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:
| Date                    |   Value |   Percent |   DateAsInteger |   Year |   Monthnumber | YearMonthnumber   | YearMonthShort   | MonthNameShort   | MonthNameLong   |   DayOfWeekNumber | DayOfWeek   | DayOfWeekShort   | Quarter   | YearQuarter   | WeekNum     |
|:------------------------|--------:|----------:|----------------:|-------:|--------------:|:------------------|:-----------------|:-----------------|:----------------|------------------:|:------------|:-----------------|:----------|:--------------|:------------|
| 2017-06-21 00:00:00.000 |    7006 |      0.82 |        20170621 |   2017 |             6 | 2017/06           | 2017/06-Jun      | Jun              | June            |                 4 | 4-Wednesday | 4-Wed            | Q2        | 2017/Q2       | 25-2017/Jun |
| 2017-07-01 00:00:00.000 |    6431 |      0.13 |        20170701 |   2017 |             7 | 2017/07           | 2017/07-Jul      | Jul              | July            |                 7 | 7-Saturday  | 7-Sat            | Q3        | 2017/Q3       | 26-2017/Jul |
| 2017-11-06 00:00:00.000 |     498 |      1    |        20171106 |   2017 |            11 | 2017/11           | 2017/11-Nov      | Nov              | November        |                 2 | 2-Monday    | 2-Mon            | Q4        | 2017/Q4       | 45-2017/Nov |
| 2017-04-05 00:00:00.000 |    4165 |      0.42 |        20170405 |   2017 |             4 | 2017/04           | 2017/04-Apr      | Apr              | April           |                 4 | 4-Wednesday | 4-Wed            | Q2        | 2017/Q2       | 14-2017/Apr |
| 2016-02-28 00:00:00.000 |    1578 |      0.36 |        20160228 |   2016 |             2 | 2016/02           | 2016/02-Feb      | Feb              | February        |                 1 | 1-Sunday    | 1-Sun            | Q1        | 2016/Q1       | 10-2016/Feb |
| 2017-04-23 00:00:00.000 |    9793 |      0.77 |        20170423 |   2017 |             4 | 2017/04           | 2017/04-Apr      | Apr              | April           |                 1 | 1-Sunday    | 1-Sun            | Q2        | 2017/Q2       | 17-2017/Apr |
| 2016-12-03 00:00:00.000 |     166 |      0.71 |        20161203 |   2016 |            12 | 2016/12           | 2016/12-Dec      | Dec              | December        |                 7 | 7-Saturday  | 7-Sat            | Q4        | 2016/Q4       | 49-2016/Dec |
| 2016-08-02 00:00:00.000 |    9664 |      0.18 |        20160802 |   2016 |             8 | 2016/08           | 2016/08-Aug      | Aug              | August          |                 3 | 3-Tuesday   | 3-Tue            | Q3        | 2016/Q3       | 32-2016/Aug |
| 2016-06-04 00:00:00.000 |     232 |      1    |        20160604 |   2016 |             6 | 2016/06           | 2016/06-Jun      | Jun              | June            |                 7 | 7-Saturday  | 7-Sat            | Q2        | 2016/Q2       | 23-2016/Jun |
| 2016-02-23 00:00:00.000 |     670 |      0.99 |        20160223 |   2016 |             2 | 2016/02           | 2016/02-Feb      | Feb              | February        |                 3 | 3-Tuesday   | 3-Tue            | Q1        | 2016/Q1       | 09-2016/Feb |
| 2017-03-19 00:00:00.000 |    6767 |      0.08 |        20170319 |   2017 |             3 | 2017/03           | 2017/03-Mar      | Mar              | March           |                 1 | 1-Sunday    | 1-Sun            | Q1        | 2017/Q1       | 12-2017/Mar |
| 2017-04-19 00:00:00.000 |    9380 |      0.83 |        20170419 |   2017 |             4 | 2017/04           | 2017/04-Apr      | Apr              | April           |                 4 | 4-Wednesday | 4-Wed            | Q2        | 2017/Q2       | 16-2017/Apr |
| 2017-06-09 00:00:00.000 |    2243 |      0.85 |        20170609 |   2017 |             6 | 2017/06           | 2017/06-Jun      | Jun              | June            |                 6 | 6-Friday    | 6-Fri            | Q2        | 2017/Q2       | 23-2017/Jun |
| 2016-02-27 00:00:00.000 |    4192 |      0.27 |        20160227 |   2016 |             2 | 2016/02           | 2016/02-Feb      | Feb              | February        |                 7 | 7-Saturday  | 7-Sat            | Q1        | 2016/Q1       | 09-2016/Feb |
| 2016-04-08 00:00:00.000 |    9381 |      0.67 |        20160408 |   2016 |             4 | 2016/04           | 2016/04-Apr      | Apr              | April           |                 6 | 6-Friday    | 6-Fri            | Q2        | 2016/Q2       | 15-2016/Apr |
| 2016-09-22 00:00:00.000 |    1547 |      1    |        20160922 |   2016 |             9 | 2016/09           | 2016/09-Sep      | Sep              | September       |                 5 | 5-Thursday  | 5-Thu            | Q3        | 2016/Q3       | 39-2016/Sep |
| 2017-11-05 00:00:00.000 |    4738 |      0.81 |        20171105 |   2017 |            11 | 2017/11           | 2017/11-Nov      | Nov              | November        |                 1 | 1-Sunday    | 1-Sun            | Q4        | 2017/Q4       | 45-2017/Nov |
| 2017-09-21 00:00:00.000 |    5847 |      0.24 |        20170921 |   2017 |             9 | 2017/09           | 2017/09-Sep      | Sep              | September       |                 5 | 5-Thursday  | 5-Thu            | Q3        | 2017/Q3       | 38-2017/Sep |
| 2017-07-28 00:00:00.000 |    8361 |      0.47 |        20170728 |   2017 |             7 | 2017/07           | 2017/07-Jul      | Jul              | July            |                 6 | 6-Friday    | 6-Fri            | Q3        | 2017/Q3       | 30-2017/Jul |
| 2016-12-16 00:00:00.000 |    1699 |      0.78 |        20161216 |   2016 |            12 | 2016/12           | 2016/12-Dec      | Dec              | December        |                 6 | 6-Friday    | 6-Fri            | Q4        | 2016/Q4       | 51-2016/Dec |
| 2017-01-15 00:00:00.000 |    4148 |      0.06 |        20170115 |   2017 |             1 | 2017/01           | 2017/01-Jan      | Jan              | January         |                 1 | 1-Sunday    | 1-Sun            | Q1        | 2017/Q1       | 03-2017/Jan |
| 2016-06-15 00:00:00.000 |    6793 |      0.18 |        20160615 |   2016 |             6 | 2016/06           | 2016/06-Jun      | Jun              | June            |                 4 | 4-Wednesday | 4-Wed            | Q2        | 2016/Q2       | 25-2016/Jun |
| 2016-04-12 00:00:00.000 |    8570 |      0.94 |        20160412 |   2016 |             4 | 2016/04           | 2016/04-Apr      | Apr              | April           |                 3 | 3-Tuesday   | 3-Tue            | Q2        | 2016/Q2       | 16-2016/Apr |
| 2016-03-14 00:00:00.000 |    7579 |      0.63 |        20160314 |   2016 |             3 | 2016/03           | 2016/03-Mar      | Mar              | March           |                 2 | 2-Monday    | 2-Mon            | Q1        | 2016/Q1       | 12-2016/Mar |
| 2016-11-23 00:00:00.000 |    7533 |      0.31 |        20161123 |   2016 |            11 | 2016/11           | 2016/11-Nov      | Nov              | November        |                 4 | 4-Wednesday | 4-Wed            | Q4        | 2016/Q4       | 48-2016/Nov |
| 2017-07-19 00:00:00.000 |    5422 |      0.56 |        20170719 |   2017 |             7 | 2017/07           | 2017/07-Jul      | Jul              | July            |                 4 | 4-Wednesday | 4-Wed            | Q3        | 2017/Q3       | 29-2017/Jul |
| 2017-07-30 00:00:00.000 |    5462 |      0.89 |        20170730 |   2017 |             7 | 2017/07           | 2017/07-Jul      | Jul              | July            |                 1 | 1-Sunday    | 1-Sun            | Q3        | 2017/Q3       | 31-2017/Jul |
| 2016-07-31 00:00:00.000 |    4313 |      0.02 |        20160731 |   2016 |             7 | 2016/07           | 2016/07-Jul      | Jul              | July            |                 1 | 1-Sunday    | 1-Sun            | Q3        | 2016/Q3       | 32-2016/Jul |
| 2016-02-03 00:00:00.000 |     425 |      0.37 |        20160203 |   2016 |             2 | 2016/02           | 2016/02-Feb      | Feb              | February        |                 4 | 4-Wednesday | 4-Wed            | Q1        | 2016/Q1       | 06-2016/Feb |
| 2016-07-27 00:00:00.000 |    7498 |      0.41 |        20160727 |   2016 |             7 | 2016/07           | 2016/07-Jul      | Jul              | July            |                 4 | 4-Wednesday | 4-Wed            | Q3        | 2016/Q3       | 31-2016/Jul |
| 2016-05-22 00:00:00.000 |    1568 |      0.97 |        20160522 |   2016 |             5 | 2016/05           | 2016/05-May      | May              | May             |                 1 | 1-Sunday    | 1-Sun            | Q2        | 2016/Q2       | 22-2016/May |
| 2017-03-21 00:00:00.000 |    2758 |      0.3  |        20170321 |   2017 |             3 | 2017/03           | 2017/03-Mar      | Mar              | March           |                 3 | 3-Tuesday   | 3-Tue            | Q1        | 2017/Q1       | 12-2017/Mar |
| 2017-06-28 00:00:00.000 |    8901 |      0.06 |        20170628 |   2017 |             6 | 2017/06           | 2017/06-Jun      | Jun              | June            |                 4 | 4-Wednesday | 4-Wed            | Q2        | 2017/Q2       | 26-2017/Jun |
| 2016-05-24 00:00:00.000 |    1513 |      0.13 |        20160524 |   2016 |             5 | 2016/05           | 2016/05-May      | May              | May             |                 3 | 3-Tuesday   | 3-Tue            | Q2        | 2016/Q2       | 22-2016/May |
| 2016-08-23 00:00:00.000 |    3362 |      0.56 |        20160823 |   2016 |             8 | 2016/08           | 2016/08-Aug      | Aug              | August          |                 3 | 3-Tuesday   | 3-Tue            | Q3        | 2016/Q3       | 35-2016/Aug |
| 2017-04-30 00:00:00.000 |    7686 |      0.73 |        20170430 |   2017 |             4 | 2017/04           | 2017/04-Apr      | Apr              | April           |                 1 | 1-Sunday    | 1-Sun            | Q2        | 2017/Q2       | 18-2017/Apr |
| 2016-11-11 00:00:00.000 |    1328 |      0.36 |        20161111 |   2016 |            11 | 2016/11           | 2016/11-Nov      | Nov              | November        |                 6 | 6-Friday    | 6-Fri            | Q4        | 2016/Q4       | 46-2016/Nov |
| 2017-08-11 00:00:00.000 |    2316 |      0.96 |        20170811 |   2017 |             8 | 2017/08           | 2017/08-Aug      | Aug              | August          |                 6 | 6-Friday    | 6-Fri            | Q3        | 2017/Q3       | 32-2017/Aug |
| 2016-02-15 00:00:00.000 |    8012 |      0.54 |        20160215 |   2016 |             2 | 2016/02           | 2016/02-Feb      | Feb              | February        |                 2 | 2-Monday    | 2-Mon            | Q1        | 2016/Q1       | 08-2016/Feb |
| 2016-04-19 00:00:00.000 |    4428 |      0.01 |        20160419 |   2016 |             4 | 2016/04           | 2016/04-Apr      | Apr              | April           |                 3 | 3-Tuesday   | 3-Tue            | Q2        | 2016/Q2       | 17-2016/Apr |
| 2016-05-19 00:00:00.000 |    5242 |      0.63 |        20160519 |   2016 |             5 | 2016/05           | 2016/05-May      | May              | May             |                 5 | 5-Thursday  | 5-Thu            | Q2        | 2016/Q2       | 21-2016/May |
| 2016-12-05 00:00:00.000 |    8713 |      0.9  |        20161205 |   2016 |            12 | 2016/12           | 2016/12-Dec      | Dec              | December        |                 2 | 2-Monday    | 2-Mon            | Q4        | 2016/Q4       | 50-2016/Dec |
| 2017-12-06 00:00:00.000 |    5642 |      0.31 |        20171206 |   2017 |            12 | 2017/12           | 2017/12-Dec      | Dec              | December        |                 4 | 4-Wednesday | 4-Wed            | Q4        | 2017/Q4       | 49-2017/Dec |
| 2016-07-18 00:00:00.000 |    5180 |      0.61 |        20160718 |   2016 |             7 | 2016/07           | 2016/07-Jul      | Jul              | July            |                 2 | 2-Monday    | 2-Mon            | Q3        | 2016/Q3       | 30-2016/Jul |
| 2016-02-03 00:00:00.000 |    4560 |      0.19 |        20160203 |   2016 |             2 | 2016/02           | 2016/02-Feb      | Feb              | February        |                 4 | 4-Wednesday | 4-Wed            | Q1        | 2016/Q1       | 06-2016/Feb |
| 2016-07-04 00:00:00.000 |    6922 |      0.23 |        20160704 |   2016 |             7 | 2016/07           | 2016/07-Jul      | Jul              | July            |                 2 | 2-Monday    | 2-Mon            | Q3        | 2016/Q3       | 28-2016/Jul |
| 2016-01-14 00:00:00.000 |    7961 |      0.44 |        20160114 |   2016 |             1 | 2016/01           | 2016/01-Jan      | Jan              | January         |                 5 | 5-Thursday  | 5-Thu            | Q1        | 2016/Q1       | 03-2016/Jan |
| 2016-10-18 00:00:00.000 |    4293 |      0.9  |        20161018 |   2016 |            10 | 2016/10           | 2016/10-Oct      | Oct              | October         |                 3 | 3-Tuesday   | 3-Tue            | Q4        | 2016/Q4       | 43-2016/Oct |
| 2016-05-30 00:00:00.000 |    6212 |      0.18 |        20160530 |   2016 |             5 | 2016/05           | 2016/05-May      | May              | May             |                 2 | 2-Monday    | 2-Mon            | Q2        | 2016/Q2       | 23-2016/May |
| 2016-04-08 00:00:00.000 |    5531 |      0.13 |        20160408 |   2016 |             4 | 2016/04           | 2016/04-Apr      | Apr              | April           |                 6 | 6-Friday    | 6-Fri            | Q2        | 2016/Q2       | 15-2016/Apr |



label: Date
DateAsInteger
Date
Year
Date
Monthnumber
Date
YearMonthnumber
Date
YearMonthShort
Date
MonthNameShort
Date
MonthNameLong
Date
DayOfWeekNumber
Date
DayOfWeek
Date
DayOfWeekShort
Date
Quarter
Date
YearQuarter
Date
WeekNum
output: {"Functional-Dependency": [["Date", "DateAsInteger"], ["Date", "Year"], ["Date", "Monthnumber"], ["Date", "YearMonthnumber"], ["Date", "YearMonthShort"], ["Date", "MonthNameShort"], ["Date", "MonthNameLong"], ["Date", "DayOfWeekNumber"], ["Date", "DayOfWeek"], ["Date", "DayOfWeekShort"], ["Date", "Quarter"], ["Date", "YearQuarter"], ["Date", "WeekNum"]]}
labeled_fds: Date
DateAsInteger
Date
Year
Date
Monthnumber
Date
YearMonthnumber
Date
YearMonthShort
Date
MonthNameShort
Date
MonthNameLong
Date
DayOfWeekNumber
Date
DayOfWeek
Date
DayOfWeekShort
Date
Quarter
Date
YearQuarter
Date
WeekNum
Value
Percent
Value
DateAsInteger
Value
Year
Value
MonthNameLong
Value
DayOfWeekNumber
Value
DayOfWeekShort
Value
Quarter
Value
YearQuarter
source: $MMTU_HOME/resources/Relationship-finding/FD/280279135