#include<cstdio>
#include<cstring>
#include<cmath>

char s[4];

int main(void)
{
	int x,sx;
	scanf("%s",s); scanf("%s",s+strlen(s));
	sscanf(s,"%d",&x);
	sx=sqrt(x);
	printf(sx*sx==x?"Yes":"No");
	return 0;
}
### 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<cstdio>
#include<cstring>
#include<cmath>

char s[4];

int main(void)
{
	int x,sx;
	scanf("%s",s); scanf("%s",s+strlen(s));
	sscanf(s,"%d",&x);
	sx=sqrt(x);
	printf(sx*sx==x?"Yes":"No");
	return 0;
}
```