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【手把手带你刷LeetCode】——10.岛屿数量(DFS)


【前言】:


今天是力扣打卡第10天!

每天进步一点点,加油啦。


【手把手带你刷LeetCode】——10.岛屿数量(DFS)_职场和发展

原题:岛屿数量

题目描述:

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

题解:


核心思想就是将‘1’的上下左右的‘1’同化成‘0’,如果不明白,先去体会代码哦


代码执行:

int numIslands(char** grid, int gridSize, int* gridColSize){
//找递归边界
if(grid == NULL || gridSize == 0)
{
return 0;
}
int row = gridSize;//行数
int col = *gridColSize;//列数
int count = 0;//用于计数
int i = 0;
int j = 0;
//遍历这个二维网格
for(i = 0; i < row; i++)
{
for(j = 0; j < col; j++)
{
if(grid[i][j] == '1')
{
count++;
//将‘1’周围的‘1’全部同化成0
dfs(grid, i, j, row, col);
}

}
}
return count;
}

void dfs(char** grid, int x, int y, int row, int col)
{
//判断特殊情况
if(x < 0 || x >= row || y < 0 || y >= col || grid[x][y] == '0')//注意哦,下标等于行数列数时也是不可以的哟,还要加上grid[x][y]是否为0这个判断条件
{
return;
}
grid[x][y] = '0';
dfs(grid, x - 1, y, row, col);
dfs(grid, x + 1, y, row, col);
dfs(grid, x, y - 1, row, col);
dfs(grid, x, y + 1, row, col);
}

 复杂度分析:


时间复杂度:O(M*N)----M和N分别代表行数和列数

空间复杂度:O(M*N)----在最坏情况下,整个网格均为陆地,深度优先搜索的深度达到 M*N


结语


今天是力扣打卡第10天!

再接再厉啦!! 

送给每一位努力的小友们!!!


【手把手带你刷LeetCode】——10.岛屿数量(DFS)_时间复杂度_02


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