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:
|   Product_item_id | booked_date             |   booked_quantity |   Stock Balance |   costPrice |   error_quantity |   Warehouse |   Product_category_id | Product_category   | Product_item        |   quantity | purchased_on            |   purchased_cost |   selling_price |
|------------------:|:------------------------|------------------:|----------------:|------------:|-----------------:|------------:|----------------------:|:-------------------|:--------------------|-----------:|:------------------------|-----------------:|----------------:|
|               136 | 2021-03-01 00:00:00.000 |              1188 |            6029 |      356400 |               39 |           2 |                     3 | Kitchenware        | Plates              |       7217 | 2021-03-01 00:00:00.000 |              300 |             320 |
|               115 | 2021-04-17 00:00:00.000 |               548 |            5394 |      411000 |               41 |           2 |                     1 | Apparel            | Women Footwear      |       5942 | 2021-03-01 00:00:00.000 |              750 |             810 |
|               153 | 2021-03-01 00:00:00.000 |              1987 |            4119 |     5961000 |              324 |           2 |                     6 | Fitness            | Push up bar         |       6106 | 2021-03-01 00:00:00.000 |             3000 |            3150 |
|               151 | 2021-03-01 00:00:00.000 |              1850 |            5317 |     3700000 |              343 |           2 |                     6 | Fitness            | Dumbels             |       7167 | 2021-03-01 00:00:00.000 |             2000 |            2200 |
|               121 | 2021-04-04 00:00:00.000 |              1326 |            1851 |     5304000 |              234 |           2 |                     1 | Apparel            | women Ethnicwear    |       3177 | 2021-03-01 00:00:00.000 |             4000 |            4800 |
|               158 | 2021-04-01 00:00:00.000 |              1433 |            3456 |      286600 |              240 |           1 |                     7 | Beauty             | Soaps & Shampoos    |       4889 | 2021-02-01 00:00:00.000 |              200 |             280 |
|               163 | 2021-05-01 00:00:00.000 |              5727 |            -791 |    15462900 |               89 |           2 |                     8 | Health             | Immunity boosters   |       4936 | 2021-02-01 00:00:00.000 |             2700 |            2740 |
|               147 | 2021-03-01 00:00:00.000 |              2482 |            4116 |    24820000 |              282 |           2 |                     5 | Appliances         | Washing Machine     |       6598 | 2021-02-01 00:00:00.000 |            10000 |           11000 |
|               123 | 2021-05-01 00:00:00.000 |              2073 |            5772 |    24876000 |               84 |           1 |                     2 | Electronics        | Cameras             |       7845 | 2021-01-01 00:00:00.000 |            12000 |           13000 |
|               122 | 2021-04-05 00:00:00.000 |               318 |            1935 |     2544000 |              152 |           2 |                     2 | Electronics        | Mobiles             |       2253 | 2021-02-01 00:00:00.000 |             8000 |            8400 |
|               156 | 2021-03-01 00:00:00.000 |              3379 |            -539 |     1351600 |              283 |           1 |                     7 | Beauty             | Face Packs          |       2840 | 2021-01-01 00:00:00.000 |              400 |             470 |
|               137 | 2021-04-01 00:00:00.000 |              3897 |            1188 |     1558800 |              248 |           2 |                     3 | Kitchenware        | Disposable Supplies |       5085 | 2021-03-01 00:00:00.000 |              400 |             450 |
|               147 | 2021-03-01 00:00:00.000 |              3117 |            3481 |    31170000 |               42 |           2 |                     5 | Appliances         | Washing Machine     |       6598 | 2021-02-01 00:00:00.000 |            10000 |           11000 |
|               164 | 2021-04-01 00:00:00.000 |              2320 |            4533 |    11600000 |               40 |           2 |                     9 | Travel             | Bags                |       6853 | 2021-02-01 00:00:00.000 |             5000 |            6000 |
|               129 | 2021-04-01 00:00:00.000 |              5725 |           -1240 |     6870000 |              155 |           1 |                     2 | Electronics        | Shavers             |       4485 | 2021-01-01 00:00:00.000 |             1200 |            1280 |
|               111 | 2021-04-01 00:00:00.000 |              5200 |            1439 |     1560000 |               47 |           1 |                     1 | Apparel            | Mens T Shirts       |       6639 | 2021-01-01 00:00:00.000 |              300 |             350 |
|               167 | 2021-04-01 00:00:00.000 |              5291 |            2062 |     2116400 |               47 |           1 |                     9 | Travel             | Umbrella            |       7353 | 2021-02-01 00:00:00.000 |              400 |             450 |
|               138 | 2021-03-01 00:00:00.000 |              3865 |            1817 |     2319000 |              114 |           2 |                     4 | Electrical         | Bulbs               |       5682 | 2021-03-01 00:00:00.000 |              600 |             650 |
|               162 | 2021-05-01 00:00:00.000 |              3779 |            1948 |    13226500 |               64 |           1 |                     8 | Health             | Digestive Probiotic |       5727 | 2021-03-01 00:00:00.000 |             3500 |            3500 |
|               153 | 2021-05-01 00:00:00.000 |              2824 |            3282 |     8472000 |               75 |           2 |                     6 | Fitness            | Push up bar         |       6106 | 2021-03-01 00:00:00.000 |             3000 |            3150 |
|               146 | 2021-05-01 00:00:00.000 |               691 |            5081 |    19348000 |               38 |           2 |                     5 | Appliances         | AC's                |       5772 | 2021-03-01 00:00:00.000 |            28000 |           29400 |
|               141 | 2021-03-01 00:00:00.000 |               188 |            4730 |      263200 |               45 |           1 |                     4 | Electrical         | Wires               |       4918 | 2021-03-01 00:00:00.000 |             1400 |            1500 |
|               120 | 2021-05-01 00:00:00.000 |              1358 |            6010 |     4753000 |               46 |           1 |                     1 | Apparel            | Men Ethnicwear      |       7368 | 2021-02-01 00:00:00.000 |             3500 |            4000 |
|               123 | 2021-04-01 00:00:00.000 |               631 |            7214 |     7572000 |              226 |           1 |                     2 | Electronics        | Cameras             |       7845 | 2021-01-01 00:00:00.000 |            12000 |           13000 |
|               126 | 2021-04-01 00:00:00.000 |               873 |            5863 |    30555000 |              207 |           2 |                     2 | Electronics        | computers           |       6736 | 2021-02-01 00:00:00.000 |            35000 |           36120 |
|               121 | 2021-05-01 00:00:00.000 |              3316 |            -139 |    13264000 |               79 |           2 |                     1 | Apparel            | women Ethnicwear    |       3177 | 2021-03-01 00:00:00.000 |             4000 |            4800 |
|               142 | 2021-04-01 00:00:00.000 |              3098 |            -965 |     1053320 |              271 |           2 |                     4 | Electrical         | Switches            |       2133 | 2021-01-01 00:00:00.000 |              340 |             480 |
|               135 | 2021-04-01 00:00:00.000 |              2989 |            4433 |    14945000 |              211 |           2 |                     3 | Kitchenware        | Juicers & Grinders  |       7422 | 2021-02-01 00:00:00.000 |             5000 |            5999 |
|               166 | 2021-04-01 00:00:00.000 |               443 |            5570 |     5316000 |              115 |           1 |                     9 | Travel             | Trolleys            |       6013 | 2021-01-01 00:00:00.000 |            12000 |           12500 |
|               133 | 2021-04-01 00:00:00.000 |              1619 |            2040 |     4857000 |              206 |           1 |                     3 | Kitchenware        | Gas stoves          |       3659 | 2021-03-01 00:00:00.000 |             3000 |            3199 |
|               115 | 2021-04-01 00:00:00.000 |               731 |            5211 |      548250 |               85 |           2 |                     1 | Apparel            | Women Footwear      |       5942 | 2021-03-01 00:00:00.000 |              750 |             810 |
|               167 | 2021-03-01 00:00:00.000 |              7353 |               0 |     2941200 |              108 |           1 |                     9 | Travel             | Umbrella            |       7353 | 2021-02-01 00:00:00.000 |              400 |             450 |
|               133 | 2021-05-01 00:00:00.000 |               540 |            3119 |     1620000 |               20 |           1 |                     3 | Kitchenware        | Gas stoves          |       3659 | 2021-03-01 00:00:00.000 |             3000 |            3199 |
|               141 | 2021-04-01 00:00:00.000 |              2297 |            2621 |     3215800 |              329 |           1 |                     4 | Electrical         | Wires               |       4918 | 2021-03-01 00:00:00.000 |             1400 |            1500 |
|               137 | 2021-05-01 00:00:00.000 |               722 |            4363 |      288800 |               44 |           2 |                     3 | Kitchenware        | Disposable Supplies |       5085 | 2021-03-01 00:00:00.000 |              400 |             450 |
|               120 | 2021-04-03 00:00:00.000 |              2716 |            4652 |     9506000 |                0 |           1 |                     1 | Apparel            | Men Ethnicwear      |       7368 | 2021-02-01 00:00:00.000 |             3500 |            4000 |
|               144 | 2021-04-01 00:00:00.000 |               626 |            3938 |    12520000 |              292 |           1 |                     5 | Appliances         | TV                  |       4564 | 2021-03-01 00:00:00.000 |            20000 |           22000 |
|               117 | 2021-05-01 00:00:00.000 |               940 |            4406 |     1880000 |               40 |           1 |                     1 | Apparel            | Women Sarees        |       5346 | 2021-02-01 00:00:00.000 |             2000 |            2200 |
|               119 | 2021-05-01 00:00:00.000 |              1805 |             966 |     1714750 |               34 |           2 |                     1 | Apparel            | Women Jeans         |       2771 | 2021-03-01 00:00:00.000 |              950 |             980 |
|               139 | 2021-04-01 00:00:00.000 |               227 |            7667 |      158900 |               11 |           2 |                     4 | Electrical         | Lights              |       7894 | 2021-03-01 00:00:00.000 |              700 |             780 |
|               155 | 2021-03-01 00:00:00.000 |              1153 |            2330 |      461200 |              320 |           2 |                     7 | Beauty             | Facewashs           |       3483 | 2021-03-01 00:00:00.000 |              400 |             480 |
|               164 | 2021-05-01 00:00:00.000 |              4590 |            2263 |    22950000 |               45 |           2 |                     9 | Travel             | Bags                |       6853 | 2021-02-01 00:00:00.000 |             5000 |            6000 |
|               116 | 2021-04-01 00:00:00.000 |              4813 |            1059 |     5775600 |                5 |           2 |                     1 | Apparel            | Women Kurtas        |       5872 | 2021-03-01 00:00:00.000 |             1200 |            1350 |
|               148 | 2021-03-01 00:00:00.000 |              3167 |            1386 |    44338000 |               77 |           2 |                     5 | Appliances         | Refrigirators       |       4553 | 2021-03-01 00:00:00.000 |            14000 |           14500 |
|               118 | 2021-05-01 00:00:00.000 |              3421 |             502 |     2736800 |               88 |           2 |                     1 | Apparel            | Mens Jeans          |       3923 | 2021-03-01 00:00:00.000 |              800 |             900 |
|               150 | 2021-04-01 00:00:00.000 |              1082 |            5299 |    19476000 |              284 |           1 |                     5 | Appliances         | Water Purifyers     |       6381 | 2021-02-01 00:00:00.000 |            18000 |           18400 |
|               146 | 2021-03-01 00:00:00.000 |              2431 |            3341 |    68068000 |              319 |           2 |                     5 | Appliances         | AC's                |       5772 | 2021-03-01 00:00:00.000 |            28000 |           29400 |
|               127 | 2021-04-01 00:00:00.000 |              4783 |            1520 |     5739600 |              247 |           1 |                     2 | Electronics        | Power Banks         |       6303 | 2021-03-01 00:00:00.000 |             1200 |            1350 |
|               125 | 2021-05-01 00:00:00.000 |              3086 |             271 |    77150000 |               97 |           1 |                     2 | Electronics        | Home theatres       |       3357 | 2021-03-01 00:00:00.000 |            25000 |           25800 |
|               145 | 2021-04-01 00:00:00.000 |              2008 |             551 |    60240000 |              258 |           2 |                     5 | Appliances         | Invertors           |       2559 | 2021-02-01 00:00:00.000 |            30000 |           31000 |



label: Product_item_id
Warehouse
Product_item_id
Product_category_id
Product_item_id
Product_category
Product_item_id
Product_item
Product_item_id
quantity
Product_item_id
purchased_on
Product_item_id
purchased_cost
Product_item_id
selling_price
output: {"Functional-Dependency": [["Product_item_id", "Warehouse"], ["Product_item_id", "Product_category_id"], ["Product_item_id", "Product_category"], ["Product_item_id", "Product_item"], ["Product_item_id", "quantity"], ["Product_item_id", "purchased_on"], ["Product_item_id", "purchased_cost"], ["Product_item_id", "selling_price"]]}
labeled_fds: Product_item_id
Warehouse
Product_item_id
Product_category_id
Product_item_id
Product_category
Product_item_id
Product_item
Product_item_id
quantity
Product_item_id
purchased_on
Product_item_id
purchased_cost
Product_item_id
selling_price
Stock Balance
Product_item_id
Stock Balance
error_quantity
Stock Balance
Warehouse
Stock Balance
Product_item
Stock Balance
purchased_on
source: $MMTU_HOME/resources/Relationship-finding/FD/100071583