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Solution: Best Meeting Point

Explore how to determine the minimum total travel distance to a meeting point on a 2D grid where friends' homes are marked. Learn to apply Manhattan distance principles, identify median positions for rows and columns, and use a two-pointer technique to efficiently calculate the shortest aggregated travel distance.

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Statement

You are given a 2D grid of size m×nm \times n, where each cell contains either a 00 or a 11.

A 11 represents the home of a friend, and a 00 represents an empty space.

Your task is to return the minimum total travel distance to a meeting point. The total travel distance is the sum of the Manhattan distances between each friend’s home and the meeting point.

The Manhattan Distance between two points (x1, y1) and (x2, y2) is calculated as:
|x2 - x1| + |y2 - y1|.

Constraints: ...