Count Sub Islands: BFS
Problem can be solved with either a DFS or BFS, decided to go with BFS:
1/ Parse grid2 looking for islands. Use BFS to find them. Store them (O(N))
2/ Go thru the list of islands from #1, check whether they exist in grid1 (O(N))
Code is below, happy Father's Day!!! ACC
You are given two m x n
binary matrices grid1
and grid2
containing only 0
's (representing water) and 1
's (representing land). An island is a group of 1
's connected 4-directionally (horizontal or vertical). Any cells outside of the grid are considered water cells.
An island in grid2
is considered a sub-island if there is an island in grid1
that contains all the cells that make up this island in grid2
.
Return the number of islands in grid2
that are considered sub-islands.
Example 1:
Input: grid1 = [[1,1,1,0,0],[0,1,1,1,1],[0,0,0,0,0],[1,0,0,0,0],[1,1,0,1,1]], grid2 = [[1,1,1,0,0],[0,0,1,1,1],[0,1,0,0,0],[1,0,1,1,0],[0,1,0,1,0]] Output: 3 Explanation: In the picture above, the grid on the left is grid1 and the grid on the right is grid2. The 1s colored red in grid2 are those considered to be part of a sub-island. There are three sub-islands.
Example 2:
Input: grid1 = [[1,0,1,0,1],[1,1,1,1,1],[0,0,0,0,0],[1,1,1,1,1],[1,0,1,0,1]], grid2 = [[0,0,0,0,0],[1,1,1,1,1],[0,1,0,1,0],[0,1,0,1,0],[1,0,0,0,1]] Output: 2 Explanation: In the picture above, the grid on the left is grid1 and the grid on the right is grid2. The 1s colored red in grid2 are those considered to be part of a sub-island. There are two sub-islands.
Constraints:
m == grid1.length == grid2.length
n == grid1[i].length == grid2[i].length
1 <= m, n <= 500
grid1[i][j]
andgrid2[i][j]
are either0
or1
.
public class IslandCell { public int row = 0; public int col = 0; public IslandCell(int row, int col) { this.row = row; this.col = col; } } public class Solution { public int CountSubIslands(int[][] grid1, int[][] grid2) { List> islands = new List
>(); for (int r = 0; r < grid2.Length; r++) { for (int c = 0; c < grid2[r].Length; c++) { if (grid2[r][c] == 1) { List
island = new List (); Queue queue = new Queue(); grid2[r][c] = 0; queue.Enqueue(new IslandCell(r, c)); int[] rowDelta = { 1, -1, 0, 0 }; int[] colDelta = { 0, 0, 1, -1 }; while (queue.Count > 0) { IslandCell cell = (IslandCell)queue.Dequeue(); island.Add(cell); for (int i = 0; i < rowDelta.Length; i++) { int row = cell.row + rowDelta[i]; int col = cell.col + colDelta[i]; if (row >= 0 && row < grid2.Length && col >= 0 && col < grid2[row].Length && grid2[row][col] == 1) { grid2[row][col] = 0; queue.Enqueue(new IslandCell(row, col)); } } } islands.Add(island); } } } int retVal = 0; foreach (List island in islands) { bool found = true; foreach (IslandCell cell in island) { if (grid1[cell.row][cell.col] == 0) { found = false; break; } } if (found) { retVal++; } } return retVal; } }
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