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:
|   CupomID |   ProdutoID |   Quantidade |    Valor |   Desconto |      Custo |   ValorLiquido |   valorTotal | Data                    |   ClienteID |   FuncionarioID |   ValorFrete | EmpresaFrete    | DataEntrega             |
|----------:|------------:|-------------:|---------:|-----------:|-----------:|---------------:|-------------:|:------------------------|------------:|----------------:|-------------:|:----------------|:------------------------|
|     11012 |          19 |           50 |   473.03 |     22.525 |   432.382  |        40.6429 |    2009.62   | 2017-07-15 00:00:00.000 |          25 |               7 |        41.48 | One Liners      | 2017-07-26 00:00:00.000 |
|     11041 |          63 |           30 |   610.5  |      0     |   538.461  |        72.039  |    2161.17   | 2017-07-28 00:00:00.000 |          80 |              11 |        64.44 | Freight Express | 2017-08-06 00:00:00.000 |
|     10406 |          40 |            2 |    41.65 |      3.786 |    31.3481 |        10.2979 |      16.8098 | 2016-07-12 00:00:00.000 |          62 |               2 |        73.88 | One Liners      | 2016-07-23 00:00:00.000 |
|     10752 |           1 |            8 |   144.16 |      0     |   116.77   |        27.3904 |     219.123  | 2016-08-29 00:00:00.000 |          53 |               2 |        50.65 | One Liners      | 2016-09-04 00:00:00.000 |
|     10875 |          19 |           25 |   213.75 |      0     |   188.528  |        25.2225 |     630.562  | 2017-09-09 00:00:00.000 |           5 |               9 |        51.98 | One Liners      | 2017-09-14 00:00:00.000 |
|     11035 |          54 |           10 |   373    |      0     |   328.986  |        44.014  |     440.14   | 2018-01-23 00:00:00.000 |          76 |               5 |        38.64 | Ship for U      | 2018-02-05 00:00:00.000 |
|     10844 |          22 |           35 |   125.65 |      0     |   110.823  |        14.8267 |     518.935  | 2017-07-27 00:00:00.000 |          59 |              14 |        69.16 | Ship for U      | 2017-07-28 00:00:00.000 |
|     10991 |          70 |           20 |   716.16 |    119.36  |   526.378  |       189.782  |    3676.29   | 2017-07-07 00:00:00.000 |          63 |              68 |        63.32 | One Liners      | 2017-07-11 00:00:00.000 |
|     10659 |          31 |           20 |   173.04 |      8.24  |   133.488  |        39.552  |     782.8    | 2016-08-10 00:00:00.000 |          62 |               2 |        65.19 | One Liners      | 2016-08-30 00:00:00.000 |
|     10479 |          64 |           30 |  1044.9  |      0     |   865.177  |       179.723  |    5391.68   | 2015-06-24 00:00:00.000 |          63 |              68 |        30.01 | One Liners      | 2015-07-02 00:00:00.000 |
|     10817 |          26 |           40 |  1378.16 |    179.76  |   970.704  |       407.456  |   16118.5    | 2017-10-10 00:00:00.000 |          39 |               3 |        52.68 | One Liners      | 2017-10-12 00:00:00.000 |
|     10861 |          21 |           40 |   367.6  |      0     |   324.223  |        43.3768 |    1735.07   | 2017-09-05 00:00:00.000 |          89 |               3 |        44.72 | One Liners      | 2017-09-13 00:00:00.000 |
|     10329 |          56 |           12 |   505.64 |     24.078 |   416.068  |        89.5702 |    1050.76   | 2015-03-21 00:00:00.000 |          75 |              11 |        75.98 | Freight Express | 2015-04-06 00:00:00.000 |
|     10701 |          76 |           35 | 14456.2  |   1885.59  | 10182.2    |      4274      |  147705      | 2017-01-15 00:00:00.000 |          37 |               9 |        34.44 | One Liners      | 2017-01-24 00:00:00.000 |
|     10676 |          19 |            7 |    67.55 |      0     |    56.0862 |        11.4638 |      80.2466 | 2017-02-24 00:00:00.000 |          80 |              11 |        49.84 | Freight Express | 2017-03-13 00:00:00.000 |
|     10611 |          60 |           15 |    79.2  |      0     |    64.152  |        15.048  |     225.72   | 2016-10-28 00:00:00.000 |          91 |              68 |        38.74 | One Liners      | 2016-11-09 00:00:00.000 |
|     11000 |          24 |           30 |   162.75 |     32.55  |   114.836  |        47.9136 |    1404.86   | 2017-09-09 00:00:00.000 |          37 |               3 |        77.16 | One Liners      | 2017-09-21 00:00:00.000 |
|     10529 |          55 |           14 |   517.58 |      0     |   428.556  |        89.0238 |    1246.33   | 2018-03-13 00:00:00.000 |          50 |               5 |        40.32 | Ship for U      | 2018-03-19 00:00:00.000 |
|     10789 |          68 |           18 |   224.82 |      0     |   182.104  |        42.7158 |     768.884  | 2016-09-24 00:00:00.000 |          23 |              56 |        31.92 | Ship for U      | 2016-10-10 00:00:00.000 |
|     10751 |          73 |           15 |    15.6  |      0     |    12.636  |         2.964  |      44.46   | 2016-09-26 00:00:00.000 |          37 |               3 |        31.69 | One Liners      | 2016-09-30 00:00:00.000 |
|     10979 |          24 |           80 |   329.6  |      0     |   290.707  |        38.8928 |    3111.42   | 2017-09-01 00:00:00.000 |          32 |              11 |        72.67 | Freight Express | 2017-09-08 00:00:00.000 |
|     10312 |          43 |           24 |   314.64 |      0     |   271.849  |        42.791  |    1026.98   | 2016-07-28 00:00:00.000 |          37 |               3 |        76.68 | One Liners      | 2016-08-07 00:00:00.000 |
|     10541 |          38 |            4 |   340.82 |     30.984 |   250.97   |        89.8536 |     328.43   | 2015-12-24 00:00:00.000 |          34 |               9 |        75.44 | One Liners      | 2015-12-27 00:00:00.000 |
|     10536 |          31 |           20 |   178.2  |      0     |   144.342  |        33.858  |     677.16   | 2017-09-17 00:00:00.000 |          44 |               7 |        58.11 | One Liners      | 2017-09-28 00:00:00.000 |
|     10877 |          16 |           30 |   375.38 |     75.075 |   264.865  |       110.51   |    3240.24   | 2017-10-13 00:00:00.000 |          67 |               3 |        44.17 | One Liners      | 2017-10-20 00:00:00.000 |
|     10902 |          62 |            6 |   193.2  |     25.2   |   148.176  |        45.024  |     244.944  | 2017-05-28 00:00:00.000 |          24 |               7 |        67.01 | One Liners      | 2017-06-08 00:00:00.000 |
|     11043 |          11 |           10 |   282.8  |      0     |   249.43   |        33.3704 |     333.704  | 2017-07-28 00:00:00.000 |          19 |               9 |        39.19 | One Liners      | 2017-07-30 00:00:00.000 |
|     11007 |          29 |           10 |  1344.1  |      0     |  1185.5    |       158.604  |    1586.04   | 2018-01-11 00:00:00.000 |          60 |              14 |        69.59 | Ship for U      | 2018-01-15 00:00:00.000 |
|     11056 |          60 |           50 |   269    |      0     |   247.474  |        21.5264 |    1076.32   | 2017-05-02 00:00:00.000 |          19 |               3 |        74.83 | One Liners      | 2017-05-11 00:00:00.000 |
|     10439 |          12 |           15 |   153.3  |      0     |   126.932  |        26.3676 |     395.514  | 2015-08-13 00:00:00.000 |          51 |              11 |        63.71 | Freight Express | 2015-08-27 00:00:00.000 |
|     10276 |          13 |           10 |   274.5  |      0     |   237.168  |        37.332  |     373.32   | 2015-01-11 00:00:00.000 |          80 |              11 |        22.95 | Freight Express | 2015-01-19 00:00:00.000 |
|     10451 |          77 |           55 |   756.86 |     68.805 |   569.705  |       187.15   |   10224.4    | 2016-03-25 00:00:00.000 |          63 |               7 |        51.42 | One Liners      | 2016-04-09 00:00:00.000 |
|     10540 |           3 |           60 |  1146    |      0     |   928.26   |       217.74   |   13064.4    | 2015-07-25 00:00:00.000 |          63 |              68 |        71.42 | One Liners      | 2015-08-05 00:00:00.000 |
|     10398 |          35 |           30 |   163.5  |      0     |   146.39   |        17.1104 |     513.312  | 2016-02-03 00:00:00.000 |          71 |               3 |        27.57 | One Liners      | 2016-02-12 00:00:00.000 |
|     11027 |          62 |           21 |   754.95 |    150.99  |   589.623  |       165.327  |    3320.88   | 2017-07-22 00:00:00.000 |          10 |              11 |        45.87 | Freight Express | 2017-07-23 00:00:00.000 |
|     10580 |          65 |           30 |   292.32 |     13.92  |   241.3    |        51.0199 |    1516.68   | 2016-09-28 00:00:00.000 |          56 |               7 |        75.2  | One Liners      | 2016-10-08 00:00:00.000 |
|     10828 |          20 |            5 |   409.35 |      0     |   361.047  |        48.3033 |     241.517  | 2017-04-17 00:00:00.000 |          59 |              14 |        78.73 | Ship for U      | 2017-04-21 00:00:00.000 |
|     10877 |          18 |           25 |   644.5  |      0     |   568.449  |        76.051  |    1901.28   | 2017-10-13 00:00:00.000 |          67 |               3 |        44.17 | One Liners      | 2017-10-20 00:00:00.000 |
|     10549 |          45 |          100 |  1084.45 |    141.45  |   763.83   |       320.62   |   31920.5    | 2017-08-02 00:00:00.000 |          63 |              68 |        60.32 | One Liners      | 2017-08-15 00:00:00.000 |
|     10609 |          21 |            6 |    64.14 |      0     |    51.9534 |        12.1866 |      73.1196 | 2016-09-26 00:00:00.000 |          18 |              56 |        52.39 | Ship for U      | 2016-10-08 00:00:00.000 |
|     10332 |          18 |           40 |  1191.36 |    198.56  |   857.779  |       333.581  |   13144.7    | 2018-01-20 00:00:00.000 |          51 |              11 |        22.5  | Freight Express | 2018-02-05 00:00:00.000 |
|     10253 |          39 |           42 |  2433.9  |      0     |  2015.27   |       418.631  |   17582.5    | 2017-10-14 00:00:00.000 |          34 |               3 |        66.54 | One Liners      | 2017-10-24 00:00:00.000 |
|     10417 |          38 |           50 |  3960.5  |      0     |  3292.62   |       667.885  |   33394.2    | 2017-04-20 00:00:00.000 |          73 |               9 |        29.88 | One Liners      | 2017-05-03 00:00:00.000 |
|     10697 |          70 |           30 |  1040.63 |    208.125 |   674.325  |       366.3    |   10780.9    | 2016-09-10 00:00:00.000 |          47 |               3 |        32.34 | One Liners      | 2016-09-26 00:00:00.000 |
|     10706 |          43 |           24 |   281.76 |      0     |   228.226  |        53.5344 |    1284.83   | 2016-08-21 00:00:00.000 |          17 |              68 |        43.08 | One Liners      | 2016-08-31 00:00:00.000 |
|     10830 |           6 |            6 |    23.82 |      0     |    21.0092 |         2.8108 |      16.8648 | 2017-08-19 00:00:00.000 |          81 |               2 |        64.98 | One Liners      | 2017-09-01 00:00:00.000 |
|     11078 |           2 |           10 |   198.45 |      9.45  |   166.698  |        31.752  |     308.07   | 2017-05-03 00:00:00.000 |          22 |              14 |        50    | Ship for U      | 2017-05-17 00:00:00.000 |
|     10302 |          17 |           40 |  1026    |      0     |   886.464  |       139.536  |    5581.44   | 2015-07-16 00:00:00.000 |          32 |              11 |        48.81 | Freight Express | 2015-07-30 00:00:00.000 |
|     10923 |          67 |           24 |  1842.34 |    307.056 |  1354.12   |       488.219  |   11410.2    | 2017-11-04 00:00:00.000 |          41 |              14 |        76.9  | Ship for U      | 2017-11-07 00:00:00.000 |
|     11042 |          44 |           15 |  1131.15 |      0     |   997.674  |       133.476  |    2002.14   | 2017-07-28 00:00:00.000 |          59 |               5 |        35.5  | Ship for U      | 2017-08-18 00:00:00.000 |



label: CupomID
Data
CupomID
ClienteID
CupomID
FuncionarioID
CupomID
ValorFrete
CupomID
EmpresaFrete
CupomID
DataEntrega
output: {"Functional-Dependency": [["CupomID", "Data"], ["CupomID", "ClienteID"], ["CupomID", "FuncionarioID"], ["CupomID", "ValorFrete"], ["CupomID", "EmpresaFrete"], ["CupomID", "DataEntrega"]]}
labeled_fds: CupomID
Data
CupomID
ClienteID
CupomID
FuncionarioID
CupomID
ValorFrete
CupomID
EmpresaFrete
CupomID
DataEntrega
Valor
CupomID
Valor
Quantidade
Valor
Desconto
Valor
Custo
Valor
ValorLiquido
Valor
valorTotal
Valor
Data
Valor
ClienteID
Valor
FuncionarioID
Valor
ValorFrete
Valor
EmpresaFrete
Valor
DataEntrega
Custo
CupomID
Custo
ProdutoID
Custo
Quantidade
Custo
Valor
Custo
Desconto
Custo
ValorLiquido
Custo
valorTotal
Custo
Data
Custo
ClienteID
Custo
FuncionarioID
Custo
ValorFrete
Custo
EmpresaFrete
Custo
DataEntrega
ValorLiquido
CupomID
ValorLiquido
Quantidade
ValorLiquido
Valor
ValorLiquido
Desconto
ValorLiquido
Custo
ValorLiquido
valorTotal
ValorLiquido
ClienteID
ValorLiquido
FuncionarioID
ValorLiquido
ValorFrete
ValorLiquido
EmpresaFrete
ValorLiquido
DataEntrega
valorTotal
CupomID
valorTotal
ProdutoID
valorTotal
Quantidade
valorTotal
Valor
valorTotal
Desconto
valorTotal
Custo
valorTotal
ValorLiquido
valorTotal
Data
valorTotal
ClienteID
valorTotal
FuncionarioID
valorTotal
ValorFrete
valorTotal
EmpresaFrete
valorTotal
DataEntrega
ValorFrete
CupomID
ValorFrete
Data
ValorFrete
ClienteID
ValorFrete
EmpresaFrete
source: $MMTU_HOME/resources/Relationship-finding/FD/179285196