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:
| OrderNumber   | OrderDate               | Ship Date               |   Customer Name Index | Channel     | Currency Code   | Warehouse Code   |   Delivery Region Index |   Product Description Index |   Order Quantity |   Total Unit Price |   Total Unit Cost |   Total Revenue |   Index | Suburb             | City             |   Postcode |   Longitude |   Latitude | Full Address                                 |
|:--------------|:------------------------|:------------------------|----------------------:|:------------|:----------------|:-----------------|------------------------:|----------------------------:|-----------------:|-------------------:|------------------:|----------------:|--------:|:-------------------|:-----------------|-----------:|------------:|-----------:|:---------------------------------------------|
| SO - 0006667  | 2021-09-30 00:00:00.000 | 2021-12-26 00:00:00.000 |                    42 | Distributor | AUD             | GUT930           |                      36 |                          12 |               10 |             1996.6 |          1078.16  |         19966   |      36 | Milson             | Palmerston North |       4414 |     175.604 |   -40.3256 | Delta Place, Milson, Palmerston North        |
| SO - 0002848  | 2020-07-03 00:00:00.000 | 2020-09-28 00:00:00.000 |                    22 | Wholesale   | AUD             | AXW291           |                       3 |                          11 |                5 |             5078.6 |          3351.88  |         25393   |       3 | Northcote          | North Shore      |        627 |     174.756 |   -36.8047 | McBreen Avenue, Northcote, North Shore       |
| SO - 0004954  | 2021-03-14 00:00:00.000 | 2021-06-06 00:00:00.000 |                     3 | Distributor | AUD             | AXW291           |                      15 |                          11 |               12 |             2552.7 |          1072.13  |         30632.4 |      15 | Frimley            | Hastings         |       4120 |     176.832 |   -39.6213 | Hart Drive, Frimley, Hastings                |
| SO - 0004401  | 2021-01-06 00:00:00.000 | 2021-02-13 00:00:00.000 |                    24 | Wholesale   | EUR             | NXH382           |                      54 |                           1 |                9 |             1025.1 |           512.55  |          9225.9 |      54 | Cashmere           | Christchurch     |       8022 |     172.638 |   -43.5839 | Victoria Park Road, Cashmere, Christchurch   |
| SO - 0002623  | 2020-06-06 00:00:00.000 | 2020-08-05 00:00:00.000 |                    20 | Export      | NZD             | AXW291           |                      29 |                           7 |                9 |             1869.3 |          1177.66  |         16823.7 |      29 | Timaru Central     | Timaru           |       7910 |     171.249 |   -44.3948 | Elizabeth Place, Timaru Central, Timaru      |
| SO - 0002663  | 2020-06-12 00:00:00.000 | 2020-09-05 00:00:00.000 |                    13 | Wholesale   | USD             | AXW291           |                      26 |                           4 |                5 |             1031.8 |           701.624 |          5159   |      26 | Kawakawa           | Far North        |        210 |     174.06  |   -35.384  | Flaxmere Place, Kawakawa, Far North          |
| SO - 0006808  | 2021-10-16 00:00:00.000 | 2021-12-11 00:00:00.000 |                    20 | Wholesale   | NZD             | GUT930           |                      34 |                           7 |                8 |             3819   |          2978.82  |         30552   |      34 | Kingsland          | Auckland         |       1021 |     174.731 |   -36.8732 | Western Springs Road, Kingsland, Auckland    |
| SO - 0001802  | 2020-03-04 00:00:00.000 | 2020-04-20 00:00:00.000 |                     9 | Distributor | USD             | AXW291           |                       1 |                          13 |                9 |             1159.1 |           533.186 |         10431.9 |       1 | Freemans Bay       | Auckland         |       1011 |     174.749 |   -36.8557 | Picton Street, Freemans Bay, Auckland        |
| SO - 000325   | 2019-09-10 00:00:00.000 | 2019-11-24 00:00:00.000 |                     4 | Wholesale   | USD             | GUT930           |                      32 |                          11 |                9 |             1078.7 |           722.729 |          9708.3 |      32 | Dinsdale           | Hamilton         |       3204 |     175.25  |   -37.8012 | Sheila Place, Dinsdale, Hamilton             |
| SO - 0002942  | 2020-07-13 00:00:00.000 | 2020-10-01 00:00:00.000 |                    17 | Distributor | NZD             | NXH382           |                      57 |                          11 |                9 |             1788.9 |          1413.23  |         16100.1 |      57 | Cambridge          | Waipa            |       3434 |     175.462 |   -37.8819 | Everest Lane, Cambridge, Waipa               |
| SO - 0001001  | 2019-11-27 00:00:00.000 | 2020-02-24 00:00:00.000 |                    46 | Export      | USD             | AXW291           |                      22 |                          13 |                8 |              174.2 |           101.036 |          1393.6 |      22 | Stewart Island     | Southland        |       9818 |     168.143 |   -46.9053 | Ringaringa Road, Stewart Island, Southland   |
| SO - 000182   | 2019-08-24 00:00:00.000 | 2019-10-08 00:00:00.000 |                    34 | Wholesale   | USD             | GUT930           |                      46 |                          11 |                5 |              167.5 |            90.45  |           837.5 |      46 | Tapanui            | Clutha           |       9522 |     169.261 |   -45.9477 | Boundary Street, Tapanui, Clutha             |
| SO - 0006106  | 2021-07-28 00:00:00.000 | 2021-09-19 00:00:00.000 |                    24 | Wholesale   | NZD             | AXW291           |                       6 |                          10 |                9 |             3886   |          2059.58  |         34974   |       6 | Hamilton East      | Hamilton         |       3216 |     175.305 |   -37.7817 | Rochford Court, Hamilton, Hamilton           |
| SO - 0007674  | 2022-01-25 00:00:00.000 | 2022-04-01 00:00:00.000 |                    28 | Wholesale   | GBP             | AXW291           |                       8 |                           2 |                6 |             1728.6 |          1382.88  |         10371.6 |       8 | Opaheke            | Papakura         |       2113 |     174.948 |   -37.0774 | Rhonda Place, Opaheke, Papakura              |
| SO - 0003867  | 2020-10-30 00:00:00.000 | 2021-01-02 00:00:00.000 |                    20 | Wholesale   | USD             | GUT930           |                      45 |                           5 |               11 |             5313.1 |          2125.24  |         58444.1 |      45 | South Hill         | Waitaki          |       9400 |     170.96  |   -45.1134 | Maude Street, South Hill, Waitaki            |
| SO - 0004307  | 2020-12-25 00:00:00.000 | 2021-03-22 00:00:00.000 |                    15 | Distributor | NZD             | GUT930           |                      39 |                           9 |                6 |             5360   |          3644.8   |         32160   |      39 | Rototuna           | Hamilton         |       3210 |     175.271 |   -37.7369 | Drumfearn Place, Rototuna, Hamilton          |
| SO - 0005505  | 2021-05-14 00:00:00.000 | 2021-07-19 00:00:00.000 |                    46 | Wholesale   | NZD             | GUT930           |                      39 |                           2 |                6 |             1802.3 |          1315.68  |         10813.8 |      39 | Rototuna           | Hamilton         |       3210 |     175.271 |   -37.7369 | Drumfearn Place, Rototuna, Hamilton          |
| SO - 0004893  | 2021-03-07 00:00:00.000 | 2021-04-23 00:00:00.000 |                    11 | Wholesale   | AUD             | NXH382           |                      48 |                           5 |                8 |             3376.8 |          1857.24  |         27014.4 |      48 | Henderson          | Waitakere        |        612 |     174.612 |   -36.8903 | San Ignacio Court, Henderson, Waitakere      |
| SO - 0001941  | 2020-03-16 00:00:00.000 | 2020-05-09 00:00:00.000 |                    34 | Distributor | NZD             | GUT930           |                      32 |                          11 |               12 |             1038.5 |           581.56  |         12462   |      32 | Dinsdale           | Hamilton         |       3204 |     175.25  |   -37.8012 | Sheila Place, Dinsdale, Hamilton             |
| SO - 0001144  | 2019-12-13 00:00:00.000 | 2020-01-12 00:00:00.000 |                    38 | Wholesale   | NZD             | GUT930           |                      41 |                          11 |                8 |             2579.5 |          2089.39  |         20636   |      41 | Port Taranaki      | New Plymouth     |       4310 |     174.037 |   -39.0624 | Breakwater Road, Port Taranaki, New Plymouth |
| SO - 0004442  | 2021-01-12 00:00:00.000 | 2021-03-26 00:00:00.000 |                    50 | Distributor | NZD             | GUT930           |                      45 |                          11 |                7 |             1132.3 |           758.641 |          7926.1 |      45 | South Hill         | Waitaki          |       9400 |     170.96  |   -45.1134 | Maude Street, South Hill, Waitaki            |
| SO - 0003268  | 2020-08-17 00:00:00.000 | 2020-11-07 00:00:00.000 |                    14 | Distributor | USD             | GUT930           |                      42 |                           2 |               10 |              221.1 |           187.935 |          2211   |      42 | Okitu              | Gisborne         |       4010 |     178.079 |   -38.6752 | Williamson Street, Okitu, Gisborne           |
| SO - 0005751  | 2021-06-15 00:00:00.000 | 2021-08-23 00:00:00.000 |                    29 | Wholesale   | NZD             | AXW291           |                       1 |                           2 |                5 |             1943   |          1651.55  |          9715   |       1 | Freemans Bay       | Auckland         |       1011 |     174.749 |   -36.8557 | Picton Street, Freemans Bay, Auckland        |
| SO - 0005204  | 2021-04-10 00:00:00.000 | 2021-05-22 00:00:00.000 |                     3 | Wholesale   | GBP             | AXW291           |                      12 |                           5 |                7 |             5427   |          2170.8   |         37989   |      12 | Henderson          | Waitakere        |        610 |     174.634 |   -36.8704 | Hoya Court, Henderson, Waitakere             |
| SO - 0002500  | 2020-05-21 00:00:00.000 | 2020-07-26 00:00:00.000 |                    25 | Distributor | NZD             | FLR025           |                      62 |                           3 |                6 |             1018.4 |           519.384 |          6110.4 |      62 | Hunterville        | Rangitikei       |       4730 |     175.565 |   -39.9271 | Houpunui Road, Hunterville, Rangitikei       |
| SO - 0003088  | 2020-07-29 00:00:00.000 | 2020-09-27 00:00:00.000 |                    42 | Distributor | USD             | GUT930           |                      35 |                           1 |               12 |             6445.4 |          2835.98  |         77344.8 |      35 | Takaro             | Palmerston North |       4412 |     175.592 |   -40.3469 | Tiki Place, Takaro, Palmerston North         |
| SO - 0007308  | 2021-12-15 00:00:00.000 | 2022-03-06 00:00:00.000 |                    24 | Wholesale   | NZD             | NXH382           |                      49 |                          11 |                9 |             1085.4 |           510.138 |          9768.6 |      49 | Cannons Creek      | Porirua          |       5024 |     174.872 |   -41.1347 | Fantame Street, Cannons Creek, Porirua       |
| SO - 000531   | 2019-10-04 00:00:00.000 | 2019-11-14 00:00:00.000 |                    33 | Wholesale   | EUR             | AXW291           |                       2 |                           4 |                6 |             1172.5 |           809.025 |          7035   |       2 | Nightcaps          | Southland        |       9630 |     168.029 |   -45.9703 | Lyne Street, Nightcaps, Southland            |
| SO - 0008077  | 2022-03-13 00:00:00.000 | 2022-06-01 00:00:00.000 |                    39 | Wholesale   | USD             | AXW291           |                      16 |                           1 |               11 |              227.8 |           150.348 |          2505.8 |      16 | Harrowfield        | Hamilton         |       3210 |     175.267 |   -37.7426 | Wairere Drive, Pukete, Hamilton              |
| SO - 0006032  | 2021-07-18 00:00:00.000 | 2021-09-21 00:00:00.000 |                    15 | Distributor | NZD             | AXW291           |                      12 |                          11 |                5 |              777.2 |           349.74  |          3886   |      12 | Henderson          | Waitakere        |        610 |     174.634 |   -36.8704 | Hoya Court, Henderson, Waitakere             |
| SO - 0006245  | 2021-08-12 00:00:00.000 | 2021-10-21 00:00:00.000 |                    18 | Wholesale   | AUD             | AXW291           |                      31 |                          13 |                9 |              998.3 |           718.776 |          8984.7 |      31 | Te Atatu Peninsula | Waitakere        |        610 |     174.655 |   -36.8439 | Siena Place, Te Atatu Peninsula, Waitakere   |
| SO - 0006499  | 2021-09-11 00:00:00.000 | 2021-11-30 00:00:00.000 |                    44 | Wholesale   | NZD             | NXH382           |                      60 |                           1 |                5 |             3450.5 |          1725.25  |         17252.5 |      60 | Regent             | Whangarei        |        112 |     174.322 |   -35.7199 | Norfolk Street, Regent, Whangarei            |
| SO - 0007081  | 2021-11-18 00:00:00.000 | 2021-12-20 00:00:00.000 |                    45 | Wholesale   | NZD             | AXW291           |                      17 |                          12 |                7 |              911.2 |           646.952 |          6378.4 |      17 | Tapanui            | Clutha           |       9522 |     169.263 |   -45.9421 | Sussex Street, Tapanui, Clutha               |
| SO - 0004049  | 2020-11-23 00:00:00.000 | 2021-01-11 00:00:00.000 |                    34 | Wholesale   | NZD             | NXH382           |                      52 |                           2 |                7 |             3048.5 |          1219.4   |         21339.5 |      52 | Otaki Beach        | Kapiti Coast     |       5512 |     175.117 |   -40.7431 | Health Camp Road, Otaki Beach, Kapiti Coast  |
| SO - 0003308  | 2020-08-23 00:00:00.000 | 2020-09-22 00:00:00.000 |                    19 | Wholesale   | AUD             | AXW291           |                      14 |                           2 |                6 |              167.5 |            93.8   |          1005   |      14 | Pleasant Point     | Timaru           |       7903 |     171.123 |   -44.2589 | Runa Terrace, Pleasant Point, Timaru         |
| SO - 0004037  | 2020-11-22 00:00:00.000 | 2021-02-09 00:00:00.000 |                    48 | Distributor | NZD             | GUT930           |                      44 |                           2 |               11 |             2298.1 |          1034.14  |         25279.1 |      44 | Dannevirke         | Tararua          |       4930 |     176.101 |   -40.2097 | Allardice Street, Dannevirke, Tararua        |
| SO - 0005127  | 2021-04-01 00:00:00.000 | 2021-05-28 00:00:00.000 |                    14 | Wholesale   | NZD             | FLR025           |                      61 |                           2 |                5 |              227.8 |           148.07  |          1139   |      61 | Georgetown         | Invercargill     |       9812 |     168.372 |   -46.4189 | Hope Street, Georgetown, Invercargill        |
| SO - 0003366  | 2020-08-30 00:00:00.000 | 2020-11-06 00:00:00.000 |                    45 | Wholesale   | NZD             | AXW291           |                      28 |                           1 |                8 |             2539.3 |          1929.87  |         20314.4 |      28 | Napier South       | Napier           |       4110 |     176.903 |   -39.4939 | Normans Lane, Napier South, Napier           |
| SO - 0006323  | 2021-08-19 00:00:00.000 | 2021-09-21 00:00:00.000 |                    39 | Wholesale   | NZD             | GUT930           |                      42 |                           7 |                8 |             2525.9 |          1010.36  |         20207.2 |      42 | Okitu              | Gisborne         |       4010 |     178.079 |   -38.6752 | Williamson Street, Okitu, Gisborne           |
| SO - 0001682  | 2020-02-19 00:00:00.000 | 2020-04-10 00:00:00.000 |                    22 | Distributor | NZD             | AXW291           |                       7 |                          11 |                5 |             1118.9 |           716.096 |          5594.5 |       7 | Te Kuiti           | Waitomo          |       3910 |     175.163 |   -38.331  | Alexandra Street, Te Kuiti, Waitomo          |
| SO - 0005773  | 2021-06-17 00:00:00.000 | 2021-08-30 00:00:00.000 |                    33 | Wholesale   | NZD             | GUT930           |                      38 |                           1 |               12 |             3939.6 |          2481.95  |         47275.2 |      38 | Matua              | Tauranga         |       3110 |     176.118 |   -37.6676 | Weka Street, Matua, Tauranga                 |
| SO - 0005800  | 2021-06-20 00:00:00.000 | 2021-08-26 00:00:00.000 |                     3 | Wholesale   | NZD             | AXW291           |                       8 |                          11 |                9 |             4006.6 |          3325.48  |         36059.4 |       8 | Opaheke            | Papakura         |       2113 |     174.948 |   -37.0774 | Rhonda Place, Opaheke, Papakura              |
| SO - 0007320  | 2021-12-16 00:00:00.000 | 2022-02-05 00:00:00.000 |                    16 | Wholesale   | NZD             | AXW291           |                      16 |                           2 |                5 |             1118.9 |           794.419 |          5594.5 |      16 | Harrowfield        | Hamilton         |       3210 |     175.267 |   -37.7426 | Wairere Drive, Pukete, Hamilton              |
| SO - 000174   | 2019-08-22 00:00:00.000 | 2019-11-02 00:00:00.000 |                     7 | Distributor | EUR             | AXW291           |                      26 |                          11 |               10 |             2659.9 |          2154.52  |         26599   |      26 | Kawakawa           | Far North        |        210 |     174.06  |   -35.384  | Flaxmere Place, Kawakawa, Far North          |
| SO - 0001326  | 2020-01-08 00:00:00.000 | 2020-03-31 00:00:00.000 |                     3 | Distributor | NZD             | AXW291           |                       1 |                          11 |               12 |              201   |           152.76  |          2412   |       1 | Freemans Bay       | Auckland         |       1011 |     174.749 |   -36.8557 | Picton Street, Freemans Bay, Auckland        |
| SO - 0007529  | 2022-01-09 00:00:00.000 | 2022-02-10 00:00:00.000 |                     3 | Distributor | GBP             | AXW291           |                      31 |                          11 |                5 |             5165.7 |          4235.87  |         25828.5 |      31 | Te Atatu Peninsula | Waitakere        |        610 |     174.655 |   -36.8439 | Siena Place, Te Atatu Peninsula, Waitakere   |
| SO - 0003836  | 2020-10-27 00:00:00.000 | 2020-12-22 00:00:00.000 |                    12 | Export      | NZD             | AXW291           |                      17 |                          13 |                7 |              207.7 |           114.235 |          1453.9 |      17 | Tapanui            | Clutha           |       9522 |     169.263 |   -45.9421 | Sussex Street, Tapanui, Clutha               |
| SO - 0004891  | 2021-03-07 00:00:00.000 | 2021-04-13 00:00:00.000 |                    36 | Wholesale   | NZD             | AXW291           |                      17 |                           2 |                5 |              194.3 |           161.269 |           971.5 |      17 | Tapanui            | Clutha           |       9522 |     169.263 |   -45.9421 | Sussex Street, Tapanui, Clutha               |
| SO - 0005927  | 2021-07-06 00:00:00.000 | 2021-09-21 00:00:00.000 |                    19 | Wholesale   | GBP             | GUT930           |                      41 |                           8 |                9 |              221.1 |           161.403 |          1989.9 |      41 | Port Taranaki      | New Plymouth     |       4310 |     174.037 |   -39.0624 | Breakwater Road, Port Taranaki, New Plymouth |
| SO - 0002005  | 2020-03-21 00:00:00.000 | 2020-06-11 00:00:00.000 |                     2 | Wholesale   | USD             | GUT930           |                      34 |                           7 |               10 |             1922.9 |           846.076 |         19229   |      34 | Kingsland          | Auckland         |       1021 |     174.731 |   -36.8732 | Western Springs Road, Kingsland, Auckland    |



label: Delivery Region Index
Index
Delivery Region Index
Suburb
Delivery Region Index
City
Delivery Region Index
Postcode
Delivery Region Index
Longitude
Delivery Region Index
Latitude
Delivery Region Index
Full Address
output: {"Functional-Dependency": [["Delivery Region Index", "Index"], ["Delivery Region Index", "Suburb"], ["Delivery Region Index", "City"], ["Delivery Region Index", "Postcode"], ["Delivery Region Index", "Longitude"], ["Delivery Region Index", "Latitude"], ["Delivery Region Index", "Full Address"]]}
labeled_fds: Delivery Region Index
Index
Delivery Region Index
Suburb
Delivery Region Index
City
Delivery Region Index
Postcode
Delivery Region Index
Longitude
Delivery Region Index
Latitude
Delivery Region Index
Full Address
Total Unit Cost
OrderNumber
Total Unit Cost
Channel
Total Unit Cost
Order Quantity
Total Unit Cost
Total Unit Price
Total Unit Cost
Total Revenue
Total Unit Cost
City
Total Unit Cost
Latitude
Total Unit Cost
Full Address
Total Revenue
Warehouse Code
Total Revenue
Order Quantity
Index
Warehouse Code
Longitude
Warehouse Code
Full Address
Warehouse Code
source: $MMTU_HOME/resources/Relationship-finding/FD/358351176