#include <bits/stdc++.h>
using namespace std;
int main(){
	int a,b,c;
	cin>>a>>b;
	if(b<10) b+=a*10;
	else if(b<100) b+=a*100;
	else b+=a*1000;
	for(c=0;c*c<b;c++){}
	if(c*c==b) cout<<"Yes";
	else cout<<"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;
int main(){
	int a,b,c;
	cin>>a>>b;
	if(b<10) b+=a*10;
	else if(b<100) b+=a*100;
	else b+=a*1000;
	for(c=0;c*c<b;c++){}
	if(c*c==b) cout<<"Yes";
	else cout<<"No";
	return 0;
}

```