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:
| Txn Type     | Entity Name   | Account Name   | Account Type    | Txn Date                |   Amount (HomeCurrency) | Conv. Key    | HomeCurrency   |   Conv. Rate |   Amount (EURO) calculated | Conv. Key (prev)   | LastoftheMonth          | Date                    | Start of Month          |
|:-------------|:--------------|:---------------|:----------------|:------------------------|------------------------:|:-------------|:---------------|-------------:|---------------------------:|:-------------------|:------------------------|:------------------------|:------------------------|
| JournalEntry | Entity 85     | Account 96     | CostOfGoodsSold | 2019-04-30 00:00:00.000 |                61.5279  | USDEUR20194  | USD            |       0.8956 |                    55.1044 | USDEUR20193        | 2019-04-30 00:00:00.000 | 2019-04-30 00:00:00.000 | 2019-04-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 70     | Income          | 2018-10-31 00:00:00.000 |              -772.369   | USDEUR201810 | USD            |       0.8801 |                  -679.762  | USDEUR20189        | 2018-10-31 00:00:00.000 | 2018-10-31 00:00:00.000 | 2018-10-01 00:00:00.000 |
| Bill         | Entity 59     | Account 2      | CostOfGoodsSold | 2019-03-25 00:00:00.000 |              1172.6     | USDEUR20193  | USD            |       0.8916 |                  1045.49   | USDEUR20192        | 2019-03-31 00:00:00.000 | 2019-03-25 00:00:00.000 | 2019-03-01 00:00:00.000 |
| Bill         | Entity 49     | Account 2      | CostOfGoodsSold | 2018-12-31 00:00:00.000 |               526.615   | USDEUR201812 | USD            |       0.8743 |                   460.42   | USDEUR201811       | 2018-12-31 00:00:00.000 | 2018-12-31 00:00:00.000 | 2018-12-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 75     | Income          | 2019-01-30 00:00:00.000 |              -617.895   | USDEUR20191  | USD            |       0.8741 |                  -540.102  | USDEUR20191        | 2019-01-31 00:00:00.000 | 2019-01-30 00:00:00.000 | 2019-01-01 00:00:00.000 |
| JournalEntry | Entity 78     | Account 85     | Income          | 2019-03-29 00:00:00.000 |             -5431.16    | USDEUR20193  | USD            |       0.8916 |                 -4842.42   | USDEUR20192        | 2019-03-31 00:00:00.000 | 2019-03-29 00:00:00.000 | 2019-03-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 69     | Income          | 2018-09-28 00:00:00.000 |              -772.369   | USDEUR20189  | USD            |       0.862  |                  -665.782  | USDEUR20188        | 2018-09-30 00:00:00.000 | 2018-09-28 00:00:00.000 | 2018-09-01 00:00:00.000 |
| Invoice      | Entity 76     | Account 57     | Income          | 2019-01-31 00:00:00.000 |             -1421.86    | USDEUR20191  | USD            |       0.8741 |                 -1242.85   | USDEUR20191        | 2019-01-31 00:00:00.000 | 2019-01-31 00:00:00.000 | 2019-01-01 00:00:00.000 |
| CreditMemo   | Entity 76     | Account 207    | Income          | 2018-12-21 00:00:00.000 |              1105.89    | USDEUR201812 | USD            |       0.8743 |                   966.881  | USDEUR201811       | 2018-12-31 00:00:00.000 | 2018-12-21 00:00:00.000 | 2018-12-01 00:00:00.000 |
| Bill         | Entity 117    | Account 2      | CostOfGoodsSold | 2018-10-31 00:00:00.000 |              1930.92    | USDEUR201810 | USD            |       0.8801 |                  1699.4    | USDEUR20189        | 2018-10-31 00:00:00.000 | 2018-10-31 00:00:00.000 | 2018-10-01 00:00:00.000 |
| Bill         | Entity 22     | Account 2      | CostOfGoodsSold | 2019-03-25 00:00:00.000 |               105.323   | USDEUR20193  | USD            |       0.8916 |                    93.906  | USDEUR20192        | 2019-03-31 00:00:00.000 | 2019-03-25 00:00:00.000 | 2019-03-01 00:00:00.000 |
| JournalEntry | Entity 60     | Account 99     | CostOfGoodsSold | 2018-09-28 00:00:00.000 |               486.106   | USDEUR20189  | USD            |       0.862  |                   419.023  | USDEUR20188        | 2018-09-30 00:00:00.000 | 2018-09-28 00:00:00.000 | 2018-09-01 00:00:00.000 |
| JournalEntry | Entity 30     | Account 17     | CostOfGoodsSold | 2019-01-07 00:00:00.000 |                72.9687  | USDEUR20191  | USD            |       0.8741 |                    63.7819 | USDEUR20191        | 2019-01-31 00:00:00.000 | 2019-01-07 00:00:00.000 | 2019-01-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 81     | Income          | 2018-11-27 00:00:00.000 |              -772.369   | USDEUR201811 | USD            |       0.8789 |                  -678.835  | USDEUR201810       | 2018-11-30 00:00:00.000 | 2018-11-27 00:00:00.000 | 2018-11-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 70     | Income          | 2018-10-31 00:00:00.000 |             -1053.23    | USDEUR201810 | USD            |       0.8801 |                  -926.948  | USDEUR20189        | 2018-10-31 00:00:00.000 | 2018-10-31 00:00:00.000 | 2018-10-01 00:00:00.000 |
| Bill         | Entity 22     | Account 2      | CostOfGoodsSold | 2019-02-26 00:00:00.000 |               438.846   | USDEUR20192  | USD            |       0.8787 |                   385.614  | USDEUR20191        | 2019-02-28 00:00:00.000 | 2019-02-26 00:00:00.000 | 2019-02-01 00:00:00.000 |
| JournalEntry | Entity 83     | Account 154    | Income          | 2018-11-30 00:00:00.000 |             -8210.02    | USDEUR201811 | USD            |       0.8789 |                 -7215.78   | USDEUR201810       | 2018-11-30 00:00:00.000 | 2018-11-30 00:00:00.000 | 2018-11-01 00:00:00.000 |
| Invoice      | Entity 76     | Account 58     | Income          | 2019-04-30 00:00:00.000 |             -2211.78    | USDEUR20194  | USD            |       0.8956 |                 -1980.87   | USDEUR20193        | 2019-04-30 00:00:00.000 | 2019-04-30 00:00:00.000 | 2019-04-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 218    | Income          | 2018-11-27 00:00:00.000 |              -540.658   | USDEUR201811 | USD            |       0.8789 |                  -475.184  | USDEUR201810       | 2018-11-30 00:00:00.000 | 2018-11-27 00:00:00.000 | 2018-11-01 00:00:00.000 |
| JournalEntry | Entity 83     | Account 154    | Income          | 2018-12-31 00:00:00.000 |             -9872.19    | USDEUR201812 | USD            |       0.8743 |                 -8631.25   | USDEUR201811       | 2018-12-31 00:00:00.000 | 2018-12-31 00:00:00.000 | 2018-12-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 67     | Income          | 2019-04-30 00:00:00.000 |                 0       | USDEUR20194  | USD            |       0.8956 |                     0      | USDEUR20193        | 2019-04-30 00:00:00.000 | 2019-04-30 00:00:00.000 | 2019-04-01 00:00:00.000 |
| Invoice      | Entity 83     | Account 186    | Income          | 2018-11-28 00:00:00.000 |            -10054.8     | USDEUR201811 | USD            |       0.8789 |                 -8837.2    | USDEUR201810       | 2018-11-30 00:00:00.000 | 2018-11-28 00:00:00.000 | 2018-11-01 00:00:00.000 |
| JournalEntry | Entity 89     | Account 110    | CostOfGoodsSold | 2019-04-30 00:00:00.000 |              1243.4     | USDEUR20194  | USD            |       0.8956 |                  1113.59   | USDEUR20193        | 2019-04-30 00:00:00.000 | 2019-04-30 00:00:00.000 | 2019-04-01 00:00:00.000 |
| JournalEntry | Entity 60     | Account 40     | CostOfGoodsSold | 2018-12-28 00:00:00.000 |                39.2706  | USDEUR201812 | USD            |       0.8743 |                    34.3343 | USDEUR201811       | 2018-12-31 00:00:00.000 | 2018-12-28 00:00:00.000 | 2018-12-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 80     | Income          | 2019-01-31 00:00:00.000 |              -772.369   | USDEUR20191  | USD            |       0.8741 |                  -675.128  | USDEUR20191        | 2019-01-31 00:00:00.000 | 2019-01-31 00:00:00.000 | 2019-01-01 00:00:00.000 |
| Check        | Entity 127    | Account 17     | CostOfGoodsSold | 2019-02-01 00:00:00.000 |                 3.65822 | USDEUR20192  | USD            |       0.8787 |                     3.2145 | USDEUR20191        | 2019-02-28 00:00:00.000 | 2019-02-01 00:00:00.000 | 2019-02-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 75     | Income          | 2018-11-30 00:00:00.000 |              -772.369   | USDEUR201811 | USD            |       0.8789 |                  -678.835  | USDEUR201810       | 2018-11-30 00:00:00.000 | 2018-11-30 00:00:00.000 | 2018-11-01 00:00:00.000 |
| JournalEntry | Entity 90     | Account 94     | CostOfGoodsSold | 2019-02-25 00:00:00.000 |               -87.0477  | USDEUR20192  | USD            |       0.8787 |                   -76.4888 | USDEUR20191        | 2019-02-28 00:00:00.000 | 2019-02-25 00:00:00.000 | 2019-02-01 00:00:00.000 |
| Bill         | Entity 158    | Account 2      | CostOfGoodsSold | 2018-12-28 00:00:00.000 |               286.654   | USDEUR201812 | USD            |       0.8743 |                   250.622  | USDEUR201811       | 2018-12-31 00:00:00.000 | 2018-12-28 00:00:00.000 | 2018-12-01 00:00:00.000 |
| Bill         | Entity 58     | Account 2      | CostOfGoodsSold | 2019-02-28 00:00:00.000 |              1299.9     | USDEUR20192  | USD            |       0.8787 |                  1142.22   | USDEUR20191        | 2019-02-28 00:00:00.000 | 2019-02-28 00:00:00.000 | 2019-02-01 00:00:00.000 |
| Invoice      | Entity 76     | Account 58     | Income          | 2018-12-31 00:00:00.000 |             -1685.17    | USDEUR201812 | USD            |       0.8743 |                 -1473.34   | USDEUR201811       | 2018-12-31 00:00:00.000 | 2018-12-31 00:00:00.000 | 2018-12-01 00:00:00.000 |
| Invoice      | Entity 139    | Account 191    | Income          | 2018-11-21 00:00:00.000 |             -1937.94    | USDEUR201811 | USD            |       0.8789 |                 -1703.26   | USDEUR201810       | 2018-11-30 00:00:00.000 | 2018-11-21 00:00:00.000 | 2018-11-01 00:00:00.000 |
| Bill         | Entity 12     | Account 2      | CostOfGoodsSold | 2018-09-28 00:00:00.000 |               394.961   | USDEUR20189  | USD            |       0.862  |                   340.457  | USDEUR20188        | 2018-09-30 00:00:00.000 | 2018-09-28 00:00:00.000 | 2018-09-01 00:00:00.000 |
| Bill         | Entity 11     | Account 2      | CostOfGoodsSold | 2018-10-31 00:00:00.000 |               833.807   | USDEUR201810 | USD            |       0.8801 |                   733.834  | USDEUR20189        | 2018-10-31 00:00:00.000 | 2018-10-31 00:00:00.000 | 2018-10-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 76     | Income          | 2019-02-21 00:00:00.000 |              -772.369   | USDEUR20192  | USD            |       0.8787 |                  -678.68   | USDEUR20191        | 2019-02-28 00:00:00.000 | 2019-02-21 00:00:00.000 | 2019-02-01 00:00:00.000 |
| Bill         | Entity 106    | Account 2      | CostOfGoodsSold | 2019-01-31 00:00:00.000 |               614.384   | USDEUR20191  | USD            |       0.8741 |                   537.033  | USDEUR20191        | 2019-01-31 00:00:00.000 | 2019-01-31 00:00:00.000 | 2019-01-01 00:00:00.000 |
| JournalEntry | Entity 36     | Account 40     | CostOfGoodsSold | 2018-10-25 00:00:00.000 |                83.9293  | USDEUR201810 | USD            |       0.8801 |                    73.8662 | USDEUR20189        | 2018-10-31 00:00:00.000 | 2018-10-25 00:00:00.000 | 2018-10-01 00:00:00.000 |
| JournalEntry | Entity 153    | Account 98     | CostOfGoodsSold | 2018-12-28 00:00:00.000 |                61.5481  | USDEUR201812 | USD            |       0.8743 |                    53.8115 | USDEUR201811       | 2018-12-31 00:00:00.000 | 2018-12-28 00:00:00.000 | 2018-12-01 00:00:00.000 |
| Invoice      | Entity 76     | Account 57     | Income          | 2019-04-30 00:00:00.000 |             -2159.12    | USDEUR20194  | USD            |       0.8956 |                 -1933.71   | USDEUR20193        | 2019-04-30 00:00:00.000 | 2019-04-30 00:00:00.000 | 2019-04-01 00:00:00.000 |
| Bill         | Entity 128    | Account 2      | CostOfGoodsSold | 2019-02-25 00:00:00.000 |             13162.7     | USDEUR20192  | USD            |       0.8787 |                 11566.1    | USDEUR20191        | 2019-02-28 00:00:00.000 | 2019-02-25 00:00:00.000 | 2019-02-01 00:00:00.000 |
| Invoice      | Entity 76     | Account 59     | Income          | 2019-04-30 00:00:00.000 |             -1685.17    | USDEUR20194  | USD            |       0.8956 |                 -1509.24   | USDEUR20193        | 2019-04-30 00:00:00.000 | 2019-04-30 00:00:00.000 | 2019-04-01 00:00:00.000 |
| JournalEntry | Entity 72     | Account 85     | Income          | 2019-02-28 00:00:00.000 |            -13582.4     | USDEUR20192  | USD            |       0.8787 |                -11934.8    | USDEUR20191        | 2019-02-28 00:00:00.000 | 2019-02-28 00:00:00.000 | 2019-02-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 68     | Income          | 2018-10-31 00:00:00.000 |              -947.907   | USDEUR201810 | USD            |       0.8801 |                  -834.253  | USDEUR20189        | 2018-10-31 00:00:00.000 | 2018-10-31 00:00:00.000 | 2018-10-01 00:00:00.000 |
| Invoice      | Entity 76     | Account 133    | Income          | 2019-02-28 00:00:00.000 |               -97.7749  | USDEUR20192  | USD            |       0.8787 |                   -85.9148 | USDEUR20191        | 2019-02-28 00:00:00.000 | 2019-02-28 00:00:00.000 | 2019-02-01 00:00:00.000 |
| JournalEntry | Entity 126    | Account 110    | CostOfGoodsSold | 2019-04-30 00:00:00.000 |               661.644   | USDEUR20194  | USD            |       0.8956 |                   592.569  | USDEUR20193        | 2019-04-30 00:00:00.000 | 2019-04-30 00:00:00.000 | 2019-04-01 00:00:00.000 |
| JournalEntry | Entity 126    | Account 110    | CostOfGoodsSold | 2019-01-28 00:00:00.000 |              1023.97    | USDEUR20191  | USD            |       0.8741 |                   895.056  | USDEUR20191        | 2019-01-31 00:00:00.000 | 2019-01-28 00:00:00.000 | 2019-01-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 72     | Income          | 2019-01-30 00:00:00.000 |              -386.184   | USDEUR20191  | USD            |       0.8741 |                  -337.564  | USDEUR20191        | 2019-01-31 00:00:00.000 | 2019-01-30 00:00:00.000 | 2019-01-01 00:00:00.000 |
| Bill         | Entity 48     | Account 2      | CostOfGoodsSold | 2019-02-26 00:00:00.000 |               658.269   | USDEUR20192  | USD            |       0.8787 |                   578.421  | USDEUR20191        | 2019-02-28 00:00:00.000 | 2019-02-26 00:00:00.000 | 2019-02-01 00:00:00.000 |
| Invoice      | Entity 72     | Account 75     | Income          | 2018-10-30 00:00:00.000 |              -772.369   | USDEUR201810 | USD            |       0.8801 |                  -679.762  | USDEUR20189        | 2018-10-31 00:00:00.000 | 2018-10-30 00:00:00.000 | 2018-10-01 00:00:00.000 |
| Bill         | Entity 44     | Account 2      | CostOfGoodsSold | 2019-01-31 00:00:00.000 |               702.153   | USDEUR20191  | USD            |       0.8741 |                   613.752  | USDEUR20191        | 2019-01-31 00:00:00.000 | 2019-01-31 00:00:00.000 | 2019-01-01 00:00:00.000 |



label: Txn Date
Date
Txn Date
Start of Month
output: {"Functional-Dependency": [["Txn Date", "Date"], ["Txn Date", "Start of Month"]]}
labeled_fds: Txn Date
Date
Txn Date
Start of Month
Account Name
Txn Type
source: $MMTU_HOME/resources/Relationship-finding/FD/195364443