Toeplitz Matrix - Google Top Interview Questions
Problem Statement :
Given a two-dimensional matrix of integers matrix, determine whether it's a Toeplitz matrix.
A Toeplitz is one where every diagonal descending from left to right has the same value.
Constraints
n, m ≤ 250 where n and m are the number of rows and columns in matrix
Example 1
Input
matrix = [
[0, 1, 2],
[3, 0, 1],
[4, 3, 0],
[5, 4, 3]
]
Output
True
Example 2
Input
matrix = [
[1, 0, 0],
[0, 0, 0],
[0, 0, 1]
]
Output
False
Solution :
Solution in C++ :
bool solve(vector<vector<int>>& matrix) {
for (int i = 0; i < matrix.size() - 1; i++) {
for (int j = 0; j < matrix[i].size() - 1; j++) {
if (matrix[i][j] != matrix[i + 1][j + 1]) return false;
}
}
return true;
}
Solution in Java :
import java.util.*;
class Solution {
public boolean solve(int[][] matrix) {
for (int row = 0; row < matrix.length; row++) {
for (int col = 0; col < matrix[0].length; col++) {
if (row + 1 < matrix.length && col + 1 < matrix[0].length) {
if (matrix[row + 1][col + 1] != matrix[row][col]) {
return false;
}
}
}
}
return true;
}
}
Solution in Python :
class Solution:
def solve(self, matrix):
for row in range(1, len(matrix)):
for col in range(1, len(matrix[0])):
if matrix[row][col] != matrix[row - 1][col - 1]:
return False
return True
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