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:
| date                    | Country        |   cases_total |   cases_recovered |   cases_fatal |   cases_active |   day |   Population |   GDP_per_Capita |   health_exp_percgdp |   Hosp_beds |           PP |          Haz |         CF |        OF |   Column1 |   Rapid_Res |   Det_Re |   HS | Type_HS                                   |
|:------------------------|:---------------|--------------:|------------------:|--------------:|---------------:|------:|-------------:|-----------------:|---------------------:|------------:|-------------:|-------------:|-----------:|----------:|----------:|------------:|---------:|-----:|:------------------------------------------|
| 2020-07-14 00:00:00.000 | Russia         |        738787 |            511958 |         11597 |         215232 |   121 |    145934000 |          11585   |                 5.32 |         7.1 | 1474.86      |  4.27591e-11 | 0.0156974  | 0.0221505 |     65779 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-07-15 00:00:00.000 | United Kingdom |        293469 |             41010 |          1386 |         251073 |   137 |     67886000 |          42328.9 |                10    |         2.5 | 3698.45      |  7.92505e-12 | 0.00472282 | 0.0326918 |     88418 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-04-24 00:00:00.000 | Russia         |         68622 |              5568 |           615 |          62439 |    40 |    145934000 |          11585   |                 5.32 |         7.1 |  427.858     |  4.00798e-11 | 0.00896214 | 0.0994663 |     65698 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-06-10 00:00:00.000 | United Kingdom |        269101 |             39110 |          1269 |         228722 |   102 |     67886000 |          42328.9 |                10    |         2.5 | 3369.21      |  1.74705e-11 | 0.0047157  | 0.0314272 |     88383 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-04-03 00:00:00.000 | France         |         64452 |             14135 |          6509 |          43808 |    34 |     65273000 |          40496.4 |                11.26 |         5.9 |  671.15      |  8.00331e-11 | 0.10099    | 0.315297  |     28717 |        62.9 |     75.3 | 60.9 | Universal Public Insurance system         |
| 2020-03-21 00:00:00.000 | China          |         81305 |             71857 |          3259 |           6189 |    60 |   1439000000 |          10216.6 |                 5.35 |         4.3 |    4.3009    |  3.8221e-14  | 0.0400836  | 0.0433862 |     16692 |        48.6 |     48.5 | 45.7 | Universal Public Insurance system         |
| 2020-05-20 00:00:00.000 | Russia         |        308705 |             85392 |          2972 |         220341 |    66 |    145934000 |          11585   |                 5.32 |         7.1 | 1509.87      |  6.00545e-11 | 0.00962731 | 0.0336336 |     65724 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-06-11 00:00:00.000 | US             |       2023890 |            540292 |        116730 |        1366868 |    97 |    331000000 |          65297.5 |                16.89 |         2.9 | 4129.51      |  6.98882e-11 | 0.0576761  | 0.177665  |     82378 |        79.7 |     98.2 | 73.8 | Non-universal Insurance System            |
| 2020-06-02 00:00:00.000 | Russia         |        423186 |            186602 |          5031 |         231553 |    79 |    145934000 |          11585   |                 5.32 |         7.1 | 1586.7       |  6.06987e-11 | 0.0118884  | 0.0262533 |     65737 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-04-01 00:00:00.000 | France         |         57122 |             11053 |          4778 |          41291 |    32 |     65273000 |          40496.4 |                11.26 |         5.9 |  632.589     |  7.42114e-11 | 0.0836455  | 0.301813  |     28715 |        62.9 |     75.3 | 60.9 | Universal Public Insurance system         |
| 2020-03-02 00:00:00.000 | France         |           191 |                12 |             3 |            176 |     2 |     65273000 |          40496.4 |                11.26 |         5.9 |    2.69637   |  9.34536e-13 | 0.0157068  | 0.2       |     28685 |        62.9 |     75.3 | 60.9 | Universal Public Insurance system         |
| 2020-06-21 00:00:00.000 | Russia         |        583879 |            339142 |          8101 |         236636 |    98 |    145934000 |          11585   |                 5.32 |         7.1 | 1621.53      |  5.28801e-11 | 0.0138745  | 0.0233295 |     65756 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-04-03 00:00:00.000 | US             |        289087 |              9707 |          9595 |         269785 |    28 |    331000000 |          65297.5 |                16.89 |         2.9 |  815.06      |  9.7568e-11  | 0.0331907  | 0.497099  |     82309 |        79.7 |     98.2 | 73.8 | Non-universal Insurance System            |
| 2020-06-08 00:00:00.000 | Russia         |        476043 |            230226 |          5963 |         239854 |    85 |    145934000 |          11585   |                 5.32 |         7.1 | 1643.58      |  6.14661e-11 | 0.0125262  | 0.0252467 |     65743 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-03-16 00:00:00.000 | United Kingdom |          3692 |                66 |            21 |           3605 |    16 |     67886000 |          42328.9 |                10    |         2.5 |   53.1037    |  9.05931e-12 | 0.00568797 | 0.241379  |     88297 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-03-05 00:00:00.000 | China          |         80537 |             52292 |          3015 |          25230 |    44 |   1439000000 |          10216.6 |                 5.35 |         4.3 |   17.533     |  1.04934e-13 | 0.0374362  | 0.0545139 |     16676 |        48.6 |     48.5 | 45.7 | Universal Public Insurance system         |
| 2020-04-16 00:00:00.000 | United Kingdom |        112808 |             16059 |           375 |          96374 |    47 |     67886000 |          42328.9 |                10    |         2.5 | 1419.64      |  7.87055e-11 | 0.00332423 | 0.0228185 |     88328 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-05-12 00:00:00.000 | United Kingdom |        218895 |             32270 |          1023 |         185602 |    73 |     67886000 |          42328.9 |                10    |         2.5 | 2734.02      |  5.00103e-11 | 0.00467347 | 0.0307272 |     88354 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-05-29 00:00:00.000 | France         |        188949 |             67921 |         28717 |          92311 |    90 |     65273000 |          40496.4 |                11.26 |         5.9 | 1414.23      |  9.10024e-12 | 0.151983   | 0.297161  |     28773 |        62.9 |     75.3 | 60.9 | Universal Public Insurance system         |
| 2020-02-22 00:00:00.000 | China          |         77001 |             22699 |          2443 |          51859 |    32 |   1439000000 |          10216.6 |                 5.35 |         4.3 |   36.0382    |  1.00834e-12 | 0.0317269  | 0.0971681 |     16664 |        48.6 |     48.5 | 45.7 | Universal Public Insurance system         |
| 2020-05-09 00:00:00.000 | Russia         |        198676 |             31916 |          1827 |         164933 |    55 |    145934000 |          11585   |                 5.32 |         7.1 | 1130.19      |  7.41225e-11 | 0.00919588 | 0.0541446 |     65713 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-03-17 00:00:00.000 | United Kingdom |          4462 |                83 |            53 |           4326 |    17 |     67886000 |          42328.9 |                10    |         2.5 |   63.7245    |  1.13425e-11 | 0.0118781  | 0.389706  |     88298 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-04-29 00:00:00.000 | France         |        167643 |             48228 |         24060 |          95355 |    60 |     65273000 |          40496.4 |                11.26 |         5.9 | 1460.86      | -2.2291e-11  | 0.143519   | 0.332835  |     28743 |        62.9 |     75.3 | 60.9 | Universal Public Insurance system         |
| 2020-05-12 00:00:00.000 | US             |       1381241 |            230287 |         85774 |        1065180 |    67 |    331000000 |          65297.5 |                16.89 |         2.9 | 3218.07      |  6.93293e-11 | 0.0620992  | 0.271384  |     82348 |        79.7 |     98.2 | 73.8 | Non-universal Insurance System            |
| 2020-09-13 00:00:00.000 | Russia         |       1059024 |            873684 |         18517 |         166823 |   182 |    145934000 |          11585   |                 5.32 |         7.1 | 1143.14      |  3.67358e-11 | 0.017485   | 0.0207543 |     65840 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-07-25 00:00:00.000 | Russia         |        805332 |            596064 |         13172 |         196096 |   132 |    145934000 |          11585   |                 5.32 |         7.1 | 1343.73      |  3.99701e-11 | 0.016356   | 0.0216205 |     65790 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-04-04 00:00:00.000 | United Kingdom |         57772 |              5281 |           215 |          52276 |    35 |     67886000 |          42328.9 |                10    |         2.5 |  770.056     |  5.99976e-11 | 0.00372153 | 0.0391194 |     88316 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-05-27 00:00:00.000 | Russia         |        370680 |            142208 |          3968 |         224504 |    73 |    145934000 |          11585   |                 5.32 |         7.1 | 1538.39      |  5.71354e-11 | 0.0107047  | 0.0271454 |     65731 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-06-10 00:00:00.000 | Russia         |        493023 |            252295 |          6350 |         234378 |    87 |    145934000 |          11585   |                 5.32 |         7.1 | 1606.05      |  5.75123e-11 | 0.0128797  | 0.024551  |     65745 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-08-30 00:00:00.000 | United Kingdom |        336668 |             41586 |          1624 |         293458 |   183 |     67886000 |          42328.9 |                10    |         2.5 | 4322.81      |  2.5808e-11  | 0.00482374 | 0.0375839 |     88464 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-07-10 00:00:00.000 | United Kingdom |        289678 |             40904 |          1378 |         247396 |   132 |     67886000 |          42328.9 |                10    |         2.5 | 3644.29      |  7.71882e-12 | 0.00475701 | 0.0325907 |     88413 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-07-12 00:00:00.000 | Russia         |        726036 |            500208 |         11318 |         214510 |   119 |    145934000 |          11585   |                 5.32 |         7.1 | 1469.91      |  4.51368e-11 | 0.0155888  | 0.022126  |     65777 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-04-07 00:00:00.000 | China          |         82718 |             77410 |          3335 |           1973 |    77 |   1439000000 |          10216.6 |                 5.35 |         4.3 |    1.37109   |  3.68311e-14 | 0.0403177  | 0.0413029 |     16709 |        48.6 |     48.5 | 45.7 | Universal Public Insurance system         |
| 2020-04-21 00:00:00.000 | China          |         83853 |             77799 |          4636 |           1418 |    91 |   1439000000 |          10216.6 |                 5.35 |         4.3 |    0.985407  |  2.50174e-14 | 0.0552872  | 0.0562382 |     16723 |        48.6 |     48.5 | 45.7 | Universal Public Insurance system         |
| 2020-06-05 00:00:00.000 | Russia         |        449256 |            212237 |          5520 |         231499 |    82 |    145934000 |          11585   |                 5.32 |         7.1 | 1586.33      |  5.97393e-11 | 0.012287   | 0.0253494 |     65740 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-03-29 00:00:00.000 | China          |         82122 |             75582 |          3304 |           3236 |    68 |   1439000000 |          10216.6 |                 5.35 |         4.3 |    2.24878   |  8.5476e-14  | 0.0402328  | 0.0418832 |     16700 |        48.6 |     48.5 | 45.7 | Universal Public Insurance system         |
| 2020-06-01 00:00:00.000 | Russia         |        414328 |            175514 |          4849 |         233965 |    78 |    145934000 |          11585   |                 5.32 |         7.1 | 1603.22      |  5.81427e-11 | 0.0117033  | 0.0268847 |     65736 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-06-05 00:00:00.000 | China          |         84177 |             79420 |          4638 |            119 |   136 |   1439000000 |          10216.6 |                 5.35 |         4.3 |    0.0826963 |  4.16956e-15 | 0.0550982  | 0.0551762 |     16768 |        48.6 |     48.5 | 45.7 | Universal Public Insurance system         |
| 2020-07-30 00:00:00.000 | Russia         |        832993 |            628482 |         13778 |         190733 |   137 |    145934000 |          11585   |                 5.32 |         7.1 | 1306.98      |  3.75786e-11 | 0.0165404  | 0.0214524 |     65795 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-07-14 00:00:00.000 | United Kingdom |        292931 |             40984 |          1385 |         250562 |   136 |     67886000 |          42328.9 |                10    |         2.5 | 3690.92      |  1.82659e-11 | 0.00472808 | 0.032689  |     88417 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-07-27 00:00:00.000 | Russia         |        816680 |            602249 |         13334 |         201097 |   134 |    145934000 |          11585   |                 5.32 |         7.1 | 1378         |  3.84215e-11 | 0.0163271  | 0.0216608 |     65792 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-03-26 00:00:00.000 | France         |         29252 |              4955 |          1697 |          22600 |    26 |     65273000 |          40496.4 |                11.26 |         5.9 |  346.238     |  6.00248e-11 | 0.0580131  | 0.255111  |     28709 |        62.9 |     75.3 | 60.9 | Universal Public Insurance system         |
| 2020-06-03 00:00:00.000 | US             |       1857511 |            479258 |        110599 |        1267654 |    89 |    331000000 |          65297.5 |                16.89 |         2.9 | 3829.77      |  5.99849e-11 | 0.0595415  | 0.187501  |     82370 |        79.7 |     98.2 | 73.8 | Non-universal Insurance System            |
| 2020-05-01 00:00:00.000 | United Kingdom |        183501 |             27454 |           892 |         155155 |    62 |     67886000 |          42328.9 |                10    |         2.5 | 2285.52      |  6.96756e-11 | 0.00486101 | 0.0314683 |     88343 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-03-19 00:00:00.000 | United Kingdom |          6534 |               164 |            68 |           6302 |    19 |     67886000 |          42328.9 |                10    |         2.5 |   92.8321    |  1.57028e-11 | 0.0104071  | 0.293103  |     88300 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-05-04 00:00:00.000 | Russia         |        145268 |             18095 |          1356 |         125817 |    50 |    145934000 |          11585   |                 5.32 |         7.1 |  862.15      |  7.25054e-11 | 0.00933447 | 0.0697136 |     65708 |        34.1 |     50.1 | 37.6 | Universal Public Insurance system         |
| 2020-07-19 00:00:00.000 | United Kingdom |        296358 |             41080 |          1413 |         253865 |   141 |     67886000 |          42328.9 |                10    |         2.5 | 3739.58      |  1.06944e-11 | 0.00476788 | 0.0332525 |     88422 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-08-04 00:00:00.000 | United Kingdom |        307926 |             41311 |          1445 |         265170 |   157 |     67886000 |          42328.9 |                10    |         2.5 | 3906.11      |  9.94314e-12 | 0.00469269 | 0.0337964 |     88438 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-03-20 00:00:00.000 | United Kingdom |          7792 |               196 |            68 |           7528 |    20 |     67886000 |          42328.9 |                10    |         2.5 |  110.892     |  1.85311e-11 | 0.0087269  | 0.257576  |     88301 |        91.9 |     87.3 | 59.8 | Universal Government-Funded Health System |
| 2020-03-27 00:00:00.000 | China          |         81897 |             74720 |          3296 |           3881 |    66 |   1439000000 |          10216.6 |                 5.35 |         4.3 |    2.69701   |  7.99166e-14 | 0.0402457  | 0.0422477 |     16698 |        48.6 |     48.5 | 45.7 | Universal Public Insurance system         |



label: Country
Rapid_Res
Country
Det_Re
Country
HS
Country
Type_HS
output: {"Functional-Dependency": [["Country", "Rapid_Res"], ["Country", "Det_Re"], ["Country", "HS"], ["Country", "Type_HS"]]}
labeled_fds: Country
Rapid_Res
Country
Det_Re
Country
HS
Country
Type_HS
cases_total
date
cases_total
cases_recovered
cases_total
cases_active
cases_total
day
cases_total
PP
cases_total
Haz
cases_total
OF
cases_total
Column1
cases_recovered
Country
cases_recovered
Population
cases_recovered
HS
cases_recovered
Type_HS
cases_fatal
Country
cases_fatal
Population
cases_fatal
GDP_per_Capita
cases_fatal
health_exp_percgdp
cases_fatal
Rapid_Res
cases_fatal
Det_Re
cases_fatal
Type_HS
cases_active
Country
cases_active
cases_fatal
cases_active
day
cases_active
Population
cases_active
GDP_per_Capita
cases_active
health_exp_percgdp
cases_active
Hosp_beds
cases_active
PP
cases_active
Haz
cases_active
Column1
cases_active
Rapid_Res
cases_active
Det_Re
cases_active
HS
PP
date
PP
cases_recovered
PP
cases_fatal
PP
Haz
PP
CF
PP
OF
PP
Column1
Haz
Country
Haz
cases_recovered
Haz
cases_fatal
Haz
cases_active
Haz
Population
Haz
GDP_per_Capita
Haz
health_exp_percgdp
Haz
Hosp_beds
Haz
PP
Haz
OF
Haz
Rapid_Res
Haz
Det_Re
Haz
HS
CF
date
CF
cases_recovered
CF
cases_fatal
CF
cases_active
CF
day
CF
PP
CF
Haz
CF
Column1
OF
date
OF
cases_active
OF
Haz
OF
CF
OF
Column1
source: $MMTU_HOME/resources/Relationship-finding/FD/126257830