System of Equations

2000ms

262144K

Description:

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:

$\text{[math]}$

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

Input:

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.

Output:

On a single line print the answer to the problem.

Sample Input:

9 3

Sample Output:

Sample Input:

14 28

Sample Output:

Sample Input:

4 20

Sample Output:

Note:

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.

Informação

Provedor Codeforces

Código CF214A