ID | Title | Difficulty | |
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1254. Number of Closed Islands
Medium
LeetCode
Array, Depth-First Search, Breadth-First Search, Union Find, Matrix
Problem
Given a 2D grid
consists of 0s
(land) and 1s
(water). An island is a maximal 4-directionally connected group of 0s
and a closed island is an island totally (all left, top, right, bottom) surrounded by 1s
.
Return the number of closed islands.
Example 1:
Input: grid = [[1,1,1,1,1,1,1,0],[1,0,0,0,0,1,1,0],[1,0,1,0,1,1,1,0],[1,0,0,0,0,1,0,1],[1,1,1,1,1,1,1,0]]
Output: 2
Explanation:
Islands in gray are closed because they are completely surrounded by water (group of 1s).
Example 2:
Input: grid = [[0,0,1,0,0],[0,1,0,1,0],[0,1,1,1,0]]
Output: 1
Example 3:
Input: grid = [[1,1,1,1,1,1,1],
[1,0,0,0,0,0,1],
[1,0,1,1,1,0,1],
[1,0,1,0,1,0,1],
[1,0,1,1,1,0,1],
[1,0,0,0,0,0,1],
[1,1,1,1,1,1,1]]
Output: 2
Constraints:
1 <= grid.length, grid[0].length <= 100
0 <= grid[i][j] <=1
Code
class Solution {
int[][] dirs = new int[][]{{-1, 0}, {1, 0}, {0, -1}, {0, 1}};
public int closedIsland(int[][] grid) {
for(int i = 0; i < grid.length; i++) {
for(int j = 0; j < grid[0].length; j++) {
if(i == 0 || j == 0 || i == grid.length - 1 || j == grid[i].length - 1) {
dfs(grid, i, j);
}
}
}
int res = 0;
for(int i = 0; i < grid.length; i++) {
for(int j = 0; j < grid[0].length; j++) {
if(grid[i][j] == 0) {
dfs(grid, i, j);
res++;
}
}
}
return res;
}
private void dfs(int[][] grid, int x, int y) {
if(x < 0 || x >= grid.length || y < 0 || y >= grid[0].length || grid[x][y] == 1) return;
grid[x][y] = 1;
for(int[] dir : dirs) {
dfs(grid, x + dir[0], y + dir[1]);
}
}
}
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