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:
| Area Code   | Date                    |   Daily Value |   Running Total | UTLA19CD   | LA_Name                      |   Include | Higher Local Authority Area Name   | Higher LA                                             |
|:------------|:------------------------|--------------:|----------------:|:-----------|:-----------------------------|----------:|:-----------------------------------|:------------------------------------------------------|
| E06000059   | 2020-04-09 00:00:00.000 |             6 |             142 | E06000059  | Dorset                       |         1 | Dorset                             | Dorset, England, United Kingdom                       |
| E10000024   | 2020-03-14 00:00:00.000 |             0 |               6 | E10000024  | Nottinghamshire              |         1 | Nottinghamshire                    | Nottinghamshire, England, United Kingdom              |
| E06000015   | 2020-04-10 00:00:00.000 |            10 |             313 | E06000015  | Derby                        |         1 | Derby                              | Derby, England, United Kingdom                        |
| E10000012   | 2020-03-19 00:00:00.000 |             4 |              31 | E10000012  | Essex                        |         1 | Essex                              | Essex, England, United Kingdom                        |
| E08000033   | 2020-04-10 00:00:00.000 |             3 |             122 | E08000033  | Calderdale                   |         1 | Calderdale                         | Calderdale, England, United Kingdom                   |
| E06000008   | 2020-03-17 00:00:00.000 |             1 |               1 | E06000008  | Blackburn with Darwen        |         1 | Blackburn with Darwen              | Blackburn with Darwen, England, United Kingdom        |
| E09000007   | 2020-04-07 00:00:00.000 |            23 |             321 | E09000007  | Camden                       |         1 | Camden                             | Camden, England, United Kingdom                       |
| E08000026   | 2020-03-16 00:00:00.000 |             1 |               3 | E08000026  | Coventry                     |         1 | Coventry                           | Coventry, England, United Kingdom                     |
| E06000041   | 2020-03-21 00:00:00.000 |             1 |              13 | E06000041  | Wokingham                    |         1 | Wokingham                          | Wokingham, England, United Kingdom                    |
| E08000036   | 2020-03-23 00:00:00.000 |             2 |              12 | E08000036  | Wakefield                    |         1 | Wakefield                          | Wakefield, England, United Kingdom                    |
| E09000031   | 2020-03-18 00:00:00.000 |             7 |              14 | E09000031  | Waltham Forest               |         1 | Waltham Forest                     | Waltham Forest, England, United Kingdom               |
| E09000019   | 2020-03-22 00:00:00.000 |             6 |              54 | E09000019  | Islington                    |         1 | Islington                          | Islington, England, United Kingdom                    |
| E06000056   | 2020-03-09 00:00:00.000 |             0 |               0 | E06000056  | Central Bedfordshire         |         1 | Central Bedfordshire               | Central Bedfordshire, England, United Kingdom         |
| E09000027   | 2020-04-07 00:00:00.000 |            13 |             213 | E09000027  | Richmond upon Thames         |         1 | Richmond upon Thames               | Richmond upon Thames, England, United Kingdom         |
| E08000028   | 2020-03-22 00:00:00.000 |             5 |              20 | E08000028  | Sandwell                     |         1 | Sandwell                           | Sandwell, England, United Kingdom                     |
| E10000020   | 2020-03-21 00:00:00.000 |             7 |              24 | E10000020  | Norfolk                      |         1 | Norfolk                            | Norfolk, England, United Kingdom                      |
| E06000023   | 2020-04-07 00:00:00.000 |             0 |             211 | E06000023  | Bristol, City of             |         1 | Bristol, City of                   | Bristol, City of, England, United Kingdom             |
| E06000025   | 2020-03-11 00:00:00.000 |             1 |               1 | E06000025  | South Gloucestershire        |         1 | South Gloucestershire              | South Gloucestershire, England, United Kingdom        |
| E08000024   | 2020-03-24 00:00:00.000 |             7 |              20 | E08000024  | Sunderland                   |         1 | Sunderland                         | Sunderland, England, United Kingdom                   |
| E06000050   | 2020-03-26 00:00:00.000 |             6 |              24 | E06000050  | Cheshire West and Chester    |         1 | Cheshire West and Chester          | Cheshire West and Chester, England, United Kingdom    |
| E10000023   | 2020-03-15 00:00:00.000 |             5 |               7 | E10000023  | North Yorkshire              |         1 | North Yorkshire                    | North Yorkshire, England, United Kingdom              |
| E08000007   | 2020-03-19 00:00:00.000 |             3 |              13 | E08000007  | Stockport                    |         1 | Stockport                          | Stockport, England, United Kingdom                    |
| E10000014   | 2020-03-18 00:00:00.000 |             8 |              77 | E10000014  | Hampshire                    |         1 | Hampshire                          | Hampshire, England, United Kingdom                    |
| E06000051   | 2020-04-12 00:00:00.000 |             7 |             234 | E06000051  | Shropshire                   |         1 | Shropshire                         | Shropshire, England, United Kingdom                   |
| E06000032   | 2020-03-27 00:00:00.000 |            17 |              47 | E06000032  | Luton                        |         1 | Luton                              | Luton, England, United Kingdom                        |
| E08000037   | 2020-03-13 00:00:00.000 |             1 |               1 | E08000037  | Gateshead                    |         1 | Gateshead                          | Gateshead, England, United Kingdom                    |
| E06000003   | 2020-03-10 00:00:00.000 |             0 |               0 | E06000003  | Redcar and Cleveland         |         1 | Redcar and Cleveland               | Redcar and Cleveland, England, United Kingdom         |
| E10000030   | 2020-03-26 00:00:00.000 |            25 |             142 | E10000030  | Surrey                       |         1 | Surrey                             | Surrey, England, United Kingdom                       |
| E09000033   | 2020-04-13 00:00:00.000 |            10 |             483 | E09000033  | Westminster                  |         1 | Westminster                        | Westminster, England, United Kingdom                  |
| E10000031   | 2020-04-02 00:00:00.000 |            45 |             235 | E10000031  | Warwickshire                 |         1 | Warwickshire                       | Warwickshire, England, United Kingdom                 |
| E09000005   | 2020-03-25 00:00:00.000 |            22 |             192 | E09000005  | Brent                        |         1 | Brent                              | Brent, England, United Kingdom                        |
| E09000026   | 2020-03-25 00:00:00.000 |            10 |              67 | E09000026  | Redbridge                    |         1 | Redbridge                          | Redbridge, England, United Kingdom                    |
| E06000030   | 2020-04-03 00:00:00.000 |             4 |              44 | E06000030  | Swindon                      |         1 | Swindon                            | Swindon, England, United Kingdom                      |
| E09000029   | 2020-04-06 00:00:00.000 |            30 |             262 | E09000029  | Sutton                       |         1 | Sutton                             | Sutton, England, United Kingdom                       |
| E10000019   | 2020-03-14 00:00:00.000 |             2 |               3 | E10000019  | Lincolnshire                 |         1 | Lincolnshire                       | Lincolnshire, England, United Kingdom                 |
| E09000019   | 2020-04-11 00:00:00.000 |            10 |             300 | E09000019  | Islington                    |         1 | Islington                          | Islington, England, United Kingdom                    |
| E10000032   | 2020-04-07 00:00:00.000 |            42 |             266 | E10000032  | West Sussex                  |         1 | West Sussex                        | West Sussex, England, United Kingdom                  |
| E09000026   | 2020-04-05 00:00:00.000 |            47 |             299 | E09000026  | Redbridge                    |         1 | Redbridge                          | Redbridge, England, United Kingdom                    |
| E08000001   | 2020-03-18 00:00:00.000 |             2 |               7 | E08000001  | Bolton                       |         1 | Bolton                             | Bolton, England, United Kingdom                       |
| E06000009   | 2020-03-09 00:00:00.000 |             0 |               0 | E06000009  | Blackpool                    |         1 | Blackpool                          | Blackpool, England, United Kingdom                    |
| E09000011   | 2020-03-10 00:00:00.000 |             1 |               1 | E09000011  | Greenwich                    |         1 | Greenwich                          | Greenwich, England, United Kingdom                    |
| E08000005   | 2020-04-05 00:00:00.000 |            28 |             155 | E08000005  | Rochdale                     |         1 | Rochdale                           | Rochdale, England, United Kingdom                     |
| E10000014   | 2020-03-27 00:00:00.000 |            50 |             317 | E10000014  | Hampshire                    |         1 | Hampshire                          | Hampshire, England, United Kingdom                    |
| E09000018   | 2020-03-13 00:00:00.000 |             0 |               5 | E09000018  | Hounslow                     |         1 | Hounslow                           | Hounslow, England, United Kingdom                     |
| E09000010   | 2020-03-13 00:00:00.000 |             1 |               2 | E09000010  | Enfield                      |         1 | Enfield                            | Enfield, England, United Kingdom                      |
| E09000023   | 2020-03-21 00:00:00.000 |            13 |              60 | E09000023  | Lewisham                     |         1 | Lewisham                           | Lewisham, England, United Kingdom                     |
| E06000047   | 2020-03-14 00:00:00.000 |             0 |               1 | E06000047  | County Durham                |         1 | County Durham                      | County Durham, England, United Kingdom                |
| E10000006   | 2020-04-09 00:00:00.000 |            72 |             936 | E10000006  | Cumbria                      |         1 | Cumbria                            | Cumbria, England, United Kingdom                      |
| E10000017   | 2020-03-22 00:00:00.000 |            14 |              44 | E10000017  | Lancashire                   |         1 | Lancashire                         | Lancashire, England, United Kingdom                   |
| E06000022   | 2020-03-21 00:00:00.000 |             6 |              11 | E06000022  | Bath and North East Somerset |         1 | Bath and North East Somerset       | Bath and North East Somerset, England, United Kingdom |



label: Area Code
UTLA19CD
Area Code
LA_Name
Area Code
Include
Area Code
Higher Local Authority Area Name
Area Code
Higher LA
output: {"Functional-Dependency": [["Area Code", "UTLA19CD"], ["Area Code", "LA_Name"], ["Area Code", "Include"], ["Area Code", "Higher Local Authority Area Name"], ["Area Code", "Higher LA"]]}
labeled_fds: Area Code
UTLA19CD
Area Code
LA_Name
Area Code
Include
Area Code
Higher Local Authority Area Name
Area Code
Higher LA
Higher LA
Area Code
Higher LA
UTLA19CD
source: $MMTU_HOME/resources/Relationship-finding/FD/535047354