Question: Given n points P1, P2, ..., Pn in 2D-plane and a slope a, we want to find two closest lines with functions y = ax

Given n points P1, P2, ..., Pn in 2D-plane and a

Given n points P1, P2, ..., Pn in 2D-plane and a slope a, we want to find two closest lines with functions y = ax + b and y = ax + b2, bi 5 b2, so that all n points are in or on between these two lines. Construct an algorithm with the time complexity O(n) and justify your algorithm. Describe your algorithm (you do not need to give a pseudo code) and analyze the running time of your algorithm

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