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:
| Segment          | Country                  | Product   | Discount Band   |   Units Sold |   Manufacturing Price |   Sale Price |   Gross Sales |   Discounts |     Sales |     COGS |    Profit | Date                    |   Month Number | Month Name   |   Year_many |   Year | Quarter   |   QuarterNo | Month   |   MonthNo |   Weekday |   WeekdayNo | MonthYear   |
|:-----------------|:-------------------------|:----------|:----------------|-------------:|----------------------:|-------------:|--------------:|------------:|----------:|---------:|----------:|:------------------------|---------------:|:-------------|------------:|-------:|:----------|------------:|:--------|----------:|----------:|------------:|:------------|
| Government       | Germany                  | Carretera | Medium          |        663   |                     3 |           20 |       13260   |    1193.4   |  12066.6  |   6630   |   5436.6  | 2014-05-01 00:00:00.000 |              5 | May          |        2014 |   2014 | Q2        |           2 | May     |         5 |         5 |           5 | 05 2014     |
| Small Business   | France                   | Amarilla  | High            |        853   |                   260 |          300 |      255900   |   25590     | 230310    | 213250   |  17060    | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Midmarket        | Mexico                   | Velo      | Medium          |       2861   |                   120 |           15 |       42915   |    2145.75  |  40769.2  |  28610   |  12159.2  | 2014-01-01 00:00:00.000 |              1 | January      |        2014 |   2014 | Q1        |           1 | Jan     |         1 |         4 |           4 | 01 2014     |
| Government       | Germany                  | Amarilla  | Medium          |       1520   |                   260 |           20 |       30400   |    2432     |  27968    |  15200   |  12768    | 2014-11-01 00:00:00.000 |             11 | November     |        2014 |   2014 | Q4        |           4 | Nov     |        11 |         7 |           7 | 11 2014     |
| Channel Partners | United States of America | Amarilla  | None            |       1953   |                   260 |           12 |       23436   |       0     |  23436    |   5859   |  17577    | 2014-04-01 00:00:00.000 |              4 | April        |        2014 |   2014 | Q2        |           2 | Apr     |         4 |         3 |           3 | 04 2014     |
| Government       | United States of America | Paseo     | Low             |       4492.5 |                    10 |            7 |       31447.5 |     314.475 |  31133    |  22462.5 |   8670.52 | 2014-04-01 00:00:00.000 |              4 | April        |        2014 |   2014 | Q2        |           2 | Apr     |         4 |         3 |           3 | 04 2014     |
| Government       | United States of America | Paseo     | Medium          |       2327   |                    10 |            7 |       16289   |     814.45  |  15474.5  |  11635   |   3839.55 | 2014-05-01 00:00:00.000 |              5 | May          |        2014 |   2014 | Q2        |           2 | May     |         5 |         5 |           5 | 05 2014     |
| Government       | United States of America | Montana   | High            |       2996   |                     5 |            7 |       20972   |    2936.08  |  18035.9  |  14980   |   3055.92 | 2013-10-01 00:00:00.000 |             10 | October      |        2013 |   2013 | Q4        |           4 | Oct     |        10 |         3 |           3 | 10 2013     |
| Midmarket        | France                   | Carretera | None            |       2178   |                     3 |           15 |       32670   |       0     |  32670    |  21780   |  10890    | 2014-06-01 00:00:00.000 |              6 | June         |        2014 |   2014 | Q2        |           2 | Jun     |         6 |         1 |           1 | 06 2014     |
| Enterprise       | Canada                   | VTT       | Low             |       2729   |                   250 |          125 |      341125   |    6822.5   | 334302    | 327480   |   6822.5  | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Channel Partners | Canada                   | Paseo     | High            |       4026   |                    10 |           12 |       48312   |    5314.32  |  42997.7  |  12078   |  30919.7  | 2014-07-01 00:00:00.000 |              7 | July         |        2014 |   2014 | Q3        |           3 | Jul     |         7 |         3 |           3 | 07 2014     |
| Channel Partners | France                   | Carretera | Low             |       2671   |                     3 |           12 |       32052   |     320.52  |  31731.5  |   8013   |  23718.5  | 2014-09-01 00:00:00.000 |              9 | September    |        2014 |   2014 | Q3        |           3 | Sep     |         9 |         2 |           2 | 09 2014     |
| Government       | France                   | VTT       | High            |        293   |                   250 |           20 |        5860   |     879     |   4981    |   2930   |   2051    | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Government       | Mexico                   | Paseo     | High            |       1197   |                    10 |          350 |      418950   |   50274     | 368676    | 311220   |  57456    | 2014-11-01 00:00:00.000 |             11 | November     |        2014 |   2014 | Q4        |           4 | Nov     |        11 |         7 |           7 | 11 2014     |
| Midmarket        | Germany                  | Paseo     | Low             |        747   |                    10 |           15 |       11205   |     112.05  |  11093    |   7470   |   3622.95 | 2014-09-01 00:00:00.000 |              9 | September    |        2014 |   2014 | Q3        |           3 | Sep     |         9 |         2 |           2 | 09 2014     |
| Enterprise       | Germany                  | Carretera | High            |       2767   |                     3 |          125 |      345875   |   51881.2   | 293994    | 332040   | -38046.2  | 2014-08-01 00:00:00.000 |              8 | August       |        2014 |   2014 | Q3        |           3 | Aug     |         8 |         6 |           6 | 08 2014     |
| Small Business   | Canada                   | VTT       | Medium          |       2134   |                   250 |          300 |      640200   |   51216     | 588984    | 533500   |  55484    | 2014-09-01 00:00:00.000 |              9 | September    |        2014 |   2014 | Q3        |           3 | Sep     |         9 |         2 |           2 | 09 2014     |
| Channel Partners | Canada                   | Carretera | High            |       1937   |                     3 |           12 |       23244   |    2556.84  |  20687.2  |   5811   |  14876.2  | 2014-02-01 00:00:00.000 |              2 | February     |        2014 |   2014 | Q1        |           1 | Feb     |         2 |         7 |           7 | 02 2014     |
| Midmarket        | France                   | Paseo     | Low             |       2261   |                    10 |           15 |       33915   |    1356.6   |  32558.4  |  22610   |   9948.4  | 2013-12-01 00:00:00.000 |             12 | December     |        2013 |   2013 | Q4        |           4 | Dec     |        12 |         1 |           1 | 12 2013     |
| Midmarket        | France                   | Amarilla  | High            |       2072   |                   260 |           15 |       31080   |    3108     |  27972    |  20720   |   7252    | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Small Business   | Canada                   | Amarilla  | Low             |       1916   |                   260 |          300 |      574800   |   11496     | 563304    | 479000   |  84304    | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Enterprise       | France                   | VTT       | Low             |        787   |                   250 |          125 |       98375   |     983.75  |  97391.2  |  94440   |   2951.25 | 2014-06-01 00:00:00.000 |              6 | June         |        2014 |   2014 | Q2        |           2 | Jun     |         6 |         1 |           1 | 06 2014     |
| Small Business   | Canada                   | Velo      | High            |        269   |                   120 |          300 |       80700   |   11298     |  69402    |  67250   |   2152    | 2013-10-01 00:00:00.000 |             10 | October      |        2013 |   2013 | Q4        |           4 | Oct     |        10 |         3 |           3 | 10 2013     |
| Government       | Germany                  | VTT       | High            |        280   |                   250 |            7 |        1960   |     274.4   |   1685.6  |   1400   |    285.6  | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Government       | France                   | Velo      | High            |       1190   |                   120 |            7 |        8330   |    1082.9   |   7247.1  |   5950   |   1297.1  | 2014-06-01 00:00:00.000 |              6 | June         |        2014 |   2014 | Q2        |           2 | Jun     |         6 |         1 |           1 | 06 2014     |
| Midmarket        | Mexico                   | Montana   | Low             |       2214   |                     5 |           15 |       33210   |     332.1   |  32877.9  |  22140   |  10737.9  | 2014-03-01 00:00:00.000 |              3 | March        |        2014 |   2014 | Q1        |           1 | Mar     |         3 |         7 |           7 | 03 2014     |
| Enterprise       | United States of America | Carretera | High            |       3445.5 |                     3 |          125 |      430688   |   43068.8   | 387619    | 413460   | -25841.2  | 2014-04-01 00:00:00.000 |              4 | April        |        2014 |   2014 | Q2        |           2 | Apr     |         4 |         3 |           3 | 04 2014     |
| Government       | France                   | VTT       | Medium          |        574.5 |                   250 |          350 |      201075   |   16086     | 184989    | 149370   |  35619    | 2014-04-01 00:00:00.000 |              4 | April        |        2014 |   2014 | Q2        |           2 | Apr     |         4 |         3 |           3 | 04 2014     |
| Government       | Canada                   | VTT       | Medium          |       1582   |                   250 |            7 |       11074   |     775.18  |  10298.8  |   7910   |   2388.82 | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Government       | Canada                   | Paseo     | Low             |       4251   |                    10 |            7 |       29757   |    1190.28  |  28566.7  |  21255   |   7311.72 | 2014-01-01 00:00:00.000 |              1 | January      |        2014 |   2014 | Q1        |           1 | Jan     |         1 |         4 |           4 | 01 2014     |
| Government       | United States of America | Carretera | Medium          |       1117.5 |                     3 |           20 |       22350   |    1341     |  21009    |  11175   |   9834    | 2014-01-01 00:00:00.000 |              1 | January      |        2014 |   2014 | Q1        |           1 | Jan     |         1 |         4 |           4 | 01 2014     |
| Channel Partners | Mexico                   | Montana   | High            |        604   |                     5 |           12 |        7248   |     942.24  |   6305.76 |   1812   |   4493.76 | 2014-06-01 00:00:00.000 |              6 | June         |        2014 |   2014 | Q2        |           2 | Jun     |         6 |         1 |           1 | 06 2014     |
| Government       | France                   | Paseo     | Medium          |       1757   |                    10 |           20 |       35140   |    2108.4   |  33031.6  |  17570   |  15461.6  | 2013-10-01 00:00:00.000 |             10 | October      |        2013 |   2013 | Q4        |           4 | Oct     |        10 |         3 |           3 | 10 2013     |
| Government       | United States of America | Montana   | Low             |       1566   |                     5 |           20 |       31320   |     626.4   |  30693.6  |  15660   |  15033.6  | 2014-10-01 00:00:00.000 |             10 | October      |        2014 |   2014 | Q4        |           4 | Oct     |        10 |         4 |           4 | 10 2014     |
| Government       | Germany                  | Paseo     | High            |       1531   |                    10 |           20 |       30620   |    3674.4   |  26945.6  |  15310   |  11635.6  | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Small Business   | France                   | VTT       | Medium          |        959   |                   250 |          300 |      287700   |   20139     | 267561    | 239750   |  27811    | 2014-02-01 00:00:00.000 |              2 | February     |        2014 |   2014 | Q1        |           1 | Feb     |         2 |         7 |           7 | 02 2014     |
| Small Business   | United States of America | VTT       | High            |       2541   |                   250 |          300 |      762300   |  106722     | 655578    | 635250   |  20328    | 2014-08-01 00:00:00.000 |              8 | August       |        2014 |   2014 | Q3        |           3 | Aug     |         8 |         6 |           6 | 08 2014     |
| Midmarket        | Germany                  | Velo      | High            |        510   |                   120 |           15 |        7650   |     765     |   6885    |   5100   |   1785    | 2014-04-01 00:00:00.000 |              4 | April        |        2014 |   2014 | Q2        |           2 | Apr     |         4 |         3 |           3 | 04 2014     |
| Enterprise       | Mexico                   | Amarilla  | High            |        947   |                   260 |          125 |      118375   |   13021.2   | 105354    | 113640   |  -8286.25 | 2013-09-01 00:00:00.000 |              9 | September    |        2013 |   2013 | Q3        |           3 | Sep     |         9 |         1 |           1 | 09 2013     |
| Government       | United States of America | VTT       | Medium          |       2663   |                   250 |           20 |       53260   |    2663     |  50597    |  26630   |  23967    | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Government       | Mexico                   | Paseo     | High            |       1715   |                    10 |           20 |       34300   |    4116     |  30184    |  17150   |  13034    | 2013-10-01 00:00:00.000 |             10 | October      |        2013 |   2013 | Q4        |           4 | Oct     |        10 |         3 |           3 | 10 2013     |
| Government       | Canada                   | Paseo     | High            |       2104.5 |                    10 |          350 |      736575   |   81023.2   | 655552    | 547170   | 108382    | 2014-07-01 00:00:00.000 |              7 | July         |        2014 |   2014 | Q3        |           3 | Jul     |         7 |         3 |           3 | 07 2014     |
| Government       | Germany                  | Paseo     | Medium          |       1095   |                    10 |            7 |        7665   |     613.2   |   7051.8  |   5475   |   1576.8  | 2014-05-01 00:00:00.000 |              5 | May          |        2014 |   2014 | Q2        |           2 | May     |         5 |         5 |           5 | 05 2014     |
| Channel Partners | United States of America | Velo      | High            |        914   |                   120 |           12 |       10968   |    1645.2   |   9322.8  |   2742   |   6580.8  | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Small Business   | Canada                   | Paseo     | Medium          |       1702   |                    10 |          300 |      510600   |   35742     | 474858    | 425500   |  49358    | 2014-05-01 00:00:00.000 |              5 | May          |        2014 |   2014 | Q2        |           2 | May     |         5 |         5 |           5 | 05 2014     |
| Enterprise       | United States of America | Paseo     | Low             |        727   |                    10 |          125 |       90875   |     908.75  |  89966.2  |  87240   |   2726.25 | 2014-06-01 00:00:00.000 |              6 | June         |        2014 |   2014 | Q2        |           2 | Jun     |         6 |         1 |           1 | 06 2014     |
| Enterprise       | United States of America | Paseo     | Medium          |       2797   |                    10 |          125 |      349625   |   31466.2   | 318159    | 335640   | -17481.2  | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Channel Partners | France                   | Velo      | Low             |       1055   |                   120 |           12 |       12660   |     253.2   |  12406.8  |   3165   |   9241.8  | 2014-12-01 00:00:00.000 |             12 | December     |        2014 |   2014 | Q4        |           4 | Dec     |        12 |         2 |           2 | 12 2014     |
| Government       | Mexico                   | Paseo     | High            |        886   |                    10 |          350 |      310100   |   37212     | 272888    | 230360   |  42528    | 2014-06-01 00:00:00.000 |              6 | June         |        2014 |   2014 | Q2        |           2 | Jun     |         6 |         1 |           1 | 06 2014     |
| Government       | Canada                   | Montana   | Medium          |        708   |                     5 |           20 |       14160   |    1132.8   |  13027.2  |   7080   |   5947.2  | 2014-06-01 00:00:00.000 |              6 | June         |        2014 |   2014 | Q2        |           2 | Jun     |         6 |         1 |           1 | 06 2014     |



label: Date
Year
Date
Quarter
Date
QuarterNo
Date
Month
Date
MonthNo
Date
Weekday
Date
WeekdayNo
Date
MonthYear
output: {"Functional-Dependency": [["Date", "Year"], ["Date", "Quarter"], ["Date", "QuarterNo"], ["Date", "Month"], ["Date", "MonthNo"], ["Date", "Weekday"], ["Date", "WeekdayNo"], ["Date", "MonthYear"]]}
labeled_fds: Date
Year
Date
Quarter
Date
QuarterNo
Date
Month
Date
MonthNo
Date
Weekday
Date
WeekdayNo
Date
MonthYear
Units Sold
 Sales
Units Sold
Year
Units Sold
QuarterNo
Units Sold
WeekdayNo
Gross Sales
Discount Band
Gross Sales
Discounts
Gross Sales
 Sales
Gross Sales
Date
Gross Sales
Year_many
Gross Sales
Year
Gross Sales
Quarter
Gross Sales
QuarterNo
Gross Sales
Month
Gross Sales
MonthNo
Gross Sales
Weekday
Gross Sales
MonthYear
Discounts
Discount Band
Discounts
Year_many
Discounts
Year
 Sales
Segment
 Sales
Country
 Sales
Discount Band
 Sales
Units Sold
 Sales
Sale Price
 Sales
Gross Sales
 Sales
Discounts
 Sales
COGS
 Sales
Profit
 Sales
Date
 Sales
Month Number
 Sales
Month Name
 Sales
Year_many
 Sales
Year
 Sales
Month
 Sales
MonthNo
 Sales
Weekday
 Sales
WeekdayNo
 Sales
MonthYear
COGS
Segment
COGS
Country
COGS
Discount Band
COGS
Units Sold
COGS
Sale Price
COGS
Gross Sales
COGS
Discounts
COGS
 Sales
COGS
Date
COGS
Month Number
COGS
Year_many
COGS
Year
COGS
Quarter
COGS
QuarterNo
COGS
WeekdayNo
Profit
Country
Profit
Units Sold
Profit
Gross Sales
Profit
Discounts
Profit
 Sales
Profit
Date
Profit
Month Number
Profit
Month Name
Profit
Quarter
Profit
QuarterNo
Profit
Month
Profit
MonthNo
Profit
Weekday
Profit
WeekdayNo
source: $MMTU_HOME/resources/Relationship-finding/FD/707547057