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:
| Regiao       | Estado   | Data                    |   casosNovos |   casosAcumulados |   obitosNovos |   obitosAcumulados | Date                    |   Ano | Mês      |   Mês Nº |   Dia |
|:-------------|:---------|:------------------------|-------------:|------------------:|--------------:|-------------------:|:------------------------|------:|:---------|---------:|------:|
| Norte        | RO       | 2020-03-12 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-03-12 00:00:00.000 |  2020 | March    |        3 |    12 |
| Centro-Oeste | MT       | 2020-04-30 00:00:00.000 |            5 |               297 |             0 |                 11 | 2020-04-30 00:00:00.000 |  2020 | April    |        4 |    30 |
| Centro-Oeste | MS       | 2020-04-30 00:00:00.000 |            6 |               255 |             0 |                  9 | 2020-04-30 00:00:00.000 |  2020 | April    |        4 |    30 |
| Centro-Oeste | MT       | 2020-03-20 00:00:00.000 |            1 |                 1 |             0 |                  0 | 2020-03-20 00:00:00.000 |  2020 | March    |        3 |    20 |
| Norte        | TO       | 2020-02-03 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-03 00:00:00.000 |  2020 | February |        2 |     3 |
| Norte        | AP       | 2020-03-17 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-03-17 00:00:00.000 |  2020 | March    |        3 |    17 |
| Norte        | PA       | 2020-02-03 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-03 00:00:00.000 |  2020 | February |        2 |     3 |
| Centro-Oeste | GO       | 2020-03-03 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-03-03 00:00:00.000 |  2020 | March    |        3 |     3 |
| Centro-Oeste | MS       | 2020-02-02 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-02 00:00:00.000 |  2020 | February |        2 |     2 |
| Nordeste     | PB       | 2020-04-05 00:00:00.000 |            2 |                34 |             2 |                  4 | 2020-04-05 00:00:00.000 |  2020 | April    |        4 |     5 |
| Nordeste     | PE       | 2020-03-28 00:00:00.000 |           12 |                68 |             1 |                  5 | 2020-03-28 00:00:00.000 |  2020 | March    |        3 |    28 |
| Nordeste     | BA       | 2020-04-13 00:00:00.000 |           50 |               723 |             1 |                 22 | 2020-04-13 00:00:00.000 |  2020 | April    |        4 |    13 |
| Norte        | PA       | 2020-04-23 00:00:00.000 |           72 |              1267 |            10 |                 53 | 2020-04-23 00:00:00.000 |  2020 | April    |        4 |    23 |
| Sul          | RS       | 2020-04-21 00:00:00.000 |           15 |               904 |             0 |                 27 | 2020-04-21 00:00:00.000 |  2020 | April    |        4 |    21 |
| Centro-Oeste | DF       | 2020-03-24 00:00:00.000 |           27 |               160 |             0 |                  0 | 2020-03-24 00:00:00.000 |  2020 | March    |        3 |    24 |
| Sudeste      | SP       | 2020-03-05 00:00:00.000 |            3 |                 6 |             0 |                  0 | 2020-03-05 00:00:00.000 |  2020 | March    |        3 |     5 |
| Nordeste     | PB       | 2020-02-02 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-02 00:00:00.000 |  2020 | February |        2 |     2 |
| Nordeste     | AL       | 2020-03-06 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-03-06 00:00:00.000 |  2020 | March    |        3 |     6 |
| Sudeste      | SP       | 2020-02-03 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-03 00:00:00.000 |  2020 | February |        2 |     3 |
| Nordeste     | SE       | 2020-01-31 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-01-31 00:00:00.000 |  2020 | January  |        1 |    31 |
| Centro-Oeste | MT       | 2020-02-10 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-10 00:00:00.000 |  2020 | February |        2 |    10 |
| Sul          | PR       | 2020-04-12 00:00:00.000 |           62 |               738 |             4 |                 30 | 2020-04-12 00:00:00.000 |  2020 | April    |        4 |    12 |
| Nordeste     | PI       | 2020-04-21 00:00:00.000 |           28 |               186 |             2 |                 14 | 2020-04-21 00:00:00.000 |  2020 | April    |        4 |    21 |
| Norte        | RO       | 2020-03-09 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-03-09 00:00:00.000 |  2020 | March    |        3 |     9 |
| Nordeste     | AL       | 2020-03-24 00:00:00.000 |            2 |                 9 |             0 |                  0 | 2020-03-24 00:00:00.000 |  2020 | March    |        3 |    24 |
| Norte        | AP       | 2020-04-12 00:00:00.000 |           37 |               230 |             2 |                  5 | 2020-04-12 00:00:00.000 |  2020 | April    |        4 |    12 |
| Norte        | RR       | 2020-04-28 00:00:00.000 |           18 |               425 |             2 |                  6 | 2020-04-28 00:00:00.000 |  2020 | April    |        4 |    28 |
| Nordeste     | PI       | 2020-03-12 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-03-12 00:00:00.000 |  2020 | March    |        3 |    12 |
| Sudeste      | MG       | 2020-04-12 00:00:00.000 |           56 |               806 |             3 |                 20 | 2020-04-12 00:00:00.000 |  2020 | April    |        4 |    12 |
| Sudeste      | ES       | 2020-02-05 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-05 00:00:00.000 |  2020 | February |        2 |     5 |
| Sudeste      | MG       | 2020-03-28 00:00:00.000 |           16 |               205 |             0 |                  0 | 2020-03-28 00:00:00.000 |  2020 | March    |        3 |    28 |
| Sudeste      | MG       | 2020-04-17 00:00:00.000 |           63 |              1021 |             2 |                 35 | 2020-04-17 00:00:00.000 |  2020 | April    |        4 |    17 |
| Nordeste     | AL       | 2020-04-01 00:00:00.000 |            0 |                18 |             0 |                  1 | 2020-04-01 00:00:00.000 |  2020 | April    |        4 |     1 |
| Nordeste     | PE       | 2020-04-13 00:00:00.000 |          194 |              1154 |            17 |                102 | 2020-04-13 00:00:00.000 |  2020 | April    |        4 |    13 |
| Nordeste     | AL       | 2020-03-31 00:00:00.000 |            1 |                18 |             1 |                  1 | 2020-03-31 00:00:00.000 |  2020 | March    |        3 |    31 |
| Norte        | RR       | 2020-04-10 00:00:00.000 |           11 |                63 |             2 |                  3 | 2020-04-10 00:00:00.000 |  2020 | April    |        4 |    10 |
| Sul          | RS       | 2020-02-20 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-20 00:00:00.000 |  2020 | February |        2 |    20 |
| Sudeste      | RJ       | 2020-02-27 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-27 00:00:00.000 |  2020 | February |        2 |    27 |
| Norte        | RO       | 2020-02-12 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-12 00:00:00.000 |  2020 | February |        2 |    12 |
| Sudeste      | MG       | 2020-03-15 00:00:00.000 |            0 |                 2 |             0 |                  0 | 2020-03-15 00:00:00.000 |  2020 | March    |        3 |    15 |
| Norte        | AC       | 2020-03-24 00:00:00.000 |            6 |                17 |             0 |                  0 | 2020-03-24 00:00:00.000 |  2020 | March    |        3 |    24 |
| Nordeste     | PI       | 2020-02-04 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-04 00:00:00.000 |  2020 | February |        2 |     4 |
| Sudeste      | RJ       | 2020-04-26 00:00:00.000 |          283 |              7111 |            30 |                645 | 2020-04-26 00:00:00.000 |  2020 | April    |        4 |    26 |
| Nordeste     | PI       | 2020-04-24 00:00:00.000 |           39 |               256 |             1 |                 16 | 2020-04-24 00:00:00.000 |  2020 | April    |        4 |    24 |
| Centro-Oeste | GO       | 2020-01-30 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-01-30 00:00:00.000 |  2020 | January  |        1 |    30 |
| Nordeste     | PB       | 2020-02-04 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-02-04 00:00:00.000 |  2020 | February |        2 |     4 |
| Sul          | RS       | 2020-03-12 00:00:00.000 |            2 |                 4 |             0 |                  0 | 2020-03-12 00:00:00.000 |  2020 | March    |        3 |    12 |
| Nordeste     | PB       | 2020-03-12 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-03-12 00:00:00.000 |  2020 | March    |        3 |    12 |
| Sul          | RS       | 2020-03-19 00:00:00.000 |            9 |                28 |             0 |                  0 | 2020-03-19 00:00:00.000 |  2020 | March    |        3 |    19 |
| Sul          | SC       | 2020-03-05 00:00:00.000 |            0 |                 0 |             0 |                  0 | 2020-03-05 00:00:00.000 |  2020 | March    |        3 |     5 |



label: Data
Date
Data
Ano
Data
Mês
Data
Mês Nº
Data
Dia
output: {"Functional-Dependency": [["Data", "Date"], ["Data", "Ano"], ["Data", "M\u00eas"], ["Data", "M\u00eas N\u00ba"], ["Data", "Dia"]]}
labeled_fds: Data
Date
Data
Ano
Data
Mês
Data
Mês Nº
Data
Dia
casosAcumulados
obitosNovos
source: $MMTU_HOME/resources/Relationship-finding/FD/120621810