P16810 [AtCoder] 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.
普及-
题目描述

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-----
3 2

-----Sample Output-----
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.

输入格式

见题面

输出格式

见题面

样例输入
3 2
样例输出
9