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:
|   SalesKey | DateKey                 |   channelKey |   StoreKey |   ProductKey |   PromotionKey |   CurrencyKey |   UnitCost |   UnitPrice |   SalesQuantity |   ReturnQuantity |   ReturnAmount |   DiscountQuantity |   DiscountAmount |   TotalCost |   SalesAmount |   ETLLoadID | LoadDate                | UpdateDate              | Date                    | FinancialMonth   |   FMonth_Numeric |   FinancialDay |   FianacialYear |
|-----------:|:------------------------|-------------:|-----------:|-------------:|---------------:|--------------:|-----------:|------------:|----------------:|-----------------:|---------------:|-------------------:|-----------------:|------------:|--------------:|------------:|:------------------------|:------------------------|:------------------------|:-----------------|-----------------:|---------------:|----------------:|
|      67461 | 2007-10-28 00:00:00.000 |            1 |          1 |         2443 |              1 |             1 |       2.54 |        4.99 |               5 |                0 |           0    |                  0 |           0      |       12.7  |        24.95  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-10-28 00:00:00.000 | April            |                4 |           -149 |            2007 |
|    1726754 | 2008-07-09 00:00:00.000 |            1 |          1 |         2161 |             12 |             1 |      83.1  |      163    |              12 |                0 |           0    |                  0 |           0      |      997.2  |      1956     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-07-09 00:00:00.000 | January          |                1 |            -38 |            2008 |
|    1431501 | 2007-06-02 00:00:00.000 |            1 |          1 |         1247 |              1 |             1 |      25.49 |       49.99 |               5 |                0 |           0    |                  0 |           0      |      127.45 |       249.95  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-06-02 00:00:00.000 | December         |               12 |             -1 |            2006 |
|    3001236 | 2008-03-13 00:00:00.000 |            1 |          1 |         1829 |             11 |             1 |     836.03 |     1818    |               4 |                0 |           0    |                  0 |           0      |     3344.12 |      7272     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-03-13 00:00:00.000 | September        |                9 |             80 |            2007 |
|    2919047 | 2007-04-28 00:00:00.000 |            1 |          1 |         1627 |              1 |             1 |       8.27 |       17.99 |              10 |                0 |           0    |                  0 |           0      |       82.7  |       179.9   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-04-28 00:00:00.000 | October          |               10 |             34 |            2006 |
|     992373 | 2007-05-11 00:00:00.000 |            1 |          1 |         1830 |              1 |             1 |     815.22 |     1599    |               5 |                0 |           0    |                  0 |           0      |     4076.1  |      7995     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-05-11 00:00:00.000 | November         |               11 |             21 |            2006 |
|     120596 | 2009-01-05 00:00:00.000 |            1 |          1 |         2334 |             20 |             1 |     210.72 |      635.99 |               9 |                0 |           0    |                  3 |          95.3985 |     1896.48 |      5628.51  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2009-01-05 00:00:00.000 | July             |                7 |            147 |            2008 |
|    2653581 | 2007-04-01 00:00:00.000 |            1 |          1 |         2299 |              1 |             1 |      52    |      101.99 |               5 |                0 |           0    |                  0 |           0      |      260    |       509.95  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-04-01 00:00:00.000 | October          |               10 |             61 |            2006 |
|     308140 | 2008-04-28 00:00:00.000 |            1 |          1 |          359 |              1 |             1 |     187.62 |      368    |              10 |                0 |           0    |                  0 |           0      |     1876.2  |      3680     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-04-28 00:00:00.000 | October          |               10 |             34 |            2007 |
|    3062574 | 2009-11-11 00:00:00.000 |            1 |          1 |         1550 |             22 |             1 |     128.76 |      280    |              13 |                0 |           0    |                  2 |         112      |     1673.88 |      3528     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2009-11-11 00:00:00.000 | May              |                5 |           -163 |            2009 |
|      61475 | 2007-04-05 00:00:00.000 |            1 |          1 |         1260 |              1 |             1 |      18.86 |       36.99 |               5 |                0 |           0    |                  0 |           0      |       94.3  |       184.95  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-04-05 00:00:00.000 | October          |               10 |             57 |            2006 |
|     529768 | 2007-05-02 00:00:00.000 |            1 |          1 |         2243 |              1 |             1 |      52    |      101.99 |               5 |                0 |           0    |                  0 |           0      |      260    |       509.95  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-05-02 00:00:00.000 | November         |               11 |             30 |            2006 |
|     905439 | 2009-06-13 00:00:00.000 |            1 |          1 |         1964 |              1 |             1 |     413.42 |      899    |              10 |                0 |           0    |                  0 |           0      |     4134.2  |      8990     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2009-06-13 00:00:00.000 | December         |               12 |            -12 |            2008 |
|    2320083 | 2008-04-07 00:00:00.000 |            1 |          1 |         2427 |              1 |             1 |      16.77 |       32.89 |              10 |                0 |           0    |                  0 |           0      |      167.7  |       328.9   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-04-07 00:00:00.000 | October          |               10 |             55 |            2007 |
|    1952116 | 2008-02-08 00:00:00.000 |            1 |          1 |         1917 |             11 |             1 |     226.71 |      493    |               9 |                0 |           0    |                  1 |          24.65   |     2040.39 |      4412.35  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-02-08 00:00:00.000 | August           |                8 |            114 |            2007 |
|     465214 | 2007-07-11 00:00:00.000 |            1 |          1 |          487 |              3 |             1 |      30.08 |       59    |               6 |                1 |          59    |                  0 |           0      |      180.48 |       354     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-07-11 00:00:00.000 | January          |                1 |            -40 |            2007 |
|     445027 | 2007-05-13 00:00:00.000 |            1 |          1 |         1365 |              1 |             1 |      13.33 |       28.99 |              10 |                0 |           0    |                  0 |           0      |      133.3  |       289.9   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-05-13 00:00:00.000 | November         |               11 |             19 |            2006 |
|    1050060 | 2007-01-23 00:00:00.000 |            1 |          1 |          317 |              2 |             1 |     162.64 |      319    |               9 |                0 |           0    |                  3 |          47.85   |     1463.76 |      2823.15  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-01-23 00:00:00.000 | July             |                7 |            129 |            2006 |
|     824690 | 2008-02-15 00:00:00.000 |            1 |          1 |         1353 |             11 |             1 |      12.41 |       26.99 |               9 |                0 |           0    |                  2 |           2.699  |      111.69 |       240.211 |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-02-15 00:00:00.000 | August           |                8 |            107 |            2007 |
|     259376 | 2008-08-15 00:00:00.000 |            1 |          1 |         1090 |             12 |             1 |     152.68 |      332    |              12 |                0 |           0    |                  0 |           0      |     1832.16 |      3984     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-08-15 00:00:00.000 | February         |                2 |            -75 |            2008 |
|    1777589 | 2008-11-23 00:00:00.000 |            1 |          1 |          297 |             13 |             1 |     137.14 |      269    |              13 |                0 |           0    |                  2 |         107.6    |     1782.82 |      3389.4   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-11-23 00:00:00.000 | May              |                5 |           -175 |            2008 |
|     229166 | 2008-05-02 00:00:00.000 |            1 |          1 |          988 |              1 |             1 |      68.06 |      148    |              10 |                0 |           0    |                  0 |           0      |      680.6  |      1480     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-05-02 00:00:00.000 | November         |               11 |             30 |            2007 |
|    1378316 | 2009-08-02 00:00:00.000 |            1 |          1 |         1602 |             21 |             1 |      82.77 |      179.99 |              12 |                0 |           0    |                  1 |          17.999  |      993.24 |      2141.88  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2009-08-02 00:00:00.000 | February         |                2 |            -62 |            2009 |
|     159547 | 2008-09-25 00:00:00.000 |            1 |          1 |         1520 |             12 |             1 |     128.76 |      280    |              12 |                0 |           0    |                  1 |          28      |     1545.12 |      3332     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-09-25 00:00:00.000 | March            |                3 |           -116 |            2008 |
|    2230454 | 2008-01-07 00:00:00.000 |            1 |          1 |         2325 |             11 |             1 |      15.29 |       29.99 |               9 |                0 |           0    |                  0 |           0      |      137.61 |       269.91  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-01-07 00:00:00.000 | July             |                7 |            146 |            2007 |
|    2402643 | 2009-04-28 00:00:00.000 |            1 |          1 |         1421 |              1 |             1 |     133.36 |      290    |              10 |                0 |           0    |                  0 |           0      |     1333.6  |      2900     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2009-04-28 00:00:00.000 | October          |               10 |             34 |            2008 |
|     288464 | 2007-02-28 00:00:00.000 |            1 |          1 |         2103 |              2 |             1 |     258.99 |      508    |               9 |                0 |           0    |                  3 |          76.2    |     2330.91 |      4495.8   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-02-28 00:00:00.000 | August           |                8 |             93 |            2006 |
|    3043689 | 2007-01-08 00:00:00.000 |            1 |          1 |          573 |              2 |             1 |      70.87 |      139    |               4 |                0 |           0    |                  2 |          13.9    |      283.48 |       542.1   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-01-08 00:00:00.000 | July             |                7 |            144 |            2006 |
|     182295 | 2007-06-08 00:00:00.000 |            1 |          1 |         1161 |              1 |             1 |     404.68 |      880    |              10 |                1 |         880    |                  0 |           0      |     3642.12 |      8800     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-06-08 00:00:00.000 | December         |               12 |             -7 |            2006 |
|    3262594 | 2008-07-04 00:00:00.000 |            1 |          1 |         2108 |             12 |             1 |     258.99 |      508    |              12 |                0 |           0    |                  1 |          50.8    |     3107.88 |      6045.2   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-07-04 00:00:00.000 | January          |                1 |            -33 |            2008 |
|    2932375 | 2008-09-01 00:00:00.000 |            1 |          1 |         1695 |             12 |             1 |       2.54 |        4.98 |              60 |                0 |           0    |                  2 |           0.996  |      152.4  |       297.804 |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-09-01 00:00:00.000 | March            |                3 |            -92 |            2008 |
|    1215918 | 2007-01-10 00:00:00.000 |            1 |          1 |         1056 |              2 |             1 |     207.74 |      627    |               9 |                0 |           0    |                  3 |          94.05   |     1869.66 |      5548.95  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-01-10 00:00:00.000 | July             |                7 |            142 |            2006 |
|     889264 | 2009-08-22 00:00:00.000 |            1 |          1 |         1552 |             21 |             1 |     131.87 |      398    |               6 |                0 |           0    |                  3 |         119.4    |      791.22 |      2268.6   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2009-08-22 00:00:00.000 | February         |                2 |            -82 |            2009 |
|    2481527 | 2008-03-18 00:00:00.000 |            1 |          1 |         1352 |             11 |             1 |      10.57 |       22.99 |               9 |                0 |           0    |                  4 |           4.598  |       95.13 |       202.312 |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-03-18 00:00:00.000 | September        |                9 |             75 |            2007 |
|      51635 | 2008-10-14 00:00:00.000 |            1 |          1 |         1622 |              1 |             1 |      72.56 |      219    |              10 |                1 |         219    |                  0 |           0      |      653.04 |      2190     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-10-14 00:00:00.000 | April            |                4 |           -135 |            2008 |
|    2231889 | 2007-05-30 00:00:00.000 |            1 |          1 |          471 |              1 |             1 |      50.47 |       99    |               5 |                0 |           0    |                  0 |           0      |      252.35 |       495     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-05-30 00:00:00.000 | November         |               11 |              2 |            2006 |
|     110153 | 2007-05-25 00:00:00.000 |            1 |          1 |         1944 |              1 |             1 |      66.27 |      129.99 |               5 |                0 |           0    |                  0 |           0      |      331.35 |       649.95  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-05-25 00:00:00.000 | November         |               11 |              7 |            2006 |
|    1025267 | 2008-09-13 00:00:00.000 |            1 |          1 |         1846 |             12 |             1 |     509.32 |      999    |               6 |                0 |           0    |                  3 |         299.7    |     3055.92 |      5694.3   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2008-09-13 00:00:00.000 | March            |                3 |           -104 |            2008 |
|    2130988 | 2007-10-23 00:00:00.000 |            1 |          1 |         1696 |              1 |             1 |       5.63 |       16.99 |              50 |                0 |           0    |                  0 |           0      |      281.5  |       849.5   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-10-23 00:00:00.000 | April            |                4 |           -144 |            2007 |
|    2368045 | 2007-05-12 00:00:00.000 |            1 |          1 |         1046 |              1 |             1 |     143.48 |      312    |               5 |                0 |           0    |                  0 |           0      |      717.4  |      1560     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-05-12 00:00:00.000 | November         |               11 |             20 |            2006 |
|    2759317 | 2007-01-11 00:00:00.000 |            1 |          1 |         2023 |              2 |             1 |      50.98 |       99.99 |               4 |                0 |           0    |                  3 |          14.9985 |      203.92 |       384.962 |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-01-11 00:00:00.000 | July             |                7 |            141 |            2006 |
|    3239444 | 2009-06-11 00:00:00.000 |            1 |          1 |         2362 |              1 |             1 |     210.72 |      635.99 |              10 |                0 |           0    |                  0 |           0      |     2107.2  |      6359.9   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2009-06-11 00:00:00.000 | December         |               12 |            -10 |            2008 |
|     165290 | 2009-07-14 00:00:00.000 |            1 |          1 |          344 |             21 |             1 |     186.6  |      366    |              12 |                0 |           0    |                  1 |          36.6    |     2239.2  |      4355.4   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2009-07-14 00:00:00.000 | January          |                1 |            -43 |            2009 |
|    1125617 | 2007-02-03 00:00:00.000 |            1 |          1 |         1176 |              2 |             1 |     331.32 |     1000    |               9 |                0 |           0    |                  1 |          50      |     2981.88 |      8950     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-02-03 00:00:00.000 | August           |                8 |            118 |            2006 |
|    1542109 | 2007-11-02 00:00:00.000 |            1 |          1 |         1298 |              4 |             1 |      11.5  |       25    |              13 |                1 |          25    |                  1 |           5      |      138    |       320     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-11-02 00:00:00.000 | May              |                5 |           -154 |            2007 |
|    1825714 | 2007-09-26 00:00:00.000 |            1 |          1 |          264 |              3 |             1 |     244.72 |      480    |              12 |                0 |           0    |                  1 |          48      |     2936.64 |      5712     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-09-26 00:00:00.000 | March            |                3 |           -117 |            2007 |
|     227266 | 2007-11-28 00:00:00.000 |            1 |          1 |          863 |              4 |             1 |      23.45 |       50.99 |              39 |                1 |          50.99 |                  7 |          71.386  |      891.1  |      1917.22  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-11-28 00:00:00.000 | May              |                5 |           -180 |            2007 |
|     703407 | 2009-05-18 00:00:00.000 |            1 |          1 |         2097 |              1 |             1 |     363.75 |      791    |              10 |                0 |           0    |                  0 |           0      |     3637.5  |      7910     |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2009-05-18 00:00:00.000 | November         |               11 |             14 |            2008 |
|      40675 | 2007-07-04 00:00:00.000 |            1 |          1 |         2352 |              3 |             1 |     152.94 |      299.99 |              12 |                0 |           0    |                  0 |           0      |     1835.28 |      3599.88  |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-07-04 00:00:00.000 | January          |                1 |            -33 |            2007 |
|     560656 | 2007-10-11 00:00:00.000 |            1 |          1 |           81 |              1 |             1 |      18.65 |       40.55 |              10 |                0 |           0    |                  0 |           0      |      186.5  |       405.5   |           1 | 2010-01-01 00:00:00.000 | 2010-01-01 00:00:00.000 | 2007-10-11 00:00:00.000 | April            |                4 |           -132 |            2007 |



label: DateKey
Date
DateKey
FinancialMonth
DateKey
FMonth_Numeric
DateKey
FinancialDay
DateKey
FianacialYear
output: {"Functional-Dependency": [["DateKey", "Date"], ["DateKey", "FinancialMonth"], ["DateKey", "FMonth_Numeric"], ["DateKey", "FinancialDay"], ["DateKey", "FianacialYear"]]}
labeled_fds: DateKey
Date
DateKey
FinancialMonth
DateKey
FMonth_Numeric
DateKey
FinancialDay
DateKey
FianacialYear
DateKey
SalesQuantity
DateKey
ReturnQuantity
ProductKey
ReturnAmount
ReturnAmount
ReturnQuantity
DiscountAmount
DiscountQuantity
TotalCost
PromotionKey
TotalCost
UnitPrice
TotalCost
ReturnQuantity
TotalCost
DiscountQuantity
TotalCost
FianacialYear
SalesAmount
PromotionKey
SalesAmount
UnitCost
SalesAmount
SalesQuantity
SalesAmount
ReturnQuantity
SalesAmount
ReturnAmount
SalesAmount
DiscountAmount
SalesAmount
TotalCost
Date
ReturnAmount
FinancialDay
FinancialMonth
FinancialDay
FMonth_Numeric
source: $MMTU_HOME/resources/Relationship-finding/FD/359205553