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Grokking the Coding Interview Patterns in JavaScript

Solution: Minimize Manhattan Distances

Explore how to minimize the maximum Manhattan distance between points on a 2D plane by understanding sums and differences of coordinates. This lesson helps you identify which point to remove by analyzing extreme values efficiently, enabling you to solve problems involving Manhattan distances with an optimal approach.

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Statement

You are given an array, points, where each element in points[i] =[xj,yi]= [x_j, y_i] represents the integer coordinates of a point in a 2D plane. The distance between any two points is defined as the Manhattan distanceThe Manhattan distance between two cells (x1, y1) and (x2, y2) is |x_1 - x_2| + |y_1 - y_2|..

Your task is to determine and return the smallest possible value for the maximum distance between any two points after removing exactly one point from the array.

Constraints:

  • 3≤3 \leq points.length ≤103\leq 10^3 ...