#abc086b. [abc086_b]1 21

[abc086_b]1 21

Problem Statement

AtCoDeer the deer has found two positive integers, aa and bb. Determine whether the concatenation of aa and bb in this order is a square number.

Constraints

  • 11 a,ba,b 100100
  • aa and bb are integers.

Input

Input is given from Standard Input in the following format:

aa bb

Output

If the concatenation of aa and bb in this order is a square number, print Yes; otherwise, print No.


Sample Input 1

1 21

Sample Output 1

Yes

As 121121 \= 1111 × 1111, it is a square number.


Sample Input 2

100 100

Sample Output 2

No

100100100100 is not a square number.


Sample Input 3

12 10

Sample Output 3

No