Task: Functional-Dependency (source dataset: Auto-Relate)

Given a table represented shown below, your task is to determine functional dependencies that exist in the table. Recall that a functional dependency is a relationship where the value of one attribute (or a set of attributes), known as the determinant columns, can uniquely determines the value of another attribute, known as the dependent columns (e.g., student-ID => student-Name, car-model => car-make, employee-ID => department, etc.).

Instructions:
Analyze the provided table below, identify all functional dependencies that should semantically hold in the table. Do not produce spurious relationships that not semantically meaningful.

No explanation, format the output as a JSON object:{"Functional-Dependency": <list of functional dependencies>}. Each functional dependency should be represented as [<determinant column>, <dependent column>]

Input Table:
| Date                    | IT Dep.               | CostElement          | Country        |   Budget | Cost Element         | Cost Element Group   | Business Area   |
|:------------------------|:----------------------|:---------------------|:---------------|---------:|:---------------------|:---------------------|:----------------|
| 2020-08-01 00:00:00.000 | R1                    | Recognition          | Canada         |       33 | Recognition          | Other                | BU              |
| 2020-09-01 00:00:00.000 | Productivity          | Hardware             | Netherlands    |     5901 | Hardware             | Hardware & Software  | R&D             |
| 2020-05-01 00:00:00.000 | Help Desk             | Telecomm             | USA            |     4645 | Telecomm             | Other                | R&D             |
| 2020-07-01 00:00:00.000 | Core Infrastructure   | Vehicles             | Canada         |       23 | Vehicles             | Other                | R&D             |
| 2020-12-01 00:00:00.000 | Productivity          | Travel               | United Kingdom |     2514 | Travel               | Other                | BU              |
| 2020-10-01 00:00:00.000 | Data Centers          | Software Maintenance | United Kingdom |    11743 | Software Maintenance | Hardware & Software  | R&D             |
| 2020-09-01 00:00:00.000 | Networking            | Administrative       | USA            |  -316925 | Administrative       | Administrative       | R&D             |
| 2020-05-01 00:00:00.000 | Core Infrastructure   | Supplies             | USA            |      423 | Supplies             | Other                | R&D             |
| 2020-02-01 00:00:00.000 | Manufacturing         | Hardware             | Ireland        |       34 | Hardware             | Hardware & Software  | R&D             |
| 2020-04-01 00:00:00.000 | Manufacturing         | Other                | United Kingdom |      162 | Other                | Other                | BU              |
| 2020-10-01 00:00:00.000 | Manufacturing         | Software Maintenance | United Kingdom |       81 | Software Maintenance | Hardware & Software  | R&D             |
| 2020-10-01 00:00:00.000 | EIM                   | Hardware Maintenance | USA            |      125 | Hardware Maintenance | Hardware & Software  | R&D             |
| 2020-02-01 00:00:00.000 | Distribution          | Telecomm             | Germany        |      144 | Telecomm             | Other                | R&D             |
| 2020-07-01 00:00:00.000 | Core Infrastructure   | Hardware Maintenance | Canada         |     4578 | Hardware Maintenance | Hardware & Software  | R&D             |
| 2020-06-01 00:00:00.000 | Development           | Travel               | United Kingdom |      875 | Travel               | Other                | BU              |
| 2020-03-01 00:00:00.000 | Manufacturing         | Employee Performance | USA            |     1276 | Employee Performance | Other                | BU              |
| 2020-01-01 00:00:00.000 | Manufacturing         | Training             | Spain          |      232 | Training             | Other                | BU              |
| 2020-07-01 00:00:00.000 | Six Sigma             | Administrative       | USA            |    -2609 | Administrative       | Administrative       | R&D             |
| 2020-08-01 00:00:00.000 | Vendor Management     | Telecomm             | USA            |     2400 | Telecomm             | Other                | R&D             |
| 2020-09-01 00:00:00.000 | Distribution          | Internal Labor       | Belgium        |     7183 | Internal Labor       | Labor                | BU              |
| 2020-03-01 00:00:00.000 | Core                  | Employee Performance | USA            |       29 | Employee Performance | Other                | BU              |
| 2020-12-01 00:00:00.000 | Six Sigma             | Training             | USA            |     1577 | Training             | Other                | BU              |
| 2020-06-01 00:00:00.000 | SSO                   | Employee Performance | USA            |      160 | Employee Performance | Other                | BU              |
| 2020-03-01 00:00:00.000 | R2                    | Internal Labor       | Italy          |     3999 | Internal Labor       | Labor                | BU              |
| 2020-06-01 00:00:00.000 | Core Infrastructure   | Depreciation         | Mexico         |     4616 | Depreciation         | Depr & Amort         | R&D             |
| 2020-01-01 00:00:00.000 | Distribution          | Travel               | Canada         |      561 | Travel               | Other                | BU              |
| 2020-09-01 00:00:00.000 | Data Centers          | External Labor       | USA            |   299663 | External Labor       | Labor                | BU              |
| 2020-01-01 00:00:00.000 | Productivity          | Travel               | United Kingdom |     2514 | Travel               | Other                | BU              |
| 2020-03-01 00:00:00.000 | Emerging              | Training             | Mexico         |      858 | Training             | Other                | BU              |
| 2020-04-01 00:00:00.000 | Vendor Management     | Software             | USA            |      200 | Software             | Hardware & Software  | R&D             |
| 2020-08-01 00:00:00.000 | Emerging              | Supplies             | Mexico         |       24 | Supplies             | Other                | R&D             |
| 2020-08-01 00:00:00.000 | R2                    | Internal Labor       | United Kingdom |    98587 | Internal Labor       | Labor                | BU              |
| 2020-01-01 00:00:00.000 | Productivity          | Travel               | Belgium        |      272 | Travel               | Other                | BU              |
| 2020-05-01 00:00:00.000 | Productivity          | Supplies             | Ireland        |      313 | Supplies             | Other                | R&D             |
| 2020-05-01 00:00:00.000 | Productivity          | External Labor       | Ireland        |    19277 | External Labor       | Labor                | BU              |
| 2020-03-01 00:00:00.000 | R1                    | Hardware             | Canada         |      116 | Hardware             | Hardware & Software  | R&D             |
| 2020-12-01 00:00:00.000 | Manufacturing         | Training             | Puerto Rico    |      320 | Training             | Other                | BU              |
| 2020-06-01 00:00:00.000 | Business Intelligence | Internal Labor       | USA            |    61026 | Internal Labor       | Labor                | BU              |
| 2020-02-01 00:00:00.000 | Productivity          | Depreciation         | Netherlands    |      511 | Depreciation         | Depr & Amort         | R&D             |
| 2020-04-01 00:00:00.000 | Innovation            | Internal Labor       | USA            |    17659 | Internal Labor       | Labor                | BU              |
| 2020-06-01 00:00:00.000 | Networking            | Amortization         | USA            |     1025 | Amortization         | Depr & Amort         | R&D             |
| 2020-04-01 00:00:00.000 | Core Infrastructure   | Hardware             | USA            |       51 | Hardware             | Hardware & Software  | R&D             |
| 2020-10-01 00:00:00.000 | Manufacturing         | Hardware             | Spain          |      864 | Hardware             | Hardware & Software  | R&D             |
| 2020-12-01 00:00:00.000 | Manufacturing         | Supplies             | France         |      408 | Supplies             | Other                | R&D             |
| 2020-07-01 00:00:00.000 | Manufacturing         | Telecomm             | Brazil         |       25 | Telecomm             | Other                | R&D             |
| 2020-09-01 00:00:00.000 | Productivity          | Telecomm             | France         |     2720 | Telecomm             | Other                | R&D             |
| 2020-01-01 00:00:00.000 | Networking            | External Labor       | USA            |   242943 | External Labor       | Labor                | BU              |
| 2020-04-01 00:00:00.000 | Document Management   | Telecomm             | USA            |     2820 | Telecomm             | Other                | R&D             |
| 2020-02-01 00:00:00.000 | Distribution          | Internal Labor       | Italy          |     7183 | Internal Labor       | Labor                | BU              |
| 2020-12-01 00:00:00.000 | Document Management   | Internal Labor       | USA            |   193712 | Internal Labor       | Labor                | BU              |



label: CostElement
Cost Element
CostElement
Cost Element Group
CostElement
Business Area
output: {"Functional-Dependency": [["CostElement", "Cost Element"], ["CostElement", "Cost Element Group"], ["CostElement", "Business Area"]]}
labeled_fds: CostElement
Cost Element
CostElement
Cost Element Group
CostElement
Business Area
Budget
IT Dep.
source: $MMTU_HOME/resources/Relationship-finding/FD/184589250