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:
| Referral Plan Bin              |   Client Name | State   |   Total Referrals | Date                    | State Updated   |   MonthNum | Month   | MonthLong   | Quarter   |   Year |   FiscalMonthNum | FiscalMonth   | FiscalMonthLong   | FiscalQuarter   | FiscalYear   |   CurMonthOffset |   CurQuarterOffset |   CurYearOffset | FutureDate   |   CurFiscalYearOffset |   MonthYearNum | MonthYear   | MonthYearLong   |   WeekdayNum | Weekday   | WeekdayWeekend   |   WeekSequenceNum |   CurWeekOffset | MonthLongYear   |
|:-------------------------------|--------------:|:--------|------------------:|:------------------------|:----------------|-----------:|:--------|:------------|:----------|-------:|-----------------:|:--------------|:------------------|:----------------|:-------------|-----------------:|-------------------:|----------------:|:-------------|----------------------:|---------------:|:------------|:----------------|-------------:|:----------|:-----------------|------------------:|----------------:|:----------------|
| New Payor/New States           |        224851 | FL      |                 1 | 2022-01-06 00:00:00.000 | New Logo        |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            4 | Thu       | Weekday          |               158 |              -8 | January-2022    |
| Existing Payor/Existing States |        425753 | GA      |                 1 | 2022-01-28 00:00:00.000 | GA              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            5 | Fri       | Weekday          |               161 |              -5 | January-2022    |
| Existing Payor/Existing States |        185781 | NJ      |                 3 | 2022-02-22 00:00:00.000 | NJ              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            2 | Tue       | Weekday          |               165 |              -1 | February-2022   |
| Existing Payor/Existing States |        385907 | KS      |                 1 | 2022-02-09 00:00:00.000 | KS              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            3 | Wed       | Weekday          |               163 |              -3 | February-2022   |
| Existing Payor/Existing States |        185300 | SC      |                 1 | 2022-01-19 00:00:00.000 | SC              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            3 | Wed       | Weekday          |               160 |              -6 | January-2022    |
| Existing Payor/Existing States |        175308 | FL      |                 2 | 2022-02-07 00:00:00.000 | FL              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            1 | Mon       | Weekday          |               163 |              -3 | February-2022   |
| Existing Payor/Existing States |        385267 | KY      |                 1 | 2022-02-21 00:00:00.000 | KY              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            1 | Mon       | Weekday          |               165 |              -1 | February-2022   |
| Existing Payor/Existing States |        432532 | PA      |                 2 | 2022-01-21 00:00:00.000 | PA              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            5 | Fri       | Weekday          |               160 |              -6 | January-2022    |
| Existing Payor/Existing States |        185300 | TN      |                 2 | 2022-01-17 00:00:00.000 | TN              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            1 | Mon       | Weekday          |               160 |              -6 | January-2022    |
| Existing Payor/Existing States |        335250 | VA      |                 2 | 2022-02-17 00:00:00.000 | VA              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            4 | Thu       | Weekday          |               164 |              -2 | February-2022   |
| Existing Payor/Existing States |        185781 | WI      |                 1 | 2022-01-28 00:00:00.000 | WI              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            5 | Fri       | Weekday          |               161 |              -5 | January-2022    |
| Existing Payor/Existing States |        459442 | PA      |                 1 | 2022-02-26 00:00:00.000 | PA              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            6 | Sat       | Weekend          |               165 |              -1 | February-2022   |
| Existing Payor/Existing States |        185781 | NJ      |                 1 | 2022-02-09 00:00:00.000 | NJ              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            3 | Wed       | Weekday          |               163 |              -3 | February-2022   |
| Existing Payor/Existing States |        185300 | SC      |                 3 | 2022-02-04 00:00:00.000 | SC              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            5 | Fri       | Weekday          |               162 |              -4 | February-2022   |
| Existing Payor/Existing States |        185300 | SC      |                 1 | 2022-01-11 00:00:00.000 | SC              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            2 | Tue       | Weekday          |               159 |              -7 | January-2022    |
| Existing Payor/Existing States |        335250 | TN      |                 1 | 2022-03-01 00:00:00.000 | TN              |          3 | Mar     | March       | Q1        |   2022 |                9 | Mar           | March             | FQ3             | FY22         |                0 |                  0 |               0 | Past         |                     0 |         202203 | Mar-22      | Mar-2022        |            2 | Tue       | Weekday          |               166 |               0 | March-2022      |
| Existing Payor/Existing States |        294883 | IA      |                 1 | 2022-03-01 00:00:00.000 | IA              |          3 | Mar     | March       | Q1        |   2022 |                9 | Mar           | March             | FQ3             | FY22         |                0 |                  0 |               0 | Past         |                     0 |         202203 | Mar-22      | Mar-2022        |            2 | Tue       | Weekday          |               166 |               0 | March-2022      |
| Existing Payor/Existing States |        256924 | TX      |                 1 | 2022-01-26 00:00:00.000 | TX              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            3 | Wed       | Weekday          |               161 |              -5 | January-2022    |
| Existing Payor/New States      |        185781 |         |                 1 | 2022-02-23 00:00:00.000 | Exp             |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            3 | Wed       | Weekday          |               165 |              -1 | February-2022   |
| Existing Payor/Existing States |        259829 | MS      |                 1 | 2022-02-23 00:00:00.000 | MS              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            3 | Wed       | Weekday          |               165 |              -1 | February-2022   |
| Existing Payor/Existing States |        381446 | NJ      |                 1 | 2022-01-13 00:00:00.000 | NJ              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            4 | Thu       | Weekday          |               159 |              -7 | January-2022    |
| Existing Payor/Existing States |        185781 | IN      |                 2 | 2022-02-14 00:00:00.000 | IN              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            1 | Mon       | Weekday          |               164 |              -2 | February-2022   |
| Existing Payor/Existing States |        104815 | MO      |                 1 | 2022-02-18 00:00:00.000 | MO              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            5 | Fri       | Weekday          |               164 |              -2 | February-2022   |
| Existing Payor/Existing States |        497567 | IA      |                 7 | 2022-02-23 00:00:00.000 | IA              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            3 | Wed       | Weekday          |               165 |              -1 | February-2022   |
| Existing Payor/Existing States |        385267 | KY      |                 2 | 2022-02-25 00:00:00.000 | KY              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            5 | Fri       | Weekday          |               165 |              -1 | February-2022   |
| Existing Payor/Existing States |        185300 | NC      |                 6 | 2022-02-09 00:00:00.000 | NC              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            3 | Wed       | Weekday          |               163 |              -3 | February-2022   |
| Existing Payor/Existing States |        416952 | CA      |                 1 | 2022-02-05 00:00:00.000 | CA              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            6 | Sat       | Weekend          |               162 |              -4 | February-2022   |
| Existing Payor/Existing States |        175308 | GA      |                 1 | 2022-01-14 00:00:00.000 | GA              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            5 | Fri       | Weekday          |               159 |              -7 | January-2022    |
| Existing Payor/Existing States |        459442 | GA      |                 2 | 2022-01-10 00:00:00.000 | GA              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            1 | Mon       | Weekday          |               159 |              -7 | January-2022    |
| Existing Payor/Existing States |        459442 | NC      |                 2 | 2022-01-18 00:00:00.000 | NC              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            2 | Tue       | Weekday          |               160 |              -6 | January-2022    |
| Existing Payor/Existing States |        459442 | MI      |                 1 | 2022-01-28 00:00:00.000 | MI              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            5 | Fri       | Weekday          |               161 |              -5 | January-2022    |
| Existing Payor/Existing States |        459442 | OK      |                 1 | 2022-01-28 00:00:00.000 | OK              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            5 | Fri       | Weekday          |               161 |              -5 | January-2022    |
| Existing Payor/Existing States |        185300 | FL      |                 6 | 2022-01-27 00:00:00.000 | FL              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            4 | Thu       | Weekday          |               161 |              -5 | January-2022    |
| Existing Payor/Existing States |        185781 | KS      |                 2 | 2022-01-20 00:00:00.000 | KS              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            4 | Thu       | Weekday          |               160 |              -6 | January-2022    |
| Existing Payor/Existing States |        238418 | TX      |                 1 | 2022-02-28 00:00:00.000 | TX              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            1 | Mon       | Weekday          |               166 |               0 | February-2022   |
| Existing Payor/Existing States |        185300 | WV      |                 1 | 2022-02-21 00:00:00.000 | WV              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            1 | Mon       | Weekday          |               165 |              -1 | February-2022   |
| New Payor/New States           |        125892 | NC      |                 1 | 2022-02-22 00:00:00.000 | New Logo        |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            2 | Tue       | Weekday          |               165 |              -1 | February-2022   |
| Existing Payor/Existing States |        123976 | IA      |                 1 | 2022-01-26 00:00:00.000 | IA              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            3 | Wed       | Weekday          |               161 |              -5 | January-2022    |
| Existing Payor/Existing States |        459442 | FL      |                 2 | 2022-01-26 00:00:00.000 | FL              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            3 | Wed       | Weekday          |               161 |              -5 | January-2022    |
| Existing Payor/Existing States |        129998 | IA      |                 1 | 2022-01-19 00:00:00.000 | IA              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            3 | Wed       | Weekday          |               160 |              -6 | January-2022    |
| Existing Payor/Existing States |        416952 | FL      |                 1 | 2022-02-14 00:00:00.000 | FL              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            1 | Mon       | Weekday          |               164 |              -2 | February-2022   |
| Existing Payor/Existing States |        156654 | GA      |                 1 | 2022-02-28 00:00:00.000 | GA              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            1 | Mon       | Weekday          |               166 |               0 | February-2022   |
| Existing Payor/Existing States |        104815 | IA      |                 1 | 2022-02-16 00:00:00.000 | IA              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            3 | Wed       | Weekday          |               164 |              -2 | February-2022   |
| Existing Payor/Existing States |        185300 | MO      |                 1 | 2022-02-25 00:00:00.000 | MO              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            5 | Fri       | Weekday          |               165 |              -1 | February-2022   |
| Existing Payor/Existing States |        485416 | FL      |                 1 | 2022-02-10 00:00:00.000 | FL              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            4 | Thu       | Weekday          |               163 |              -3 | February-2022   |
| Existing Payor/Existing States |        175308 | SC      |                 1 | 2022-02-04 00:00:00.000 | SC              |          2 | Feb     | February    | Q1        |   2022 |                8 | Feb           | February          | FQ3             | FY22         |               -1 |                  0 |               0 | Past         |                     0 |         202202 | Feb-22      | Feb-2022        |            5 | Fri       | Weekday          |               162 |              -4 | February-2022   |
| Existing Payor/Existing States |        185781 | NJ      |                 3 | 2022-01-13 00:00:00.000 | NJ              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            4 | Thu       | Weekday          |               159 |              -7 | January-2022    |
| Existing Payor/Existing States |        425753 | GA      |                 1 | 2022-01-15 00:00:00.000 | GA              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            6 | Sat       | Weekend          |               159 |              -7 | January-2022    |
| Existing Payor/Existing States |        185781 | MO      |                 3 | 2022-01-10 00:00:00.000 | MO              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            1 | Mon       | Weekday          |               159 |              -7 | January-2022    |
| Existing Payor/Existing States |        212223 | FL      |                13 | 2022-01-07 00:00:00.000 | FL              |          1 | Jan     | January     | Q1        |   2022 |                7 | Jan           | January           | FQ3             | FY22         |               -2 |                  0 |               0 | Past         |                     0 |         202201 | Jan-22      | Jan-2022        |            5 | Fri       | Weekday          |               158 |              -8 | January-2022    |



label: Date
MonthNum
Date
Month
Date
MonthLong
Date
Quarter
Date
Year
Date
FiscalMonthNum
Date
FiscalMonth
Date
FiscalMonthLong
Date
FiscalQuarter
Date
FiscalYear
Date
CurMonthOffset
Date
CurQuarterOffset
Date
CurYearOffset
Date
FutureDate
Date
CurFiscalYearOffset
Date
MonthYearNum
Date
MonthYear
Date
MonthYearLong
Date
WeekdayNum
Date
Weekday
Date
WeekdayWeekend
Date
WeekSequenceNum
Date
CurWeekOffset
Date
MonthLongYear
output: {"Functional-Dependency": [["Date", "MonthNum"], ["Date", "Month"], ["Date", "MonthLong"], ["Date", "Quarter"], ["Date", "Year"], ["Date", "FiscalMonthNum"], ["Date", "FiscalMonth"], ["Date", "FiscalMonthLong"], ["Date", "FiscalQuarter"], ["Date", "FiscalYear"], ["Date", "CurMonthOffset"], ["Date", "CurQuarterOffset"], ["Date", "CurYearOffset"], ["Date", "FutureDate"], ["Date", "CurFiscalYearOffset"], ["Date", "MonthYearNum"], ["Date", "MonthYear"], ["Date", "MonthYearLong"], ["Date", "WeekdayNum"], ["Date", "Weekday"], ["Date", "WeekdayWeekend"], ["Date", "WeekSequenceNum"], ["Date", "CurWeekOffset"], ["Date", "MonthLongYear"]]}
labeled_fds: Date
MonthNum
Date
Month
Date
MonthLong
Date
Quarter
Date
Year
Date
FiscalMonthNum
Date
FiscalMonth
Date
FiscalMonthLong
Date
FiscalQuarter
Date
FiscalYear
Date
CurMonthOffset
Date
CurQuarterOffset
Date
CurYearOffset
Date
FutureDate
Date
CurFiscalYearOffset
Date
MonthYearNum
Date
MonthYear
Date
MonthYearLong
Date
WeekdayNum
Date
Weekday
Date
WeekdayWeekend
Date
WeekSequenceNum
Date
CurWeekOffset
Date
MonthLongYear
Client Name
Referral Plan Bin
Client Name
WeekdayWeekend
State
Referral Plan Bin
State
WeekdayWeekend
State Updated
WeekdayWeekend
MonthNum
WeekdayWeekend
MonthLong
WeekdayWeekend
FiscalMonthNum
WeekdayWeekend
CurQuarterOffset
WeekdayWeekend
CurYearOffset
WeekdayWeekend
CurFiscalYearOffset
WeekdayWeekend
MonthYearLong
WeekdayWeekend
source: $MMTU_HOME/resources/Relationship-finding/FD/302271304