Problem:
Score : 200 points

Problem Statement

Let S(n) denote the sum of the digits in the decimal notation of n.
For example, S(101) = 1 + 0 + 1 = 2.

Given an integer N, determine if S(N) divides N.

Constraints

1 \leq N \leq 10^9

Input

Input is given from Standard Input in the following format:

N

Output

If S(N) divides N, print Yes; if it does not, print No.

Sample Input 1

12

Sample Output 1

Yes

In this input, N=12.
As S(12) = 1 + 2 = 3, S(N) divides N.

Sample Input 2

101

Sample Output 2

No

As S(101) = 1 + 0 + 1 = 2, S(N) does not divide N.

Sample Input 3

999999999

Sample Output 3

Yes

Solution in Common Lisp (SBCL 1.1.14) (judge verdict: Accepted)

(defparameter n (read-line))
(defparameter digit (read-from-string n))
(defparameter total 
  (reduce #'(lambda (m x) (+ x m)) 
    (mapcar (lambda (x) (parse-integer (string x))) (coerce n 'list))))

(if (= (mod digit total) 0) (princ "Yes") (princ "No"))