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:
| Type        | Date Ordered            | Date                    |   Year |   QuarterOfYear |   MonthOfYear |   DayOfMonth |   DateInt | MonthName   | Month and Year   | QuarterInCalendar   |   DayInWeek | DayOfWeekName   | WeekEnding              |   Week Number |   MonthnYear |   QuarternYear |   ShortYear | FY   |
|:------------|:------------------------|:------------------------|-------:|----------------:|--------------:|-------------:|----------:|:------------|:-----------------|:--------------------|------------:|:----------------|:------------------------|--------------:|-------------:|---------------:|------------:|:-----|
| Sales Order | 2021-09-17 00:00:00.000 | 2021-09-17 00:00:00.000 |   2021 |               3 |             9 |           17 |  20210917 | September   | Sep 2021         | Q3 2021             |           5 | Friday          | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-27 00:00:00.000 | 2021-09-27 00:00:00.000 |   2021 |               3 |             9 |           27 |  20210927 | September   | Sep 2021         | Q3 2021             |           1 | Monday          | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-30 00:00:00.000 | 2021-09-30 00:00:00.000 |   2021 |               3 |             9 |           30 |  20210930 | September   | Sep 2021         | Q3 2021             |           4 | Thursday        | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-14 00:00:00.000 | 2021-09-14 00:00:00.000 |   2021 |               3 |             9 |           14 |  20210914 | September   | Sep 2021         | Q3 2021             |           2 | Tuesday         | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-30 00:00:00.000 | 2021-09-30 00:00:00.000 |   2021 |               3 |             9 |           30 |  20210930 | September   | Sep 2021         | Q3 2021             |           4 | Thursday        | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-27 00:00:00.000 | 2021-09-27 00:00:00.000 |   2021 |               3 |             9 |           27 |  20210927 | September   | Sep 2021         | Q3 2021             |           1 | Monday          | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-14 00:00:00.000 | 2021-09-14 00:00:00.000 |   2021 |               3 |             9 |           14 |  20210914 | September   | Sep 2021         | Q3 2021             |           2 | Tuesday         | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-10-06 00:00:00.000 | 2021-10-06 00:00:00.000 |   2021 |               4 |            10 |            6 |  20211006 | October     | Oct 2021         | Q4 2021             |           3 | Wednesday       | 2021-10-09 00:00:00.000 |            41 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-17 00:00:00.000 | 2021-09-17 00:00:00.000 |   2021 |               3 |             9 |           17 |  20210917 | September   | Sep 2021         | Q3 2021             |           5 | Friday          | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-14 00:00:00.000 | 2021-09-14 00:00:00.000 |   2021 |               3 |             9 |           14 |  20210914 | September   | Sep 2021         | Q3 2021             |           2 | Tuesday         | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-11-26 00:00:00.000 | 2021-11-26 00:00:00.000 |   2021 |               4 |            11 |           26 |  20211126 | November    | Nov 2021         | Q4 2021             |           5 | Friday          | 2021-11-27 00:00:00.000 |            48 |     20211100 |       20210400 |          21 | FY22 |
| Sales Order | 2021-10-01 00:00:00.000 | 2021-10-01 00:00:00.000 |   2021 |               4 |            10 |            1 |  20211001 | October     | Oct 2021         | Q4 2021             |           5 | Friday          | 2021-10-02 00:00:00.000 |            40 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-30 00:00:00.000 | 2021-09-30 00:00:00.000 |   2021 |               3 |             9 |           30 |  20210930 | September   | Sep 2021         | Q3 2021             |           4 | Thursday        | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-10-01 00:00:00.000 | 2021-10-01 00:00:00.000 |   2021 |               4 |            10 |            1 |  20211001 | October     | Oct 2021         | Q4 2021             |           5 | Friday          | 2021-10-02 00:00:00.000 |            40 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-17 00:00:00.000 | 2021-09-17 00:00:00.000 |   2021 |               3 |             9 |           17 |  20210917 | September   | Sep 2021         | Q3 2021             |           5 | Friday          | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-15 00:00:00.000 | 2021-09-15 00:00:00.000 |   2021 |               3 |             9 |           15 |  20210915 | September   | Sep 2021         | Q3 2021             |           3 | Wednesday       | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-16 00:00:00.000 | 2021-09-16 00:00:00.000 |   2021 |               3 |             9 |           16 |  20210916 | September   | Sep 2021         | Q3 2021             |           4 | Thursday        | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-29 00:00:00.000 | 2021-09-29 00:00:00.000 |   2021 |               3 |             9 |           29 |  20210929 | September   | Sep 2021         | Q3 2021             |           3 | Wednesday       | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-10-01 00:00:00.000 | 2021-10-01 00:00:00.000 |   2021 |               4 |            10 |            1 |  20211001 | October     | Oct 2021         | Q4 2021             |           5 | Friday          | 2021-10-02 00:00:00.000 |            40 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-11-05 00:00:00.000 | 2021-11-05 00:00:00.000 |   2021 |               4 |            11 |            5 |  20211105 | November    | Nov 2021         | Q4 2021             |           5 | Friday          | 2021-11-06 00:00:00.000 |            45 |     20211100 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-14 00:00:00.000 | 2021-09-14 00:00:00.000 |   2021 |               3 |             9 |           14 |  20210914 | September   | Sep 2021         | Q3 2021             |           2 | Tuesday         | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-17 00:00:00.000 | 2021-09-17 00:00:00.000 |   2021 |               3 |             9 |           17 |  20210917 | September   | Sep 2021         | Q3 2021             |           5 | Friday          | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-29 00:00:00.000 | 2021-09-29 00:00:00.000 |   2021 |               3 |             9 |           29 |  20210929 | September   | Sep 2021         | Q3 2021             |           3 | Wednesday       | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-24 00:00:00.000 | 2021-09-24 00:00:00.000 |   2021 |               3 |             9 |           24 |  20210924 | September   | Sep 2021         | Q3 2021             |           5 | Friday          | 2021-09-25 00:00:00.000 |            39 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-10-14 00:00:00.000 | 2021-10-14 00:00:00.000 |   2021 |               4 |            10 |           14 |  20211014 | October     | Oct 2021         | Q4 2021             |           4 | Thursday        | 2021-10-16 00:00:00.000 |            42 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-10-06 00:00:00.000 | 2021-10-06 00:00:00.000 |   2021 |               4 |            10 |            6 |  20211006 | October     | Oct 2021         | Q4 2021             |           3 | Wednesday       | 2021-10-09 00:00:00.000 |            41 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-30 00:00:00.000 | 2021-09-30 00:00:00.000 |   2021 |               3 |             9 |           30 |  20210930 | September   | Sep 2021         | Q3 2021             |           4 | Thursday        | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-15 00:00:00.000 | 2021-09-15 00:00:00.000 |   2021 |               3 |             9 |           15 |  20210915 | September   | Sep 2021         | Q3 2021             |           3 | Wednesday       | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-27 00:00:00.000 | 2021-09-27 00:00:00.000 |   2021 |               3 |             9 |           27 |  20210927 | September   | Sep 2021         | Q3 2021             |           1 | Monday          | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-17 00:00:00.000 | 2021-09-17 00:00:00.000 |   2021 |               3 |             9 |           17 |  20210917 | September   | Sep 2021         | Q3 2021             |           5 | Friday          | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-10-15 00:00:00.000 | 2021-10-15 00:00:00.000 |   2021 |               4 |            10 |           15 |  20211015 | October     | Oct 2021         | Q4 2021             |           5 | Friday          | 2021-10-16 00:00:00.000 |            42 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-30 00:00:00.000 | 2021-09-30 00:00:00.000 |   2021 |               3 |             9 |           30 |  20210930 | September   | Sep 2021         | Q3 2021             |           4 | Thursday        | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-30 00:00:00.000 | 2021-09-30 00:00:00.000 |   2021 |               3 |             9 |           30 |  20210930 | September   | Sep 2021         | Q3 2021             |           4 | Thursday        | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-10-11 00:00:00.000 | 2021-10-11 00:00:00.000 |   2021 |               4 |            10 |           11 |  20211011 | October     | Oct 2021         | Q4 2021             |           1 | Monday          | 2021-10-16 00:00:00.000 |            42 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-22 00:00:00.000 | 2021-09-22 00:00:00.000 |   2021 |               3 |             9 |           22 |  20210922 | September   | Sep 2021         | Q3 2021             |           3 | Wednesday       | 2021-09-25 00:00:00.000 |            39 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-14 00:00:00.000 | 2021-09-14 00:00:00.000 |   2021 |               3 |             9 |           14 |  20210914 | September   | Sep 2021         | Q3 2021             |           2 | Tuesday         | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-10-11 00:00:00.000 | 2021-10-11 00:00:00.000 |   2021 |               4 |            10 |           11 |  20211011 | October     | Oct 2021         | Q4 2021             |           1 | Monday          | 2021-10-16 00:00:00.000 |            42 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-10-30 00:00:00.000 | 2021-10-30 00:00:00.000 |   2021 |               4 |            10 |           30 |  20211030 | October     | Oct 2021         | Q4 2021             |           6 | Saturday        | 2021-10-30 00:00:00.000 |            44 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-15 00:00:00.000 | 2021-09-15 00:00:00.000 |   2021 |               3 |             9 |           15 |  20210915 | September   | Sep 2021         | Q3 2021             |           3 | Wednesday       | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-14 00:00:00.000 | 2021-09-14 00:00:00.000 |   2021 |               3 |             9 |           14 |  20210914 | September   | Sep 2021         | Q3 2021             |           2 | Tuesday         | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-17 00:00:00.000 | 2021-09-17 00:00:00.000 |   2021 |               3 |             9 |           17 |  20210917 | September   | Sep 2021         | Q3 2021             |           5 | Friday          | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-10-15 00:00:00.000 | 2021-10-15 00:00:00.000 |   2021 |               4 |            10 |           15 |  20211015 | October     | Oct 2021         | Q4 2021             |           5 | Friday          | 2021-10-16 00:00:00.000 |            42 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-10-11 00:00:00.000 | 2021-10-11 00:00:00.000 |   2021 |               4 |            10 |           11 |  20211011 | October     | Oct 2021         | Q4 2021             |           1 | Monday          | 2021-10-16 00:00:00.000 |            42 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-17 00:00:00.000 | 2021-09-17 00:00:00.000 |   2021 |               3 |             9 |           17 |  20210917 | September   | Sep 2021         | Q3 2021             |           5 | Friday          | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-18 00:00:00.000 | 2021-09-18 00:00:00.000 |   2021 |               3 |             9 |           18 |  20210918 | September   | Sep 2021         | Q3 2021             |           6 | Saturday        | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-10-01 00:00:00.000 | 2021-10-01 00:00:00.000 |   2021 |               4 |            10 |            1 |  20211001 | October     | Oct 2021         | Q4 2021             |           5 | Friday          | 2021-10-02 00:00:00.000 |            40 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-10-30 00:00:00.000 | 2021-10-30 00:00:00.000 |   2021 |               4 |            10 |           30 |  20211030 | October     | Oct 2021         | Q4 2021             |           6 | Saturday        | 2021-10-30 00:00:00.000 |            44 |     20211000 |       20210400 |          21 | FY22 |
| Sales Order | 2021-09-14 00:00:00.000 | 2021-09-14 00:00:00.000 |   2021 |               3 |             9 |           14 |  20210914 | September   | Sep 2021         | Q3 2021             |           2 | Tuesday         | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-27 00:00:00.000 | 2021-09-27 00:00:00.000 |   2021 |               3 |             9 |           27 |  20210927 | September   | Sep 2021         | Q3 2021             |           1 | Monday          | 2021-10-02 00:00:00.000 |            40 |     20210900 |       20210300 |          21 | FY22 |
| Sales Order | 2021-09-16 00:00:00.000 | 2021-09-16 00:00:00.000 |   2021 |               3 |             9 |           16 |  20210916 | September   | Sep 2021         | Q3 2021             |           4 | Thursday        | 2021-09-18 00:00:00.000 |            38 |     20210900 |       20210300 |          21 | FY22 |



label: Date Ordered
Date
Date Ordered
Year
Date Ordered
QuarterOfYear
Date Ordered
MonthOfYear
Date Ordered
DayOfMonth
Date Ordered
DateInt
Date Ordered
MonthName
Date Ordered
Month and Year
Date Ordered
QuarterInCalendar
Date Ordered
DayInWeek
Date Ordered
DayOfWeekName
Date Ordered
WeekEnding
Date Ordered
Week Number
Date Ordered
MonthnYear
Date Ordered
QuarternYear
Date Ordered
ShortYear
Date Ordered
FY
output: {"Functional-Dependency": [["Date Ordered", "Date"], ["Date Ordered", "Year"], ["Date Ordered", "QuarterOfYear"], ["Date Ordered", "MonthOfYear"], ["Date Ordered", "DayOfMonth"], ["Date Ordered", "DateInt"], ["Date Ordered", "MonthName"], ["Date Ordered", "Month and Year"], ["Date Ordered", "QuarterInCalendar"], ["Date Ordered", "DayInWeek"], ["Date Ordered", "DayOfWeekName"], ["Date Ordered", "WeekEnding"], ["Date Ordered", "Week Number"], ["Date Ordered", "MonthnYear"], ["Date Ordered", "QuarternYear"], ["Date Ordered", "ShortYear"], ["Date Ordered", "FY"]]}
labeled_fds: Date Ordered
Date
Date Ordered
Year
Date Ordered
QuarterOfYear
Date Ordered
MonthOfYear
Date Ordered
DayOfMonth
Date Ordered
DateInt
Date Ordered
MonthName
Date Ordered
Month and Year
Date Ordered
QuarterInCalendar
Date Ordered
DayInWeek
Date Ordered
DayOfWeekName
Date Ordered
WeekEnding
Date Ordered
Week Number
Date Ordered
MonthnYear
Date Ordered
QuarternYear
Date Ordered
ShortYear
Date Ordered
FY
WeekEnding
QuarterOfYear
WeekEnding
QuarterInCalendar
Week Number
MonthOfYear
source: $MMTU_HOME/resources/Relationship-finding/FD/110577275