Problem:
Score : 300 points

Problem Statement

You are given integers N and K. Find the number of triples (a,b,c) of positive integers not greater than N such that a+b,b+c and c+a are all multiples of K.
The order of a,b,c does matter, and some of them can be the same.

Constraints

1 \leq N,K \leq 2\times 10^5

N and K are integers.

Input

Input is given from Standard Input in the following format:

N K

Output

Print the number of triples (a,b,c) of positive integers not greater than N such that a+b,b+c and c+a are all multiples of K.

Sample Input 1

3 2

Sample Output 1

9

(1,1,1),(1,1,3),(1,3,1),(1,3,3),(2,2,2),(3,1,1),(3,1,3),(3,3,1) and (3,3,3) satisfy the condition.

Sample Input 2

5 3

Sample Output 2

1

Sample Input 3

31415 9265

Sample Output 3

27

Sample Input 4

35897 932

Sample Output 4

114191

Solution in Python (3.8.2) (judge verdict: Wrong Answer)

N, K = map(int, input().split())

from collections import Counter
res = [x%K for x in range(1, N+1)]
res_sort = sorted(zip(Counter(res).keys(), Counter(res).values()))

if K%2==0:
    ans = res_sort[0][1]**3
    if K//2 < N:
        ans += res_sort[K//2][1]**3
else:
    if N < K:
        ans = 0
    else:
        ans = res_sort[0][1]**3

print(ans)