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:
|   #cantidad_compra |   #total |   #cantidad_articulos |   #subtotal |   #descuento |    #IVA |   Id_tiempo |   Id_articulo |   Id_proveedor |   Id_comprador |   Id_compra |   #precio |   Id_Articulo | Descripcion                                           | Codigo        | ColorBase   | ColorDerivado   | UMD      | Tipo               | Grupo               |
|-------------------:|---------:|----------------------:|------------:|-------------:|--------:|------------:|--------------:|---------------:|---------------:|------------:|----------:|--------------:|:------------------------------------------------------|:--------------|:------------|:----------------|:---------|:-------------------|:--------------------|
|          1         |   625    |                     6 |      543.48 |         0    |   81.52 |    20140320 |          4383 |             88 |              9 |         291 |    90.58  |          4383 | MULTITONO VINIL-ACRILICA BASE NEUTRA 4LT              | BER1805G      | OTRO        |                 | BOTE 4LT | VINIL ACRILICAS    | MULTITONO VINILICAS |
|          0.217391  |  3304.84 |                    10 |     2849    |       231    |  455.84 |    20110207 |          4528 |             88 |              9 |         873 |   308     |          4528 | KOVER PRO III TERRACOTA 19LT                          | BER2805C      | OTRO        |                 | CUB 19LT | IMPERMEABILIZANTES | KOVER               |
|          0.153846  |   234.32 |                    50 |      202    |         0    |   32.32 |    20100928 |          4581 |            104 |              9 |         712 |     4.04  |          4581 | LIJA DE AGUA FANDELI Nº 100                           | LIJA100       | OTRO        |                 | PIEZA    | COMPLEMENTOS       | LIJAS               |
|          0.05      |   480.05 |                     2 |      413.84 |         0    |   66.21 |    20110429 |          3910 |             88 |              9 |         721 |   206.92  |          3910 | BERALKID ESMALTE ALQUIDALICO GRIS PERLA 4LT           | BER415G       | OTRO        | GRIS            | BOTE 4LT | ESMALTES           | BERALKID            |
|          0.176471  |   133.86 |                    12 |      116.4  |         3.6  |   17.46 |    20131202 |          4549 |             91 |              9 |         159 |    10     |          4549 | BROCHA 2 1/2                                          | B21/2         | OTRO        |                 | PIEZA    | COMPLEMENTOS       | BROCHAS             |
|          0.192308  |  1619.94 |                     5 |     1396.5  |         0    |  223.44 |    20160818 |          4516 |             88 |              9 |         779 |   279.3   |          4516 | BEREL-TEXT PASTA TEXTURIZADA ACRILICA S/G BLANCO 19LT | BER1923C      | BLANCO      |                 | CUB 19LT | TEXTURAS           | BEREL               |
|          0.344828  |   418.6  |                    10 |      364    |         0    |   54.6  |    20190512 |          4366 |             88 |              9 |         195 |    36.4   |          4366 | BERELINTE VINIL-ACRILICA BASE TINT 1LT                | BER8002L      | OTRO        |                 | BOTE 1LT | VINIL ACRILICAS    | BERELINTE           |
|          0.266667  |  3921.96 |                     8 |     3410.4  |         0    |  511.56 |    20131021 |          4505 |             88 |             13 |         245 |   426.3   |          4505 | SELLADOR VINILICO 19LT                                | BER570C       | OTRO        |                 | CUB 19LT | SELLADORES         | BEREL               |
|          0.277778  |   400.89 |                    10 |      348.6  |         0    |   52.29 |    20181028 |          4507 |             88 |              9 |         308 |    34.86  |          4507 | SELLADOR VINILICO 1LT                                 | BER570L       | OTRO        |                 | BOTE 1LT | SELLADORES         | BEREL               |
|          1         |   203.97 |                     2 |      175.84 |         0    |   28.13 |    20101127 |          4243 |             88 |              9 |         757 |    87.92  |          4243 | KALOS-TONE VINIL-ACRILICA BASE DEEP 4LT               | BER7003G      | OTRO        |                 | BOTE 4LT | VINIL ACRILICAS    | KALOS TONE          |
|          0.102564  |   515.13 |                     4 |      444.08 |         0    |   71.05 |    20150217 |          4527 |             88 |             13 |         838 |   111.02  |          4527 | KOVER CRYL 5 AÑOS BLANCO 4LT                          | BER2623G      | BLANCO      |                 | BOTE 4LT | IMPERMEABILIZANTES | KOVER               |
|          0.105263  |   293.02 |                     2 |      254.8  |         0    |   38.22 |    20150809 |          4362 |             88 |              9 |         532 |   127.4   |          4362 | BERELINTE VINIL-ACRILICA BASE PASTEL 4LT              | BER8001G      | OTRO        |                 | BOTE 4LT | VINIL ACRILICAS    | BERELINTE           |
|          0.0192308 |   483    |                     1 |      420    |         0    |   63    |    20110502 |          4367 |             88 |              9 |         573 |   420     |          4367 | BERELINTE VINIL-ACRILICA BASE DEEP 19LT               | BER8003C      | OTRO        |                 | CUB 19LT | VINIL ACRILICAS    | BERELINTE           |
|          1         |   469.66 |                     4 |      404.88 |         0    |   64.78 |    20091024 |          4183 |             88 |              9 |         876 |   101.22  |          4183 | BARNIZ MARINO DE POLIURETANO 1LT                      | BER1100L      | OTRO        |                 | BOTE 1LT | BARNIZ             | POLIURETANO         |
|          1         |  2487.45 |                     5 |     2163    |         0    |  324.45 |    20100302 |          4511 |             88 |              9 |         201 |   432.6   |          4511 | BLOCK FILLER 19LT                                     | BER578C       | OTRO        |                 | CUB 19LT | SELLADORES         | BEREL               |
|          0.142857  |   879.06 |                     6 |      764.4  |         0    |  114.66 |    20120613 |          4362 |             88 |              9 |         447 |   127.4   |          4362 | BERELINTE VINIL-ACRILICA BASE PASTEL 4LT              | BER8001G      | OTRO        |                 | BOTE 4LT | VINIL ACRILICAS    | BERELINTE           |
|          0.111111  |   480.05 |                     2 |      413.84 |         0    |   66.21 |    20140826 |          3935 |             88 |              9 |         759 |   206.92  |          3935 | BERALKID ESMALTE ALQUIDALICO NEGRO 4LT                | BER424G       | NEGRO       |                 | BOTE 4LT | ESMALTES           | BERALKID            |
|          0.153846  |   602.78 |                     4 |      524.16 |         0    |   78.62 |    20140903 |          4311 |             88 |              9 |         451 |   131.04  |          4311 | BERELINTE VINIL-ACRILICA BLANCO 4LT                   | BER823G       | BLANCO      |                 | BOTE 4LT | VINIL ACRILICAS    | BERELINTE           |
|          0.136364  |  1149.79 |                     3 |      991.2  |         0    |  158.59 |    20170929 |          4530 |             88 |              9 |         767 |   330.4   |          4530 | SELLADOR ACRILICO KOVER 19LT                          | BER2470C      | OTRO        |                 | CUB 19LT | IMPERMEABILIZANTES | SELLADORES          |
|          0.0454545 |  2397.02 |                     2 |     2066.4  |         0    |  330.62 |    20110129 |          4501 |             88 |              9 |         974 |  1033.2   |          4501 | 100 ACRYL PINTURA 100% ACRILICA BASE TINT 19LT        | BER2102C      | OTRO        |                 | CUB 19LT | ACRILICAS          | 100ACRYL            |
|          0.37037   |   346.15 |                    10 |      301    |         0    |   45.15 |    20150714 |          4369 |             88 |             13 |         356 |    30.1   |          4369 | BERELINTE VINIL-ACRILICA BASE DEEP 1LT                | BER8003L      | OTRO        |                 | BOTE 1LT | VINIL ACRILICAS    | BERELINTE           |
|          0.37037   |   877.45 |                    10 |      763    |         0    |  114.45 |    20140319 |          4075 |             88 |              9 |         597 |    76.3   |          4075 | SUMMA ESMALTE SATINADO BLANCO 1LT                     | BER673L       | BLANCO      | SATINADO        | BOTE 1LT | ESMALTES           | SUMMA               |
|          0.181818  |   133.86 |                     6 |      116.4  |         0    |   17.46 |    20110302 |          4610 |            103 |             12 |         510 |    19.4   |          4610 | FAM AEROSOL BLANCO BRILLANTE                          | FAM800        | BLANCO      | BRILLANTE       | 400ML    | COMPLEMENTOS       | AEROSOLES           |
|          0.615385  |   267.72 |                    24 |      232.8  |         7.2  |   34.92 |    20121108 |          4549 |             91 |              9 |         384 |    10     |          4549 | BROCHA 2 1/2                                          | B21/2         | OTRO        |                 | PIEZA    | COMPLEMENTOS       | BROCHAS             |
|          0.5       |     0    |                     2 |        0    |         0    |    0    |    20180708 |          4500 |             88 |              9 |         364 |     0     |          4500 | 100 ACRYL PINTURA 100% ACRILICA 4LT                   | BER2123G      | OTRO        |                 | BOTE 4LT | ACRILICAS          | 100ACRYL            |
|          0.113208  |   737.06 |                     6 |      640.92 |         0    |   96.14 |    20090819 |          4506 |             88 |             13 |         413 |   106.819 |          4506 | SELLADOR VINILICO 4LT                                 | BER570G       | OTRO        |                 | BOTE 4LT | SELLADORES         | BEREL               |
|          0.043956  |  1221.25 |                     4 |     1052.8  |         0    |  168.45 |    20120114 |          4124 |             88 |              9 |         928 |   263.2   |          4124 | PINTURA PARA TRANSITO AMARILLO 4LT                    | BER17G        | AMARILLO    |                 | BOTE 4LT | ESMALTES           | TRANSITO            |
|          0.555556  |  2201.68 |                     5 |     1914.5  |         0    |  287.18 |    20180930 |          4236 |             88 |              9 |         137 |   382.9   |          4236 | KALOS-TONE VINIL-ACRILICA BASE PASTEL 19LT            | BER7001C      | OTRO        |                 | CUB 19LT | VINIL ACRILICAS    | KALOS TONE          |
|          0.333333  |  4725.84 |                     6 |     4074    |         0    |  651.84 |    20180917 |          4414 |             88 |             12 |         755 |   679     |          4414 | BERELEX VINIL-ACRILICA BASE PATEL 19LT                | BER1301C      | OTRO        |                 | CUB 19LT | VINIL ACRILICAS    | BERELEX             |
|          0.0454545 |   323.99 |                     1 |      279.3  |         0    |   44.69 |    20170929 |          4516 |             88 |              9 |         767 |   279.3   |          4516 | BEREL-TEXT PASTA TEXTURIZADA ACRILICA S/G BLANCO 19LT | BER1923C      | BLANCO      |                 | CUB 19LT | TEXTURAS           | BEREL               |
|          0.149254  |   124.98 |                    10 |      108.68 |         5.72 |   16.3  |    20151122 |          4681 |            103 |             12 |         558 |    11.44  |          4681 | EXTENCION METALICA DE  1.20 MTRS                      | EXTENCION1.20 | OTRO        |                 | PIEZA    | COMPLEMENTOS       | EXTENCIONES         |
|          0.0104167 |  1159.21 |                     1 |     1008.01 |         0    |  151.2  |    20150421 |          4126 |             88 |              9 |         523 |  1008.01  |          4126 | PINTURA PARA TRANSITO BLANCO 19LT                     | BER23C        | BLANCO      |                 | CUB 19LT | ESMALTES           | TRANSITO            |
|          0.609756  |   425.43 |                    25 |      366.75 |         0    |   58.68 |    20100320 |          4564 |            105 |              9 |         908 |    14.67  |          4564 | REPUESTO HOME-PRO SUPERFICIES ASPERAS 9 3/4           | REPUESTO3/4   | OTRO        |                 | PIEZA    | COMPLEMENTOS       | REPUESTOS           |
|          0.108696  |     0    |                    10 |        0    |         0    |    0    |    20090706 |          4412 |             88 |              9 |         343 |     0     |          4412 | BERELEX VINIL-ACRILICA BLANCO 4LT                     | BER223G       | BLANCO      |                 | BOTE 4LT | VINIL ACRILICAS    | BERELEX             |
|          0.166667  |   469.66 |                     4 |      404.88 |         0    |   64.78 |    20170803 |          4183 |             88 |              9 |         796 |   101.22  |          4183 | BARNIZ MARINO DE POLIURETANO 1LT                      | BER1100L      | OTRO        |                 | BOTE 1LT | BARNIZ             | POLIURETANO         |
|          0.333333  |  1927.17 |                     6 |     1675.8  |         0    |  251.37 |    20160529 |          4516 |             88 |              9 |         588 |   279.3   |          4516 | BEREL-TEXT PASTA TEXTURIZADA ACRILICA S/G BLANCO 19LT | BER1923C      | BLANCO      |                 | CUB 19LT | TEXTURAS           | BEREL               |
|          0.571429  |  5081.16 |                     4 |     4418.4  |         0    |  662.76 |    20190421 |          4499 |             88 |              9 |         414 |  1104.6   |          4499 | 100 ACRYL PINTURA 100% ACRILICA 19LT                  | BER2123C      | OTRO        |                 | CUB 19LT | ACRILICAS          | 100ACRYL            |
|          0.0588235 |   635.95 |                     1 |      553    |         0    |   82.95 |    20100712 |          4373 |             88 |              9 |         530 |   553     |          4373 | MULTITONO VINIL-ACRILICA BASE PASTEL 19LT             | BER1801C      | OTRO        |                 | CUB 19LT | VINIL ACRILICAS    | MULTITONO VINILICAS |
|          0.428571  |  7462.35 |                    15 |     6489    |         0    |  973.35 |    20171012 |          4511 |             88 |              9 |         231 |   432.6   |          4511 | BLOCK FILLER 19LT                                     | BER578C       | OTRO        |                 | CUB 19LT | SELLADORES         | BEREL               |
|          0.5       |     0    |                    28 |        0    |         0    |    0    |    20150626 |          4676 |             88 |              9 |         647 |     0     |          4676 | BROCHA BYP 6 (PROMOCION)                              | BP            | OTRO        |                 | PIEZA    | COMPLEMENTOS       | BROCHAS             |
|          0.222222  |   674.96 |                    24 |      581.86 |        30.62 |   93.1  |    20190707 |          4552 |            103 |             12 |         797 |    25.52  |          4552 | BROCHA  PERFECT 392 DE 5                              | B5            | OTRO        |                 | PIEZA    | COMPLEMENTOS       | BROCHAS             |
|          1         | 23913.4  |                    50 |    20615    |         0    | 3298.4  |    20130115 |          4526 |             88 |              9 |         951 |   412.3   |          4526 | KOVER CRYL 5 AÑOS BLANCO 19LT                         | BER2623C      | BLANCO      |                 | CUB 19LT | IMPERMEABILIZANTES | KOVER               |
|          0.084507  |  2631.5  |                     6 |     2288.26 |       185.54 |  343.24 |    20150918 |          4524 |             88 |              9 |         339 |   412.3   |          4524 | KOVER CRYL 5 AÑOS TERRECOTA 19LT                      | BER2605C      | OTRO        |                 | CUB 19LT | IMPERMEABILIZANTES | KOVER               |
|          0.0784314 |   158.42 |                    12 |      136.57 |         7.19 |   21.85 |    20120705 |          4567 |            103 |             12 |         991 |    11.98  |          4567 | CEPILLO PARA PINTOR                                   | CEPILLO       | OTRO        |                 | PIEZA    | COMPLEMENTOS       | APLICACIÓN          |
|          0.222222  |   535.92 |                    10 |      462    |         0    |   73.92 |    20090107 |          4416 |             88 |              9 |         685 |    46.2   |          4416 | BERELEX VINIL-ACRILICA BASE PATEL 1LT                 | BER1301L      | OTRO        |                 | BOTE 1LT | VINIL ACRILICAS    | BERELEX             |
|          0.0769231 |   513.18 |                     4 |      442.4  |         0    |   70.78 |    20180119 |          4649 |             88 |             13 |         994 |   110.6   |          4649 | AMARILLO OXIDO ( C ) 1L                               | 1703          | AMARILLO    | OXIDO           | LITRO 1L | TINTAS             | TINTAS              |
|          0.0740741 |   465.61 |                     4 |      404.88 |         0    |   60.73 |    20140105 |          4183 |             88 |              9 |         434 |   101.22  |          4183 | BARNIZ MARINO DE POLIURETANO 1LT                      | BER1100L      | OTRO        |                 | BOTE 1LT | BARNIZ             | POLIURETANO         |
|          0.225     |  1075.51 |                    36 |      927.16 |        48.8  |  148.35 |    20100113 |          4553 |            103 |             12 |         832 |    27.11  |          4553 | BROCHA 6                                              | B6            | OTRO        |                 | PIEZA    | COMPLEMENTOS       | BROCHAS             |
|          0.181818  |  6219.92 |                    10 |     5362    |         0    |  857.92 |    20130202 |          4310 |             88 |              9 |         912 |   536.2   |          4310 | BERELINTE VINIL-ACRILICA BLANCO 19LT                  | BER823C       | BLANCO      |                 | CUB 19LT | VINIL ACRILICAS    | BERELINTE           |
|          0.0980392 |  3276.35 |                    10 |     2849    |       231    |  427.35 |    20161126 |          4528 |             88 |              9 |         370 |   308     |          4528 | KOVER PRO III TERRACOTA 19LT                          | BER2805C      | OTRO        |                 | CUB 19LT | IMPERMEABILIZANTES | KOVER               |



label: Id_articulo
Id_Articulo
Id_articulo
Descripcion
Id_articulo
Codigo
Id_articulo
ColorBase
Id_articulo
ColorDerivado
Id_articulo
UMD
Id_articulo
Tipo
Id_articulo
Grupo
output: {"Functional-Dependency": [["Id_articulo", "Id_Articulo"], ["Id_articulo", "Descripcion"], ["Id_articulo", "Codigo"], ["Id_articulo", "ColorBase"], ["Id_articulo", "ColorDerivado"], ["Id_articulo", "UMD"], ["Id_articulo", "Tipo"], ["Id_articulo", "Grupo"]]}
labeled_fds: Id_articulo
Id_Articulo
Id_articulo
Descripcion
Id_articulo
Codigo
Id_articulo
ColorBase
Id_articulo
ColorDerivado
Id_articulo
UMD
Id_articulo
Tipo
Id_articulo
Grupo
#total
#subtotal
#total
#descuento
#total
#IVA
#total
Id_proveedor
#total
#precio
#total
UMD
#subtotal
#descuento
#subtotal
Id_proveedor
#subtotal
#precio
#subtotal
Tipo
#IVA
#descuento
#IVA
Id_proveedor
#IVA
ColorDerivado
#IVA
Tipo
Id_tiempo
Id_compra
Id_tiempo
ColorDerivado
Id_compra
#descuento
#precio
Id_proveedor
Descripcion
Id_articulo
Descripcion
Id_Articulo
Descripcion
Codigo
Descripcion
UMD
Codigo
Id_proveedor
ColorDerivado
#descuento
ColorDerivado
Id_proveedor
source: $MMTU_HOME/resources/Relationship-finding/FD/174518917