#include<bits/stdc++.h>
using namespace std;
int main()
{
	string a,b;
	cin>>a>>b;
	int c=0,i;
	a=a+b;
	for(int i=0;i<a.size();i++) c=c*10+a[i]-48;
	if(int(sqrt(c))==sqrt(c)) cout<<"Yes\n";
	else cout<<" No\n";
	return 0;
}
### 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;
	int c=0,i;
	a=a+b;
	for(int i=0;i<a.size();i++) c=c*10+a[i]-48;
	if(int(sqrt(c))==sqrt(c)) cout<<"Yes\n";
	else cout<<" No\n";
	return 0;
}
```