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:
|   Units Sold |   Manufacturing Price |   Sale Price |      Gross Sales |   Discounts |            Sales |    Profit | Date                    |   Demographic Key |   Product Key |   Transaction # | Segment          | Country                  | Country Code   | Country (Short)   |
|-------------:|----------------------:|-------------:|-----------------:|------------:|-----------------:|----------:|:------------------------|------------------:|--------------:|----------------:|:-----------------|:-------------------------|:---------------|:------------------|
|       2431   |                    10 |           12 |  29172           |    1458.6   |  27713.4         |  20420.4  | 2014-12-01 00:00:00.000 |                 6 |           414 |            7043 | Channel Partners | Canada                   | CA             | Canada            |
|       2903   |                   250 |            7 |  20321           |    2844.94  |  17476.1         |   2961.06 | 2014-03-01 00:00:00.000 |                12 |           658 |           25384 | Government       | Mexico                   | MX             | Mexico            |
|       1438.5 |                    10 |            7 |  10069.5         |    1309.04  |   8760.47        |   1567.96 | 2014-01-01 00:00:00.000 |                13 |           641 |           20399 | Government       | United States of America | US             | USA               |
|       2009   |                    10 |          125 | 251125           |    7533.75  | 243591           |   2511.25 | 2014-10-01 00:00:00.000 |                 9 |            82 |            2369 | Enterprise       | Canada                   | CA             | Canada            |
|       2434.5 |                    10 |          300 | 730350           |   21910.5   | 708440           |  99814.5  | 2014-01-01 00:00:00.000 |                19 |           116 |            2055 | Small Business   | France                   | FR             | France            |
|        510   |                   120 |           15 |   7650           |     765     |   6885           |   1785    | 2014-04-01 00:00:00.000 |                 4 |           559 |           22990 | Midmarket        | Germany                  | DE             | Germany           |
|       1198   |                     3 |           12 |  14376           |    1581.36  |  12794.6         |   9200.64 | 2013-10-01 00:00:00.000 |                21 |           632 |           16509 | Channel Partners | France                   | FR             | France            |
|        809   |                   120 |          125 | 101125           |    2022.5   |  99102.5         |   2022.5  | 2013-10-01 00:00:00.000 |                20 |           175 |            3634 | Enterprise       | Germany                  | DE             | Germany           |
|       2385   |                    10 |          125 | 298125           |   14906.2   | 283219           |  -2981.25 | 2014-03-01 00:00:00.000 |                16 |           382 |            7236 | Enterprise       | France                   | FR             | France            |
|       1579   |                   250 |            7 |  11053           |    1215.83  |   9837.17        |   1942.17 | 2014-03-01 00:00:00.000 |                13 |           500 |           24699 | Government       | United States of America | US             | USA               |
|        357   |                    10 |          350 | 124950           |   16243.5   | 108706           |  15886.5  | 2014-11-01 00:00:00.000 |                 2 |           699 |           21098 | Government       | Germany                  | DE             | Germany           |
|       1715   |                     5 |           20 |  34300           |    4116     |  30184           |  13034    | 2013-10-01 00:00:00.000 |                12 |           670 |           17816 | Government       | Mexico                   | MX             | Mexico            |
|        887   |                     3 |          125 | 110875           |    6652.5   | 104222           |  -2217.5  | 2013-12-01 00:00:00.000 |                20 |           274 |           15909 | Enterprise       | Germany                  | DE             | Germany           |
|       2574   |                   260 |           12 |  30888           |    3088.8   |  27799.2         |  20077.2  | 2014-08-01 00:00:00.000 |                 8 |           624 |           26116 | Channel Partners | Germany                  | DE             | Germany           |
|       1642   |                   250 |          350 | 574700           |   17241     | 557459           | 130539    | 2014-08-01 00:00:00.000 |                12 |           208 |            4358 | Government       | Mexico                   | MX             | Mexico            |
|       2342   |                     5 |           12 |  28104           |    1967.28  |  26136.7         |  19110.7  | 2014-11-01 00:00:00.000 |                21 |           317 |            6167 | Channel Partners | France                   | FR             | France            |
|        861   |                    10 |          125 | 107625           |    5381.25  | 102244           |  -1076.25 | 2014-10-01 00:00:00.000 |                17 |           417 |            7761 | Enterprise       | United States of America | US             | USA               |
|        200   |                     5 |          350 |  70000           |    9800     |  60200           |   8200    | 2014-05-01 00:00:00.000 |                 1 |           541 |           18144 | Government       | Canada                   | CA             | Canada            |
|       2518   |                     5 |           12 |  30216           |       0     |  30216           |  22662    | 2014-06-01 00:00:00.000 |                 6 |            15 |             299 | Channel Partners | Canada                   | CA             | Canada            |
|       1925   |                    10 |           15 |  28875           |     577.5   |  28297.5         |   9047.5  | 2013-12-01 00:00:00.000 |                11 |           194 |            1865 | Midmarket        | United States of America | US             | USA               |
|       2605   |                   120 |          300 | 781500           |  101595     | 679905           |  28655    | 2013-11-01 00:00:00.000 |                10 |           686 |           23920 | Small Business   | Mexico                   | MX             | Mexico            |
|       2151   |                   250 |          300 | 645300           |       0     | 645300           | 107550    | 2014-09-01 00:00:00.000 |                19 |            45 |             451 | Small Business   | France                   | FR             | France            |
|        334   |                     5 |          300 | 100200           |    9018     |  91182           |   7682    | 2013-12-01 00:00:00.000 |                24 |           407 |            6788 | Small Business   | Germany                  | DE             | Germany           |
|        766   |                     3 |           12 |   9192           |      91.92  |   9100.08        |   6802.08 | 2013-10-01 00:00:00.000 |                 8 |           145 |            4674 | Channel Partners | Germany                  | DE             | Germany           |
|        700   |                    10 |          350 | 245000           |   34300     | 210700           |  28700    | 2014-11-01 00:00:00.000 |                 1 |           675 |           21838 | Government       | Canada                   | CA             | Canada            |
|       1281   |                   250 |          350 | 448350           |   62769     | 385581           |  52521    | 2013-12-01 00:00:00.000 |                 7 |           694 |           25585 | Government       | France                   | FR             | France            |
|       2659   |                   250 |          300 | 797700           |   71793     | 725907           |  61157    | 2014-02-01 00:00:00.000 |                24 |           394 |           13979 | Small Business   | Germany                  | DE             | Germany           |
|       1362   |                    10 |          350 | 476700           |   38136     | 438564           |  84444    | 2014-12-01 00:00:00.000 |                12 |           309 |           10202 | Government       | Mexico                   | MX             | Mexico            |
|        923   |                     3 |          350 | 323050           |   41996.5   | 281054           |  41073.5  | 2014-03-01 00:00:00.000 |                 1 |           628 |           16934 | Government       | Canada                   | CA             | Canada            |
|       1491   |                   250 |            7 |  10437           |    1252.44  |   9184.56        |   1729.56 | 2014-03-01 00:00:00.000 |                 7 |           691 |           25153 | Government       | France                   | FR             | France            |
|       1094   |                     3 |          300 | 328200           |   29538     | 298662           |  25162    | 2014-06-01 00:00:00.000 |                18 |           225 |           16202 | Small Business   | Canada                   | CA             | Canada            |
|       2156   |                     3 |          125 | 269500           |   32340     | 237160           | -21560    | 2014-10-01 00:00:00.000 |                23 |           505 |           16782 | Enterprise       | Mexico                   | MX             | Mexico            |
|       2150   |                    10 |          300 | 645000           |   77400     | 567600           |  30100    | 2014-11-01 00:00:00.000 |                10 |           642 |           20060 | Small Business   | Mexico                   | MX             | Mexico            |
|       1094   |                    10 |          300 | 328200           |   29538     | 298662           |  25162    | 2014-06-01 00:00:00.000 |                18 |           446 |           10498 | Small Business   | Canada                   | CA             | Canada            |
|       2385   |                    10 |          125 | 298125           |   14906.2   | 283219           |  -2981.25 | 2014-03-01 00:00:00.000 |                16 |           447 |            7249 | Enterprise       | France                   | FR             | France            |
|       4492.5 |                    10 |            7 |  31447.5         |     314.475 |  31133           |   8670.52 | 2014-04-01 00:00:00.000 |                13 |            83 |             750 | Government       | United States of America | US             | USA               |
|       1023   |                     3 |          125 | 127875           |   17902.5   | 109972           | -12787.5  | 2013-09-01 00:00:00.000 |                16 |           613 |           17192 | Enterprise       | France                   | FR             | France            |
|        808   |                   250 |          300 | 242400           |   19392     | 223008           |  21008    | 2013-12-01 00:00:00.000 |                22 |           389 |           13863 | Small Business   | United States of America | US             | USA               |
|       2663   |                    10 |           20 |  53260           |    2663     |  50597           |  23967    | 2014-12-01 00:00:00.000 |                13 |           374 |            7943 | Government       | United States of America | US             | USA               |
|       2340   |                     5 |           12 |  28080           |    1965.6   |  26114.4         |  19094.4  | 2014-01-01 00:00:00.000 |                25 |           305 |            6133 | Channel Partners | Mexico                   | MX             | Mexico            |
|       1956   |                   250 |           12 |  23472           |    2112.48  |  21359.5         |  15491.5  | 2014-01-01 00:00:00.000 |                14 |           263 |           13919 | Channel Partners | United States of America | US             | USA               |
|        689   |                    10 |          300 | 206700           |    6201     | 200499           |  28249    | 2014-06-01 00:00:00.000 |                24 |           162 |            2231 | Small Business   | Germany                  | DE             | Germany           |
|        952   |                   120 |          125 | 119000           |    7140     | 111860           |  -2380    | 2014-02-01 00:00:00.000 |                 9 |           261 |           11513 | Enterprise       | Canada                   | CA             | Canada            |
|       2565   |                    10 |          300 | 769500           |   69255     | 700245           |  58995    | 2014-01-01 00:00:00.000 |                10 |           382 |           10291 | Small Business   | Mexico                   | MX             | Mexico            |
|       3793.5 |                   120 |          300 |      1.13805e+06 |  102424     |      1.03563e+06 |  87250.5  | 2014-07-01 00:00:00.000 |                18 |           345 |           12674 | Small Business   | Canada                   | CA             | Canada            |
|        905   |                   120 |           20 |  18100           |    2172     |  15928           |   6878    | 2014-10-01 00:00:00.000 |                12 |           560 |           23637 | Government       | Mexico                   | MX             | Mexico            |
|       1984   |                    10 |           15 |  29760           |    3273.6   |  26486.4         |   6646.4  | 2014-08-01 00:00:00.000 |                 5 |           556 |           19222 | Midmarket        | Mexico                   | MX             | Mexico            |
|       2565   |                    10 |          300 | 769500           |   69255     | 700245           |  58995    | 2014-01-01 00:00:00.000 |                10 |           421 |           10300 | Small Business   | Mexico                   | MX             | Mexico            |
|       1122   |                    10 |           20 |  22440           |    2468.4   |  19971.6         |   8751.6  | 2014-03-01 00:00:00.000 |                12 |           466 |           18858 | Government       | Mexico                   | MX             | Mexico            |
|       1116   |                     3 |           12 |  13392           |     669.6   |  12722.4         |   9374.4  | 2014-02-01 00:00:00.000 |                 8 |           278 |           15523 | Channel Partners | Germany                  | DE             | Germany           |



label: Demographic Key
Segment
Demographic Key
Country
Demographic Key
Country Code
Demographic Key
Country (Short)
output: {"Functional-Dependency": [["Demographic Key", "Segment"], ["Demographic Key", "Country"], ["Demographic Key", "Country Code"], ["Demographic Key", "Country (Short)"]]}
labeled_fds: Demographic Key
Segment
Demographic Key
Country
Demographic Key
Country Code
Demographic Key
Country (Short)
Units Sold
Sales
Units Sold
Segment
Gross Sales
Discounts
Gross Sales
Sales
Gross Sales
Profit
Gross Sales
Date
Gross Sales
Demographic Key
Gross Sales
Country
Gross Sales
Country (Short)
Discounts
Sale Price
Discounts
Sales
Discounts
Date
Discounts
Demographic Key
Discounts
Segment
Sales
Units Sold
Sales
Sale Price
Sales
Gross Sales
Sales
Discounts
Sales
Profit
Sales
Date
Sales
Demographic Key
Sales
Segment
Sales
Country
Sales
Country Code
Sales
Country (Short)
Profit
Units Sold
Profit
Gross Sales
Profit
Discounts
Profit
Sales
Profit
Demographic Key
Profit
Country
Profit
Country Code
Profit
Country (Short)
source: $MMTU_HOME/resources/Relationship-finding/FD/248031556