#include<bits/stdc++.h>

using namespace std;
int main(void){
    // Your code here!
    string a,b;
    std::cin >> a >>b;
    std::cout << (stoi(a+b)==pow(int(sqrt(stoi(a+b))),2)?"Yes":"No") << std::endl;
}

### Prompt

Generate a cpp solution to 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<bits/stdc++.h>

using namespace std;
int main(void){
    // Your code here!
    string a,b;
    std::cin >> a >>b;
    std::cout << (stoi(a+b)==pow(int(sqrt(stoi(a+b))),2)?"Yes":"No") << std::endl;
}

```