Plot Planning

You are given four variables \(a, b, c, d \in \mathbb{N}^*\) (i.e., positive integers) that must satisfy the following conditions:

• \(a \neq x\) and \(b \neq x\).
• \(a > c\) and \(b > d\).
• \(a \cdot b - c \cdot d = n\).

For given integers \(x\) and \(n\), count the number of quadruples \((a, b, c, d)\) that satisfy these conditions.

inputFormat

The input consists of a single line containing two space-separated integers \(x\) and \(n\).

outputFormat

Output a single integer representing the number of valid quadruples \((a, b, c, d)\).

sample

1 1

0