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:
|   ProductKey |   CustomerKey | Order Date              | Delivery Date           | Order Number   |   Order Line Number |   Quantity |   Product Code | Product Name                                                                |   ProductSubcategoryKey | Manufacturer         | Brand                | Color   | Weight Unit Measure   | Available Date          |
|-------------:|--------------:|:------------------------|:------------------------|:---------------|--------------------:|-----------:|---------------:|:----------------------------------------------------------------------------|------------------------:|:---------------------|:---------------------|:--------|:----------------------|:------------------------|
|         2493 |         18877 | 2008-10-08 00:00:00.000 | 2008-10-19 00:00:00.000 | 200810085CS782 |                 385 |          1 |         505006 | Cigarette Lighter Adapter for Contoso Phones E110 Red                       |                      33 | Contoso, Ltd         | Contoso              | Red     | ounces                | 2006-06-28 00:00:00.000 |
|         1214 |         19078 | 2009-12-23 00:00:00.000 | 2010-01-02 00:00:00.000 | 200912234CS780 |                 137 |          1 |         405071 | Fabrikam Social Videographer 1/3'' 8.5mm E200 Grey                          |                      27 | Fabrikam, Inc.       | Fabrikam             | Grey    | pounds                | 2007-03-04 00:00:00.000 |
|          902 |         18929 | 2009-04-06 00:00:00.000 | 2009-04-15 00:00:00.000 | 200904063CS838 |                 510 |          1 |         308160 | SV Keyboard E10 Grey                                                        |                      22 | Southridge Video     | Southridge Video     | Grey    |                       | 2006-11-12 00:00:00.000 |
|          419 |          2754 | 2007-01-26 00:00:00.000 | 2007-02-01 00:00:00.000 | 20070126313753 |                   1 |          1 |         303004 | Adventure Works Desktop PC1.80 ED180 Silver                                 |                      17 | Adventure Works      | Adventure Works      | Silver  | pounds                | 2005-01-02 00:00:00.000 |
|          902 |         19060 | 2008-12-27 00:00:00.000 | 2009-01-05 00:00:00.000 | 200812273CS676 |                  49 |          2 |         308160 | SV Keyboard E10 Grey                                                        |                      22 | Southridge Video     | Southridge Video     | Grey    |                       | 2006-11-12 00:00:00.000 |
|         1767 |          7731 | 2009-10-18 00:00:00.000 | 2009-10-28 00:00:00.000 | 20091018718730 |                   1 |          1 |         702061 | MGS Dal of Honor Airborne 2008 M430                                         |                      39 | Tailspin Toys        | Tailspin Toys        | White   |                       | 2009-01-02 00:00:00.000 |
|          772 |         19122 | 2009-05-04 00:00:00.000 | 2009-05-12 00:00:00.000 | 200905043CS712 |                 623 |          3 |         308030 | Contoso Cables To Go USB 2.0 Hard Drive Enclosure E920 Black                |                      22 | Contoso, Ltd         | Contoso              | Black   | pounds                | 2006-09-19 00:00:00.000 |
|         2179 |         18981 | 2009-08-19 00:00:00.000 | 2009-08-25 00:00:00.000 | 200908198CS893 |                 831 |          1 |         805064 | Fabrikam Coffee Maker Auto 5C E090 White                                    |                      45 | Fabrikam, Inc.       | Fabrikam             | White   | pounds                | 2006-03-08 00:00:00.000 |
|         1414 |         18960 | 2009-07-01 00:00:00.000 | 2009-07-11 00:00:00.000 | 200907015CS871 |                 151 |          2 |         503007 | The Phone Company Touch Screen Phones 5-Wire/Built-in M500 Black            |                      31 | The Phone Company    | The Phone Company    | Black   | ounces                | 2009-01-03 00:00:00.000 |
|         1686 |         17791 | 2008-08-21 00:00:00.000 | 2008-08-27 00:00:00.000 | 20080821728790 |                   1 |          1 |         701026 | SV Hand Games for students E40 Yellow                                       |                      38 | Southridge Video     | Southridge Video     | Yellow  | pounds                | 2005-02-12 00:00:00.000 |
|         1796 |         13743 | 2008-05-15 00:00:00.000 | 2008-05-22 00:00:00.000 | 20080515724742 |                   1 |          1 |         702090 | MGS Rise of Nations2009 E152                                                |                      39 | Tailspin Toys        | Tailspin Toys        | Silver  |                       | 2005-01-04 00:00:00.000 |
|         1484 |         18964 | 2009-07-12 00:00:00.000 | 2009-07-22 00:00:00.000 | 200907125CS875 |                  41 |          4 |         504015 | The Phone Company Smart phones 160x160 M26 Grey                             |                      32 | The Phone Company    | The Phone Company    | Grey    | pounds                | 2005-02-24 00:00:00.000 |
|         1117 |         19040 | 2007-06-18 00:00:00.000 | 2007-06-28 00:00:00.000 | 200706184CS449 |                 221 |          1 |         402074 | Fabrikam SLR Camera 35" X358 Grey                                           |                      24 | Fabrikam, Inc.       | Fabrikam             | Grey    | pounds                | 2005-06-16 00:00:00.000 |
|         2228 |         19064 | 2009-03-23 00:00:00.000 | 2009-04-02 00:00:00.000 | 200903238CS742 |                 183 |          1 |         806039 | Adventure Works Desk Lamp E1300 Blue                                        |                      46 | Adventure Works      | Adventure Works      | Blue    | pounds                | 2005-05-04 00:00:00.000 |
|         1717 |         16544 | 2008-05-26 00:00:00.000 | 2008-06-02 00:00:00.000 | 20080526727543 |                   1 |          1 |         702011 | MGS Flight Simulator X M250                                                 |                      39 | Tailspin Toys        | Tailspin Toys        | Pink    |                       | 2006-05-08 00:00:00.000 |
|         1789 |          5722 | 2007-09-20 00:00:00.000 | 2007-09-27 00:00:00.000 | 20070920716721 |                   1 |          1 |         702083 | MGS Rise of Nations: Thrones and Patriots2009 E145                          |                      39 | Tailspin Toys        | Tailspin Toys        | Yellow  |                       | 2006-05-06 00:00:00.000 |
|         1705 |         13093 | 2009-05-19 00:00:00.000 | 2009-05-29 00:00:00.000 | 20090519724092 |                   1 |          1 |         701045 | SV Hand Games men M30 Silver                                                |                      38 | Southridge Video     | Southridge Video     | Silver  | pounds                | 2009-01-12 00:00:00.000 |
|         2100 |         18946 | 2009-05-24 00:00:00.000 | 2009-06-01 00:00:00.000 | 200905248CS856 |                 414 |          1 |         804016 | Contoso Water Heater 7.2GPM X1800 Silver                                    |                      44 | Contoso, Ltd         | Contoso              | Silver  | pounds                | 2007-04-25 00:00:00.000 |
|         2504 |         19139 | 2009-11-01 00:00:00.000 | 2009-11-11 00:00:00.000 | 200911015CS729 |                 435 |          1 |         505017 | Contoso Touch Stylus Pen E150 White                                         |                      33 | Contoso, Ltd         | Contoso              | White   | ounces                | 2007-06-24 00:00:00.000 |
|           33 |         19050 | 2008-10-13 00:00:00.000 | 2008-10-21 00:00:00.000 | 200810131CS564 |                  31 |          1 |         101033 | Contoso 32GB Video MP3 Player M3200 Black                                   |                       1 | Contoso, Ltd         | Contoso              | Black   | ounces                | 2008-06-02 00:00:00.000 |
|         2497 |         19011 | 2009-11-03 00:00:00.000 | 2009-11-12 00:00:00.000 | 200911035CS926 |                1401 |          1 |         505010 | Headphone Adapter for Contoso Phone E130 White                              |                      33 | Contoso, Ltd         | Contoso              | White   | ounces                | 2008-05-06 00:00:00.000 |
|         1970 |         18880 | 2008-10-22 00:00:00.000 | 2008-11-01 00:00:00.000 | 200810228CS785 |                 607 |          1 |         802074 | Litware Refrigerator 19CuFt M760 Grey                                       |                      42 | Litware, Inc.        | Litware              | Grey    | pounds                | 2008-03-06 00:00:00.000 |
|         2484 |         18908 | 2009-01-24 00:00:00.000 | 2009-02-01 00:00:00.000 | 200901248CS816 |                 458 |          1 |         808075 | Litware 18'' Oscillating Pedestal Fan M145 Pink                             |                      48 | Litware, Inc.        | Litware              | Pink    | pounds                | 2007-09-09 00:00:00.000 |
|         2508 |         18800 | 2007-11-08 00:00:00.000 | 2007-11-17 00:00:00.000 | 200711085CS507 |                 568 |          3 |         505021 | Contoso Rubberized Snap-On Cover Hard Case Cell Phone Protector E160 Silver |                      33 | Contoso, Ltd         | Contoso              | Silver  | ounces                | 2006-06-06 00:00:00.000 |
|         2501 |         19067 | 2009-05-13 00:00:00.000 | 2009-05-19 00:00:00.000 | 200905135CS746 |                1000 |          1 |         505014 | Contoso Phone Tough Skin Case E140 Pink                                     |                      33 | Contoso, Ltd         | Contoso              | Pink    | ounces                | 2009-04-13 00:00:00.000 |
|         1988 |         18842 | 2008-05-26 00:00:00.000 | 2008-06-06 00:00:00.000 | 200805268CS611 |                 569 |          1 |         803006 | Fabrikam Microwave 0.8CuFt E0800 White                                      |                      43 | Fabrikam, Inc.       | Fabrikam             | White   | pounds                | 2004-02-08 00:00:00.000 |
|         1111 |         19110 | 2008-11-28 00:00:00.000 | 2008-12-05 00:00:00.000 | 200811284CS656 |                  96 |          1 |         402068 | Fabrikam SLR Camera 35" M358 Black                                          |                      24 | Fabrikam, Inc.       | Fabrikam             | Black   | pounds                | 2005-01-03 00:00:00.000 |
|         2516 |         19094 | 2008-02-13 00:00:00.000 | 2008-02-24 00:00:00.000 | 200802135CS549 |                 350 |          1 |         505029 | Contoso In-Line Coupler E180 Black                                          |                      33 | Contoso, Ltd         | Contoso              | Black   | ounces                | 2006-07-28 00:00:00.000 |
|         1667 |         19144 | 2009-12-16 00:00:00.000 | 2009-12-22 00:00:00.000 | 200912167CS734 |                  43 |          1 |         701007 | MGS Hand Games for kids E300 Black                                          |                      38 | Tailspin Toys        | Tailspin Toys        | Black   | pounds                | 2008-03-09 00:00:00.000 |
|         1195 |         19059 | 2008-11-17 00:00:00.000 | 2008-11-23 00:00:00.000 | 200811174CS672 |                 194 |          2 |         405052 | Fabrikam Home and Vacation Moviemaker 2/3'' 17mm M103 Grey                  |                      27 | Fabrikam, Inc.       | Fabrikam             | Grey    | pounds                | 2007-04-19 00:00:00.000 |
|         1822 |         19134 | 2009-09-04 00:00:00.000 | 2009-09-14 00:00:00.000 | 200909047CS724 |                 553 |          1 |         702116 | MGS Age of Empires II: The Conquerors Expansion 2009 E178                   |                      39 | Tailspin Toys        | Tailspin Toys        | Blue    |                       | 2005-02-08 00:00:00.000 |
|         2443 |         18971 | 2009-07-27 00:00:00.000 | 2009-08-04 00:00:00.000 | 200907278CS883 |                 479 |          1 |         808034 | Litware 80mm Dual Ball Bearing Case Fan E1001 Black                         |                      48 | Litware, Inc.        | Litware              | Black   | pounds                | 2005-05-12 00:00:00.000 |
|         2490 |         19133 | 2009-08-28 00:00:00.000 | 2009-09-06 00:00:00.000 | 200908285CS723 |                1353 |          1 |         505003 | Contoso Rubberized Skin BlackBerry E100 White                               |                      33 | Contoso, Ltd         | Contoso              | White   | ounces                | 2004-11-02 00:00:00.000 |
|         2227 |         18881 | 2008-10-28 00:00:00.000 | 2008-11-08 00:00:00.000 | 200810288CS786 |                 140 |          1 |         806038 | Adventure Works Wall Lamp E3150 Blue                                        |                      46 | Adventure Works      | Adventure Works      | Blue    | pounds                | 2006-03-09 00:00:00.000 |
|         1426 |         18830 | 2008-04-05 00:00:00.000 | 2008-04-11 00:00:00.000 | 200804055CS593 |                 219 |          1 |         503019 | The Phone Company Touch Screen Phone 1600 TFT-1.4" L250 Grey                |                      31 | The Phone Company    | The Phone Company    | Grey    | ounces                | 2007-06-04 00:00:00.000 |
|         2076 |         19070 | 2009-07-09 00:00:00.000 | 2009-07-15 00:00:00.000 | 200907098CS757 |                 153 |          1 |         803094 | Contoso Microwave 1.0CuFt E0110 Red                                         |                      43 | Contoso, Ltd         | Contoso              | Red     | pounds                | 2006-03-08 00:00:00.000 |
|          486 |         18834 | 2008-04-19 00:00:00.000 | 2008-04-25 00:00:00.000 | 200804193CS602 |                 364 |          1 |         304026 | Proseware CRT19 E201 White                                                  |                      18 | Proseware, Inc.      | Proseware            | White   | pounds                | 2006-05-08 00:00:00.000 |
|         1971 |         18938 | 2009-05-03 00:00:00.000 | 2009-05-13 00:00:00.000 | 200905038CS847 |                 448 |          3 |         802075 | Litware Refrigerator 9.7CuFt M560 Grey                                      |                      42 | Litware, Inc.        | Litware              | Grey    | pounds                | 2007-03-08 00:00:00.000 |
|          698 |         19041 | 2007-04-12 00:00:00.000 | 2007-04-18 00:00:00.000 | 200704123CS489 |                  68 |          1 |         306057 | Proseware Wireless Photo All-in-One Printer M390 Grey                       |                      20 | Proseware, Inc.      | Proseware            | Grey    | pounds                | 2005-02-05 00:00:00.000 |
|         2339 |         18980 | 2009-08-17 00:00:00.000 | 2009-08-23 00:00:00.000 | 200908178CS892 |                 969 |          1 |         806150 | Litware Wall Lamp E3015 Grey                                                |                      46 | Litware, Inc.        | Litware              | Grey    | pounds                | 2006-03-09 00:00:00.000 |
|         2490 |         19029 | 2009-12-14 00:00:00.000 | 2009-12-22 00:00:00.000 | 200912145CS945 |                2101 |          1 |         505003 | Contoso Rubberized Skin BlackBerry E100 White                               |                      33 | Contoso, Ltd         | Contoso              | White   | ounces                | 2004-11-02 00:00:00.000 |
|          189 |         19088 | 2007-09-28 00:00:00.000 | 2007-10-06 00:00:00.000 | 200709282CS510 |                  53 |          1 |         202024 | SV 16xDVD M360 Silver                                                       |                      10 | Southridge Video     | Southridge Video     | Silver  | pounds                | 2007-01-01 00:00:00.000 |
|         2066 |         19049 | 2008-03-12 00:00:00.000 | 2008-03-22 00:00:00.000 | 200803128CS555 |                 407 |          1 |         803084 | Contoso Microwave 0.8CuFt E0080 Silver                                      |                      43 | Contoso, Ltd         | Contoso              | Silver  | pounds                | 2004-02-08 00:00:00.000 |
|         2102 |         19108 | 2008-10-30 00:00:00.000 | 2008-11-06 00:00:00.000 | 200810308CS648 |                 177 |          1 |         804018 | Contoso Water Heater 4.0GPM M1250 Silver                                    |                      44 | Contoso, Ltd         | Contoso              | Silver  | pounds                | 2007-01-05 00:00:00.000 |
|         1561 |         18939 | 2009-05-05 00:00:00.000 | 2009-05-13 00:00:00.000 | 200905055CS848 |                1136 |          1 |         504092 | The Phone Company PDA Phone 4.7 inches L360 White                           |                      32 | The Phone Company    | The Phone Company    | White   | ounces                | 2006-07-13 00:00:00.000 |
|         2267 |         19042 | 2007-08-22 00:00:00.000 | 2007-09-01 00:00:00.000 | 200708228CS496 |                 257 |          1 |         806078 | WWI Wall Lamp E315 Blue                                                     |                      46 | Wide World Importers | Wide World Importers | Blue    | pounds                | 2006-03-09 00:00:00.000 |
|         2506 |         19062 | 2009-02-04 00:00:00.000 | 2009-02-14 00:00:00.000 | 200902045CS737 |                 366 |          1 |         505019 | Contoso Rubberized Snap-On Cover Hard Case Cell Phone Protector E160 Pink   |                      33 | Contoso, Ltd         | Contoso              | Pink    | ounces                | 2006-06-06 00:00:00.000 |
|         1293 |         18328 | 2007-02-12 00:00:00.000 | 2007-02-22 00:00:00.000 | 20070212729327 |                   3 |          1 |         406047 | Contoso Telephoto Conversion Lens X400 Silver                               |                      28 | Contoso, Ltd         | Contoso              | Silver  | ounces                | 2009-04-17 00:00:00.000 |
|          844 |         18942 | 2009-05-13 00:00:00.000 | 2009-05-23 00:00:00.000 | 200905133CS851 |                 415 |          4 |         308102 | Contoso Bright Light battery E20 Pink                                       |                      22 | Contoso, Ltd         | Contoso              | Pink    |                       | 2005-01-31 00:00:00.000 |
|         1384 |         18975 | 2009-08-05 00:00:00.000 | 2009-08-13 00:00:00.000 | 200908055CS887 |                 608 |          1 |         501069 | Contoso 3 Handset Cordless Phone System E30 Grey                            |                      29 | Contoso, Ltd         | Contoso              | Grey    | pounds                | 2005-01-03 00:00:00.000 |



label: ProductKey
Product Code
ProductKey
Product Name
ProductKey
ProductSubcategoryKey
ProductKey
Manufacturer
ProductKey
Brand
ProductKey
Color
ProductKey
Weight Unit Measure
ProductKey
Available Date
output: {"Functional-Dependency": [["ProductKey", "Product Code"], ["ProductKey", "Product Name"], ["ProductKey", "ProductSubcategoryKey"], ["ProductKey", "Manufacturer"], ["ProductKey", "Brand"], ["ProductKey", "Color"], ["ProductKey", "Weight Unit Measure"], ["ProductKey", "Available Date"]]}
labeled_fds: ProductKey
Product Code
ProductKey
Product Name
ProductKey
ProductSubcategoryKey
ProductKey
Manufacturer
ProductKey
Brand
ProductKey
Color
ProductKey
Weight Unit Measure
ProductKey
Available Date
Order Date
Weight Unit Measure
Order Number
Quantity
Order Number
Product Code
Order Number
Product Name
Order Number
ProductSubcategoryKey
Order Number
Color
Order Number
Weight Unit Measure
Order Number
Available Date
source: $MMTU_HOME/resources/Relationship-finding/FD/174143752