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:
|   MyIndex | Date                    | type         |   year | region              | areaname            | areatype   |   zipresolve | cityresolve    | stateresolve   |
|----------:|:------------------------|:-------------|-------:|:--------------------|:--------------------|:-----------|-------------:|:---------------|:---------------|
|        26 | 2017-07-02 00:00:00.000 | organic      |   2017 | RaleighGreensboro   | RaleighGreensboro   | city       |        27601 | Raleigh        | NC             |
|         0 | 2015-12-27 00:00:00.000 | organic      |   2015 | Pittsburgh          | Pittsburgh          | city       |        15201 | Pittsburgh     | PA             |
|        51 | 2016-01-03 00:00:00.000 | conventional |   2016 | Detroit             | Detroit             | city       |        48201 | Detroit        | MI             |
|        31 | 2017-05-28 00:00:00.000 | organic      |   2017 | Boston              | Boston              | city       |         2101 | Boston         | MA             |
|        24 | 2017-07-16 00:00:00.000 | conventional |   2017 | Detroit             | Detroit             | city       |        48201 | Detroit        | MI             |
|        10 | 2015-10-18 00:00:00.000 | conventional |   2015 | StLouis             | StLouis             | city       |        63105 | Saint Louis    | MO             |
|        29 | 2017-06-11 00:00:00.000 | conventional |   2017 | Plains              | Plains              | region     |        59601 | Helena         | MT             |
|        40 | 2016-03-20 00:00:00.000 | organic      |   2016 | BaltimoreWashington | BaltimoreWashington | city       |        21201 | Baltimore      | MD             |
|        24 | 2017-07-16 00:00:00.000 | conventional |   2017 | Northeast           | Northeast           | region     |        20001 | Washington     | DC             |
|         3 | 2017-12-10 00:00:00.000 | conventional |   2017 | Pittsburgh          | Pittsburgh          | city       |        15201 | Pittsburgh     | PA             |
|        22 | 2016-07-24 00:00:00.000 | organic      |   2016 | SouthCentral        | SouthCentral        | region     |        72201 | Little Rock    | AR             |
|         8 | 2018-01-28 00:00:00.000 | conventional |   2018 | Plains              | Plains              | region     |        59601 | Helena         | MT             |
|        32 | 2016-05-15 00:00:00.000 | organic      |   2016 | Albany              | Albany              | city       |        12201 | Albany         | NY             |
|        44 | 2015-02-22 00:00:00.000 | conventional |   2015 | Spokane             | Spokane             | city       |        99201 | Spokane        | WA             |
|         3 | 2016-12-04 00:00:00.000 | organic      |   2016 | Nashville           | Nashville           | city       |        37201 | Nashville      | TN             |
|        29 | 2015-06-07 00:00:00.000 | conventional |   2015 | Seattle             | Seattle             | city       |        98060 | Seattle        | WA             |
|         2 | 2018-03-11 00:00:00.000 | conventional |   2018 | Roanoke             | Roanoke             | city       |        24001 | Roanoke        | VA             |
|         1 | 2015-12-20 00:00:00.000 | conventional |   2015 | Nashville           | Nashville           | city       |        37201 | Nashville      | TN             |
|        45 | 2017-02-19 00:00:00.000 | organic      |   2017 | Boise               | Boise               | city       |        83701 | Boise          | ID             |
|        19 | 2016-08-14 00:00:00.000 | organic      |   2016 | Roanoke             | Roanoke             | city       |        24001 | Roanoke        | VA             |
|        12 | 2017-10-08 00:00:00.000 | conventional |   2017 | Columbus            | Columbus            | city       |        43085 | Columbus       | OH             |
|         2 | 2018-03-11 00:00:00.000 | conventional |   2018 | Jacksonville        | Jacksonville        | city       |        32099 | Jacksonville   | FL             |
|        32 | 2017-05-21 00:00:00.000 | organic      |   2017 | RaleighGreensboro   | RaleighGreensboro   | city       |        27601 | Raleigh        | NC             |
|        39 | 2015-03-29 00:00:00.000 | organic      |   2015 | Charlotte           | Charlotte           | city       |        28201 | Charlotte      | NC             |
|        20 | 2017-08-13 00:00:00.000 | conventional |   2017 | Louisville          | Louisville          | city       |        40201 | Louisville     | KY             |
|         5 | 2017-11-26 00:00:00.000 | conventional |   2017 | SouthCarolina       | SouthCarolina       | region     |        29201 | Columbia       | SC             |
|        29 | 2017-06-11 00:00:00.000 | conventional |   2017 | WestTexNewMexico    | WestTexNewMexico    | region     |        87101 | Albuquerque    | NM             |
|        26 | 2015-06-28 00:00:00.000 | conventional |   2015 | Syracuse            | Syracuse            | city       |        13201 | Syracuse       | NY             |
|        42 | 2015-03-08 00:00:00.000 | conventional |   2015 | Sacramento          | Sacramento          | city       |        94203 | Sacramento     | CA             |
|        11 | 2017-10-15 00:00:00.000 | organic      |   2017 | PhoenixTucson       | PhoenixTucson       | city       |        85001 | Phoenix        | AZ             |
|        28 | 2016-06-12 00:00:00.000 | conventional |   2016 | Chicago             | Chicago             | city       |        60601 | Chicago        | IL             |
|        34 | 2015-05-03 00:00:00.000 | conventional |   2015 | SouthCarolina       | SouthCarolina       | region     |        29201 | Columbia       | SC             |
|         4 | 2017-12-03 00:00:00.000 | conventional |   2017 | Orlando             | Orlando             | city       |        32801 | Orlando        | FL             |
|        21 | 2015-08-02 00:00:00.000 | conventional |   2015 | Boise               | Boise               | city       |        83701 | Boise          | ID             |
|        49 | 2017-01-22 00:00:00.000 | conventional |   2017 | Boston              | Boston              | city       |         2101 | Boston         | MA             |
|        46 | 2016-02-07 00:00:00.000 | conventional |   2016 | Orlando             | Orlando             | city       |        32801 | Orlando        | FL             |
|         2 | 2016-12-11 00:00:00.000 | conventional |   2016 | HartfordSpringfield | HartfordSpringfield | city       |         6101 | Hartford       | CT             |
|        49 | 2015-01-18 00:00:00.000 | conventional |   2015 | Indianapolis        | Indianapolis        | city       |        46201 | Indianapolis   | IN             |
|        17 | 2015-08-30 00:00:00.000 | conventional |   2015 | Pittsburgh          | Pittsburgh          | city       |        15201 | Pittsburgh     | PA             |
|        35 | 2017-04-30 00:00:00.000 | conventional |   2017 | Houston             | Houston             | city       |        77000 | Houston        | TX             |
|        29 | 2015-06-07 00:00:00.000 | organic      |   2015 | CincinnatiDayton    | CincinnatiDayton    | city       |        45201 | Cincinnati     | OH             |
|        25 | 2017-07-09 00:00:00.000 | conventional |   2017 | NewOrleansMobile    | NewOrleansMobile    | city       |        70112 | New Orleans    | LA             |
|        33 | 2017-05-14 00:00:00.000 | organic      |   2017 | West                | West                | region     |        84101 | Salt Lake City | UT             |
|        13 | 2015-09-27 00:00:00.000 | organic      |   2015 | Portland            | Portland            | city       |        97201 | Portland       | OR             |
|        49 | 2017-01-22 00:00:00.000 | organic      |   2017 | StLouis             | StLouis             | city       |        63105 | Saint Louis    | MO             |
|        40 | 2015-03-22 00:00:00.000 | organic      |   2015 | StLouis             | StLouis             | city       |        63105 | Saint Louis    | MO             |
|        40 | 2015-03-22 00:00:00.000 | organic      |   2015 | Houston             | Houston             | city       |        77000 | Houston        | TX             |
|        10 | 2015-10-18 00:00:00.000 | organic      |   2015 | NewYork             | NewYork             | city       |        10001 | New York       | NY             |
|        12 | 2016-10-02 00:00:00.000 | conventional |   2016 | NorthernNewEngland  | NorthernNewEngland  | region     |         4330 | Augusta        | ME             |
|         5 | 2016-11-20 00:00:00.000 | conventional |   2016 | Jacksonville        | Jacksonville        | city       |        32099 | Jacksonville   | FL             |



label: region
areaname
region
areatype
region
zipresolve
region
cityresolve
region
stateresolve
output: {"Functional-Dependency": [["region", "areaname"], ["region", "areatype"], ["region", "zipresolve"], ["region", "cityresolve"], ["region", "stateresolve"]]}
labeled_fds: region
areaname
region
areatype
region
zipresolve
region
cityresolve
region
stateresolve
Date
MyIndex
source: $MMTU_HOME/resources/Relationship-finding/FD/174162106