#include<stdio.h>
#include<math.h>
#include<string.h>
#include<stdlib.h>
int main(){
char a[10],b[10];
scanf("%s %s",&a,&b);
int p = atoi(strcat(a,b));
if(sqrt(p)!=(int)sqrt(p)) printf("No");
else printf("Yes");
return 0;}

### Prompt

Your task is to create 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<stdio.h>
#include<math.h>
#include<string.h>
#include<stdlib.h>
int main(){
char a[10],b[10];
scanf("%s %s",&a,&b);
int p = atoi(strcat(a,b));
if(sqrt(p)!=(int)sqrt(p)) printf("No");
else printf("Yes");
return 0;}

```