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.
For given integers m and n, compute mn (mod 1,000,000,007). Here, A (mod M) is the remainder when A is divided by M.
Constraints
* 1 β€ m β€ 100
* 1 β€ n β€ 109
Input
m n
Two integers m and n... | instruction | 0 | 99,456 | 22 | 198,912 |
No | output | 1 | 99,456 | 22 | 198,913 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For given integers m and n, compute mn (mod 1,000,000,007). Here, A (mod M) is the remainder when A is divided by M.
Constraints
* 1 β€ m β€ 100
* 1 β€ n β€ 109
Input
m n
Two integers m and n... | instruction | 0 | 99,457 | 22 | 198,914 |
No | output | 1 | 99,457 | 22 | 198,915 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For given integers m and n, compute mn (mod 1,000,000,007). Here, A (mod M) is the remainder when A is divided by M.
Constraints
* 1 β€ m β€ 100
* 1 β€ n β€ 109
Input
m n
Two integers m and n... | instruction | 0 | 99,458 | 22 | 198,916 |
No | output | 1 | 99,458 | 22 | 198,917 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For given integers m and n, compute mn (mod 1,000,000,007). Here, A (mod M) is the remainder when A is divided by M.
Constraints
* 1 β€ m β€ 100
* 1 β€ n β€ 109
Input
m n
Two integers m and n... | instruction | 0 | 99,459 | 22 | 198,918 |
No | output | 1 | 99,459 | 22 | 198,919 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f_{x} = c^{2x-6} β
f_{x-1} β
f_{x-2} β
f_{x-3} for x β₯ 4.
You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7).
Input
The only line contains five integers n, f_{1}, f_{2}, f_{3}, and c (4 β€ n β€ 10^{18}, 1 β€... | instruction | 0 | 99,551 | 22 | 199,102 |
Tags: dp, math, matrices, number theory
Correct Solution:
```
def mat_dot(A, B, mod):
assert len(A[0]) == len(B), 'invalid_size'
L = len(A)
M = len(A[0])
N = len(B[0])
res = [[0]*N for _ in range(L)]
for i in range(L):
for j in range(N):
a = 0
for k... | output | 1 | 99,551 | 22 | 199,103 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f_{x} = c^{2x-6} β
f_{x-1} β
f_{x-2} β
f_{x-3} for x β₯ 4.
You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7).
Input
The only line contains five integers n, f_{1}, f_{2}, f_{3}, and c (4 β€ n β€ 10^{18}, 1 β€... | instruction | 0 | 99,552 | 22 | 199,104 |
Tags: dp, math, matrices, number theory
Correct Solution:
```
def mat_mult(A, B, MOD):
n, m, p = len(A), len(A[0]), len(B[0])
assert (len(B) == m)
C = [[0] * p for _ in range(n)]
for i in range(n):
for k in range(m):
Aik = A[i][k]
for j in range(p):
C[i][j... | output | 1 | 99,552 | 22 | 199,105 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f_{x} = c^{2x-6} β
f_{x-1} β
f_{x-2} β
f_{x-3} for x β₯ 4.
You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7).
Input
The only line contains five integers n, f_{1}, f_{2}, f_{3}, and c (4 β€ n β€ 10^{18}, 1 β€... | instruction | 0 | 99,553 | 22 | 199,106 |
Tags: dp, math, matrices, number theory
Correct Solution:
```
def baby_step_giant_step(g, y, p):
"""y = g^x (mod p)γζΊγγxγζ±γγ"""
m = int(p**0.5) + 1
# Baby-step
baby = {}
b = 1
for i in range(m):
baby[b] = i
b = (b * g) % p
# Giant-step
gm = pow(b, p-2, p)
giant ... | output | 1 | 99,553 | 22 | 199,107 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f_{x} = c^{2x-6} β
f_{x-1} β
f_{x-2} β
f_{x-3} for x β₯ 4.
You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7).
Input
The only line contains five integers n, f_{1}, f_{2}, f_{3}, and c (4 β€ n β€ 10^{18}, 1 β€... | instruction | 0 | 99,554 | 22 | 199,108 |
Tags: dp, math, matrices, number theory
Correct Solution:
```
n, f1, f2, f3, c = list(map(int,input().split()))
mat = [[1,1,1],[1,0,0],[0,1,0]]
final = [[1,0,0],[0,1,0],[0,0,1]]
nn = n - 3
N = 10**9 + 6
def prod(a, b):
m = [[0,0,0],[0,0,0],[0,0,0]]
for i in range(3):
for j in range(3):
m[i][j] = (a[i][0]*b[0][j]... | output | 1 | 99,554 | 22 | 199,109 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f_{x} = c^{2x-6} β
f_{x-1} β
f_{x-2} β
f_{x-3} for x β₯ 4.
You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7).
Input
The only line contains five integers n, f_{1}, f_{2}, f_{3}, and c (4 β€ n β€ 10^{18}, 1 β€... | instruction | 0 | 99,555 | 22 | 199,110 |
Tags: dp, math, matrices, number theory
Correct Solution:
```
MOD = int(1e9 + 7)
def matMOD(A):
f = lambda x: x%(MOD-1)
ret = [ list(map(f, i)) for i in A ]
return ret
def matmul(A, B):
a, b = len(A), len(A[0])
c = len(B[0])
ret = [ [0] * c for i in range(a) ]
for i in range(a):
for j in range(c... | output | 1 | 99,555 | 22 | 199,111 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f_{x} = c^{2x-6} β
f_{x-1} β
f_{x-2} β
f_{x-3} for x β₯ 4.
You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7).
Input
The only line contains five integers n, f_{1}, f_{2}, f_{3}, and c (4 β€ n β€ 10^{18}, 1 β€... | instruction | 0 | 99,556 | 22 | 199,112 |
Tags: dp, math, matrices, number theory
Correct Solution:
```
import os
from io import BytesIO, StringIO
#input = BytesIO(os.read(0, os.fstat(0).st_size)).readline
DEBUG = False
debug_print = print if DEBUG else lambda *x,**y: None
def input_as_list():
return list(map(int, input().split()))
def array_of(f, *dim)... | output | 1 | 99,556 | 22 | 199,113 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f_{x} = c^{2x-6} β
f_{x-1} β
f_{x-2} β
f_{x-3} for x β₯ 4.
You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7).
Input
The only line contains five integers n, f_{1}, f_{2}, f_{3}, and c (4 β€ n β€ 10^{18}, 1 β€... | instruction | 0 | 99,557 | 22 | 199,114 |
Tags: dp, math, matrices, number theory
Correct Solution:
```
fib_matrix = [[1,1,1],
[1,0,0],
[0,1,0]]
def matrix_square(A, mod):
return mat_mult(A,A,mod)
def mat_mult(A,B, mod):
if mod is not None:
return [[(A[0][0]*B[0][0] + A[0][1]*B[1][0]+A[0][2]*B[2][0])%mod, (A[0][0]*B[0][... | output | 1 | 99,557 | 22 | 199,115 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f_{x} = c^{2x-6} β
f_{x-1} β
f_{x-2} β
f_{x-3} for x β₯ 4.
You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7).
Input
The only line contains five integers n, f_{1}, f_{2}, f_{3}, and c (4 β€ n β€ 10^{18}, 1 β€... | instruction | 0 | 99,558 | 22 | 199,116 |
Tags: dp, math, matrices, number theory
Correct Solution:
```
import math
md = 10**9+7
def multiply(M,N):
md2 = 10**9+6
R = [[0 for i in range(3)] for j in range(3)]
for i in range(0, 3):
for j in range(0, 3):
for k in range(0, 3):
R[i][j] += (M[i][k] * N[k][j])%md2
R[i][j] %= md2
return R
def po... | output | 1 | 99,558 | 22 | 199,117 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f_{x} = c^{2x-6} β
f_{x-1} β
f_{x-2} β
f_{x-3} for x β₯ 4.
You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7).
Input
The only line contains five integers n, f... | instruction | 0 | 99,564 | 22 | 199,128 |
No | output | 1 | 99,564 | 22 | 199,129 |
Provide tags and a correct Python 3 solution for this coding contest problem.
n distinct integers x_1,x_2,β¦,x_n are written on the board. Nezzar can perform the following operation multiple times.
* Select two integers x,y (not necessarily distinct) on the board, and write down 2x-y. Note that you don't remove sele... | instruction | 0 | 99,662 | 22 | 199,324 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
import math
def gcd(a,b):
return math.gcd(a,b)
for _ in range(int(input())):
n,k=map(int,input().split())
l=list(map(int,input().split()))
g=0
l.sort()
for i in range(1,n):
g=gcd(g,l[i]-l[0])
if (k-l[0])%g==0:
... | output | 1 | 99,662 | 22 | 199,325 |
Provide tags and a correct Python 3 solution for this coding contest problem.
n distinct integers x_1,x_2,β¦,x_n are written on the board. Nezzar can perform the following operation multiple times.
* Select two integers x,y (not necessarily distinct) on the board, and write down 2x-y. Note that you don't remove sele... | instruction | 0 | 99,664 | 22 | 199,328 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
def gcd(x, y):
while y != 0:
(x, y) = (y, x % y)
return x
def main():
t=int(input())
allAns=[]
for _ in range(t):
n,k=readIntArr()
a=readIntArr()
cumugcd=0
for i in range(... | output | 1 | 99,664 | 22 | 199,329 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x.
You are given multiple queries consisting of pairs of integers l and r. For each query, find the x, such that l β€ x β€ r, a... | instruction | 0 | 99,779 | 22 | 199,558 |
Tags: bitmasks, constructive algorithms
Correct Solution:
```
for i in range(int(input())):
l,r=map(int,input().split())
while(l|(l+1)<=r): l|=l+1
print(l)
# Made By Mostafa_Khaled
``` | output | 1 | 99,779 | 22 | 199,559 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x.
You are given multiple queries consisting of pairs of integers l and r. For each query, find the x, such that l β€ x β€ r, a... | instruction | 0 | 99,783 | 22 | 199,566 |
Tags: bitmasks, constructive algorithms
Correct Solution:
```
"""
pppppppppppppppppppp
ppppp ppppppppppppppppppp
ppppppp ppppppppppppppppppppp
pppppppp pppppppppppppppppppppp
ppppppppppppppppppppp... | output | 1 | 99,783 | 22 | 199,567 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€ n, k β€ 109).
Output
Print the smallest integ... | instruction | 0 | 99,893 | 22 | 199,786 |
Tags: implementation, math
Correct Solution:
```
import sys
import math
def main():
str_list = sys.stdin.readline().strip("\n").split(" ")
number_list = [int(str(i)) for i in str_list]
t = number_list[0]
x = number_list[1]
res = math.ceil(t / x)
if(t % x == 0):
res += 1
res *= x
... | output | 1 | 99,893 | 22 | 199,787 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€ n, k β€ 109).
Output
Print the smallest integ... | instruction | 0 | 99,894 | 22 | 199,788 |
Tags: implementation, math
Correct Solution:
```
n, k = map(int, input().split())
print((int(n / k) + 1) * k)
``` | output | 1 | 99,894 | 22 | 199,789 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€ n, k β€ 109).
Output
Print the smallest integ... | instruction | 0 | 99,895 | 22 | 199,790 |
Tags: implementation, math
Correct Solution:
```
import sys
str_list = sys.stdin.readline().strip("\n").split(" ")
number_list = [int(str(i)) for i in str_list]
t = number_list[0]
x = number_list[1]
y = (t + x)%x
res = t+x - y
print(res)
``` | output | 1 | 99,895 | 22 | 199,791 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€ n, k β€ 109).
Output
Print the smallest integ... | instruction | 0 | 99,896 | 22 | 199,792 |
Tags: implementation, math
Correct Solution:
```
from sys import stdin
def parse():
line = stdin.readline().split()
N, K = map( int, line)
quo, rem = int(N/K), N%K
ans = (quo+1)*K
print( ans)
parse()
``` | output | 1 | 99,896 | 22 | 199,793 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€ n, k β€ 109).
Output
Print the smallest integ... | instruction | 0 | 99,897 | 22 | 199,794 |
Tags: implementation, math
Correct Solution:
```
n,k=map(int,input().split())
print(n+k-n%k)
``` | output | 1 | 99,897 | 22 | 199,795 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€ n, k β€ 109).
Output
Print the smallest integ... | instruction | 0 | 99,898 | 22 | 199,796 |
Tags: implementation, math
Correct Solution:
```
n, k = map(int, input().split())
ans = (n // k + 1) * k
print(ans)
``` | output | 1 | 99,898 | 22 | 199,797 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€ n, k β€ 109).
Output
Print the smallest integ... | instruction | 0 | 99,899 | 22 | 199,798 |
Tags: implementation, math
Correct Solution:
```
#A
cin=lambda:map(int,input().split())
n,k=cin()
print((n//k)*k+k)
``` | output | 1 | 99,899 | 22 | 199,799 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€ n, k β€ 109).
Output
Print the smallest integ... | instruction | 0 | 99,900 | 22 | 199,800 |
Tags: implementation, math
Correct Solution:
```
s= input("").split(' ')
n= int(s[0])
k= int(s[1])
if k>n:
print(str(k))
else:
a=int(n/k)
counter= k*a
while True:
if(counter>n):
print(str(counter))
break
counter=counter+k
``` | output | 1 | 99,900 | 22 | 199,801 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€... | instruction | 0 | 99,901 | 22 | 199,802 |
Yes | output | 1 | 99,901 | 22 | 199,803 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€... | instruction | 0 | 99,902 | 22 | 199,804 |
Yes | output | 1 | 99,902 | 22 | 199,805 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€... | instruction | 0 | 99,903 | 22 | 199,806 |
Yes | output | 1 | 99,903 | 22 | 199,807 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€... | instruction | 0 | 99,904 | 22 | 199,808 |
Yes | output | 1 | 99,904 | 22 | 199,809 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€... | instruction | 0 | 99,905 | 22 | 199,810 |
No | output | 1 | 99,905 | 22 | 199,811 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€... | instruction | 0 | 99,906 | 22 | 199,812 |
No | output | 1 | 99,906 | 22 | 199,813 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€... | instruction | 0 | 99,907 | 22 | 199,814 |
No | output | 1 | 99,907 | 22 | 199,815 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k.
Input
The only line contains two integers n and k (1 β€... | instruction | 0 | 99,908 | 22 | 199,816 |
No | output | 1 | 99,908 | 22 | 199,817 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X.
Constraints
* 1 \leq X \leq 10^9
* X is an integer.
* There exists... | instruction | 0 | 100,106 | 22 | 200,212 |
No | output | 1 | 100,106 | 22 | 200,213 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of N integers: A_1, A_2, \cdots, A_N.
You can perform the following operation between 0 and K times (inclusive):
* Choose two integers i and j such that i \neq j, each between 1 and N (inclusive). Add 1 to A_i and -1 to A_j, poss... | instruction | 0 | 100,125 | 22 | 200,250 |
"Correct Solution:
```
N, K = map(int, input().split())
A = list(map(int, input().split()))
sumA = sum(A)
divisors = []
for i in range(1, sumA + 1):
if i * i > sumA:
break
if sumA % i != 0:
continue
divisors.append(i)
if sumA // i != i:
divisors.append(sumA // i)
divisors.sort(... | output | 1 | 100,125 | 22 | 200,251 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of N integers: A_1, A_2, \cdots, A_N.
You can perform the following operation between 0 and K times (inclusive):
* Choose two integers i and j such that i \neq j, each between 1 and N (inclusive). Add 1 to A_i and -1 to A_j, poss... | instruction | 0 | 100,129 | 22 | 200,258 |
"Correct Solution:
```
n,k=map(int,input().split())
a=[int(x) for x in input().split()]
s=sum(a)
candidates=set()
for i in range(1,int(s**0.5)+2):
if s%i==0:
candidates.add(i)
candidates.add(s//i)
ans=0
for cdd in candidates:
div_cdd=[0]*n
for i in range(n):
div_cdd[i]=a[i]%cdd
div_cdd=sorted(div_... | output | 1 | 100,129 | 22 | 200,259 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of N integers: A_1, A_2, \cdots, A_N.
You can perform the following operation between 0 and K times (inclusive):
* Choose two integers i and j such that i \neq j, each between 1 and N (inclusive). Add 1 to A_i and -1 to A_j, poss... | instruction | 0 | 100,130 | 22 | 200,260 |
"Correct Solution:
```
from itertools import accumulate
N, K, *A = map(int, open(0).read().split())
s = sum(A)
divisor = []
for i in range(1, int(s ** 0.5) + 1):
if s % i == 0:
divisor.append(i)
if i != s // i:
divisor.append(s // i)
ans = 0
for d in divisor:
x = sorted(v % d for ... | output | 1 | 100,130 | 22 | 200,261 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a sequence of N integers: A_1, A_2, \cdots, A_N.
You can perform the following operation between 0 and K times (inclusive):
* Choose two integers i and j such that i \neq j, each betwe... | instruction | 0 | 100,133 | 22 | 200,266 |
Yes | output | 1 | 100,133 | 22 | 200,267 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a sequence of N integers: A_1, A_2, \cdots, A_N.
You can perform the following operation between 0 and K times (inclusive):
* Choose two integers i and j such that i \neq j, each betwe... | instruction | 0 | 100,134 | 22 | 200,268 |
Yes | output | 1 | 100,134 | 22 | 200,269 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a sequence of N integers: A_1, A_2, \cdots, A_N.
You can perform the following operation between 0 and K times (inclusive):
* Choose two integers i and j such that i \neq j, each betwe... | instruction | 0 | 100,137 | 22 | 200,274 |
No | output | 1 | 100,137 | 22 | 200,275 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a sequence of N integers: A_1, A_2, \cdots, A_N.
You can perform the following operation between 0 and K times (inclusive):
* Choose two integers i and j such that i \neq j, each betwe... | instruction | 0 | 100,139 | 22 | 200,278 |
No | output | 1 | 100,139 | 22 | 200,279 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a sequence of N integers: A_1, A_2, \cdots, A_N.
You can perform the following operation between 0 and K times (inclusive):
* Choose two integers i and j such that i \neq j, each betwe... | instruction | 0 | 100,140 | 22 | 200,280 |
No | output | 1 | 100,140 | 22 | 200,281 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We define x mod y as the remainder of division of x by y (\% operator in C++ or Java, mod operator in Pascal).
Let's call an array of positive integers [a_1, a_2, ..., a_k] stable if for every permutation p of integers from 1 to k, and for ... | instruction | 0 | 100,493 | 22 | 200,986 |
Tags: combinatorics, math, number theory
Correct Solution:
```
#------------------------------warmup----------------------------
import os
import sys
import math
from io import BytesIO, IOBase
from fractions import Fraction
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
... | output | 1 | 100,493 | 22 | 200,987 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We define x mod y as the remainder of division of x by y (\% operator in C++ or Java, mod operator in Pascal).
Let's call an array of positive integers [a_1, a_2, ..., a_k] stable if for every permutation p of integers from 1 to k, and for ... | instruction | 0 | 100,494 | 22 | 200,988 |
Tags: combinatorics, math, number theory
Correct Solution:
```
import sys
input=sys.stdin.readline
p=998244353
pri=p
fac=[1 for i in range((5*(10**5))+1)]
for i in range(2,len(fac)):
fac[i]=(fac[i-1]*(i%pri))%pri
def modi(x):
return (pow(x,p-2,p))%p;
def ncr(n,r):
x=(fac[n]*((modi(fac[r])%p)*(modi(fa... | output | 1 | 100,494 | 22 | 200,989 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We define x mod y as the remainder of division of x by y (\% operator in C++ or Java, mod operator in Pascal).
Let's call an array of positive integers [a_1, a_2, ..., a_k] stable if for every permutation p of integers from 1 to k, and for ... | instruction | 0 | 100,495 | 22 | 200,990 |
Tags: combinatorics, math, number theory
Correct Solution:
```
n,k=map(int,input().split())
ans=0
fact=[0]*(n+1)
invfact=[0]*(n+1)
fact[0]=1
invfact[0]=1
m=998244353
ans=0
for j in range(1,n+1):
fact[j]=(fact[j-1]*j)%m
invfact[j]=pow(fact[j],m-2,m)
def comb( n, k):
if n<k or n<0 :
return 0
retur... | output | 1 | 100,495 | 22 | 200,991 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We define x mod y as the remainder of division of x by y (\% operator in C++ or Java, mod operator in Pascal).
Let's call an array of positive integers [a_1, a_2, ..., a_k] stable if for every permutation p of integers from 1 to k, and for ... | instruction | 0 | 100,497 | 22 | 200,994 |
Tags: combinatorics, math, number theory
Correct Solution:
```
import sys
from collections import defaultdict as dd
from collections import deque
from fractions import Fraction as f
def eprint(*args):
print(*args, file=sys.stderr)
zz=1
from math import *
import copy
#sys.setrecursionlimit(10**6)
if zz:
input=sys.s... | output | 1 | 100,497 | 22 | 200,995 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We define x mod y as the remainder of division of x by y (\% operator in C++ or Java, mod operator in Pascal).
Let's call an array of positive integers [a_1, a_2, ..., a_k] stable if for every permutation p of integers from 1 to k, and for ... | instruction | 0 | 100,498 | 22 | 200,996 |
Tags: combinatorics, math, number theory
Correct Solution:
```
from math import sqrt
n,k = [int(x) for x in input().split()]
if n//k > 500:
modNum = 998244353
def choose(n,k):
if k >= n:
return 1
base = 1
div = min(k,n-k)
for x in range(1,div+1):
... | output | 1 | 100,498 | 22 | 200,997 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We define x mod y as the remainder of division of x by y (\% operator in C++ or Java, mod operator in Pascal).
Let's call an array of positive integers [a_1, a_2, ..., a_k] stable if for every permutation p of integers from 1 to k, and for ... | instruction | 0 | 100,499 | 22 | 200,998 |
Tags: combinatorics, math, number theory
Correct Solution:
```
"""
NTC here
"""
#!/usr/bin/env python
import os
import sys
from io import BytesIO, IOBase
profile = 0
def iin(): return int(input())
def lin(): return list(map(int, input().split()))
N = 5*10**5
factorialInv = [None] * (N + 1)
naturalInv = [... | output | 1 | 100,499 | 22 | 200,999 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We define x mod y as the remainder of division of x by y (\% operator in C++ or Java, mod operator in Pascal).
Let's call an array of positive integers [a_1, a_2, ..., a_k] stable if for every permutation p of integers from 1 to k, and for ... | instruction | 0 | 100,500 | 22 | 201,000 |
Tags: combinatorics, math, number theory
Correct Solution:
```
n,k=map(int,input().split())
mod = 998244353
f = [1]
for i in range(n):
f += [f[-1]*(i+1) % mod]
def comb(a, b):
return f[a]*pow(f[b], mod-2, mod)*pow(f[a-b], mod-2, mod) % mod
ans=0
for i in range(1,n+1):
m=(n//i)-1
if m<(k-1):break
ans+=comb(m... | output | 1 | 100,500 | 22 | 201,001 |
Provide tags and a correct Python 2 solution for this coding contest problem.
We define x mod y as the remainder of division of x by y (\% operator in C++ or Java, mod operator in Pascal).
Let's call an array of positive integers [a_1, a_2, ..., a_k] stable if for every permutation p of integers from 1 to k, and for ... | instruction | 0 | 100,501 | 22 | 201,002 |
Tags: combinatorics, 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=998244353
def ni():
return int(raw_input())
def li():
return map(int,raw_... | output | 1 | 100,501 | 22 | 201,003 |
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