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如题
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
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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
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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
实现代码
使用深度优先DFS
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class Solution {
private:
void dfs(vector<vector<char>>& grid, int r, int c) {
int nr = grid.size();
int nc = grid[0].size();
grid[r][c] = '0';
if (r - 1 >= 0 && grid[r-1][c] == '1') dfs(grid, r - 1, c);
if (r + 1 < nr && grid[r+1][c] == '1') dfs(grid, r + 1, c);
if (c - 1 >= 0 && grid[r][c-1] == '1') dfs(grid, r, c - 1);
if (c + 1 < nc && grid[r][c+1] == '1') dfs(grid, r, c + 1);
}
public:
int numIslands(vector<vector<char>>& grid) {
int nr = grid.size();
if (!nr) return 0;
int nc = grid[0].size();
int num_islands = 0;
for (int r = 0; r < nr; ++r) {
for (int c = 0; c < nc; ++c) {
if (grid[r][c] == '1') {
++num_islands;
dfs(grid, r, c);
}
}
}
return num_islands;
}
};