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:
|   Transacao | Data de compra          |   ID Consumidor |   ID Produto |   Quantidade |   Valor Produto |   Faturamento | Nome produto      | Categoria   | Marca   |   Valor | Url img                                                                                                   |
|------------:|:------------------------|----------------:|-------------:|-------------:|----------------:|--------------:|:------------------|:------------|:--------|--------:|:----------------------------------------------------------------------------------------------------------|
|       13529 | 2020-11-22 00:00:00.000 |            5590 |           17 |            3 |            60   |           180 | Roupa de inverno  | Roupa       | Doguito |    60   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20inverno%20Doguito.png         |
|       13668 | 2020-11-28 00:00:00.000 |            7934 |            2 |            5 |            24   |           120 | Ração adulto 1kg  | Alimento    | Gatito  |    24   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20adulto%20Gatito.png      |
|        2226 | 2019-06-25 00:00:00.000 |            2553 |           20 |            6 |            80   |           480 | Guia              | Acessório   | Doguito |    80   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Guia%20Doguito.png                         |
|        7513 | 2020-04-16 00:00:00.000 |            4960 |           17 |            5 |            60   |           300 | Roupa de inverno  | Roupa       | Doguito |    60   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20inverno%20Doguito.png         |
|        1765 | 2019-05-19 00:00:00.000 |            6024 |            2 |            4 |            24   |            96 | Ração adulto 1kg  | Alimento    | Gatito  |    24   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20adulto%20Gatito.png      |
|        4103 | 2019-11-24 00:00:00.000 |             663 |           18 |            3 |            45   |           135 | Roupa de verão    | Roupa       | Doguito |    45   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20ver%C3%A3o%20Doguito.png      |
|        5651 | 2020-02-05 00:00:00.000 |            1836 |            6 |            3 |            20   |            60 | Varinha           | Brinquedo   | Gatito  |    20   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Varinha%20Gatito.png                       |
|          11 | 2018-12-26 00:00:00.000 |            9357 |           20 |            3 |            80   |           240 | Guia              | Acessório   | Doguito |    80   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Guia%20Doguito.png                         |
|       13329 | 2020-11-14 00:00:00.000 |            7085 |            6 |            5 |            20   |           100 | Varinha           | Brinquedo   | Gatito  |    20   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Varinha%20Gatito.png                       |
|        9207 | 2020-06-16 00:00:00.000 |            9516 |            6 |            4 |            20   |            80 | Varinha           | Brinquedo   | Gatito  |    20   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Varinha%20Gatito.png                       |
|        6978 | 2020-03-27 00:00:00.000 |            8139 |           11 |            4 |            42   |           168 | Ração filhote 1kg | Alimento    | Doguito |    42   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20filhote%20Doguito.png    |
|       10848 | 2020-08-16 00:00:00.000 |            5181 |           16 |            2 |            25   |            50 | Osso              | Brinquedo   | Doguito |    25   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Osso%20Doguito.png                         |
|        4867 | 2020-01-06 00:00:00.000 |            2862 |            6 |            3 |            20   |            60 | Varinha           | Brinquedo   | Gatito  |    20   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Varinha%20Gatito.png                       |
|       12926 | 2020-10-31 00:00:00.000 |            6083 |           12 |            3 |            46   |           138 | Ração adulto 1kg  | Alimento    | Doguito |    46   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20adulto%20Doguito.png     |
|       11606 | 2020-09-14 00:00:00.000 |            5374 |            3 |            5 |            27   |           135 | Ração sênior 1kg  | Alimento    | Gatito  |    27   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20s%C3%AAnior%20Gatito.png |
|       13722 | 2020-11-30 00:00:00.000 |            9491 |            7 |            2 |            60   |           120 | Roupa de inverno  | Roupa       | Gatito  |    60   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20inverno%20Gatito.png          |
|        6112 | 2020-02-22 00:00:00.000 |            7663 |           10 |            5 |            70   |           350 | Guia              | Acessório   | Gatito  |    70   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Guia%20Gatito.png                          |
|        4111 | 2019-11-25 00:00:00.000 |            4115 |           13 |            3 |            50   |           150 | Ração sênior 1kg  | Alimento    | Doguito |    50   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20senior%20Doguito.png     |
|        5917 | 2020-02-15 00:00:00.000 |            5950 |           18 |            3 |            45   |           135 | Roupa de verão    | Roupa       | Doguito |    45   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20ver%C3%A3o%20Doguito.png      |
|        9398 | 2020-06-23 00:00:00.000 |            9268 |            1 |            5 |            21   |           105 | Ração filhote 1kg | Alimento    | Gatito  |    21   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20filhote%20Gatito.png     |
|        9695 | 2020-07-04 00:00:00.000 |             898 |            2 |            6 |            24   |           144 | Ração adulto 1kg  | Alimento    | Gatito  |    24   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20adulto%20Gatito.png      |
|        9335 | 2020-06-21 00:00:00.000 |            7729 |           14 |            4 |             2.5 |            10 | Petisco           | Alimento    | Doguito |     2.5 | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Petisco%20Doguito.png                      |
|        4019 | 2019-11-18 00:00:00.000 |            9111 |            3 |            5 |            27   |           135 | Ração sênior 1kg  | Alimento    | Gatito  |    27   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20s%C3%AAnior%20Gatito.png |
|        4799 | 2020-01-04 00:00:00.000 |             191 |            8 |            3 |            45   |           135 | Roupa de verão    | Roupa       | Gatito  |    45   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20ver%C3%A3o%20Gatito.png       |
|       12068 | 2020-09-29 00:00:00.000 |            2575 |            7 |            4 |            60   |           240 | Roupa de inverno  | Roupa       | Gatito  |    60   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20inverno%20Gatito.png          |
|        6988 | 2020-03-27 00:00:00.000 |            6387 |           16 |            6 |            25   |           150 | Osso              | Brinquedo   | Doguito |    25   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Osso%20Doguito.png                         |
|        4388 | 2019-12-13 00:00:00.000 |            1549 |            5 |            3 |             7   |            21 | Ratinho           | Brinquedo   | Gatito  |     7   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Rato%20Gatito.png                          |
|        6110 | 2020-02-22 00:00:00.000 |            1495 |            9 |            4 |            30   |           120 | Coleira           | Acessório   | Gatito  |    30   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Coleira%20Gatito.png                       |
|       10058 | 2020-07-17 00:00:00.000 |            1567 |            1 |            3 |            21   |            63 | Ração filhote 1kg | Alimento    | Gatito  |    21   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20filhote%20Gatito.png     |
|        3032 | 2019-08-31 00:00:00.000 |            8189 |            5 |            4 |             7   |            28 | Ratinho           | Brinquedo   | Gatito  |     7   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Rato%20Gatito.png                          |
|        8423 | 2020-05-19 00:00:00.000 |            3056 |            8 |            4 |            45   |           180 | Roupa de verão    | Roupa       | Gatito  |    45   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20ver%C3%A3o%20Gatito.png       |
|       11843 | 2020-09-22 00:00:00.000 |            8137 |            9 |            3 |            30   |            90 | Coleira           | Acessório   | Gatito  |    30   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Coleira%20Gatito.png                       |
|        1019 | 2019-03-26 00:00:00.000 |            9487 |           16 |            3 |            25   |            75 | Osso              | Brinquedo   | Doguito |    25   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Osso%20Doguito.png                         |
|        9014 | 2020-06-09 00:00:00.000 |            2082 |           17 |            3 |            60   |           180 | Roupa de inverno  | Roupa       | Doguito |    60   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20inverno%20Doguito.png         |
|        7392 | 2020-04-11 00:00:00.000 |            7307 |            7 |            5 |            60   |           300 | Roupa de inverno  | Roupa       | Gatito  |    60   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20inverno%20Gatito.png          |
|        3627 | 2019-10-19 00:00:00.000 |            8242 |           16 |            4 |            25   |           100 | Osso              | Brinquedo   | Doguito |    25   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Osso%20Doguito.png                         |
|        5918 | 2020-02-15 00:00:00.000 |            8770 |           13 |            3 |            50   |           150 | Ração sênior 1kg  | Alimento    | Doguito |    50   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20senior%20Doguito.png     |
|       11131 | 2020-08-27 00:00:00.000 |            1282 |            2 |            4 |            24   |            96 | Ração adulto 1kg  | Alimento    | Gatito  |    24   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Ra%C3%A7%C3%A3o%20adulto%20Gatito.png      |
|       10933 | 2020-08-19 00:00:00.000 |            3753 |            9 |            5 |            30   |           150 | Coleira           | Acessório   | Gatito  |    30   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Coleira%20Gatito.png                       |
|       10644 | 2020-08-08 00:00:00.000 |            7917 |           16 |            6 |            25   |           150 | Osso              | Brinquedo   | Doguito |    25   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Osso%20Doguito.png                         |
|        3768 | 2019-10-30 00:00:00.000 |            7457 |            9 |            5 |            30   |           150 | Coleira           | Acessório   | Gatito  |    30   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Coleira%20Gatito.png                       |
|       10584 | 2020-08-06 00:00:00.000 |            8345 |            4 |            3 |             6   |            18 | Petisco           | Alimento    | Gatito  |     6   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Petisco%20Gatito.png                       |
|       12615 | 2020-10-20 00:00:00.000 |            6468 |            7 |            3 |            60   |           180 | Roupa de inverno  | Roupa       | Gatito  |    60   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20inverno%20Gatito.png          |
|        5380 | 2020-01-27 00:00:00.000 |            1904 |            9 |            2 |            30   |            60 | Coleira           | Acessório   | Gatito  |    30   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Coleira%20Gatito.png                       |
|        3833 | 2019-11-04 00:00:00.000 |             968 |            4 |            2 |             6   |            12 | Petisco           | Alimento    | Gatito  |     6   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Petisco%20Gatito.png                       |
|       12589 | 2020-10-19 00:00:00.000 |             958 |           15 |            4 |             7   |            28 | Bolinha           | Brinquedo   | Doguito |     7   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Bola%20Doguito.png                         |
|        3852 | 2019-11-06 00:00:00.000 |             770 |            6 |            4 |            20   |            80 | Varinha           | Brinquedo   | Gatito  |    20   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Varinha%20Gatito.png                       |
|        3884 | 2019-11-08 00:00:00.000 |            7441 |            7 |            5 |            60   |           300 | Roupa de inverno  | Roupa       | Gatito  |    60   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Roupa%20de%20inverno%20Gatito.png          |
|       13632 | 2020-11-26 00:00:00.000 |            6934 |           19 |            2 |            40   |            80 | Coleira           | Acessório   | Doguito |    40   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Coleira%20Doguito.png                      |
|        6891 | 2020-03-23 00:00:00.000 |            4094 |            4 |            6 |             6   |            36 | Petisco           | Alimento    | Gatito  |     6   | https://caelum-online-public.s3.amazonaws.com/2252-power-bi/01/Petisco%20Gatito.png                       |



label: ID Produto
Nome produto
ID Produto
Categoria
ID Produto
Marca
ID Produto
Valor
ID Produto
Url img
output: {"Functional-Dependency": [["ID Produto", "Nome produto"], ["ID Produto", "Categoria"], ["ID Produto", "Marca"], ["ID Produto", "Valor"], ["ID Produto", "Url img"]]}
labeled_fds: ID Produto
Nome produto
ID Produto
Categoria
ID Produto
Marca
ID Produto
Valor
ID Produto
Url img
ID Consumidor
Transacao
ID Consumidor
ID Produto
ID Consumidor
Nome produto
source: $MMTU_HOME/resources/Relationship-finding/FD/168265048