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73. Set Matrix Zeroes 👍

  • Time: $O(mn)$
  • Space: $O(1)$
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class Solution {
 public:
  void setZeroes(vector<vector<int>>& matrix) {
    const int m = matrix.size();
    const int n = matrix[0].size();
    bool shouldFillFirstRow = false;
    bool shouldFillFirstCol = false;

    for (int j = 0; j < n; ++j)
      if (matrix[0][j] == 0) {
        shouldFillFirstRow = true;
        break;
      }

    for (int i = 0; i < m; ++i)
      if (matrix[i][0] == 0) {
        shouldFillFirstCol = true;
        break;
      }

    // Store the information in the first row and the first column.
    for (int i = 1; i < m; ++i)
      for (int j = 1; j < n; ++j)
        if (matrix[i][j] == 0) {
          matrix[i][0] = 0;
          matrix[0][j] = 0;
        }

    // Fill 0s for the matrix except the first row and the first column.
    for (int i = 1; i < m; ++i)
      for (int j = 1; j < n; ++j)
        if (matrix[i][0] == 0 || matrix[0][j] == 0)
          matrix[i][j] = 0;

    // Fill 0s for the first row if needed.
    if (shouldFillFirstRow)
      for (int j = 0; j < n; ++j)
        matrix[0][j] = 0;

    // Fill 0s for the first column if needed.
    if (shouldFillFirstCol)
      for (int i = 0; i < m; ++i)
        matrix[i][0] = 0;
  }
};

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class Solution {
  public void setZeroes(int[][] matrix) {
    final int m = matrix.length;
    final int n = matrix[0].length;
    boolean shouldFillFirstRow = false;
    boolean shouldFillFirstCol = false;

    for (int j = 0; j < n; ++j)
      if (matrix[0][j] == 0) {
        shouldFillFirstRow = true;
        break;
      }

    for (int i = 0; i < m; ++i)
      if (matrix[i][0] == 0) {
        shouldFillFirstCol = true;
        break;
      }

    // Store the information in the first row and the first column.
    for (int i = 1; i < m; ++i)
      for (int j = 1; j < n; ++j)
        if (matrix[i][j] == 0) {
          matrix[i][0] = 0;
          matrix[0][j] = 0;
        }

    // Fill 0s for the matrix except the first row and the first column.
    for (int i = 1; i < m; ++i)
      for (int j = 1; j < n; ++j)
        if (matrix[i][0] == 0 || matrix[0][j] == 0)
          matrix[i][j] = 0;

    // Fill 0s for the first row if needed.
    if (shouldFillFirstRow)
      for (int j = 0; j < n; ++j)
        matrix[0][j] = 0;

    // Fill 0s for the first column if needed.
    if (shouldFillFirstCol)
      for (int i = 0; i < m; ++i)
        matrix[i][0] = 0;
  }
}

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class Solution:
  def setZeroes(self, matrix: list[list[int]]) -> None:
    m = len(matrix)
    n = len(matrix[0])
    shouldFillFirstRow = 0 in matrix[0]
    shouldFillFirstCol = 0 in list(zip(*matrix))[0]

    # Store the information in the first row and the first column.
    for i in range(1, m):
      for j in range(1, n):
        if matrix[i][j] == 0:
          matrix[i][0] = 0
          matrix[0][j] = 0

    # Fill 0s for the matrix except the first row and the first column.
    for i in range(1, m):
      for j in range(1, n):
        if matrix[i][0] == 0 or matrix[0][j] == 0:
          matrix[i][j] = 0

    # Fill 0s for the first row if needed.
    if shouldFillFirstRow:
      matrix[0] = [0] * n

    # Fill 0s for the first column if needed.
    if shouldFillFirstCol:
      for row in matrix:
        row[0] = 0