#include<bits/stdc++.h>
#define ll long long int

using namespace std;

int main()
{
	int a,b;
	cin>>a>>b;
	int db=log10(b)+1;
	int n=a*pow(10,db)+b;
	
	int s=sqrt(n);
	if(s*s==n)cout<<"Yes\n";
	else cout<<"No\n";
	
}

### 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<bits/stdc++.h>
#define ll long long int

using namespace std;

int main()
{
	int a,b;
	cin>>a>>b;
	int db=log10(b)+1;
	int n=a*pow(10,db)+b;
	
	int s=sqrt(n);
	if(s*s==n)cout<<"Yes\n";
	else cout<<"No\n";
	
}

```