D
DevExCode

LeetCode 2852: Sum of Remoteness of All Cells Solution

Master LeetCode problem 2852 (Sum of Remoteness of All Cells), 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.

Problem Explanation

Explanation:

The problem asks us to find the sum of remoteness of all cells in a grid. The remoteness of a cell is defined as the sum of the Manhattan distances between that cell and all other cells in the grid. We need to calculate the remoteness for each cell and return the sum of all remoteness values.

To solve this problem, we can iterate over each cell in the grid and calculate the distance between that cell and every other cell in the grid. We can use the Manhattan distance formula, which is the sum of the absolute differences between the x and y coordinates of two points.

Algorithm:

  1. Initialize a variable totalRemoteness to store the sum of remoteness for all cells.
  2. Iterate over each cell (i, j) in the grid.
  3. For each cell, iterate over all other cells in the grid and calculate the Manhattan distance between the current cell and the other cell.
  4. Add the calculated distance to the totalRemoteness.
  5. Return totalRemoteness as the final result.

Time Complexity: O(n^2), where n is the number of cells in the grid. Space Complexity: O(1).

:

Solution Code

class Solution {
    public int sumOfRemoteness(int[][] grid) {
        int totalRemoteness = 0;
        int n = grid.length;
        
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                for (int k = 0; k < n; k++) {
                    for (int l = 0; l < n; l++) {
                        totalRemoteness += Math.abs(i - k) + Math.abs(j - l);
                    }
                }
            }
        }
        
        return totalRemoteness;
    }
}

Try It Yourself

Loading code editor...

Related LeetCode Problems

Frequently Asked Questions

How to solve LeetCode 2852 (Sum of Remoteness of All Cells)?

This page provides optimized solutions for LeetCode problem 2852 (Sum of Remoteness of All Cells) 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 2852 (Sum of Remoteness of All Cells)?

The time complexity for LeetCode 2852 (Sum of Remoteness of All Cells) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 2852 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 2852 in Java, C++, or Python.

Back to LeetCode Solutions