#include<bits/stdc++.h>
using namespace std;
int main(void){
   string s1,s2;
   cin>>s1>>s2;
   s1+=s2;
   int a=stoi(s1);
    float f=sqrt(a);
    int b=(int) f;
    if(b==f) cout<<"Yes";
    else cout<<"No";
}
### Prompt

Your challenge is to write a CPP solution to 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(void){
   string s1,s2;
   cin>>s1>>s2;
   s1+=s2;
   int a=stoi(s1);
    float f=sqrt(a);
    int b=(int) f;
    if(b==f) cout<<"Yes";
    else cout<<"No";
}
```