#include<cstdio>
#include<cmath>
int a,b;
int main()
{
	scanf("%d%d",&a,&b);
	(b>=100?a*1000+b:(b>=10?a*100+b:a*10+b))==pow(int(sqrt(b>=100?a*1000+b:(b>=10?a*100+b:a*10+b))),2)?puts("Yes"):puts("No");
	return 0;
}
### Prompt

Create a solution in CPP for 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 a,b;
int main()
{
	scanf("%d%d",&a,&b);
	(b>=100?a*1000+b:(b>=10?a*100+b:a*10+b))==pow(int(sqrt(b>=100?a*1000+b:(b>=10?a*100+b:a*10+b))),2)?puts("Yes"):puts("No");
	return 0;
}
```