Description

When the fraction ${a}/{b}$ is converted to a decimal, what is the digit at the $n$-th position after the decimal point?

Input Format

Three positive integers $a$, $b$, and $n$, separated by single spaces between adjacent numbers. 0 < a < b < 100, 1 ≤ n ≤ 10000.

Output Format

A single digit.

1 2 1

5