# Position in Fraction

Time Limit: 1 second

Memory Limit: 256 megabytes

## Description

You have a fraction . You need to find the first occurrence of digit c into decimal notation of the fraction after decimal point.

## Input

The first contains three single positive integers a, b, c (1 ≤ a < b ≤ 105, 0 ≤ c ≤ 9).

## Output

Print position of the first occurrence of digit c into the fraction. Positions are numbered from 1 after decimal point. It there is no such position, print -1.

## Sample Input

Input1 2 0Output2Input2 3 7Output-1

## Sample Output

None

## Hint

The fraction in the first example has the following decimal notation: . The first zero stands on second position.

The fraction in the second example has the following decimal notation: . There is no digit 7 in decimal notation of the fraction.

None