#include <bits/stdc++.h>
using namespace std;

int main(){
	int a,b;
	cin >> a >> b;
	string c = to_string(a) + to_string(b);
	int d = stoi(c);
	a = (int) sqrt(d);
	if (a*a == d) cout << "Yes";
	else cout << "No";
}

### 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(){
	int a,b;
	cin >> a >> b;
	string c = to_string(a) + to_string(b);
	int d = stoi(c);
	a = (int) sqrt(d);
	if (a*a == d) cout << "Yes";
	else cout << "No";
}

```