200 Number of Islands 岛屿的个数
给定 '1'(陆地)和 '0'(水)的二维网格图,计算岛屿的数量。一个岛被水包围,并且通过水平或垂直连接相邻的陆地而形成。你可以假设网格的四个边均被水包围。
示例 1:
11110
11010
11000
00000
答案: 1
示例 2:
11000
11000
00100
00011
答案: 3
详见:https://leetcode.com/problems/number-of-islands/description/
Java实现:
class Solution { public int numIslands(char[][] grid) { int m=grid.length; if(m==0||grid==null){ return 0; } int res=0; int n=grid[0].length; boolean[][] visited=new boolean[m][n]; for(int i=0;i<m;++i){ for(int j=0;j<n;++j){ if(grid[i][j]=='1'&&!visited[i][j]){ numIslandsDFS(grid,visited,i,j); ++res; } } } return res; } private void numIslandsDFS(char[][] grid,boolean[][] visited,int x,int y){ if (x < 0 || x >= grid.length || y < 0 || y >= grid[0].length || grid[x][y] != '1' || visited[x][y]){ return; } visited[x][y] = true; numIslandsDFS(grid, visited, x - 1, y); numIslandsDFS(grid, visited, x + 1, y); numIslandsDFS(grid, visited, x, y - 1); numIslandsDFS(grid, visited, x, y + 1); } }
C++实现:
class Solution { public: int numIslands(vector<vector<char> > &grid) { if (grid.empty() || grid[0].empty()) { return 0; } int m = grid.size(), n = grid[0].size(), res = 0; vector<vector<bool> > visited(m, vector<bool>(n, false)); for (int i = 0; i < m; ++i) { for (int j = 0; j < n; ++j) { if (grid[i][j] == '1' && !visited[i][j]) { numIslandsDFS(grid, visited, i, j); ++res; } } } return res; } void numIslandsDFS(vector<vector<char> > &grid, vector<vector<bool> > &visited, int x, int y) { if (x < 0 || x >= grid.size() || y < 0 || y >= grid[0].size() || grid[x][y] != '1' || visited[x][y]) { return; } visited[x][y] = true; numIslandsDFS(grid, visited, x - 1, y); numIslandsDFS(grid, visited, x + 1, y); numIslandsDFS(grid, visited, x, y - 1); numIslandsDFS(grid, visited, x, y + 1); } };