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B - Some Sums

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).

20 2 5

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, $84$.

10 1 2

13

100 4 16

4554