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:
|   FinanceKey |   DateKey |   OrganizationKey |   DepartmentGroupKey |   ScenarioKey |   AccountKey | Date                    |   AccountCodeAlternateKey | AccountDescription                     | AccountType   | Operator   | CustomMembers   | ValueType   |
|-------------:|----------:|------------------:|---------------------:|--------------:|-------------:|:------------------------|--------------------------:|:---------------------------------------|:--------------|:-----------|:----------------|:------------|
|        10888 |  20110929 |                 6 |                    7 |             1 |           46 | 2011-09-29 00:00:00.000 |                      3550 | Current Retained Earnings              | Liabilities   | +          |                 | Currency    |
|        18545 |  20120430 |                12 |                    7 |             1 |           37 | 2012-04-30 00:00:00.000 |                      2410 | Long Term Obligations                  | Liabilities   | +          |                 | Currency    |
|        25557 |  20121128 |                12 |                    1 |             1 |           87 | 2012-11-28 00:00:00.000 |                      6920 | Rent                                   | Expenditures  | +          |                 | Currency    |
|        30204 |  20130330 |                13 |                    6 |             1 |           78 | 2013-03-30 00:00:00.000 |                      6700 | Other Expenses                         | Expenditures  | +          |                 | Currency    |
|         4214 |  20110331 |                 7 |                    6 |             1 |           52 | 2011-03-31 00:00:00.000 |                      4500 | Intercompany Sales                     | Revenue       | +          |                 | Currency    |
|        22596 |  20120928 |                 3 |                    1 |             1 |           71 | 2012-09-28 00:00:00.000 |                      6300 | Conferences                            | Expenditures  | +          |                 | Currency    |
|        13575 |  20111229 |                 3 |                    7 |             1 |           34 | 2011-12-29 00:00:00.000 |                      2340 | Intercompany Payables                  | Liabilities   | +          |                 | Currency    |
|         7446 |  20110701 |                 6 |                    6 |             1 |           53 | 2011-07-01 00:00:00.000 |                      4130 | Returns and Adjustments                | Expenditures  | -          |                 | Currency    |
|         2099 |  20110129 |                 8 |                    1 |             1 |           83 | 2011-01-29 00:00:00.000 |                      6840 | Furniture and Fixtures                 | Expenditures  | +          |                 | Currency    |
|        26236 |  20121228 |                 7 |                    6 |             1 |           73 | 2012-12-28 00:00:00.000 |                      6400 | Office Supplies                        | Expenditures  | +          |                 | Currency    |
|        14610 |  20120129 |                 3 |                    7 |             1 |           78 | 2012-01-29 00:00:00.000 |                      6700 | Other Expenses                         | Expenditures  | +          |                 | Currency    |
|        21077 |  20120731 |                 6 |                    6 |             1 |           96 | 2012-07-31 00:00:00.000 |                      9510 | Headcount                              | Balances      | ~          |                 | Units       |
|        28507 |  20130228 |                 7 |                    6 |             1 |           63 | 2013-02-28 00:00:00.000 |                      6100 | Commissions                            | Expenditures  | +          |                 | Currency    |
|         2045 |  20110129 |                 7 |                    7 |             1 |           19 | 2011-01-29 00:00:00.000 |                      1220 | Buildings & Improvements               | Assets        | +          |                 | Currency    |
|         4859 |  20110501 |                 5 |                    1 |             1 |           89 | 2011-05-01 00:00:00.000 |                      8000 | Interest Income                        | Revenue       | +          |                 | Currency    |
|        16617 |  20120330 |                 3 |                    7 |             1 |           73 | 2012-03-30 00:00:00.000 |                      6400 | Office Supplies                        | Expenditures  | +          |                 | Currency    |
|        28206 |  20130228 |                 5 |                    1 |             1 |           94 | 2013-02-28 00:00:00.000 |                      8500 | Taxes                                  | Expenditures  | -          |                 | Currency    |
|         6342 |  20110531 |                 6 |                    6 |             2 |           67 | 2011-05-31 00:00:00.000 |                      6220 | Meals                                  | Expenditures  | +          |                 | Currency    |
|        35260 |  20130829 |                 6 |                    7 |             1 |           23 | 2013-08-29 00:00:00.000 |                      1260 | Construction In Progress               | Assets        | +          |                 | Currency    |
|        38007 |  20131029 |                12 |                    1 |             1 |           85 | 2013-10-29 00:00:00.000 |                      6860 | Amortization of Goodwill               | Expenditures  | +          |                 | Currency    |
|        33221 |  20130630 |                11 |                    1 |             1 |           71 | 2013-06-30 00:00:00.000 |                      6300 | Conferences                            | Expenditures  | +          |                 | Currency    |
|        30899 |  20130430 |                 8 |                    6 |             1 |           52 | 2013-04-30 00:00:00.000 |                      4500 | Intercompany Sales                     | Revenue       | +          |                 | Currency    |
|         5056 |  20110501 |                 6 |                    3 |             1 |           60 | 2011-05-01 00:00:00.000 |                      6000 | Salaries                               | Expenditures  | +          |                 | Currency    |
|        11293 |  20111029 |                 3 |                    6 |             1 |           72 | 2011-10-29 00:00:00.000 |                      6310 | Marketing Collateral                   | Expenditures  | +          |                 | Currency    |
|        33949 |  20130731 |                 6 |                    1 |             1 |           89 | 2013-07-31 00:00:00.000 |                      8000 | Interest Income                        | Revenue       | +          |                 | Currency    |
|        11471 |  20111029 |                 4 |                    6 |             2 |           66 | 2011-10-29 00:00:00.000 |                      6210 | Travel Lodging                         | Expenditures  | +          |                 | Currency    |
|          159 |  20101229 |                 3 |                    7 |             1 |           73 | 2010-12-29 00:00:00.000 |                      6400 | Office Supplies                        | Expenditures  | +          |                 | Currency    |
|        37085 |  20131029 |                 3 |                    1 |             1 |           77 | 2013-10-29 00:00:00.000 |                      6620 | Utilities                              | Expenditures  | +          |                 | Currency    |
|        12342 |  20111029 |                 8 |                    7 |             1 |          100 | 2011-10-29 00:00:00.000 |                      2220 | Current Installments of Long-term Debt | Liabilities   | +          |                 | Currency    |
|        12988 |  20111129 |                 6 |                    4 |             2 |           82 | 2011-11-29 00:00:00.000 |                      6830 | Equipment                              | Expenditures  | +          |                 | Currency    |
|        26590 |  20121228 |                11 |                    7 |             1 |           20 | 2012-12-28 00:00:00.000 |                      1230 | Machinery & Equipment                  | Assets        | +          |                 | Currency    |
|        39338 |  20131129 |                13 |                    6 |             1 |           84 | 2013-11-29 00:00:00.000 |                      6850 | Other Assets                           | Expenditures  | +          |                 | Currency    |
|        13271 |  20111129 |                 7 |                    7 |             1 |           28 | 2011-11-29 00:00:00.000 |                      2210 | Notes Payable                          | Liabilities   | +          |                 | Currency    |
|        26447 |  20121228 |                11 |                    2 |             1 |           76 | 2012-12-28 00:00:00.000 |                      6610 | Telephone                              | Expenditures  | +          |                 | Currency    |
|        35509 |  20130829 |                11 |                    1 |             1 |           87 | 2013-08-29 00:00:00.000 |                      6920 | Rent                                   | Expenditures  | +          |                 | Currency    |
|        30341 |  20130430 |                 3 |                    7 |             1 |           61 | 2013-04-30 00:00:00.000 |                      6020 | Payroll Taxes                          | Expenditures  | +          |                 | Currency    |
|         6493 |  20110531 |                 7 |                    6 |             1 |           74 | 2011-05-31 00:00:00.000 |                      6500 | Professional Services                  | Expenditures  | +          |                 | Currency    |
|        27842 |  20130128 |                12 |                    7 |             1 |           33 | 2013-01-28 00:00:00.000 |                      2330 | Warranties                             | Liabilities   | +          |                 | Currency    |
|        34330 |  20130731 |                 8 |                    7 |             1 |           38 | 2013-07-31 00:00:00.000 |                      2420 | Pension Liability                      | Liabilities   | +          |                 | Currency    |
|        13550 |  20111229 |                 3 |                    6 |             1 |           92 | 2011-12-29 00:00:00.000 |                      8030 | Other Income                           | Revenue       | +          |                 | Currency    |
|        32631 |  20130630 |                 4 |                    1 |             1 |           78 | 2013-06-30 00:00:00.000 |                      6700 | Other Expenses                         | Expenditures  | +          |                 | Currency    |
|        11901 |  20111029 |                 6 |                    5 |             1 |           78 | 2011-10-29 00:00:00.000 |                      6700 | Other Expenses                         | Expenditures  | +          |                 | Currency    |
|        11799 |  20111029 |                 6 |                    3 |             2 |           73 | 2011-10-29 00:00:00.000 |                      6400 | Office Supplies                        | Expenditures  | +          |                 | Currency    |
|        17566 |  20120430 |                 3 |                    1 |             1 |           84 | 2012-04-30 00:00:00.000 |                      6850 | Other Assets                           | Expenditures  | +          |                 | Currency    |
|        24450 |  20121028 |                11 |                    6 |             1 |           65 | 2012-10-28 00:00:00.000 |                      6200 | Travel Transportation                  | Expenditures  | +          |                 | Currency    |
|         8044 |  20110801 |                 3 |                    7 |             1 |           94 | 2011-08-01 00:00:00.000 |                      8500 | Taxes                                  | Expenditures  | -          |                 | Currency    |
|        14583 |  20120129 |                 3 |                    7 |             1 |           24 | 2012-01-29 00:00:00.000 |                      1300 | Other Assets                           | Assets        | +          |                 | Currency    |
|        17049 |  20120330 |                 7 |                    6 |             1 |           54 | 2012-03-30 00:00:00.000 |                      4140 | Discounts                              | Expenditures  | -          |                 | Currency    |
|          157 |  20101229 |                 3 |                    7 |             2 |           71 | 2010-12-29 00:00:00.000 |                      6300 | Conferences                            | Expenditures  | +          |                 | Currency    |
|         1177 |  20110129 |                 3 |                    1 |             1 |           96 | 2011-01-29 00:00:00.000 |                      9510 | Headcount                              | Balances      | ~          |                 | Units       |



label: AccountKey
AccountCodeAlternateKey
AccountKey
AccountDescription
AccountKey
AccountType
AccountKey
Operator
AccountKey
ValueType
output: {"Functional-Dependency": [["AccountKey", "AccountCodeAlternateKey"], ["AccountKey", "AccountDescription"], ["AccountKey", "AccountType"], ["AccountKey", "Operator"], ["AccountKey", "ValueType"]]}
labeled_fds: AccountKey
AccountCodeAlternateKey
AccountKey
AccountDescription
AccountKey
AccountType
AccountKey
Operator
AccountKey
ValueType
AccountDescription
AccountType
source: $MMTU_HOME/resources/Relationship-finding/FD/269521898