B. Position in Fractiontime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputYou have a fraction . You need to find the first occurrence of digit c into decimal notation of the fraction after decimal point.InputThe first contains three single positive integers a, b, c (1 ≤ a < b ≤ 105, 0 ≤ c ≤ 9).OutputPrint 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.ExamplesInput1 2 0Output2Input2 3 7Output-1NoteThe 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. 
Input1 2 0
Output2
['math', 'number theory', '*1300']