leetcode542 01 Matrix 

 1 """
 2 Given a matrix consists of 0 and 1, find the distance of the nearest 0 for each cell.
 3 The distance between two adjacent cells is 1.
 4 Example 1:
 5 Input:
 6 [[0,0,0],
 7  [0,1,0],
 8  [0,0,0]]
 9 Output:
10 [[0,0,0],
11  [0,1,0],
12  [0,0,0]]
13 Example 2:
14 Input:
15 [[0,0,0],
16  [0,1,0],
17  [1,1,1]]
18 Output:
19 [[0,0,0],
20  [0,1,0],
21  [1,2,1]]
22 """
23 """
24 本题与leetcode1162题类似
25 先找出matrix中所有0的坐标,记录在队列q中，
26 并将值为1的地方赋为n+m，因为最远的距离也不会超过n+m
27 遍历q中元素q[i]，更新q[i]周围四个点的距离，
28 更新了距离的点的坐标入队，直到遍历到q的最后一个元素为止
29 """
30 class Solution:
31     def updateMatrix(self, matrix):
32         queue = []
33         m = len(matrix)  # m行
34         n = len(matrix[0]) # n列
35         for x in range(m):
36             for y in range(n):
37                 if matrix[x][y] == 0:    # 记录0所在的位置
38                     queue.append((x, y))
39                 else:
40                     matrix[x][y] = m + n  # 非0位置设为最大值
41         for x, y in queue: # 时间复杂度O(m*n*4)
42             for i, j in [(x+1, y), (x-1, y), (x, y+1), (x, y-1)]: #！！！上下左右四个方向遍历
43                 if 0 <= i < m and 0 <= j < n and matrix[x][y] + 1 < matrix[i][j]: #注意边界0<=i<m
44                     matrix[i][j] = matrix[x][y] + 1 #！！！记录距离
45                     queue.append((i, j)) #将更改后距离的位置入队
46         return matrix

 

posted @ 2020-02-15 10:48  yawenw  阅读(137)  评论(0)    收藏  举报