#include<bits/stdc++.h>
using namespace std;
string b;
int a,c;
double d;
stringstream ss;
int main()
{
	cin>>a>>b;
	ss<<b,ss>>c;
	d=sqrt(a*pow(10,b.size())+c);
	if(d-(int)d==0) puts("Yes");
	else puts("No");
	return 0; 
}
### Prompt

Please create a solution in CPP 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;
string b;
int a,c;
double d;
stringstream ss;
int main()
{
	cin>>a>>b;
	ss<<b,ss>>c;
	d=sqrt(a*pow(10,b.size())+c);
	if(d-(int)d==0) puts("Yes");
	else puts("No");
	return 0; 
}
```