A matrix is Toeplitz if every diagonal from top-left to bottom-right has the same element.
Now given an M x N
matrix, return True
if and only if the matrix is Toeplitz.
Example 1:
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:
Input: matrix = [[1,2],[2,2]]
Output: False
Explanation:
The diagonal "[1, 2]" has different elements.
Note:
-
matrix
will be a 2D array of integers. -
matrix
will have a number of rows and columns in range[1, 20]
. -
matrix[i][j]
will be integers in range[0, 99]
.
托普利茨矩阵
没什么说法,就是无脑遍历,如果下个对角不相等,就直接返回错误。
class Solution(object):
def isToeplitzMatrix(self, matrix):
"""
:type matrix: List[List[int]]
:rtype: bool
"""
m = len(matrix)
n = len(matrix[0]) for i in range(m - 1):
for j in range(n - 1):
if matrix[i][j] != matrix[i+1][j+1]:
return False
return True