#include<cstdio>
#include<cmath>
int a,b,c=1;
int main(){
  scanf("%d%d",&a,&b);
  while(c<=b)c*=10;
  a=a*c+b;
  puts(floor(sqrt(a))==sqrt(a)?"Yes":"No");
}
### Prompt

Construct a CPP code solution to the problem outlined:

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<cstdio>
#include<cmath>
int a,b,c=1;
int main(){
  scanf("%d%d",&a,&b);
  while(c<=b)c*=10;
  a=a*c+b;
  puts(floor(sqrt(a))==sqrt(a)?"Yes":"No");
}
```