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766. Toeplitz Matrix 👍

Approach 1: Regular

  • Time: $O(mn)$
  • Space: $O(1)$
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class Solution {
 public:
  bool isToeplitzMatrix(vector<vector<int>>& matrix) {
    for (int i = 0; i + 1 < matrix.size(); ++i)
      for (int j = 0; j + 1 < matrix[0].size(); ++j)
        if (matrix[i][j] != matrix[i + 1][j + 1])
          return false;
    return true;
  }
};

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class Solution {
  public boolean isToeplitzMatrix(int[][] matrix) {
    for (int i = 0; i + 1 < matrix.length; ++i)
      for (int j = 0; j + 1 < matrix[0].length; ++j)
        if (matrix[i][j] != matrix[i + 1][j + 1])
          return false;
    return true;
  }
}

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class Solution:
  def isToeplitzMatrix(self, matrix: list[list[int]]) -> bool:
    for i in range(len(matrix) - 1):
      for j in range(len(matrix[0]) - 1):
        if matrix[i][j] != matrix[i + 1][j + 1]:
          return False

    return True

Approach 2: Follow up 1

  • Time: $O(mn)$
  • Space: $O(n)$
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class Solution {
 public:
  bool isToeplitzMatrix(vector<vector<int>>& matrix) {
    if (matrix.empty())
      return true;

    const int m = matrix.size();
    const int n = matrix[0].size();
    vector<int> buffer(n);

    // Load the row[0] to the buffer.
    for (int j = 0; j < n; ++j)
      buffer[j] = matrix[0][j];

    // Roll the array.
    for (int i = 1; i < m; ++i) {
      for (int j = 0; j + 1 < n; ++j)
        if (buffer[j] != matrix[i][j + 1])
          return false;
      buffer = matrix[i];
    }

    return true;
  }
};

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class Solution {
  public boolean isToeplitzMatrix(int[][] matrix) {
    if (matrix.length == 0)
      return true;

    final int m = matrix.length;
    final int n = matrix[0].length;
    int[] buffer = new int[n];

    // Load the row[0] to the buffer.
    for (int j = 0; j < n; ++j)
      buffer[j] = matrix[0][j];

    // Roll the array.
    for (int i = 1; i < m; ++i) {
      for (int j = 0; j + 1 < n; ++j)
        if (buffer[j] != matrix[i][j + 1])
          return false;
      buffer = matrix[i];
    }

    return true;
  }
}