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:
| ItemID        | QTY       | Date Physical           | Inventory Value EUR   | Month number   | Year_many   | Date                    | Year   | QuarterOfYear   | MonthOfYear   | DayOfMonth   | DateInt   | MonthName   | MonthInCalendar   | QuarterInCalendar   | DayInWeek   | DayOfWeekName   | WeekEnding              | Week Number   | MonthnYear   | QuarternYear   | ShortYear   | FY   | Year/Week   | Sorting Year Week   | Dates before Today   |
|:--------------|:----------|:------------------------|:----------------------|:---------------|:------------|:------------------------|:-------|:----------------|:--------------|:-------------|:----------|:------------|:------------------|:--------------------|:------------|:----------------|:------------------------|:--------------|:-------------|:---------------|:------------|:-----|:------------|:--------------------|:---------------------|
| 1-2-0123-0039 | -191.0    | 2018-05-06 00:00:00.000 | -141.098135475816     | 5.0            | 2018.0      | 2018-05-06 00:00:00.000 | 2018   | 2               | 5             | 6            | 20180506  | maj         | maj 2018          | Q2 2018             | 7           | niedziela       | 2018-05-06 00:00:00.000 | 18            | 20180500     | 20180200       | 18          | FY19 | 2018 18     | 201818              | -1540                |
| 1-2-0123-0039 | -1080.0   | 2017-08-30 00:00:00.000 | -847.98755142324      | 8.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -532.0    | 2018-06-28 00:00:00.000 | -169.997222815401     | 6.0            | 2018.0      | 2018-06-28 00:00:00.000 | 2018   | 2               | 6             | 28           | 20180628  | czerwiec    | cze 2018          | Q2 2018             | 4           | czwartek        | 2018-07-01 00:00:00.000 | 26            | 20180600     | 20180200       | 18          | FY19 | 2018 26     | 201826              | -1487                |
| 1-2-0123-0039 | -22.4     | 2017-01-04 00:00:00.000 | -18.4103675932566     | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
|               |           |                         |                       |                |             |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -50.4     | 2017-01-04 00:00:00.000 | 0.0                   | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -212.0    | 2018-07-02 00:00:00.000 | -179.682127197478     | 7.0            | 2018.0      | 2018-07-02 00:00:00.000 | 2018   | 3               | 7             | 2            | 20180702  | lipiec      | lip 2018          | Q3 2018             | 1           | poniedziałek    | 2018-07-08 00:00:00.000 | 27            | 20180700     | 20180300       | 18          | FY19 | 2018 27     | 201827              | -1483                |
| 1-2-0123-0039 | -93.54    | 2018-04-13 00:00:00.000 | -70.6065823171168     | 4.0            | 2018.0      | 2018-04-13 00:00:00.000 | 2018   | 2               | 4             | 13           | 20180413  | kwiecień    | kwi 2018          | Q2 2018             | 5           | piątek          | 2018-04-15 00:00:00.000 | 15            | 20180400     | 20180200       | 18          | FY19 | 2018 15     | 201815              | -1563                |
| 1-2-0123-0039 | 6400.0    | 2018-03-09 00:00:00.000 | 0.0                   | 3.0            | 2018.0      | 2018-03-09 00:00:00.000 | 2018   | 1               | 3             | 9            | 20180309  | marzec      | mar 2018          | Q1 2018             | 5           | piątek          | 2018-03-11 00:00:00.000 | 10            | 20180300     | 20180100       | 18          | FY19 | 2018 10     | 201810              | -1598                |
| 1-2-0123-0039 | -88.88    | 2017-01-04 00:00:00.000 | 0.0                   | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -55.35    | 2017-01-04 00:00:00.000 | 0.0                   | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -573.0    | 2018-07-17 00:00:00.000 | -7.05842034940989     | 7.0            | 2018.0      | 2018-07-17 00:00:00.000 | 2018   | 3               | 7             | 17           | 20180717  | lipiec      | lip 2018          | Q3 2018             | 2           | wtorek          | 2018-07-22 00:00:00.000 | 29            | 20180700     | 20180300       | 18          | FY19 | 2018 29     | 201829              | -1468                |
| 1-2-0123-0039 | -330.0    | 2017-07-10 00:00:00.000 | -261.665829221986     | 7.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -75.4555  | 2018-07-17 00:00:00.000 | -0.929713296350844    | 7.0            | 2018.0      | 2018-07-17 00:00:00.000 | 2018   | 3               | 7             | 17           | 20180717  | lipiec      | lip 2018          | Q3 2018             | 2           | wtorek          | 2018-07-22 00:00:00.000 | 29            | 20180700     | 20180300       | 18          | FY19 | 2018 29     | 201829              | -1468                |
| 1-2-0123-0039 | -20.37    | 2017-01-04 00:00:00.000 | -16.7410693375994     | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
|               |           |                         |                       |                |             |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -220.2155 | 2018-07-23 00:00:00.000 | 0.0                   | 7.0            | 2018.0      | 2018-07-23 00:00:00.000 | 2018   | 3               | 7             | 23           | 20180723  | lipiec      | lip 2018          | Q3 2018             | 1           | poniedziałek    | 2018-07-29 00:00:00.000 | 30            | 20180700     | 20180300       | 18          | FY19 | 2018 30     | 201830              | -1462                |
| 1-2-0123-0039 | -340.0    | 2017-08-30 00:00:00.000 | -266.959912036579     | 8.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -1001.6   | 2018-06-21 00:00:00.000 | -320.05381763302      | 6.0            | 2018.0      | 2018-06-21 00:00:00.000 | 2018   | 2               | 6             | 21           | 20180621  | czerwiec    | cze 2018          | Q2 2018             | 4           | czwartek        | 2018-06-24 00:00:00.000 | 25            | 20180600     | 20180200       | 18          | FY19 | 2018 25     | 201825              | -1494                |
| 1-2-0123-0039 | 6300.0    | 2018-06-11 00:00:00.000 | 4695.85292207397      | 6.0            | 2018.0      | 2018-06-11 00:00:00.000 | 2018   | 2               | 6             | 11           | 20180611  | czerwiec    | cze 2018          | Q2 2018             | 1           | poniedziałek    | 2018-06-17 00:00:00.000 | 24            | 20180600     | 20180200       | 18          | FY19 | 2018 24     | 201824              | -1504                |
| 1-2-0123-0039 | -514.0    | 2018-06-21 00:00:00.000 | -164.244135548737     | 6.0            | 2018.0      | 2018-06-21 00:00:00.000 | 2018   | 2               | 6             | 21           | 20180621  | czerwiec    | cze 2018          | Q2 2018             | 4           | czwartek        | 2018-06-24 00:00:00.000 | 25            | 20180600     | 20180200       | 18          | FY19 | 2018 25     | 201825              | -1494                |
| 1-2-0123-0039 | 377.98    | 2017-12-29 00:00:00.000 | 297.537361557196      | 12.0           | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -274.82   | 2017-04-11 00:00:00.000 | -232.786532763458     | 4.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -6400.0   | 2018-03-09 00:00:00.000 | -5030.77262468394     | 3.0            | 2018.0      | 2018-03-09 00:00:00.000 | 2018   | 1               | 3             | 9            | 20180309  | marzec      | mar 2018          | Q1 2018             | 5           | piątek          | 2018-03-11 00:00:00.000 | 10            | 20180300     | 20180100       | 18          | FY19 | 2018 10     | 201810              | -1598                |
| 1-2-0123-0039 | 8.9       | 2017-01-04 00:00:00.000 | 0.0                   | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -111.0    | 2017-04-11 00:00:00.000 | -94.0236515719643     | 4.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -707.1975 | 2017-08-03 00:00:00.000 | 0.0                   | 8.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -1600.0   | 2017-07-20 00:00:00.000 | -1266.65778638079     | 7.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -867.58   | 2017-09-25 00:00:00.000 | -235.118151338112     | 9.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -8.9      | 2017-01-04 00:00:00.000 | 0.0                   | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -479.56   | 2017-12-18 00:00:00.000 | -377.499546089167     | 12.0           | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -1004.0   | 2018-07-05 00:00:00.000 | -12.3707373686086     | 7.0            | 2018.0      | 2018-07-05 00:00:00.000 | 2018   | 3               | 7             | 5            | 20180705  | lipiec      | lip 2018          | Q3 2018             | 4           | czwartek        | 2018-07-08 00:00:00.000 | 27            | 20180700     | 20180300       | 18          | FY19 | 2018 27     | 201827              | -1480                |
| 1-2-0123-0039 | -270.0    | 2018-06-19 00:00:00.000 | -86.2753971318654     | 6.0            | 2018.0      | 2018-06-19 00:00:00.000 | 2018   | 2               | 6             | 19           | 20180619  | czerwiec    | cze 2018          | Q2 2018             | 2           | wtorek          | 2018-06-24 00:00:00.000 | 25            | 20180600     | 20180200       | 18          | FY19 | 2018 25     | 201825              | -1496                |
| 1-2-0123-0039 | -406.0    | 2018-06-21 00:00:00.000 | -129.734906112351     | 6.0            | 2018.0      | 2018-06-21 00:00:00.000 | 2018   | 2               | 6             | 21           | 20180621  | czerwiec    | cze 2018          | Q2 2018             | 4           | czwartek        | 2018-06-24 00:00:00.000 | 25            | 20180600     | 20180200       | 18          | FY19 | 2018 25     | 201825              | -1494                |
| 1-2-0123-0039 | -436.46   | 2017-12-29 00:00:00.000 | -343.57331129518      | 12.0           | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -1082.0   | 2018-06-25 00:00:00.000 | -345.745209356567     | 6.0            | 2018.0      | 2018-06-25 00:00:00.000 | 2018   | 2               | 6             | 25           | 20180625  | czerwiec    | cze 2018          | Q2 2018             | 1           | poniedziałek    | 2018-07-01 00:00:00.000 | 26            | 20180600     | 20180200       | 18          | FY19 | 2018 26     | 201826              | -1490                |
| 1-2-0123-0039 | -6400.0   | 2017-12-02 00:00:00.000 | -1527.54894410949     | 12.0           | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | 574.15    | 2017-04-11 00:00:00.000 | 0.0                   | 4.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -760.0    | 2018-06-04 00:00:00.000 | -563.484227029862     | 6.0            | 2018.0      | 2018-06-04 00:00:00.000 | 2018   | 2               | 6             | 4            | 20180604  | czerwiec    | cze 2018          | Q2 2018             | 1           | poniedziałek    | 2018-06-10 00:00:00.000 | 23            | 20180600     | 20180200       | 18          | FY19 | 2018 23     | 201823              | -1511                |
| 1-2-0123-0039 | -28.8     | 2017-02-28 00:00:00.000 | -23.9942527068103     | 2.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -39.445   | 2017-01-04 00:00:00.000 | 0.0                   | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -44.863   | 2017-01-04 00:00:00.000 | 0.0                   | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
|               |           |                         |                       |                |             |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | 1245.6225 | 2017-08-03 00:00:00.000 | 0.0                   | 8.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -514.0    | 2018-07-05 00:00:00.000 | -6.33222638161346     | 7.0            | 2018.0      | 2018-07-05 00:00:00.000 | 2018   | 3               | 7             | 5            | 20180705  | lipiec      | lip 2018          | Q3 2018             | 4           | czwartek        | 2018-07-08 00:00:00.000 | 27            | 20180700     | 20180300       | 18          | FY19 | 2018 27     | 201827              | -1480                |
| 1-2-0123-0039 | 6400.0    | 2018-06-11 00:00:00.000 | 1487.06617555126      | 6.0            | 2018.0      | 2018-06-11 00:00:00.000 | 2018   | 2               | 6             | 11           | 20180611  | czerwiec    | cze 2018          | Q2 2018             | 1           | poniedziałek    | 2018-06-17 00:00:00.000 | 24            | 20180600     | 20180200       | 18          | FY19 | 2018 24     | 201824              | -1504                |
| 1-2-0123-0039 | -85.0     | 2018-05-06 00:00:00.000 | -62.7929993094355     | 5.0            | 2018.0      | 2018-05-06 00:00:00.000 | 2018   | 2               | 5             | 6            | 20180506  | maj         | maj 2018          | Q2 2018             | 7           | niedziela       | 2018-05-06 00:00:00.000 | 18            | 20180500     | 20180200       | 18          | FY19 | 2018 18     | 201818              | -1540                |
| 1-2-0123-0039 | -463.21   | 2017-08-03 00:00:00.000 | -364.508410635911     | 8.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -113.4    | 2017-01-04 00:00:00.000 | -93.2036308642194     | 1.0            | 2017.0      |                         |        |                 |               |              |           |             |                   |                     |             |                 |                         |               |              |                |             |      |             |                     |                      |
| 1-2-0123-0039 | -2310.0   | 2018-07-09 00:00:00.000 | 0.0                   | 7.0            | 2018.0      | 2018-07-09 00:00:00.000 | 2018   | 3               | 7             | 9            | 20180709  | lipiec      | lip 2018          | Q3 2018             | 1           | poniedziałek    | 2018-07-15 00:00:00.000 | 28            | 20180700     | 20180300       | 18          | FY19 | 2018 28     | 201828              | -1476                |



label: Date Physical
Date
Date Physical
Year
Date Physical
QuarterOfYear
Date Physical
MonthOfYear
Date Physical
DayOfMonth
Date Physical
DateInt
Date Physical
MonthName
Date Physical
MonthInCalendar
Date Physical
QuarterInCalendar
Date Physical
DayInWeek
Date Physical
DayOfWeekName
Date Physical
WeekEnding
Date Physical
Week Number
Date Physical
MonthnYear
Date Physical
QuarternYear
Date Physical
ShortYear
Date Physical
FY
Date Physical
Year/Week
Date Physical
Sorting Year Week
Date Physical
Dates before Today
output: {"Functional-Dependency": [["Date Physical", "Date"], ["Date Physical", "Year"], ["Date Physical", "QuarterOfYear"], ["Date Physical", "MonthOfYear"], ["Date Physical", "DayOfMonth"], ["Date Physical", "DateInt"], ["Date Physical", "MonthName"], ["Date Physical", "MonthInCalendar"], ["Date Physical", "QuarterInCalendar"], ["Date Physical", "DayInWeek"], ["Date Physical", "DayOfWeekName"], ["Date Physical", "WeekEnding"], ["Date Physical", "Week Number"], ["Date Physical", "MonthnYear"], ["Date Physical", "QuarternYear"], ["Date Physical", "ShortYear"], ["Date Physical", "FY"], ["Date Physical", "Year/Week"], ["Date Physical", "Sorting Year Week"], ["Date Physical", "Dates before Today"]]}
labeled_fds: Date Physical
Date
Date Physical
Year
Date Physical
QuarterOfYear
Date Physical
MonthOfYear
Date Physical
DayOfMonth
Date Physical
DateInt
Date Physical
MonthName
Date Physical
MonthInCalendar
Date Physical
QuarterInCalendar
Date Physical
DayInWeek
Date Physical
DayOfWeekName
Date Physical
WeekEnding
Date Physical
Week Number
Date Physical
MonthnYear
Date Physical
QuarternYear
Date Physical
ShortYear
Date Physical
FY
Date Physical
Year/Week
Date Physical
Sorting Year Week
Date Physical
Dates before Today
QTY
QuarterOfYear
Inventory Value EUR
ShortYear
Month number
Year
Month number
MonthInCalendar
QuarterOfYear
ShortYear
MonthOfYear
Year
DayOfMonth
Year_many
DayOfMonth
Year
DayOfMonth
ShortYear
DayOfMonth
FY
MonthName
QuarterInCalendar
Week Number
Year_many
Week Number
QuarterInCalendar
Week Number
WeekEnding
Week Number
ShortYear
Week Number
Year/Week
Week Number
Sorting Year Week
source: $MMTU_HOME/resources/Relationship-finding/FD/152920440