Introduction

In this blog post, we will explore how to solve the LeetCode problem "624" 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

You are given m arrays, where each array is sorted in ascending order. You can pick up two integers from two different arrays (each array picks one) and calculate the distance. We define the distance between two integers a and b to be their absolute difference |a - b|. Return the maximum distance. Example 1: Input: arrays = [[1,2,3],[4,5],[1,2,3]] Output: 4 Explanation: One way to reach the maximum distance 4 is to pick 1 in the first or third array and pick 5 in the second array. Example 2: Input: arrays = [[1],[1]] Output: 0 Constraints: m == arrays.length 2 <= m <= 105 1 <= arrays[i].length <= 500 -104 <= arrays[i][j] <= 104 arrays[i] is sorted in ascending order. There will be at most 105 integers in all the arrays.

Explanation

Here's an efficient approach to solve the maximum distance problem:

• Key Idea: The maximum distance must occur between the smallest element of one array and the largest element of another array. Therefore, we need to find the overall minimum and maximum values across all arrays, and consider special cases where the min/max belong to the same array.

• Iterate and Update: We can iterate through the arrays, keeping track of the current overall minimum and maximum values encountered so far. We also need to keep track of the array index where the minimum and maximum values occurred so that we handle cases where min and max belongs to the same array.

• Handle Same Array Case: If the overall minimum and maximum both came from the same array, the maximum distance must involve the second smallest or second largest element of the arrays.

• Complexity: Time: O(m), where m is the number of arrays. Space: O(1).

Code

    def maxDistance(arrays):
    """
    Finds the maximum distance between two integers picked from different arrays.

    Args:
        arrays: A list of sorted arrays.

    Returns:
        The maximum distance between two integers from different arrays.
    """

    min_val = arrays[0][0]
    max_val = arrays[0][-1]
    max_distance = 0

    for i in range(1, len(arrays)):
        current_min = arrays[i][0]
        current_max = arrays[i][-1]

        max_distance = max(max_distance, abs(current_max - min_val), abs(max_val - current_min))
        min_val = min(min_val, current_min)
        max_val = max(max_val, current_max)

    return max_distance