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.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum poss... | instruction | 0 | 38,723 | 22 | 77,446 |
Yes | output | 1 | 38,723 | 22 | 77,447 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum poss... | instruction | 0 | 38,724 | 22 | 77,448 |
Yes | output | 1 | 38,724 | 22 | 77,449 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum poss... | instruction | 0 | 38,725 | 22 | 77,450 |
Yes | output | 1 | 38,725 | 22 | 77,451 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum poss... | instruction | 0 | 38,726 | 22 | 77,452 |
No | output | 1 | 38,726 | 22 | 77,453 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum poss... | instruction | 0 | 38,727 | 22 | 77,454 |
No | output | 1 | 38,727 | 22 | 77,455 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum poss... | instruction | 0 | 38,728 | 22 | 77,456 |
No | output | 1 | 38,728 | 22 | 77,457 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We guessed some integer number x. You are given a list of almost all its divisors. Almost all means that there are all divisors except 1 and x in the list.
Your task is to find the minimum poss... | instruction | 0 | 38,729 | 22 | 77,458 |
No | output | 1 | 38,729 | 22 | 77,459 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given an array a, consisting of n integers, find:
$$$max_{1 ≤ i < j ≤ n} LCM(a_i,a_j),$$$
where LCM(x, y) is the smallest positive integer that is divisible by both x and y. For example, LCM(6... | instruction | 0 | 38,768 | 22 | 77,536 |
No | output | 1 | 38,768 | 22 | 77,537 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given an array a, consisting of n integers, find:
$$$max_{1 ≤ i < j ≤ n} LCM(a_i,a_j),$$$
where LCM(x, y) is the smallest positive integer that is divisible by both x and y. For example, LCM(6... | instruction | 0 | 38,769 | 22 | 77,538 |
No | output | 1 | 38,769 | 22 | 77,539 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given an array a, consisting of n integers, find:
$$$max_{1 ≤ i < j ≤ n} LCM(a_i,a_j),$$$
where LCM(x, y) is the smallest positive integer that is divisible by both x and y. For example, LCM(6... | instruction | 0 | 38,770 | 22 | 77,540 |
No | output | 1 | 38,770 | 22 | 77,541 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given an array a, consisting of n integers, find:
$$$max_{1 ≤ i < j ≤ n} LCM(a_i,a_j),$$$
where LCM(x, y) is the smallest positive integer that is divisible by both x and y. For example, LCM(6... | instruction | 0 | 38,771 | 22 | 77,542 |
No | output | 1 | 38,771 | 22 | 77,543 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2 ⋅ 10^5).
The seco... | instruction | 0 | 38,869 | 22 | 77,738 |
Tags: math, number theory
Correct Solution:
```
def gcd(a, b):
if b == 0:
return a
else:
return gcd(b, a%b)
def lgcd(a):
res = a[0]
for i in range(1, len(a)):
res = gcd(res, a[i])
return res
n, m = map(int, input().split())
a = sorted(list(map(int, input().split()))... | output | 1 | 38,869 | 22 | 77,739 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2 ⋅ 10^5).
The seco... | instruction | 0 | 38,870 | 22 | 77,740 |
Tags: math, number theory
Correct Solution:
```
n, m = map(int, input().split())
a = sorted(map(int, input().split()))
b = list(map(int, input().split()))
def gcd(x, y):
while x != 0 and y != 0:
if x > y:
x, y = y, x
x, y = y % x, x
return x + y
g = 0
for i in range(n - 1):
g =... | output | 1 | 38,870 | 22 | 77,741 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2 ⋅ 10^5).
The seco... | instruction | 0 | 38,871 | 22 | 77,742 |
Tags: math, number theory
Correct Solution:
```
from sys import stdin
def gcd(a,b):
if b==0:
return(a)
return(gcd(b,a%b))
n,m=map(int,stdin.readline().split())
a=list(map(int,stdin.readline().split()))
b=list(map(int,stdin.readline().split()))
mini=min(a)
prevg=0
for i in a:
prevg=gcd(i-mini,prevg)
for i in b:
... | output | 1 | 38,871 | 22 | 77,743 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2 ⋅ 10^5).
The seco... | instruction | 0 | 38,872 | 22 | 77,744 |
Tags: math, number theory
Correct Solution:
```
from math import gcd
n,m=map(int,input().split());a=list(map(int,input().split()));b=list(map(int,input().split()));out=0
for i in range(1,n):out=gcd(out,abs(a[0]-a[i]))
print(*[gcd(out,a[0]+b[j]) for j in range(m)])
``` | output | 1 | 38,872 | 22 | 77,745 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2 ⋅ 10^5).
The seco... | instruction | 0 | 38,873 | 22 | 77,746 |
Tags: math, number theory
Correct Solution:
```
import sys
input = sys.stdin.readline
n,m=map(int,input().split())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
from math import gcd
GCD=0
for i in range(1,n):
GCD=gcd(A[i]-A[i-1],GCD)
ANS=[]
for j in range(m):
ANS.append(gcd(GCD,A[0]+B[j]... | output | 1 | 38,873 | 22 | 77,747 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2 ⋅ 10^5).
The seco... | instruction | 0 | 38,874 | 22 | 77,748 |
Tags: math, number theory
Correct Solution:
```
n,m = tuple(map(int,input().split()))
a = list(map(int,input().split()))
b = list(map(int,input().split()))
def gcd(a,b):
while b:
a,b = b,a%b
return a
temp = 0
for i in range(1,len(a)):
temp = gcd(temp,abs(a[i]-a[i-1]))
for i in range(len(b)):
... | output | 1 | 38,874 | 22 | 77,749 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2 ⋅ 10^5).
The seco... | instruction | 0 | 38,875 | 22 | 77,750 |
Tags: math, number theory
Correct Solution:
```
n,m = map(int,input().split())
a = [ int(x) for x in input().split() ]
b = [ int(x) for x in input().split() ]
output = []
def gcd(a,b):
if b == 0:
return a
else:
return gcd(b,a%b)
res = 0
for index in range(1,n):
res = gcd(abs(a[index]-a[0]),res)
for index in ... | output | 1 | 38,875 | 22 | 77,751 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2 ⋅ 10^5).
The seco... | instruction | 0 | 38,876 | 22 | 77,752 |
Tags: math, number theory
Correct Solution:
```
from math import gcd
n, m = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
for i in b:
ans = a[0]+i
if(len(a)>=2):
ans = gcd(a[0]+i,a[1]+i)
if(len(a)>2):
ans = gcd(ans, a[(len(a)-1)//4]+i)
... | output | 1 | 38,876 | 22 | 77,753 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two in... | instruction | 0 | 38,877 | 22 | 77,754 |
Yes | output | 1 | 38,877 | 22 | 77,755 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two in... | instruction | 0 | 38,878 | 22 | 77,756 |
Yes | output | 1 | 38,878 | 22 | 77,757 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two in... | instruction | 0 | 38,879 | 22 | 77,758 |
Yes | output | 1 | 38,879 | 22 | 77,759 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two in... | instruction | 0 | 38,880 | 22 | 77,760 |
Yes | output | 1 | 38,880 | 22 | 77,761 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two in... | instruction | 0 | 38,881 | 22 | 77,762 |
No | output | 1 | 38,881 | 22 | 77,763 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two in... | instruction | 0 | 38,882 | 22 | 77,764 |
No | output | 1 | 38,882 | 22 | 77,765 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two in... | instruction | 0 | 38,883 | 22 | 77,766 |
No | output | 1 | 38,883 | 22 | 77,767 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integer sequences a_1, …, a_n and b_1, …, b_m. For each j = 1, …, m find the greatest common divisor of a_1 + b_j, …, a_n + b_j.
Input
The first line contains two in... | instruction | 0 | 38,884 | 22 | 77,768 |
No | output | 1 | 38,884 | 22 | 77,769 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. Your task is to say if the hidden number is pri... | instruction | 0 | 39,151 | 22 | 78,302 |
Tags: constructive algorithms, interactive, math
Correct Solution:
```
import sys
from functools import lru_cache, cmp_to_key
from heapq import merge, heapify, heappop, heappush
from math import ceil, floor, gcd, fabs, factorial, fmod, sqrt, inf
from collections import defaultdict as dd, deque, Counter as C
from iterto... | output | 1 | 39,151 | 22 | 78,303 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. Your task is to say if the hidden number is pri... | instruction | 0 | 39,152 | 22 | 78,304 |
Tags: constructive algorithms, interactive, math
Correct Solution:
```
#------------------------template--------------------------#
import os
import sys
from math import *
from collections import *
# from fractions import *
# from heapq import*
from bisect import *
from io import BytesIO, IOBase
def vsInput():
sys.... | output | 1 | 39,152 | 22 | 78,305 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. Your task is to say if the hidden number is pri... | instruction | 0 | 39,153 | 22 | 78,306 |
Tags: constructive algorithms, interactive, math
Correct Solution:
```
from sys import stdout, stdin
PS = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]
# PSL50 = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47] ## len == 15
# PSU50 = [53, 59, 61, 67, 71, 73, 7... | output | 1 | 39,153 | 22 | 78,307 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. Your task is to say if the hidden number is pri... | instruction | 0 | 39,154 | 22 | 78,308 |
Tags: constructive algorithms, interactive, math
Correct Solution:
```
import sys
def is_prime(n, primes):
for p in primes:
if n % p == 0:
return False
else:
return True
def main():
primes = [2, 3, 5, 7]
for i in range(primes[-1] + 2, 49, 2):
if is_prime(i, primes... | output | 1 | 39,154 | 22 | 78,309 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. Your task is to say if the hidden number is pri... | instruction | 0 | 39,155 | 22 | 78,310 |
Tags: constructive algorithms, interactive, math
Correct Solution:
```
from sys import stdin, stdout
dividers = ['4', '9', '25', '49', '2', '3', '5', '7', '11', '13', '17', '19', '23', '29', '31', '37', '41', '43', '47']
cnt = 0
for v in dividers:
stdout.write(v + '\n')
stdout.flush()
if stdin.readline().rs... | output | 1 | 39,155 | 22 | 78,311 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. Your task is to say if the hidden number is pri... | instruction | 0 | 39,156 | 22 | 78,312 |
Tags: constructive algorithms, interactive, math
Correct Solution:
```
#------------------------template--------------------------#
import os
import sys
from math import *
from collections import *
# from fractions import *
# from heapq import*
from bisect import *
from io import BytesIO, IOBase
def vsInput():
sys.... | output | 1 | 39,156 | 22 | 78,313 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. Your task is to say if the hidden number is pri... | instruction | 0 | 39,157 | 22 | 78,314 |
Tags: constructive algorithms, interactive, math
Correct Solution:
```
"""
Author : thekushalghosh
Team : CodeDiggers
"""
import sys,math,cmath,time
start_time = time.time()
################# ---- USER DEFINED INPUT FUNCTIONS ---- #################
def inp():
return(int(input()))
def inlt():
return(li... | output | 1 | 39,157 | 22 | 78,315 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. Your task is to say if the hidden number is pri... | instruction | 0 | 39,158 | 22 | 78,316 |
Tags: constructive algorithms, interactive, math
Correct Solution:
```
# from __future__ import division, print_function
import sys
import os
from io import BytesIO, IOBase
# def inp(): return sys.stdin.readline().rstrip("\r\n") #for fast input
# n = int(os.read(0,100))
# if(n==1):
# os.write(1,b'! 1')
# ... | output | 1 | 39,158 | 22 | 78,317 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. ... | instruction | 0 | 39,159 | 22 | 78,318 |
Yes | output | 1 | 39,159 | 22 | 78,319 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. ... | instruction | 0 | 39,160 | 22 | 78,320 |
No | output | 1 | 39,160 | 22 | 78,321 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. ... | instruction | 0 | 39,161 | 22 | 78,322 |
No | output | 1 | 39,161 | 22 | 78,323 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. ... | instruction | 0 | 39,162 | 22 | 78,324 |
No | output | 1 | 39,162 | 22 | 78,325 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2, 100]. ... | instruction | 0 | 39,163 | 22 | 78,326 |
No | output | 1 | 39,163 | 22 | 78,327 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N.
Construct any one N-by-N matrix a that satisfies the conditions below. It can be proved that a solution always exists under the constraints of this problem.
* 1 \leq a_{i,j} \leq 10^{15}
* a_{i,j} are pairwise distinct i... | instruction | 0 | 39,447 | 22 | 78,894 |
"Correct Solution:
```
import sys
#sys.stdin=open("data.txt")
input=sys.stdin.readline
mii=lambda:map(int,input().split())
# get primes
lim=10000
sieve=[1]*lim
prime=[]
for i in range(2,lim):
if not sieve[i]: continue
prime.append(i)
for j in range(i*i,lim,i):
sieve[j]=0
prime.sort()
prime=[i for... | output | 1 | 39,447 | 22 | 78,895 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N.
Construct any one N-by-N matrix a that satisfies the conditions below. It can be proved that a solution always exists under the constraints of this problem.
* 1 \leq a_{i,j} \leq 10^{15}
* a_{i,j} are pairwise distinct i... | instruction | 0 | 39,449 | 22 | 78,898 |
"Correct Solution:
```
N = int(input())
if N == 2:
print(4, 7)
print(23, 10)
exit()
a= [[0] * N for _ in range(N)]
def sieve(n):
'''
:param n:
:return: n以下の素数のリストを返す
エラトステネスの篩→O(n log log n)
'''
prime = []
is_prime = [True] * (n + 1) #is_prime[i] = Trueならiは素数
is_prime[0] =... | output | 1 | 39,449 | 22 | 78,899 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N.
Construct any one N-by-N matrix a that satisfies the conditions below. It can be proved that a solution always exists under the constraints of this problem.
* 1 \leq a_{i,j} \leq 10^{15}
* a_{i,j} are pairwise distinct i... | instruction | 0 | 39,450 | 22 | 78,900 |
"Correct Solution:
```
from math import gcd
Primes = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, ... | output | 1 | 39,450 | 22 | 78,901 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N.
Construct any one N-by-N matrix a that satisfies the conditions below. It can be proved that a solution always exists under the constraints of this problem.
* 1 \leq a_{i,j} \leq 10^{15}
* a_{i,j} are pairwise distinct i... | instruction | 0 | 39,451 | 22 | 78,902 |
"Correct Solution:
```
#!/usr/bin/python3
import random, math, fractions
def lcm(a, b):
return (a // fractions.gcd(a, b)) * b
def is_prime(n):
i = 2
while i * i <= n:
if n % i == 0:
return False
i += 1
return True
def primes(n):
lst = []
for i in range(2, n + 1):
... | output | 1 | 39,451 | 22 | 78,903 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N.
Construct any one N-by-N matrix a that satisfies the conditions below. It can be proved that a solution always exists under the constraints of this problem.
* 1 \leq a_{i,j} \leq 10^{15}
* a_{i,j} are pairwise distinct i... | instruction | 0 | 39,452 | 22 | 78,904 |
"Correct Solution:
```
from fractions import gcd
from itertools import chain
def eratosthenes_generator():
yield 2
n = 3
h = {}
while True:
m = n
if n in h:
b = h[n]
m += 2 * b
while m in h:
m += 2 * b
h[m] = b
... | output | 1 | 39,452 | 22 | 78,905 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp knows that if the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3. He assumes that the numbers, the sum of the digits of which is divisible by 4, are also somewhat interesting. Thus, he cons... | instruction | 0 | 39,672 | 22 | 79,344 |
Tags: implementation
Correct Solution:
```
a = int(input())
def sum(n):
s = 0
while n > 0:
s += n % 10
n //= 10
return s
while (sum(a) % 4 != 0):
a += 1
print(a)
``` | output | 1 | 39,672 | 22 | 79,345 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp knows that if the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3. He assumes that the numbers, the sum of the digits of which is divisible by 4, are also somewhat interesting. Thus, he cons... | instruction | 0 | 39,674 | 22 | 79,348 |
Tags: implementation
Correct Solution:
```
a=int(input())
for i in range(a,10000000000000000) :
sum=0
for j in range (len(str(a))):
sum=sum+int(str(a)[j])
if sum%4==0 :
print(a)
break
else :
a=a+1
``` | output | 1 | 39,674 | 22 | 79,349 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp knows that if the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3. He assumes that the numbers, the sum of the digits of which is divisible by 4, are also somewhat interesting. Thus, he cons... | instruction | 0 | 39,675 | 22 | 79,350 |
Tags: implementation
Correct Solution:
```
'''test, p = map(int, input().split())
for _ in range(test):
l, r = map(int, input().split())
ans = 0
if r%2 == 1:
ans += (pow(3, r//2+1, p)-1)//2
else:
ans += (pow(3, r//2, p)-1)//2
ans -= (pow(3, l//2, p)-1)//2
'''
a = int(input())
whi... | output | 1 | 39,675 | 22 | 79,351 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp knows that if the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3. He assumes that the numbers, the sum of the digits of which is divisible by 4, are also somewhat interesting. Thus, he cons... | instruction | 0 | 39,677 | 22 | 79,354 |
Tags: implementation
Correct Solution:
```
a=int(input())
ma=a
for i in range(a,a+1000):
x=list(str(i))
x=list(map(int,x))
if sum(x)%4==0:
ma=i
break
print(ma)
``` | output | 1 | 39,677 | 22 | 79,355 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp knows that if the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3. He assumes that the numbers, the sum of the digits of which is divisible by 4, are also somewhat interesting. Thus, he cons... | instruction | 0 | 39,678 | 22 | 79,356 |
Tags: implementation
Correct Solution:
```
def sum_of_digits(n):
sum = 0
while n > 0:
sum += n % 10
n //= 10
return sum
n = int(input())
while sum_of_digits(n) % 4 != 0 :
n += 1
print(n)
``` | output | 1 | 39,678 | 22 | 79,357 |
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