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:
| A                                           | B      |   C |   D |   E |   F |   G |
|:--------------------------------------------|:-------|----:|----:|----:|----:|----:|
| CADD/GIS Administrator                      | CGA1   |   0 |   0 |   0 |   0 |   0 |
| CADD/GIS Administrator                      | CGA2   |   0 |   0 |   0 |   0 |   0 |
| CADD/GIS Administrator                      | CGA3   |   0 |   0 |   0 |   0 |   0 |
| Continuity of Operations Specialist         | COS1   |   0 |   0 |   0 |   0 |   0 |
| Continuity of Operations Specialist         | COS2   |   0 |   0 |   0 |   0 |   0 |
| Continuity of Operations Specialist         | COS3   |   0 |   0 |   0 |   0 |   0 |
| Database Administrator                      | DBA1   |   0 |   0 |   0 |   0 |   0 |
| Database Administrator                      | DBA2   |   0 |   0 |   0 |   0 |   0 |
| Database Administrator                      | DBA3   |   0 |   0 |   0 |   0 |   0 |
| Data Entry Operator                         | DE1    |   0 |   0 |   0 |   0 |   0 |
| Data Entry Operator                         | DE2    |   0 |   0 |   0 |   0 |   0 |
| Disaster Recovery Specialist                | DRS    |   0 |   0 |   0 |   0 |   0 |
| Disaster Recovery Specialist                | DRS2   |   0 |   0 |   0 |   0 |   0 |
| Disaster Recovery Specialist                | DRS3   |   0 |   0 |   0 |   0 |   0 |
| Desktop Support Specialist                  | DSS1   |   0 |   0 |   0 |   0 |   0 |
| Desktop Support Specialist                  | DSS2   |   0 |   0 |   0 |   0 |   0 |
| Desktop Support Specialist                  | DSS3   |   0 |   0 |   0 |   0 |   0 |
| Functional Architect                        | FA1    |   0 |   0 |   0 |   0 |   0 |
| Functional Architect                        | FA2    |   0 |   0 |   0 |   0 |   0 |
| Functional Architect                        | FA3    |   0 |   0 |   0 |   0 |   0 |
| Facilitator                                 | FAC1   |   0 |   0 |   0 |   0 |   0 |
| Facilitator                                 | FAC2   |   0 |   0 |   0 |   0 |   0 |
| Facilitator                                 | FAC3   |   0 |   0 |   0 |   0 |   0 |
| Help Desk Analyst                           | HDA1   |   0 |   0 |   0 |   0 |   0 |
| Help Desk Analyst                           | HDA2   |   0 |   0 |   0 |   0 |   0 |
| Help Desk Analyst                           | HDA3   |   0 |   0 |   0 |   0 |   0 |
| IT Security Administrator                   | ISA1   |   0 |   0 |   0 |   0 |   0 |
| IT Security Administrator                   | ISA2   |   0 |   0 |   0 |   0 |   0 |
| IT Security Administrator                   | ISA3   |   0 |   0 |   0 |   0 |   0 |
| Network Administrator                       | NA1    |   0 |   0 |   0 |   0 |   0 |
| Network Administrator                       | NA2    |   0 |   0 |   0 |   0 |   0 |
| Network Administrator                       | NA3    |   0 |   0 |   0 |   0 |   0 |
| Organizational Change Management Specialist | OCM1   |   0 |   0 |   0 |   0 |   0 |
| Organizational Change Management Specialist | OCM2   |   0 |   0 |   0 |   0 |   0 |
| Organizational Change Management Specialist | OCM3   |   0 |   0 |   0 |   0 |   0 |
| Planning Manager                            | PLAN1  |   0 |   0 |   0 |   0 |   0 |
| Planning Manager                            | PLAN2  |   0 |   0 |   0 |   0 |   0 |
| Planning Manager                            | PLAN3  |   0 |   0 |   0 |   0 |   0 |
| Project Manager                             | PM1    |   0 |   0 |   0 |   0 |   0 |
| Project Manager                             | PM2    |   0 |   0 |   0 |   0 |   0 |
| Project Manager                             | PM3    |   0 |   0 |   0 |   0 |   0 |
| Project Management Specialist               | PMS1   |   0 |   0 |   0 |   0 |   0 |
| Project Management Specialist               | PMS2   |   0 |   0 |   0 |   0 |   0 |
| Project Management Specialist               | PMS3   |   0 |   0 |   0 |   0 |   0 |
| Programmer                                  | PR1    |   0 |   0 |   0 |   0 |   0 |
| Programmer                                  | PR2    |   0 |   0 |   0 |   0 |   0 |
| Programmer                                  | PR3    |   0 |   0 |   0 |   0 |   0 |
| Programmer                                  | PR4    |   0 |   0 |   0 |   0 |   0 |
| Product Specialist                          | PS1    |   0 |   0 |   0 |   0 |   0 |
| Product Specialist                          | PS2    |   0 |   0 |   0 |   0 |   0 |
| Product Specialist                          | PS3    |   0 |   0 |   0 |   0 |   0 |
| Quality Acceptance Analyst                  | QAA1   |   0 |   0 |   0 |   0 |   0 |
| Quality Acceptance Analyst                  | QAA2   |   0 |   0 |   0 |   0 |   0 |
| Quality Acceptance Analyst                  | QAA3   |   0 |   0 |   0 |   0 |   0 |
| Quality Assurance Specialist                | QAS1   |   0 |   0 |   0 |   0 |   0 |
| Quality Assurance Specialist                | QAS2   |   0 |   0 |   0 |   0 |   0 |
| Quality Assurance Specialist                | QAS3   |   0 |   0 |   0 |   0 |   0 |
| System Administrator                        | SA1    |   0 |   0 |   0 |   0 |   0 |
| System Administrator                        | SA2    |   0 |   0 |   0 |   0 |   0 |
| System Administrator                        | SA3    |   0 |   0 |   0 |   0 |   0 |
| Senior Architect                            | SAR1   |   0 |   0 |   0 |   0 |   0 |
| Senior Business Subject Matter Expert       | SBSME1 |   0 |   0 |   0 |   0 |   0 |
| Service Desk 2                              | SD2    |   0 |   0 |   0 |   0 |   0 |
| Service Desk 3                              | SD3    |   0 |   0 |   0 |   0 |   0 |
| Senior Database Architect                   | SDA1   |   0 |   0 |   0 |   0 |   0 |
| Senior Project Manager                      | SPM1   |   0 |   0 |   0 |   0 |   0 |
| Senior Project Management Specialist        | SPMS1  |   0 |   0 |   0 |   0 |   0 |
| Senior Project Management Specialist        | SPMS2  |   0 |   0 |   0 |   0 |   0 |
| Senior Project Management Specialist        | SPMS3  |   0 |   0 |   0 |   0 |   0 |
| Software Process Engineer                   | SPS1   |   0 |   0 |   0 |   0 |   0 |
| Software Process Engineer                   | SPS2   |   0 |   0 |   0 |   0 |   0 |
| Software Process Engineer                   | SPS3   |   0 |   0 |   0 |   0 |   0 |
| System Specialist                           | SS1    |   0 |   0 |   0 |   0 |   0 |
| System Specialist                           | SS2    |   0 |   0 |   0 |   0 |   0 |
| System Specialist                           | SS3    |   0 |   0 |   0 |   0 |   0 |
| Technical Architecture Specialist           | TAS1   |   0 |   0 |   0 |   0 |   0 |
| Technical Architecture Specialist           | TAS2   |   0 |   0 |   0 |   0 |   0 |
| Technical Architecture Specialist           | TAS3   |   0 |   0 |   0 |   0 |   0 |
| Telecom Engineer                            | TE1    |   0 |   0 |   0 |   0 |   0 |
| Telecom Engineer                            | TE2    |   0 |   0 |   0 |   0 |   0 |
| Telecom Engineer                            | TE3    |   0 |   0 |   0 |   0 |   0 |
| Tester                                      | Test1  |   0 |   0 |   0 |   0 |   0 |
| Tester                                      | Test2  |   0 |   0 |   0 |   0 |   0 |
| Tester                                      | Test3  |   0 |   0 |   0 |   0 |   0 |
| Team Lead                                   | TL1    |   0 |   0 |   0 |   0 |   0 |
| Team Lead                                   | TL2    |   0 |   0 |   0 |   0 |   0 |
| Technical Writer                            | TW1    |   0 |   0 |   0 |   0 |   0 |
| Technical Writer                            | TW2    |   0 |   0 |   0 |   0 |   0 |
| Technical Writer                            | TW3    |   0 |   0 |   0 |   0 |   0 |
| Video Conference Specialist                 | VCS1   |   0 |   0 |   0 |   0 |   0 |
| Video Conference Specialist                 | VCS2   |   0 |   0 |   0 |   0 |   0 |
| Voice/Data Engineer                         | VDE1   |   0 |   0 |   0 |   0 |   0 |
| Voice/Data Engineer                         | VDE2   |   0 |   0 |   0 |   0 |   0 |
| Voice/Data Engineer                         | VDE3   |   0 |   0 |   0 |   0 |   0 |



label: F=C+E
G=D+E
labeled_formulas: F=C+E
G=D+E
output: {"Arithmetic-Relationship": ["F=C+E", "G=D+E"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_612764___xlsx_e031a8cc4b04089fe21143d4063b66e25c96800a.xlsx___line_773