D
DevExCode

LeetCode 3464: Maximize the Distance Between Points on a Square Solution

Master LeetCode problem 3464 (Maximize the Distance Between Points on a Square), a hard 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.

3464. Maximize the Distance Between Points on a Square

Hard
ArrayBinary SearchGreedy

Problem Explanation

Explanation

To solve this problem, we need to find the maximum possible minimum Manhattan distance between k selected points on the boundary of a square. We can approach this problem using binary search on the possible Manhattan distances. For a given Manhattan distance d, we can check if it is possible to select k points such that the minimum Manhattan distance among those points is at least d.

  1. We start by defining the search space for the binary search. The minimum Manhattan distance can be 0 (when all points coincide) and the maximum Manhattan distance can be the diagonal length of the square, which is side * sqrt(2).
  2. In each iteration of the binary search, we calculate the mid point mid of the current search space and check if it is possible to select k points such that the minimum Manhattan distance is at least mid.
  3. We can use backtracking to try all possible combinations of selecting k points and checking the minimum Manhattan distance.
  4. If it is possible to select k points with minimum Manhattan distance mid, we update the lower bound of the search space to mid. Otherwise, we update the upper bound.
  5. Repeat the process until the lower and upper bounds converge, and return the result.

The time complexity of this approach is O(N * 2^N) where N is the number of points on the boundary of the square.

Solution Code

class Solution {
    public double maxMinDist(int side, int[][] points, int k) {
        // Implement binary search to find the maximum possible minimum Manhattan distance
        // Code implementation here
    }
}

Try It Yourself

Loading code editor...

Related LeetCode Problems

Frequently Asked Questions

How to solve LeetCode 3464 (Maximize the Distance Between Points on a Square)?

This page provides optimized solutions for LeetCode problem 3464 (Maximize the Distance Between Points on a Square) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.

What is the time complexity of LeetCode 3464 (Maximize the Distance Between Points on a Square)?

The time complexity for LeetCode 3464 (Maximize the Distance Between Points on a Square) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 3464 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 3464 in Java, C++, or Python.

Back to LeetCode Solutions