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:
| Discount Band   | Units Sold   | Manufacturing Price   | Sale Price   | Gross Sales   | Discounts   |  Sales    | COGS     | Profit             | Date                    | SegmentID   | CountryID   | ProductID   | Month   | Quarter   | Month No   | Year   | End of Month            | Day name   | Weekend   | Start of Week           | Start of month          | Month (groups)   |
|:----------------|:-------------|:----------------------|:-------------|:--------------|:------------|:----------|:---------|:-------------------|:------------------------|:------------|:------------|:------------|:--------|:----------|:-----------|:-------|:------------------------|:-----------|:----------|:------------------------|:------------------------|:-----------------|
| None            | 2141.0       | 260.0                 | 12.0         | 25692.0       | 0.0         | 25692.0   | 6423.0   | 19269.0            | 2020-08-01 00:00:00.000 | 3.0         | 5.0         | 6.0         | Aug     | 3         | 8          | 2020   | 2020-08-31 00:00:00.000 | Saturday   | Y         | 2020-07-27 00:00:00.000 | 2020-08-01 00:00:00.000 | Other            |
| Medium          | 422.0        | 250.0                 | 350.0        | 147700.0      | 11816.0     | 135884.0  | 109720.0 | 26164.0            | 2020-08-01 00:00:00.000 | 1.0         | 2.0         | 5.0         | Aug     | 3         | 8          | 2020   | 2020-08-31 00:00:00.000 | Saturday   | Y         | 2020-07-27 00:00:00.000 | 2020-08-01 00:00:00.000 | Other            |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
| Medium          | 2992.0       | 10.0                  | 125.0        | 374000.0      | 18700.0     | 355300.0  | 359040.0 | -3740.0            | 2020-03-01 00:00:00.000 | 4.0         | 5.0         | 2.0         | Mar     | 1         | 3          | 2020   | 2020-03-31 00:00:00.000 | Sunday     | Y         | 2020-02-24 00:00:00.000 | 2020-03-01 00:00:00.000 | Other            |
| Medium          | 1496.0       | 120.0                 | 350.0        | 523600.0      | 31416.0     | 492184.0  | 388960.0 | 103224.0           | 2020-06-01 00:00:00.000 | 1.0         | 3.0         | 4.0         | Jun     | 2         | 6          | 2020   | 2020-06-30 00:00:00.000 | Monday     | N         | 2020-06-01 00:00:00.000 | 2020-06-01 00:00:00.000 | Other            |
| High            | 2529.0       | 250.0                 | 125.0        | 316125.0      | 31612.5     | 284512.5  | 303480.0 | -18967.5           | 2020-11-01 00:00:00.000 | 4.0         | 1.0         | 5.0         | Nov     | 4         | 11         | 2020   | 2020-11-30 00:00:00.000 | Sunday     | Y         | 2020-10-26 00:00:00.000 | 2020-11-01 00:00:00.000 | Dec & Nov & Oct  |
| High            | 2227.5       | 5.0                   | 350.0        | 779625.0      | 109147.5    | 670477.5  | 579150.0 | 91327.5            | 2020-01-01 00:00:00.000 | 1.0         | 1.0         | 3.0         | Jan     | 1         | 1          | 2020   | 2020-01-31 00:00:00.000 | Wednesday  | N         | 2019-12-30 00:00:00.000 | 2020-01-01 00:00:00.000 | Other            |
| Low             | 795.0        | 10.0                  | 125.0        | 99375.0       | 3975.0      | 95400.0   | 95400.0  | 0.0                | 2020-03-01 00:00:00.000 | 4.0         | 2.0         | 2.0         | Mar     | 1         | 3          | 2020   | 2020-03-31 00:00:00.000 | Sunday     | Y         | 2020-02-24 00:00:00.000 | 2020-03-01 00:00:00.000 | Other            |
| None            | 549.0        | 10.0                  | 15.0         | 8235.0        | 0.0         | 8235.0    | 5490.0   | 2745.0             | 2019-09-01 00:00:00.000 | 2.0         | 3.0         | 2.0         | Sep     | 3         | 9          | 2019   | 2019-09-30 00:00:00.000 | Sunday     | Y         | 2019-08-26 00:00:00.000 | 2019-09-01 00:00:00.000 | Other            |
| High            | 2767.0       | 3.0                   | 125.0        | 345875.0      | 51881.25    | 293993.75 | 332040.0 | -38046.25          | 2020-08-01 00:00:00.000 | 4.0         | 2.0         | 1.0         | Aug     | 3         | 8          | 2020   | 2020-08-31 00:00:00.000 | Saturday   | Y         | 2020-07-27 00:00:00.000 | 2020-08-01 00:00:00.000 | Other            |
| None            | 1006.0       | 120.0                 | 350.0        | 352100.0      | 0.0         | 352100.0  | 261560.0 | 90540.0            | 2020-06-01 00:00:00.000 | 1.0         | 2.0         | 4.0         | Jun     | 2         | 6          | 2020   | 2020-06-30 00:00:00.000 | Monday     | N         | 2020-06-01 00:00:00.000 | 2020-06-01 00:00:00.000 | Other            |
| High            | 3997.5       | 120.0                 | 15.0         | 59962.5       | 7795.125    | 52167.375 | 39975.0  | 12192.375          | 2020-01-01 00:00:00.000 | 2.0         | 3.0         | 4.0         | Jan     | 1         | 1          | 2020   | 2020-01-31 00:00:00.000 | Wednesday  | N         | 2019-12-30 00:00:00.000 | 2020-01-01 00:00:00.000 | Other            |
| High            | 2521.5       | 3.0                   | 20.0         | 50430.0       | 6051.6      | 44378.4   | 25215.0  | 19163.4            | 2020-01-01 00:00:00.000 | 1.0         | 3.0         | 1.0         | Jan     | 1         | 1          | 2020   | 2020-01-31 00:00:00.000 | Wednesday  | N         | 2019-12-30 00:00:00.000 | 2020-01-01 00:00:00.000 | Other            |
| High            | 655.0        | 120.0                 | 15.0         | 9825.0        | 1080.75     | 8744.25   | 6550.0   | 2194.25            | 2019-09-01 00:00:00.000 | 2.0         | 4.0         | 4.0         | Sep     | 3         | 9          | 2019   | 2019-09-30 00:00:00.000 | Sunday     | Y         | 2019-08-26 00:00:00.000 | 2019-09-01 00:00:00.000 | Other            |
| Medium          | 602.0        | 120.0                 | 350.0        | 210700.0      | 10535.0     | 200165.0  | 156520.0 | 43645.0            | 2020-06-01 00:00:00.000 | 1.0         | 5.0         | 4.0         | Jun     | 2         | 6          | 2020   | 2020-06-30 00:00:00.000 | Monday     | N         | 2020-06-01 00:00:00.000 | 2020-06-01 00:00:00.000 | Other            |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
| High            | 2665.0       | 120.0                 | 7.0          | 18655.0       | 1865.5      | 16789.5   | 13325.0  | 3464.5             | 2020-11-01 00:00:00.000 | 1.0         | 2.0         | 4.0         | Nov     | 4         | 11         | 2020   | 2020-11-30 00:00:00.000 | Sunday     | Y         | 2020-10-26 00:00:00.000 | 2020-11-01 00:00:00.000 | Dec & Nov & Oct  |
| Low             | 787.0        | 10.0                  | 125.0        | 98375.0       | 983.75      | 97391.25  | 94440.0  | 2951.25            | 2020-06-01 00:00:00.000 | 4.0         | 3.0         | 2.0         | Jun     | 2         | 6          | 2020   | 2020-06-30 00:00:00.000 | Monday     | N         | 2020-06-01 00:00:00.000 | 2020-06-01 00:00:00.000 | Other            |
| Medium          | 635.0        | 120.0                 | 300.0        | 190500.0      | 15240.0     | 175260.0  | 158750.0 | 16510.0            | 2020-12-01 00:00:00.000 | 5.0         | 4.0         | 4.0         | Dec     | 4         | 12         | 2020   | 2020-12-31 00:00:00.000 | Tuesday    | N         | 2020-11-30 00:00:00.000 | 2020-12-01 00:00:00.000 | Dec & Nov & Oct  |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
| High            | 2294.0       | 120.0                 | 300.0        | 688200.0      | 68820.0     | 619380.0  | 573500.0 | 45880.0            | 2019-10-01 00:00:00.000 | 5.0         | 5.0         | 4.0         | Oct     | 4         | 10         | 2019   | 2019-10-31 00:00:00.000 | Tuesday    | N         | 2019-09-30 00:00:00.000 | 2019-10-01 00:00:00.000 | Dec & Nov & Oct  |
| Medium          | 711.0        | 5.0                   | 15.0         | 10665.0       | 853.2       | 9811.8    | 7110.0   | 2701.7999999999997 | 2020-12-01 00:00:00.000 | 2.0         | 2.0         | 3.0         | Dec     | 4         | 12         | 2020   | 2020-12-31 00:00:00.000 | Tuesday    | N         | 2020-11-30 00:00:00.000 | 2020-12-01 00:00:00.000 | Dec & Nov & Oct  |
| High            | 388.0        | 5.0                   | 7.0          | 2716.0        | 380.24      | 2335.76   | 1940.0   | 395.76000000000016 | 2020-09-01 00:00:00.000 | 1.0         | 1.0         | 3.0         | Sep     | 3         | 9          | 2020   | 2020-09-30 00:00:00.000 | Tuesday    | N         | 2020-08-31 00:00:00.000 | 2020-09-01 00:00:00.000 | Other            |
| High            | 2579.0       | 3.0                   | 20.0         | 51580.0       | 7221.2      | 44358.8   | 25790.0  | 18568.800000000003 | 2020-04-01 00:00:00.000 | 1.0         | 4.0         | 1.0         | Apr     | 2         | 4          | 2020   | 2020-04-30 00:00:00.000 | Wednesday  | N         | 2020-03-30 00:00:00.000 | 2020-04-01 00:00:00.000 | Other            |
| High            | 1731.0       | 10.0                  | 7.0          | 12117.0       | 1696.38     | 10420.62  | 8655.0   | 1765.619999999999  | 2020-10-01 00:00:00.000 | 1.0         | 3.0         | 2.0         | Oct     | 4         | 10         | 2020   | 2020-10-31 00:00:00.000 | Thursday   | N         | 2020-09-28 00:00:00.000 | 2020-10-01 00:00:00.000 | Dec & Nov & Oct  |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
| Medium          | 521.0        | 3.0                   | 7.0          | 3647.0        | 328.23      | 3318.77   | 2605.0   | 713.77             | 2020-12-01 00:00:00.000 | 1.0         | 4.0         | 1.0         | Dec     | 4         | 12         | 2020   | 2020-12-31 00:00:00.000 | Tuesday    | N         | 2020-11-30 00:00:00.000 | 2020-12-01 00:00:00.000 | Dec & Nov & Oct  |
| Medium          | 727.0        | 3.0                   | 12.0         | 8724.0        | 610.68      | 8113.32   | 2181.0   | 5932.32            | 2020-02-01 00:00:00.000 | 3.0         | 4.0         | 1.0         | Feb     | 1         | 2          | 2020   | 2020-02-29 00:00:00.000 | Saturday   | Y         | 2020-01-27 00:00:00.000 | 2020-02-01 00:00:00.000 | Other            |
| High            | 1560.0       | 3.0                   | 15.0         | 23400.0       | 2574.0      | 20826.0   | 15600.0  | 5226.0             | 2019-11-01 00:00:00.000 | 2.0         | 1.0         | 1.0         | Nov     | 4         | 11         | 2019   | 2019-11-30 00:00:00.000 | Friday     | N         | 2019-10-28 00:00:00.000 | 2019-11-01 00:00:00.000 | Dec & Nov & Oct  |
| Medium          | 2861.0       | 120.0                 | 15.0         | 42915.0       | 2145.75     | 40769.25  | 28610.0  | 12159.25           | 2020-01-01 00:00:00.000 | 2.0         | 4.0         | 4.0         | Jan     | 1         | 1          | 2020   | 2020-01-31 00:00:00.000 | Wednesday  | N         | 2019-12-30 00:00:00.000 | 2020-01-01 00:00:00.000 | Other            |
| High            | 2661.0       | 5.0                   | 12.0         | 31932.0       | 3831.84     | 28100.16  | 7983.0   | 20117.16           | 2020-05-01 00:00:00.000 | 3.0         | 4.0         | 3.0         | May     | 2         | 5          | 2020   | 2020-05-31 00:00:00.000 | Friday     | N         | 2020-04-27 00:00:00.000 | 2020-05-01 00:00:00.000 | Other            |
| Low             | 1859.0       | 5.0                   | 300.0        | 557700.0      | 22308.0     | 535392.0  | 464750.0 | 70642.0            | 2020-08-01 00:00:00.000 | 5.0         | 2.0         | 3.0         | Aug     | 3         | 8          | 2020   | 2020-08-31 00:00:00.000 | Saturday   | Y         | 2020-07-27 00:00:00.000 | 2020-08-01 00:00:00.000 | Other            |
| High            | 3874.5       | 250.0                 | 15.0         | 58117.5       | 6974.1      | 51143.4   | 38745.0  | 12398.399999999998 | 2020-07-01 00:00:00.000 | 2.0         | 3.0         | 5.0         | Jul     | 3         | 7          | 2020   | 2020-07-31 00:00:00.000 | Wednesday  | N         | 2020-06-29 00:00:00.000 | 2020-07-01 00:00:00.000 | Other            |
| High            | 2954.0       | 250.0                 | 125.0        | 369250.0      | 55387.5     | 313862.5  | 354480.0 | -40617.5           | 2019-11-01 00:00:00.000 | 4.0         | 1.0         | 5.0         | Nov     | 4         | 11         | 2019   | 2019-11-30 00:00:00.000 | Friday     | N         | 2019-10-28 00:00:00.000 | 2019-11-01 00:00:00.000 | Dec & Nov & Oct  |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
| High            | 2222.0       | 10.0                  | 12.0         | 26664.0       | 3732.96     | 22931.04  | 6666.0   | 16265.04           | 2019-11-01 00:00:00.000 | 3.0         | 1.0         | 2.0         | Nov     | 4         | 11         | 2019   | 2019-11-30 00:00:00.000 | Friday     | N         | 2019-10-28 00:00:00.000 | 2019-11-01 00:00:00.000 | Dec & Nov & Oct  |
| High            | 873.0        | 10.0                  | 300.0        | 261900.0      | 28809.0     | 233091.0  | 218250.0 | 14841.0            | 2020-01-01 00:00:00.000 | 5.0         | 1.0         | 2.0         | Jan     | 1         | 1          | 2020   | 2020-01-31 00:00:00.000 | Wednesday  | N         | 2019-12-30 00:00:00.000 | 2020-01-01 00:00:00.000 | Other            |
| Medium          | 2907.0       | 120.0                 | 7.0          | 20349.0       | 1627.92     | 18721.08  | 14535.0  | 4186.080000000002  | 2020-06-01 00:00:00.000 | 1.0         | 5.0         | 4.0         | Jun     | 2         | 6          | 2020   | 2020-06-30 00:00:00.000 | Monday     | N         | 2020-06-01 00:00:00.000 | 2020-06-01 00:00:00.000 | Other            |
| Medium          | 598.0        | 120.0                 | 12.0         | 7176.0        | 574.08      | 6601.92   | 1794.0   | 4807.92            | 2020-03-01 00:00:00.000 | 3.0         | 1.0         | 4.0         | Mar     | 1         | 3          | 2020   | 2020-03-31 00:00:00.000 | Sunday     | Y         | 2020-02-24 00:00:00.000 | 2020-03-01 00:00:00.000 | Other            |
| None            | 1817.0       | 250.0                 | 20.0         | 36340.0       | 0.0         | 36340.0   | 18170.0  | 18170.0            | 2020-12-01 00:00:00.000 | 1.0         | 1.0         | 5.0         | Dec     | 4         | 12         | 2020   | 2020-12-31 00:00:00.000 | Tuesday    | N         | 2020-11-30 00:00:00.000 | 2020-12-01 00:00:00.000 | Dec & Nov & Oct  |
| None            | 921.0        | 5.0                   | 15.0         | 13815.0       | 0.0         | 13815.0   | 9210.0   | 4605.0             | 2020-03-01 00:00:00.000 | 2.0         | 2.0         | 3.0         | Mar     | 1         | 3          | 2020   | 2020-03-31 00:00:00.000 | Sunday     | Y         | 2020-02-24 00:00:00.000 | 2020-03-01 00:00:00.000 | Other            |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
| High            | 2294.0       | 250.0                 | 300.0        | 688200.0      | 68820.0     | 619380.0  | 573500.0 | 45880.0            | 2019-10-01 00:00:00.000 | 5.0         | 5.0         | 5.0         | Oct     | 4         | 10         | 2019   | 2019-10-31 00:00:00.000 | Tuesday    | N         | 2019-09-30 00:00:00.000 | 2019-10-01 00:00:00.000 | Dec & Nov & Oct  |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
| Medium          | 1403.0       | 5.0                   | 7.0          | 9821.0        | 589.26      | 9231.74   | 7015.0   | 2216.74            | 2019-10-01 00:00:00.000 | 1.0         | 3.0         | 3.0         | Oct     | 4         | 10         | 2019   | 2019-10-31 00:00:00.000 | Tuesday    | N         | 2019-09-30 00:00:00.000 | 2019-10-01 00:00:00.000 | Dec & Nov & Oct  |
|                 |              |                       |              |               |             |           |          |                    |                         |             |             |             |         |           |            |        |                         |            |           |                         |                         |                  |
| High            | 923.0        | 3.0                   | 350.0        | 323050.0      | 41996.5     | 281053.5  | 239980.0 | 41073.5            | 2020-03-01 00:00:00.000 | 1.0         | 1.0         | 1.0         | Mar     | 1         | 3          | 2020   | 2020-03-31 00:00:00.000 | Sunday     | Y         | 2020-02-24 00:00:00.000 | 2020-03-01 00:00:00.000 | Other            |



label: Date
Month
Date
Quarter
Date
Month No
Date
Year
Date
End of Month
Date
Day name
Date
Weekend
Date
Start of Week
Date
Start of month
Date
Month (groups)
output: {"Functional-Dependency": [["Date", "Month"], ["Date", "Quarter"], ["Date", "Month No"], ["Date", "Year"], ["Date", "End of Month"], ["Date", "Day name"], ["Date", "Weekend"], ["Date", "Start of Week"], ["Date", "Start of month"], ["Date", "Month (groups)"]]}
labeled_fds: Date
Month
Date
Quarter
Date
Month No
Date
Year
Date
End of Month
Date
Day name
Date
Weekend
Date
Start of Week
Date
Start of month
Date
Month (groups)
Units Sold
Discounts
Units Sold
COGS
Units Sold
Date
Units Sold
SegmentID
Units Sold
CountryID
Units Sold
Month
Units Sold
Quarter
Units Sold
End of Month
Units Sold
Weekend
Units Sold
Month (groups)
Gross Sales
Discount Band
Gross Sales
Manufacturing Price
Gross Sales
Profit
Gross Sales
Date
Gross Sales
CountryID
Gross Sales
Month
Gross Sales
Quarter
Gross Sales
Month No
Gross Sales
Year
Gross Sales
End of Month
Gross Sales
Day name
Gross Sales
Weekend
Gross Sales
Start of Week
Gross Sales
Start of month
Discounts
Discount Band
 Sales
Discount Band
 Sales
Units Sold
 Sales
Sale Price
 Sales
Gross Sales
 Sales
Discounts
 Sales
COGS
 Sales
Profit
 Sales
Date
 Sales
SegmentID
 Sales
CountryID
 Sales
ProductID
 Sales
Month
 Sales
Month No
 Sales
Year
 Sales
End of Month
 Sales
Start of Week
 Sales
Start of month
COGS
Discount Band
COGS
Units Sold
COGS
Sale Price
COGS
Gross Sales
COGS
 Sales
COGS
Profit
COGS
Date
COGS
SegmentID
COGS
CountryID
COGS
ProductID
COGS
Month
COGS
Quarter
COGS
Month No
COGS
Year
COGS
End of Month
COGS
Day name
COGS
Weekend
COGS
Start of Week
COGS
Start of month
Profit
Units Sold
Profit
Gross Sales
Profit
Discounts
Profit
 Sales
Profit
COGS
Profit
Date
Profit
CountryID
Profit
Month
Profit
Quarter
Profit
Month No
Profit
End of Month
Profit
Day name
Profit
Weekend
Profit
Start of Week
Profit
Start of month
Profit
Month (groups)
source: $MMTU_HOME/resources/Relationship-finding/FD/125703744