#include <bits/stdc++.h>
#include <sysexits.h>
using namespace std;

int main (){
string s ,t;
cin >>s >>t;
int x = stoi (s+ t );
for ( int i =1; i <=1000; i ++){
if ( i*i == x ){
puts (" Yes ");
return 0;
}
}
puts (" No ");
}

### Prompt

In CPP, your task is to solve 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>
#include <sysexits.h>
using namespace std;

int main (){
string s ,t;
cin >>s >>t;
int x = stoi (s+ t );
for ( int i =1; i <=1000; i ++){
if ( i*i == x ){
puts (" Yes ");
return 0;
}
}
puts (" No ");
}

```