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Grokking the Coding Interview Patterns in Python

Solution: Best Meeting Point

Explore how to calculate the minimum total travel distance for friends to meet in a 2D grid by leveraging Manhattan distance and median positions. Learn to collect row and column indices of friend locations, then apply a two-pointer method to efficiently compute the optimal meeting point, improving your matrix problem-solving skills.

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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: ...