#include <bits/stdc++.h>

#define rep(i,n) for(int i=0;i<(n);i++)

using namespace std;

int main(){
	string s,t; cin>>s>>t;
	rep(i,1000) if(i*i==stoi(s+t)) { cout<<"Yes"<<endl; return 0; }
	cout<<"No"<<endl;
	return 0;
}

### Prompt

Please provide a CPP coded solution 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>

#define rep(i,n) for(int i=0;i<(n);i++)

using namespace std;

int main(){
	string s,t; cin>>s>>t;
	rep(i,1000) if(i*i==stoi(s+t)) { cout<<"Yes"<<endl; return 0; }
	cout<<"No"<<endl;
	return 0;
}

```