#include <bits/stdc++.h>
#define rep(i,n)for(int i=0;i<(n);i++)
using namespace std;

int main(){
	string a,b;cin>>a>>b;
	int d=stoi(a+b);
	puts((int)sqrt(d)*(int)sqrt(d)==d?"Yes":"No");
}

### Prompt

Generate 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>
#define rep(i,n)for(int i=0;i<(n);i++)
using namespace std;

int main(){
	string a,b;cin>>a>>b;
	int d=stoi(a+b);
	puts((int)sqrt(d)*(int)sqrt(d)==d?"Yes":"No");
}

```