#include<bits/stdc++.h>
using namespace std;
int main()
{
	int a,b;
	cin>>a>>b;
	int c=b;
	if(c%10==0)c++;
	while(c>0)
	{
		c/=10;
		a*=10;
	}
	a+=b;
	int d=sqrt(a);
	if(d*d==a)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()
{
	int a,b;
	cin>>a>>b;
	int c=b;
	if(c%10==0)c++;
	while(c>0)
	{
		c/=10;
		a*=10;
	}
	a+=b;
	int d=sqrt(a);
	if(d*d==a)cout<<"Yes";
	else cout<<"No";
	return 0;
} 
```