3311. Construct 2D Grid Matching Graph Layout
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.
:
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;
}
}Code Editor (Testing phase)
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