Task: String-Relationship (source dataset: Auto-Relate)

You are given a table below, where some of the columns may be derived from other columns using string-based transformations (e.g., string split, concatenation, formatting, substring extraction, and pattern matching, etc.). 

Your task is to identify string transformation relationships between the columns, by determining if any column, henceforce referred to as a TargetColumn, can be derived from other columns, referred to as SourceColumns, using the string-based transformations. Please only return relationships that are semantically meaningful and truly hold, and do not return any relationships that are spurious. 

No explanation is needed, return all the detected relationships in the following JSON format: 
{
  "String-Relationship": [
    [["SourceColumn1", "SourceColumn2", ...], "TargetColumn"],
    ...
  ]
}

Input Table:
| Foreign_0   |   Foreign_1 | Foreign_2          | Foreign_3         |   Foreign_4 | Foreign_5                               |   Foreign_6 |   Foreign_7 | Foreign_8           |   Foreign_9 |   Foreign_10 |   Foreign_11 |   Foreign_12 |   Foreign_13 | Foreign_14   | Foreign_15   | Foreign_16   | Foreign_17   |   Foreign_18 |   Foreign_19 |   Foreign_20 |   Foreign_21 |   Foreign_22 | Foreign_23   | Foreign_24   |   Foreign_25 | Foreign_26   | Foreign_27   | Foreign_28   |   Foreign_29 |   Foreign_30 |       Foreign_31 |   Foreign_32 | Foreign_33   | Foreign_34   | Foreign_35   | Foreign_36         |   Foreign_37 |   Foreign_38 |   Foreign_39 | Foreign_40   | Foreign_41                                | Foreign_42     |   Foreign_43 | Foreign_44   | Foreign_45   | Foreign_46         | Foreign_47   |   Foreign_48 |   Foreign_49 | Foreign_50   | Foreign_51   | Foreign_52                      |   Foreign_53 |   Foreign_54 | Foreign_55   |   Foreign_56 | Foreign_57   | Foreign_58   | Foreign_59   | Foreign_60           | Foreign_61   | Foreign_62   | Foreign_63          |   Foreign_64 |   Foreign_65 | Foreign_66   |   Foreign_67 | Foreign_68   |   Foreign_69 |   Foreign_70 | Foreign_71      | Foreign_72   |   Foreign_73 |   Foreign_74 | Foreign_75   |   Foreign_76 |   Foreign_77 | Foreign_78      | Foreign_79   | Foreign_80         |   Foreign_81 |   Foreign_82 |   Foreign_83 |   Foreign_84 |   Foreign_85 | Foreign_86   | Foreign_87   | Foreign_88   |   Foreign_89 |   Foreign_90 |   Foreign_91 |   Foreign_92 |   Foreign_93 |   Foreign_94 |     Foreign_95 | Foreign_96   |   Foreign_97 |   Foreign_98 |   Foreign_99 | AI   | AJ                       | AK   | AL                             |
|:------------|------------:|:-------------------|:------------------|------------:|:----------------------------------------|------------:|------------:|:--------------------|------------:|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------|:-------------|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------|-------------:|:-------------|:-------------|:-------------|-------------:|-------------:|-----------------:|-------------:|:-------------|:-------------|:-------------|:-------------------|-------------:|-------------:|-------------:|:-------------|:------------------------------------------|:---------------|-------------:|:-------------|:-------------|:-------------------|:-------------|-------------:|-------------:|:-------------|:-------------|:--------------------------------|-------------:|-------------:|:-------------|-------------:|:-------------|:-------------|:-------------|:---------------------|:-------------|:-------------|:--------------------|-------------:|-------------:|:-------------|-------------:|:-------------|-------------:|-------------:|:----------------|:-------------|-------------:|-------------:|:-------------|-------------:|-------------:|:----------------|:-------------|:-------------------|-------------:|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|---------------:|:-------------|-------------:|-------------:|-------------:|:-----|:-------------------------|:-----|:-------------------------------|
|             |        1041 | 2083.7198873297812 | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 | 204.16666666666666  |           0 |       348814 |        39.66 |       5875.1 |         1650 |              |              |              | HRM757       |      8968.64 |     18136    |            0 |            0 |      15      | Locale 3     |              |      1225000 | There are    | MF           | yW =         |          100 |           30 |      0           |            8 |              |              |              | 4608.211511655446  |      39356   |      152     |            4 | February     | CSG - Service & Facility Charge per Meter | 0              |      7198.35 | Tuesday      |              | Less than $20,000  |              |           18 |            0 |              |              | Single head                     |            8 |           10 |              |          310 |              |              |              | MUC15-1019 | MIPS    | Fuel matrix  |              | 6th District ……………  |      7.35407 |          146 | 001A         |            0 | :            |            0 |            0 | EyeDiscover     |              |          423 |          210 | True         |           58 |         14.4 | Blank           |              | $20,000 to $34,999 |            0 |          156 |            0 |          198 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |    -0.210827 |            2 |   22           | #REF!        |      78.5419 |          709 |            0 | CTU  | Comp Time Used           |      | CTU - Comp Time Used           |
|             |        1029 | 1298.7824231362231 | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 |                     |           0 |       348814 |        39.66 |      19691.5 |         1650 |              |              |              | HRM757       |      9589.62 |     82606.5  |            0 |            0 |      17.3451 | Locale 3     |              |      1225000 | There are    | BP           | yW =         |          100 |           30 |      0           |            9 |              |              |              | 45405.412798019177 |      39367.5 |      156.33  |           18 | August       | CSG - Service & Facility Charge per Meter | 0              |      7145.56 | Friday       | 0            | $35,000 to $49,999 |              |           18 |            0 |              |              |                                 |            7 |           10 |              |          310 |              |              |              | MUC15-291 | SNF QRP  | Fuel matrix  |              | 2nd District ……………  |      7.33028 |          146 | 001A         |            0 | :            |            0 |            0 | World Languages |              |          423 |          407 | True         |           52 |         14.4 | D1              | 0            | $35,000 to $49,999 |            0 |          156 |            0 |          512 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |    -6.55512  |           12 |    0           | #REF!        |      78.5419 |          709 |            0 | HOL  | Holiday - College Closed |      | HOL - Holiday - College Closed |
|             |         579 | 579.26438333808665 | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 | 204.16666666666666  |           0 |       348814 |        10.29 |      19691.5 |         1650 |              |              |              | HRM757       |      9327.99 |      2998.68 |            0 |            0 |       0      | Locale 3     |              |      1225000 | There are    | BP           | yW =         |          100 |           30 | 811305           |            7 |              |              |              |                    |      39367.5 |      146.576 |           13 | December     | CSG - Service & Facility Charge per Meter | Save on Energy |      7065.28 | Thursday     | 0.9          | Less than $20,000  |              |           27 |            0 |              |              | Earner husband, nonearning wife |            3 |           10 |              |          310 |              |              |              | MUC15-496 | IRF QRP  | Fuel matrix  |              | 8th District ……………  |      7.29454 |        17584 | 001A         |            0 | :            |            0 |            0 | AV2 3-8         |              |          425 |          532 | True         |           78 |         14.4 | Blank           |              | Less than $20,000  |            0 |          156 |            0 |         3162 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |     1.72745  |            5 |   17           | #REF!        |      78.5419 |         1254 |            0 | HS   | Health Screening         |      | HS - Health Screening          |
|             |         737 | 579.26438333808665 | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 | -34758.771929824565 |           0 |       348814 |        39.66 |      22722.4 |         1650 |              |              |              | HRM757       |      9503.32 |     93471.5  |            0 |            0 |      15      | Locale 3     |              |      1225000 | There are    | BP           | yW =         |          100 |           30 |      0           |            8 |              |              |              |                    |      39362.5 |      152     |           22 | July         | CSG - Service & Facility Charge per Meter | 0              |      7012.52 | Friday       | 0            | $35,000 to $49,999 |              |           18 |            0 |              |              |                                 |            1 |           10 |              |          310 |              |              |              | MUC15-1128 | IRF QRP | Fuel matrix  |              | 9th District ……………  |      7.24065 |        17584 | 001A         |            0 | :            |            0 |            0 | AV2 K-5         |              |          419 |          405 | True         |           67 |         14.4 | A 1 A2 A3 A4 A5 |              | $75,000 or more    |           74 |          156 |            0 |          198 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |    -0.210827 |            4 |  171           | #REF!        |      78.5419 |          246 |            0 | JD   | Jury Duty                |      | JD - Jury Duty                 |
|             |         737 | 1298.7824231362231 | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 |                     |           0 |       348814 |        10.29 |       5875.1 |         1650 |              |              |              | HRM757       |      8968.64 |     72181.2  |            0 |            0 |       0      | Locale 3     |              |      1225000 | There are    | BP           | yW =         |          100 |           30 |      0           |            6 |              |              |              |                    |      39369.5 |      157.828 |          126 | February     | CSG - Service & Facility Charge per Meter | MassSave       |      7012.52 | Monday       | 0            | Less than $20,000  |              |           38 |            0 |              |              | Dual earner                     |            7 |           10 |              |          310 |              |              |              | MUC15-217 | MIPS     | Fuel matrix  |              | 5th District ……………  |      7.12574 |        17584 | 001A         |            0 | :            |            0 |            0 | AV2 3-8         |              |          423 |          123 | True         |           64 |         14.4 | B1a             | 0            | Less than $20,000  |           74 |          156 |            0 |          512 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |    -0.210827 |            7 |   66           | #REF!        |      78.5419 |          709 |            0 | BL   | Bereavement Leave        |      | BL - Bereavement Leave         |
|             |         858 | 1298.7824231362231 | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 | 188.35403726708074  |           0 |       348814 |        39.66 |      19691.5 |         1650 |              |              |              | HRM757       |      9416.09 |     26165    |            0 |            0 |      15      | Locale 3     |              |      1225000 | There are    | BP           | yW =         |          100 |           30 |      0           |            7 |              |              |              | 24108.420955440462 |      39387   |      150.487 |          126 | May          | CSG - Service & Facility Charge per Meter | 0              |      7266.87 | Thursday     | 0.9          | $20,000 to $34,999 |              |           38 |            0 |              |              |                                 |            2 |           10 |              |          310 |              |              |              | MUC15-408 | IRF QRP  | Fuel matrix  |              | 1st District ……………  |      7.07019 |          146 | 001A         |            0 | :            |            0 |            0 | EyeDiscover     |              |          423 |          370 | True         |           73 |         14.4 | D1              |              | $50,000 to $74,999 |           74 |          156 |            0 |         1273 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |     1.72745  |           13 |  149           | #REF!        |      78.5419 |          246 |            0 | CB   | College Business         |      | CB - College Business          |
|             |        1029 | 2502.1217810539179 | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 | -15307.37704918033  |           0 |       348814 |        39.66 |       5875.1 |         1650 |              |              |              | HRM757       |      8968.64 |     18136    |            0 |            0 |      17.3451 | Locale 3     |              |      1225000 | There are    | MF           | yW =         |          100 |           30 |      0           |            7 |              |              |              | 93895.927175422752 |      39367.5 |      152     |          126 | October      | CSG - Service & Facility Charge per Meter | NH Saves       |      6767.34 | Tuesday      | 0            | $20,000 to $34,999 |              |           38 |            0 |              |              |                                 |            8 |           10 |              |          310 |              |              |              | MUC15-408 | IRF QRP  | Fuel matrix  |              | 2nd District ……………  |      7.36639 |          146 | 001A         |            0 | :            |            0 |            0 | AV2 K-2         |              |          425 |          370 | True         |           92 |         14.4 | D1              |              | $50,000 to $74,999 |            0 |          156 |            0 |         1273 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |    -6.55512  |           14 | 3755.17        | #REF!        |      78.5419 |          246 |            0 | EC   | Emergency Closing        |      | EC - Emergency Closing         |
|             |         579 |                    | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 | -287000             |           0 |       348814 |        39.66 |       5875.1 |         1650 |              |              |              | HRM757       |      8877.43 |     93471.5  |            0 |            0 |      17.3451 | Locale 3     |              |      1225000 | There are    | MP           | yW =         |          100 |           30 |      1.89759e+06 |            4 |              |              |              | 24108.420955440462 |      39376.5 |      146.576 |            3 | February     | CSG - Service & Facility Charge per Meter | 0              |      6891    | Monday       | 0            | $35,000 to $49,999 |              |           18 |            0 |              |              |                                 |            6 |           10 |              |          310 | Total Hours  |              |              | MUC15-179 | MIPS     | Fuel matrix  |              | 4th District ……………  |      7.2088  |        17584 | 001A         |            0 | :            |            0 |            0 | EyeDiscover     |              |          419 |          210 | True         |           73 |         14.4 | Blank           | 0            | $50,000 to $74,999 |           74 |          156 |            0 |         3162 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |    -6.55512  |            9 |   22           | #REF!        |      78.5419 |          709 |            0 | VOTE | Voting                   |      | VOTE - Voting                  |
|             |         751 | 3393.7440137343947 | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 | -287000             |           0 |       348814 |        10.29 |      14477   |         1650 |              |              |              | HRM757       |      9149.56 |     26165    |            0 |            0 |      15      | Locale 3     |              |      1225000 | There are    | MP           | yW =         |          100 |           30 |      0           |            8 |              |              |              | 34524.705313448059 |      39362.5 |      150.487 |            3 | April        | CSG - Service & Facility Charge per Meter | 0              |      7402.4  | Wednesday    | 0.9          | $20,000 to $34,999 |              |           38 |            0 |              |              |                                 |            8 |           10 |              |          310 |              |              |              | MUC15-210 | MIPS     | Fuel matrix  |              | 2nd District ……………  |      7.24111 |        17584 | 001A         |            0 | :            |            0 |            0 | AV2 K-5         |              |          423 |          405 | True         |           82 |         14.4 | A1              |              | $50,000 to $74,999 |            0 |          156 |            0 |         3162 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |     1.72745  |            7 |   22           | #REF!        |      78.5419 |          239 |            0 | CCL  | Child Care Leave         |      | CCL - Child Care Leave         |
|             |        1029 | 1353.4865229370994 | B12, D12,F12, H12 |           0 | Best Discount (13 Month Moving Average) |     1305229 |         0.1 | -156.34674922600618 |           0 |       348814 |        10.29 |      14477   |         1650 |              |              |              | HRM757       |      9149.56 |     43402.7  |            0 |            0 |      17.3451 | Locale 3     |              |      1225000 | There are    | LB           | yW =         |          100 |           30 |      0           |            8 |              |              |              | 24108.420955440462 |      39367.5 |      150.487 |           22 | October      | CSG - Service & Facility Charge per Meter | MassSave       |      7012.52 | Saturday     | 0            | $20,000 to $34,999 |              |           18 |            0 |              |              |                                 |            1 |           10 | 20           |          310 |              |              |              | MUC15-1082 | IPFQR   | Fuel matrix  |              | 10th District …………… |      7.27954 |        17584 | 001A         |            0 | :            |            0 |            0 | AV2 3-8         |              |          419 |          210 | True         |           71 |         14.4 | C2              |              | Less than $20,000  |            0 |          156 |            0 |         3162 |            0 |              |              | HTC887       |            0 |          344 |            0 |           40 |     1.72745  |           11 |    2.49512e+06 | #REF!        |      78.5419 |          239 |            0 | WC   | Worker's Compensation    |      | WC - Worker's Compensation     |



label: AI
AJ
AL
labeled_data: Foreign_3
Foreign_82
Foreign_25
Foreign_13
Foreign_9
Foreign_90
Foreign_30
Foreign_7
Foreign_3
Foreign_73
Foreign_77
Foreign_92
Foreign_5
Foreign_11
Foreign_77
Foreign_43
Foreign_90
Foreign_13
Foreign_77
Foreign_13
Foreign_60
Foreign_82
Foreign_97
Foreign_82
Foreign_10
Foreign_3
Foreign_5
Foreign_7
Foreign_88
Foreign_10
Foreign_90
Foreign_73
Foreign_5
Foreign_90
Foreign_77
Foreign_6
Foreign_90
Foreign_92
Foreign_23
Foreign_90
Foreign_97
Foreign_30
Foreign_90
Foreign_9
Foreign_90
Foreign_92
Foreign_3
Foreign_26
Foreign_96
AI
AJ
AL
output: {"String-Relationship": [[["AI", "AJ"], "AL"]]}
source: $MMTU_HOME/resources/Relationship-finding/ST/table_372491___xlsx_bd8f0eeadc7a437595578da9528fd3051f17dc71.xlsx___line_1200