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:
|   raceId |   year |   round |   circuitId | name_many                     | date                    | time     | url_many                                                        | data_string    | circuitRef     | name                           | location       | country      |     lat |     lng | alt   | url                                                                 |
|---------:|-------:|--------:|------------:|:------------------------------|:------------------------|:---------|:----------------------------------------------------------------|:---------------|:---------------|:-------------------------------|:---------------|:-------------|--------:|--------:|:------|:--------------------------------------------------------------------|
|      562 |   1976 |       3 |          43 | United States Grand Prix West | 1976-03-28 00:00:00.000 |          | http://en.wikipedia.org/wiki/1976_United_States_Grand_Prix_West | 28 de março    | long_beach     | Long Beach                     | California     | USA          |  337651 | -118189 |       | http://en.wikipedia.org/wiki/Long_Beach,_California                 |
|      873 |   2012 |      14 |          15 | Singapore Grand Prix          | 2012-09-23 00:00:00.000 | 12:00:00 | http://en.wikipedia.org/wiki/2012_Singapore_Grand_Prix          | 23 de setembro | marina_bay     | Marina Bay Street Circuit      | Marina Bay     | Singapore    |   12914 |  103864 |       | http://en.wikipedia.org/wiki/Marina_Bay_Street_Circuit              |
|      299 |   1992 |      11 |          11 | Hungarian Grand Prix          | 1992-08-16 00:00:00.000 |          | http://en.wikipedia.org/wiki/1992_Hungarian_Grand_Prix          | 16 de agosto   | hungaroring    | Hungaroring                    | Budapest       | Hungary      |  475789 |  192486 |       | http://en.wikipedia.org/wiki/Hungaroring                            |
|      418 |   1986 |      15 |          32 | Mexican Grand Prix            | 1986-10-12 00:00:00.000 |          | http://en.wikipedia.org/wiki/1986_Mexican_Grand_Prix            | 12 de outubro  | rodriguez      | Autódromo Hermanos Rodríguez   | Mexico City    | Mexico       |  194042 | -990907 |       | http://en.wikipedia.org/wiki/Aut%C3%B3dromo_Hermanos_Rodr%C3%ADguez |
|       12 |   2009 |      12 |          13 | Belgian Grand Prix            | 2009-08-30 00:00:00.000 | 12:00:00 | http://en.wikipedia.org/wiki/2009_Belgian_Grand_Prix            | 30 de agosto   | spa            | Circuit de Spa-Francorchamps   | Spa            | Belgium      |  504372 |  597139 |       | http://en.wikipedia.org/wiki/Circuit_de_Spa-Francorchamps           |
|      687 |   1967 |       9 |          14 | Italian Grand Prix            | 1967-09-10 00:00:00.000 |          | http://en.wikipedia.org/wiki/1967_Italian_Grand_Prix            | 10 de setembro | monza          | Autodromo Nazionale di Monza   | Monza          | Italy        |  456156 |  928111 |       | http://en.wikipedia.org/wiki/Autodromo_Nazionale_Monza              |
|      355 |   2010 |      19 |          24 | Abu Dhabi Grand Prix          | 2010-11-14 00:00:00.000 | 13:00:00 | http://en.wikipedia.org/wiki/2010_Abu_Dhabi_Grand_Prix          | 14 de novembro | yas_marina     | Yas Marina Circuit             | Abu Dhabi      | UAE          |  244672 |  546031 |       | http://en.wikipedia.org/wiki/Yas_Marina_Circuit                     |
|      654 |   1970 |      12 |          46 | United States Grand Prix      | 1970-10-04 00:00:00.000 |          | http://en.wikipedia.org/wiki/1970_United_States_Grand_Prix      | 4 de outubro   | watkins_glen   | Watkins Glen                   | New York State | USA          |  423369 | -769272 |       | http://en.wikipedia.org/wiki/Watkins_Glen_International             |
|      545 |   1977 |       3 |          30 | South African Grand Prix      | 1977-03-05 00:00:00.000 |          | http://en.wikipedia.org/wiki/1977_South_African_Grand_Prix      | 5 de março     | kyalami        | Kyalami                        | Midrand        | South Africa | -259894 |  280767 |       | http://en.wikipedia.org/wiki/Kyalami                                |
|      786 |   1956 |       3 |          19 | Indianapolis 500              | 1956-05-30 00:00:00.000 |          | http://en.wikipedia.org/wiki/1956_Indianapolis_500              | 30 de maio     | indianapolis   | Indianapolis Motor Speedway    | Indianapolis   | USA          |   39795 | -862347 |       | http://en.wikipedia.org/wiki/Indianapolis_Motor_Speedway            |
|      879 |   2012 |      20 |          18 | Brazilian Grand Prix          | 2012-11-25 00:00:00.000 | 16:00:00 | http://en.wikipedia.org/wiki/2012_Brazilian_Grand_Prix          | 25 de novembro | interlagos     | Autódromo Jos̩ Carlos Pace      | São Paulo      | Brazil       | -237036 | -466997 |       | http://en.wikipedia.org/wiki/Aut%C3%B3dromo_Jos%C3%A9_Carlos_Pace   |
|      744 |   1961 |       7 |          14 | Italian Grand Prix            | 1961-09-10 00:00:00.000 |          | http://en.wikipedia.org/wiki/1961_Italian_Grand_Prix            | 10 de setembro | monza          | Autodromo Nazionale di Monza   | Monza          | Italy        |  456156 |  928111 |       | http://en.wikipedia.org/wiki/Autodromo_Nazionale_Monza              |
|       38 |   2007 |       3 |           3 | Bahrain Grand Prix            | 2007-04-15 00:00:00.000 | 11:30:00 | http://en.wikipedia.org/wiki/2007_Bahrain_Grand_Prix            | 15 de abril    | bahrain        | Bahrain International Circuit  | Sakhir         | Bahrain      |  260325 |  505106 |       | http://en.wikipedia.org/wiki/Bahrain_International_Circuit          |
|      712 |   1964 |       4 |          53 | French Grand Prix             | 1964-06-28 00:00:00.000 |          | http://en.wikipedia.org/wiki/1964_French_Grand_Prix             | 28 de junho    | essarts        | Rouen-Les-Essarts              | Rouen          | France       |  493306 |  100458 |       | http://en.wikipedia.org/wiki/Rouen-Les-Essarts                      |
|       72 |   2005 |       2 |           2 | Malaysian Grand Prix          | 2005-03-20 00:00:00.000 | 15:00:00 | http://en.wikipedia.org/wiki/2005_Malaysian_Grand_Prix          | 20 de março    | sepang         | Sepang International Circuit   | Kuala Lumpur   | Malaysia     |  276083 |  101738 |       | http://en.wikipedia.org/wiki/Sepang_International_Circuit           |
|      160 |   2000 |       3 |          21 | San Marino Grand Prix         | 2000-04-09 00:00:00.000 |          | http://en.wikipedia.org/wiki/2000_San_Marino_Grand_Prix         | 9 de abril     | imola          | Autodromo Enzo e Dino Ferrari  | Imola          | Italy        |  443439 |  117167 |       | http://en.wikipedia.org/wiki/Autodromo_Enzo_e_Dino_Ferrari          |
|      956 |   2016 |       9 |          70 | Austrian Grand Prix           | 2016-07-03 00:00:00.000 | 12:00:00 | https://en.wikipedia.org/wiki/2016_Austrian_Grand_Prix          | 3 de julho     | red_bull_ring  | Red Bull Ring                  | Spielburg      | Austria      |  472197 |  147647 |       | http://en.wikipedia.org/wiki/Red_Bull_Ring                          |
|      577 |   1975 |       2 |          18 | Brazilian Grand Prix          | 1975-01-26 00:00:00.000 |          | http://en.wikipedia.org/wiki/1975_Brazilian_Grand_Prix          | 26 de janeiro  | interlagos     | Autódromo Jos̩ Carlos Pace      | São Paulo      | Brazil       | -237036 | -466997 |       | http://en.wikipedia.org/wiki/Aut%C3%B3dromo_Jos%C3%A9_Carlos_Pace   |
|      491 |   1981 |       9 |           9 | British Grand Prix            | 1981-07-18 00:00:00.000 |          | http://en.wikipedia.org/wiki/1981_British_Grand_Prix            | 18 de julho    | silverstone    | Silverstone Circuit            | Silverstone    | UK           |  520786 | -101694 |       | http://en.wikipedia.org/wiki/Silverstone_Circuit                    |
|      298 |   1992 |      10 |          10 | German Grand Prix             | 1992-07-26 00:00:00.000 |          | http://en.wikipedia.org/wiki/1992_German_Grand_Prix             | 26 de julho    | hockenheimring | Hockenheimring                 | Hockenheim     | Germany      |  493278 |  856583 |       | http://en.wikipedia.org/wiki/Hockenheimring                         |
|      679 |   1967 |       1 |          30 | South African Grand Prix      | 1967-01-02 00:00:00.000 |          | http://en.wikipedia.org/wiki/1967_South_African_Grand_Prix      | 2 de janeiro   | kyalami        | Kyalami                        | Midrand        | South Africa | -259894 |  280767 |       | http://en.wikipedia.org/wiki/Kyalami                                |
|      486 |   1981 |       4 |          21 | San Marino Grand Prix         | 1981-05-03 00:00:00.000 |          | http://en.wikipedia.org/wiki/1981_San_Marino_Grand_Prix         | 3 de maio      | imola          | Autodromo Enzo e Dino Ferrari  | Imola          | Italy        |  443439 |  117167 |       | http://en.wikipedia.org/wiki/Autodromo_Enzo_e_Dino_Ferrari          |
|       80 |   2005 |      10 |           8 | French Grand Prix             | 2005-07-03 00:00:00.000 | 14:00:00 | http://en.wikipedia.org/wiki/2005_French_Grand_Prix             | 3 de julho     | magny_cours    | Circuit de Nevers Magny-Cours  | Magny Cours    | France       |  468642 |  316361 |       | http://en.wikipedia.org/wiki/Circuit_de_Nevers_Magny-Cours          |
|       59 |   2006 |       7 |           6 | Monaco Grand Prix             | 2006-05-28 00:00:00.000 | 14:00:00 | http://en.wikipedia.org/wiki/2006_Monaco_Grand_Prix             | 28 de maio     | monaco         | Circuit de Monaco              | Monte-Carlo    | Monaco       |  437347 |  742056 |       | http://en.wikipedia.org/wiki/Circuit_de_Monaco                      |
|       83 |   2005 |      13 |          11 | Hungarian Grand Prix          | 2005-07-31 00:00:00.000 | 14:00:00 | http://en.wikipedia.org/wiki/2005_Hungarian_Grand_Prix          | 31 de julho    | hungaroring    | Hungaroring                    | Budapest       | Hungary      |  475789 |  192486 |       | http://en.wikipedia.org/wiki/Hungaroring                            |
|      149 |   2001 |       9 |          20 | European Grand Prix           | 2001-06-24 00:00:00.000 |          | http://en.wikipedia.org/wiki/2001_European_Grand_Prix           | 24 de junho    | nurburgring    | Nürburgring                    | Nürburg        | Germany      |  503356 |   69475 |       | http://en.wikipedia.org/wiki/N%C3%BCrburgring                       |
|      258 |   1994 |       2 |          28 | Pacific Grand Prix            | 1994-04-17 00:00:00.000 |          | http://en.wikipedia.org/wiki/1994_Pacific_Grand_Prix            | 17 de abril    | okayama        | Okayama International Circuit  | Okayama        | Japan        |   34915 |  134221 |       | http://en.wikipedia.org/wiki/TI_Circuit                             |
|      358 |   1989 |       3 |           6 | Monaco Grand Prix             | 1989-05-07 00:00:00.000 |          | http://en.wikipedia.org/wiki/1989_Monaco_Grand_Prix             | 7 de maio      | monaco         | Circuit de Monaco              | Monte-Carlo    | Monaco       |  437347 |  742056 |       | http://en.wikipedia.org/wiki/Circuit_de_Monaco                      |
|      911 |   2014 |      12 |          13 | Belgian Grand Prix            | 2014-08-24 00:00:00.000 | 12:00:00 | http://en.wikipedia.org/wiki/2014_Belgian_Grand_Prix            | 24 de agosto   | spa            | Circuit de Spa-Francorchamps   | Spa            | Belgium      |  504372 |  597139 |       | http://en.wikipedia.org/wiki/Circuit_de_Spa-Francorchamps           |
|      453 |   1983 |       2 |          43 | United States Grand Prix West | 1983-03-27 00:00:00.000 |          | http://en.wikipedia.org/wiki/1983_United_States_Grand_Prix_West | 27 de março    | long_beach     | Long Beach                     | California     | USA          |  337651 | -118189 |       | http://en.wikipedia.org/wiki/Long_Beach,_California                 |
|      704 |   1965 |       6 |          39 | Dutch Grand Prix              | 1965-07-18 00:00:00.000 |          | http://en.wikipedia.org/wiki/1965_Dutch_Grand_Prix              | 18 de julho    | zandvoort      | Circuit Park Zandvoort         | Zandvoort      | Netherlands  |  523888 |  454092 |       | http://en.wikipedia.org/wiki/Circuit_Zandvoort                      |
|      427 |   1985 |       8 |           9 | British Grand Prix            | 1985-07-21 00:00:00.000 |          | http://en.wikipedia.org/wiki/1985_British_Grand_Prix            | 21 de julho    | silverstone    | Silverstone Circuit            | Silverstone    | UK           |  520786 | -101694 |       | http://en.wikipedia.org/wiki/Silverstone_Circuit                    |
|      734 |   1962 |       6 |          20 | German Grand Prix             | 1962-08-05 00:00:00.000 |          | http://en.wikipedia.org/wiki/1962_German_Grand_Prix             | 5 de agosto    | nurburgring    | Nürburgring                    | Nürburg        | Germany      |  503356 |   69475 |       | http://en.wikipedia.org/wiki/N%C3%BCrburgring                       |
|      651 |   1970 |       9 |          23 | Austrian Grand Prix           | 1970-08-16 00:00:00.000 |          | http://en.wikipedia.org/wiki/1970_Austrian_Grand_Prix           | 16 de agosto   | osterreichring | A1-Ring                        | Spielburg      | Austria      |  472197 |  147647 |       | http://en.wikipedia.org/wiki/A1-Ring                                |
|      731 |   1962 |       3 |          13 | Belgian Grand Prix            | 1962-06-17 00:00:00.000 |          | http://en.wikipedia.org/wiki/1962_Belgian_Grand_Prix            | 17 de junho    | spa            | Circuit de Spa-Francorchamps   | Spa            | Belgium      |  504372 |  597139 |       | http://en.wikipedia.org/wiki/Circuit_de_Spa-Francorchamps           |
|      802 |   1954 |       4 |          55 | French Grand Prix             | 1954-07-04 00:00:00.000 |          | http://en.wikipedia.org/wiki/1954_French_Grand_Prix             | 4 de julho     | reims          | Reims-Gueux                    | Reims          | France       |  492542 |  393083 |       | http://en.wikipedia.org/wiki/Reims-Gueux                            |
|      248 |   1995 |       9 |          10 | German Grand Prix             | 1995-07-30 00:00:00.000 |          | http://en.wikipedia.org/wiki/1995_German_Grand_Prix             | 30 de julho    | hockenheimring | Hockenheimring                 | Hockenheim     | Germany      |  493278 |  856583 |       | http://en.wikipedia.org/wiki/Hockenheimring                         |
|      288 |   1993 |      16 |          29 | Australian Grand Prix         | 1993-11-07 00:00:00.000 |          | http://en.wikipedia.org/wiki/1993_Australian_Grand_Prix         | 7 de novembro  | adelaide       | Adelaide Street Circuit        | Adelaide       | Australia    | -349272 |  138617 |       | http://en.wikipedia.org/wiki/Adelaide_Street_Circuit                |
|      771 |   1958 |       7 |           9 | British Grand Prix            | 1958-07-19 00:00:00.000 |          | http://en.wikipedia.org/wiki/1958_British_Grand_Prix            | 19 de julho    | silverstone    | Silverstone Circuit            | Silverstone    | UK           |  520786 | -101694 |       | http://en.wikipedia.org/wiki/Silverstone_Circuit                    |
|      706 |   1965 |       8 |          14 | Italian Grand Prix            | 1965-09-12 00:00:00.000 |          | http://en.wikipedia.org/wiki/1965_Italian_Grand_Prix            | 12 de setembro | monza          | Autodromo Nazionale di Monza   | Monza          | Italy        |  456156 |  928111 |       | http://en.wikipedia.org/wiki/Autodromo_Nazionale_Monza              |
|      868 |   2012 |       9 |           9 | British Grand Prix            | 2012-07-08 00:00:00.000 | 12:00:00 | http://en.wikipedia.org/wiki/2012_British_Grand_Prix            | 8 de julho     | silverstone    | Silverstone Circuit            | Silverstone    | UK           |  520786 | -101694 |       | http://en.wikipedia.org/wiki/Silverstone_Circuit                    |
|      489 |   1981 |       7 |          45 | Spanish Grand Prix            | 1981-06-21 00:00:00.000 |          | http://en.wikipedia.org/wiki/1981_Spanish_Grand_Prix            | 21 de junho    | jarama         | Jarama                         | Madrid         | Spain        |  406171 | -358558 |       | http://en.wikipedia.org/wiki/Circuito_Permanente_Del_Jarama         |
|      881 |   2013 |       2 |           2 | Malaysian Grand Prix          | 2013-03-24 00:00:00.000 | 08:00:00 | http://en.wikipedia.org/wiki/2013_Malaysian_Grand_Prix          | 24 de março    | sepang         | Sepang International Circuit   | Kuala Lumpur   | Malaysia     |  276083 |  101738 |       | http://en.wikipedia.org/wiki/Sepang_International_Circuit           |
|      534 |   1978 |       8 |          47 | Swedish Grand Prix            | 1978-06-17 00:00:00.000 |          | http://en.wikipedia.org/wiki/1978_Swedish_Grand_Prix            | 17 de junho    | anderstorp     | Scandinavian Raceway           | Anderstorp     | Sweden       |  572653 |  136042 |       | http://en.wikipedia.org/wiki/Scandinavian_Raceway                   |
|      289 |   1992 |       1 |          30 | South African Grand Prix      | 1992-03-01 00:00:00.000 |          | http://en.wikipedia.org/wiki/1992_South_African_Grand_Prix      | 1 de março     | kyalami        | Kyalami                        | Midrand        | South Africa | -259894 |  280767 |       | http://en.wikipedia.org/wiki/Kyalami                                |
|      685 |   1967 |       7 |          20 | German Grand Prix             | 1967-08-06 00:00:00.000 |          | http://en.wikipedia.org/wiki/1967_German_Grand_Prix             | 6 de agosto    | nurburgring    | Nürburgring                    | Nürburg        | Germany      |  503356 |   69475 |       | http://en.wikipedia.org/wiki/N%C3%BCrburgring                       |
|      375 |   1988 |       4 |          32 | Mexican Grand Prix            | 1988-05-29 00:00:00.000 |          | http://en.wikipedia.org/wiki/1988_Mexican_Grand_Prix            | 29 de maio     | rodriguez      | Autódromo Hermanos Rodríguez   | Mexico City    | Mexico       |  194042 | -990907 |       | http://en.wikipedia.org/wiki/Aut%C3%B3dromo_Hermanos_Rodr%C3%ADguez |
|        9 |   2009 |       9 |          20 | German Grand Prix             | 2009-07-12 00:00:00.000 | 12:00:00 | http://en.wikipedia.org/wiki/2009_German_Grand_Prix             | 12 de julho    | nurburgring    | Nürburgring                    | Nürburg        | Germany      |  503356 |   69475 |       | http://en.wikipedia.org/wiki/N%C3%BCrburgring                       |
|      166 |   2000 |       9 |           8 | French Grand Prix             | 2000-07-02 00:00:00.000 |          | http://en.wikipedia.org/wiki/2000_French_Grand_Prix             | 2 de julho     | magny_cours    | Circuit de Nevers Magny-Cours  | Magny Cours    | France       |  468642 |  316361 |       | http://en.wikipedia.org/wiki/Circuit_de_Nevers_Magny-Cours          |
|       51 |   2007 |      16 |          17 | Chinese Grand Prix            | 2007-10-07 00:00:00.000 | 06:00:00 | http://en.wikipedia.org/wiki/2007_Chinese_Grand_Prix            | 7 de outubro   | shanghai       | Shanghai International Circuit | Shanghai       | China        |  313389 |   12122 |       | http://en.wikipedia.org/wiki/Shanghai_International_Circuit         |



label: circuitId
circuitRef
circuitId
name
circuitId
location
circuitId
country
circuitId
lat
circuitId
lng
circuitId
alt
circuitId
url
output: {"Functional-Dependency": [["circuitId", "circuitRef"], ["circuitId", "name"], ["circuitId", "location"], ["circuitId", "country"], ["circuitId", "lat"], ["circuitId", "lng"], ["circuitId", "alt"], ["circuitId", "url"]]}
labeled_fds: circuitId
circuitRef
circuitId
name
circuitId
location
circuitId
country
circuitId
lat
circuitId
lng
circuitId
alt
circuitId
url
data_string
time
circuitRef
name_many
location
circuitRef
location
lat
location
lng
lat
circuitRef
lng
circuitRef
lng
name
lng
url
alt
raceId
alt
round
alt
time
alt
url_many
source: $MMTU_HOME/resources/Relationship-finding/FD/179260383