Problem Statement

Given are integers $N$ and $K$. How many quadruples of integers $(a,b,c,d)$ satisfy both of the following conditions?

• $1\le a,b,c,d\le N$
• $a+b-c-d=K$

Constraints

• 1≤N≤105
• $-2(N-1)\le K\le 2(N-1)$
• All numbers in input are integers.

Sample Input 1

2 1

Sample Output 1

4

Four quadruples below satisfy the conditions:

• $(a,b,c,d)=(2,1,1,1)$
• $(a,b,c,d)=(1,2,1,1)$
• $(a,b,c,d)=(2,2,2,1)$
• $(a,b,c,d)=(2,2,1,2)$

Sample Input 2

2525 -425

Sample Output 2

10314607400