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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<bits/stdc++.h>
#define ALL(c) (c).begin(),(c).end()
#define EACH(i,c) for(auto i=(c).begin();i!=(c).end();++i)
using namespace std;
#define int long long

signed main(){
	int N, K;
	cin >> N >> K;
	int res = 0;
	for(int a = 1; a <= N; ++a) {
		int rev = (K - a % K) % K;
		if (rev != a % K) {
			continue;
		}
		int t = N / K;
		if (rev != 0 && N - N / K * K >= rev) {
			t++;
		}
		// cout << a << " " << rev << " " << t << " " << t * t << endl;
		res += t * t;
	}
	cout << res << endl;

	return 0;
}