#include<bits/stdc++.h>
using namespace std;
int main()
{int a,b;
 cin>>a>>b;
 int x=1,t=b;
 while(t>0)
   {x*=10;
    t/=10;
   }
 t=sqrt(a*x+b); 
 if(t*t==a*x+b)
    cout<<"Yes"<<endl;
 else
    cout<<"No"<<endl;
}
### Prompt

Please provide a CPP coded solution 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()
{int a,b;
 cin>>a>>b;
 int x=1,t=b;
 while(t>0)
   {x*=10;
    t/=10;
   }
 t=sqrt(a*x+b); 
 if(t*t==a*x+b)
    cout<<"Yes"<<endl;
 else
    cout<<"No"<<endl;
}
```