Problem: Minimize Manhattan Distances

Hard

40 min

Explore methods to minimize the maximum Manhattan distance among points in a 2D plane by strategically removing one point. Understand the problem constraints and practice efficient solutions to sharpen your skills in mathematical and geometric coding challenges.

Statement

You are given an array, points, where each element in points[i] $= [x_j, y_i]$ 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:

$3 \leq$ points.length $\leq 10^3$
points[i].length $== 2$
$1 \leq$ points[i][0], points[i][1] $\leq 10^3$

Problem: Minimize Manhattan Distances

Hard

40 min

Statement

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:

$3 \leq$ points.length $\leq 10^3$
points[i].length $== 2$
$1 \leq$ points[i][0], points[i][1] $\leq 10^3$

Problem: Minimize Manhattan Distances

Statement

Examples

Understand the problem

Figure it out!

Try it yourself

Problem: Minimize Manhattan Distances

Statement

Examples

Understand the problem

Figure it out!

Try it yourself