Problem:
Score : 200 points

Problem Statement

Find the sum of the integers between 1 and N (inclusive), whose sum of digits written in base 10 is between A and B (inclusive).

Constraints

1 \leq N \leq 10^4

1 \leq A \leq B \leq 36

All input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

Print the sum of the integers between 1 and N (inclusive), whose sum of digits written in base 10 is between A and B (inclusive).

Sample Input 1

20 2 5

Sample Output 1

84

Among the integers not greater than 20, the ones whose sums of digits are between 2 and 5, are: 2,3,4,5,11,12,13,14 and 20. We should print the sum of these, 84.

Sample Input 2

10 1 2

Sample Output 2

13

Sample Input 3

100 4 16

Sample Output 3

4554

Solution in Common Lisp (SBCL 1.1.14) (judge verdict: Wrong Answer)

(defun f (k)
  (+ (loop :for a :from 4 :downto 1 :sum(mod (floor k (* 10 a)) (* 10 a))) (mod k 10)))
(let ((n (read))
      (a (read))
      (b (read)))
  (princ (reduce #'+ (remove-if-not (lambda (q) (<= a (f q) b)) (loop :for x :from 1 :upto n :collect x)))))