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:
|   transaction_id |   product_id |   customer_id | transaction_date        | online_order   | order_status   | brand          | product_line   | product_class   | product_size   |   list_price |   standard_cost | product_first_sold_date   | address                       |   postcode | state    | country   |   property_valuation |
|-----------------:|-------------:|--------------:|:------------------------|:---------------|:---------------|:---------------|:---------------|:----------------|:---------------|-------------:|----------------:|:--------------------------|:------------------------------|-----------:|:---------|:----------|---------------------:|
|            16477 |           61 |          1690 | 2017-06-17 00:00:00.000 | True           | Approved       | OHM Cycles     | Standard       | low             | medium         |        71.16 |           56.93 | 2010-08-20 00:00:00.000   | 8 Northridge Drive            |       2072 | NSW      | Australia |                   10 |
|            10624 |           56 |          2241 | 2017-02-02 00:00:00.000 | True           | Approved       | Norco Bicycles | Mountain       | low             | small          |       688.63 |          612.88 | 1993-10-02 00:00:00.000   | 40062 Steensland Center       |       3977 | VIC      | Australia |                    6 |
|            11189 |           61 |          1899 | 2017-03-10 00:00:00.000 | False          | Approved       | OHM Cycles     | Standard       | low             | medium         |        71.16 |           56.93 | 1998-12-17 00:00:00.000   | 0306 Donald Court             |       3844 | VIC      | Australia |                    1 |
|            12093 |           87 |          1478 | 2017-04-13 00:00:00.000 | True           | Approved       | OHM Cycles     | Standard       | medium          | medium         |      1636.9  |           44.71 | 2010-08-20 00:00:00.000   | 12 Express Pass               |       2340 | NSW      | Australia |                    2 |
|             8549 |           80 |          2155 | 2017-06-09 00:00:00.000 | False          | Approved       | OHM Cycles     | Touring        | low             | medium         |      1073.07 |          933.84 | 1997-01-25 00:00:00.000   | 5882 American Ash Point       |       3214 | VIC      | Australia |                    3 |
|            17059 |           96 |          1166 | 2017-12-16 00:00:00.000 | False          | Approved       | WeareA2B       | Road           | low             | small          |      1172.78 |         1043.77 | 2002-10-10 00:00:00.000   | 13 Buhler Plaza               |       2576 | NSW      | Australia |                    8 |
|            12313 |           89 |          2320 | 2017-06-10 00:00:00.000 | False          | Approved       | WeareA2B       | Touring        | medium          | large          |      1362.99 |           57.74 | 1993-04-20 00:00:00.000   | 64 Macpherson Junction        |       2208 | NSW      | Australia |                   11 |
|             8500 |           19 |           458 | 2017-11-18 00:00:00.000 | True           | Approved       | OHM Cycles     | Road           | high            | large          |        12.01 |            7.21 | 1999-06-23 00:00:00.000   | 19964 Nancy Drive             |       3121 | Victoria | Australia |                    8 |
|             7634 |            0 |          3481 | 2017-03-09 00:00:00.000 | False          | Approved       | Solex          | Standard       | medium          | medium         |       441.49 |           84.99 | 1993-04-12 00:00:00.000   | 00 1st Trail                  |       3223 | VIC      | Australia |                    7 |
|            11750 |           72 |          2804 | 2017-10-28 00:00:00.000 | True           | Approved       | Norco Bicycles | Standard       | medium          | medium         |       360.4  |          270.3  | 2003-09-09 00:00:00.000   | 2 Elka Trail                  |       2770 | NSW      | Australia |                    8 |
|            17450 |           85 |           532 | 2017-02-03 00:00:00.000 | True           | Approved       | WeareA2B       | Standard       | medium          | medium         |       752.64 |          205.36 | 2015-08-02 00:00:00.000   | 39632 Michigan Park           |       4165 | QLD      | Australia |                    5 |
|             5742 |           57 |          1767 | 2017-11-21 00:00:00.000 | True           | Approved       | WeareA2B       | Touring        | medium          | large          |      1890.39 |          260.14 | 1991-01-21 00:00:00.000   | 3 Nevada Road                 |       4215 | QLD      | Australia |                    3 |
|            12490 |           46 |          3403 | 2017-02-01 00:00:00.000 | False          | Approved       | Solex          | Standard       | low             | medium         |      1289.85 |           74.51 | 2006-10-01 00:00:00.000   | 59364 Huxley Drive            |       3028 | VIC      | Australia |                    5 |
|            10638 |           73 |          3389 | 2017-03-21 00:00:00.000 | False          | Approved       | Solex          | Standard       | medium          | medium         |      1945.43 |          333.18 | 2002-08-31 00:00:00.000   | 024 Onsgard Alley             |       3134 | VIC      | Australia |                    9 |
|            12906 |           12 |           870 | 2017-05-19 00:00:00.000 | False          | Approved       | WeareA2B       | Standard       | medium          | medium         |      1231.15 |          161.6  | 2004-08-17 00:00:00.000   | 383 Rockefeller Junction      |       2753 | NSW      | Australia |                    9 |
|            10868 |           72 |          1517 | 2017-09-27 00:00:00.000 | True           | Approved       | Norco Bicycles | Standard       | medium          | medium         |       360.4  |          270.3  | 2016-12-06 00:00:00.000   | 91433 Hollow Ridge Crossing   |       2210 | NSW      | Australia |                   10 |
|            13962 |           81 |          2121 | 2017-05-01 00:00:00.000 | True           | Approved       | Norco Bicycles | Standard       | medium          | small          |       586.45 |          521.94 | 1997-08-25 00:00:00.000   | 464 Bonner Place              |       3012 | VIC      | Australia |                    8 |
|             1545 |           23 |           578 | 2017-03-12 00:00:00.000 | True           | Approved       | Norco Bicycles | Standard       | medium          | medium         |      1198.46 |          381.1  | 2005-05-10 00:00:00.000   | 4 Carioca Way                 |       3182 | Victoria | Australia |                   10 |
|             2638 |           83 |            34 | 2017-04-07 00:00:00.000 | False          | Approved       | Solex          | Touring        | medium          | large          |      2083.94 |          675.03 | 2013-09-16 00:00:00.000   | 833 Luster Way                |       4005 | QLD      | Australia |                    8 |
|            19356 |           44 |          2313 | 2017-02-14 00:00:00.000 | True           | Approved       | WeareA2B       | Standard       | medium          | medium         |      1769.64 |          108.76 | 2011-05-09 00:00:00.000   | 159 Graceland Terrace         |       4343 | QLD      | Australia |                    1 |
|            11741 |           49 |           248 | 2017-05-05 00:00:00.000 | True           | Cancelled      | Trek Bicycles  | Road           | medium          | medium         |       533.51 |          400.13 | 2012-04-10 00:00:00.000   | 122 Melrose Drive             |       2102 | NSW      | Australia |                   10 |
|            11299 |            5 |          2380 | 2017-04-04 00:00:00.000 | True           | Approved       | Trek Bicycles  | Mountain       | low             | medium         |       574.64 |          459.71 | 2004-09-28 00:00:00.000   | 4 Judy Park                   |       2016 | NSW      | Australia |                   10 |
|             8016 |           68 |          2921 | 2017-11-03 00:00:00.000 | True           | Approved       | OHM Cycles     | Standard       | medium          | medium         |      1636.9  |           44.71 | 2010-08-20 00:00:00.000   | 210 Prairie Rose Hill         |       4060 | QLD      | Australia |                    9 |
|             7061 |            9 |          3460 | 2017-02-14 00:00:00.000 | False          | Approved       | OHM Cycles     | Road           | medium          | medium         |       742.54 |          667.4  | 1991-11-07 00:00:00.000   | 33 Almo Terrace               |       3051 | VIC      | Australia |                   10 |
|             4696 |           72 |          3224 | 2017-11-09 00:00:00.000 | False          | Approved       | Norco Bicycles | Standard       | medium          | medium         |       360.4  |          270.3  | 2016-12-06 00:00:00.000   | 50506 Buhler Terrace          |       3083 | VIC      | Australia |                    8 |
|             2809 |          100 |          1522 | 2017-12-21 00:00:00.000 | True           | Approved       | Norco Bicycles | Road           | medium          | medium         |      1036.59 |          206.35 | 1991-05-06 00:00:00.000   | 79055 Moose Terrace           |       2176 | NSW      | Australia |                    9 |
|            13016 |           78 |          2464 | 2017-11-05 00:00:00.000 | False          | Approved       | Giant Bicycles | Standard       | medium          | large          |      1765.3  |          709.48 | 2004-07-25 00:00:00.000   | 3126 Butterfield Pass         |       2573 | NSW      | Australia |                    8 |
|            19516 |           71 |           231 | 2017-02-12 00:00:00.000 | False          | Approved       | Solex          | Standard       | high            | large          |      1842.92 |         1105.75 | 2002-08-31 00:00:00.000   | 11667 Blackbird Street        |       2226 | NSW      | Australia |                   10 |
|             5162 |            4 |          2336 | 2017-06-11 00:00:00.000 | True           | Approved       | Giant Bicycles | Standard       | high            | medium         |      1129.13 |          677.48 | 2005-08-09 00:00:00.000   | 366 Hovde Park                |       2566 | NSW      | Australia |                    8 |
|            12317 |           82 |           698 | 2017-10-15 00:00:00.000 | False          | Approved       | Giant Bicycles | Road           | medium          | medium         |      1538.99 |          829.65 | 2004-07-25 00:00:00.000   | 81310 Charing Cross Plaza     |       3805 | Victoria | Australia |                    7 |
|            12153 |           37 |           255 | 2017-01-29 00:00:00.000 | True           | Approved       | OHM Cycles     | Standard       | low             | medium         |      1793.43 |          248.82 | 1999-07-20 00:00:00.000   | 131 Northfield Parkway        |       3355 | VIC      | Australia |                    2 |
|             6859 |           75 |          1524 | 2017-04-09 00:00:00.000 | True           | Approved       | Giant Bicycles | Touring        | medium          | large          |      1873.97 |          863.95 | 2014-10-10 00:00:00.000   | 0534 Bartelt Trail            |       2760 | NSW      | Australia |                    8 |
|            16584 |           59 |           436 | 2017-08-28 00:00:00.000 | True           | Approved       | Solex          | Standard       | medium          | large          |      1061.56 |          733.58 | 1993-07-20 00:00:00.000   | 4 Almo Plaza                  |       2085 | NSW      | Australia |                   10 |
|            17386 |           91 |           796 | 2017-07-25 00:00:00.000 | False          | Approved       | Solex          | Standard       | medium          | medium         |       100.35 |           75.26 | 1999-07-26 00:00:00.000   | 414 Kensington Lane           |       3076 | VIC      | Australia |                    8 |
|             5560 |           82 |          1925 | 2017-05-22 00:00:00.000 | True           | Approved       | Norco Bicycles | Standard       | high            | medium         |      1148.64 |          689.18 | 2015-08-10 00:00:00.000   | 6 Upham Place                 |       4556 | QLD      | Australia |                    7 |
|             2136 |           39 |          1576 | 2017-04-16 00:00:00.000 | False          | Approved       | Giant Bicycles | Standard       | medium          | large          |      1812.75 |          582.48 | 2010-06-07 00:00:00.000   | 3525 Buena Vista Plaza        |       2120 | NSW      | Australia |                    9 |
|            12351 |            0 |          2023 | 2017-09-22 00:00:00.000 | False          | Approved       | Solex          | Standard       | medium          | large          |       202.62 |          151.96 | 2016-03-29 00:00:00.000   | 174 Calypso Crossing          |       2770 | NSW      | Australia |                    7 |
|             1736 |           53 |          1321 | 2017-03-06 00:00:00.000 | False          | Approved       | OHM Cycles     | Standard       | medium          | medium         |       795.34 |          101.58 | 1997-02-09 00:00:00.000   | 57384 Sycamore Park           |       4370 | QLD      | Australia |                    6 |
|            11317 |           29 |          2602 | 2017-04-13 00:00:00.000 | False          | Approved       | Norco Bicycles | Road           | medium          | medium         |       543.39 |          407.54 | 2016-11-22 00:00:00.000   | 10 American Alley             |       2066 | NSW      | Australia |                   12 |
|            15217 |            0 |          2203 | 2017-02-24 00:00:00.000 | True           | Approved       | Norco Bicycles | Standard       | low             | medium         |       363.01 |          290.41 | 2003-01-05 00:00:00.000   | 59929 West Alley              |       2026 | NSW      | Australia |                   10 |
|            14981 |           92 |          3164 | 2017-07-27 00:00:00.000 | True           | Approved       | WeareA2B       | Standard       | medium          | small          |      1415.01 |         1259.36 | 2002-10-10 00:00:00.000   | 09 Mitchell Terrace           |       2166 | NSW      | Australia |                    9 |
|             1090 |           44 |          2513 | 2017-08-26 00:00:00.000 | True           | Approved       | WeareA2B       | Standard       | medium          | medium         |      1769.64 |          108.76 | 2011-05-09 00:00:00.000   | 6534 New Castle Plaza         |       2033 | NSW      | Australia |                   12 |
|              705 |           50 |          2243 | 2017-03-26 00:00:00.000 | False          | Approved       | WeareA2B       | Standard       | medium          | small          |       175.89 |          131.92 | 2015-10-18 00:00:00.000   | 04488 Amoth Parkway           |       2036 | NSW      | Australia |                    8 |
|            18359 |           77 |          1371 | 2017-02-18 00:00:00.000 | True           | Approved       | Norco Bicycles | Road           | medium          | large          |      1240.31 |          795.1  | 2011-01-10 00:00:00.000   | 66 Division Pass              |       3840 | VIC      | Australia |                    1 |
|             6958 |           54 |           621 | 2017-07-15 00:00:00.000 | False          | Approved       | WeareA2B       | Standard       | medium          | medium         |      1807.45 |          778.69 | 2015-05-21 00:00:00.000   | 363 Schiller Court            |       2763 | NSW      | Australia |                    7 |
|             2742 |           64 |          1331 | 2017-08-22 00:00:00.000 | True           | Approved       | Giant Bicycles | Standard       | high            | small          |      1977.36 |         1759.85 | 2011-08-24 00:00:00.000   | 2 Dixon Crossing              |       3910 | VIC      | Australia |                    7 |
|             2039 |            0 |          2951 | 2017-09-18 00:00:00.000 | False          | Approved       | OHM Cycles     | Standard       | medium          | medium         |       183.86 |          137.9  | 1997-10-04 00:00:00.000   | 24 Green Parkway              |       3437 | VIC      | Australia |                    8 |
|             5184 |           81 |          3291 | 2017-07-16 00:00:00.000 | True           | Approved       | Norco Bicycles | Standard       | medium          | small          |       586.45 |          521.94 | 1991-07-10 00:00:00.000   | 48333 Waywood Road            |       2113 | NSW      | Australia |                   11 |
|              570 |           68 |          1396 | 2017-12-21 00:00:00.000 | True           | Approved       | OHM Cycles     | Standard       | medium          | medium         |      1636.9  |           44.71 | 2010-08-20 00:00:00.000   | 8108 Clyde Gallagher Crossing |       3756 | VIC      | Australia |                    4 |
|            16521 |           78 |          1093 | 2017-05-25 00:00:00.000 | False          | Approved       | Giant Bicycles | Standard       | medium          | large          |      1765.3  |          709.48 | 2004-07-25 00:00:00.000   | 0 Nevada Pass                 |       2216 | NSW      | Australia |                   10 |



label: customer_id
address
customer_id
postcode
customer_id
state
customer_id
country
customer_id
property_valuation
output: {"Functional-Dependency": [["customer_id", "address"], ["customer_id", "postcode"], ["customer_id", "state"], ["customer_id", "country"], ["customer_id", "property_valuation"]]}
labeled_fds: customer_id
address
customer_id
postcode
customer_id
state
customer_id
country
customer_id
property_valuation
customer_id
product_id
customer_id
online_order
customer_id
order_status
customer_id
product_first_sold_date
transaction_date
order_status
brand
order_status
product_line
order_status
list_price
order_status
list_price
standard_cost
address
transaction_id
address
customer_id
address
online_order
address
order_status
address
product_line
address
product_size
address
list_price
address
postcode
address
state
address
property_valuation
postcode
state
source: $MMTU_HOME/resources/Relationship-finding/FD/120862162