# 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.length; col++) {
if (row + 1 < matrix.length && col + 1 < matrix.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)):

if matrix[row][col] != matrix[row - 1][col - 1]:
return False

return True```
```

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