Problem:
Score : 200 points

Problem Statement

An integer X is called a Harshad number if X is divisible by f(X), where f(X) is the sum of the digits in X when written in base 10.

Given an integer N, determine whether it is a Harshad number.

Constraints

1?N?10^8

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

Print Yes if N is a Harshad number; print No otherwise.

Sample Input 1

12

Sample Output 1

Yes

f(12)=1+2=3. Since 12 is divisible by 3, 12 is a Harshad number.

Sample Input 2

57

Sample Output 2

No

f(57)=5+7=12. Since 57 is not divisible by 12, 12 is not a Harshad number.

Sample Input 3

148

Sample Output 3

No

Solution in OCaml (4.02.3) (judge verdict: Accepted)

(* O(log n) *)
Scanf.scanf "%d" @@ fun n ->
  let rec sum acc m =
    if m <= 0 then acc else sum (acc + m mod 10) @@ m / 10 in
  print_endline @@ if n mod sum 0 n = 0 then "Yes" else "No"