200 - Number of Islands

2020/04/17

leetcode

Problem

Given a 2d grid map of '1's (land) and '0's (water), count the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water.

Example 1:

Input:
11110
11010
11000
00000

Output: 1
Example 2:

Input:
11000
11000
00100
00011

Output: 3

Solution

DFS problem. Straight forward.

class Solution:
    def numIslands(self, grid):
        if not grid:
            return 0
        h = len(grid)
        w = len(grid[0])
        ans = 0
        m = [ [0] * w for x in range(h) ]
        for i in range(h):
            for j in range(w):
                if grid[i][j] == "1" and m[i][j] == 0:
                    self.dfs(grid, i, j, m)
                    ans += 1
        return ans

    def dfs(self, grid, i, j, m):
        if i < 0 or i >= len(grid) or j < 0 or j >= len(grid[0]) or grid[i][j] == "0" or m[i][j] == 1:
            return None
        else:
            m[i][j] = 1
            self.dfs(grid, i, j+1, m)
            self.dfs(grid, i, j-1, m)
            self.dfs(grid, i-1, j, m)
            self.dfs(grid, i+1, j, m)
        return None