#include <bits/stdc++.h>
using namespace std;
int main(){
	string s,t;
		cin >> s >> t;
		s+=t;
	int n=stoi(s);
	int z=sqrt(n);
		if(z*z==n)
			printf("Yes\n");
		else printf("No\n");
}
### 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 main(){
	string s,t;
		cin >> s >> t;
		s+=t;
	int n=stoi(s);
	int z=sqrt(n);
		if(z*z==n)
			printf("Yes\n");
		else printf("No\n");
}
```