#include<cstdio>
#include<cmath>
int main()
{
	int n,m;scanf("%d%d",&n,&m);
	int t=1;while(t<=m) t*=10;
	n=n*t+m;t=sqrt(n);
	if(t*t==n) printf("Yes");else printf("No");
	return 0;
}
### Prompt

Generate 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<cstdio>
#include<cmath>
int main()
{
	int n,m;scanf("%d%d",&n,&m);
	int t=1;while(t<=m) t*=10;
	n=n*t+m;t=sqrt(n);
	if(t*t==n) printf("Yes");else printf("No");
	return 0;
}
```