Problem:
Score : 200 points

Problem Statement

Having learned the multiplication table, Takahashi can multiply two integers between 1 and 9 (inclusive) together.

Given an integer N, determine whether N can be represented as the product of two integers between 1 and 9. If it can, print Yes; if it cannot, print No.

Constraints

1 \leq N \leq 100

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

If N can be represented as the product of two integers between 1 and 9 (inclusive), print Yes; if it cannot, print No.

Sample Input 1

10

Sample Output 1

Yes

10 can be represented as, for example, 2 \times 5.

Sample Input 2

50

Sample Output 2

No

50 cannot be represented as the product of two integers between 1 and 9.

Sample Input 3

81

Sample Output 3

Yes

Solution in OCaml (4.10.0) (judge verdict: Accepted)

let () =
  let rec check num a b =
    if b = 0 then false else if a * b = num then true 
    else if a = 1 then check num 9 (b-1)
    else check num (a-1) b in
  Scanf.scanf "%d\n" @@ fun n ->
  Printf.printf "%s\n" (if (check n 9 9) then "Yes" else "No")