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                    |   Shop |   Product |   SalesFact Pcs |   SalesPlan Pcs |   Plan Revenue  |   CostFact |   MarginFact |   Id | Product Group   | Subgroup        |   Price |   Cost in percents |   Cost In Ruble |
|:------------------------|-------:|----------:|----------------:|----------------:|----------------:|-----------:|-------------:|-----:|:----------------|:----------------|--------:|-------------------:|----------------:|
| 2017-05-15 00:00:00.000 |     14 |         7 |              18 |              18 |           89280 |   66067.2  |     23212.8  |    7 | Electronics     | Smartphone      |    4960 |                 74 |         3670.4  |
| 2017-04-15 00:00:00.000 |     14 |         5 |              53 |              58 |          109678 |   74165    |     26058    |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2017-11-08 00:00:00.000 |     11 |         1 |              54 |              54 |          152118 |   66931.9  |     85186.1  |    1 | Home Appliances | Refrigerators   |    2817 |                 44 |         1239.48 |
| 2017-04-01 00:00:00.000 |      2 |         5 |              27 |              35 |           66185 |   37782.2  |     13274.8  |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2017-03-15 00:00:00.000 |     13 |         2 |               8 |               9 |           34371 |   16498.1  |     14053.9  |    2 | Бытовая техника | Washmachine     |    3819 |                 54 |         2062.26 |
| 2017-02-05 00:00:00.000 |      7 |         4 |              59 |              71 |          184245 |   81145.6  |     71959.4  |    4 | Бытовая техника | Irons           |    2595 |                 53 |         1375.35 |
| 2017-04-08 00:00:00.000 |     16 |         5 |              28 |              36 |           68076 |   39181.5  |     13766.5  |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2017-10-01 00:00:00.000 |     15 |         5 |              96 |             125 |          236375 |  134337    |     47199.4  |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2017-03-15 00:00:00.000 |      6 |         4 |              89 |             116 |          301020 |  122406    |    108549    |    4 | Бытовая техника | Irons           |    2595 |                 53 |         1375.35 |
| 2017-03-01 00:00:00.000 |      2 |         4 |              35 |              46 |          119370 |   48137.2  |     42687.8  |    4 | Бытовая техника | Irons           |    2595 |                 53 |         1375.35 |
| 2017-06-08 00:00:00.000 |     17 |         1 |              21 |              27 |           76059 |   26029.1  |     33127.9  |    1 | Home Appliances | Refrigerators   |    2817 |                 44 |         1239.48 |
| 2017-07-01 00:00:00.000 |      7 |         4 |               6 |               8 |           20760 |    8252.1  |      7317.9  |    4 | Бытовая техника | Irons           |    2595 |                 53 |         1375.35 |
| 2017-07-01 00:00:00.000 |      3 |         3 |              75 |              98 |          246764 |   71763    |    117087    |    3 | Бытовая техника | Dishwashmachine |    2518 |                 38 |          956.84 |
| 2017-05-15 00:00:00.000 |     10 |         6 |              85 |              85 |          293930 |  108754    |    185176    |    6 | Electronics     | Laptop          |    3458 |                 37 |         1279.46 |
| 2017-11-01 00:00:00.000 |      8 |         5 |              15 |              16 |           30256 |   20990.1  |      7374.9  |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2017-04-05 00:00:00.000 |      3 |         8 |               7 |               7 |            4452 |    1736.28 |      2715.72 |    8 | Electronics     | Photocameras    |     636 |                 39 |          248.04 |
| 2017-11-01 00:00:00.000 |     16 |         5 |              71 |              78 |          147498 |   99353.1  |     34907.9  |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2018-01-05 00:00:00.000 |      5 |         4 |               2 |               2 |            5190 |    2750.7  |      2439.3  |    4 | Бытовая техника | Irons           |    2595 |                 53 |         1375.35 |
| 2017-11-08 00:00:00.000 |     13 |         5 |              53 |              53 |          100223 |   74165    |     26058    |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2017-03-01 00:00:00.000 |      6 |         3 |              81 |              89 |          224102 |   77504    |    126454    |    3 | Бытовая техника | Dishwashmachine |    2518 |                 38 |          956.84 |
| 2017-02-01 00:00:00.000 |     11 |         7 |              62 |              74 |          367040 |  227565    |     79955.2  |    7 | Electronics     | Smartphone      |    4960 |                 74 |         3670.4  |
| 2017-08-08 00:00:00.000 |     10 |         8 |              95 |              95 |           60420 |   23563.8  |     36856.2  |    8 | Electronics     | Photocameras    |     636 |                 39 |          248.04 |
| 2017-06-08 00:00:00.000 |      5 |         7 |               6 |               8 |           39680 |   22022.4  |      7737.6  |    7 | Electronics     | Smartphone      |    4960 |                 74 |         3670.4  |
| 2017-02-05 00:00:00.000 |      8 |         1 |              20 |              20 |           56340 |   24789.6  |     31550.4  |    1 | Home Appliances | Refrigerators   |    2817 |                 44 |         1239.48 |
| 2017-07-15 00:00:00.000 |     16 |         6 |              45 |              54 |          186732 |   57575.7  |     98034.3  |    6 | Electronics     | Laptop          |    3458 |                 37 |         1279.46 |
| 2017-03-08 00:00:00.000 |      3 |         1 |              19 |              21 |           59157 |   23550.1  |     29972.9  |    1 | Home Appliances | Refrigerators   |    2817 |                 44 |         1239.48 |
| 2017-02-15 00:00:00.000 |     17 |         8 |              26 |              26 |           16536 |    6449.04 |     10087    |    8 | Electronics     | Photocameras    |     636 |                 39 |          248.04 |
| 2017-02-05 00:00:00.000 |      7 |         3 |              60 |              72 |          181296 |   57410.4  |     93669.6  |    3 | Бытовая техника | Dishwashmachine |    2518 |                 38 |          956.84 |
| 2017-04-01 00:00:00.000 |      5 |         4 |              54 |              65 |          168675 |   74268.9  |     65861.1  |    4 | Бытовая техника | Irons           |    2595 |                 53 |         1375.35 |
| 2017-09-15 00:00:00.000 |     16 |         2 |              31 |              37 |          141303 |   63930.1  |     54458.9  |    2 | Бытовая техника | Washmachine     |    3819 |                 54 |         2062.26 |
| 2017-07-15 00:00:00.000 |     13 |         8 |              13 |              16 |           10176 |    3224.52 |      5043.48 |    8 | Electronics     | Photocameras    |     636 |                 39 |          248.04 |
| 2017-01-15 00:00:00.000 |      8 |         3 |              37 |              37 |           93166 |   35403.1  |     57762.9  |    3 | Бытовая техника | Dishwashmachine |    2518 |                 38 |          956.84 |
| 2017-08-08 00:00:00.000 |      4 |         3 |               6 |               8 |           20144 |    5741.04 |      9366.96 |    3 | Бытовая техника | Dishwashmachine |    2518 |                 38 |          956.84 |
| 2017-04-08 00:00:00.000 |      9 |         5 |               6 |               8 |           15128 |    8396.04 |      2949.96 |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2017-01-08 00:00:00.000 |     11 |         1 |              24 |              31 |           87327 |   29747.5  |     37860.5  |    1 | Home Appliances | Refrigerators   |    2817 |                 44 |         1239.48 |
| 2017-07-01 00:00:00.000 |     12 |         5 |              86 |              95 |          179645 |  120343    |     42282.8  |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2017-02-15 00:00:00.000 |      6 |         1 |              96 |             106 |          298602 |  118990    |    151442    |    1 | Home Appliances | Refrigerators   |    2817 |                 44 |         1239.48 |
| 2017-09-08 00:00:00.000 |      1 |         3 |              14 |              17 |           42806 |   13395.8  |     21856.2  |    3 | Бытовая техника | Dishwashmachine |    2518 |                 38 |          956.84 |
| 2017-08-15 00:00:00.000 |      6 |         8 |              12 |              12 |            7632 |    2976.48 |      4655.52 |    8 | Electronics     | Photocameras    |     636 |                 39 |          248.04 |
| 2017-05-01 00:00:00.000 |      4 |         3 |              14 |              14 |           35252 |   13395.8  |     21856.2  |    3 | Бытовая техника | Dishwashmachine |    2518 |                 38 |          956.84 |
| 2017-05-08 00:00:00.000 |     10 |         8 |              68 |              75 |           47700 |   16866.7  |     26381.3  |    8 | Electronics     | Photocameras    |     636 |                 39 |          248.04 |
| 2017-01-08 00:00:00.000 |      8 |         6 |              74 |              81 |          280098 |   94680    |    161212    |    6 | Electronics     | Laptop          |    3458 |                 37 |         1279.46 |
| 2017-12-15 00:00:00.000 |      8 |         5 |              61 |              67 |          126697 |   85359.7  |     29991.3  |    5 | Electronics     | TV              |    1891 |                 74 |         1399.34 |
| 2017-03-08 00:00:00.000 |     15 |         6 |              42 |              50 |          172900 |   53737.3  |     91498.7  |    6 | Electronics     | Laptop          |    3458 |                 37 |         1279.46 |
| 2017-01-08 00:00:00.000 |     15 |         4 |               1 |               1 |            2595 |    1375.35 |      1219.65 |    4 | Бытовая техника | Irons           |    2595 |                 53 |         1375.35 |
| 2017-10-15 00:00:00.000 |      6 |         4 |              22 |              24 |           62280 |   30257.7  |     26832.3  |    4 | Бытовая техника | Irons           |    2595 |                 53 |         1375.35 |
| 2017-07-01 00:00:00.000 |      4 |         8 |              43 |              43 |           27348 |   10665.7  |     16682.3  |    8 | Electronics     | Photocameras    |     636 |                 39 |          248.04 |
| 2017-06-15 00:00:00.000 |      7 |         3 |              48 |              58 |          146044 |   45928.3  |     74935.7  |    3 | Бытовая техника | Dishwashmachine |    2518 |                 38 |          956.84 |
| 2017-08-08 00:00:00.000 |     14 |         4 |              95 |             124 |          321780 |  130658    |    115867    |    4 | Бытовая техника | Irons           |    2595 |                 53 |         1375.35 |
| 2017-01-15 00:00:00.000 |      5 |         2 |              16 |              19 |           72561 |   32996.2  |     28107.8  |    2 | Бытовая техника | Washmachine     |    3819 |                 54 |         2062.26 |



label: Product
Id
Product
Product Group
Product
Subgroup
Product
Price
Product
Cost in percents
Product
Cost In Ruble
output: {"Functional-Dependency": [["Product", "Id"], ["Product", "Product Group"], ["Product", "Subgroup"], ["Product", "Price"], ["Product", "Cost in percents"], ["Product", "Cost In Ruble"]]}
labeled_fds: Product
Id
Product
Product Group
Product
Subgroup
Product
Price
Product
Cost in percents
Product
Cost In Ruble
Plan Revenue 
Product
Plan Revenue 
Id
Plan Revenue 
Product Group
Plan Revenue 
Price
Plan Revenue 
Cost in percents
Plan Revenue 
Cost In Ruble
CostFact
Product
CostFact
Id
CostFact
Product Group
CostFact
Subgroup
CostFact
Price
CostFact
Cost in percents
MarginFact
Product
MarginFact
Id
MarginFact
Product Group
MarginFact
Price
MarginFact
Cost in percents
MarginFact
Cost In Ruble
source: $MMTU_HOME/resources/Relationship-finding/FD/887016504