#include<bits/stdc++.h>
using namespace std;
int main()
{
    int a,b,c;
    cin>>a>>b;
    c=a*pow(10,(int)log10(b)+1)+b;
    for(int i=1;i<=c;i++)
    if(i*i==c) {cout<<"Yes";return 0;}
    cout<<"No";
    return 0;
}
### Prompt

In CPP, your task is to solve the following problem:

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()
{
    int a,b,c;
    cin>>a>>b;
    c=a*pow(10,(int)log10(b)+1)+b;
    for(int i=1;i<=c;i++)
    if(i*i==c) {cout<<"Yes";return 0;}
    cout<<"No";
    return 0;
}
```