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 sum (x)
  (let ((ret 0))
    (loop
       (if (zerop x) (return))
       (setf ret (+ ret (rem x 10)))
       (setf x (floor x 10)))
    ret))

(defun fun (n a b)
  (let ((ans 0)
	(x 0))
    (dotimes (i (1+ n))
      (setf x (sum i))
      (if (and
	   (<= a x)
	   (>= b x))
	  (incf ans)))
    ans))

(format t "~A~%" (fun (read) (read) (read)))