Toeplitz Matrix
题目
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].
解决
- 时间复杂度为O(row * col)
- 空间复杂度为O(1)
class Solution {
public:
bool isToeplitzMatrix(vector<vector<int>>& matrix) {
int row = matrix.size();
int col = matrix[0].size();
for (int i = 1; i < row; i++) {
for (int j = 1; j < col; j++) {
if (matrix[i][j] != matrix[i - 1][j - 1]) {
return false;
}
}
}
return true;
}
};