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200. 岛屿数量

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

提示:

  • m == grid.length
  • n == grid[i].length
  • 1 <= m, n <= 300
  • grid[i][j] 的值为 '0''1'.

题解 (Python)

1. 深度优先搜索

class Solution:
    def numIslands(self, grid: List[List[str]]) -> int:
        m, n = len(grid), len(grid[0])
        stack = []
        ret = 0

        for r0 in range(m):
            for c0 in range(n):
                if grid[r0][c0] == '1':
                    ret += 1
                    grid[r0][c0] = '0'
                    stack.append((r0, c0))
                    while stack:
                        r1, c1 = stack.pop()
                        for (i, j) in [(0, -1), (0, 1), (1, 0), (-1, 0)]:
                            r2, c2 = r1 + i, c1 + j
                            if 0 <= r2 < m and 0 <= c2 < n and grid[r2][c2] == '1':
                                grid[r2][c2] = '0'
                                stack.append((r2, c2))

        return ret