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

int main(){
	int a,b;
	double d;
	string s,s2;
	cin >> s >> s2;
	s+=s2;
	a=atoi(s.c_str());
	d=a;
	d=sqrt(d);
	b=d;
	cout << (b*b==a?"Yes":"No") << endl;
	
	return 0;
}
### Prompt

Your challenge is to write 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;
	double d;
	string s,s2;
	cin >> s >> s2;
	s+=s2;
	a=atoi(s.c_str());
	d=a;
	d=sqrt(d);
	b=d;
	cout << (b*b==a?"Yes":"No") << endl;
	
	return 0;
}
```