给定一个由 '1'(陆地)和 '0'(水)组成的的二维网格,计算岛屿的数量。一个岛被水包围,并且它是通过水平方向或垂直方向上相邻的陆地连接而成的。你可以假设网格的四个边均被水包围。
示例 1:
输入:
11110
11010
11000
00000
输出: 1
示例 2:
输入:
11000
11000
00100
00011
输出: 3
来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/number-of-islands
解题思路:这里我运用了一个广度优先算法,用队列实现。
package leetcode;
import java.util.LinkedList;
import java.util.Queue;
public class NumIslands {
class Node {
int x;
int y;
Node(int x, int y) {
this.x = x;
this.y = y;
}
}
static int[] dx = {-1, 0, 1, 0};
static int[] dy = {0, -1, 0, 1};
static boolean[][] visited;
static int count = 0;
static int N;
static int M;
Queue<Node> queues = new LinkedList<>();
public int numIslands(char[][] grid) {
if (grid.length == 0) return 0;
queues.clear();
count = 0;
N = grid.length;
M = grid[0].length;
visited = new boolean[N][M];
for (int i = 0; i < N; i++) {
for (int j = 0; j < M; j++) {
if ((grid[i][j] == '1') && !visited[i][j]) {
queues.offer(new Node(i, j));
visited[i][j] = true;
bfs(grid);
count++;
}
}
}
return count;
}
private void bfs(char[][] grid) {
while (queues.size() != 0) {
Node tmp = queues.poll();
int xTmp = tmp.x;
int yTmp = tmp.y;
for (int i = 0; i < 4; i++) {
int xx = xTmp + dx[i];
int yy = yTmp + dy[i];
if (0 <= xx && xx < N && 0 <= yy && yy < M && grid[xx][yy] == '1' && !visited[xx][yy]) {
queues.offer(new Node(xx, yy));
visited[xx][yy] = true;
}
}
}
}
}
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