LeetCode 3311: Construct 2D Grid Matching Graph Layout Solution

Master LeetCode problem 3311 (Construct 2D Grid Matching Graph Layout), 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.

3311. Construct 2D Grid Matching Graph Layout

Hard

Array Hash Table Graph Matrix

Problem Explanation

Explanation:

To construct a 2D grid matching the graph layout described by the given edges, we can follow the following approach:

Create a grid of size n x n (where n is the number of nodes).
Traverse through the edges and place the nodes in the grid based on their connections.
Start from any node and iterate through its neighbors to fill the grid.
Adjust the positions of the nodes to satisfy the adjacency condition.
Return the constructed 2D grid.

Time Complexity: O(n) where n is the number of nodes.
Space Complexity: O(n^2) for the 2D grid.

Solution Code

class Solution {
    public int[][] construct2DGridMatchingGraphLayout(int n, int[][] edges) {
        int[][] grid = new int[n][n];
        Map<Integer, int[]> nodePositions = new HashMap<>();
        
        for (int i = 0; i < n; i++) {
            nodePositions.put(i, new int[]{i / n, i % n});
        }
        
        for (int[] edge : edges) {
            int node1 = edge[0];
            int node2 = edge[1];
            
            int[] pos1 = nodePositions.get(node1);
            int[] pos2 = nodePositions.get(node2);
            
            grid[pos1[0]][pos1[1]] = node2;
            grid[pos2[0]][pos2[1]] = node1;
        }
        
        return grid;
    }
}

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