def complete_dyck_languages(input_text):
    # Step 1: Extract the bracket sequence from the input text.
    bracket_sequence = parse_bracket_sequence(input_text)
    print("Bracket sequence:", bracket_sequence)

    # Step 2: Initialize a stack to keep track of the opening brackets.
    stack = []

    # Step 3: Update the stack referring to the each bracket.
    for i, bracket in enumerate(bracket_sequence):
        print(f"Step {i} - bracket: {bracket}")
        stack = update_stack(stack, bracket)
        print(f"Updated stack: {stack}")

    # Step 4: Generate the rest of the sequence by popping the stack and outputting the corresponding closing bracket.
    rest_of_sequence = generate_rest_of_sequence(stack)
    print("Rest of sequence:", rest_of_sequence)

    # Step 5: Handle the stack properly to ensure that the sequence is properly balanced.
    if len(stack) == 0:
        print("Stack is empty. The sequence is properly balanced.")
    else:
        print("Stack is not empty. The sequence is not properly balanced.")

    # Step 6: Return the final answer as a string of closing brackets seperated with a space.
    return rest_of_sequence