#include<bits/stdc++.h>
using namespace std;

int main()
{
string a,b;
cin>>a>>b;
 a=a+b;

int in=stoi(a);

if(  floor(sqrt(in))==ceil(sqrt(in)) )
    cout<<"Yes";
else
    cout<<"No"; 

return 0;
}

### Prompt

Please formulate 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()
{
string a,b;
cin>>a>>b;
 a=a+b;

int in=stoi(a);

if(  floor(sqrt(in))==ceil(sqrt(in)) )
    cout<<"Yes";
else
    cout<<"No"; 

return 0;
}

```