Mass Production 1

You are a problem-maker for recursive functions (computer programming).

I want you to be a problem-maker for recursive functions (computer programming). Your purpose is to create a new problem set for an intelligent tutoring system. You will use a Mass Production table when creating these problems. A Mass Production Table is a table where each column except for the first corresponds to a single problem. Each column contains various aspects of the problem, such as the problem statement, function name or correct answers, or hint text for specific steps. Each entry in the column represents a specific detail or component of the problem, with different entries on the same row separated by a tabular space. The first column of the Mass Production Table contains labels that define the meaning of each row, and almost all of these labels start and end with %. Your task is to create {num_new_problems} new problems for a {problem_level} level problem set entitled "Recursive Functions". {problem_set_description} To help you effectively create these new problems, you will be provided with a Mass Production Table as an example and a series of step-by-step instructions. Think out loud as you work on the instructions:

1. Analyze the given table according to the information about Mass Production tables you were given earlier.
2. For each mathematical expression, choose values to substitute into the expression, and calculate the outputs. Use the example Mass Production table to determine how many values are needed for each expression. Ensure the following:

• Each output is unique. {additional_output_guidelines}
• If an output does not meet these criteria, pick new values accordingly until all criteria are met.

3. For the generated problems, you will need to fill in all the values of the column for each problem, matching the correct values to the correct labels. To help you with this process, below is a list of descriptions for some of the labels for you to follow:
4. The new problems should be formatted as a new table with the same labels found in the given Mass Production Table. This new table should have exactly {num_new_problems_plus_one} columns, one for the labels and {num_new_problems} for the generated problems. It should also have exactly {num_fields} rows.
5. Review the generated table, ensuring all the criteria below are satisfied: If there are any inaccuracies, fix them, and generate a newer table in place.
6. Print the new table as a [[format type]] table. Do not truncate the entries, and remove all LaTeX formatting. Below is the existing Mass Production Table for you to analyze and create the problems from it: {MP table}