Datawhale编程实践（LeetCode 腾讯精选练习50）Task7

1.螺旋矩阵https://leetcode-cn.com/problems/spiral-matrix/

看到这题我第一时间想到的也是用辅助矩阵visited，时间复杂度和空间复杂度都是O(mn)

class Solution:
    def spiralOrder(self, matrix: List[List[int]]) -> List[int]:
        if not matrix or not matrix[0]:
            return list()
        
        rows, columns = len(matrix), len(matrix[0])
        visited = [[False] * columns for _ in range(rows)]
        total = rows * columns
        order = [0] * total

        directions = [[0, 1], [1, 0], [0, -1], [-1, 0]]
        row, column = 0, 0
        directionIndex = 0
        for i in range(total):
            order[i] = matrix[row][column]
            visited[row][column] = True
            nextRow, nextColumn = row + directions[directionIndex][0], column + directions[directionIndex][1]
            if not (0 <= nextRow < rows and 0 <= nextColumn < columns and not visited[nextRow][nextColumn]):
                directionIndex = (directionIndex + 1) % 4
            row += directions[directionIndex][0]
            column += directions[directionIndex][1]
        return order

看到官方还有一个按层来模拟的方法，巧妙地省去了辅助数组，节省了空间。这里有一个疑问，答案说除了输出数组以外，空间复杂度是常数，那输出数组不算吗？

class Solution:
    def spiralOrder(self, matrix: List[List[int]]) -> List[int]:
        if not matrix or not matrix[0]:
            return list()
        
        rows, columns = len(matrix), len(matrix[0])
        order = list()
        left, right, top, bottom = 0, columns - 1, 0, rows - 1
        while left <= right and top <= bottom:
            for column in range(left, right + 1):
                order.append(matrix[top][column])
            for row in range(top + 1, bottom + 1):
                order.append(matrix[row][right])
            if left < right and top < bottom:
                for column in range(right - 1, left, -1):
                    order.append(matrix[bottom][column])
                for row in range(bottom, top, -1):
                    order.append(matrix[row][left])
            left, right, top, bottom = left + 1, right - 1, top + 1, bottom - 1
        return order

2.螺旋矩阵 IIhttps://leetcode-cn.com/problems/spiral-matrix-ii/

3.旋转链表https://leetcode-cn.com/problems/rotate-list/