CF214A.System of Equations

普及/提高-

通过率:0%

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题目描述

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)(a,b) (0<=a,b)(0<=a,b) which satisfy the system.

输入格式

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

输出格式

On a single line print the answer to the problem.

输入输出样例

  • 输入#1

    9 3
    

    输出#1

    1
    
  • 输入#2

    14 28
    

    输出#2

    1
    
  • 输入#3

    4 20
    

    输出#3

    0
    

说明/提示

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

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