Problem:
Score : 100 points

Problem Statement

You are given integers A and B, each between 1 and 3 (inclusive).

Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number.

Constraints

All values in input are integers.

1 \leq A, B \leq 3

Input

Input is given from Standard Input in the following format:

A B

Output

If there is an integer C between 1 and 3 that satisfies the condition, print Yes; otherwise, print No.

Sample Input 1

3 1

Sample Output 1

Yes

Let C = 3. Then, A \times B \times C = 3 \times 1 \times 3 = 9, which is an odd number.

Sample Input 2

1 2

Sample Output 2

No

Sample Input 3

2 2

Sample Output 3

No

Solution in OCaml (4.02.3) (judge verdict: Runtime Error)

let rec gcd n m =
  if m = 0 then n
  else gcd m (n mod m)

let () = Scanf.scanf "%d %d\n" @@ fun n x ->
  let xs = Array.init n @@ fun _ ->
    Scanf.scanf "%d " @@ fun x -> x in
  Printf.printf "%d\n" @@ Array.fold_right (fun x' -> gcd @@ abs @@ x' - x) xs 0