#include<cstdio>
#include<cmath>
char s[20];
int a,l;
int main()
{
	while((s[l]=getchar())!=-1&&s[l]!='\n')
		if(s[l]!=' ') l++;
	sscanf(s,"%d",&a);
	if(sqrt(a)==(int)sqrt(a))
		puts("Yes");
	else puts("No");
	return 0;
}
### Prompt

Please provide a Cpp coded solution 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<cmath>
char s[20];
int a,l;
int main()
{
	while((s[l]=getchar())!=-1&&s[l]!='\n')
		if(s[l]!=' ') l++;
	sscanf(s,"%d",&a);
	if(sqrt(a)==(int)sqrt(a))
		puts("Yes");
	else puts("No");
	return 0;
}
```