• 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
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  • 原文地址:https://www.cnblogs.com/yawenw/p/12310861.html
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