#include <iostream>
#include <cmath>
using namespace std;
int a, b, t;
int main() {
	cin>>a>>b;
	t = b;
	while(t) a*=10, t/=10;
	a += b;
	t = sqrt(a);
	cout<<(t*t==a ? "Yes":"No");
	return 0;
}
### Prompt

Please create a solution in Cpp 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 <iostream>
#include <cmath>
using namespace std;
int a, b, t;
int main() {
	cin>>a>>b;
	t = b;
	while(t) a*=10, t/=10;
	a += b;
	t = sqrt(a);
	cout<<(t*t==a ? "Yes":"No");
	return 0;
}
```