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   |       T |       U |        V |                W | X   |        Y |
|------------:|:------------|------------:|:------------|------------:|:------------|------------:|------------:|------------:|:---------------|-------------:|:------------------------|:----------------|-------------:|:-------------|-------------:|:-------------|-------------:|-------------:|:-------------|-------------:|:-------------|-------------:|:-------------|:-------------|-------------:|-------------:|:-------------|-------------:|:-------------|-------------:|:-----------------------------------------|:-------------|:-------------|:-------------|:-------------|:-------------|:-------------|:-------------|-------------:|:-------------------------------------------------------|-------------:|:----------------|-------------:|-------------:|:-------------|-------------:|-------------:|:-------------------|:-------------|:-------------|-------------:|-------------:|:-------------|-------------:|:-------------|:-------------|-------------:|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|-----------------:|-------------:|:-------------|:-------------|-------------:|:-------------|:-------------------------------|-------------:|:-------------------|-------------:|-------------:|-------------:|:-------------|-------------:|-------------:|:-------------|:-------------------|:-------------|:-------------|-------------:|:--------------------------------------|:-------------|-------------:|:-------------|-------------:|-------------:|-------------:|:-------------|-------------:|-------------:|:-------------|-------------:|-------------:|-------------:|-------------:|:-------------|--------:|--------:|---------:|-----------------:|:----|---------:|
|           0 |             |           0 | Year1       |           0 |             |       38.75 |        -803 |         124 | Answer Missing |            0 | Contractual Adjustments | Bangalore Urban |         2021 |              |            0 | 16C          |      -0.0002 |         6354 |              |        41000 |              |         3490 | AEPW         | Kristian     |          0.1 |      16608.3 |              |  1.45557e+09 |              |      12328.9 | Arts & Science - 520                     | S26          |              |              | Prime        | Optional     |              | 6            |  0.0204713   | Revenue Expenditure funded from Borrowing              |           41 | Deborah Ellis   |          125 |           55 | A            |      89.9704 |            1 | 117509.44385876191 |              |              |      282.385 |            0 | Invoice Date |           13 |              |              |       400000 |              |          0.2 |         2803 |            0 |    11163.1   |          106 |      4.56262e+07 |      50907.9 |              |              |         2100 | Non-REIT     | MAINT. OF VEHICLE & C/ASSET    |         1923 | 385117.6300510274  |     140.141  |          101 |       123463 | DEN-10-09870 |            0 |    0.136364  | 25 - 34      | 29898.96580741959  | Ratio        |              |     0.020491 | Virginia's military member waivers    |              |            0 |              |            0 |      2.86023 |        97400 |              |       435275 |     14.5338  |              |         2308 |      49418.1 |         76.1 |            0 | Housing      | 19144   |  420000 | 9144.02  | 804049           |     | 9006.86  |
|           0 |             |           0 | Year 0      |           0 |             |       31    |           0 |         124 | Answer Missing |            0 | Contractual Adjustments |                 |         2021 |              |            0 | 72Q          |       0.0004 |         6354 |              |         3800 |              |         3490 | AEPW         | Kristian     |          0.1 |      16608.3 |              |  1.46429e+09 |              |          0   | Advancement - 300                        | S26          |              |              | Choice       | Optional     |              | 13+          |  7.70741e-05 | Third Party Capital Projects funded from Capital Grant |           41 | Helen Orme      |          149 |           55 | A            |     162.932  |            1 | 147140.47482936303 |              |              |      245.021 |            0 | Invoice Date |           43 |              |              |       400000 |              |          0.2 |         2803 |            0 |      216.501 |          106 |      4.56262e+07 |     193546   |              |              |          525 | Non-REIT     | CONSULTANCY                    |         1923 | 57671.520874494861 |     140.141  |          101 |       135166 | DEN-10-09870 |            0 |    1.08333   | Total        | 63135.967265524734 | Ratio        |              |     0.020491 | Virginia's military member waivers    |              |            0 |              |            0 |      2.86023 |        72200 |              |       435275 |      6.59474 |              |         3218 |      43446   |         75.2 |            0 |              | 15362   |  600000 | 5362.02  | 921721           |     | 5281.59  |
|           0 |             |           0 | Year 0      |           5 |             |       34.75 |           0 |         124 | Answer Missing |            0 | Contractual Adjustments |                 |         2021 |              |            0 | 07T          |       0.0013 |         6354 |              |         1500 |              |         3490 | AEPW         | Islam        |          0.1 |      16608.3 |              |  1.44397e+09 |              |      10300   | Athletics - 110                          | S26          |              |              | Utility      | Optional     |              | 1            | -0.000118306 | Revenue Expenditure funded from Borrowing              |           48 | Roderick Hunt   |          101 |           55 | A            |      84.12   |            1 |                    |              |              |      298.996 |            0 | Invoice Date |           43 |              |              |       400000 |              |          0.2 |         2803 |            0 |     5115.63  |          106 |      7.39039e+06 |     101917   |              |              |         1100 | Non-REIT     | OFFICE FURNITURE & EQUIP.      |         1923 | 129306.68582744684 |      38.2338 |          101 |       112772 | DEN-11-04317 |            0 |    1.77778   | Total        |                    | Ratio        | 0            |     0.020491 | Virginia's military dependent waivers |              |            0 |              |            0 |      2.86023 |        71900 |              |       435275 |     11.7313  |              |         6500 |      92354.4 |         76.1 |            0 | Utilities    | 19407.8 |  460000 | 9407.78  | 892758           |     | 9266.66  |
|           0 |             |           0 | Year 5      |           9 |             |       31    |           0 |         124 | Answer Missing |            0 | Contractual Adjustments |                 |         2021 |              |            0 | 05A          |       0.0013 |         7287 |              |         1500 |              |         3490 | EMDE         | Kristian     |          0.1 |      16608.3 |              |  1.4539e+09  |              |      10300   | Arts & Science - 520                     | S32          |              |              | Utility      | Standard     |              | 7            |  0.000102478 | Total Capital Expenditure                              |           25 | Em Bailey       |           53 |           55 | A            |     201.662  |            1 | 20893.964828048396 |              |              |      196.56  |            0 | Invoice Date |           43 |              |              |       400000 |              |          0.2 |         2803 |            0 |    11298.4   |          106 |      4.56262e+07 |     212092   |              |              |          225 | Non-REIT     | INVESTOR GUIDE                 |         1923 | 249111.06685866811 |      97.6255 |          101 |       107780 | DEN-11-04317 |            0 |    0.666667  | Not reported | 755.01382951016399 | Ratio        |              |     0.020491 | Virginia's military member waivers    |              |            0 |              |            0 |      2.86023 |        89600 |              |       435275 |     11.9304  |              |         1300 |      14524.8 |         79.5 |            0 | Total HOME   | 19992.5 |  410000 | 9992.52  | 819693           |     | 9842.64  |
|           0 |             |           0 | Year 0      |           0 |             |       34.75 |           0 |         124 | Answer Missing |            0 | Contractual Adjustments |                 |         2021 |              |            0 | 13T          |       0.0003 |         7287 |              |         1250 |              |         3490 | GRDA         | Lain-lain    |          0.1 |      16608.3 |              |  1.44863e+09 |              |      10300   | Finance & Admin – Controllers - 210      | S30          |              |              | Cull         | Optional     |              | 3            |  7.70741e-05 | Third Party Capital Projects funded from Capital Grant |           41 | Susan Gates     |          156 |           55 | A            |      19.2    |            1 | 1536.0705038851484 |              |              |      213.854 |            0 | Invoice Date |          143 |              |              |       400000 |              |          0.2 |         2803 |            0 |    11644.4   |          106 |      3.46684e+07 |     212092   |              |              |          500 | Non-REIT     | OVERSEAS EXHIBITION/TRADE FAIR |         1923 | 539012.08847743843 |      38.2338 |          101 |       135166 | DEN-10-09870 |            0 |    0.0869565 | 65 and over  | 10039.947400677307 | Ratio        |              |     0.020491 | Virginia's military dependent waivers |              |            0 |              |            0 |      2.86023 |        68700 |              |       435275 |      4.66961 |              |         1300 |      84165.4 |         75.2 |            0 |              | 17128.5 |  470000 | 7128.55  | 805042           |     | 7021.62  |
|           0 |             |           0 | Year 0      |           5 |             |       27    |       -2847 |         124 | Answer Missing |            0 | Contractual Adjustments |                 |         2021 |              |            0 | 00Q          |      -0.0002 |         7287 |              |        41000 |              |         3490 | EMDE         | Islam        |          0.1 |      16608.3 |              |  1.44397e+09 |              |          0   | Finance & Admin – Controllers - 210      | S31          |              |              | Prime        | Optional     |              | 4            |  7.70741e-05 | Total Capital Expenditure                              |           52 | Julia Donaldson |          101 |           55 | A            |      44      |            1 | 90213.733952857147 |              |              |      191.889 |            0 | Invoice Date |           43 |              |              |       400000 |              |          0.2 |         2803 |            0 |     5115.63  |          106 | 140991           |      18546.2 |              |              |          800 | Non-REIT     | PRODUCTIVITY AWARD             |         1923 | 57671.520874494861 |     140.141  |          101 |       123463 | DEN-10-09870 |            0 |    0.923077  | 15 - 24      | 51576.353601123439 | Ratio        |              |     0.020491 | Virginia's military member waivers    |              |            0 |              |            0 |      2.86023 |        68700 |              |       435275 |      6.59474 |              |         1430 |      25680.5 |         75.9 |            0 |              | 14108.5 |  790000 | 4108.47  |      1.11457e+06 |     | 4046.84  |
|           0 |             |           0 | Year 0      |           5 |             |       34.75 |           0 |         124 | Answer Missing |            0 | Contractual Adjustments |                 |         2021 |              |            0 | 12F          |       0.0027 |         7287 |              |        27400 |              |         3490 | AEPW         | Lain-lain    |          0.1 |      16608.3 |              |  1.4874e+09  |              |          0   | Law - 540                                | S29          |              |              | Choice       | Standard     |              | 1            | -0.000118306 | Total Capital Expenditure                              |           48 | Jim Pipe        |           53 |           55 | A            |     270      |            1 | 90213.733952857147 |              |              |      320.871 |            0 | Invoice Date |           13 |              |              |       400000 |              |          0.2 |         2803 |            0 |    11297.9   |          106 | 182089           |      34416.8 |              |              |          300 | Non-REIT     | MISCELLANUEOUS                 |         1923 | 92702.026532532705 |      38.2338 |          101 |       120699 | DEN-11-04317 |            0 |    0.219512  | 35 - 44      | 755.01382951016399 | Ratio        | 0            |     0.020491 | Virginia's military member waivers    |              |            0 |              |            0 |      2.86023 |        68700 |              |       435275 |      2.37356 |              |         7280 |      37423.9 |         81.9 |            0 | Housing      | 10575.4 | 1780000 |  575.449 |      1.88243e+06 |     |  566.817 |
|           0 |             |           0 | Year1       |           5 |             |       27    |           0 |         124 | Answer Missing |            0 | Contractual Adjustments |                 |         2021 |              |            0 | 15D          |       0.003  |         7287 |              |        41000 |              |         3490 | EMDE         | Lain-lain    |          0.1 |      16608.3 |              |  1.49366e+09 |              |          0   | Finance & Admin – Capital Projects - 200 | S28          |              |              | Utility      | Optional     |              | 6            | -0.000118306 | Revenue Expenditure funded from Borrowing              |           55 | David Grant     |          149 |           55 | A            |      83.1173 |            1 | 132023.40128277944 |              |              |      205.052 |            0 | Invoice Date |           78 |              |              |       400000 |              |          0.2 |         2803 |            0 |     3283.38  |          106 | 182089           |      24850.9 |              |              |          675 | Non-REIT     | STATIONARY                     |         1923 | 129306.68582744684 |     140.141  |          101 |       123463 | DEN-10-09870 |            0 |    0.515152  | 35 - 44      | 755.01382951016399 | Ratio        |              |     0.020491 | Foreign exchange student waivers      |              |            0 |              |            0 |      2.86023 |        97400 |              |       435275 |      3.20054 |              |         6760 |      43446   |         75.4 |            0 | Total HOME   | 18045.4 |  820000 | 8045.4   |      1.47972e+06 |     | 7924.72  |
|           0 |             |           0 | Year 3      |           4 |             |       31    |           0 |         124 | Answer Missing |            0 | Contractual Adjustments |                 |         2021 |              |            0 | 11N          |       0.0004 |         6354 |              |        27400 |              |         3490 | GRDA         | Buddha       |          0.1 |      16608.3 |              |  1.4874e+09  |              |      12328.9 | Athletics - 110                          | S28          |              |              | Cull         | Standard     |              | 11           |  0.000102478 | Total Capital Expenditure                              |           62 | Toby Forward    |           17 |           55 | A            |      46.5    |            1 | 20893.964828048396 |              |              |      296.186 |            0 | Invoice Date |           43 |              |              |       400000 |              |          0.2 |         2803 |            0 |     3283.38  |          106 |      3.46684e+07 |     101917   |              |              |          120 | Non-REIT     | STATIONARY                     |         1923 |                    |      38.2338 |          101 |       115355 | DEN-10-09870 |            0 |    0.785714  | 55 - 64      |                    | Ratio        |              |     0.020491 | Virginia's military dependent waivers |              |            0 |              |            0 |      2.86023 |        72200 |              |       435275 |      8.385   |              |         1300 |      69120.9 |         76.1 |            0 | Total HOME   | 17224   | 1060000 | 7224.03  |      1.82575e+06 |     | 7115.67  |
|           0 |             |           0 | Year 3      |           5 |             |       27    |       -2847 |         124 | Answer Missing |            0 | Contractual Adjustments |                 |         2021 |              |            0 | 07K          |       0.0024 |         7287 |              |         5000 |              |         3490 | AEPW         | Kristian     |          0.1 |      16608.3 |              |  1.4539e+09  |              |          0   | Finance & Admin – Audit - 240            | S25          |              |              | Cull         | Optional     |              | 6            |  0.0204713   | Third Party Capital Projects funded from Capital Grant |           58 | James Patterson |           77 |           55 | A            |     118.6    |            1 | 42042.0488870548   |              |              |      218.035 |            0 | Invoice Date |          143 |              |              |       400000 |              |          0.2 |         2803 |            0 |    11298.4   |          106 | 182089           |          0   |              |              |          400 | Non-REIT     | MISCELLANUEOUS                 |         1923 | 207455.00402810337 |      97.6255 |          101 |       105367 | DEN-10-09870 |            0 |    4         | Not reported |                    | Ratio        |              |     0.020491 | Unfunded Scholarships                 |              |            0 |              |            0 |      2.86023 |        75700 |              |       435275 |     12.3544  |              |         1300 |      55662.6 |         75.4 |            0 | Other        | 12644.3 | 1150000 | 2644.27  |      1.45409e+06 |     | 2604.6   |



labeled_data: Foreign_83
Foreign_26
Foreign_22
Foreign_10
Foreign_47
Foreign_17
Foreign_25
Foreign_31
Foreign_78
Foreign_74
Foreign_25
Foreign_83
Foreign_76
Foreign_52
Foreign_25
T
Foreign_89
Foreign_57
Foreign_25
Foreign_73
Foreign_44
Foreign_92
Foreign_44
Foreign_13
Foreign_0
Foreign_26
Foreign_59
Foreign_75
Foreign_31
Foreign_74
output: {"String-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/ST/table_455425___xlsx_916691afa10be4ea597a431a4e3268fb8adfb93b.xlsx___line_614