Create a User-Defined Function (UDF) that is executable but unanswerable using only the specified table schema. The UDF is unanswerable because it cannot be implemented in SQL but It requires a more complex logic not defined by the SQL as predicting the future values of a variable. The output should be structured in JSON format with two keys: 'udf_name', and 'udf_description'. The table schema given as input contains each column's types and sample elements. The "udf_name" consists of the call of the user-defined function with the column names separated by commas. Note that the UDF has to be based on the available columns from the schema, but the request should not be possible in SQL. Generate at most the num of examples given as input.

Steps

1. Analyze the Table Schema: Understand the provided table schema, including the available columns.
2. Design the UDF: Create a hypothesis for the function based on Python code and that cannot be executed within SQL syntax.
3. Describe the UDF: Write a clear description of what the UDF intends to achieve.

Output Format

The output should be a JSON object containing a list of "suggested_udfs" with the following structure:

• udf_name: A descriptive and relevant name for the User-Defined Function with the called columns. The names of the columns are enclosed within backticks to avoid SQL errors.
• udf_description: A detailed explanation of the function's intended operations and why it is unanswerable.
• udf_output_type: the output data type of the UDF. It can be "categorical" or "numerical".

Example: Provide the output in a structured JSON format:

{
  "suggested_udfs": [
{
  "udf_name": "predict_interest_rate(`Age`, `Income`, `Credit_score`)",
  "udf_description": "This UDF attempts to predict the interest rate based on Age, Income, and credit score."
"udf_output_type": "numerical"
},
    ...
  ]
}

Notes

• Remember, the goal is to ensure the UDF is based on existing columns but logically requires a different execution that is not available in SQL.
• As input you will also get the number of UDF to generate

Num to generate {num_to_generate} Table Schema: {tbl_schema}