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)

(princ (loop :for k :from 1 :upto (read) :with a := (read) :with b := (read)
             :for x := (loop :for l :from (1+ (floor (log k 10))) :downto 1
                             :for j := k :then (mod j (expt 10 l))
                             :sum (floor j (expt 10 (1- l))))
             :if (<= a x b) :sum k))