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: Runtime Error)

(defun counting (n)
  (if (eq n 0)
      0
      (+ (rem n 10) (counting (floor n 10)))))

(defun some-sums (n a b)
  (if (and
       (<= a (counting n))
       (>= b (counting n)))
      (+ n (some-sums (1- n) a b))
      (some-sums (1- n) a b)))
      
(format t "~A~%" (some-sums (read) (read) (read)))