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

int main(){
	
	string a, b; cin>>a>>b;
	a += b;
	int x = stoi(a);
	
	cout<<(x == trunc(sqrt(x)) * trunc(sqrt(x)) ? "Yes\n" : "No\n");
}

### Prompt

Develop a solution in CPP to the problem described below:

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 a, b; cin>>a>>b;
	a += b;
	int x = stoi(a);
	
	cout<<(x == trunc(sqrt(x)) * trunc(sqrt(x)) ? "Yes\n" : "No\n");
}

```