#include<bits/stdc++.h>
using namespace std;
int main(){
int a,b;
cin >>a>>b;
string num = to_string(a)+to_string(b);
int c = stoi(num);
int p = sqrt(c);
if(pow(p,2.0)==c){
cout<<"Yes"<<endl;
}else
cout<<"No"<<endl;
}
### Prompt

Create a solution in cpp for 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;
cin >>a>>b;
string num = to_string(a)+to_string(b);
int c = stoi(num);
int p = sqrt(c);
if(pow(p,2.0)==c){
cout<<"Yes"<<endl;
}else
cout<<"No"<<endl;
}
```