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867. Transpose Matrix

题目

Given a 2D integer array matrix, return the transpose of matrix.

The transpose of a matrix is the matrix flipped over its main diagonal, switching the matrix's row and column indices.

 

Example 1:

Input: matrix = [[1,2,3],[4,5,6],[7,8,9]]
Output: [[1,4,7],[2,5,8],[3,6,9]]

Example 2:

Input: matrix = [[1,2,3],[4,5,6]]
Output: [[1,4],[2,5],[3,6]]

 

Constraints:

  • m == matrix.length
  • n == matrix[i].length
  • 1 <= m, n <= 1000
  • 1 <= m * n <= 105
  • -109 <= matrix[i][j] <= 109
Related Topics
  • 数组
  • 矩阵
  • 模拟

  • 👍 289
  • 👎 0
  • 思路

    解法

    py
    from typing import List
    # leetcode submit region begin(Prohibit modification and deletion)
    class Solution:
        def transpose(self, matrix: List[List[int]]) -> List[List[int]]:
            row = len(matrix)
            col = len(matrix[0])
    
            res = [[0 for _ in range(row)] for _ in range(col)]
            for i in range(row):
                for j in range(col):
                    res[j][i] = matrix[i][j]
    
            return res
    # leetcode submit region end(Prohibit modification and deletion)

    复杂度分析

    • 时间复杂度O(M * N) M = ROW, N = COL
    • 空间复杂度O(1), 返回值不计入复杂度