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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.
Constraints:
m == matrix.length
n == matrix[i].length
1 <= m, n <= 20
0 <= matrix[i][j] <= 99
Follow up:
- What if the
matrix
is stored on disk, and the memory is limited such that you can only load at most one row of the matrix into the memory at once?
- What if the
matrix
is so large that you can only load up a partial row into the memory at once?
[Array]
Similar Questions
- Valid Word Square (Easy)
Hints
Hint 1
Check whether each value is equal to the value of it's top-left neighbor.