624. Maximum Distance in Arrays

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Problem

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
• $2 <= m <= 10^5$
• 1 <= arrays[i].length <= 500
• $-10^4 <= arrays[i][j] <= 10^4$
• arrays[i] is sorted in ascending order.
• There will be at most $10^5$ integers in all the arrays.

Code

class Solution {
    public int maxDistance(List<List<Integer>> arrays) {
        int res = 0;

        int max = arrays.get(0).get(arrays.get(0).size() - 1);
        int min = arrays.get(0).get(0);
        
        for (int i = 1; i < arrays.size(); i++) {
            int start = arrays.get(i).get(0);
            int end = arrays.get(i).get(arrays.get(i).size() - 1);

            res = Math.max(res, Math.abs(max - start));
            res = Math.max(res, Math.abs(end - min));

            max = Math.max(max, end);
            min = Math.min(min, start);
        }
        
        return res;
    }
}