How to Solve Minimize Manhattan Distances Problem
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Minimize Manhattan Distances
You are given an array points representing integer coordinates of some points on a 2D plane, where points[i] = [xi, yi]. The distance between two points is defined as their Manhattan distance. Return ...
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Understanding the Minimize Manhattan Distances Problem
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Problem Statement
You are given an array points representing integer coordinates of some points on a 2D plane, where points[i] = [xi, yi]. The distance between two points is defined as their Manhattan distance. Return the minimum possible value for maximum distance between any two points by removing exactly one point.
Minimize Manhattan Distances
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Examples
points = [[3,10],[5,15],[10,2],[4,4]]12The maximum distance after removing each point is the following: After removing the 0th point the maximum distance is between points (5, 15) and (10, 2), which is |5 - 10| + |15 - 2| = 18. After removing the 1st point the maximum distance is between points (3, 10) and (10, 2), which is |3 - 10| + |10 - 2| = 15. After removing the 2nd point the maximum distance is between points (5, 15) and (4, 4), which is |5 - 4| + |15 - 4| = 12. After removing the 3rd point the maximum distance is between points (5, 15) and (10, 2), which is |5 - 10| + |15 - 2| = 18. 12 is the minimum possible maximum distance between any two points after removing exactly one point.
points = [[1,1],[1,1],[1,1]]0Removing any of the points results in the maximum distance between any two points of 0.
Constraints
3 <= points.length <= 105points[i].length == 21 <= points[i][0], points[i][1] <= 108How Interview Coder Helps with Leetcode Problems
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