[leetcode-766-Toeplitz Matrix]

leetcode-766-Toeplitz Matrixspa

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

Now given an M x N matrix, return True if and only if the matrix is Toeplitz.
 blog

Example 1:element

Input: matrix = [[1,2,3,4],[5,1,2,3],[9,5,1,2]]
Output: True
Explanation:
1234
5123
9512

In the above grid, the diagonals are "[9]", "[5, 5]", "[1, 1, 1]", "[2, 2, 2]", "[3, 3]", "[4]", and in each diagonal all elements are the same, so the answer is True.

Example 2:leetcode

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

Note:it

  1. matrix will be a 2D array of integers.
  2. matrix will have a number of rows and columns in range [1, 20].
  3. matrix[i][j] will be integers in range [0, 99].

 思路:io

遍歷便可,看是否與左上角元素相同。class

bool isToeplitzMatrix(vector<vector<int>>& matrix) { int m  = matrix.size(), n = matrix[0].size(); for(int i=1;i<m;i++) { for(int j = 1;j<n;j++) { if(matrix[i][j] != matrix[i-1][j-1])return false; } } return true; }
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