Task: Arithmetic-Relationship (source dataset: Auto-Relate)

You are given a table with numerical values in multiple columns. Your task is to analyze the data and identify semantic relationships, expressed in arithmetic relationships, that exist between columns.

These relationships may involve any combination of the following operations: addition (+), subtraction (−), multiplication (*), and division (/). The expressions can involve two or more columns and may be nested (e.g., B = (A + C) / D).

Please only identify arithmetic relationships that hold semantically based on the data, and do not return relationships that are likely spurious, e.g., (A = B * 0), where A is an all 0 column. Please only return minimal atomic relationships, e.g., if A = B + C and D = E + F, then there is no need to return A = B + C + E + F - D.

No explanation, return all the formula(s) in JSON format: {"Arithmetic-Relationship": [<list-of-formulas>]}. If no relationship is found, return {"Arithmetic-Relationship": []}.

Input Table:
|   F | G                                                                                                                                                                                                                                                                                                                                                                        |   H |   I |     J |     K |
|----:|:-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|----:|----:|------:|------:|
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | we are a real-estate fund and as such have less onerous Form PF requirements.  In terms of SEC vs. state registration, our view is that SEC registration is preferable due to experience of staff, ease of filing and fewer filing requirements (e.g., Part 2Bs are not filed with the SEC; investment adviser representative registration is not required with the SEC. |   1 |   0 | False | False |
|   0 | Our goal is to grow our business and attract additional investors, regardless of regulatory requirements                                                                                                                                                                                                                                                                 |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   1 | Closing or not expanding to avoid certain regulations                                                                                                                                                                                                                                                                                                                    |   0 |   0 |     0 |     0 |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   0 |   0 | False | False |
|   0 | 0                                                                                                                                                                                                                                                                                                                                                                        |   1 |   0 | False | False |



labeled_formulas: I=F*H
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_95780___xlsx_c5dc39830833274dc530b47d6fb20626f492543c.xlsx___line_591