Problem Statement

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

• $1 \leq a,b,c,d \leq N$
• $a+b-c-d=K$

Constraints

• $1 \leq N \leq 10^5$
• $-2(N-1) \leq K \leq 2(N-1)$
• All numbers in input are integers.

Input

Input is given from standard input in the following format:

N K

Output

Print the answer.