#include <iostream>
#include <cstdio>
#include <string>

using namespace std;

int main (){
string s ,t;
cin >> s >> t;
int x = stoi(s+t);
for (int i=1; i<=1000; i++){
if (i*i == x){
puts("Yes");
return 0;
}
}
puts("No");
}
### 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 <iostream>
#include <cstdio>
#include <string>

using namespace std;

int main (){
string s ,t;
cin >> s >> t;
int x = stoi(s+t);
for (int i=1; i<=1000; i++){
if (i*i == x){
puts("Yes");
return 0;
}
}
puts("No");
}
```