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 |   OrderDateKey | Order Date              | Delivery Date           | Order Number   |   Order Line Number |   Quantity |   Product Code | Product Name                                                              | Manufacturer         | Brand                | Color       | Available Date          | Subcategory              | Category               |
|-------------:|--------------:|---------------:|:------------------------|:------------------------|:---------------|--------------------:|-----------:|---------------:|:--------------------------------------------------------------------------|:---------------------|:---------------------|:------------|:------------------------|:-------------------------|:-----------------------|
|          759 |         19135 |       20090914 | 2009-09-14 00:00:00.000 | 2009-09-20 00:00:00.000 | 200909143CS725 |                 282 |          1 |         308017 | Contoso 90W AC/DC Power Adapter E300 Black                                | Contoso, Ltd         | Contoso              | Black       | 2005-06-16 00:00:00.000 | Computers Accessories    | Computers              |
|          758 |         18887 |       20081116 | 2008-11-16 00:00:00.000 | 2008-11-23 00:00:00.000 | 200811163CS794 |                 351 |          1 |         308016 | Contoso Connectivity Starter Kit Smart Buy M680 Black                     | Contoso, Ltd         | Contoso              | Black       | 2007-11-15 00:00:00.000 | Computers Accessories    | Computers              |
|         2506 |         18929 |       20090405 | 2009-04-05 00:00:00.000 | 2009-04-11 00:00:00.000 | 200904055CS838 |                1377 |          1 |         505019 | Contoso Rubberized Snap-On Cover Hard Case Cell Phone Protector E160 Pink | Contoso, Ltd         | Contoso              | Pink        | 2006-06-06 00:00:00.000 | Cell phones Accessories  | Cell phones            |
|         1663 |         10249 |       20090630 | 2009-06-30 00:00:00.000 | 2009-07-09 00:00:00.000 | 20090630721248 |                   1 |          1 |         701003 | MGS Hand Games men M300 Yellow                                            | Tailspin Toys        | Tailspin Toys        | Yellow      | 2009-01-02 00:00:00.000 | Boxed Games              | Games and Toys         |
|          447 |         19113 |       20090114 | 2009-01-14 00:00:00.000 | 2009-01-22 00:00:00.000 | 200901143CS680 |                 137 |          2 |         303032 | WWI Desktop PC1.80 E1800 Black                                            | Wide World Importers | Wide World Importers | Black       | 2005-01-02 00:00:00.000 | Desktops                 | Computers              |
|            8 |          6091 |       20070530 | 2007-05-30 00:00:00.000 | 2007-06-10 00:00:00.000 | 20070530117090 |                   1 |          1 |         101008 | Contoso 4G MP3 Player E400 Silver                                         | Contoso, Ltd         | Contoso              | Silver      | 2007-04-16 00:00:00.000 | MP4&MP3                  | Audio                  |
|         1127 |         19108 |       20081114 | 2008-11-14 00:00:00.000 | 2008-11-22 00:00:00.000 | 200811144CS648 |                 139 |          4 |         402084 | Fabrikam SLR Camera 35" M358 Gold                                         | Fabrikam, Inc.       | Fabrikam             | Gold        | 2006-07-03 00:00:00.000 | Digital SLR Cameras      | Cameras and camcorders |
|         1114 |         19091 |       20071224 | 2007-12-24 00:00:00.000 | 2008-01-02 00:00:00.000 | 200712244CS519 |                 241 |          1 |         402071 | Fabrikam SLR Camera M147 Silver                                           | Fabrikam, Inc.       | Fabrikam             | Silver      | 2006-03-02 00:00:00.000 | Digital SLR Cameras      | Cameras and camcorders |
|          280 |         18962 |       20090706 | 2009-07-06 00:00:00.000 | 2009-07-16 00:00:00.000 | 200907062CS873 |                 191 |          3 |         203089 | Contoso Home Theater System 2.1 Channel M1210 Brown                       | Contoso, Ltd         | Contoso              | Brown       | 2005-01-05 00:00:00.000 | Home Theater System      | TV and Video           |
|          244 |          4269 |       20070113 | 2007-01-13 00:00:00.000 | 2007-01-20 00:00:00.000 | 20070113215268 |                   1 |          1 |         203053 | Contoso Home Theater System 5.1 Channel M1500 Black                       | Contoso, Ltd         | Contoso              | Black       | 2005-04-05 00:00:00.000 | Home Theater System      | TV and Video           |
|         1664 |          2377 |       20091028 | 2009-10-28 00:00:00.000 | 2009-11-04 00:00:00.000 | 20091028713376 |                   1 |          1 |         701004 | MGS Hand Games women M400 Yellow                                          | Tailspin Toys        | Tailspin Toys        | Yellow      | 2006-02-08 00:00:00.000 | Boxed Games              | Games and Toys         |
|         2498 |         19074 |       20090912 | 2009-09-12 00:00:00.000 | 2009-09-19 00:00:00.000 | 200909125CS764 |                 175 |          3 |         505011 | Contoso Phone Tough Skin Case E140 Black                                  | Contoso, Ltd         | Contoso              | Black       | 2009-04-13 00:00:00.000 | Cell phones Accessories  | Cell phones            |
|         1774 |         18929 |       20090405 | 2009-04-05 00:00:00.000 | 2009-04-12 00:00:00.000 | 200904057CS838 |                 162 |          1 |         702068 | MGS Halo 2 for Windows Vista 2009 E130                                    | Tailspin Toys        | Tailspin Toys        | Silver      | 2005-02-03 00:00:00.000 | Download Games           | Games and Toys         |
|          561 |         19066 |       20090321 | 2009-03-21 00:00:00.000 | 2009-03-31 00:00:00.000 | 200903213CS744 |                  52 |          1 |         305023 | Proseware Screen 85in E1010 White                                         | Proseware, Inc.      | Proseware            | White       | 2006-01-05 00:00:00.000 | Projectors & Screens     | Computers              |
|         1697 |          1252 |       20070819 | 2007-08-19 00:00:00.000 | 2007-08-30 00:00:00.000 | 20070819712251 |                   1 |          1 |         701037 | SV Hand Games for kids E30 Red                                            | Southridge Video     | Southridge Video     | Red         | 2007-07-09 00:00:00.000 | Boxed Games              | Games and Toys         |
|         1697 |          9868 |       20080305 | 2008-03-05 00:00:00.000 | 2008-03-13 00:00:00.000 | 20080305720867 |                   1 |          1 |         701037 | SV Hand Games for kids E30 Red                                            | Southridge Video     | Southridge Video     | Red         | 2007-07-09 00:00:00.000 | Boxed Games              | Games and Toys         |
|         2089 |         15362 |       20080525 | 2008-05-25 00:00:00.000 | 2008-05-31 00:00:00.000 | 20080525826361 |                   1 |          1 |         804005 | Contoso Water Heater 1.5GPM E0800 White                                   | Contoso, Ltd         | Contoso              | White       | 2005-02-09 00:00:00.000 | Water Heaters            | Home Appliances        |
|         1493 |         19053 |       20080612 | 2008-06-12 00:00:00.000 | 2008-06-23 00:00:00.000 | 200806125CS586 |                  89 |          1 |         504024 | The Phone Company Smart phones 8 GB of Memory M400 White                  | The Phone Company    | The Phone Company    | White       | 2007-07-07 00:00:00.000 | Smart phones & PDAs      | Cell phones            |
|         2510 |         19093 |       20080131 | 2008-01-31 00:00:00.000 | 2008-02-10 00:00:00.000 | 200801315CS534 |                 215 |          1 |         505023 | Contoso Original K1m Li-Ion Standard Battery E170 White                   | Contoso, Ltd         | Contoso              | White       | 2007-04-05 00:00:00.000 | Cell phones Accessories  | Cell phones            |
|         1365 |         18787 |       20070828 | 2007-08-28 00:00:00.000 | 2007-09-06 00:00:00.000 | 200708285CS464 |                 280 |          1 |         501050 | Contoso 2-Line Corded Cordless Telephone M202 White                       | Contoso, Ltd         | Contoso              | White       | 2005-06-16 00:00:00.000 | Home & Office Phones     | Cell phones            |
|          296 |         19142 |       20091129 | 2009-11-29 00:00:00.000 | 2009-12-05 00:00:00.000 | 200911292CS732 |                 228 |          1 |         205005 | SV Car Video TFT6.2W E6281 Black                                          | Southridge Video     | Southridge Video     | Black       | 2005-09-08 00:00:00.000 | Car Video                | TV and Video           |
|         2047 |         19089 |       20071027 | 2007-10-27 00:00:00.000 | 2007-11-05 00:00:00.000 | 200710278CS512 |                  37 |          1 |         803065 | Litware Microwave 0.9CuFt E090 Black                                      | Litware, Inc.        | Litware              | Black       | 2005-02-09 00:00:00.000 | Microwaves               | Home Appliances        |
|          309 |         19118 |       20090310 | 2009-03-10 00:00:00.000 | 2009-03-20 00:00:00.000 | 200903102CS708 |                 142 |          1 |         205018 | SV Car Video LCD7W M7081 Silver                                           | Southridge Video     | Southridge Video     | Silver      | 2006-04-05 00:00:00.000 | Car Video                | TV and Video           |
|         2490 |         19061 |       20090125 | 2009-01-25 00:00:00.000 | 2009-02-01 00:00:00.000 | 200901255CS736 |                1604 |          3 |         505003 | Contoso Rubberized Skin BlackBerry E100 White                             | Contoso, Ltd         | Contoso              | White       | 2004-11-02 00:00:00.000 | Cell phones Accessories  | Cell phones            |
|         2417 |         18879 |       20081015 | 2008-10-15 00:00:00.000 | 2008-10-24 00:00:00.000 | 200810158CS784 |                  94 |          1 |         808008 | Litware 3-Speed Oscillating Blower Fan M115 Black                         | Litware, Inc.        | Litware              | Black       | 2007-02-04 00:00:00.000 | Fans                     | Home Appliances        |
|         2204 |         18959 |       20090627 | 2009-06-27 00:00:00.000 | 2009-07-03 00:00:00.000 | 200906278CS870 |                 141 |          1 |         806015 | Adventure Works Desk Lamp E1300 White                                     | Adventure Works      | Adventure Works      | White       | 2005-05-04 00:00:00.000 | Lamps                    | Home Appliances        |
|            8 |          5763 |       20070301 | 2007-03-01 00:00:00.000 | 2007-03-13 00:00:00.000 | 20070301716762 |                   2 |          1 |         101008 | Contoso 4G MP3 Player E400 Silver                                         | Contoso, Ltd         | Contoso              | Silver      | 2007-04-16 00:00:00.000 | MP4&MP3                  | Audio                  |
|         2490 |         18861 |       20080813 | 2008-08-13 00:00:00.000 | 2008-08-23 00:00:00.000 | 200808135CS667 |                 593 |          1 |         505003 | Contoso Rubberized Skin BlackBerry E100 White                             | Contoso, Ltd         | Contoso              | White       | 2004-11-02 00:00:00.000 | Cell phones Accessories  | Cell phones            |
|         2156 |         19078 |       20091221 | 2009-12-21 00:00:00.000 | 2009-12-30 00:00:00.000 | 200912218CS780 |                 234 |          1 |         805041 | Adventure Works Coffee Maker 5C E090 White                                | Adventure Works      | Adventure Works      | White       | 2005-02-09 00:00:00.000 | Coffee Machines          | Home Appliances        |
|         2411 |         19111 |       20081222 | 2008-12-22 00:00:00.000 | 2008-12-28 00:00:00.000 | 200812228CS669 |                 139 |          2 |         808002 | Litware 3-Speed Oscillating High-Performance Fan E201 White               | Litware, Inc.        | Litware              | White       | 2006-02-25 00:00:00.000 | Fans                     | Home Appliances        |
|         1954 |         19052 |       20080517 | 2008-05-17 00:00:00.000 | 2008-05-26 00:00:00.000 | 200805178CS576 |                 455 |          1 |         802058 | Litware Refrigerator 4.6CuFt E280 Silver                                  | Litware, Inc.        | Litware              | Silver      | 2006-02-09 00:00:00.000 | Refrigerators            | Home Appliances        |
|          344 |         19100 |       20080607 | 2008-06-07 00:00:00.000 | 2008-06-14 00:00:00.000 | 200806073CS596 |                 217 |          1 |         301007 | Fabrikam Laptop12 M2000 White                                             | Fabrikam, Inc.       | Fabrikam             | White       | 2006-02-08 00:00:00.000 | Laptops                  | Computers              |
|         2496 |         18877 |       20081010 | 2008-10-10 00:00:00.000 | 2008-10-18 00:00:00.000 | 200810105CS782 |                 423 |          1 |         505009 | Headphone Adapter for Contoso Phone E130 Silver                           | Contoso, Ltd         | Contoso              | Silver      | 2008-05-06 00:00:00.000 | Cell phones Accessories  | Cell phones            |
|          528 |         19066 |       20090501 | 2009-05-01 00:00:00.000 | 2009-05-10 00:00:00.000 | 200905013CS744 |                 110 |          1 |         304068 | WWI LCD24 X300 White                                                      | Wide World Importers | Wide World Importers | White       | 2006-11-21 00:00:00.000 | Monitors                 | Computers              |
|         2428 |         19136 |       20090928 | 2009-09-28 00:00:00.000 | 2009-10-07 00:00:00.000 | 200909288CS726 |                  39 |          1 |         808019 | Litware Mobile Fan External USB Cooling Fan E601 White                    | Litware, Inc.        | Litware              | White       | 2007-03-12 00:00:00.000 | Fans                     | Home Appliances        |
|         2494 |         18837 |       20080502 | 2008-05-02 00:00:00.000 | 2008-05-12 00:00:00.000 | 200805025CS605 |                 378 |          1 |         505007 | Reusable Phone Screen Protector E120                                      | Contoso, Ltd         | Contoso              | Transparent | 2007-03-04 00:00:00.000 | Cell phones Accessories  | Cell phones            |
|         1402 |         19001 |       20091007 | 2009-10-07 00:00:00.000 | 2009-10-15 00:00:00.000 | 200910075CS914 |                 602 |          1 |         501087 | Contoso Expandable 4-Handset Cordless Phone System M206 Grey              | Contoso, Ltd         | Contoso              | Grey        | 2005-04-16 00:00:00.000 | Home & Office Phones     | Cell phones            |
|         2440 |         19071 |       20090723 | 2009-07-23 00:00:00.000 | 2009-07-30 00:00:00.000 | 200907238CS760 |                 581 |          3 |         808031 | Litware 120mm Blue LED Case Fan E901 White                                | Litware, Inc.        | Litware              | White       | 2006-02-03 00:00:00.000 | Fans                     | Home Appliances        |
|         1139 |         18901 |       20081229 | 2008-12-29 00:00:00.000 | 2009-01-06 00:00:00.000 | 200812294CS809 |                 480 |          1 |         402096 | Fabrikam SLR Camera 35" M358 Orange                                       | Fabrikam, Inc.       | Fabrikam             | Orange      | 2006-02-28 00:00:00.000 | Digital SLR Cameras      | Cameras and camcorders |
|         1175 |         19100 |       20080610 | 2008-06-10 00:00:00.000 | 2008-06-17 00:00:00.000 | 200806104CS596 |                 449 |          1 |         405032 | Fabrikam Budget Moviemaker 2/3'' 17mm E100 White                          | Fabrikam, Inc.       | Fabrikam             | White       | 2007-02-08 00:00:00.000 | Camcorders               | Cameras and camcorders |
|          895 |         19125 |       20090609 | 2009-06-09 00:00:00.000 | 2009-06-16 00:00:00.000 | 200906093CS715 |                 147 |          1 |         308153 | SV Keyboard E90 Silver                                                    | Southridge Video     | Southridge Video     | Silver      | 2005-05-31 00:00:00.000 | Computers Accessories    | Computers              |
|         2516 |         19054 |       20080706 | 2008-07-06 00:00:00.000 | 2008-07-17 00:00:00.000 | 200807065CS588 |                 269 |          1 |         505029 | Contoso In-Line Coupler E180 Black                                        | Contoso, Ltd         | Contoso              | Black       | 2006-07-28 00:00:00.000 | Cell phones Accessories  | Cell phones            |
|          275 |         13173 |       20070214 | 2007-02-14 00:00:00.000 | 2007-02-23 00:00:00.000 | 20070214224172 |                   1 |          4 |         203084 | Contoso Home Theater System 2.1 Channel E1220 White                       | Contoso, Ltd         | Contoso              | White       | 2004-01-01 00:00:00.000 | Home Theater System      | TV and Video           |
|         1770 |         19134 |       20090904 | 2009-09-04 00:00:00.000 | 2009-09-10 00:00:00.000 | 200909047CS724 |                 581 |          1 |         702064 | MGS Age of Empires III: The Asian Dynasties 2008 E126                     | Tailspin Toys        | Tailspin Toys        | White       | 2006-02-08 00:00:00.000 | Download Games           | Games and Toys         |
|         1456 |         19039 |       20070506 | 2007-05-06 00:00:00.000 | 2007-05-16 00:00:00.000 | 200705065CS429 |                 387 |          1 |         503049 | The Phone Company Sharp Touch Screen Phones M910 Gold                     | The Phone Company    | The Phone Company    | Gold        | 2006-02-28 00:00:00.000 | Touch Screen Phones      | Cell phones            |
|          698 |         19041 |       20070412 | 2007-04-12 00:00:00.000 | 2007-04-24 00:00:00.000 | 200704123CS489 |                  67 |          1 |         306057 | Proseware Wireless Photo All-in-One Printer M390 Grey                     | Proseware, Inc.      | Proseware            | Grey        | 2005-02-05 00:00:00.000 | Printers, Scanners & Fax | Computers              |
|          935 |         18868 |       20080904 | 2008-09-04 00:00:00.000 | 2008-09-15 00:00:00.000 | 200809043CS688 |                 494 |          1 |         308193 | SV 4GB Laptop Memory M65 Yellow                                           | Southridge Video     | Southridge Video     | Yellow      | 2007-05-31 00:00:00.000 | Computers Accessories    | Computers              |
|          906 |         19120 |       20090419 | 2009-04-19 00:00:00.000 | 2009-04-28 00:00:00.000 | 200904193CS710 |                  87 |          1 |         308164 | SV 40GB USB2.0 Portable Hard Disk E400 Yellow                             | Southridge Video     | Southridge Video     | Yellow      | 2006-03-15 00:00:00.000 | Computers Accessories    | Computers              |
|          752 |         19103 |       20080730 | 2008-07-30 00:00:00.000 | 2008-08-06 00:00:00.000 | 200807303CS628 |                 268 |          3 |         308010 | Contoso Power Inverter - DC to AC power inverter E900 Black               | Contoso, Ltd         | Contoso              | Black       | 2006-09-03 00:00:00.000 | Computers Accessories    | Computers              |
|          646 |         19084 |       20070401 | 2007-04-01 00:00:00.000 | 2007-04-10 00:00:00.000 | 200704013CS487 |                  44 |          1 |         306005 | Proseware Laser Jet All in one X300 Black                                 | Proseware, Inc.      | Proseware            | Black       | 2005-02-08 00:00:00.000 | Printers, Scanners & Fax | Computers              |



label: ProductKey
Product Code
ProductKey
Product Name
ProductKey
Manufacturer
ProductKey
Brand
ProductKey
Color
ProductKey
Available Date
ProductKey
Subcategory
ProductKey
Category
output: {"Functional-Dependency": [["ProductKey", "Product Code"], ["ProductKey", "Product Name"], ["ProductKey", "Manufacturer"], ["ProductKey", "Brand"], ["ProductKey", "Color"], ["ProductKey", "Available Date"], ["ProductKey", "Subcategory"], ["ProductKey", "Category"]]}
labeled_fds: ProductKey
Product Code
ProductKey
Product Name
ProductKey
Manufacturer
ProductKey
Brand
ProductKey
Color
ProductKey
Available Date
ProductKey
Subcategory
ProductKey
Category
OrderDateKey
Quantity
OrderDateKey
Manufacturer
Delivery Date
Brand
Order Number
ProductKey
Order Number
Quantity
Order Number
Product Code
Order Number
Product Name
Order Number
Manufacturer
Order Number
Brand
Order Number
Color
Order Number
Available Date
Order Number
Subcategory
Order Number
Category
source: $MMTU_HOME/resources/Relationship-finding/FD/120561820