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: Wrong Answer)

#include<bits/stdc++.h>
#define rep(i, a, b) for(int i=(a) ; i<=(b) ; ++i)
#define Task ""
using namespace std;
int n, k;

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    //freopen(Task".inp", "r", stdin);
    //freopen(Task".out", "w", stdout);
    cin >> n >> k;
    int num=(n/k);
    int xx=0;
    if(k%2==0) {
        xx=(n-k/2)/k;
        ++xx;
    }
    long long ans=1ll*num*num*num+1ll*xx*xx*xx;
    cout << ans;
    return 0;
}