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 two integers a and m. Calculate the number of integers x such that 0 β€ x < m and \gcd(a, m) = \gcd(a + x, m).
Note: \gcd(a, b) is the greatest common divisor of a and b.
Input
T... | instruction | 0 | 17,825 | 22 | 35,650 |
No | output | 1 | 17,825 | 22 | 35,651 |
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 m. Calculate the number of integers x such that 0 β€ x < m and \gcd(a, m) = \gcd(a + x, m).
Note: \gcd(a, b) is the greatest common divisor of a and b.
Input
T... | instruction | 0 | 17,826 | 22 | 35,652 |
No | output | 1 | 17,826 | 22 | 35,653 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,... | instruction | 0 | 17,853 | 22 | 35,706 |
Tags: brute force, math, number theory
Correct Solution:
```
import sys
readline = sys.stdin.readline
from collections import Counter
def gcd(a, b):
while b: a, b = b, a % b
return a
def isPrimeMR(n):
d = n - 1
d = d // (d & -d)
L = [2]
for a in L:
t = d
y = pow(a, t, n)
... | output | 1 | 17,853 | 22 | 35,707 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,... | instruction | 0 | 17,854 | 22 | 35,708 |
Tags: brute force, math, number theory
Correct Solution:
```
from math import pow
def pizda(n):
i = 2
primfac = []
while i * i <= n:
while n % i == 0:
primfac.append(i)
n = n // i
i = i + 1
if n > 1:
primfac.append(n)
return primfac
t=int(input())
... | output | 1 | 17,854 | 22 | 35,709 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,... | instruction | 0 | 17,855 | 22 | 35,710 |
Tags: brute force, math, number theory
Correct Solution:
```
for _ in range(int(input())):
p, q = map(int,input().split())
res= q
arr=[];j=2
while j*j <= res:
if res % j == 0:
arr.append(j)
while res % j == 0:
res = res // j
j += 1
if res > 1:
arr.append(res)
res = 1
for ... | output | 1 | 17,855 | 22 | 35,711 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,... | instruction | 0 | 17,856 | 22 | 35,712 |
Tags: brute force, math, number theory
Correct Solution:
```
def facts(n):
r=[n]
i=2
while(i*i<=n):
if(n%i==0):
r.append(i)
if(n//i!=i):
r.append(n//i)
i+=1
return r
for i in range(int(input())):
a,b=map(int,input().split())
if(a%b!=0):... | output | 1 | 17,856 | 22 | 35,713 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,... | instruction | 0 | 17,857 | 22 | 35,714 |
Tags: brute force, math, number theory
Correct Solution:
```
for _ in range(int(input())):
a,b = list(map(int,input().split()))
if a%b != 0:
print(a)
continue
bDevVal = []
bDevAm = []
iter = 2
bc = b
while iter*iter <= bc:
if bc%iter == 0:
bDevVal.append(i... | output | 1 | 17,857 | 22 | 35,715 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,... | instruction | 0 | 17,858 | 22 | 35,716 |
Tags: brute force, math, number theory
Correct Solution:
```
for _ in " "*int(input()):
p,q=map(int,input().split())
if p%q:
print(p)
else:
lst=[]
i=2
while i*i<=q:
if not q%i:
lst.append(i)
if i!=q//i:
lst.append(q//i)
i+=1
lst.append(q)
num=1
# ... | output | 1 | 17,858 | 22 | 35,717 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,... | instruction | 0 | 17,859 | 22 | 35,718 |
Tags: brute force, math, number theory
Correct Solution:
```
from collections import defaultdict
primes = {i for i in range(2, 10**5)}
for i in range(2, 10**5):
if i in primes:
for j in range(2*i, 10**5, i):
if j in primes:
primes.remove(j)
primes = list(primes)
primes.sort()
d... | output | 1 | 17,859 | 22 | 35,719 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i,... | instruction | 0 | 17,860 | 22 | 35,720 |
Tags: brute force, math, number theory
Correct Solution:
```
import sys
from math import gcd,sqrt,ceil,log2
from collections import defaultdict,Counter,deque
from bisect import bisect_left,bisect_right
import math
sys.setrecursionlimit(2*10**5+10)
import heapq
from itertools import permutations
# input=sys.stdin.readl... | output | 1 | 17,860 | 22 | 35,721 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each... | instruction | 0 | 17,861 | 22 | 35,722 |
Yes | output | 1 | 17,861 | 22 | 35,723 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each... | instruction | 0 | 17,862 | 22 | 35,724 |
Yes | output | 1 | 17,862 | 22 | 35,725 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each... | instruction | 0 | 17,863 | 22 | 35,726 |
Yes | output | 1 | 17,863 | 22 | 35,727 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each... | instruction | 0 | 17,864 | 22 | 35,728 |
Yes | output | 1 | 17,864 | 22 | 35,729 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each... | instruction | 0 | 17,865 | 22 | 35,730 |
No | output | 1 | 17,865 | 22 | 35,731 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each... | instruction | 0 | 17,866 | 22 | 35,732 |
No | output | 1 | 17,866 | 22 | 35,733 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each... | instruction | 0 | 17,867 | 22 | 35,734 |
No | output | 1 | 17,867 | 22 | 35,735 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each... | instruction | 0 | 17,868 | 22 | 35,736 |
No | output | 1 | 17,868 | 22 | 35,737 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fractions to a common denominator and summed them ... | instruction | 0 | 18,011 | 22 | 36,022 |
Tags: math, number theory
Correct Solution:
```
n,x=map(int,input().split())
l=list(map(int,input().split()))
from collections import Counter
l.sort()
gcd=sum(l[:n-1])
m=10**9+7
s=sum(l)
l1=[]
for i in l:
l1.append(s-i-gcd)
c=Counter(l1)
l2=[]
for i in c:
l2.append(i)
l2.sort()
z=True
while z:
z=False
f... | output | 1 | 18,011 | 22 | 36,023 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fractions to a common denominator and summed them ... | instruction | 0 | 18,012 | 22 | 36,024 |
Tags: math, number theory
Correct Solution:
```
import math
pri=pow(10,9)+7
n,x=map(int,input().split())
z=list(map(int,input().split()))
sumr=sum(z)
gcd=sumr-max(z)
t=max(z)
ans=z.copy()
for i in range(len(ans)):
ans[i]=t-ans[i]
ans.sort()
temp=[]
count=1
from heapq import *
temp=[]
for i in range(1,len(ans)):
... | output | 1 | 18,012 | 22 | 36,025 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fractions to a common denominator and summed them ... | instruction | 0 | 18,013 | 22 | 36,026 |
Tags: math, number theory
Correct Solution:
```
n, x = map(int, input().split())
t = list(map(int, input().split()))
b = max(t)
k = t.count(b)
r = sum(t)
s = r - b
while k % x == 0:
b -= 1
s += 1
k = k // x + t.count(b)
print(pow(x, min(r, s), 1000000007))
# Made By Mostafa_Khaled
``` | output | 1 | 18,013 | 22 | 36,027 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fractions to a common denominator and summed them ... | instruction | 0 | 18,014 | 22 | 36,028 |
Tags: math, number theory
Correct Solution:
```
def Solve(x, a_i):
max_a_i = max(a_i)
count = a_i.count(max_a_i)
A = sum(a_i)
v = A - max_a_i
while count % x == 0:
max_a_i -= 1
v +=1
count = count//x + a_i.count(max_a_i)
return pow(x, min(v, A), 1000000007)
n, x = map(i... | output | 1 | 18,014 | 22 | 36,029 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fractions to a common denominator and summed them ... | instruction | 0 | 18,015 | 22 | 36,030 |
Tags: math, number theory
Correct Solution:
```
modulus = 10 ** 9 + 7
def main():
n, x = map(int, input().split())
arr = list(map(int, input().split()))
total = sum(arr)
powers = [total - x for x in arr]
powers.sort(reverse=True)
while True:
low = powers[len(powers) - 1]
cn... | output | 1 | 18,015 | 22 | 36,031 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fractions to a common denominator and summed them ... | instruction | 0 | 18,016 | 22 | 36,032 |
Tags: math, number theory
Correct Solution:
```
MOD = 10**9+7
def pow(x, n, MOD):
if(n==0):
return 1
if(n%2==0):
a = pow(x, n//2, MOD)
return a*a % MOD
else:
a = pow(x, n//2, MOD)
return (x*a*a) % MOD
n, x = [int(x) for x in input().split()]
a = [int(x) for x in inpu... | output | 1 | 18,016 | 22 | 36,033 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fractions to a common denominator and summed them ... | instruction | 0 | 18,017 | 22 | 36,034 |
Tags: math, number theory
Correct Solution:
```
n, x = map(int, input().split())
t = list(map(int, input().split()))
b = max(t)
k = t.count(b)
r = sum(t)
s = r - b
while k % x == 0:
b -= 1
s += 1
k = k // x + t.count(b)
print(pow(x, min(r, s), 1000000007))
``` | output | 1 | 18,017 | 22 | 36,035 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fractions to a common denominator and summed them ... | instruction | 0 | 18,018 | 22 | 36,036 |
Tags: math, number theory
Correct Solution:
```
#!/usr/bin/python3
def readln(): return tuple(map(int, input().split()))
n, x = readln()
a = readln()
m = max(a)
ans = sum(a) - m
cnt = {}
for v in a:
cnt[m - v] = cnt.get(m - v, 0) + 1
while True:
k = min(cnt.keys())
v = cnt[k]
c = 0
while v % x == ... | output | 1 | 18,018 | 22 | 36,037 |
Provide tags and a correct Python 2 solution for this coding contest problem.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fractions to a common denominator and summed them ... | instruction | 0 | 18,019 | 22 | 36,038 |
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
mod=10**9+7
def in_num():
return int(raw_input())
def in_arr():
return map(int,raw_input().... | output | 1 | 18,019 | 22 | 36,039 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fra... | instruction | 0 | 18,020 | 22 | 36,040 |
Yes | output | 1 | 18,020 | 22 | 36,041 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fra... | instruction | 0 | 18,021 | 22 | 36,042 |
Yes | output | 1 | 18,021 | 22 | 36,043 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fra... | instruction | 0 | 18,022 | 22 | 36,044 |
Yes | output | 1 | 18,022 | 22 | 36,045 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fra... | instruction | 0 | 18,023 | 22 | 36,046 |
Yes | output | 1 | 18,023 | 22 | 36,047 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fra... | instruction | 0 | 18,024 | 22 | 36,048 |
No | output | 1 | 18,024 | 22 | 36,049 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fra... | instruction | 0 | 18,025 | 22 | 36,050 |
No | output | 1 | 18,025 | 22 | 36,051 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fra... | instruction | 0 | 18,026 | 22 | 36,052 |
No | output | 1 | 18,026 | 22 | 36,053 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has a prime number x and an array of non-negative integers a1, a2, ..., an.
Simon loves fractions very much. Today he wrote out number <image> on a piece of paper. After Simon led all fra... | instruction | 0 | 18,027 | 22 | 36,054 |
No | output | 1 | 18,027 | 22 | 36,055 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Arthur and Alexander are number busters. Today they've got a competition.
Arthur took a group of four integers a, b, w, x (0 β€ b < w, 0 < x < w) and Alexander took integer Ρ. Arthur and Alexander use distinct approaches to number bustings.... | instruction | 0 | 18,033 | 22 | 36,066 |
Tags: binary search, math
Correct Solution:
```
import fileinput;
str = input();
sstr = str.split(' ')
a,b,w,x,c = int(sstr[0]),int(sstr[1]),int(sstr[2]),int(sstr[3]),int(sstr[4])
dif = c-a
up = max(0,int((dif*x-b)/(w-x)))
b = b+up*(w-x)
count = up
while dif > 0:
if (b >= x):
factor = min(int((b - x)/x)... | output | 1 | 18,033 | 22 | 36,067 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such s... | instruction | 0 | 18,224 | 22 | 36,448 |
Tags: dp, greedy, math, number theory
Correct Solution:
```
fun = lambda num: -1 if num in [1, 2, 3, 5, 7, 11] else num//4 - num%2
[print(fun(int(input()))) for i in range(int(input()))]
# Made By Mostafa_Khaled
``` | output | 1 | 18,224 | 22 | 36,449 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such s... | instruction | 0 | 18,225 | 22 | 36,450 |
Tags: dp, greedy, math, number theory
Correct Solution:
```
t = int(input())
for i in range(t):
n = int(input())
if n in [1, 2, 3, 5, 7, 11]:
print(-1)
else:
print((n // 4) - (n % 2))
``` | output | 1 | 18,225 | 22 | 36,451 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such s... | instruction | 0 | 18,226 | 22 | 36,452 |
Tags: dp, greedy, math, number theory
Correct Solution:
```
import sys
readline = sys.stdin.readline
Q = int(readline())
Ans = [None]*Q
ans = [None, -1, -1, -1, 1, -1, 1, -1, 2, 1, 2, -1, 3, 2, 3, 2]
for qu in range(Q):
N = int(readline())
if N <= 15:
Ans[qu] = ans[N]
continue
if N%4 == 0... | output | 1 | 18,226 | 22 | 36,453 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such s... | instruction | 0 | 18,227 | 22 | 36,454 |
Tags: dp, greedy, math, number theory
Correct Solution:
```
t = int(input())
for i in range(t):
n = int(input())
if n in [1, 2, 3, 5, 7, 11]:
print(-1)
elif n % 4 == 0:
print(n // 4)
elif n % 4 == 1:
print((n - 9) // 4 + 1)
elif n % 4 == 2:
print((n - 6) // 4 + 1)
... | output | 1 | 18,227 | 22 | 36,455 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such s... | instruction | 0 | 18,228 | 22 | 36,456 |
Tags: dp, greedy, math, number theory
Correct Solution:
```
for i in range(int(input())):
num = int(input())
print(-1 if num in [1, 2, 3, 5, 7, 11] else (num >> 2) - (num & 1))
``` | output | 1 | 18,228 | 22 | 36,457 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such s... | instruction | 0 | 18,229 | 22 | 36,458 |
Tags: dp, greedy, math, number theory
Correct Solution:
```
def find(n):
if n%4==0:
return n//4
elif n%4==1:
if n>=4*2+1:
return n//4-1
else:
return -1
elif n%4==2:
if n>2:
return n//4
else:
return -1
else:
i... | output | 1 | 18,229 | 22 | 36,459 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such s... | instruction | 0 | 18,230 | 22 | 36,460 |
Tags: dp, greedy, math, number theory
Correct Solution:
```
n = int(input())
while n:
n-=1
num = int(input())
if num % 4 == 0:
print(num//4)
elif num % 4 == 1:
print( (num//4 - 2 + 1) if (num//4 - 2 +1) > 0 else -1 )
elif num % 4 == 2:
print( num//4 if num//4 > 0 else -1 )
elif num % 4 == 3:
... | output | 1 | 18,230 | 22 | 36,461 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such s... | instruction | 0 | 18,231 | 22 | 36,462 |
Tags: dp, greedy, math, number theory
Correct Solution:
```
for _ in " "*int(input()):
a=int(input())
if a<4 or a in [5,7,11]:print(-1)
else:print((a//4)-((a%4)%2!=0))
``` | output | 1 | 18,231 | 22 | 36,463 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maxi... | instruction | 0 | 18,232 | 22 | 36,464 |
No | output | 1 | 18,232 | 22 | 36,465 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maxi... | instruction | 0 | 18,233 | 22 | 36,466 |
No | output | 1 | 18,233 | 22 | 36,467 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maxi... | instruction | 0 | 18,234 | 22 | 36,468 |
No | output | 1 | 18,234 | 22 | 36,469 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maxi... | instruction | 0 | 18,235 | 22 | 36,470 |
No | output | 1 | 18,235 | 22 | 36,471 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We consider a positive integer perfect, if and only if the sum of its digits is exactly 10. Given a positive integer k, your task is to find the k-th smallest perfect positive integer.
Input
A single line with a positive integer k (1 β€ k β€... | instruction | 0 | 18,254 | 22 | 36,508 |
Tags: binary search, brute force, dp, implementation, number theory
Correct Solution:
```
def somme(n):
s=0
while(n>0):
s+=n%10
n=n//10
return s
k = int(input())
position=0
perfect=19
while(position!=k):
if(somme(perfect)==10):
position=position+1
perfect=pe... | output | 1 | 18,254 | 22 | 36,509 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D... | instruction | 0 | 18,356 | 22 | 36,712 |
"Correct Solution:
```
def read_int():
return int(input().strip())
def read_ints():
return list(map(int, input().strip().split(' ')))
def solve():
"""
_ _
dp[i][j][one_of_previous_number_is_lower] = count of remainder j up to i-th digit, 0 <= j < D
dp[i][(j+digit)%D][True] += dp[i-1][j]... | output | 1 | 18,356 | 22 | 36,713 |
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