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:
|     id |   campaign_id |   coupon_id |   customer_id | Redemption_status   | campaign_type   | start_date              | end_date                |   Intervel |
|-------:|--------------:|------------:|--------------:|:--------------------|:----------------|:------------------------|:------------------------|-----------:|
| 108400 |            11 |         971 |           709 | NO REDEM            | Y               | 2013-04-22 00:00:00.000 | 2013-06-07 00:00:00.000 |         46 |
|  17293 |             8 |         271 |           697 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|  97164 |            11 |         669 |          1115 | NO REDEM            | Y               | 2013-04-22 00:00:00.000 | 2013-06-07 00:00:00.000 |         46 |
|  85822 |            13 |         142 |           304 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  69116 |            13 |         796 |           905 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  94307 |            10 |         662 |          1368 | NO REDEM            | Y               | 2013-04-08 00:00:00.000 | 2013-05-10 00:00:00.000 |         32 |
|  47712 |             8 |          79 |          1509 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|   7719 |            30 |         666 |           588 | NO REDEM            | X               | 2012-11-19 00:00:00.000 | 2013-01-04 00:00:00.000 |         46 |
|  33891 |             8 |          56 |           519 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|  52759 |            13 |         147 |           679 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|   2843 |             8 |         424 |           743 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
| 102920 |            30 |        1001 |            91 | NO REDEM            | X               | 2012-11-19 00:00:00.000 | 2013-01-04 00:00:00.000 |         46 |
| 122779 |             8 |         623 |          1390 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|   3700 |            13 |         155 |          1104 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  41219 |            12 |         783 |           100 | NO REDEM            | Y               | 2013-04-22 00:00:00.000 | 2013-05-24 00:00:00.000 |         32 |
|  22591 |            13 |        1114 |           947 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  11762 |            13 |         601 |           202 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  31924 |            13 |         516 |          1490 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  23608 |             9 |         788 |           457 | NO REDEM            | Y               | 2013-03-11 00:00:00.000 | 2013-04-12 00:00:00.000 |         32 |
|  29384 |             8 |          50 |          1215 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
| 104682 |             8 |          91 |           901 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|  14667 |             8 |         754 |          1202 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
| 103410 |            13 |        1108 |           737 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  81296 |            13 |         159 |           702 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  48494 |            13 |         142 |          1134 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  87810 |            13 |          21 |           742 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  40330 |             8 |         247 |           732 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|  37381 |             9 |         520 |          1333 | NO REDEM            | Y               | 2013-03-11 00:00:00.000 | 2013-04-12 00:00:00.000 |         32 |
|  62298 |            13 |         116 |           754 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
|  12698 |            12 |         705 |           484 | NO REDEM            | Y               | 2013-04-22 00:00:00.000 | 2013-05-24 00:00:00.000 |         32 |
| 105879 |            13 |         129 |           332 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
| 108815 |            13 |         766 |           169 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
| 123490 |            30 |         486 |             9 | NO REDEM            | X               | 2012-11-19 00:00:00.000 | 2013-01-04 00:00:00.000 |         46 |
|   1156 |             2 |         744 |           679 | NO REDEM            | Y               | 2012-12-17 00:00:00.000 | 2013-01-18 00:00:00.000 |         32 |
|  24183 |            11 |        1012 |           446 | NO REDEM            | Y               | 2013-04-22 00:00:00.000 | 2013-06-07 00:00:00.000 |         46 |
|  59704 |            29 |         674 |          1099 | NO REDEM            | Y               | 2012-10-08 00:00:00.000 | 2012-11-30 00:00:00.000 |         53 |
|  15944 |             8 |          54 |          1104 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|  93984 |            26 |         361 |           269 | NO REDEM            | X               | 2012-08-12 00:00:00.000 | 2012-09-21 00:00:00.000 |         40 |
|  25473 |             8 |         271 |           188 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
| 127221 |             8 |           7 |          1314 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|  75861 |            26 |         660 |           225 | NO REDEM            | X               | 2012-08-12 00:00:00.000 | 2012-09-21 00:00:00.000 |         40 |
|  62842 |            13 |         130 |           740 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
| 120101 |            26 |         352 |           131 | NO REDEM            | X               | 2012-08-12 00:00:00.000 | 2012-09-21 00:00:00.000 |         40 |
| 105755 |             8 |          58 |          1305 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|  24246 |            13 |         154 |           543 | NO REDEM            | X               | 2013-05-19 00:00:00.000 | 2013-07-05 00:00:00.000 |         47 |
| 122169 |             8 |         383 |          1098 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|  51869 |             8 |          46 |            28 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
| 107935 |             5 |         431 |          1014 | NO REDEM            | Y               | 2013-01-12 00:00:00.000 | 2013-02-15 00:00:00.000 |         34 |
|  41828 |             8 |         296 |           301 | NO REDEM            | X               | 2013-02-16 00:00:00.000 | 2013-04-05 00:00:00.000 |         48 |
|  44256 |            30 |         933 |          1296 | NO REDEM            | X               | 2012-11-19 00:00:00.000 | 2013-01-04 00:00:00.000 |         46 |



label: campaign_id
campaign_type
campaign_id
start_date
campaign_id
end_date
campaign_id
Intervel
output: {"Functional-Dependency": [["campaign_id", "campaign_type"], ["campaign_id", "start_date"], ["campaign_id", "end_date"], ["campaign_id", "Intervel"]]}
labeled_fds: campaign_id
campaign_type
campaign_id
start_date
campaign_id
end_date
campaign_id
Intervel
coupon_id
Redemption_status
coupon_id
campaign_type
customer_id
Redemption_status
customer_id
Intervel
campaign_type
Redemption_status
end_date
campaign_id
end_date
start_date
end_date
Intervel
source: $MMTU_HOME/resources/Relationship-finding/FD/200904442