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200. 岛屿数量

给你一个由 1(陆地)和 0(水)组成的的二维网格,请你计算网格中岛屿的数量。

岛屿总是被水包围,并且每座岛屿只能由水平方向和/或竖直方向上相邻的陆地连接形成。

此外,你可以假设该网格的四条边均被水包围。

示例 1:

输入:grid = [
  ["1","1","1","1","0"],
  ["1","1","0","1","0"],
  ["1","1","0","0","0"],
  ["0","0","0","0","0"]
]
输出:1

示例 2:

输入:grid = [
  ["1","1","0","0","0"],
  ["1","1","0","0","0"],
  ["0","0","1","0","0"],
  ["0","0","0","1","1"]
]
输出:3

提示:

  • m == grid.length

  • n == grid[i].length

  • 1 <= m, n <= 300

  • grid[i][j] 的值为 01

思路分析

0200 01
0200 02

思考题:看题解可以使用 UnionFind 来解决这个问题。可以思考一下,如何实现?

这道题与 0130-surrounded-regions.adoc 类似。

  • 一刷

  • 二刷

  • 三刷

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/**
 * Runtime: 1 ms, faster than 99.99% of Java online submissions for Number of Islands.
 *
 * Memory Usage: 42 MB, less than 41.86% of Java online submissions for Number of Islands.
 *
 * Copy from: https://leetcode-cn.com/problems/number-of-islands/solution/dao-yu-shu-liang-by-leetcode/[岛屿数量 - 岛屿数量 - 力扣(LeetCode)]
 *
 * @author D瓜哥 · https://www.diguage.com
 * @since 2020-01-25 23:42
 */
public int numIslands(char[][] grid) {
    if (Objects.isNull(grid) || grid.length == 0) {
        return 0;
    }
    int yLength = grid.length;
    int xLength = grid[0].length;
    int result = 0;
    for (int y = 0; y < yLength; y++) {
        for (int x = 0; x < xLength; x++) {
            if (grid[y][x] == '1') {
                result++;
                dfs(grid, y, x);
            }
        }
    }

    return result;
}

private void dfs(char[][] grid, int y, int x) {
    int yLength = grid.length;
    int xLength = grid[0].length;
    if (y < 0 || y >= yLength || x < 0 || x >= xLength
            || grid[y][x] == '0') {
        return;
    }
    grid[y][x] = '0';
    dfs(grid, y - 1, x);
    dfs(grid, y + 1, x);
    dfs(grid, y, x - 1);
    dfs(grid, y, x + 1);
}
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/**
 * @author D瓜哥 · https://www.diguage.com
 * @since 2024-07-11 20:04:34
 */
public int numIslands(char[][] grid) {
  if (grid == null || grid.length == 0 || grid[0].length == 0) {
    return 0;
  }
  int result = 0;
  for (int i = 0; i < grid.length; i++) {
    for (int j = 0; j < grid[i].length; j++) {
      if (grid[i][j] == '1') {
        result++;
        dfs(grid, i, j);
      }
    }
  }
  return result;
}

private void dfs(char[][] grid, int row, int col) {
  if (row < 0 || grid.length <= row
    || col < 0 || grid[0].length <= col) {
    return;
  }
  if (grid[row][col] == '0' || grid[row][col] != '1') {
    return;
  }
  grid[row][col] = '2';
  dfs(grid, row - 1, col);// 上
  dfs(grid, row + 1, col);// 下
  dfs(grid, row, col - 1); // 左
  dfs(grid, row, col + 1); // 右
}
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/**
 * @author D瓜哥 · https://www.diguage.com
 * @since 2025-04-06 15:18:59
 */
public int numIslands(char[][] grid) {
  int result = 0;

  for (int r = 0; r < grid.length; r++) {
    for (int c = 0; c < grid[r].length; c++) {
      if (grid[r][c] == '1') {
        result++;
        dfs(grid, r, c);
      }
    }
  }
  return result;
}

private void dfs(char[][] grid, int r, int c) {
  if (r < 0 || grid.length <= r
    || c < 0 || grid[r].length <= c
    || grid[r][c] != '1') {
    return;
  }
  grid[r][c] = '2';
  dfs(grid, r - 1, c);
  dfs(grid, r + 1, c);
  dfs(grid, r, c - 1);
  dfs(grid, r, c + 1);
}