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:
| DATE                    | PRODUCT ID   |   QUANTITY | SALE TYPE    | PAYMENT MODE   |   DISCOUNT % |   Day |   Year |   Month | Month Name   | Master Data.PRODUCT   | Master Data.CATEGORY   | Master Data.UOM   |   Master Data.BUYING PRIZE |   Master Data.SELLING PRICE |   Total Buying Value |   Total Selling Value | PRODUCT   | CATEGORY   | UOM   |   BUYING PRIZE |   SELLING PRICE |
|:------------------------|:-------------|-----------:|:-------------|:---------------|-------------:|------:|-------:|--------:|:-------------|:----------------------|:-----------------------|:------------------|---------------------------:|----------------------------:|---------------------:|----------------------:|:----------|:-----------|:------|---------------:|----------------:|
| 2021-08-03 00:00:00.000 | P0022        |         13 | Online       | Online         |            0 |     3 |   2021 |       8 | Aug          | Product22             | Catagory03             | Kg                |                        121 |                      141.57 |                 1573 |               1840.41 | Product22 | Catagory03 | Kg    |            121 |          141.57 |
| 2021-08-03 00:00:00.000 | P0034        |         12 | Online       | Online         |            0 |     3 |   2021 |       8 | Aug          | Product34             | Catagory04             | Kg                |                         55 |                       58.3  |                  660 |                699.6  | Product34 | Catagory04 | Kg    |             55 |           58.3  |
| 2021-01-11 00:00:00.000 | P0037        |          3 | Direct Sales | Cash           |            0 |    11 |   2021 |       1 | Jan          | Product37             | Catagory04             | Kg                |                         67 |                       85.76 |                  201 |                257.28 | Product37 | Catagory04 | Kg    |             67 |           85.76 |
| 2022-02-12 00:00:00.000 | P0010        |         13 | Direct Sales | Cash           |            0 |    12 |   2022 |       2 | Feb          | Product10             | Catagory02             | Kg                |                        148 |                      164.28 |                 1924 |               2135.64 | Product10 | Catagory02 | Kg    |            148 |          164.28 |
| 2022-01-02 00:00:00.000 | P0033        |          1 | Direct Sales | Cash           |            0 |     2 |   2022 |       1 | Jan          | Product33             | Catagory04             | Kg                |                         95 |                      119.7  |                   95 |                119.7  | Product33 | Catagory04 | Kg    |             95 |          119.7  |
| 2021-05-09 00:00:00.000 | P0016        |          6 | Online       | Online         |            0 |     9 |   2021 |       5 | May          | Product16             | Catagory02             | Kg                |                         13 |                       16.64 |                   78 |                 99.84 | Product16 | Catagory02 | Kg    |             13 |           16.64 |
| 2022-12-29 00:00:00.000 | P0042        |          1 | Wholesaler   | Cash           |            0 |    29 |   2022 |      12 | Dec          | Product42             | Catagory04             | Kg                |                        120 |                      162    |                  120 |                162    | Product42 | Catagory04 | Kg    |            120 |          162    |
| 2022-01-01 00:00:00.000 | P0022        |          1 | Wholesaler   | Cash           |            0 |     1 |   2022 |       1 | Jan          | Product22             | Catagory03             | Kg                |                        121 |                      141.57 |                  121 |                141.57 | Product22 | Catagory03 | Kg    |            121 |          141.57 |
| 2022-08-28 00:00:00.000 | P0039        |          5 | Direct Sales | Online         |            0 |    28 |   2022 |       8 | Aug          | Product39             | Catagory04             | Kg                |                         37 |                       42.55 |                  185 |                212.75 | Product39 | Catagory04 | Kg    |             37 |           42.55 |
| 2022-11-18 00:00:00.000 | P0034        |          8 | Direct Sales | Cash           |            0 |    18 |   2022 |      11 | Nov          | Product34             | Catagory04             | Kg                |                         55 |                       58.3  |                  440 |                466.4  | Product34 | Catagory04 | Kg    |             55 |           58.3  |
| 2021-01-20 00:00:00.000 | P0034        |          4 | Direct Sales | Cash           |            0 |    20 |   2021 |       1 | Jan          | Product34             | Catagory04             | Kg                |                         55 |                       58.3  |                  220 |                233.2  | Product34 | Catagory04 | Kg    |             55 |           58.3  |
| 2022-09-06 00:00:00.000 | P0005        |         12 | Wholesaler   | Online         |            0 |     6 |   2022 |       9 | Sep          | Product05             | Catagory01             | Kg                |                        133 |                      155.61 |                 1596 |               1867.32 | Product05 | Catagory01 | Kg    |            133 |          155.61 |
| 2021-12-14 00:00:00.000 | P0042        |          4 | Direct Sales | Online         |            0 |    14 |   2021 |      12 | Dec          | Product42             | Catagory04             | Kg                |                        120 |                      162    |                  480 |                648    | Product42 | Catagory04 | Kg    |            120 |          162    |
| 2022-09-15 00:00:00.000 | P0037        |         15 | Online       | Online         |            0 |    15 |   2022 |       9 | Sep          | Product37             | Catagory04             | Kg                |                         67 |                       85.76 |                 1005 |               1286.4  | Product37 | Catagory04 | Kg    |             67 |           85.76 |
| 2021-09-21 00:00:00.000 | P0020        |          7 | Wholesaler   | Cash           |            0 |    21 |   2021 |       9 | Sep          | Product20             | Catagory03             | Kg                |                         61 |                       76.25 |                  427 |                533.75 | Product20 | Catagory03 | Kg    |             61 |           76.25 |
| 2022-11-28 00:00:00.000 | P0031        |          8 | Direct Sales | Cash           |            0 |    28 |   2022 |      11 | Nov          | Product31             | Catagory04             | Kg                |                         93 |                      104.16 |                  744 |                833.28 | Product31 | Catagory04 | Kg    |             93 |          104.16 |
| 2021-02-06 00:00:00.000 | P0035        |          1 | Direct Sales | Cash           |            0 |     6 |   2021 |       2 | Feb          | Product35             | Catagory04             | Kg                |                          5 |                        6.7  |                    5 |                  6.7  | Product35 | Catagory04 | Kg    |              5 |            6.7  |
| 2021-04-18 00:00:00.000 | P0019        |         13 | Direct Sales | Cash           |            0 |    18 |   2021 |       4 | Apr          | Product19             | Catagory02             | Kg                |                        150 |                      210    |                 1950 |               2730    | Product19 | Catagory02 | Kg    |            150 |          210    |
| 2021-01-12 00:00:00.000 | P0042        |         10 | Online       | Cash           |            0 |    12 |   2021 |       1 | Jan          | Product42             | Catagory04             | Kg                |                        120 |                      162    |                 1200 |               1620    | Product42 | Catagory04 | Kg    |            120 |          162    |
| 2022-10-30 00:00:00.000 | P0042        |          3 | Direct Sales | Cash           |            0 |    30 |   2022 |      10 | Oct          | Product42             | Catagory04             | Kg                |                        120 |                      162    |                  360 |                486    | Product42 | Catagory04 | Kg    |            120 |          162    |
| 2022-08-26 00:00:00.000 | P0037        |          8 | Online       | Online         |            0 |    26 |   2022 |       8 | Aug          | Product37             | Catagory04             | Kg                |                         67 |                       85.76 |                  536 |                686.08 | Product37 | Catagory04 | Kg    |             67 |           85.76 |
| 2022-09-19 00:00:00.000 | P0033        |          8 | Wholesaler   | Cash           |            0 |    19 |   2022 |       9 | Sep          | Product33             | Catagory04             | Kg                |                         95 |                      119.7  |                  760 |                957.6  | Product33 | Catagory04 | Kg    |             95 |          119.7  |
| 2021-03-08 00:00:00.000 | P0027        |          6 | Online       | Cash           |            0 |     8 |   2021 |       3 | Mar          | Product27             | Catagory04             | Kg                |                         48 |                       57.12 |                  288 |                342.72 | Product27 | Catagory04 | Kg    |             48 |           57.12 |
| 2022-05-02 00:00:00.000 | P0013        |          4 | Online       | Cash           |            0 |     2 |   2022 |       5 | May          | Product13             | Catagory02             | Kg                |                        112 |                      122.08 |                  448 |                488.32 | Product13 | Catagory02 | Kg    |            112 |          122.08 |
| 2022-02-08 00:00:00.000 | P0005        |         11 | Online       | Cash           |            0 |     8 |   2022 |       2 | Feb          | Product05             | Catagory01             | Kg                |                        133 |                      155.61 |                 1463 |               1711.71 | Product05 | Catagory01 | Kg    |            133 |          155.61 |
| 2021-07-20 00:00:00.000 | P0038        |         11 | Online       | Online         |            0 |    20 |   2021 |       7 | Jul          | Product38             | Catagory04             | Kg                |                         72 |                       79.92 |                  792 |                879.12 | Product38 | Catagory04 | Kg    |             72 |           79.92 |
| 2021-07-03 00:00:00.000 | P0033        |          9 | Online       | Cash           |            0 |     3 |   2021 |       7 | Jul          | Product33             | Catagory04             | Kg                |                         95 |                      119.7  |                  855 |               1077.3  | Product33 | Catagory04 | Kg    |             95 |          119.7  |
| 2021-06-08 00:00:00.000 | P0004        |         11 | Wholesaler   | Cash           |            0 |     8 |   2021 |       6 | Jun          | Product04             | Catagory01             | Kg                |                         44 |                       48.84 |                  484 |                537.24 | Product04 | Catagory01 | Kg    |             44 |           48.84 |
| 2022-08-23 00:00:00.000 | P0044        |         11 | Online       | Online         |            0 |    23 |   2022 |       8 | Aug          | Product44             | Catagory04             | Kg                |                         76 |                       82.08 |                  836 |                902.88 | Product44 | Catagory04 | Kg    |             76 |           82.08 |
| 2022-07-20 00:00:00.000 | P0042        |          8 | Wholesaler   | Online         |            0 |    20 |   2022 |       7 | Jul          | Product42             | Catagory04             | Kg                |                        120 |                      162    |                  960 |               1296    | Product42 | Catagory04 | Kg    |            120 |          162    |
| 2022-12-03 00:00:00.000 | P0028        |          5 | Wholesaler   | Cash           |            0 |     3 |   2022 |      12 | Dec          | Product28             | Catagory04             | Kg                |                         37 |                       41.81 |                  185 |                209.05 | Product28 | Catagory04 | Kg    |             37 |           41.81 |
| 2021-08-26 00:00:00.000 | P0039        |          4 | Direct Sales | Online         |            0 |    26 |   2021 |       8 | Aug          | Product39             | Catagory04             | Kg                |                         37 |                       42.55 |                  148 |                170.2  | Product39 | Catagory04 | Kg    |             37 |           42.55 |
| 2021-06-03 00:00:00.000 | P0021        |         10 | Direct Sales | Cash           |            0 |     3 |   2021 |       6 | Jun          | Product21             | Catagory03             | Kg                |                        126 |                      162.54 |                 1260 |               1625.4  | Product21 | Catagory03 | Kg    |            126 |          162.54 |
| 2021-02-25 00:00:00.000 | P0002        |          4 | Wholesaler   | Online         |            0 |    25 |   2021 |       2 | Feb          | Product02             | Catagory01             | Kg                |                        105 |                      142.8  |                  420 |                571.2  | Product02 | Catagory01 | Kg    |            105 |          142.8  |
| 2021-04-23 00:00:00.000 | P0042        |          6 | Direct Sales | Online         |            0 |    23 |   2021 |       4 | Apr          | Product42             | Catagory04             | Kg                |                        120 |                      162    |                  720 |                972    | Product42 | Catagory04 | Kg    |            120 |          162    |
| 2021-11-30 00:00:00.000 | P0039        |         15 | Direct Sales | Online         |            0 |    30 |   2021 |      11 | Nov          | Product39             | Catagory04             | Kg                |                         37 |                       42.55 |                  555 |                638.25 | Product39 | Catagory04 | Kg    |             37 |           42.55 |
| 2022-01-31 00:00:00.000 | P0023        |          6 | Online       | Cash           |            0 |    31 |   2022 |       1 | Jan          | Product23             | Catagory03             | Kg                |                        141 |                      149.46 |                  846 |                896.76 | Product23 | Catagory03 | Kg    |            141 |          149.46 |
| 2021-10-07 00:00:00.000 | P0026        |          6 | Direct Sales | Cash           |            0 |     7 |   2021 |      10 | Oct          | Product26             | Catagory04             | Kg                |                         18 |                       24.66 |                  108 |                147.96 | Product26 | Catagory04 | Kg    |             18 |           24.66 |
| 2021-01-18 00:00:00.000 | P0044        |         13 | Direct Sales | Online         |            0 |    18 |   2021 |       1 | Jan          | Product44             | Catagory04             | Kg                |                         76 |                       82.08 |                  988 |               1067.04 | Product44 | Catagory04 | Kg    |             76 |           82.08 |
| 2022-01-03 00:00:00.000 | P0043        |          9 | Direct Sales | Cash           |            0 |     3 |   2022 |       1 | Jan          | Product43             | Catagory04             | Kg                |                         67 |                       83.08 |                  603 |                747.72 | Product43 | Catagory04 | Kg    |             67 |           83.08 |
| 2022-05-26 00:00:00.000 | P0028        |          2 | Direct Sales | Online         |            0 |    26 |   2022 |       5 | May          | Product28             | Catagory04             | Kg                |                         37 |                       41.81 |                   74 |                 83.62 | Product28 | Catagory04 | Kg    |             37 |           41.81 |
| 2022-06-26 00:00:00.000 | P0034        |          4 | Direct Sales | Cash           |            0 |    26 |   2022 |       6 | Jun          | Product34             | Catagory04             | Kg                |                         55 |                       58.3  |                  220 |                233.2  | Product34 | Catagory04 | Kg    |             55 |           58.3  |
| 2022-11-25 00:00:00.000 | P0004        |          5 | Direct Sales | Cash           |            0 |    25 |   2022 |      11 | Nov          | Product04             | Catagory01             | Kg                |                         44 |                       48.84 |                  220 |                244.2  | Product04 | Catagory01 | Kg    |             44 |           48.84 |
| 2022-10-31 00:00:00.000 | P0038        |          8 | Direct Sales | Online         |            0 |    31 |   2022 |      10 | Oct          | Product38             | Catagory04             | Kg                |                         72 |                       79.92 |                  576 |                639.36 | Product38 | Catagory04 | Kg    |             72 |           79.92 |
| 2022-03-19 00:00:00.000 | P0041        |          6 | Wholesaler   | Cash           |            0 |    19 |   2022 |       3 | Mar          | Product41             | Catagory04             | Kg                |                        138 |                      173.88 |                  828 |               1043.28 | Product41 | Catagory04 | Kg    |            138 |          173.88 |
| 2022-02-19 00:00:00.000 | P0002        |         13 | Online       | Cash           |            0 |    19 |   2022 |       2 | Feb          | Product02             | Catagory01             | Kg                |                        105 |                      142.8  |                 1365 |               1856.4  | Product02 | Catagory01 | Kg    |            105 |          142.8  |
| 2021-11-28 00:00:00.000 | P0040        |          2 | Direct Sales | Cash           |            0 |    28 |   2021 |      11 | Nov          | Product40             | Catagory04             | Kg                |                         90 |                      115.2  |                  180 |                230.4  | Product40 | Catagory04 | Kg    |             90 |          115.2  |
| 2021-06-27 00:00:00.000 | P0005        |         11 | Direct Sales | Cash           |            0 |    27 |   2021 |       6 | Jun          | Product05             | Catagory01             | Kg                |                        133 |                      155.61 |                 1463 |               1711.71 | Product05 | Catagory01 | Kg    |            133 |          155.61 |
| 2021-04-18 00:00:00.000 | P0038        |          9 | Wholesaler   | Online         |            0 |    18 |   2021 |       4 | Apr          | Product38             | Catagory04             | Kg                |                         72 |                       79.92 |                  648 |                719.28 | Product38 | Catagory04 | Kg    |             72 |           79.92 |
| 2021-12-28 00:00:00.000 | P0029        |          6 | Direct Sales | Cash           |            0 |    28 |   2021 |      12 | Dec          | Product29             | Catagory04             | Kg                |                         47 |                       53.11 |                  282 |                318.66 | Product29 | Catagory04 | Kg    |             47 |           53.11 |



label: PRODUCT ID
PRODUCT
PRODUCT ID
CATEGORY
PRODUCT ID
UOM
PRODUCT ID
BUYING PRIZE
PRODUCT ID
SELLING PRICE
output: {"Functional-Dependency": [["PRODUCT ID", "PRODUCT"], ["PRODUCT ID", "CATEGORY"], ["PRODUCT ID", "UOM"], ["PRODUCT ID", "BUYING PRIZE"], ["PRODUCT ID", "SELLING PRICE"]]}
labeled_fds: PRODUCT ID
PRODUCT
PRODUCT ID
CATEGORY
PRODUCT ID
UOM
PRODUCT ID
BUYING PRIZE
PRODUCT ID
SELLING PRICE
Total Selling Value
PRODUCT ID
Total Selling Value
QUANTITY
Total Selling Value
Master Data.PRODUCT
Total Selling Value
Master Data.CATEGORY
Total Selling Value
Master Data.BUYING PRIZE
Total Selling Value
Total Buying Value
Total Selling Value
PRODUCT
Total Selling Value
CATEGORY
source: $MMTU_HOME/resources/Relationship-finding/FD/258685011