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:
|   Column1_many | dia de compra           |   id_usuario |   id_compra |   Column1 | registro                | pais           |   comprador |   Compras | mes_de_registro         |
|---------------:|:------------------------|-------------:|------------:|----------:|:------------------------|:---------------|------------:|----------:|:------------------------|
|          18501 | 2021-12-14 00:00:00.000 |        15369 |       18501 |     15369 | 2021-12-13 00:00:00.000 | Spain          |           1 |         3 | 2021-12-01 00:00:00.000 |
|            668 | 2021-09-17 00:00:00.000 |          469 |         668 |       469 | 2021-09-17 00:00:00.000 | Croatia        |           1 |         2 | 2021-09-01 00:00:00.000 |
|          17360 | 2021-12-09 00:00:00.000 |        14178 |       17360 |     14178 | 2021-12-09 00:00:00.000 | Spain          |           1 |         1 | 2021-12-01 00:00:00.000 |
|          11978 | 2021-11-20 00:00:00.000 |         9182 |       11978 |      9182 | 2021-11-19 00:00:00.000 | Bulgaria       |           1 |         4 | 2021-11-01 00:00:00.000 |
|          12178 | 2021-11-20 00:00:00.000 |         9359 |       12178 |      9359 | 2021-11-20 00:00:00.000 | Spain          |           1 |         1 | 2021-11-01 00:00:00.000 |
|          12781 | 2021-11-22 00:00:00.000 |         9902 |       12781 |      9902 | 2021-11-22 00:00:00.000 | Spain          |           1 |         2 | 2021-11-01 00:00:00.000 |
|          16346 | 2021-12-05 00:00:00.000 |        13198 |       16346 |     13198 | 2021-12-05 00:00:00.000 | Portugal       |           1 |         3 | 2021-12-01 00:00:00.000 |
|          14383 | 2021-12-01 00:00:00.000 |        11384 |       14383 |     11384 | 2021-11-28 00:00:00.000 | Spain          |           1 |         3 | 2021-11-01 00:00:00.000 |
|           7159 | 2021-12-16 00:00:00.000 |         5132 |        7159 |      5132 | 2021-10-29 00:00:00.000 | Latvia         |           1 |         3 | 2021-10-01 00:00:00.000 |
|          14767 | 2021-11-29 00:00:00.000 |        11731 |       14767 |     11731 | 2021-11-29 00:00:00.000 | Bulgaria       |           1 |         2 | 2021-11-01 00:00:00.000 |
|          12871 | 2021-11-22 00:00:00.000 |         9977 |       12871 |      9977 | 2021-11-22 00:00:00.000 | Italy          |           1 |         1 | 2021-11-01 00:00:00.000 |
|           4248 | 2021-10-18 00:00:00.000 |         2972 |        4248 |      2972 | 2021-10-15 00:00:00.000 | Italy          |           1 |         4 | 2021-10-01 00:00:00.000 |
|          17460 | 2021-12-09 00:00:00.000 |        14286 |       17460 |     14286 | 2021-12-09 00:00:00.000 | United Kingdom |           1 |         2 | 2021-12-01 00:00:00.000 |
|          15039 | 2021-12-12 00:00:00.000 |        11971 |       15039 |     11971 | 2021-12-01 00:00:00.000 | Spain          |           1 |         3 | 2021-12-01 00:00:00.000 |
|           2798 | 2021-11-07 00:00:00.000 |         1909 |        2798 |      1909 | 2021-10-06 00:00:00.000 | Spain          |           1 |         5 | 2021-10-01 00:00:00.000 |
|          18855 | 2021-12-17 00:00:00.000 |        15833 |       18855 |     15833 | 2021-12-14 00:00:00.000 | Portugal       |           1 |         3 | 2021-12-01 00:00:00.000 |
|          14931 | 2021-12-01 00:00:00.000 |        11857 |       14931 |     11857 | 2021-11-29 00:00:00.000 | Spain          |           1 |         2 | 2021-11-01 00:00:00.000 |
|          12318 | 2021-11-20 00:00:00.000 |         9473 |       12318 |      9473 | 2021-11-20 00:00:00.000 | Italy          |           1 |         3 | 2021-11-01 00:00:00.000 |
|           3015 | 2021-11-26 00:00:00.000 |         2048 |        3015 |      2048 | 2021-10-08 00:00:00.000 | Spain          |           1 |         5 | 2021-10-01 00:00:00.000 |
|           3376 | 2021-10-11 00:00:00.000 |         2350 |        3376 |      2350 | 2021-10-10 00:00:00.000 | Hungary        |           1 |         2 | 2021-10-01 00:00:00.000 |
|           1206 | 2021-09-30 00:00:00.000 |          825 |        1206 |       825 | 2021-09-23 00:00:00.000 | United Kingdom |           1 |         6 | 2021-09-01 00:00:00.000 |
|           9188 | 2021-11-09 00:00:00.000 |         6751 |        9188 |      6751 | 2021-11-08 00:00:00.000 | Spain          |           1 |         4 | 2021-11-01 00:00:00.000 |
|          15687 | 2021-12-03 00:00:00.000 |        12587 |       15687 |     12587 | 2021-12-03 00:00:00.000 | Portugal       |           1 |         2 | 2021-12-01 00:00:00.000 |
|          12648 | 2021-11-21 00:00:00.000 |         9753 |       12648 |      9753 | 2021-11-21 00:00:00.000 | United Kingdom |           1 |         1 | 2021-11-01 00:00:00.000 |
|          11215 | 2021-11-17 00:00:00.000 |         8449 |       11215 |      8449 | 2021-11-16 00:00:00.000 | Portugal       |           1 |         4 | 2021-11-01 00:00:00.000 |
|           3692 | 2021-10-17 00:00:00.000 |         2566 |        3692 |      2566 | 2021-10-12 00:00:00.000 | Belgium        |           1 |         4 | 2021-10-01 00:00:00.000 |
|          15169 | 2021-12-07 00:00:00.000 |        12082 |       15169 |     12082 | 2021-12-01 00:00:00.000 | Bulgaria       |           1 |         2 | 2021-12-01 00:00:00.000 |
|           8459 | 2021-11-05 00:00:00.000 |         6141 |        8459 |      6141 | 2021-11-05 00:00:00.000 | Spain          |           1 |         1 | 2021-11-01 00:00:00.000 |
|          10850 | 2021-11-14 00:00:00.000 |         8125 |       10850 |      8125 | 2021-11-14 00:00:00.000 | Spain          |           1 |         3 | 2021-11-01 00:00:00.000 |
|          19022 | 2021-12-15 00:00:00.000 |        16099 |       19022 |     16099 | 2021-12-15 00:00:00.000 | Spain          |           1 |         2 | 2021-12-01 00:00:00.000 |
|          16972 | 2021-12-07 00:00:00.000 |        13806 |       16972 |     13806 | 2021-12-07 00:00:00.000 | Spain          |           1 |         2 | 2021-12-01 00:00:00.000 |
|          14087 | 2021-12-01 00:00:00.000 |        11095 |       14087 |     11095 | 2021-11-27 00:00:00.000 | Italy          |           1 |         3 | 2021-11-01 00:00:00.000 |
|           5344 | 2021-10-21 00:00:00.000 |         3764 |        5344 |      3764 | 2021-10-21 00:00:00.000 | United Kingdom |           1 |         4 | 2021-10-01 00:00:00.000 |
|            112 | 2021-09-23 00:00:00.000 |           90 |         112 |        90 | 2021-09-07 00:00:00.000 | Germany        |           1 |         9 | 2021-09-01 00:00:00.000 |
|          11733 | 2021-11-18 00:00:00.000 |         8929 |       11733 |      8929 | 2021-11-18 00:00:00.000 | Poland         |           1 |         2 | 2021-11-01 00:00:00.000 |
|           4863 | 2021-10-25 00:00:00.000 |         3452 |        4863 |      3452 | 2021-10-19 00:00:00.000 | France         |           1 |         2 | 2021-10-01 00:00:00.000 |
|          16558 | 2021-12-16 00:00:00.000 |        13414 |       16558 |     13414 | 2021-12-06 00:00:00.000 | Spain          |           1 |         3 | 2021-12-01 00:00:00.000 |
|          16827 | 2021-12-11 00:00:00.000 |        13663 |       16827 |     13663 | 2021-12-07 00:00:00.000 | Spain          |           1 |         3 | 2021-12-01 00:00:00.000 |
|           5720 | 2021-10-23 00:00:00.000 |         4063 |        5720 |      4063 | 2021-10-23 00:00:00.000 | Spain          |           1 |         4 | 2021-10-01 00:00:00.000 |
|          16334 | 2021-12-07 00:00:00.000 |        13184 |       16334 |     13184 | 2021-12-05 00:00:00.000 | Malta          |           1 |         3 | 2021-12-01 00:00:00.000 |
|          17476 | 2021-12-09 00:00:00.000 |        14298 |       17476 |     14298 | 2021-12-09 00:00:00.000 | Spain          |           1 |         1 | 2021-12-01 00:00:00.000 |
|          17343 | 2021-12-09 00:00:00.000 |        14164 |       17343 |     14164 | 2021-12-09 00:00:00.000 | United Kingdom |           1 |         3 | 2021-12-01 00:00:00.000 |
|           9256 | 2021-11-22 00:00:00.000 |         6801 |        9256 |      6801 | 2021-11-08 00:00:00.000 | France         |           1 |         4 | 2021-11-01 00:00:00.000 |
|          15508 | 2021-12-02 00:00:00.000 |        12404 |       15508 |     12404 | 2021-12-02 00:00:00.000 | France         |           1 |         3 | 2021-12-01 00:00:00.000 |
|          14790 | 2021-11-30 00:00:00.000 |        11750 |       14790 |     11750 | 2021-11-29 00:00:00.000 | Spain          |           1 |         3 | 2021-11-01 00:00:00.000 |
|           6687 | 2021-10-31 00:00:00.000 |         4788 |        6687 |      4788 | 2021-10-27 00:00:00.000 | France         |           1 |         3 | 2021-10-01 00:00:00.000 |
|          18780 | 2021-12-14 00:00:00.000 |        15737 |       18780 |     15737 | 2021-12-14 00:00:00.000 | Belgium        |           1 |         1 | 2021-12-01 00:00:00.000 |
|           4916 | 2021-10-25 00:00:00.000 |         3483 |        4916 |      3483 | 2021-10-19 00:00:00.000 | Spain          |           1 |         3 | 2021-10-01 00:00:00.000 |
|           3384 | 2021-10-16 00:00:00.000 |         2356 |        3384 |      2356 | 2021-10-10 00:00:00.000 | Portugal       |           1 |         2 | 2021-10-01 00:00:00.000 |
|          12462 | 2021-11-21 00:00:00.000 |         9582 |       12462 |      9582 | 2021-11-20 00:00:00.000 | Spain          |           1 |         2 | 2021-11-01 00:00:00.000 |



label: id_usuario
Column1
id_usuario
registro
id_usuario
pais
id_usuario
comprador
id_usuario
Compras
id_usuario
mes_de_registro
output: {"Functional-Dependency": [["id_usuario", "Column1"], ["id_usuario", "registro"], ["id_usuario", "pais"], ["id_usuario", "comprador"], ["id_usuario", "Compras"], ["id_usuario", "mes_de_registro"]]}
labeled_fds: id_usuario
Column1
id_usuario
registro
id_usuario
pais
id_usuario
comprador
id_usuario
Compras
id_usuario
mes_de_registro
id_usuario
Column1_many
Column1
Column1_many
Column1
dia de compra
Column1
id_compra
source: $MMTU_HOME/resources/Relationship-finding/FD/313624843