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

int main(){
	string a,b;
	int ren;
	string ans="No";

	cin>>a>>b;

	ren=stoi(a+b);

	for(int i=0;i<1000;i++){
		if(ren==i*i){
			ans="Yes";
			break;
		}
	}
	cout<<ans;
}

### Prompt

Your task is to create 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 a,b;
	int ren;
	string ans="No";

	cin>>a>>b;

	ren=stoi(a+b);

	for(int i=0;i<1000;i++){
		if(ren==i*i){
			ans="Yes";
			break;
		}
	}
	cout<<ans;
}

```