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Grokking the Coding Interview Patterns in C++

Solution: Best Meeting Point

Explore how to determine the best meeting point on a 2D grid by calculating the minimum total Manhattan travel distance. Understand how to gather friend locations, compute medians for rows and columns, and apply a two-pointer technique to efficiently solve the problem.

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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: ...