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: Accepted)

(defmacro while (test &body body)
  `(do ()
       ((not ,test))
     ,@body))

(defun find-sum-of-digits (n)
  (let ((sum 0))
    (while (> n 0)
      (setf sum (+ sum (rem n 10)))
      (setf n (floor n 10)))
    sum))

(defun some-sums (n a b)
  (let ((total 0)
        (sum 0))
    (dotimes (i (+ n 1))
      (setf sum (find-sum-of-digits i))
      (if (and (>= sum a) (<= sum b))
          (setf total (+ total i))))
    total))

(format t "~A~%" (some-sums (read) (read) (read)))