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:
| Order ID   | Product ID   | Location ID   | Sales Person ID   | Customer ID   | Purchase Date           |   Quantity | Name                  | County                                                         | State Code   | State          | Type                    |   Area Code |   Population |   Households |   Median Income |   Land Area |   Water Area | Time Zone        |
|:-----------|:-------------|:--------------|:------------------|:--------------|:------------------------|-----------:|:----------------------|:---------------------------------------------------------------|:-------------|:---------------|:------------------------|------------:|-------------:|-------------:|----------------:|------------:|-------------:|:-----------------|
| AX15456    | ENX2090      | A105          | EMP1006           | C1667         | 2016-11-25 00:00:00.000 |          2 | New Haven (Town)      | New Haven County                                               | CT           | Connecticut    | Town                    |         203 |       130322 |        49771 |           37192 |    48407373 |      3739487 | America/New York |
| AX14817    | ENX2035      | A177          | EMP1014           | C1584         | 2017-12-26 00:00:00.000 |          1 | Queens                | Queens County                                                  | NY           | New York       | Borough                 |         718 |      2339150 |       782664 |           42439 |   109000000 |     70000000 | America/New York |
| AX24882    | ENX2029      | A188          | EMP1011           | C1395         | 2015-09-06 00:00:00.000 |          2 | North Charleston      | Dorchester County/Berkeley County/Charleston County            | SC           | South Carolina | City                    |         843 |       108304 |        37597 |           39543 |   190807625 |      8969264 | America/New York |
| AX18918    | ENX2079      | A139          | EMP1003           | C1775         | 2017-05-11 00:00:00.000 |          1 | Macon                 | Bibb County                                                    | GA           | Georgia        | Other                   |         478 |       153515 |        57025 |           36568 |   645603627 |     14488557 | America/New York |
| AX10196    | ENX2083      | A110          | EMP1008           | C1141         | 2015-06-22 00:00:00.000 |          1 | Brandon               | Hillsborough County                                            | FL           | Florida        | CDP                     |         813 |       106604 |        40453 |           56464 |    85738633 |      4903052 | America/New York |
| AX22160    | ENX2068      | A167          | EMP1037           | C1543         | 2016-11-26 00:00:00.000 |          1 | Brookhaven            | Suffolk County                                                 | NY           | New York       | Town                    |         631 |       489278 |       161116 |           87040 |   671934794 |    704749682 | America/New York |
| AX24319    | ENX2092      | A166          | EMP1044           | C1406         | 2016-06-26 00:00:00.000 |          1 | Babylon (Town)        | Suffolk County                                                 | NY           | New York       | Town                    |         631 |       213776 |        68789 |           80327 |   135481314 |    160302131 | America/New York |
| AX17585    | ENX2057      | A142          | EMP1030           | C1246         | 2016-08-25 00:00:00.000 |          1 | Boston                | Suffolk County                                                 | MA           | Massachusetts  | City                    |         857 |       667137 |       256294 |           55777 |   125219114 |    106849577 | America/New York |
| AX11899    | ENX2064      | A173          | EMP1012           | C1205         | 2017-05-13 00:00:00.000 |          1 | Manhattan             | New York County                                                | NY           | New York       | Borough                 |         212 |      1644518 |       738644 |           47030 |    59100000 |     28000000 | America/New York |
| AX16925    | ENX2057      | A126          | EMP1002           | C1047         | 2015-04-19 00:00:00.000 |          1 | Palm Bay              | Brevard County                                                 | FL           | Florida        | City                    |         321 |       107888 |        37821 |           43163 |   170217927 |      8124203 | America/New York |
| AX23507    | ENX2082      | A154          | EMP1023           | C1140         | 2016-01-20 00:00:00.000 |          1 | High Point            | Davidson County/Randolph County/Forsyth County/Guilford County | NC           | North Carolina | City                    |         336 |       110268 |        40973 |           42299 |   142972062 |      3925954 | America/New York |
| AX23444    | ENX2056      | A118          | EMP1000           | C1216         | 2016-06-11 00:00:00.000 |          1 | Hollywood             | Broward County                                                 | FL           | Florida        | City                    |         954 |       149728 |        55823 |           46791 |    70639073 |      8937087 | America/New York |
| AX21334    | ENX2032      | A168          | EMP1014           | C1326         | 2016-04-22 00:00:00.000 |          2 | Brooklyn              | Kings County                                                   | NY           | New York       | Borough                 |         347 |      2636735 |       880727 |           32135 |   180000000 |     70000000 | America/New York |
| AX14838    | ENX2025      | A119          | EMP1037           | C1463         | 2015-10-05 00:00:00.000 |          1 | Jacksonville          | Duval County                                                   | FL           | Florida        | City                    |         904 |       868031 |       318575 |           46764 |  1935873371 |    329424471 | America/New York |
| AX21981    | ENX2093      | A123          | EMP1037           | C1317         | 2015-07-20 00:00:00.000 |          1 | Miami Gardens         | Miami-Dade County                                              | FL           | Florida        | City                    |         305 |       113187 |        31003 |           38253 |    47236363 |      2016214 | America/New York |
| AX19383    | ENX2061      | A180          | EMP1001           | C1125         | 2016-05-13 00:00:00.000 |          1 | Smithtown             | Suffolk County                                                 | NY           | New York       | Town                    |         631 |       118275 |        39425 |          112693 |   139096977 |    149547375 | America/New York |
| AX19147    | ENX2021      | A105          | EMP1028           | C1191         | 2015-03-26 00:00:00.000 |          1 | New Haven (Town)      | New Haven County                                               | CT           | Connecticut    | Town                    |         203 |       130322 |        49771 |           37192 |    48407373 |      3739487 | America/New York |
| AX18266    | ENX2094      | A196          | EMP1009           | C1638         | 2016-04-13 00:00:00.000 |          2 | Virginia Beach        | Virginia Beach city                                            | VA           | Virginia       | City                    |         757 |       452745 |       166242 |           66634 |   633821720 |    654694207 | America/New York |
| AX20023    | ENX2093      | A173          | EMP1037           | C1662         | 2015-11-27 00:00:00.000 |          2 | Manhattan             | New York County                                                | NY           | New York       | Borough                 |         212 |      1644518 |       738644 |           47030 |    59100000 |     28000000 | America/New York |
| AX22388    | ENX2074      | A126          | EMP1038           | C1644         | 2015-08-25 00:00:00.000 |          1 | Palm Bay              | Brevard County                                                 | FL           | Florida        | City                    |         321 |       107888 |        37821 |           43163 |   170217927 |      8124203 | America/New York |
| AX23089    | ENX2065      | A125          | EMP1002           | C1232         | 2015-07-11 00:00:00.000 |          1 | Orlando               | Orange County                                                  | FL           | Florida        | City                    |         407 |       270934 |       105359 |           42318 |   272512582 |     22100434 | America/New York |
| AX11496    | ENX2085      | A144          | EMP1032           | C1622         | 2015-08-30 00:00:00.000 |          1 | Lowell                | Middlesex County                                               | MA           | Massachusetts  | City                    |         351 |       110699 |        38489 |           48002 |    35187375 |      2442614 | America/New York |
| AX15912    | ENX2011      | A170          | EMP1005           | C1617         | 2017-02-24 00:00:00.000 |          1 | Hempstead (Town)      | Nassau County                                                  | NY           | New York       | Town                    |         516 |       771018 |       241539 |           94999 |   307389025 |    189288363 | America/New York |
| AX16013    | ENX2060      | A152          | EMP1016           | C1250         | 2016-05-08 00:00:00.000 |          3 | Fayetteville          | Cumberland County                                              | NC           | North Carolina | City                    |         910 |       201963 |        78439 |           43630 |   382659645 |      4765966 | America/New York |
| AX23943    | ENX2079      | A103          | EMP1017           | C1584         | 2017-10-15 00:00:00.000 |          1 | Hartford (Town)       | Hartford County                                                | CT           | Connecticut    | Town                    |         959 |       124006 |        45239 |           30630 |    45016120 |      1748078 | America/New York |
| AX22644    | ENX2091      | A182          | EMP1021           | C1492         | 2016-04-18 00:00:00.000 |          1 | Syracuse              | Onondaga County                                                | NY           | New York       | City                    |         315 |       144142 |        54781 |           31881 |    64867329 |      1463257 | America/New York |
| AX19054    | ENX2043      | A157          | EMP1012           | C1633         | 2016-08-22 00:00:00.000 |          1 | Winston-Salem         | Forsyth County                                                 | NC           | North Carolina | City                    |         336 |       241218 |        93267 |           39882 |   343173025 |      3173027 | America/New York |
| AX19428    | ENX2017      | A126          | EMP1010           | C1512         | 2017-06-17 00:00:00.000 |          1 | Palm Bay              | Brevard County                                                 | FL           | Florida        | City                    |         321 |       107888 |        37821 |           43163 |   170217927 |      8124203 | America/New York |
| AX14442    | ENX2099      | A123          | EMP1014           | C1517         | 2015-03-08 00:00:00.000 |          3 | Miami Gardens         | Miami-Dade County                                              | FL           | Florida        | City                    |         305 |       113187 |        31003 |           38253 |    47236363 |      2016214 | America/New York |
| AX11261    | ENX2077      | A125          | EMP1036           | C1274         | 2017-03-04 00:00:00.000 |          2 | Orlando               | Orange County                                                  | FL           | Florida        | City                    |         407 |       270934 |       105359 |           42318 |   272512582 |     22100434 | America/New York |
| AX17870    | ENX2036      | A151          | EMP1039           | C1400         | 2016-06-12 00:00:00.000 |          1 | Durham                | Durham County/Orange County/Wake County                        | NC           | North Carolina | City                    |         919 |       257636 |       100513 |           50420 |   284339132 |      2323182 | America/New York |
| AX23715    | ENX2051      | A112          | EMP1035           | C1768         | 2015-07-29 00:00:00.000 |          1 | Clearwater            | Pinellas County                                                | FL           | Florida        | City                    |         727 |       113003 |        46234 |           44198 |    67027321 |     36469162 | America/New York |
| AX10169    | ENX2020      | A180          | EMP1018           | C1215         | 2017-09-17 00:00:00.000 |          1 | Smithtown             | Suffolk County                                                 | NY           | New York       | Town                    |         631 |       118275 |        39425 |          112693 |   139096977 |    149547375 | America/New York |
| AX22115    | ENX2054      | A149          | EMP1009           | C1540         | 2017-08-02 00:00:00.000 |          3 | Cary                  | Chatham County/Wake County                                     | NC           | North Carolina | Town                    |         919 |       159769 |        56034 |           91579 |   146322917 |      2815890 | America/New York |
| AX12361    | ENX2044      | A141          | EMP1040           | C1014         | 2015-04-22 00:00:00.000 |          3 | Savannah              | Chatham County                                                 | GA           | Georgia        | City                    |         912 |       145674 |        52798 |           36466 |   268318796 |     13908113 | America/New York |
| AX15107    | ENX2002      | A162          | EMP1009           | C1179         | 2016-01-03 00:00:00.000 |          3 | Newark                | Essex County                                                   | NJ           | New Jersey     | City                    |         973 |       281944 |        92675 |           33139 |    62531085 |      4509710 | America/New York |
| AX11250    | ENX2071      | A137          | EMP1003           | C1459         | 2017-07-28 00:00:00.000 |          1 | Augusta               | Richmond County                                                | GA           | Georgia        | Consolidated Government |         706 |       201793 |        73917 |           39464 |   840008393 |     11042219 | America/New York |
| AX20655    | ENX2092      | A164          | EMP1031           | C1789         | 2015-10-12 00:00:00.000 |          1 | Woodbridge (Township) | Middlesex County                                               | NJ           | New Jersey     | Township                |         848 |       102105 |        33375 |           79720 |    60235960 |      3515266 | America/New York |
| AX18635    | ENX2038      | A181          | EMP1005           | C1426         | 2016-01-07 00:00:00.000 |          4 | Staten Island         | Richmond County                                                | NY           | New York       | Borough                 |         718 |       474558 |       156341 |           55039 |   152000000 |    110000000 | America/New York |
| AX15771    | ENX2047      | A195          | EMP1025           | C1383         | 2017-04-22 00:00:00.000 |          1 | Richmond              | Richmond city                                                  | VA           | Virginia       | City                    |         804 |       220289 |        87224 |           40758 |   154942138 |      6879776 | America/New York |
| AX22232    | ENX2067      | A154          | EMP1036           | C1438         | 2017-04-05 00:00:00.000 |          3 | High Point            | Davidson County/Randolph County/Forsyth County/Guilford County | NC           | North Carolina | City                    |         336 |       110268 |        40973 |           42299 |   142972062 |      3925954 | America/New York |
| AX24507    | ENX2075      | A153          | EMP1019           | C1286         | 2017-07-16 00:00:00.000 |          1 | Greensboro            | Guilford County                                                | NC           | North Carolina | City                    |         336 |       285342 |       114080 |           41628 |   332338206 |     13707999 | America/New York |
| AX17939    | ENX2072      | A187          | EMP1031           | C1767         | 2015-12-15 00:00:00.000 |          2 | Columbia              | Lexington County/Richland County                               | SC           | South Carolina | City                    |         803 |       133803 |        44506 |           41260 |   345805347 |      6998722 | America/New York |
| AX18238    | ENX2025      | A107          | EMP1027           | C1796         | 2017-12-09 00:00:00.000 |          1 | Stamford (Town)       | Fairfield County                                               | CT           | Connecticut    | Town                    |         203 |       128874 |        46974 |           79359 |    97430571 |     37323740 | America/New York |
| AX22651    | ENX2066      | A142          | EMP1029           | C1289         | 2015-10-05 00:00:00.000 |          2 | Boston                | Suffolk County                                                 | MA           | Massachusetts  | City                    |         857 |       667137 |       256294 |           55777 |   125219114 |    106849577 | America/New York |
| AX20784    | ENX2050      | A129          | EMP1000           | C1697         | 2016-08-24 00:00:00.000 |          4 | Port St. Lucie        | St. Lucie County                                               | FL           | Florida        | City                    |         772 |       179413 |        59221 |           49813 |   307920898 |      4193519 | America/New York |
| AX22410    | ENX2077      | A177          | EMP1017           | C1738         | 2016-01-06 00:00:00.000 |          1 | Queens                | Queens County                                                  | NY           | New York       | Borough                 |         718 |      2339150 |       782664 |           42439 |   109000000 |     70000000 | America/New York |
| AX10625    | ENX2003      | A102          | EMP1035           | C1435         | 2015-01-10 00:00:00.000 |          2 | Hartford              | Hartford County                                                | CT           | Connecticut    | City                    |         959 |       124006 |        45239 |           30630 |    45016120 |      1748078 | America/New York |
| AX10838    | ENX2100      | A132          | EMP1023           | C1229         | 2015-01-11 00:00:00.000 |          1 | Tallahassee           | Leon County                                                    | FL           | Florida        | City                    |         850 |       189907 |        74388 |           39681 |   260089732 |      8300437 | America/New York |
| AX16514    | ENX2098      | A150          | EMP1012           | C1408         | 2016-12-29 00:00:00.000 |          1 | Charlotte             | Mecklenburg County                                             | NC           | North Carolina | City                    |         704 |       827097 |       305488 |           53637 |   790925550 |      5215849 | America/New York |



label: Location ID
Name
Location ID
County
Location ID
State Code
Location ID
State
Location ID
Type
Location ID
Area Code
Location ID
Population
Location ID
Households
Location ID
Median Income
Location ID
Land Area
Location ID
Water Area
Location ID
Time Zone
output: {"Functional-Dependency": [["Location ID", "Name"], ["Location ID", "County"], ["Location ID", "State Code"], ["Location ID", "State"], ["Location ID", "Type"], ["Location ID", "Area Code"], ["Location ID", "Population"], ["Location ID", "Households"], ["Location ID", "Median Income"], ["Location ID", "Land Area"], ["Location ID", "Water Area"], ["Location ID", "Time Zone"]]}
labeled_fds: Location ID
Name
Location ID
County
Location ID
State Code
Location ID
State
Location ID
Type
Location ID
Area Code
Location ID
Population
Location ID
Households
Location ID
Median Income
Location ID
Land Area
Location ID
Water Area
Location ID
Time Zone
Name
State Code
Name
Type
Name
Area Code
Name
Population
Name
Households
Name
Median Income
Median Income
Population
Median Income
Land Area
Median Income
Water Area
Water Area
County
source: $MMTU_HOME/resources/Relationship-finding/FD/195214419