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:
|   OrderId |   DateOffset |   LocationId |   CustomerId | PaymentType   | ProductCode   |   DiscountApplied | ItemReturned   | OrderDate               | City           | State      |   ManagerId |
|----------:|-------------:|-------------:|-------------:|:--------------|:--------------|------------------:|:---------------|:------------------------|:---------------|:-----------|------------:|
|     17995 |          -72 |            3 |         9118 | Store Finance | a-0851t       |                 0 | False          | 2019-07-13 00:00:00.000 | Houston        | Texas      |           3 |
|     16503 |         -145 |            3 |         9163 | Card Payment  | c-0401r       |                 0 | False          | 2019-05-01 00:00:00.000 | Houston        | Texas      |           3 |
|     21752 |         -325 |            4 |         6412 | Card Payment  | ca-0311z      |                 0 | False          | 2018-11-02 00:00:00.000 | Denver         | Colorado   |           4 |
|     11975 |         -339 |            2 |         7277 | Card Payment  | c-0331r       |                 0 | False          | 2018-10-19 00:00:00.000 | Seattle        | Washington |           2 |
|     27451 |         -116 |            6 |         9029 | Card Payment  | ca-0492z      |                 0 | False          | 2019-05-30 00:00:00.000 | Atlanta        | Georgia    |           1 |
|     32135 |         -367 |            6 |         5642 | Card Payment  | a-0351t       |                 0 | False          | 2018-09-21 00:00:00.000 | Atlanta        | Georgia    |           1 |
|     15545 |         -339 |            3 |         6547 | Card Payment  | t-0222x       |                 0 | True           | 2018-10-19 00:00:00.000 | Houston        | Texas      |           3 |
|     43670 |         -213 |            9 |         6537 | Card Payment  | ca-0311z      |                 0 | False          | 2019-02-22 00:00:00.000 | Salt Lake City | Utah       |           4 |
|     20708 |          -38 |            4 |         9634 | Store Finance | c-0421r       |                 0 | True           | 2019-08-16 00:00:00.000 | Denver         | Colorado   |           4 |
|     44693 |         -111 |            9 |         4771 | Card Payment  | a-0851t       |                 0 | False          | 2019-06-04 00:00:00.000 | Salt Lake City | Utah       |           4 |
|     43286 |         -168 |            9 |         4688 | Card Payment  | l-0401s       |                 0 | False          | 2019-04-08 00:00:00.000 | Salt Lake City | Utah       |           4 |
|     36111 |         -246 |            7 |         8505 | Store Finance | ca-0351z      |                10 | True           | 2019-01-20 00:00:00.000 | Portland       | Oregon     |           2 |
|     44263 |         -310 |            9 |         8235 | Card Payment  | l-0211s       |                 0 | False          | 2018-11-17 00:00:00.000 | Salt Lake City | Utah       |           4 |
|     32293 |          -59 |            6 |         2141 | Card Payment  | c-1451r       |                 0 | False          | 2019-07-26 00:00:00.000 | Atlanta        | Georgia    |           1 |
|     33052 |          -14 |            6 |         9033 | Store Finance | ca-0391z      |                 0 | True           | 2019-09-09 00:00:00.000 | Atlanta        | Georgia    |           1 |
|     13021 |          -49 |            3 |         2577 | Card Payment  | t-0166x       |                 0 | True           | 2019-08-05 00:00:00.000 | Houston        | Texas      |           3 |
|     12799 |          -33 |            3 |          468 | Card Payment  | t-0122x       |                 0 | False          | 2019-08-21 00:00:00.000 | Houston        | Texas      |           3 |
|      2478 |         -229 |            1 |          263 | Card Payment  | t-0211x       |                 0 | False          | 2019-02-06 00:00:00.000 | Miami          | Florida    |           1 |
|     16040 |          -94 |            3 |         6918 | Card Payment  | ca-0446z      |                 0 | False          | 2019-06-21 00:00:00.000 | Houston        | Texas      |           3 |
|     20222 |          -18 |            4 |         1874 | Cash          | ca-0401z      |                 0 | False          | 2019-09-05 00:00:00.000 | Denver         | Colorado   |           4 |
|     34257 |          -93 |            7 |         5389 | Cash          | t-0144x       |                 0 | False          | 2019-06-22 00:00:00.000 | Portland       | Oregon     |           2 |
|     38741 |          -76 |            8 |         5587 | Card Payment  | a-0381t       |                 0 | False          | 2019-07-09 00:00:00.000 | Memphis        | Tennessee  |           3 |
|      9260 |         -180 |            2 |         5321 | Cash          | l-0241s       |                 5 | True           | 2019-03-27 00:00:00.000 | Seattle        | Washington |           2 |
|      9825 |         -245 |            2 |         6919 | Store Finance | l-0271s       |                 0 | True           | 2019-01-21 00:00:00.000 | Seattle        | Washington |           2 |
|     50048 |          -31 |           10 |         3180 | Card Payment  | a-0751t       |                 0 | False          | 2019-08-23 00:00:00.000 | Cincinnati     | Ohio       |           5 |
|     43574 |         -201 |            9 |         4219 | Card Payment  | ca-0394z      |                 5 | False          | 2019-03-06 00:00:00.000 | Salt Lake City | Utah       |           4 |
|     46486 |         -188 |            9 |         4053 | Card Payment  | ca-0391z      |                 0 | False          | 2019-03-19 00:00:00.000 | Salt Lake City | Utah       |           4 |
|     15813 |          -46 |            3 |         1501 | Store Finance | ca-0321z      |                 0 | False          | 2019-08-08 00:00:00.000 | Houston        | Texas      |           3 |
|     42502 |          -58 |            9 |          572 | Card Payment  | l-0401s       |                 0 | True           | 2019-07-27 00:00:00.000 | Salt Lake City | Utah       |           4 |
|     23589 |         -354 |            5 |         7666 | Card Payment  | ca-0431z      |                 0 | False          | 2018-10-04 00:00:00.000 | Baltimore      | Maryland   |           5 |
|     10933 |         -261 |            2 |         8353 | Cash          | a-0551t       |                 0 | True           | 2019-01-05 00:00:00.000 | Seattle        | Washington |           2 |
|     21561 |         -127 |            4 |         7990 | Card Payment  | ca-0492z      |                 0 | False          | 2019-05-19 00:00:00.000 | Denver         | Colorado   |           4 |
|     28059 |         -173 |            6 |         7431 | Card Payment  | t-0188x       |                 0 | True           | 2019-04-03 00:00:00.000 | Atlanta        | Georgia    |           1 |
|     31873 |         -224 |            6 |         3987 | Card Payment  | a-0551t       |                 0 | False          | 2019-02-11 00:00:00.000 | Atlanta        | Georgia    |           1 |
|     34195 |          -85 |            7 |         3254 | Store Finance | ca-0351z      |                 0 | True           | 2019-06-30 00:00:00.000 | Portland       | Oregon     |           2 |
|     13135 |          -57 |            3 |         9135 | Store Finance | ca-0311z      |                 0 | False          | 2019-07-28 00:00:00.000 | Houston        | Texas      |           3 |
|     35247 |         -299 |            7 |         4383 | Card Payment  | t-0211x       |                 0 | False          | 2018-11-28 00:00:00.000 | Portland       | Oregon     |           2 |
|     38351 |          -19 |            8 |         7021 | Card Payment  | c-1801r       |                 0 | False          | 2019-09-04 00:00:00.000 | Memphis        | Tennessee  |           3 |
|     11506 |         -152 |            2 |           79 | Store Finance | c-1387r       |                 0 | False          | 2019-04-24 00:00:00.000 | Seattle        | Washington |           2 |
|     32019 |         -319 |            6 |         9644 | Cash          | a-1951t       |                 0 | False          | 2018-11-08 00:00:00.000 | Atlanta        | Georgia    |           1 |
|     29771 |         -122 |            6 |         1021 | Card Payment  | ca-0381z      |                10 | False          | 2019-05-24 00:00:00.000 | Atlanta        | Georgia    |           1 |
|     23756 |          -82 |            5 |         4673 | Store Finance | c-1387r       |                 0 | True           | 2019-07-03 00:00:00.000 | Baltimore      | Maryland   |           5 |
|     19023 |         -152 |            3 |         2369 | Cash          | c-0441r       |                 0 | False          | 2019-04-24 00:00:00.000 | Houston        | Texas      |           3 |
|     42513 |          -61 |            9 |          447 | Store Finance | l-0231s       |                 0 | False          | 2019-07-24 00:00:00.000 | Salt Lake City | Utah       |           4 |
|     24681 |         -297 |            5 |          501 | Card Payment  | c-1501r       |                 0 | True           | 2018-11-30 00:00:00.000 | Baltimore      | Maryland   |           5 |
|      3980 |         -328 |            1 |         2875 | Card Payment  | l-0271s       |                 0 | False          | 2018-10-30 00:00:00.000 | Miami          | Florida    |           1 |
|      3844 |         -309 |            1 |         1253 | Card Payment  | l-0241s       |                 0 | False          | 2018-11-18 00:00:00.000 | Miami          | Florida    |           1 |
|     20251 |          -42 |            4 |         1023 | Card Payment  | t-0222x       |                 0 | True           | 2019-08-12 00:00:00.000 | Denver         | Colorado   |           4 |
|      8699 |         -110 |            2 |         2619 | Card Payment  | ca-0491z      |                 0 | False          | 2019-06-05 00:00:00.000 | Seattle        | Washington |           2 |
|     21242 |         -350 |            4 |         3028 | Card Payment  | a-0651t       |                 0 | False          | 2018-10-08 00:00:00.000 | Denver         | Colorado   |           4 |



label: LocationId
City
LocationId
State
LocationId
ManagerId
output: {"Functional-Dependency": [["LocationId", "City"], ["LocationId", "State"], ["LocationId", "ManagerId"]]}
labeled_fds: LocationId
City
LocationId
State
LocationId
ManagerId
OrderId
ProductCode
OrderId
ItemReturned
DateOffset
DiscountApplied
CustomerId
OrderId
CustomerId
DateOffset
CustomerId
LocationId
CustomerId
DiscountApplied
CustomerId
ItemReturned
CustomerId
OrderDate
CustomerId
State
CustomerId
ManagerId
source: $MMTU_HOME/resources/Relationship-finding/FD/110941614