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:
| Name                    | Title                   | Department   | Region          | Date                    |   Payout | Seniority   | Coordinates                        |   Latitude |   Longitude |   Budget |   Randomizer |    Payout % |    Budget % |   Pay_Analytics |   Pay_Development |   Pay_Marketing |   Pay_Products |   Pay_Sales |   $Pay_Analytics |   Year |   Year + 5 |   Month |   Day | New Date                |
|:------------------------|:------------------------|:-------------|:----------------|:------------------------|---------:|:------------|:-----------------------------------|-----------:|------------:|---------:|-------------:|------------:|------------:|----------------:|------------------:|----------------:|---------------:|------------:|-----------------:|-------:|-----------:|--------:|------:|:------------------------|
| Maya Huff               | Head of Marketing       | Marketing    | Eastern Europe  | 2015-04-07 00:00:00.000 |     2500 | 2y          | 50.991803534426, 35.704845221713   |   50.9918  |    35.7048  |     5753 |    2.30066   | 0.000221776 | 0.000341466 |               0 |                 0 |            2500 |              0 |           0 |                0 |   2015 |       2020 |       4 |     7 | 2020-04-07 00:00:00.000 |
| Alana Bonner            | Product Manager         | Products     | Asia            | 2013-10-07 00:00:00.000 |     2000 | 1y          | 16.089061295421, 131.03488889083   |   16.0891  |   131.035   |     3833 |    1.91576   | 0.000177421 | 0.000227506 |               0 |                 0 |               0 |           2000 |           0 |                0 |   2013 |       2018 |      10 |     7 | 2018-10-07 00:00:00.000 |
| Mark Castillo           | Marketing Manager       | Marketing    | Carribean       | 2015-11-07 00:00:00.000 |     3500 | 6y          | 17.319770401748, -75.020167643313  |   17.3198  |   -75.0202  |      394 |    0.112409  | 0.000310487 | 2.33857e-05 |               0 |                 0 |            3500 |              0 |           0 |                0 |   2015 |       2020 |      11 |     7 | 2020-11-07 00:00:00.000 |
| Rae Patterson           | Finance Analyst         | Analytics    | Australia       | 2010-04-07 00:00:00.000 |     4125 | 3y          | -14.623154687664, 139.13002316891  |  -14.6232  |   139.13    |     5479 |    1.32802   | 0.000365931 | 0.000325203 |            4125 |                 0 |               0 |              0 |           0 |             4125 |   2010 |       2015 |       4 |     7 | 2015-04-07 00:00:00.000 |
| Tara P. Blackwell       | Sales                   | Sales        | Canada          | 2012-02-07 00:00:00.000 |     8400 | 2y          | 59.162242555613, -121.30057318822  |   59.1622  |  -121.301   |     6626 |    0.788637  | 0.000745169 | 0.000393283 |               0 |                 0 |               0 |              0 |        8400 |                0 |   2012 |       2017 |       2 |     7 | 2017-02-07 00:00:00.000 |
| Mark Castillo           | Marketing Manager       | Marketing    | Carribean       | 2016-07-07 00:00:00.000 |     3675 | 6y          | 23.303993313098, -81.270682879271  |   23.304   |   -81.2707  |     4793 |    1.30403   | 0.000326011 | 0.000284486 |               0 |                 0 |            3675 |              0 |           0 |                0 |   2016 |       2021 |       7 |     7 | 2021-07-07 00:00:00.000 |
| Alec Hanson             | Marketing Manager       | Marketing    | Eastern Europe  | 2014-11-07 00:00:00.000 |     2000 | 4y          | 51.840093913974, 36.298824540064   |   51.8401  |    36.2988  |     5408 |    2.70343   | 0.000177421 | 0.000320989 |               0 |                 0 |            2000 |              0 |           0 |                0 |   2014 |       2019 |      11 |     7 | 2019-11-07 00:00:00.000 |
| Dawn X. Hardin          | Director of Development | Development  | South America   | 2014-01-07 00:00:00.000 |     6050 | 8y          | -11.853216973184, -60.979514981563 |  -11.8532  |   -60.9795  |     3814 |    0.630195  | 0.000536699 | 0.000226378 |               0 |              6050 |               0 |              0 |           0 |                0 |   2014 |       2019 |       1 |     7 | 2019-01-07 00:00:00.000 |
| Randall L. Levine       | Head of Marketing       | Marketing    | USA             | 2009-07-07 00:00:00.000 |    16800 | 8y          | 35.341769052344, -102.63995011812  |   35.3418  |  -102.64    |    24521 |    1.45953   | 0.00149034  | 0.00145543  |               0 |                 0 |           16800 |              0 |           0 |                0 |   2009 |       2014 |       7 |     7 | 2014-07-07 00:00:00.000 |
| Dorothy Ellison         | Data Analyst            | Analytics    | Central America | 2014-04-07 00:00:00.000 |      825 | 2y          | 22.266745769878, -96.447872101045  |   22.2667  |   -96.4479  |       48 |    0.0573312 | 7.31862e-05 | 2.84901e-06 |             825 |                 0 |               0 |              0 |           0 |              825 |   2014 |       2019 |       4 |     7 | 2019-04-07 00:00:00.000 |
| Hadassah Finch          | Finance Analyst         | Analytics    | Carribean       | 2013-08-07 00:00:00.000 |     2090 | 5y          | 23.23542800028, -81.031567217004   |   23.2354  |   -81.0316  |     5317 |    2.54368   | 0.000185405 | 0.000315588 |            2090 |                 0 |               0 |              0 |           0 |             2090 |   2013 |       2018 |       8 |     7 | 2018-08-07 00:00:00.000 |
| Hayes M. Rivers         | Head of Marketing       | Marketing    | Eastern Europe  | 2015-06-07 00:00:00.000 |     2000 | 1y          | 43.704414827707, 34.145631119774   |   43.7044  |    34.1456  |     2303 |    1.15102   | 0.000177421 | 0.000136693 |               0 |                 0 |            2000 |              0 |           0 |                0 |   2015 |       2020 |       6 |     7 | 2020-06-07 00:00:00.000 |
| Vincent I. Caldwell     | Sales Manager           | Sales        | Asia            | 2014-10-07 00:00:00.000 |     1800 | 2y          | 20.341293253891, 128.4298710922    |   20.3413  |   128.43    |     4812 |    2.67285   | 0.000159679 | 0.000285614 |               0 |                 0 |               0 |              0 |        1800 |                0 |   2014 |       2019 |      10 |     7 | 2019-10-07 00:00:00.000 |
| Gary Carey              | System Architect        | Development  | South America   | 2012-03-07 00:00:00.000 |     1700 | 6y          | -6.3945236544751, -73.089739821895 |   -6.39452 |   -73.0897  |     4074 |    2.39582   | 0.000150808 | 0.00024181  |               0 |              1700 |               0 |              0 |           0 |                0 |   2012 |       2017 |       3 |     7 | 2017-03-07 00:00:00.000 |
| Lacota C. Mclaughlin    | System Architect        | Development  | Europe          | 2014-09-07 00:00:00.000 |     3705 | 3y          | 48.401208742299, 15.726506041853   |   48.4012  |    15.7265  |     9710 |    2.6206    | 0.000328673 | 0.000576332 |               0 |              3705 |               0 |              0 |           0 |                0 |   2014 |       2019 |       9 |     7 | 2019-09-07 00:00:00.000 |
| Jacqueline N. Farrell   | BI Product Owner        | Products     | South America   | 2011-12-07 00:00:00.000 |     1150 | 4y          | -4.8400872776403, -55.322450733358 |   -4.84009 |   -55.3225  |      203 |    0.175662  | 0.000102017 | 1.2049e-05  |               0 |                 0 |               0 |           1150 |           0 |                0 |   2011 |       2016 |      12 |     7 | 2016-12-07 00:00:00.000 |
| Rae Patterson           | Finance Analyst         | Analytics    | Australia       | 2007-11-07 00:00:00.000 |     2750 | 3y          | -23.102864454986, 118.85393411232  |  -23.1029  |   118.854   |     1215 |    0.441625  | 0.000243954 | 7.21157e-05 |            2750 |                 0 |               0 |              0 |           0 |             2750 |   2007 |       2012 |      11 |     7 | 2012-11-07 00:00:00.000 |
| Brianna R. Harris       | Sr. Sales Manager       | Sales        | Central America | 2016-02-07 00:00:00.000 |      960 | 1y          | 30.985021692378, -95.36209116165   |   30.985   |   -95.3621  |      199 |    0.206178  | 8.51621e-05 | 1.18115e-05 |               0 |                 0 |               0 |              0 |         960 |                0 |   2016 |       2021 |       2 |     7 | 2021-02-07 00:00:00.000 |
| Alec Hanson             | Marketing Manager       | Marketing    | Eastern Europe  | 2013-11-07 00:00:00.000 |     1750 | 4y          | 42.006904612483, 35.247978167234   |   42.0069  |    35.248   |     2079 |    1.18716   | 0.000155243 | 0.000123398 |               0 |                 0 |            1750 |              0 |           0 |                0 |   2013 |       2018 |      11 |     7 | 2018-11-07 00:00:00.000 |
| Olivia M. Hall          | R&D Director            | Development  | Carribean       | 2011-02-07 00:00:00.000 |     3000 | 8y          | 18.640549095943, -74.763158904649  |   18.6405  |   -74.7632  |     5312 |    1.77033   | 0.000266132 | 0.000315291 |               0 |              3000 |               0 |              0 |           0 |                0 |   2011 |       2016 |       2 |     7 | 2016-02-07 00:00:00.000 |
| Leila L. Powell         | Sr. Sales               | Sales        | Australia       | 2013-04-07 00:00:00.000 |     4275 | 3y          | -20.966174832132, 118.9050861524   |  -20.9662  |   118.905   |    11304 |    2.644     | 0.000379238 | 0.000670943 |               0 |                 0 |               0 |              0 |        4275 |                0 |   2013 |       2018 |       4 |     7 | 2018-04-07 00:00:00.000 |
| Alec Hanson             | Marketing Manager       | Marketing    | Eastern Europe  | 2013-02-07 00:00:00.000 |     1625 | 4y          | 42.222138028693, 38.016983839937   |   42.2221  |    38.017   |      226 |    0.138606  | 0.000144155 | 1.34141e-05 |               0 |                 0 |            1625 |              0 |           0 |                0 |   2013 |       2018 |       2 |     7 | 2018-02-07 00:00:00.000 |
| Gary Carey              | System Architect        | Development  | South America   | 2010-11-07 00:00:00.000 |     1500 | 6y          | -24.852417793163, -68.281456705566 |  -24.8524  |   -68.2815  |     3829 |    2.55182   | 0.000133066 | 0.000227268 |               0 |              1500 |               0 |              0 |           0 |                0 |   2010 |       2015 |      11 |     7 | 2015-11-07 00:00:00.000 |
| Melvin Y. Wolf          | Sales Manager           | Sales        | South America   | 2012-03-07 00:00:00.000 |     1040 | 5y          | 4.6486259, -74.2478959             |    4.64863 |   -74.2479  |      441 |    0.422794  | 9.2259e-05  | 2.61753e-05 |               0 |                 0 |               0 |              0 |        1040 |                0 |   2012 |       2017 |       3 |     7 | 2017-03-07 00:00:00.000 |
| Berk Reese              | Product Manager         | Products     | Canada          | 2011-08-07 00:00:00.000 |    18750 | 3y          | 60.007515600957, -117.7713805277   |   60.0075  |  -117.771   |    24845 |    1.325     | 0.00166332  | 0.00147466  |               0 |                 0 |               0 |          18750 |           0 |                0 |   2011 |       2016 |       8 |     7 | 2016-08-07 00:00:00.000 |
| Owen Cash               | Sales Manager           | Sales        | Asia            | 2015-10-07 00:00:00.000 |     4560 | 2y          | 44.005654079803, 79.38830146192    |   44.0057  |    79.3883  |     2318 |    0.508012  | 0.00040452  | 0.000137584 |               0 |                 0 |               0 |              0 |        4560 |                0 |   2015 |       2020 |      10 |     7 | 2020-10-07 00:00:00.000 |
| MacKenzie Z. Valenzuela | R&D Director            | Products     | Australia       | 2013-02-07 00:00:00.000 |     9450 | 7y          | -19.478268659717, 138.59508306581  |  -19.4783  |   138.595   |     6860 |    0.725823  | 0.000838315 | 0.000407172 |               0 |                 0 |               0 |           9450 |           0 |                0 |   2013 |       2018 |       2 |     7 | 2018-02-07 00:00:00.000 |
| MacKenzie Z. Valenzuela | R&D Director            | Products     | Australia       | 2011-12-07 00:00:00.000 |     8550 | 7y          | -26.545776451818, 136.56618085225  |  -26.5458  |   136.566   |    20332 |    2.37787   | 0.000758475 | 0.0012068   |               0 |                 0 |               0 |           8550 |           0 |                0 |   2011 |       2016 |      12 |     7 | 2016-12-07 00:00:00.000 |
| Adena Gates             | Marketing Manager       | Marketing    | Eastern Europe  | 2012-11-07 00:00:00.000 |     2125 | 5y          | 48.087197054552, 34.937393712706   |   48.0872  |    34.9374  |     4971 |    2.33871   | 0.00018851  | 0.000295051 |               0 |                 0 |            2125 |              0 |           0 |                0 |   2012 |       2017 |      11 |     7 | 2017-11-07 00:00:00.000 |
| Tara P. Blackwell       | Sales                   | Sales        | Canada          | 2011-04-07 00:00:00.000 |     7200 | 2y          | 51.833396554068, -122.11182990058  |   51.8334  |  -122.112   |     7196 |    0.999276  | 0.000638716 | 0.000427115 |               0 |                 0 |               0 |              0 |        7200 |                0 |   2011 |       2016 |       4 |     7 | 2016-04-07 00:00:00.000 |
| Denise Church           | Sr. Developer           | Development  | Carribean       | 2010-07-07 00:00:00.000 |     2100 | 5y          | 23.558366122174, -72.505195576963  |   23.5584  |   -72.5052  |     3156 |    1.50239   | 0.000186292 | 0.000187323 |               0 |              2100 |               0 |              0 |           0 |                0 |   2010 |       2015 |       7 |     7 | 2015-07-07 00:00:00.000 |
| Lacota C. Mclaughlin    | System Architect        | Development  | Europe          | 2015-05-07 00:00:00.000 |     3990 | 3y          | 48.834947294497, 8.6109188094956   |   48.8349  |     8.61092 |     4886 |    1.2243    | 0.000353955 | 0.000290006 |               0 |              3990 |               0 |              0 |           0 |                0 |   2015 |       2020 |       5 |     7 | 2020-05-07 00:00:00.000 |
| Meghan R. Pickett       | Finance Analyst         | Analytics    | South America   | 2014-10-07 00:00:00.000 |     1200 | 2y          | -27.90225229686, -62.6694847335    |  -27.9023  |   -62.6695  |     2076 |    1.72914   | 0.000106453 | 0.00012322  |            1200 |                 0 |               0 |              0 |           0 |             1200 |   2014 |       2019 |      10 |     7 | 2019-10-07 00:00:00.000 |
| Herrod Hamilton         | Director of Development | Development  | Asia            | 2007-09-07 00:00:00.000 |     7550 | 1y          | 32.216655584004, 105.37593227574   |   32.2167  |   105.376   |     9958 |    1.31875   | 0.000669765 | 0.000591052 |               0 |              7550 |               0 |              0 |           0 |                0 |   2007 |       2012 |       9 |     7 | 2012-09-07 00:00:00.000 |
| Dahlia X. Brooks        | Sr. Sales               | Sales        | Australia       | 2010-06-07 00:00:00.000 |     3850 | 7y          | -21.235188448187, 151.09621693335  |  -21.2352  |   151.096   |     7742 |    2.01072   | 0.000341536 | 0.000459522 |               0 |                 0 |               0 |              0 |        3850 |                0 |   2010 |       2015 |       6 |     7 | 2015-06-07 00:00:00.000 |
| Mark Castillo           | Marketing Manager       | Marketing    | Carribean       | 2016-05-07 00:00:00.000 |     3675 | 6y          | 22.502882472224, -78.476877361687  |   22.5029  |   -78.4769  |      293 |    0.0795207 | 0.000326011 | 1.73909e-05 |               0 |                 0 |            3675 |              0 |           0 |                0 |   2016 |       2021 |       5 |     7 | 2021-05-07 00:00:00.000 |
| Dawn X. Hardin          | Director of Development | Development  | South America   | 2009-09-07 00:00:00.000 |     3850 | 8y          | 4.6486259, -74.2478959             |    4.64863 |   -74.2479  |     6063 |    1.57454   | 0.000341536 | 0.000359866 |               0 |              3850 |               0 |              0 |           0 |                0 |   2009 |       2014 |       9 |     7 | 2014-09-07 00:00:00.000 |
| Jolene O. Middleton     | System Architect        | Development  | Europe          | 2009-12-07 00:00:00.000 |     4400 | 3y          | 42.995103591988, -4.5189674832044  |   42.9951  |    -4.51897 |     9911 |    2.25229   | 0.000390326 | 0.000588262 |               0 |              4400 |               0 |              0 |           0 |                0 |   2009 |       2014 |      12 |     7 | 2014-12-07 00:00:00.000 |
| MacKenzie Z. Valenzuela | R&D Director            | Products     | Australia       | 2010-12-07 00:00:00.000 |     7650 | 7y          | -13.558111322276, 128.99681243105  |  -13.5581  |   128.997   |    22504 |    2.94162   | 0.000678636 | 0.00133571  |               0 |                 0 |               0 |           7650 |           0 |                0 |   2010 |       2015 |      12 |     7 | 2015-12-07 00:00:00.000 |
| Axel Villarreal         | Marketing Manager       | Marketing    | Central America | 2010-11-07 00:00:00.000 |     1250 | 1y          | 12.060755715396, -98.226972729356  |   12.0608  |   -98.227   |     1291 |    1.03228   | 0.000110888 | 7.66266e-05 |               0 |                 0 |            1250 |              0 |           0 |                0 |   2010 |       2015 |      11 |     7 | 2015-11-07 00:00:00.000 |
| Rae Patterson           | Finance Analyst         | Analytics    | Australia       | 2010-10-07 00:00:00.000 |     4400 | 3y          | -31.600222868209, 126.7415713753   |  -31.6002  |   126.742   |     6408 |    1.45625   | 0.000390326 | 0.000380343 |            4400 |                 0 |               0 |              0 |           0 |             4400 |   2010 |       2015 |      10 |     7 | 2015-10-07 00:00:00.000 |
| Mark Castillo           | Marketing Manager       | Marketing    | Carribean       | 2015-08-07 00:00:00.000 |     3325 | 6y          | 19.397550431819, -77.799325429241  |   19.3976  |   -77.7993  |     4680 |    1.40725   | 0.000294963 | 0.000277779 |               0 |                 0 |            3325 |              0 |           0 |                0 |   2015 |       2020 |       8 |     7 | 2020-08-07 00:00:00.000 |
| Dahlia X. Brooks        | Sr. Sales               | Sales        | Australia       | 2010-03-07 00:00:00.000 |     3500 | 7y          | -25.175943635213, 129.51900193437  |  -25.1759  |   129.519   |     8800 |    2.51388   | 0.000310487 | 0.000522319 |               0 |                 0 |               0 |              0 |        3500 |                0 |   2010 |       2015 |       3 |     7 | 2015-03-07 00:00:00.000 |
| Casey H. Aguirre        | Sr. Marketing Manager   | Marketing    | Central America | 2013-03-07 00:00:00.000 |     1680 | 3y          | 29.715482942524, -91.454852651418  |   29.7155  |   -91.4549  |     4859 |    2.89162   | 0.000149034 | 0.000288403 |               0 |                 0 |            1680 |              0 |           0 |                0 |   2013 |       2018 |       3 |     7 | 2018-03-07 00:00:00.000 |
| Randall L. Levine       | Head of Marketing       | Marketing    | USA             | 2008-07-07 00:00:00.000 |    14400 | 8y          | 47.528409175707, -97.447679917105  |   47.5284  |   -97.4477  |     1520 |    0.105496  | 0.00127743  | 9.02188e-05 |               0 |                 0 |           14400 |              0 |           0 |                0 |   2008 |       2013 |       7 |     7 | 2013-07-07 00:00:00.000 |
| Mark Castillo           | Marketing Manager       | Marketing    | Carribean       | 2014-06-07 00:00:00.000 |     2975 | 6y          | 17.904464760148, -77.552757150553  |   17.9045  |   -77.5528  |     2556 |    0.858863  | 0.000263914 | 0.00015171  |               0 |                 0 |            2975 |              0 |           0 |                0 |   2014 |       2019 |       6 |     7 | 2019-06-07 00:00:00.000 |
| Denise Church           | Sr. Developer           | Development  | Carribean       | 2010-02-07 00:00:00.000 |     1950 | 5y          | 23.297504200802, -71.70234513608   |   23.2975  |   -71.7023  |     3388 |    1.73677   | 0.000172986 | 0.000201093 |               0 |              1950 |               0 |              0 |           0 |                0 |   2010 |       2015 |       2 |     7 | 2015-02-07 00:00:00.000 |
| Ariana B. Hawkins       | VP Product Management   | Products     | Eastern Europe  | 2016-06-07 00:00:00.000 |     2375 | 5y          | 44.874753532059, 29.142005686586   |   44.8748  |    29.142   |     1293 |    0.544096  | 0.000210688 | 7.67453e-05 |               0 |                 0 |               0 |           2375 |           0 |                0 |   2016 |       2021 |       6 |     7 | 2021-06-07 00:00:00.000 |
| Lacota C. Mclaughlin    | System Architect        | Development  | Europe          | 2013-04-07 00:00:00.000 |     2850 | 3y          | 45.86108289788, 7.2636819474578    |   45.8611  |     7.26368 |     2905 |    1.01888   | 0.000252825 | 0.000172425 |               0 |              2850 |               0 |              0 |           0 |                0 |   2013 |       2018 |       4 |     7 | 2018-04-07 00:00:00.000 |
| Ramona Maynard          | BI Product Owner        | Products     | Canada          | 2011-02-07 00:00:00.000 |     7150 | 3y          | 65.240357632826, -104.4063970068   |   65.2404  |  -104.406   |     1429 |    0.199719  | 0.000634281 | 8.48175e-05 |               0 |                 0 |               0 |           7150 |           0 |                0 |   2011 |       2016 |       2 |     7 | 2016-02-07 00:00:00.000 |



label: Date
Year
Date
Year + 5
Date
Month
Date
Day
Date
New Date
output: {"Functional-Dependency": [["Date", "Year"], ["Date", "Year + 5"], ["Date", "Month"], ["Date", "Day"], ["Date", "New Date"]]}
labeled_fds: Date
Year
Date
Year + 5
Date
Month
Date
Day
Date
New Date
Coordinates
Title
Coordinates
Region
Coordinates
Pay_Marketing
Coordinates
$Pay_Analytics
Coordinates
Month
Latitude
Region
Latitude
Coordinates
Latitude
Longitude
Latitude
Pay_Marketing
Longitude
Region
Longitude
Pay_Analytics
Longitude
Pay_Marketing
Longitude
Pay_Sales
Budget
Name
Budget
Title
Budget
Department
Budget
Region
Budget
Date
Budget
Seniority
Budget
Coordinates
Budget
Longitude
Budget
Randomizer
Budget
Payout %
Budget
Pay_Analytics
Budget
Pay_Development
Budget
Pay_Marketing
Budget
Pay_Products
Budget
$Pay_Analytics
Budget
Year + 5
Budget
New Date
Budget %
Name
Budget %
Title
Budget %
Department
Budget %
Date
Budget %
Payout
Budget %
Seniority
Budget %
Coordinates
Budget %
Latitude
Budget %
Longitude
Budget %
Randomizer
Budget %
Payout %
Budget %
Pay_Analytics
Budget %
Pay_Development
Budget %
Pay_Marketing
Budget %
Pay_Products
Budget %
Pay_Sales
Budget %
$Pay_Analytics
Budget %
Year
Budget %
Month
Budget %
New Date
source: $MMTU_HOME/resources/Relationship-finding/FD/201084819