Search⌘ K
AI Features
Home
Courses
Grokking the Coding Interview Patterns in C#

Solution: Best Meeting Point

Understand how to determine the optimal meeting point in a grid by calculating the minimal total Manhattan distance from friends' homes. Explore an efficient solution using median positions and a two-pointer approach to sum distances, improving problem-solving for matrix-based coding interview questions.

We'll cover the following...

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: ...