Introduction

In this blog post, we will explore how to solve the LeetCode problem "1637" using AI. LeetCode is a popular platform for preparing for coding interviews, and with the help of AI tools like Chatmagic, we can generate solutions quickly and efficiently - helping you pass the interviews and get the job offer without having to study for months.

Problem Statement

Given n points on a 2D plane where points[i] = [xi, yi], Return the widest vertical area between two points such that no points are inside the area. A vertical area is an area of fixed-width extending infinitely along the y-axis (i.e., infinite height). The widest vertical area is the one with the maximum width. Note that points on the edge of a vertical area are not considered included in the area. Example 1: ​ Input: points = [[8,7],[9,9],[7,4],[9,7]] Output: 1 Explanation: Both the red and the blue area are optimal. Example 2: Input: points = [[3,1],[9,0],[1,0],[1,4],[5,3],[8,8]] Output: 3 Constraints: n == points.length 2 <= n <= 105 points[i].length == 2 0 <= xi, yi <= 109

Explanation

Here's the approach to solve this problem:

• Sort by X-coordinates: The key is to sort the points based on their x-coordinates. This allows us to iterate through the points and easily find the difference between consecutive x-coordinates.
• Calculate Differences: After sorting, iterate through the sorted points and calculate the difference between the x-coordinates of adjacent points.

• Find Maximum Difference: Keep track of the maximum difference encountered during the iteration. This maximum difference represents the widest vertical area with no points inside.

• Runtime Complexity: O(n log n) due to sorting. Storage Complexity: O(n) in the worst case, due to sorting (depending on the sorting algorithm implementation, it can be in-place O(1)).

Code

    def max_width_vertical_area(points):
    """
    Finds the widest vertical area between two points such that no points are inside the area.

    Args:
        points: A list of 2D points (lists of [x, y] coordinates).

    Returns:
        The maximum width of the vertical area.
    """

    points.sort(key=lambda p: p[0])  # Sort by x-coordinate
    max_width = 0
    for i in range(1, len(points)):
        width = points[i][0] - points[i - 1][0]
        max_width = max(max_width, width)

    return max_width