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:
| Province/State         | Country/Region       |      Lat |      Long | Date                    |   Value |   DateAsInteger |   Year | YearMonth   | YearMonthNum   |   Last |
|:-----------------------|:---------------------|---------:|----------:|:------------------------|--------:|----------------:|-------:|:------------|:---------------|-------:|
| Nassau, FL             | US                   |  30.5927 |  -81.8224 | 2020-02-27 00:00:00.000 |       0 |        20200227 |   2020 | 2020-Feb    | 2020-02        |    891 |
|                        | Spain                |  40      |   -4      | 2020-02-03 00:00:00.000 |       0 |        20200203 |   2020 | 2020-Feb    | 2020-02        |    915 |
| Floyd, GA              | US                   |  37.5455 |  -82.7779 | 2020-02-28 00:00:00.000 |       0 |        20200228 |   2020 | 2020-Feb    | 2020-02        |    890 |
| Guizhou                | China                |  26.8154 |  106.875  | 2020-02-07 00:00:00.000 |       6 |        20200207 |   2020 | 2020-Feb    | 2020-02        |    911 |
| Essex, MA              | US                   |  42.632  |  -70.7829 | 2020-02-07 00:00:00.000 |       0 |        20200207 |   2020 | 2020-Feb    | 2020-02        |    911 |
|                        | Indonesia            |  -0.7893 |  113.921  | 2020-02-16 00:00:00.000 |       0 |        20200216 |   2020 | 2020-Feb    | 2020-02        |    902 |
| Maricopa County, AZ    | US                   |  33.2918 | -112.429  | 2020-02-27 00:00:00.000 |       1 |        20200227 |   2020 | 2020-Feb    | 2020-02        |    891 |
|                        | Lithuania            |  55.1694 |   23.8813 | 2020-01-31 00:00:00.000 |       0 |        20200131 |   2020 | 2020-Jan    | 2020-01        |    918 |
| Montgomery, TX         | US                   |  30.3883 |  -95.6963 | 2020-03-09 00:00:00.000 |       0 |        20200309 |   2020 | 2020-Mar    | 2020-03        |    880 |
| New Brunswick          | Canada               |  46.5653 |  -66.4619 | 2020-02-20 00:00:00.000 |       0 |        20200220 |   2020 | 2020-Feb    | 2020-02        |    898 |
|                        | Georgia              |  42.3154 |   43.3569 | 2020-03-08 00:00:00.000 |       0 |        20200308 |   2020 | 2020-Mar    | 2020-03        |    881 |
| New Castle, DE         | US                   |  39.5393 |  -75.6674 | 2020-02-18 00:00:00.000 |       0 |        20200218 |   2020 | 2020-Feb    | 2020-02        |    900 |
| Snohomish County, WA   | US                   |  48.033  | -121.834  | 2020-03-07 00:00:00.000 |       0 |        20200307 |   2020 | 2020-Mar    | 2020-03        |    882 |
| Gansu                  | China                |  37.8099 |  101.058  | 2020-02-26 00:00:00.000 |      81 |        20200226 |   2020 | 2020-Feb    | 2020-02        |    892 |
| Gibraltar              | United Kingdom       |  36.1408 |   -5.3536 | 2020-01-27 00:00:00.000 |       0 |        20200127 |   2020 | 2020-Jan    | 2020-01        |    922 |
|                        | Qatar                |  25.3548 |   51.1839 | 2020-02-13 00:00:00.000 |       0 |        20200213 |   2020 | 2020-Feb    | 2020-02        |    905 |
|                        | Philippines          |  13      |  122      | 2020-02-05 00:00:00.000 |       0 |        20200205 |   2020 | 2020-Feb    | 2020-02        |    913 |
| Gibraltar              | United Kingdom       |  36.1408 |   -5.3536 | 2020-01-28 00:00:00.000 |       0 |        20200128 |   2020 | 2020-Jan    | 2020-01        |    921 |
|                        | Greece               |  39.0742 |   21.8243 | 2020-02-04 00:00:00.000 |       0 |        20200204 |   2020 | 2020-Feb    | 2020-02        |    914 |
| Thurston, WA           | US                   |  46.8646 | -122.77   | 2020-03-13 00:00:00.000 |       0 |        20200313 |   2020 | 2020-Mar    | 2020-03        |    876 |
|                        | Martinique           |  14.6415 |  -61.0242 | 2020-02-25 00:00:00.000 |       0 |        20200225 |   2020 | 2020-Feb    | 2020-02        |    893 |
| Jackson County, OR     | US                   |  42.3345 | -122.765  | 2020-02-05 00:00:00.000 |       0 |        20200205 |   2020 | 2020-Feb    | 2020-02        |    913 |
| Beijing                | China                |  40.1824 |  116.414  | 2020-01-29 00:00:00.000 |       4 |        20200129 |   2020 | 2020-Jan    | 2020-01        |    920 |
| Northern Territory     | Australia            | -12.4634 |  130.846  | 2020-03-05 00:00:00.000 |       0 |        20200305 |   2020 | 2020-Mar    | 2020-03        |    884 |
| Xinjiang               | China                |  41.1129 |   85.2401 | 2020-02-29 00:00:00.000 |      62 |        20200229 |   2020 | 2020-Feb    | 2020-02        |    889 |
| South Dakota           | US                   |  44.2998 |  -99.4388 | 2020-02-25 00:00:00.000 |       0 |        20200225 |   2020 | 2020-Feb    | 2020-02        |    893 |
|                        | Guyana               |   5      |  -58.75   | 2020-01-30 00:00:00.000 |       0 |        20200130 |   2020 | 2020-Jan    | 2020-01        |    919 |
|                        | Morocco              |  31.7917 |   -7.0926 | 2020-02-01 00:00:00.000 |       0 |        20200201 |   2020 | 2020-Feb    | 2020-02        |    917 |
| Wisconsin              | US                   |  44.2685 |  -89.6165 | 2020-02-12 00:00:00.000 |       0 |        20200212 |   2020 | 2020-Feb    | 2020-02        |    906 |
| Fort Bend County, TX   | US                   |  29.5693 |  -95.8143 | 2020-02-04 00:00:00.000 |       0 |        20200204 |   2020 | 2020-Feb    | 2020-02        |    914 |
| Bennington County, VT  | US                   |  43.0279 |  -73.135  | 2020-02-20 00:00:00.000 |       0 |        20200220 |   2020 | 2020-Feb    | 2020-02        |    898 |
|                        | Andorra              |  42.5063 |    1.5218 | 2020-01-27 00:00:00.000 |       0 |        20200127 |   2020 | 2020-Jan    | 2020-01        |    922 |
| Maine                  | US                   |  44.6939 |  -69.3819 | 2020-01-31 00:00:00.000 |       0 |        20200131 |   2020 | 2020-Jan    | 2020-01        |    918 |
|                        | Kazakhstan           |  48.0196 |   66.9237 | 2020-03-06 00:00:00.000 |       0 |        20200306 |   2020 | 2020-Mar    | 2020-03        |    883 |
|                        | Nigeria              |   9.082  |    8.6753 | 2020-03-05 00:00:00.000 |       0 |        20200305 |   2020 | 2020-Mar    | 2020-03        |    884 |
| Cherokee County, GA    | US                   |  34.2515 |  -84.4803 | 2020-02-27 00:00:00.000 |       0 |        20200227 |   2020 | 2020-Feb    | 2020-02        |    891 |
| Napa, CA               | US                   |  38.5025 | -122.265  | 2020-02-29 00:00:00.000 |       0 |        20200229 |   2020 | 2020-Feb    | 2020-02        |    889 |
| Spartanburg County, SC | US                   |  34.8606 |  -81.9535 | 2020-01-28 00:00:00.000 |       0 |        20200128 |   2020 | 2020-Jan    | 2020-01        |    921 |
| Wyoming                | US                   |  42.756  | -107.302  | 2020-02-05 00:00:00.000 |       0 |        20200205 |   2020 | 2020-Feb    | 2020-02        |    913 |
| Victoria               | Australia            | -37.8136 |  144.963  | 2020-02-29 00:00:00.000 |       4 |        20200229 |   2020 | 2020-Feb    | 2020-02        |    889 |
|                        | United Arab Emirates |  24      |   54      | 2020-03-10 00:00:00.000 |      12 |        20200310 |   2020 | 2020-Mar    | 2020-03        |    879 |
|                        | Latvia               |  56.8796 |   24.6032 | 2020-02-26 00:00:00.000 |       0 |        20200226 |   2020 | 2020-Feb    | 2020-02        |    892 |
| Cobb County, GA        | US                   |  33.8999 |  -84.5641 | 2020-02-03 00:00:00.000 |       0 |        20200203 |   2020 | 2020-Feb    | 2020-02        |    915 |
|                        | Senegal              |  14.4974 |  -14.4524 | 2020-01-31 00:00:00.000 |       0 |        20200131 |   2020 | 2020-Jan    | 2020-01        |    918 |
| Alameda County, CA     | US                   |  37.6017 | -121.719  | 2020-02-16 00:00:00.000 |       0 |        20200216 |   2020 | 2020-Feb    | 2020-02        |    902 |
| Harford County, MD     | US                   |  39.5839 |  -76.3637 | 2020-02-18 00:00:00.000 |       0 |        20200218 |   2020 | 2020-Feb    | 2020-02        |    900 |
| Nebraska               | US                   |  41.1254 |  -98.2681 | 2020-02-07 00:00:00.000 |       0 |        20200207 |   2020 | 2020-Feb    | 2020-02        |    911 |
| Calaveras, CA          | US                   |  38.196  | -120.68   | 2020-02-07 00:00:00.000 |       0 |        20200207 |   2020 | 2020-Feb    | 2020-02        |    911 |
| Marin, CA              | US                   |  38.0834 | -122.763  | 2020-02-29 00:00:00.000 |       0 |        20200229 |   2020 | 2020-Feb    | 2020-02        |    889 |
| Grafton County, NH     | US                   |  43.9088 |  -71.826  | 2020-03-01 00:00:00.000 |       0 |        20200301 |   2020 | 2020-Mar    | 2020-03        |    888 |



label: Date
DateAsInteger
Date
Year
Date
YearMonth
Date
YearMonthNum
Date
Last
output: {"Functional-Dependency": [["Date", "DateAsInteger"], ["Date", "Year"], ["Date", "YearMonth"], ["Date", "YearMonthNum"], ["Date", "Last"]]}
labeled_fds: Date
DateAsInteger
Date
Year
Date
YearMonth
Date
YearMonthNum
Date
Last
Province/State
Country/Region
Lat
Province/State
Lat
Long
Long
Country/Region
source: $MMTU_HOME/resources/Relationship-finding/FD/296746198