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 Lua (5.3.2) (judge verdict: Accepted)

N=io.read("n")
A=io.read("n")
B=io.read("n")
function d(a)
  local s=0
  while (a>0) do
    s=s+a%10
    a=a//10
  end
  return s
end
local total=0
for i=1,N do
  if d(i)>=A and d(i)<=B then
    total=total+i
  end
end
print(total)