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:
|   TitleID | Wk Ending               |   Plan | Date                    |   MonthNum | Month   | MonthLong   | Quarter   |   Year |   MonthYearNum | MonthYear   | MonthYearLong   | WeekDate                |   Week of Year |   Day of Year | Week Ending             | Week       |   Week Rank |
|----------:|:------------------------|-------:|:------------------------|-----------:|:--------|:------------|:----------|-------:|---------------:|:------------|:----------------|:------------------------|---------------:|--------------:|:------------------------|:-----------|------------:|
|     32084 | 2018-02-04 00:00:00.000 |  32680 | 2018-02-04 00:00:00.000 |          2 | Feb     | February    | Q1        |   2018 |         201802 | Feb-18      | Feb-2018        | 2018-02-04 00:00:00.000 |              6 |            35 | 2018-02-04 00:00:00.000 | 2018 Wk 6  |          59 |
|    200907 | 2018-12-16 00:00:00.000 |  19176 | 2018-12-16 00:00:00.000 |         12 | Dec     | December    | Q4        |   2018 |         201812 | Dec-18      | Dec-2018        | 2018-12-16 00:00:00.000 |             51 |           350 | 2018-12-16 00:00:00.000 | 2018 Wk 51 |         104 |
|     31923 | 2017-11-19 00:00:00.000 |   1942 | 2017-11-19 00:00:00.000 |         11 | Nov     | November    | Q4        |   2017 |         201711 | Nov-17      | Nov-2017        | 2017-11-19 00:00:00.000 |             47 |           323 | 2017-11-19 00:00:00.000 | 2017 Wk 47 |          48 |
|     31466 | 2018-12-02 00:00:00.000 |  22631 | 2018-12-02 00:00:00.000 |         12 | Dec     | December    | Q4        |   2018 |         201812 | Dec-18      | Dec-2018        | 2018-12-02 00:00:00.000 |             49 |           336 | 2018-12-02 00:00:00.000 | 2018 Wk 49 |         102 |
|    200897 | 2019-06-23 00:00:00.000 |  39663 | 2019-06-23 00:00:00.000 |          6 | Jun     | June        | Q2        |   2019 |         201906 | Jun-19      | Jun-2019        | 2019-06-23 00:00:00.000 |             26 |           174 | 2019-06-23 00:00:00.000 | 2019 Wk 26 |         131 |
|     32121 | 2018-04-29 00:00:00.000 |  52179 | 2018-04-29 00:00:00.000 |          4 | Apr     | April       | Q2        |   2018 |         201804 | Apr-18      | Apr-2018        | 2018-04-29 00:00:00.000 |             18 |           119 | 2018-04-29 00:00:00.000 | 2018 Wk 18 |          71 |
|    194826 | 2018-01-07 00:00:00.000 |   1064 | 2018-01-07 00:00:00.000 |          1 | Jan     | January     | Q1        |   2018 |         201801 | Jan-18      | Jan-2018        | 2018-01-07 00:00:00.000 |              2 |             7 | 2018-01-07 00:00:00.000 | 2018 Wk 2  |          55 |
|     32249 | 2019-05-26 00:00:00.000 |  13772 | 2019-05-26 00:00:00.000 |          5 | May     | May         | Q2        |   2019 |         201905 | May-19      | May-2019        | 2019-05-26 00:00:00.000 |             22 |           146 | 2019-05-26 00:00:00.000 | 2019 Wk 22 |         127 |
|    164685 | 2017-11-26 00:00:00.000 |  32062 | 2017-11-26 00:00:00.000 |         11 | Nov     | November    | Q4        |   2017 |         201711 | Nov-17      | Nov-2017        | 2017-11-26 00:00:00.000 |             48 |           330 | 2017-11-26 00:00:00.000 | 2017 Wk 48 |          49 |
|    194836 | 2018-08-05 00:00:00.000 |  95345 | 2018-08-05 00:00:00.000 |          8 | Aug     | August      | Q3        |   2018 |         201808 | Aug-18      | Aug-2018        | 2018-08-05 00:00:00.000 |             32 |           217 | 2018-08-05 00:00:00.000 | 2018 Wk 32 |          85 |
|     22480 | 2019-03-03 00:00:00.000 |  11345 | 2019-03-03 00:00:00.000 |          3 | Mar     | March       | Q1        |   2019 |         201903 | Mar-19      | Mar-2019        | 2019-03-03 00:00:00.000 |             10 |            62 | 2019-03-03 00:00:00.000 | 2019 Wk 10 |         115 |
|     31843 | 2018-04-15 00:00:00.000 | 170925 | 2018-04-15 00:00:00.000 |          4 | Apr     | April       | Q2        |   2018 |         201804 | Apr-18      | Apr-2018        | 2018-04-15 00:00:00.000 |             16 |           105 | 2018-04-15 00:00:00.000 | 2018 Wk 16 |          69 |
|    177302 | 2018-01-14 00:00:00.000 | 185935 | 2018-01-14 00:00:00.000 |          1 | Jan     | January     | Q1        |   2018 |         201801 | Jan-18      | Jan-2018        | 2018-01-14 00:00:00.000 |              3 |            14 | 2018-01-14 00:00:00.000 | 2018 Wk 3  |          56 |
|     31631 | 2017-03-26 00:00:00.000 | 446939 | 2017-03-26 00:00:00.000 |          3 | Mar     | March       | Q1        |   2017 |         201703 | Mar-17      | Mar-2017        | 2017-03-26 00:00:00.000 |             13 |            85 | 2017-03-26 00:00:00.000 | 2017 Wk 13 |          14 |
|     32249 | 2019-04-21 00:00:00.000 |  34959 | 2019-04-21 00:00:00.000 |          4 | Apr     | April       | Q2        |   2019 |         201904 | Apr-19      | Apr-2019        | 2019-04-21 00:00:00.000 |             17 |           111 | 2019-04-21 00:00:00.000 | 2019 Wk 17 |         122 |
|     32398 | 2020-04-05 00:00:00.000 |  33637 | 2020-04-05 00:00:00.000 |          4 | Apr     | April       | Q2        |   2020 |         202004 | Apr-20      | Apr-2020        | 2020-04-05 00:00:00.000 |             15 |            96 | 2020-04-05 00:00:00.000 | 2020 Wk 15 |         172 |
|    195509 | 2019-02-24 00:00:00.000 |  29636 | 2019-02-24 00:00:00.000 |          2 | Feb     | February    | Q1        |   2019 |         201902 | Feb-19      | Feb-2019        | 2019-02-24 00:00:00.000 |              9 |            55 | 2019-02-24 00:00:00.000 | 2019 Wk 9  |         114 |
|    194837 | 2018-01-21 00:00:00.000 |   1947 | 2018-01-21 00:00:00.000 |          1 | Jan     | January     | Q1        |   2018 |         201801 | Jan-18      | Jan-2018        | 2018-01-21 00:00:00.000 |              4 |            21 | 2018-01-21 00:00:00.000 | 2018 Wk 4  |          57 |
|     31957 | 2017-10-29 00:00:00.000 |  26552 | 2017-10-29 00:00:00.000 |         10 | Oct     | October     | Q4        |   2017 |         201710 | Oct-17      | Oct-2017        | 2017-10-29 00:00:00.000 |             44 |           302 | 2017-10-29 00:00:00.000 | 2017 Wk 44 |          45 |
|     32399 | 2020-03-08 00:00:00.000 |  26392 | 2020-03-08 00:00:00.000 |          3 | Mar     | March       | Q1        |   2020 |         202003 | Mar-20      | Mar-2020        | 2020-03-08 00:00:00.000 |             11 |            68 | 2020-03-08 00:00:00.000 | 2020 Wk 11 |         168 |
|     32272 | 2019-12-29 00:00:00.000 |  43859 | 2019-12-29 00:00:00.000 |         12 | Dec     | December    | Q4        |   2019 |         201912 | Dec-19      | Dec-2019        | 2019-12-29 00:00:00.000 |             53 |           363 | 2019-12-29 00:00:00.000 | 2019 Wk 53 |         158 |
|     32398 | 2020-04-12 00:00:00.000 |  32647 | 2020-04-12 00:00:00.000 |          4 | Apr     | April       | Q2        |   2020 |         202004 | Apr-20      | Apr-2020        | 2020-04-12 00:00:00.000 |             16 |           103 | 2020-04-12 00:00:00.000 | 2020 Wk 16 |         173 |
|    191066 | 2017-07-09 00:00:00.000 |  15413 | 2017-07-09 00:00:00.000 |          7 | Jul     | July        | Q3        |   2017 |         201707 | Jul-17      | Jul-2017        | 2017-07-09 00:00:00.000 |             28 |           190 | 2017-07-09 00:00:00.000 | 2017 Wk 28 |          29 |
|    203940 | 2019-09-29 00:00:00.000 |   8088 | 2019-09-29 00:00:00.000 |          9 | Sep     | September   | Q3        |   2019 |         201909 | Sep-19      | Sep-2019        | 2019-09-29 00:00:00.000 |             40 |           272 | 2019-09-29 00:00:00.000 | 2019 Wk 40 |         145 |
|    194776 | 2018-02-25 00:00:00.000 |  13285 | 2018-02-25 00:00:00.000 |          2 | Feb     | February    | Q1        |   2018 |         201802 | Feb-18      | Feb-2018        | 2018-02-25 00:00:00.000 |              9 |            56 | 2018-02-25 00:00:00.000 | 2018 Wk 9  |          62 |
|     31787 | 2018-09-02 00:00:00.000 |  68745 | 2018-09-02 00:00:00.000 |          9 | Sep     | September   | Q3        |   2018 |         201809 | Sep-18      | Sep-2018        | 2018-09-02 00:00:00.000 |             36 |           245 | 2018-09-02 00:00:00.000 | 2018 Wk 36 |          89 |
|    200955 | 2018-12-30 00:00:00.000 |  20924 | 2018-12-30 00:00:00.000 |         12 | Dec     | December    | Q4        |   2018 |         201812 | Dec-18      | Dec-2018        | 2018-12-30 00:00:00.000 |             53 |           364 | 2018-12-30 00:00:00.000 | 2018 Wk 53 |         106 |
|     32151 | 2019-02-17 00:00:00.000 |  95699 | 2019-02-17 00:00:00.000 |          2 | Feb     | February    | Q1        |   2019 |         201902 | Feb-19      | Feb-2019        | 2019-02-17 00:00:00.000 |              8 |            48 | 2019-02-17 00:00:00.000 | 2019 Wk 8  |         113 |
|     31124 | 2020-03-15 00:00:00.000 | 134740 | 2020-03-15 00:00:00.000 |          3 | Mar     | March       | Q1        |   2020 |         202003 | Mar-20      | Mar-2020        | 2020-03-15 00:00:00.000 |             12 |            75 | 2020-03-15 00:00:00.000 | 2020 Wk 12 |         169 |
|     32249 | 2019-05-19 00:00:00.000 |  15891 | 2019-05-19 00:00:00.000 |          5 | May     | May         | Q2        |   2019 |         201905 | May-19      | May-2019        | 2019-05-19 00:00:00.000 |             21 |           139 | 2019-05-19 00:00:00.000 | 2019 Wk 21 |         126 |
|     32064 | 2020-02-02 00:00:00.000 |   3489 | 2020-02-02 00:00:00.000 |          2 | Feb     | February    | Q1        |   2020 |         202002 | Feb-20      | Feb-2020        | 2020-02-02 00:00:00.000 |              6 |            33 | 2020-02-02 00:00:00.000 | 2020 Wk 6  |         163 |
|     31398 | 2020-05-31 00:00:00.000 |  41376 | 2020-05-31 00:00:00.000 |          5 | May     | May         | Q2        |   2020 |         202005 | May-20      | May-2020        | 2020-05-31 00:00:00.000 |             23 |           152 | 2020-05-31 00:00:00.000 | 2020 Wk 23 |         180 |
|    200955 | 2018-11-25 00:00:00.000 |  75850 | 2018-11-25 00:00:00.000 |         11 | Nov     | November    | Q4        |   2018 |         201811 | Nov-18      | Nov-2018        | 2018-11-25 00:00:00.000 |             48 |           329 | 2018-11-25 00:00:00.000 | 2018 Wk 48 |         101 |
|     32231 | 2019-09-01 00:00:00.000 |   4585 | 2019-09-01 00:00:00.000 |          9 | Sep     | September   | Q3        |   2019 |         201909 | Sep-19      | Sep-2019        | 2019-09-01 00:00:00.000 |             36 |           244 | 2019-09-01 00:00:00.000 | 2019 Wk 36 |         141 |
|     31859 | 2017-07-23 00:00:00.000 |  85638 | 2017-07-23 00:00:00.000 |          7 | Jul     | July        | Q3        |   2017 |         201707 | Jul-17      | Jul-2017        | 2017-07-23 00:00:00.000 |             30 |           204 | 2017-07-23 00:00:00.000 | 2017 Wk 30 |          31 |
|     32281 | 2019-08-25 00:00:00.000 |  45054 | 2019-08-25 00:00:00.000 |          8 | Aug     | August      | Q3        |   2019 |         201908 | Aug-19      | Aug-2019        | 2019-08-25 00:00:00.000 |             35 |           237 | 2019-08-25 00:00:00.000 | 2019 Wk 35 |         140 |
|     32151 | 2019-02-10 00:00:00.000 | 142409 | 2019-02-10 00:00:00.000 |          2 | Feb     | February    | Q1        |   2019 |         201902 | Feb-19      | Feb-2019        | 2019-02-10 00:00:00.000 |              7 |            41 | 2019-02-10 00:00:00.000 | 2019 Wk 7  |         112 |
|         2 | 2020-05-31 00:00:00.000 |  41376 | 2020-05-31 00:00:00.000 |          5 | May     | May         | Q2        |   2020 |         202005 | May-20      | May-2020        | 2020-05-31 00:00:00.000 |             23 |           152 | 2020-05-31 00:00:00.000 | 2020 Wk 23 |         180 |
|     32060 | 2020-05-24 00:00:00.000 |  47197 | 2020-05-24 00:00:00.000 |          5 | May     | May         | Q2        |   2020 |         202005 | May-20      | May-2020        | 2020-05-24 00:00:00.000 |             22 |           145 | 2020-05-24 00:00:00.000 | 2020 Wk 22 |         179 |
|    199649 | 2018-10-07 00:00:00.000 |  12145 | 2018-10-07 00:00:00.000 |         10 | Oct     | October     | Q4        |   2018 |         201810 | Oct-18      | Oct-2018        | 2018-10-07 00:00:00.000 |             41 |           280 | 2018-10-07 00:00:00.000 | 2018 Wk 41 |          94 |
|    200897 | 2019-04-21 00:00:00.000 | 220223 | 2019-04-21 00:00:00.000 |          4 | Apr     | April       | Q2        |   2019 |         201904 | Apr-19      | Apr-2019        | 2019-04-21 00:00:00.000 |             17 |           111 | 2019-04-21 00:00:00.000 | 2019 Wk 17 |         122 |
|     22500 | 2019-09-08 00:00:00.000 | 229324 | 2019-09-08 00:00:00.000 |          9 | Sep     | September   | Q3        |   2019 |         201909 | Sep-19      | Sep-2019        | 2019-09-08 00:00:00.000 |             37 |           251 | 2019-09-08 00:00:00.000 | 2019 Wk 37 |         142 |
|     31843 | 2018-03-11 00:00:00.000 | 581873 | 2018-03-11 00:00:00.000 |          3 | Mar     | March       | Q1        |   2018 |         201803 | Mar-18      | Mar-2018        | 2018-03-11 00:00:00.000 |             11 |            70 | 2018-03-11 00:00:00.000 | 2018 Wk 11 |          64 |
|     22481 | 2019-05-05 00:00:00.000 |  30618 | 2019-05-05 00:00:00.000 |          5 | May     | May         | Q2        |   2019 |         201905 | May-19      | May-2019        | 2019-05-05 00:00:00.000 |             19 |           125 | 2019-05-05 00:00:00.000 | 2019 Wk 19 |         124 |
|    194836 | 2018-07-29 00:00:00.000 | 147199 | 2018-07-29 00:00:00.000 |          7 | Jul     | July        | Q3        |   2018 |         201807 | Jul-18      | Jul-2018        | 2018-07-29 00:00:00.000 |             31 |           210 | 2018-07-29 00:00:00.000 | 2018 Wk 31 |          84 |
|     31366 | 2018-02-18 00:00:00.000 |  85750 | 2018-02-18 00:00:00.000 |          2 | Feb     | February    | Q1        |   2018 |         201802 | Feb-18      | Feb-2018        | 2018-02-18 00:00:00.000 |              8 |            49 | 2018-02-18 00:00:00.000 | 2018 Wk 8  |          61 |
|    194776 | 2018-02-18 00:00:00.000 |  16674 | 2018-02-18 00:00:00.000 |          2 | Feb     | February    | Q1        |   2018 |         201802 | Feb-18      | Feb-2018        | 2018-02-18 00:00:00.000 |              8 |            49 | 2018-02-18 00:00:00.000 | 2018 Wk 8  |          61 |
|    199649 | 2018-10-21 00:00:00.000 |  10410 | 2018-10-21 00:00:00.000 |         10 | Oct     | October     | Q4        |   2018 |         201810 | Oct-18      | Oct-2018        | 2018-10-21 00:00:00.000 |             43 |           294 | 2018-10-21 00:00:00.000 | 2018 Wk 43 |          96 |
|     22481 | 2019-04-28 00:00:00.000 |  40144 | 2019-04-28 00:00:00.000 |          4 | Apr     | April       | Q2        |   2019 |         201904 | Apr-19      | Apr-2019        | 2019-04-28 00:00:00.000 |             18 |           118 | 2019-04-28 00:00:00.000 | 2019 Wk 18 |         123 |
|     32023 | 2018-06-17 00:00:00.000 |  66441 | 2018-06-17 00:00:00.000 |          6 | Jun     | June        | Q2        |   2018 |         201806 | Jun-18      | Jun-2018        | 2018-06-17 00:00:00.000 |             25 |           168 | 2018-06-17 00:00:00.000 | 2018 Wk 25 |          78 |



label: Wk Ending
Date
Wk Ending
MonthNum
Wk Ending
Month
Wk Ending
MonthLong
Wk Ending
Quarter
Wk Ending
Year
Wk Ending
MonthYearNum
Wk Ending
MonthYear
Wk Ending
MonthYearLong
Wk Ending
WeekDate
Wk Ending
Week of Year
Wk Ending
Day of Year
Wk Ending
Week Ending
Wk Ending
Week
Wk Ending
Week Rank
output: {"Functional-Dependency": [["Wk Ending", "Date"], ["Wk Ending", "MonthNum"], ["Wk Ending", "Month"], ["Wk Ending", "MonthLong"], ["Wk Ending", "Quarter"], ["Wk Ending", "Year"], ["Wk Ending", "MonthYearNum"], ["Wk Ending", "MonthYear"], ["Wk Ending", "MonthYearLong"], ["Wk Ending", "WeekDate"], ["Wk Ending", "Week of Year"], ["Wk Ending", "Day of Year"], ["Wk Ending", "Week Ending"], ["Wk Ending", "Week"], ["Wk Ending", "Week Rank"]]}
labeled_fds: Wk Ending
Date
Wk Ending
MonthNum
Wk Ending
Month
Wk Ending
MonthLong
Wk Ending
Quarter
Wk Ending
Year
Wk Ending
MonthYearNum
Wk Ending
MonthYear
Wk Ending
MonthYearLong
Wk Ending
WeekDate
Wk Ending
Week of Year
Wk Ending
Day of Year
Wk Ending
Week Ending
Wk Ending
Week
Wk Ending
Week Rank
Plan
TitleID
Plan
Wk Ending
Plan
Date
Plan
MonthNum
Plan
Month
Plan
MonthLong
Plan
Quarter
Plan
Year
Plan
MonthYearNum
Plan
MonthYearLong
Plan
WeekDate
Plan
Week of Year
Plan
Week Ending
Plan
Week
Plan
Week Rank
WeekDate
Wk Ending
WeekDate
Date
WeekDate
MonthNum
WeekDate
Month
WeekDate
MonthLong
WeekDate
MonthYearNum
WeekDate
MonthYear
WeekDate
MonthYearLong
WeekDate
Day of Year
WeekDate
Week Rank
Week Ending
Date
Week Ending
MonthNum
Week Ending
Month
Week Ending
MonthLong
Week Ending
Quarter
Week Ending
MonthYear
Week Ending
MonthYearLong
Week Ending
WeekDate
Week Ending
Week of Year
Week
Wk Ending
Week
MonthNum
Week
Month
Week
MonthLong
Week
MonthYearNum
Week
MonthYear
Week
MonthYearLong
Week
Day of Year
Week Rank
Date
Week Rank
MonthNum
Week Rank
Month
Week Rank
MonthLong
Week Rank
Quarter
Week Rank
MonthYearNum
Week Rank
MonthYear
Week Rank
MonthYearLong
source: $MMTU_HOME/resources/Relationship-finding/FD/275042151