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 Ruby (2.3.3) (judge verdict: Time Limit Exceeded)

n, k = gets.chomp.split(" ").map(&:to_i)
answer = 0
k.step(2 * n, k) do |aa|
    next if aa % 2 != 0
    a = aa / 2
    k.step(2 * n, k) do |bb|
        next if bb % 2 != 0
        b = bb / 2
        if (a + b) % k == 0
            k.step(2 * n, k) do |cc|
                next if cc % 2 != 0
                c = cc / 2
                if (b + c) % k + (a + c) % k == 0
                    answer += 1
                end
            end
        end
    end
end
puts answer