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:
| InvoiceDate             |   InvoiceID |   InvoiceNumber |   ProfileNumber | ProfileName   |   InvoiceAmount | DueDate                 |   CreditDays | StatementGroup   |   CreditDays+1 |
|:------------------------|------------:|----------------:|----------------:|:--------------|----------------:|:------------------------|-------------:|:-----------------|---------------:|
| 2020-07-09 00:00:00.000 |      835286 |          748216 |          801500 | HSML          |          2075   | 2020-08-31 00:00:00.000 |           30 | M                |             31 |
| 2020-01-31 00:00:00.000 |      835051 |          748039 |        13000316 | KayeT         |           370   | 2020-03-03 00:00:00.000 |           30 | F                |             31 |
| 2020-03-01 00:00:00.000 |      835062 |          748055 |          104500 | Loyalty       |          3115   | 2020-05-01 00:00:00.000 |           30 | M                |             31 |
| 2020-04-13 00:00:00.000 |      835319 |          748252 |         1802500 | Pipeline      |           835   | 2020-05-31 00:00:00.000 |           30 | M                |             31 |
| 2020-02-13 00:00:00.000 |      835283 |          748212 |          104500 | Loyalty       |          2185   | 2020-03-31 00:00:00.000 |           30 | M                |             31 |
| 2020-08-18 00:00:00.000 |      835237 |          748161 |          104500 | Loyalty       |          2435   | 2020-10-01 00:00:00.000 |           30 | M                |             31 |
| 2020-05-18 00:00:00.000 |      835183 |          748135 |          102501 | Construction3 |          1625   | 2020-07-17 00:00:00.000 |           45 | F                |             46 |
| 2020-05-07 00:00:00.000 |      835305 |          748241 |          402800 | SMEF          |          6640   | 2020-06-16 00:00:00.000 |           30 | F                |             31 |
| 2020-05-15 00:00:00.000 |      835316 |          748248 |         1903300 | STINTINCINP   |          3625   | 2020-06-01 00:00:00.000 |           15 | F                |             16 |
| 2020-03-31 00:00:00.000 |      835083 |          748030 |         1903700 | SSTech        |           833   | 2020-05-02 00:00:00.000 |           30 | F                |             31 |
| 2020-05-12 00:00:00.000 |      835307 |          748244 |          102506 | Construction2 |             0   | 2020-07-01 00:00:00.000 |           45 | F                |             46 |
| 2020-05-31 00:00:00.000 |      835321 |          748255 |          102500 | Construct1    |          5150   | 2020-07-17 00:00:00.000 |           45 | F                |             46 |
| 2020-04-27 00:00:00.000 |      835264 |          748187 |         1905100 | SAMESAAAS     |           370   | 2020-05-31 00:00:00.000 |           30 | M                |             31 |
| 2020-06-05 00:00:00.000 |      835328 |          748266 |          403900 | DBMC          |          2450   | 2020-08-30 00:00:00.000 |           60 | M                |             61 |
| 2020-06-08 00:00:00.000 |      827597 |          741027 |          201200 | Cream         |           447.5 | 2020-08-16 00:00:00.000 |           60 | F                |             61 |
| 2020-05-21 00:00:00.000 |      835224 |          748152 |          102502 | Construction2 |          1485   | 2020-07-17 00:00:00.000 |           45 | F                |             46 |
| 2020-04-22 00:00:00.000 |      835222 |          748150 |         1301500 | CBM           |          6426   | 2020-06-16 00:00:00.000 |           45 | F                |             46 |
| 2020-04-01 00:00:00.000 |      835206 |          748142 |          106200 | NIGAMJ        |           720   | 2020-05-31 00:00:00.000 |           30 | M                |             31 |
| 2020-06-13 00:00:00.000 |      835251 |          748174 |          502200 | ESMESC        |         11735   | 2020-07-31 00:00:00.000 |           30 | M                |             31 |
| 2020-05-16 00:00:00.000 |      835309 |          748246 |          102506 | Construction2 |          1095   | 2020-07-17 00:00:00.000 |           45 | F                |             46 |
| 2020-02-05 00:00:00.000 |      835263 |          748186 |          104500 | Loyalty       |          3935   | 2020-03-31 00:00:00.000 |           30 | M                |             31 |
| 2020-02-02 00:00:00.000 |      835122 |          748047 |          202500 | LINKKARDO     |           962   | 2020-03-18 00:00:00.000 |           30 | F                |             31 |
| 2020-03-24 00:00:00.000 |      835158 |          748126 |         1303400 | MILDB         |          2410   | 2020-05-01 00:00:00.000 |           30 | M                |             31 |
| 2020-07-05 00:00:00.000 |      835256 |          748162 |          702200 | GMETC         |          2035   | 2020-09-30 00:00:00.000 |           60 | M                |             61 |
| 2020-05-10 00:00:00.000 |      835306 |          748243 |          102506 | Construction2 |          1120   | 2020-07-01 00:00:00.000 |           45 | F                |             46 |
| 2020-04-30 00:00:00.000 |      835302 |          748236 |         1301500 | CBM           |           605   | 2020-06-16 00:00:00.000 |           45 | F                |             46 |
| 2020-06-17 00:00:00.000 |      835312 |          748185 |          501900 | EVLEML        |          1585   | 2020-07-31 00:00:00.000 |           30 | M                |             31 |
| 2020-05-14 00:00:00.000 |      835308 |          748245 |          102506 | Construction2 |         14365   | 2020-07-01 00:00:00.000 |           45 | F                |             46 |
| 2020-02-07 00:00:00.000 |      835273 |          748199 |          104500 | Loyalty       |           890   | 2020-03-31 00:00:00.000 |           30 | M                |             31 |
| 2020-02-21 00:00:00.000 |      835320 |          748253 |          104500 | Loyalty       |          2240   | 2020-03-31 00:00:00.000 |           30 | M                |             31 |
| 2020-01-19 00:00:00.000 |      835189 |          748083 |         1301500 | CBM           |          5425   | 2020-03-18 00:00:00.000 |           45 | F                |             46 |
| 2020-02-06 00:00:00.000 |      835046 |          748035 |          104500 | Loyalty       |          1915   | 2020-03-31 00:00:00.000 |           30 | M                |             31 |
| 2020-04-20 00:00:00.000 |      835268 |          748193 |          107300 | ASABLLL       |          3070   | 2020-06-30 00:00:00.000 |           60 | M                |             61 |
| 2020-05-30 00:00:00.000 |      835210 |          748144 |          201201 | Cream1        |         -6500   | 2020-08-01 00:00:00.000 |           60 | F                |             61 |
| 2020-03-28 00:00:00.000 |      835293 |          748225 |         1303400 | MILDB         |           240   | 2020-05-01 00:00:00.000 |           30 | M                |             31 |
| 2020-07-27 00:00:00.000 |      835069 |          748091 |          104500 | Loyalty       |          2265   | 2020-08-31 00:00:00.000 |           30 | M                |             31 |
| 2020-02-27 00:00:00.000 |      835235 |          748159 |         1303300 | DAGDU         |          9525   | 2020-04-30 00:00:00.000 |           60 | M                |             61 |
| 2020-03-02 00:00:00.000 |      835269 |          748195 |         1303300 | DAGDU         |         26125   | 2020-05-31 00:00:00.000 |           60 | M                |             61 |
| 2020-04-25 00:00:00.000 |      835260 |          748181 |         1905100 | SAMESAAAS     |          1210   | 2020-05-31 00:00:00.000 |           30 | M                |             31 |
| 2020-06-01 00:00:00.000 |      835278 |          748201 |          201201 | Cream1        |          7970   | 2020-08-16 00:00:00.000 |           60 | F                |             61 |
| 2020-06-07 00:00:00.000 |      835304 |          748238 |          502000 | ESCB          |          4970   | 2020-07-17 00:00:00.000 |           30 | F                |             31 |
| 2020-06-30 00:00:00.000 |      825250 |          736144 |         1300109 | FAMJ          |           527   | 2020-08-16 00:00:00.000 |           45 | F                |             46 |
| 2020-03-17 00:00:00.000 |      835145 |          748087 |         1300900 | Malik         |          2795   | 2020-05-01 00:00:00.000 |           30 | M                |             31 |
| 2020-02-18 00:00:00.000 |      835056 |          748043 |          104500 | Loyalty       |          7250   | 2020-03-31 00:00:00.000 |           30 | M                |             31 |
| 2020-02-01 00:00:00.000 |      835255 |          748178 |          104500 | Loyalty       |          8725   | 2020-03-31 00:00:00.000 |           30 | M                |             31 |
| 2020-06-26 00:00:00.000 |      815934 |          730051 |          302100 | CME           |           560   | 2020-07-31 00:00:00.000 |           30 | M                |             31 |
| 2020-02-28 00:00:00.000 |      835061 |          748054 |          104500 | Loyalty       |          3280   | 2020-03-31 00:00:00.000 |           30 | M                |             31 |
| 2020-02-08 00:00:00.000 |      835047 |          748036 |          104500 | Loyalty       |          4720   | 2020-03-31 00:00:00.000 |           30 | M                |             31 |
| 2020-03-14 00:00:00.000 |      835266 |          748191 |         1300108 | MGFSH         |           240   | 2020-05-01 00:00:00.000 |           45 | F                |             46 |
| 2020-06-21 00:00:00.000 |      835314 |          748223 |          501900 | EVLEML        |          3860   | 2020-07-31 00:00:00.000 |           30 | M                |             31 |



label: ProfileNumber
CreditDays
ProfileNumber
StatementGroup
ProfileNumber
CreditDays+1
output: {"Functional-Dependency": [["ProfileNumber", "CreditDays"], ["ProfileNumber", "StatementGroup"], ["ProfileNumber", "CreditDays+1"]]}
labeled_fds: ProfileNumber
CreditDays
ProfileNumber
StatementGroup
ProfileNumber
CreditDays+1
ProfileName
CreditDays
ProfileName
CreditDays+1
source: $MMTU_HOME/resources/Relationship-finding/FD/237083546