#include<bits/stdc++.h>
using namespace std;
int a,b,c,l;
int main(){
cin>>a>>b;
c=b;
while(c>0)
c/=10,l++;
a=a*pow(10,l)+b;
if(sqrt(a)==floor(sqrt(a))) cout<<"Yes";
else cout<<"No";}
### Prompt

In CPP, your task is to solve 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 a,b,c,l;
int main(){
cin>>a>>b;
c=b;
while(c>0)
c/=10,l++;
a=a*pow(10,l)+b;
if(sqrt(a)==floor(sqrt(a))) cout<<"Yes";
else cout<<"No";}
```