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:
| movie_title                            | release_date_many       | genre               | MPAA_rating   |   gross_with_inflation |     gross |   ReleaseYear |   FilmAge | release_date            | hero                    | villian             | song                  |
|:---------------------------------------|:------------------------|:--------------------|:--------------|-----------------------:|----------:|--------------:|----------:|:------------------------|:------------------------|:--------------------|:----------------------|
| Pooh's Heffalump Movie                 | 2005-02-11 00:00:00.000 | Adventure           | G             |               23801835 |  18098433 |          2005 |        17 |                         |                         |                     |                       |
| Signs                                  | 2002-08-02 00:00:00.000 | Thriller/Suspense   | PG-13         |              330754439 | 227965690 |          2002 |        20 |                         |                         |                     |                       |
| African Cats                           | 2011-04-22 00:00:00.000 | Documentary         | G             |               16401551 |  15428747 |          2011 |        11 |                         |                         |                     |                       |
| Guilty as Sin                          | 1993-06-04 00:00:00.000 | Thriller/Suspense   | R             |               46064723 |  22622537 |          1993 |        29 |                         |                         |                     |                       |
| Nixon                                  | 1995-12-20 00:00:00.000 | Drama               | R             |               26302005 |  13668249 |          1995 |        27 |                         |                         |                     |                       |
| The Marrying Man                       | 1991-04-05 00:00:00.000 | Romantic Comedy     | R             |               24939118 |  12454768 |          1991 |        31 |                         |                         |                     |                       |
| The Lookout                            | 2007-03-30 00:00:00.000 | Drama               | R             |                5637048 |   4600585 |          2007 |        15 |                         |                         |                     |                       |
| My Science Project                     | 1985-08-09 00:00:00.000 | Comedy              |               |                9736051 |   4100000 |          1985 |        37 |                         |                         |                     |                       |
| Secretariat                            | 2010-10-08 00:00:00.000 | Drama               | PG            |               63781920 |  59699513 |          2010 |        12 |                         |                         |                     |                       |
| You Again                              | 2010-09-24 00:00:00.000 | Comedy              | PG            |               27461121 |  25702053 |          2010 |        12 |                         |                         |                     |                       |
| The Ladykillers                        | 2004-03-26 00:00:00.000 | Comedy              | R             |               53881593 |  39692139 |          2004 |        18 |                         |                         |                     |                       |
| Jack                                   | 1996-08-09 00:00:00.000 | Drama               | PG-13         |              111792852 |  58617334 |          1996 |        26 |                         |                         |                     |                       |
| High Heels and Low Lifes               | 2001-10-26 00:00:00.000 |                     | R             |                 337782 |    226792 |          2001 |        21 |                         |                         |                     |                       |
| Phenomenon                             | 1996-07-05 00:00:00.000 | Drama               | PG            |              199559799 | 104636382 |          1996 |        26 |                         |                         |                     |                       |
| Up                                     | 2009-05-29 00:00:00.000 | Adventure           | PG            |              329336681 | 293004164 |          2009 |        13 |                         |                         |                     |                       |
| Roving Mars                            | 2006-01-27 00:00:00.000 | Documentary         | G             |               12948025 |  10407978 |          2006 |        16 |                         |                         |                     |                       |
| Return to Oz                           | 1985-06-21 00:00:00.000 | Adventure           |               |               25215934 |  10618813 |          1985 |        37 |                         |                         |                     |                       |
| Toy Story 3                            | 2010-06-18 00:00:00.000 | Adventure           | G             |              443408255 | 415004880 |          2010 |        12 |                         |                         |                     |                       |
| Jonas Brothers: The 3D Concert Experi… | 2009-02-27 00:00:00.000 | Concert/Performance | G             |               38174685 |  38174685 |          2009 |        13 |                         |                         |                     |                       |
| Duets                                  | 2000-09-15 00:00:00.000 | Drama               | R             |                7404372 |   4734235 |          2000 |        22 |                         |                         |                     |                       |
| Super Mario Bros.                      | 1993-05-28 00:00:00.000 | Action              | PG            |               42445058 |  20844907 |          1993 |        29 |                         |                         |                     |                       |
| Mr. 3000                               | 2004-09-17 00:00:00.000 | Comedy              | PG-13         |               29593641 |  21800302 |          2004 |        18 |                         |                         |                     |                       |
| Tarzan                                 | 1999-06-16 00:00:00.000 | Adventure           | G             |              283900254 | 171091819 |          1999 |        23 | 1999-06-18 00:00:00.000 | Tarzan                  | Clayton             | You'll Be in My Heart |
| D.O.A.                                 | 1988-03-18 00:00:00.000 | Thriller/Suspense   |               |               26062188 |  12706478 |          1988 |        34 |                         |                         |                     |                       |
| Houseguest                             | 1995-01-06 00:00:00.000 | Comedy              | PG            |               51016522 |  26325256 |          1995 |        27 |                         |                         |                     |                       |
| Peter Pan: Return to Neverland         | 2002-02-15 00:00:00.000 | Adventure           | G             |               70269715 |  48430258 |          2002 |        20 |                         |                         |                     |                       |
| Homeward Bound II: Lost in San Franc…  | 1996-03-08 00:00:00.000 | Adventure           | G             |               62384706 |  32709423 |          1996 |        26 |                         |                         |                     |                       |
| The Boatniks                           | 1970-07-01 00:00:00.000 | Comedy              |               |              101200742 |  18607492 |          1970 |        52 |                         |                         |                     |                       |
| The Distinguished Gentleman            | 1992-12-04 00:00:00.000 | Comedy              | R             |               94349900 |  46434570 |          1992 |        30 |                         |                         |                     |                       |
| America's Heart and Soul               | 2004-07-02 00:00:00.000 | Documentary         | Not Rated     |                 426246 |    314000 |          2004 |        18 |                         |                         |                     |                       |
| Big Business                           | 1988-06-10 00:00:00.000 | Comedy              | PG            |               82352451 |  40150487 |          1988 |        34 |                         |                         |                     |                       |
| Alexander and the Terrible, Horrible,… | 2014-10-10 00:00:00.000 | Comedy              | PG            |               69055550 |  66954149 |          2014 |         8 |                         |                         |                     |                       |
| Moana                                  | 2016-11-23 00:00:00.000 | Adventure           | PG            |              246082029 | 246082029 |          2016 |         6 | 2016-11-23 00:00:00.000 | Moana                   |                     | How Far I'll Go       |
| The Odd Life of Timothy Green          | 2012-08-15 00:00:00.000 | Drama               | PG            |               54914942 |  51853450 |          2012 |        10 |                         |                         |                     |                       |
| Déjà Vu                                | 2006-11-22 00:00:00.000 | Thriller/Suspense   | PG-13         |               82267038 |  64038616 |          2006 |        16 |                         |                         |                     |                       |
| Monsters, Inc.                         | 2001-11-02 00:00:00.000 | Adventure           | G             |              416073179 | 289423425 |          2001 |        21 |                         |                         |                     |                       |
| The Rescuers Down Under                | 1990-11-16 00:00:00.000 | Adventure           | G             |               55796728 |  27931461 |          1990 |        32 | 1990-11-16 00:00:00.000 | Bernard and Miss Bianca | Percival C. McLeach |                       |
| Bubble Boy                             | 2001-08-24 00:00:00.000 | Comedy              | PG-13         |                7450434 |   5002310 |          2001 |        21 |                         |                         |                     |                       |
| What About Bob?                        | 1991-05-17 00:00:00.000 | Comedy              | PG            |              127571325 |  63710000 |          1991 |        31 |                         |                         |                     |                       |
| The Apple Dumpling Gang                | 1975-07-01 00:00:00.000 | Comedy              |               |              131246872 |  31916500 |          1975 |        47 |                         |                         |                     |                       |
| Ernest Goes to Jail                    | 1990-04-06 00:00:00.000 | Comedy              | PG            |               49999822 |  25029569 |          1990 |        32 |                         |                         |                     |                       |
| ESPN's Ultimate X - The Movie          | 2002-05-10 00:00:00.000 | Documentary         | PG            |                6089874 |   4197175 |          2002 |        20 |                         |                         |                     |                       |
| The Joy Luck Club                      | 1993-09-08 00:00:00.000 | Drama               | R             |               66768171 |  32790064 |          1993 |        29 |                         |                         |                     |                       |
| Snow Dogs                              | 2002-01-18 00:00:00.000 | Comedy              | PG            |              117745317 |  81150692 |          2002 |        20 |                         |                         |                     |                       |
| Mad Love                               | 1995-05-26 00:00:00.000 | Drama               | PG-13         |               29934306 |  15446532 |          1995 |        27 |                         |                         |                     |                       |
| Ratatouille                            | 2007-06-29 00:00:00.000 | Comedy              | G             |              252955933 | 206445654 |          2007 |        15 |                         |                         |                     |                       |
| Wild Hogs                              | 2007-03-02 00:00:00.000 | Comedy              | PG-13         |              206110533 | 168213584 |          2007 |        15 |                         |                         |                     |                       |
| Meet the Robinsons                     | 2007-03-30 00:00:00.000 | Adventure           | G             |              119860589 |  97822171 |          2007 |        15 | 2007-03-30 00:00:00.000 | Lewis                   | Doris               | Little Wonders        |
| Under the Tuscan Sun                   | 2003-09-26 00:00:00.000 | Comedy              | PG-13         |               60944053 |  43601508 |          2003 |        19 |                         |                         |                     |                       |
| The Other Sister                       | 1999-02-26 00:00:00.000 | Romantic Comedy     | PG-13         |               46145331 |  27807627 |          1999 |        23 |                         |                         |                     |                       |



label: movie_title
release_date
movie_title
hero
movie_title
villian
movie_title
song
output: {"Functional-Dependency": [["movie_title", "release_date"], ["movie_title", "hero"], ["movie_title", "villian"], ["movie_title", "song"]]}
labeled_fds: movie_title
release_date
movie_title
hero
movie_title
villian
movie_title
song
movie_title
release_date_many
movie_title
genre
movie_title
MPAA_rating
movie_title
gross_with_inflation
movie_title
FilmAge
release_date_many
movie_title
gross_with_inflation
movie_title
gross_with_inflation
release_date_many
gross_with_inflation
genre
gross_with_inflation
ReleaseYear
gross_with_inflation
FilmAge
gross
movie_title
gross
release_date_many
gross
genre
gross
ReleaseYear
gross
FilmAge
ReleaseYear
release_date
ReleaseYear
hero
ReleaseYear
villian
ReleaseYear
song
FilmAge
hero
FilmAge
villian
FilmAge
song
release_date
release_date_many
release_date
genre
release_date
MPAA_rating
release_date
gross_with_inflation
release_date
gross
release_date
ReleaseYear
release_date
FilmAge
hero
release_date_many
hero
genre
hero
MPAA_rating
hero
gross_with_inflation
hero
gross
hero
ReleaseYear
hero
FilmAge
hero
release_date
hero
villian
villian
release_date_many
villian
genre
villian
MPAA_rating
villian
gross_with_inflation
villian
gross
villian
ReleaseYear
villian
FilmAge
song
movie_title
song
release_date_many
song
genre
song
MPAA_rating
song
gross
song
ReleaseYear
song
release_date
source: $MMTU_HOME/resources/Relationship-finding/FD/337358266