#include<bits/stdc++.h>
using namespace std;
int main()
{
	string a,b;
	cin>>a>>b;
	string c=a+b;
	int s=atoi(c.c_str()); 
	for(int i=1;i<=s/2+1;i++){
		if(i*i==s) {
			cout<<"Yes";
			return 0;
		}
	}
	cout<<"No";
	return 0;
}

### Prompt

Your task is to create 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;
	string c=a+b;
	int s=atoi(c.c_str()); 
	for(int i=1;i<=s/2+1;i++){
		if(i*i==s) {
			cout<<"Yes";
			return 0;
		}
	}
	cout<<"No";
	return 0;
}

```