#P281B. Nearest Fraction
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ID: 8455
Type: RemoteJudge
2000ms
256MiB
Tried: 0
Accepted: 0
Difficulty: 5
Uploaded By:
Hydro
Tags> Nearest Fraction
Description
You are given three positive integers x, y, n. Your task is to find the nearest fraction to fraction 
whose denominator is no more than n.
Formally, you should find such pair of integers a, b (1 ≤ b ≤ n; 0 ≤ a) that the value 
is as minimal as possible.
If there are multiple "nearest" fractions, choose the one with the minimum denominator. If there are multiple "nearest" fractions with the minimum denominator, choose the one with the minimum numerator.
A single line contains three integers x, y, n (1 ≤ x, y, n ≤ 105).
Print the required fraction in the format "a/b" (without quotes).
Input
A single line contains three integers x, y, n (1 ≤ x, y, n ≤ 105).
Output
Print the required fraction in the format "a/b" (without quotes).
3 7 6
7 2 4
2/5
7/2