#include<bits/stdc++.h>
using namespace std;
int main()
{
    string a,b;
    cin>>a>>b;
    stringstream c(a+b);
    int n=0;
    c>>n;
    int n1=sqrt(n);
    if(n1*n1==n) cout<<"Yes\n";
    else cout<<"No\n";
    return 0;
}

### Prompt

Develop a solution in CPP to the problem described below:

AtCoDeer the deer has found two positive integers, a and b. Determine whether the concatenation of a and b in this order is a square number.

Constraints

* 1 ≤ a,b ≤ 100
* a and b are integers.

Input

Input is given from Standard Input in the following format:


a b


Output

If the concatenation of a and b in this order is a square number, print `Yes`; otherwise, print `No`.

Examples

Input

1 21


Output

Yes


Input

100 100


Output

No


Input

12 10


Output

No

### Response

```cpp
#include<bits/stdc++.h>
using namespace std;
int main()
{
    string a,b;
    cin>>a>>b;
    stringstream c(a+b);
    int n=0;
    c>>n;
    int n1=sqrt(n);
    if(n1*n1==n) cout<<"Yes\n";
    else cout<<"No\n";
    return 0;
}

```