#include <iostream>
#include <vector>
#include <algorithm>
#include <math.h>
#include <string>
using namespace std;

int main(){
string a,b;cin>>a>>b;
double c=stoi(a+b);
if(sqrt(c)==int(sqrt(c)))cout<<"Yes";
else cout<<"No";

}

### 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 <iostream>
#include <vector>
#include <algorithm>
#include <math.h>
#include <string>
using namespace std;

int main(){
string a,b;cin>>a>>b;
double c=stoi(a+b);
if(sqrt(c)==int(sqrt(c)))cout<<"Yes";
else cout<<"No";

}

```