input().split()))
k = [K * x % P for x in range(P)]
# print(k)
# f(0) = k[f(0)]
# f(1) = k[f(4)]
# f(2) ... | output | 1 | 104,057 | 22 | 208,115 |
Provide tags and a correct Python 3 solution for this coding contest problem.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads (MoO) class, Kevin was confronted with a weird... | instruction | 0 | 104,058 | 22 | 208,116 |
Tags: combinatorics, dfs and similar, dsu, math, number theory
Correct Solution:
```
__author__ = 'MoonBall'
import sys
# sys.stdin = open('data/D.in', 'r')
T = 1
M = 1000000007
def process():
P, K = list(map(int, input().split()))
k = [K * x % P for x in range(P)]
# print(k)
# f(0) = k[f(0)]
# f... | output | 1 | 104,058 | 22 | 208,117 |
Provide tags and a correct Python 3 solution for this coding contest problem.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads (MoO) class, Kevin was confronted with a weird... | instruction | 0 | 104,059 | 22 | 208,118 |
Tags: combinatorics, dfs and similar, dsu, math, number theory
Correct Solution:
```
import math
def expmod(base, expon, mod):
ans = 1
for i in range(1, expon + 1):
ans = (ans * base) % mod
return ans
p, k = input().split()
s = 10 ** 9 + 7
k = int(k)
p = int(p)
ord = 1
done = 0
if k == 0:
z = p - 1
... | output | 1 | 104,059 | 22 | 208,119 |
Provide tags and a correct Python 3 solution for this coding contest problem.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads (MoO) class, Kevin was confronted with a weird... | instruction | 0 | 104,060 | 22 | 208,120 |
Tags: combinatorics, dfs and similar, dsu, math, number theory
Correct Solution:
```
def main():
t = 1
a = k
if k == 0: return n - 1
if k == 1: return n
while a != 1:
a = a * k % n
t += 1
p = (n - 1) // t
return p
n, k = map(int, input().split())
mod = 10 ** 9 + 7
p = mai... | output | 1 | 104,060 | 22 | 208,121 |
Provide tags and a correct Python 3 solution for this coding contest problem.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads (MoO) class, Kevin was confronted with a weird... | instruction | 0 | 104,061 | 22 | 208,122 |
Tags: combinatorics, dfs and similar, dsu, math, number theory
Correct Solution:
```
MOD = 10**9+7
def f(a,b):
if b == 1:
return a%MOD
elif b % 2 == 0:
return f((a*a)%MOD,b//2)
else:
return (a*f((a*a)%MOD,b//2)) % MOD
p,k = map(int,input().split())
if k == 0:
print(f(p,p-1))... | output | 1 | 104,061 | 22 | 208,123 |
Provide tags and a correct Python 3 solution for this coding contest problem.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads (MoO) class, Kevin was confronted with a weird... | instruction | 0 | 104,062 | 22 | 208,124 |
Tags: combinatorics, dfs and similar, dsu, math, number theory
Correct Solution:
```
M = 10**9 + 7
def period(p, k):
c = 1
ek = k
while ek != 1:
ek = (ek * k) % p
c += 1
return c
def functions(p, k):
if k == 0:
return pow(p, p-1, M)
elif k == 1:
return pow(p, ... | output | 1 | 104,062 | 22 | 208,125 |
Provide tags and a correct Python 3 solution for this coding contest problem.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads (MoO) class, Kevin was confronted with a weird... | instruction | 0 | 104,063 | 22 | 208,126 |
Tags: combinatorics, dfs and similar, dsu, math, number theory
Correct Solution:
```
MOD=int(1e9+7)
n,k=map(int,input().split())
if k==0:
p=n-1
elif k==1:
p=n
else:
t=1
a=k
while a!=1:
a=a*k%n
t+=1
p=(n-1)//t
print(pow(n,p,MOD))
``` | output | 1 | 104,063 | 22 | 208,127 |
Provide tags and a correct Python 3 solution for this coding contest problem.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads (MoO) class, Kevin was confronted with a weird... | instruction | 0 | 104,064 | 22 | 208,128 |
Tags: combinatorics, dfs and similar, dsu, math, number theory
Correct Solution:
```
__author__ = 'MoonBall'
import sys
# sys.stdin = open('data/D.in', 'r')
T = 1
M = 1000000007
def process():
P, K = list(map(int, input().split()))
k = [K * x % P for x in range(P)]
# print(k)
# f(0) = k[f(0)]
# f... | output | 1 | 104,064 | 22 | 208,129 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads... | instruction | 0 | 104,065 | 22 | 208,130 |
Yes | output | 1 | 104,065 | 22 | 208,131 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads... | instruction | 0 | 104,066 | 22 | 208,132 |
Yes | output | 1 | 104,066 | 22 | 208,133 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads... | instruction | 0 | 104,067 | 22 | 208,134 |
Yes | output | 1 | 104,067 | 22 | 208,135 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads... | instruction | 0 | 104,068 | 22 | 208,136 |
Yes | output | 1 | 104,068 | 22 | 208,137 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads... | instruction | 0 | 104,069 | 22 | 208,138 |
No | output | 1 | 104,069 | 22 | 208,139 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads... | instruction | 0 | 104,070 | 22 | 208,140 |
No | output | 1 | 104,070 | 22 | 208,141 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads... | instruction | 0 | 104,071 | 22 | 208,142 |
No | output | 1 | 104,071 | 22 | 208,143 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads... | instruction | 0 | 104,072 | 22 | 208,144 |
No | output | 1 | 104,072 | 22 | 208,145 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
If you have gone that far, you'll probably skip unnecessary legends anyway...
You are given a binary string <image> and an integer <image>. Find the number of integers k, 0 β€ k < N, such that f... | instruction | 0 | 104,119 | 22 | 208,238 |
No | output | 1 | 104,119 | 22 | 208,239 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence a0a1...aN-1 digits and a prime number Q. For each i β€ j with ai β 0, the subsequence aiai+1...aj can be read as a decimal representation of a positive integer. Subsequences with leading zeros are not considered. Your task is ... | instruction | 0 | 104,366 | 22 | 208,732 |
"Correct Solution:
```
from collections import defaultdict
def gen(N, S, W):
g = S
for i in range(N):
yield (g//7) % 10
if g % 2 == 0:
g //= 2
else:
g = (g//2) ^ W
def solve():
N, S, W, Q = map(int, input().split())
if N == 0:
return False
bs... | output | 1 | 104,366 | 22 | 208,733 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence a0a1...aN-1 digits and a prime number Q. For each i β€ j with ai β 0, the subsequence aiai+1...aj can be read as a decimal representation of a positive integer. Subsequences with leading zeros are not considered. Your task is ... | instruction | 0 | 104,367 | 22 | 208,734 |
"Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**13
mod = 10**9+9
dd = [(-1,0),(0,1),(1,0),(0,-1)]
ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)]
def LI(): return [int... | output | 1 | 104,367 | 22 | 208,735 |
Provide a correct Python 3 solution for this coding contest problem.
Division of Big Integers
Given two integers $A$ and $B$, compute the quotient, $\frac{A}{B}$. Round down to the nearest decimal.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the quotient in a li... | instruction | 0 | 104,412 | 22 | 208,824 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
"""
Big Integers - Division of Big Integers
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=NTL_2_D&lang=jp
"""
import sys
def main(args):
A, B = map(int, input().split())
sign = 1 if A*B >= 0 else -1
print(abs(A) // abs(B) * sign)
if __name__ == ... | output | 1 | 104,412 | 22 | 208,825 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
2. Replace n with 2n/3 if n is divisible by 3; ... | instruction | 0 | 105,321 | 22 | 210,642 |
Tags: brute force, greedy, implementation
Correct Solution:
```
import sys
q=int(sys.stdin.readline())
for _ in range(q):
n= int(sys.stdin.readline())
count =0
while n>1:
if n%2==0:
n//=2
count+=1
elif n%3==0:
n//=3
n*=2
count+=... | output | 1 | 105,321 | 22 | 210,643 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
2. Replace n with 2n/3 if n is divisible by 3; ... | instruction | 0 | 105,322 | 22 | 210,644 |
Tags: brute force, greedy, implementation
Correct Solution:
```
import sys
q = int(input())
for i in range(q):
#print ('i:',i)
n = int(input())
cnt = 0
while n > 1:
if n%2==0:
n = n // 2
cnt += 1
elif n%3 ==0:
n = (2*n) // 3
cnt += 1... | output | 1 | 105,322 | 22 | 210,645 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
2. Replace n with 2n/3 if n is divisible by 3; ... | instruction | 0 | 105,323 | 22 | 210,646 |
Tags: brute force, greedy, implementation
Correct Solution:
```
q = int(input())
for _ in range(q):
n = int(input())
count = 0
while n!=1:
if n%5 == 0:
n//=5
count += 3
elif n%3 == 0:
n//=3
count+=2
elif n%2 == 0:
n//= 2
... | output | 1 | 105,323 | 22 | 210,647 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
2. Replace n with 2n/3 if n is divisible by 3; ... | instruction | 0 | 105,324 | 22 | 210,648 |
Tags: brute force, greedy, implementation
Correct Solution:
```
for _ in range(int(input())):
n = int(input())
cnt = 0
while n > 1:
if n%2 == 0:
cnt += 1
n //= 2
elif n%3 == 0:
cnt += 1
n = (2 * n // 3)
elif n%5 == 0:
cnt +=... | output | 1 | 105,324 | 22 | 210,649 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
2. Replace n with 2n/3 if n is divisible by 3; ... | instruction | 0 | 105,325 | 22 | 210,650 |
Tags: brute force, greedy, implementation
Correct Solution:
```
q=int(input())
for query in range(q):
n=int(input())
ANS=0
while n>1:
if n%3==0:
ANS+=1
n=n//3*2
elif n%5==0:
ANS+=1
n=n//5*4
elif n%2==0:
ANS+=1
... | output | 1 | 105,325 | 22 | 210,651 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
2. Replace n with 2n/3 if n is divisible by 3; ... | instruction | 0 | 105,326 | 22 | 210,652 |
Tags: brute force, greedy, implementation
Correct Solution:
```
def to(n):
if n==1:return 0
c=0
while n>1:
if n%2==0:
n=n//2;c+=1
elif n%3==0:
n=(n//3)*2;c+=1
elif n%5==0:
n=(n//5)*4;c+=1
else:
return -1
break
return c
for _ in range(int(input())):
n=int(input())
print(to(n))
``` | output | 1 | 105,326 | 22 | 210,653 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
2. Replace n with 2n/3 if n is divisible by 3; ... | instruction | 0 | 105,327 | 22 | 210,654 |
Tags: brute force, greedy, implementation
Correct Solution:
```
# import sys
# sys.stdin=open("input.in","r")
for i in range(int(input())):
a=int(input())
c=0
while a>1:
if a%2==0:
a=a//2
c+=1
elif a%3==0:
a=2*(a//3)
c+=1
elif a%5==0:
a=4*(a//5)
c+=1
else:
c=-1
break
print(c)
``` | output | 1 | 105,327 | 22 | 210,655 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
2. Replace n with 2n/3 if n is divisible by 3; ... | instruction | 0 | 105,328 | 22 | 210,656 |
Tags: brute force, greedy, implementation
Correct Solution:
```
def mul5(num):
if num%5==0:
return 4*(num//5)
def mul2(num):
if num%2 ==0:
return num//2
def mul3(num):
if num%3 == 0:
return 2*(num//3)
#check 2 then 3 then 5
while True:
try:
val = int(... | output | 1 | 105,328 | 22 | 210,657 |
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 n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
... | instruction | 0 | 105,329 | 22 | 210,658 |
Yes | output | 1 | 105,329 | 22 | 210,659 |
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 n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
... | instruction | 0 | 105,330 | 22 | 210,660 |
Yes | output | 1 | 105,330 | 22 | 210,661 |
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 n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
... | instruction | 0 | 105,331 | 22 | 210,662 |
Yes | output | 1 | 105,331 | 22 | 210,663 |
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 n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
... | instruction | 0 | 105,332 | 22 | 210,664 |
Yes | output | 1 | 105,332 | 22 | 210,665 |
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 n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
... | instruction | 0 | 105,333 | 22 | 210,666 |
No | output | 1 | 105,333 | 22 | 210,667 |
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 n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
... | instruction | 0 | 105,334 | 22 | 210,668 |
No | output | 1 | 105,334 | 22 | 210,669 |
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 n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
... | instruction | 0 | 105,335 | 22 | 210,670 |
No | output | 1 | 105,335 | 22 | 210,671 |
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 n.
You can perform any of the following operations with this number an arbitrary (possibly, zero) number of times:
1. Replace n with n/2 if n is divisible by 2;
... | instruction | 0 | 105,336 | 22 | 210,672 |
No | output | 1 | 105,336 | 22 | 210,673 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a fraction x/y good if there exists at least one another fraction (x')/(y') such that x/y = (x')/(y'), 1 β€ x', y' β€ 9, the digit denoting x' is contained in the decimal representation... | instruction | 0 | 105,337 | 22 | 210,674 |
No | output | 1 | 105,337 | 22 | 210,675 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a fraction x/y good if there exists at least one another fraction (x')/(y') such that x/y = (x')/(y'), 1 β€ x', y' β€ 9, the digit denoting x' is contained in the decimal representation... | instruction | 0 | 105,338 | 22 | 210,676 |
No | output | 1 | 105,338 | 22 | 210,677 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Bubble Cup hypothesis stood unsolved for 130 years. Who ever proves the hypothesis will be regarded as one of the greatest mathematicians of our time! A famous mathematician Jerry Mao managed to reduce the hypothesis to this problem:
Gi... | instruction | 0 | 105,469 | 22 | 210,938 |
Tags: bitmasks, constructive algorithms, dp, math
Correct Solution:
```
T = input()
mod = int(1e9 + 7)
a = map(int, input().split())
c = []
for n in a:
b = (n // 2 + 2)
b = b * b
b //= 4
c.append(str(b % mod))
print(' '.join(c))
``` | output | 1 | 105,469 | 22 | 210,939 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Bubble Cup hypothesis stood unsolved for 130 years. Who ever proves the hypothesis will be regarded as one of the greatest mathematicians of our time! A famous mathematician Jerry Mao managed to reduce the hypothesis to this problem:
Gi... | instruction | 0 | 105,470 | 22 | 210,940 |
Tags: bitmasks, constructive algorithms, dp, math
Correct Solution:
```
#!/usr/bin/env python
import os
import sys
from io import BytesIO, IOBase
def readvars():
k = map(int,input().split())
return(k)
def readlist():
li = list(map(int,input().split()))
return(li)
def anslist(li):
ans = " ".join([... | output | 1 | 105,470 | 22 | 210,941 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Bubble Cup hypothesis stood unsolved for 130 years. Who ever proves the hypothesis will be regarded as one of the greatest mathematicians of our time! A famous mathematician Jerry Mao managed to reduce the hypothesis to this problem:
Gi... | instruction | 0 | 105,471 | 22 | 210,942 |
Tags: bitmasks, constructive algorithms, dp, math
Correct Solution:
```
# ===============================================================================================
# importing some useful libraries.
from __future__ import division, print_function
from fractions import Fraction
import sys
import os
from io import ... | output | 1 | 105,471 | 22 | 210,943 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Bubble Cup hypothesis stood unsolved for 130 years. Who ever proves the hypothesis will be regarded as one of the greatest mathematicians of our time! A famous mathematician Jerry Mao managed to reduce the hypothesis to this problem:
Gi... | instruction | 0 | 105,472 | 22 | 210,944 |
Tags: bitmasks, constructive algorithms, dp, math
Correct Solution:
```
t = int(input())
a = list(map(int, input().split()))
out = []
for n in a:
ans = (n//2 + 2)
ans = ans*ans
ans //= 4
out.append(ans%1000000007)
print(' '.join(str(x) for x in out))
``` | output | 1 | 105,472 | 22 | 210,945 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu... | instruction | 0 | 105,632 | 22 | 211,264 |
Tags: math
Correct Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
import heapq
#range = xrange # not for python 3.0+
# main code
mod=10**9+7
ans=0
a,b=map(int,stdin.read().split())
for i in range(1,b):
#print val
val=a
t1=(val*(val+1))//2
t1%=mod
t1=(t1*b... | output | 1 | 105,632 | 22 | 211,265 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu... | instruction | 0 | 105,633 | 22 | 211,266 |
Tags: math
Correct Solution:
```
MOD = int(1e9+7)
a, b = list(map(int, input().split()))
res = b * (b - 1) // 2 * (a + (1 + a) * a * b // 2)
print(res % MOD)
``` | output | 1 | 105,633 | 22 | 211,267 |
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