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 arrange the numbers between 1 and N (1 <= N <= 10000) in increasing order and decreasing order like this:
1 2 3 4 5 6 7 8 9 . . . N
N . . . 9 8 7 6 5 4 3 2 1
Two numbers faced each other ... | instruction | 0 | 68,071 | 22 | 136,142 |
No | output | 1 | 68,071 | 22 | 136,143 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We arrange the numbers between 1 and N (1 <= N <= 10000) in increasing order and decreasing order like this:
1 2 3 4 5 6 7 8 9 . . . N
N . . . 9 8 7 6 5 4 3 2 1
Two numbers faced each other ... | instruction | 0 | 68,072 | 22 | 136,144 |
No | output | 1 | 68,072 | 22 | 136,145 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another without changing the order. For example, a concat... | instruction | 0 | 68,143 | 22 | 136,286 |
Tags: implementation, math
Correct Solution:
```
import sys
input = sys.stdin.readline
from collections import Counter
n,k=map(int,input().split())
A=list(map(int,input().split()))
D=[Counter() for i in range(11)]
for a in A:
for j in range(1,11):
D[j][a*(10**j)%k]+=1
ANS=0
for a in A:
L=len(str(a))
... | output | 1 | 68,143 | 22 | 136,287 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another without changing the order. For example, a concat... | instruction | 0 | 68,144 | 22 | 136,288 |
Tags: implementation, math
Correct Solution:
```
try:
while True:
n, k = list(map(int, input().split()))
arr = list(map(int, input().split()))
dic = {}
for idx in range(n):
l = len(str(arr[idx]))
r = arr[idx] % k
dic[(l, r)] = dic.get((l, r), 0) + ... | output | 1 | 68,144 | 22 | 136,289 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another without changing the order. For example, a concat... | instruction | 0 | 68,145 | 22 | 136,290 |
Tags: implementation, math
Correct Solution:
```
n, k = map(int, input().split())
v = list(map(int, input().split()))
d = {}
ans = 0
for x in v:
num_d, mod_k = len(str(x)), x % k
d.setdefault(num_d, {}).setdefault(mod_k, []).append(x)
for x in v:
num_d, mod_k = len(str(x)), x % k
for add, mods in d.items(... | output | 1 | 68,145 | 22 | 136,291 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another without changing the order. For example, a concat... | instruction | 0 | 68,146 | 22 | 136,292 |
Tags: implementation, math
Correct Solution:
```
# by the authority of GOD author: manhar singh sachdev #
import os,sys
from io import BytesIO,IOBase
from collections import Counter
def main():
n,k = map(int,input().split())
a = input().split()
a1 = list(map(int,a))
dct = [Counter() for _ in range... | output | 1 | 68,146 | 22 | 136,293 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another without changing the order. For example, a concat... | instruction | 0 | 68,147 | 22 | 136,294 |
Tags: implementation, math
Correct Solution:
```
import sys
from collections import Counter as cc
input = sys.stdin.readline
I = lambda : list(map(int,input().split()))
n,k=I()
l=I()
ar=[i%k for i in l]
ans=[]
dv=cc(ar)
for i in range(1,12):
x=[(j*(10**i))%k for j in l]
ans.append(cc(x))
dv=cc(ar)
an=0
if k==2:
an=... | output | 1 | 68,147 | 22 | 136,295 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another without changing the order. For example, a concat... | instruction | 0 | 68,148 | 22 | 136,296 |
Tags: implementation, math
Correct Solution:
```
def main():
n, k = map(int, input().split())
aa, cnt, res = [], {}, 0
scale = [10 ** i + 1 for i in range(11)]
for w in input().split():
a, s = int(w), len(w)
aa.append(a)
if not a * scale[s] % k:
res -= 1
t = (... | output | 1 | 68,148 | 22 | 136,297 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another without changing the order. For example, a concat... | instruction | 0 | 68,149 | 22 | 136,298 |
Tags: implementation, math
Correct Solution:
```
from collections import Counter
c=[Counter() for i in range(11)]
n, k = map(int, input().split())
a = list(map(int, input().split()))
b = [[] for i in range(11)]
for j in range(n):
b[len(str(a[j]))].append(a[j])
for i in range(1, 11):
r=(a[j] * (10 ** i... | output | 1 | 68,149 | 22 | 136,299 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another without changing the order. For example, a concat... | instruction | 0 | 68,150 | 22 | 136,300 |
Tags: implementation, math
Correct Solution:
```
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = {}
for i in range(n):
l = len(str(a[i]))
y = a[i] % k
d[(l, y)] = d.get((l, y), 0) + 1
res = 0
for i in range(n):
for j in range(1, 11):
cur = a[i] * int(pow(10, j))
... | output | 1 | 68,150 | 22 | 136,301 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another wi... | instruction | 0 | 68,152 | 22 | 136,304 |
Yes | output | 1 | 68,152 | 22 | 136,305 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another wi... | instruction | 0 | 68,153 | 22 | 136,306 |
Yes | output | 1 | 68,153 | 22 | 136,307 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another wi... | instruction | 0 | 68,154 | 22 | 136,308 |
Yes | output | 1 | 68,154 | 22 | 136,309 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another wi... | instruction | 0 | 68,155 | 22 | 136,310 |
Yes | output | 1 | 68,155 | 22 | 136,311 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another wi... | instruction | 0 | 68,156 | 22 | 136,312 |
No | output | 1 | 68,156 | 22 | 136,313 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another wi... | instruction | 0 | 68,157 | 22 | 136,314 |
No | output | 1 | 68,157 | 22 | 136,315 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another wi... | instruction | 0 | 68,158 | 22 | 136,316 |
No | output | 1 | 68,158 | 22 | 136,317 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a, consisting of n positive integers.
Let's call a concatenation of numbers x and y the number that is obtained by writing down numbers x and y one right after another wi... | instruction | 0 | 68,159 | 22 | 136,318 |
No | output | 1 | 68,159 | 22 | 136,319 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test cases.
Input
The first line of the input cont... | instruction | 0 | 68,278 | 22 | 136,556 |
Tags: math
Correct Solution:
```
N = int(input())
for i in range(N):
n, k = map(int, input().split())
if k&1 != n&1 or k**2 > n:
print('NO')
else:
print('YES')
``` | output | 1 | 68,278 | 22 | 136,557 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test cases.
Input
The first line of the input cont... | instruction | 0 | 68,279 | 22 | 136,558 |
Tags: math
Correct Solution:
```
for i in range(int(input())):
n,k = map(int,input().split())
if k*k > n or n%2 != k%2:
print("NO")
else:
print("YES")
``` | output | 1 | 68,279 | 22 | 136,559 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test cases.
Input
The first line of the input cont... | instruction | 0 | 68,280 | 22 | 136,560 |
Tags: math
Correct Solution:
```
for x in range(int(input())):
n,k = map(int, input().split())
print('YES'if k*k <= n and n%2 == k%2 else 'NO')
``` | output | 1 | 68,280 | 22 | 136,561 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test cases.
Input
The first line of the input cont... | instruction | 0 | 68,281 | 22 | 136,562 |
Tags: math
Correct Solution:
```
t=int(input())
for i in range(t):
n,k=map(int, input().split())
if n%2==0:
if k!=1 and k%2==0 and n>=k**2:
print('YES')
else :
print('NO')
else:
if k%2>0 and n>=k**2:
print('YES')
else:
print('NO')
``` | output | 1 | 68,281 | 22 | 136,563 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test cases.
Input
The first line of the input cont... | instruction | 0 | 68,282 | 22 | 136,564 |
Tags: math
Correct Solution:
```
t=int(input())
for i in range(t):
n,k=map(int,input().split())
result="YES"
if (n%2==0 and k%2==0) or (n%2!=0 and k%2!=0):
if k**2>n:
result="NO"
else:
result="NO"
print(result)
``` | output | 1 | 68,282 | 22 | 136,565 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test cases.
Input
The first line of the input cont... | instruction | 0 | 68,283 | 22 | 136,566 |
Tags: math
Correct Solution:
```
for i in range(int(input())):
n,k=map(int,input().split())
value=n - (k-1)**2
p=2*k-1
if(value>=p and value%2==1):
print("YES")
else:
print("NO")
``` | output | 1 | 68,283 | 22 | 136,567 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test cases.
Input
The first line of the input cont... | instruction | 0 | 68,284 | 22 | 136,568 |
Tags: math
Correct Solution:
```
t=int(input())
for i in range(0,t):
n,k=map(int,input().split())
s=k*k
if n%2==0 and k%2==0 and s<=n: #even case
print('Yes')
elif n%2!=0 and k%2!=0 and n>=s: #odd case
print('Yes')
else:
print('No')
``` | output | 1 | 68,284 | 22 | 136,569 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test cases.
Input
The first line of the input cont... | instruction | 0 | 68,285 | 22 | 136,570 |
Tags: math
Correct Solution:
```
t = int(input())
c = 0
for i in range(t):
a,b = input().split()
a = int(a)
b = int(b)
#c = a+b
if ((a%2)==(b%2))and(b**2<=a):
print("YES")
else:
print("NO")
``` | output | 1 | 68,285 | 22 | 136,571 |
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 n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test ... | instruction | 0 | 68,286 | 22 | 136,572 |
Yes | output | 1 | 68,286 | 22 | 136,573 |
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 n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test ... | instruction | 0 | 68,287 | 22 | 136,574 |
Yes | output | 1 | 68,287 | 22 | 136,575 |
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 n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test ... | instruction | 0 | 68,288 | 22 | 136,576 |
Yes | output | 1 | 68,288 | 22 | 136,577 |
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 n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test ... | instruction | 0 | 68,289 | 22 | 136,578 |
Yes | output | 1 | 68,289 | 22 | 136,579 |
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 n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test ... | instruction | 0 | 68,290 | 22 | 136,580 |
No | output | 1 | 68,290 | 22 | 136,581 |
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 n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test ... | instruction | 0 | 68,291 | 22 | 136,582 |
No | output | 1 | 68,291 | 22 | 136,583 |
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 n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test ... | instruction | 0 | 68,292 | 22 | 136,584 |
No | output | 1 | 68,292 | 22 | 136,585 |
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 n and k. Your task is to find if n can be represented as a sum of k distinct positive odd (not divisible by 2) integers or not.
You have to answer t independent test ... | instruction | 0 | 68,293 | 22 | 136,586 |
No | output | 1 | 68,293 | 22 | 136,587 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider a linear function f(x) = Ax + B. Let's define g(0)(x) = x and g(n)(x) = f(g(n - 1)(x)) for n > 0. For the given integer values A, B, n and x find the value of g(n)(x) modulo 109 + 7.
Input
The only line contains four integers A, B... | instruction | 0 | 68,575 | 22 | 137,150 |
Tags: math, number theory
Correct Solution:
```
# from dust i have come, dust i will be
mod=int(1e9)+7
A,B,n,x=map(int,input().split())
'''
if we expand the given formula for some test cases
e.g-> for n=2,3,4.. we get
A^n*x + B(A^0+A^1+...+A^{n-1})
for the geometric progression, 1+r+r^2+...+r^{n-1}
the ans=(r^n-1)/... | output | 1 | 68,575 | 22 | 137,151 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider a linear function f(x) = Ax + B. Let's define g(0)(x) = x and g(n)(x) = f(g(n - 1)(x)) for n > 0. For the given integer values A, B, n and x find the value of g(n)(x) modulo 109 + 7.
Input
The only line contains four integers A, B... | instruction | 0 | 68,576 | 22 | 137,152 |
Tags: math, number theory
Correct Solution:
```
MOD=10**9+7
a,b,n,x=map(int,input().split())
t=pow(a,n,MOD*max(1,a-1))
print((t*x+b*(t-1)//(a-1))%MOD if a-1else(x+n*b)%MOD)
``` | output | 1 | 68,576 | 22 | 137,153 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider a linear function f(x) = Ax + B. Let's define g(0)(x) = x and g(n)(x) = f(g(n - 1)(x)) for n > 0. For the given integer values A, B, n and x find the value of g(n)(x) modulo 109 + 7.
Input
The only line contains four integers A, B... | instruction | 0 | 68,577 | 22 | 137,154 |
Tags: math, number theory
Correct Solution:
```
def mod_exp(x, y, p):
res = 1
x %= p
while y:
if y&1:
res = (res * x) % p
y >>= 1
x = (x * x) % p
return res
def power(a, b, m):
x, y = 1, a
while b:
if b&1:
x = (x * y) % m
y = (y *... | output | 1 | 68,577 | 22 | 137,155 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider a linear function f(x) = Ax + B. Let's define g(0)(x) = x and g(n)(x) = f(g(n - 1)(x)) for n > 0. For the given integer values A, B, n and x find the value of g(n)(x) modulo 109 + 7.
Input
The only line contains four integers A, B... | instruction | 0 | 68,578 | 22 | 137,156 |
Tags: math, number theory
Correct Solution:
```
import math
def modInverse(b,m):
g = math.gcd(b, m)
if (g != 1):
return -1
else:
return pow(b, m - 2, m)
def modDivide(a,b,m):
a = a % m
inv = modInverse(b,m)
return (inv*a)%m
mod=int(10e8+7)
a,b,n,x=map(int,input()... | output | 1 | 68,578 | 22 | 137,157 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider a linear function f(x) = Ax + B. Let's define g(0)(x) = x and g(n)(x) = f(g(n - 1)(x)) for n > 0. For the given integer values A, B, n and x find the value of g(n)(x) modulo 109 + 7.
Input
The only line contains four integers A, B... | instruction | 0 | 68,579 | 22 | 137,158 |
Tags: math, number theory
Correct Solution:
```
a,b,n,x = (map(int,input().split(' ')))
mod = 10**9+7
if(a==1):
ans = x + n*b
print(ans%mod)
else:
ans = (pow(a,n,mod)*x)%mod
t = pow(a,n,mod)
t = (t-1+mod)%mod
t = (t * pow(a-1,mod-2,mod))%mod
t = (t*b)%mod
print((ans+t)%mod)
``` | output | 1 | 68,579 | 22 | 137,159 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider a linear function f(x) = Ax + B. Let's define g(0)(x) = x and g(n)(x) = f(g(n - 1)(x)) for n > 0. For the given integer values A, B, n and x find the value of g(n)(x) modulo 109 + 7.
Input
The only line contains four integers A, B... | instruction | 0 | 68,580 | 22 | 137,160 |
Tags: math, number theory
Correct Solution:
```
a,b,n,x=map(int,input().split())
m=10**9+7
if a != 1:
print( (pow(a,n,m)*x + b*(pow(a,n,m)-1) * pow(a-1,m-2,m))%m )
else:
print((b*n+x)%m)
``` | output | 1 | 68,580 | 22 | 137,161 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider a linear function f(x) = Ax + B. Let's define g(0)(x) = x and g(n)(x) = f(g(n - 1)(x)) for n > 0. For the given integer values A, B, n and x find the value of g(n)(x) modulo 109 + 7.
Input
The only line contains four integers A, B... | instruction | 0 | 68,581 | 22 | 137,162 |
Tags: math, number theory
Correct Solution:
```
import sys,math
def power(x, y, p):
res = 1;
x = x % p;
while (y > 0):
if (y & 1):
res = (res * x) % p;
y = y >> 1;
x = (x * x) % p;
return res;
def modInverse(b,m):
g = math.gcd(b, m)
if (g != 1):
re... | output | 1 | 68,581 | 22 | 137,163 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki are going to together construct a sequence of integers.
First, Takahashi will provide a sequence of integers a, satisfying all of the following conditions:
* The length of a is N.
* Each element in a is an integer between 1 and K... | instruction | 0 | 68,814 | 22 | 137,628 |
"Correct Solution:
```
def prime_factor(n):
i = 2
factors = []
while i * i <= n:
if n % i:
i += 1
else:
while n % i == 0:
n //= i
factors.append(i)
if n > 1:
factors.append(n)
return factors
def divisors(n):
divisors =... | output | 1 | 68,814 | 22 | 137,629 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki are going to together construct a sequence of integers.
First, Takahashi will provide a sequence of integers a, satisfying all of the following conditions:
* The length of a is N.
* Each element in a is an integer between 1 and K... | instruction | 0 | 68,815 | 22 | 137,630 |
"Correct Solution:
```
import sys
def MI(): return map(int,sys.stdin.readline().rstrip().split())
N,K = MI()
mod = 10**9+7
def divisor(n): # nの約数のリスト
res = []
for i in range(1,int(n**.5)+1):
if n % i == 0:
res.append(i)
if i != n//i:
res.append(n//i)
return... | output | 1 | 68,815 | 22 | 137,631 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki are going to together construct a sequence of integers.
First, Takahashi will provide a sequence of integers a, satisfying all of the following conditions:
* The length of a is N.
* Each element in a is an integer between 1 and K... | instruction | 0 | 68,816 | 22 | 137,632 |
"Correct Solution:
```
from math import gcd
def divisors(M):#Mの約数列 O(n^(0.5+e))
d=[]
i=1
while M>=i**2:
if M%i==0:
d.append(i)
if i**2!=M:
d.append(M//i)
i=i+1
d.sort()
return d
mod=10**9+7
N,K=map(int,input().split())
div=divisors(N)
res=[0... | output | 1 | 68,816 | 22 | 137,633 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array of n integers. You need to split all integers into two groups so that the GCD of all integers in the first group is equal to one and the GCD of all integers in the second group is equal to one.
The GCD of a group of i... | instruction | 0 | 69,014 | 22 | 138,028 |
Tags: greedy, number theory, probabilities
Correct Solution:
```
import sys
def gcd(l):
if len(l)==0:
return 0
if len(l)==1:
return l[0]
if len(l)==2:
if l[1]==0:
return l[0]
return gcd([l[1],l[0]%l[1]])
return gcd([gcd(l[:-1]),l[-1]])
def brute_force(l1,l2,l,sol)... | output | 1 | 69,014 | 22 | 138,029 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array of n integers. You need to split all integers into two groups so that the GCD of all integers in the first group is equal to one and the GCD of all integers in the second ... | instruction | 0 | 69,015 | 22 | 138,030 |
No | output | 1 | 69,015 | 22 | 138,031 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array of n integers. You need to split all integers into two groups so that the GCD of all integers in the first group is equal to one and the GCD of all integers in the second ... | instruction | 0 | 69,016 | 22 | 138,032 |
No | output | 1 | 69,016 | 22 | 138,033 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array of n integers. You need to split all integers into two groups so that the GCD of all integers in the first group is equal to one and the GCD of all integers in the second ... | instruction | 0 | 69,017 | 22 | 138,034 |
No | output | 1 | 69,017 | 22 | 138,035 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array of n integers. You need to split all integers into two groups so that the GCD of all integers in the first group is equal to one and the GCD of all integers in the second ... | instruction | 0 | 69,018 | 22 | 138,036 |
No | output | 1 | 69,018 | 22 | 138,037 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (divisible by 2);
* the second n/2 elements of... | instruction | 0 | 69,087 | 22 | 138,174 |
Tags: constructive algorithms, math
Correct Solution:
```
for _ in [0]*int(input()):
n = int(input())
if (n//2)%2 == 1:print("NO");continue
print("YES")
l_arr = [x for x in range(2,n+1,2)]
r_arr = [x for x in range(1,n,2)]
r_arr[-1] += sum(l_arr) - sum(r_arr)
print(*l_arr,*r_arr)
``` | output | 1 | 69,087 | 22 | 138,175 |
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