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

Generate 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 a,b,c,d,x=10;
int main() {
	cin>>a>>b;
    while(b/x!=0)x*=10;
    c=b+x*a;
	d=sqrt(c);
	if(d*d==c)cout<<"Yes";
	else cout<<"No";
	return 0;
}
```