#include <iostream>
#include <cmath>

int main() {
    std::string a, b;
    std::cin >> a >> b;
    auto sqrt = std::sqrt(std::stoi(a + b));
    std::cout << (std::ceil(sqrt) == sqrt ? "Yes" : "No")  << std::endl;
    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 <iostream>
#include <cmath>

int main() {
    std::string a, b;
    std::cin >> a >> b;
    auto sqrt = std::sqrt(std::stoi(a + b));
    std::cout << (std::ceil(sqrt) == sqrt ? "Yes" : "No")  << std::endl;
    return 0;
}

```