8/28 每日一題(檢查是否是對稱矩陣 \ 左上到右下是否相等)

 

Given an m x n matrix, return true if the matrix is Toeplitz. Otherwise, return false.

A matrix is Toeplitz if every diagonal from top-left to bottom-right has the same elements.

 

Example 1:

Input: matrix = [[1,2,3,4],[5,1,2,3],[9,5,1,2]]
Output: true
Explanation:
In the above grid, the diagonals are:
"[9]", "[5, 5]", "[1, 1, 1]", "[2, 2, 2]", "[3, 3]", "[4]".
In each diagonal all elements are the same, so the answer is True.

Example 2:

Input: matrix = [[1,2],[2,2]]
Output: false
Explanation:
The diagonal "[1, 2]" has different elements.

 

class Solution:

    def isToeplitzMatrix(self, matrix: List[List[int]]) -> bool:

        m=len(matrix)

        long=len(matrix[0])

       

        for i in range(m-1):

            for j in range(long-1):

                if matrix[i][j] != matrix[i+1][j+1]:

                    return False

           

               

        return True