#include <iostream>
using namespace std;
int main (){
string s,t;
cin >>s>>t;
int x = stoi(s+t);
for(int i=1;i <=1000;i++){
if(i*i == x){
cout<<"Yes"<<endl;
return  0;
}
}
cout<<"No"<<endl;
}
        
### Prompt

Construct a CPP code solution to the problem outlined:

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 <iostream>
using namespace std;
int main (){
string s,t;
cin >>s>>t;
int x = stoi(s+t);
for(int i=1;i <=1000;i++){
if(i*i == x){
cout<<"Yes"<<endl;
return  0;
}
}
cout<<"No"<<endl;
}
        
```