#include <iostream>
#include <string>
using namespace std;

int main() {
	string a, b;
	cin >>a>>b;
	int c = stoi(a + b);
	for (int i = 1;i <= 1000;i++) {
		if (i*i == c) {
			puts("Yes");
			return 0;
		}

	}
	puts("No");
}


### 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 <iostream>
#include <string>
using namespace std;

int main() {
	string a, b;
	cin >>a>>b;
	int c = stoi(a + b);
	for (int i = 1;i <= 1000;i++) {
		if (i*i == c) {
			puts("Yes");
			return 0;
		}

	}
	puts("No");
}


```