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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _matrix_add_column(matrix, column, default=0):
 """Given a matrix as a list of lists, add a column to the right, filling in with a default value if necessary. """

    height_difference = len(column) - len(matrix)

    # The width of the matrix is the length of its longest row.
    width = max(len(row) for row in matrix) if matrix else 0

    # For now our offset is 0. We may need to shift our column down later.
    offset = 0

    # If we need extra rows, add them to the top of the matrix.
    if height_difference > 0:
        for _ in range(height_difference):
            matrix.insert(0, [default] * width)

    # If the column is shorter, we'll need to shift it down.
    if height_difference < 0:
        offset = -height_difference
        #column = ([default] * offset) + column

    for index, value in enumerate(column):
        # The row index is the index in the column plus our offset.
        row_index = index + offset
        row = matrix[row_index]

        # If this row is short, pad it with default values.
        width_difference = width - len(row)
        row.extend([default] * width_difference)

        row.append(value)