A8583. System of Equations

Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?

You are given a system of equations:

You should count, how many there are pairs of integers $(a,b)$ $(0<=a,b)$ which satisfy the system.

A single line contains two integers $n,m$ $(1<=n,m<=1000)$ — the parameters of the system. The numbers on the line are separated by a space.

On a single line print the answer to the problem.

In the first sample the suitable pair is integers $(3,0)$ . In the second sample the suitable pair is integers $(3,5)$ . In the third sample there is no suitable pair.