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:
|   customerID |   produitID |   offreSpecialID |   salesPersonID |   quantite |   mantantTotal |   id_produit | name                            | class   | categorie   | model                       |   uit_price |
|-------------:|------------:|-----------------:|----------------:|-----------:|---------------:|-------------:|:--------------------------------|:--------|:------------|:----------------------------|------------:|
|        29486 |         718 |                1 |             275 |          2 |      1717.8    |          718 | HL Road Frame - Red, 44         | H       | Components  | HL Road Frame               |         758 |
|        30074 |         738 |                1 |             282 |          2 |       357.162  |          738 | LL Road Frame - Black, 52       | L       | Components  | LL Road Frame               |         178 |
|        29566 |         771 |                1 |             275 |          1 |      2039.99   |          771 | Mountain-100 Silver, 38         | H       | Bikes       | Mountain-100                |        2039 |
|        29485 |         952 |                1 |             276 |          6 |        72.864  |          952 | Chain                           | inconnu | Components  | Chain                       |          12 |
|        29708 |         726 |                1 |             277 |          2 |       367.876  |          726 | LL Road Frame - Red, 48         | L       | Components  | LL Road Frame               |         183 |
|        29492 |         925 |                1 |             275 |          9 |      1348.87   |          925 | LL Mountain Frame - Black, 44   | L       | Components  | LL Mountain Frame           |         149 |
|        29740 |         756 |                1 |             282 |          1 |       874.794  |          756 | Road-450 Red, 44                | M       | Bikes       | Road-450                    |         874 |
|        29614 |         729 |                1 |             282 |          2 |       367.876  |          729 | LL Road Frame - Red, 60         | L       | Components  | LL Road Frame               |         183 |
|        30076 |         754 |                1 |             281 |          3 |      2624.38   |          754 | Road-450 Red, 58                | M       | Bikes       | Road-450                    |         874 |
|        29746 |         753 |                1 |             275 |          3 |      6440.89   |          753 | Road-150 Red, 56                | H       | Bikes       | Road-150                    |        2146 |
|        29489 |         997 |                1 |             281 |          2 |       647.988  |          997 | Road-750 Black, 44              | L       | Bikes       | Road-750                    |         323 |
|        29710 |         773 |                1 |             276 |          8 |     16320      |          773 | Mountain-100 Silver, 44         | H       | Bikes       | Mountain-100                |        2039 |
|        29488 |         965 |                1 |             286 |          2 |       890.82   |          965 | Touring-3000 Yellow, 62         | L       | Bikes       | Touring-3000                |         334 |
|        29488 |         864 |                3 |             285 |         22 |       768.347  |          864 | Classic Vest, S                 | inconnu | Clothing    | Classic Vest                |          38 |
|        29639 |         763 |                1 |             282 |          3 |      1258.38   |          763 | Road-650 Red, 48                | L       | Bikes       | Road-650                    |         419 |
|        29861 |         775 |                1 |             277 |          2 |      4049.99   |          775 | Mountain-100 Black, 38          | H       | Bikes       | Mountain-100                |        2024 |
|        29897 |         716 |                1 |             281 |          1 |        28.8404 |          716 | Long-Sleeve Logo Jersey, XL     | inconnu | Clothing    | Long-Sleeve Logo Jersey     |          28 |
|        29774 |         711 |                1 |             277 |          2 |        40.373  |          711 | Sport-100 Helmet, Blue          | inconnu | Accessories | Sport-100                   |          20 |
|        29892 |         732 |                1 |             282 |          3 |      1070.69   |          732 | ML Road Frame - Red, 48         | M       | Components  | ML Road Frame               |         356 |
|        29703 |         765 |                1 |             276 |          1 |       419.459  |          765 | Road-650 Black, 58              | L       | Bikes       | Road-650                    |         419 |
|        29496 |         964 |                1 |             281 |          4 |      1781.64   |          964 | Touring-3000 Yellow, 58         | L       | Bikes       | Touring-3000                |         334 |
|        29659 |         761 |                1 |             277 |          1 |       419.459  |          761 | Road-650 Red, 62                | L       | Bikes       | Road-650                    |         419 |
|        29746 |         756 |                1 |             275 |          1 |       874.794  |          756 | Road-450 Red, 44                | M       | Bikes       | Road-450                    |         874 |
|        29624 |         742 |                1 |             279 |          3 |      2167.78   |          742 | HL Mountain Frame - Silver, 46  | H       | Components  | HL Mountain Frame           |         722 |
|        29861 |         708 |                1 |             277 |          4 |        80.746  |          708 | Sport-100 Helmet, Black         | inconnu | Accessories | Sport-100                   |          20 |
|        29734 |         745 |                1 |             282 |          1 |       809.76   |          745 | HL Mountain Frame - Black, 48   | H       | Components  | HL Mountain Frame           |         809 |
|        29617 |         715 |                1 |             280 |          2 |        57.6808 |          715 | Long-Sleeve Logo Jersey, L      | inconnu | Clothing    | Long-Sleeve Logo Jersey     |          28 |
|        29834 |         707 |                1 |             281 |          3 |        60.5595 |          707 | Sport-100 Helmet, Red           | inconnu | Accessories | Sport-100                   |          20 |
|        29690 |         716 |                1 |             281 |          3 |        86.5212 |          716 | Long-Sleeve Logo Jersey, XL     | inconnu | Clothing    | Long-Sleeve Logo Jersey     |          28 |
|        29698 |         714 |                1 |             282 |          5 |       144.202  |          714 | Long-Sleeve Logo Jersey, M      | inconnu | Clothing    | Long-Sleeve Logo Jersey     |          28 |
|        29504 |         775 |                1 |             279 |          1 |      2024.99   |          775 | Mountain-100 Black, 38          | H       | Bikes       | Mountain-100                |        2024 |
|        29746 |         733 |                1 |             275 |          1 |       356.898  |          733 | ML Road Frame - Red, 52         | M       | Components  | ML Road Frame               |         356 |
|        29888 |         761 |                1 |             279 |          2 |       838.918  |          761 | Road-650 Red, 62                | L       | Bikes       | Road-650                    |         419 |
|        30106 |         749 |                1 |             277 |          1 |      2146.96   |          749 | Road-150 Red, 62                | H       | Bikes       | Road-150                    |        2146 |
|        29523 |         716 |                1 |             277 |          2 |        57.6808 |          716 | Long-Sleeve Logo Jersey, XL     | inconnu | Clothing    | Long-Sleeve Logo Jersey     |          28 |
|        29813 |         777 |                1 |             282 |          2 |      4049.99   |          777 | Mountain-100 Black, 44          | H       | Bikes       | Mountain-100                |        2024 |
|        29722 |         711 |                1 |             282 |         10 |       201.865  |          711 | Sport-100 Helmet, Blue          | inconnu | Accessories | Sport-100                   |          20 |
|        29492 |         949 |                1 |             275 |          2 |       210.588  |          949 | LL Crankset                     | L       | Components  | LL Crankset                 |         105 |
|        29492 |         894 |                1 |             275 |          3 |       218.628  |          894 | Rear Derailleur                 | inconnu | Components  | Rear Derailleur             |          72 |
|        29773 |         763 |                1 |             280 |          1 |       419.459  |          763 | Road-650 Red, 48                | L       | Bikes       | Road-650                    |         419 |
|        29488 |         859 |                1 |             286 |         10 |       146.94   |          859 | Half-Finger Gloves, M           | inconnu | Clothing    | Half-Finger Gloves          |          14 |
|        29489 |         884 |                1 |             281 |          6 |       194.364  |          884 | Short-Sleeve Classic Jersey, XL | inconnu | Clothing    | Short-Sleeve Classic Jersey |          32 |
|        29734 |         772 |                1 |             282 |          2 |      4079.99   |          772 | Mountain-100 Silver, 42         | H       | Bikes       | Mountain-100                |        2039 |
|        29921 |         707 |                1 |             280 |          4 |        80.746  |          707 | Sport-100 Helmet, Red           | inconnu | Accessories | Sport-100                   |          20 |
|        29724 |         761 |                1 |             275 |          2 |       838.918  |          761 | Road-650 Red, 62                | L       | Bikes       | Road-650                    |         419 |
|        29651 |         707 |                1 |             277 |          1 |        20.1865 |          707 | Sport-100 Helmet, Red           | inconnu | Accessories | Sport-100                   |          20 |
|        29774 |         778 |                1 |             277 |          2 |      4049.99   |          778 | Mountain-100 Black, 48          | H       | Bikes       | Mountain-100                |        2024 |
|        29759 |         715 |                1 |             275 |          1 |        28.8404 |          715 | Long-Sleeve Logo Jersey, L      | inconnu | Clothing    | Long-Sleeve Logo Jersey     |          28 |
|        29486 |         856 |                1 |             275 |          3 |       161.982  |          856 | Men's Bib-Shorts, M             | inconnu | Clothing    | Men's Bib-Shorts            |          53 |
|        29489 |         838 |                1 |             281 |          3 |      2576.7    |          838 | HL Road Frame - Black, 44       | H       | Components  | HL Road Frame               |         780 |



label: produitID
id_produit
produitID
name
produitID
class
produitID
categorie
produitID
model
produitID
uit_price
output: {"Functional-Dependency": [["produitID", "id_produit"], ["produitID", "name"], ["produitID", "class"], ["produitID", "categorie"], ["produitID", "model"], ["produitID", "uit_price"]]}
labeled_fds: produitID
id_produit
produitID
name
produitID
class
produitID
categorie
produitID
model
produitID
uit_price
mantantTotal
quantite
mantantTotal
class
mantantTotal
categorie
mantantTotal
model
id_produit
offreSpecialID
name
offreSpecialID
uit_price
class
uit_price
categorie
source: $MMTU_HOME/resources/Relationship-finding/FD/269807844