<cf>System of Equations(水题)

最新推荐文章于 2022-02-19 01:17:39 发布

原创最新推荐文章于 2022-02-19 01:17:39 发布 · 662 阅读

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文章标签：

#system #output #input #parameters #math #pair

本文介绍了一个关于寻找整数解的方程组问题，通过给定的参数n和m，利用编程方法找到满足条件的整数对(a, b)，并对样例进行了说明。

System of Equations

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

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 test(s)

input
9 3

output
1

input
14 28

output
1

input
4 20

output
0

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.

#include <stdio.h>
int main()
{
    int n,m;
    int cnt;
    while(scanf("%d%d",&n,&m)!=EOF)
   {
        cnt=0;
        for(int i=0;i*i<=n;i++)
        {
            double j=n-i*i;
            if((int)j==j && j*j+i==m)
                cnt++;
        }
        printf("%d\n",cnt);
   }
   return 0;
}