Problem: Best Meeting Point

hard

40 min

Explore how to determine the best meeting point on a 2D grid by calculating the minimum total travel distance. Understand the use of Manhattan distance and efficient matrix traversal to solve problems involving friends' homes placed on the grid. Practice implementing this logic in a coding environment to optimize travel paths.

Statement

You are given a 2D grid of size $m \times n$ , where each cell contains either a $0$ or a $1$ .

A $1$ represents the home of a friend, and a $0$ 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:

$m ==$ grid.length
$n==$ grid[i].length
$1 \leq m, n \leq 50$
grid[i][j] is either 0 or 1.
There will be at least two friends in the grid.

Problem: Best Meeting Point

hard

40 min

Statement

You are given a 2D grid of size $m \times n$ , where each cell contains either a $0$ or a $1$ .

A $1$ represents the home of a friend, and a $0$ 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:

$m ==$ grid.length
$n==$ grid[i].length
$1 \leq m, n \leq 50$
grid[i][j] is either 0 or 1.
There will be at least two friends in the grid.

Problem: Best Meeting Point

Statement

Examples

Understand the problem

Figure it out!

Try it yourself

Problem: Best Meeting Point

Statement

Examples

Understand the problem

Figure it out!

Try it yourself