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: Accepted)

from scipy.special import comb

n, k = map(int, input().split())
cnt1 = 0
cnt2 = 0

if k%2 == 1:
    for i in range(1, n+1):
        if i%k == 0:
            cnt1 += 1
    print(cnt1**3)
else :
    for i in range(1, n+1):
        if i%k == 0:
            cnt1 += 1
        elif i%k == k//2:
            cnt2 += 1
    print(cnt1**3+cnt2**3)