#include<bits/stdc++.h>
#define REP(i,n) for(int i=0;i<n;i++)
using namespace std;
int main(){
    string a,b;cin>>a>>b;
    int M = stoi(a+b);
    int P = (int)sqrt((double)M);
    cout<<(P*P==M?"Yes":"No")<<endl;
}
### 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>
#define REP(i,n) for(int i=0;i<n;i++)
using namespace std;
int main(){
    string a,b;cin>>a>>b;
    int M = stoi(a+b);
    int P = (int)sqrt((double)M);
    cout<<(P*P==M?"Yes":"No")<<endl;
}
```