Toeplitz Matrix Problem
Description
LeetCode Problem 766.
Given an m x n matrix, returntrueif 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:
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Input: matrix = [[1,2,3,4],[5,1,2,3],[9,5,1,2]]
Output: true
Explanation:
In the above grid, thediagonals 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:
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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
Sample C++ Code
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class Solution {
public:
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;
}
};