Jordan is in the center of a circle whose radius is $100$ meters and can move one meter at a time, however, there is a giant who at every step can force you to move in the opposite direction to the one he chose (it does not mean returning to the place of departure, but advance but in the opposite direction to the chosen one). Determine the minimum number of steps that Jordan must give to get out of the circle.
Problem
Source: OLCOMA Costa Rica National Olympiad, Final Round, 2018 Shortlist LRP3 (Logic Reasoning Probability)
Tags: combinatorics, game, game strategy