给定一个由 '1'(陆地)和 '0'(水)组成的的二维网格,计算岛屿的数量。一个岛被水包围,并且它是通过水平方向或垂直方向上相邻的陆地连接而成的。你可以假设网格的四个边均被水包围。
示例 1:
输入:
11110
11010
11000
00000输出: 1
示例 2:输入:
11000
11000
00100
00011输出: 3
1.dfs。遇到一个1就其上下左右4个方向进行搜索,将遍历过的1置0。最后的结果就是dfs启动的次数
2.bfs
class Solution(object):
def numIslands(self, grid):
"""
:type grid: List[List[str]]
:rtype: int
"""
if not grid:
return 0
res = 0
def dfs(grid,i,j):
if i<0 or j<0 or i>=len(grid) or j>=len(grid[0]) or grid[i][j]=='0':
return
grid[i][j]='0'
dfs(grid,i-1,j)
dfs(grid,i+1,j)
dfs(grid,i,j-1)
dfs(grid,i,j+1)
for i in range(len(grid)):
for j in range(len(grid[0])):
if grid[i][j]=='1':
res+=1
dfs(grid,i,j)
return res
class Solution:
def numIslands(self, grid: [[str]]) -> int:
def bfs(grid, i, j):
queue = [[i, j]]
while queue:
[i, j] = queue.pop(0)
if 0 <= i < len(grid) and 0 <= j < len(grid[0]) and grid[i][j] == '1':
grid[i][j] = '0'
queue += [[i + 1, j], [i - 1, j], [i, j - 1], [i, j + 1]]
count = 0
for i in range(len(grid)):
for j in range(len(grid[0])):
if grid[i][j] == '0': continue
bfs(grid, i, j)
count += 1
return count
给定一个二维的矩阵,包含 'X' 和 'O'(字母 O)。
找到所有被 'X' 围绕的区域,并将这些区域里所有的 'O' 用 'X' 填充。
示例:
X X X X
X O O X
X X O X
X O X X
运行你的函数后,矩阵变为:X X X X
X X X X
X X X X
X O X X1.和上一题一个思路,从边界开始搜索,搜索过的地方做一个标记
class Solution(object):
def solve(self, board):
"""
:type board: List[List[str]]
:rtype: None Do not return anything, modify board in-place instead.
"""
flag = [[True for _ in range(len(board[0]))] for _ in range(len(board))]
def dfs(i,j):
print(i,j)
if not 0<=i<len(board) or not 0<=j<len(board[0]) or board[i][j]=='X' or not flag[i][j]:
return
flag[i][j]=False
dfs(i-1,j)
dfs(i+1,j)
dfs(i,j-1)
dfs(i,j+1)
for i in range(len(board)):
for j in range(len(board[0])):
if (i==0 or (i==len(board)-1) or j==0 or (j==len(board[0])-1)) and board[i][j]=='O':
dfs(i,j)
for i in range(len(board)):
for j in range(len(board[0])):
if flag[i][j]:
board[i][j]='X'