#include<bits/stdc++.h>
using namespace std;
int main(){
	string a,b;
  	cin >> a >> b;
  	int s = atoi((a+b).c_str());
  	int t = (int)sqrt(s);
  
  	puts(t*t==s?"Yes":"No");
  
	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(){
	string a,b;
  	cin >> a >> b;
  	int s = atoi((a+b).c_str());
  	int t = (int)sqrt(s);
  
  	puts(t*t==s?"Yes":"No");
  
	return 0;
}
```