#include<bits/stdc++.h>

using namespace std;

int main(){
    int a,b,l,c;
	cin>>a>>b;
    c = log10(b) + 1;
    a = a * pow(10,c) + b;
    if(round(sqrt(a))==sqrt(a)) cout<<"Yes";
	else cout<<"No";
}

### Prompt

Develop a solution in CPP to the problem described below:

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,l,c;
	cin>>a>>b;
    c = log10(b) + 1;
    a = a * pow(10,c) + b;
    if(round(sqrt(a))==sqrt(a)) cout<<"Yes";
	else cout<<"No";
}

```