LeetCode 2152: Minimum Number of Lines to Cover Points Solution

Master LeetCode problem 2152 (Minimum Number of Lines to Cover Points), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

2152. Minimum Number of Lines to Cover Points

Medium

Array Hash Table Math Dynamic Programming Backtracking Bit Manipulation Geometry Bitmask

Problem Explanation

Explanation:

To solve this problem, we need to calculate the minimum number of lines needed to cover a set of points. The idea is to find the maximum difference between consecutive points in either the x-axis or y-axis and sum them up to get the total number of lines needed.

Algorithm:

Initialize a variable lines to 0.
Iterate over the points starting from the second point.
For each point, calculate the absolute differences in x and y coordinates with the previous point.
Increment lines by the maximum of the two differences.
Return lines as the result.

Time Complexity: O(n) Space Complexity: O(1)

: :

Solution Code

class Solution {
    public int minTimeToVisitAllPoints(int[][] points) {
        int lines = 0;
        for (int i = 1; i < points.length; i++) {
            int dx = Math.abs(points[i][0] - points[i - 1][0]);
            int dy = Math.abs(points[i][1] - points[i - 1][1]);
            lines += Math.max(dx, dy);
        }
        return lines;
    }
}

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