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 |   A |    B | C                      |   D |   E |   F |   G |   H | I                  | J                  | K                  |   L |   M |   N |   O |   P |   Q |   R |   S |   T |   U |   V |    W |   X |                Y |       Z |     AA |               AB |       AC |   AD |     AE |   AF |     AG |   AH |       AI |      AJ |       AK |   AL |               AM |               AN |      AO |               AP |       AQ |               AR |   AS |   AT |   AU |   AV |   AW |   AX |   AY |   AZ |   BA |   BB | BC   |   BD |   BE |     BF |       BG |   BH |     BI |   BJ |     BK |   BL |       BM |   BN |     BO |   BP | BQ   |               BR |      BS |               BT |
|------------:|------------:|------------:|------------:|:------------|------------:|------------:|:----------------------------|:-------------------|------------:|:-------------|:-------------|-------------:|-------------:|:-------------|:-------------|-------------:|-------------:|:-------------|-------------:|:-------------|-------------:|:-------------|-------------:|:-------------|:-------------|-------------:|:-------------|:-------------|-------------:|-------------:|-------------:|:---------------------------|-------------:|:-------------|:-------------|:-------------|-----------------:|:-------------|-------------:|:-------------|:-------------|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------|-------------:|:--------------|:-------------|-------------:|:-------------|:-------------|-------------:|:-------------|-------------:|:-------------|:------------------------------------------|-------------:|:---------------------------------|-------------:|:-------------|-------------:|:-----------------------|-------------:|-------------:|-------------:|:-------------|:-------------------|:-------------|:-------------|:-------------|:-------------------------------------------------------------------------|-------------:|-------------:|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------|:-------------|-------------:|-------------:|-------------:|:-------------|:--------------------------------------------------------|:-------------|-------------:|----:|-----:|:-----------------------|----:|----:|----:|----:|----:|:-------------------|:-------------------|:-------------------|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|-----:|----:|-----------------:|--------:|-------:|-----------------:|---------:|-----:|-------:|-----:|-------:|-----:|---------:|--------:|---------:|-----:|-----------------:|-----------------:|--------:|-----------------:|---------:|-----------------:|-----:|-----:|-----:|-----:|-----:|-----:|-----:|-----:|-----:|-----:|:-----|-----:|-----:|-------:|---------:|-----:|-------:|-----:|-------:|-----:|---------:|-----:|-------:|-----:|:-----|-----------------:|--------:|-----------------:|
|        -942 |       43920 |       12341 |           0 | #REF!       |     37.0347 |           0 | Gross Margin - Initial Sale | 272841.90999999997 |          30 | 0            |              |            0 |       6222.9 |              | HQN885       |     0.035111 |  1.12715e+08 |              |         23.9 |              |       828463 |              |            0 | #REF!        |              |      43821   | No           |              |     1588.5   |           16 |            0 | Place, Date MELBOURNE, AUS |       0.407  |              |              |              |      1.332e+06   | (enter name) |        44442 |              | HTC895       | =E5/E7       |           27 |            7 |          0.5 |      8.85908 |       596700 |            0 |  1.34856e+06 |            0 |           10 |      6.14296 |          180 | #DIV/0!      |              |      5477096 | Hp CB436A     |              |          118 |              |              |    0.233898  | 0            |      2867.72 |              | Credit risk  and counterparty credit risk |           28 | Air Cooled Chilled Water Plant   |     0.33     |              |          0.7 | Sewer                  |        15828 |            0 |       3548.9 |              | 10580.977599556929 |              |              | MMC3         | 11R 24.5 H front tires                                                   |            3 |            0 |              |     41079.4  |       299.95 |            0 |            2 |        15730 |              |              | #N/A         |            0 |         0.87 |         2470 |              | Other Materials and Supplies                            | Ton          |            0 | 125 | 7019 | Alderman Knight School |  54 |  36 |  90 |  14 |  10 | 62.8125            | 31.874999999999996 | 10.3125            | 198 |  57 |   0 |  40 |   0 |  29 |   0 |   9 |   0 |   7 |   0 |    0 | 114 |      1.81294e+06 | 1797688 | 1.1296 |      1.49e+06    | 101345   |    0 | 266721 |    0 | 322277 |    0 | 106676   |    0    | 145200   |    0 | 942220           |      2.43222e+06 |  619127 |      2.10913e+06 | 109.621  | 619127           |   57 |    0 |   40 |    0 |   29 |    0 |    9 |    0 |    7 |    0 |      |    0 |  208 | 1.1207 | 123863   |    0 | 326034 |    0 | 393936 |    0 | 130396   |    0 | 177491 |    0 |      |      1.15172e+06 | 1688333 |      2.84005e+06 |
|        -315 |       43920 |       12341 |           0 | #REF!       |     37.0347 |           0 | Repurchase Rate             | 12585.81           |          18 | 0            |              |            0 |       5599.3 |              | HQN885       |     0.035111 |  1.12715e+08 |              |         23.9 |              |       828463 |              |            0 | #REF!        |              |      43821   | No           |              |     3806.59  |            1 |        23205 | Place, Date MELBOURNE, AUS |       0.348  |              |              |              |  58983           | (enter name) |        44442 | 7            | HTC895       | =E5/E7       |           27 |            7 |          0.5 |      8.85908 |       596700 |            0 |  1.34856e+06 |            0 |           20 |      6.13019 |          180 | #DIV/0!      |              |      1037166 | Hp CC388a     |              |          118 |              |              |    0.189831  |              |     96820.2  |              | Credit risk  and counterparty credit risk |           26 | Air Cooled Chilled Water Plant   |     0.33     |              |          0.8 | Gas                    |         9459 |            0 |       3548.9 |              | 14154.515296618943 |              |              | MMC3         | 9000 lb 22.5 9” front steel rims, 315/80R 22.5 J             front tires |            3 |            0 |              |     95339.2  |       139.95 |            0 |            2 |         1304 |              |              | #N/A         |            0 |         0.87 |        17543 |              | Total Salaries & Wages                                  | Ton          |            0 | 126 | 7008 | The Ridge School       |  19 |  25 |  44 |  -2 |  -2 | 16.40909090909091  | 18.136363636363637 | 3.4545454545454546 |  58 |   8 |   0 |  18 |   0 |  19 |   0 |   5 |   0 |   5 |   0 | 1146 |  40 | 821866           |  820899 | 1.1589 | 475000           |  27405.7 |    0 | 165505 |    0 | 274336 |    0 |  76562.7 |    0    | 129003   |    0 | 672812           |      1.14781e+06 |  345626 | 820626           |  40.8918 | 345626           |    8 |    0 |   18 |    0 |   19 |    0 |    5 |    0 |    5 |    0 |      | 1146 |   65 | 1.0174 |  25109.4 |    0 | 154179 |    0 | 256459 |    0 |  71594.4 |    0 | 120923 |    0 |      | 628265           |  545833 |      1.1741e+06  |
|        -315 |       43920 |       12341 |           0 | #REF!       |     37.0347 |           0 | Repurchase Rate             |                    |         102 | 0            |              |         8500 |       3761.9 |              | HQN885       |     0.035111 |  5.60055e+07 |              |         23.9 |              |       828463 |              |            0 | #REF!        |              |       9272.7 | No           |              |     2267.61  |            0 |            0 | Place, Date MELBOURNE, AUS |       0.4365 |              |              |              |      2.25075e+06 | (enter name) |        44442 | 12           | HTC895       | =E5/E7       |           27 |            7 |          0.5 |      8.85908 |       596700 |            0 |  1.34856e+06 |            0 |            0 |      6.14296 |          180 | #DIV/0!      |              |            0 | Hp CB436A     |              |          118 |              |              |    0.233898  |              |    132459    |              | Credit risk  and counterparty credit risk |           38 | Unitary System                   |     0.33     | 2419900      |          1.1 | Other_________________ |         6753 |            0 |       3548.9 |              | 14579.650463173959 |              |              | MMC3         | 11R 24.5 G rear tires                                                    |            2 |            0 |              |     74405.2  |       329.95 |            0 |            2 |         1304 |              |              | #N/A         |            0 |         0.87 |        16614 |              | Vehicle Maintenance Salaries & Wages                    | Ton          |            0 | 127 | 7015 | Bettridge School       |  42 |  76 | 118 |   0 |   0 | 41.590163934426229 | 64.8032786885246   | 11.60655737704918  | 148 |   6 |   0 |  33 |   0 |  57 |   0 |  45 |   1 |   8 |   0 |  103 | 118 |      2.28598e+06 | 2291115 | 1.032  |      1.305e+06   |  10384   |    0 | 204540 |    0 | 584769 |    0 | 492078   | 5467.54 | 152455   |    0 |      1.44969e+06 |      2.75469e+06 | 1026693 |      2.33169e+06 | 122.528  |      1.02669e+06 |    6 |    0 |   33 |    0 |   57 |    0 |   45 |    1 |    8 |    0 |      |  103 |  148 | 0      |      0   |    0 |      0 |    0 |      0 |    0 |      0   |    0 |      0 |    0 |      |      0           | 1355000 |      1.355e+06   |
|        -315 |       43920 |       12341 |           0 | #REF!       |     37.0347 |           0 | Repurchase Rate             |                    |          54 |              |              |            0 |       5599.3 |              | HQN885       |     0.035111 |  1.12715e+08 |              |         23.9 |              |       828463 |              |            0 | #REF!        |              |      43821   | No           |              |     1588.5   |            0 |            0 | Place, Date MELBOURNE, AUS |       0.4365 |              |              |              |      0           | (enter name) |        44442 | 7            | HTC895       | =E5/E7       |           27 |            7 |          0.5 |      8.85908 |       596700 |            0 |  1.34856e+06 |            0 |            0 |      6.19037 |          180 | #DIV/0!      |              |     41502690 | Hp CB436A     |              |          118 |              |              |    0.189831  | 0            |     16967    |              | Credit risk  and counterparty credit risk |           19 | Unitary System                   |     0.225512 |              |          0.4 | Other_________________ |         9459 |            0 |       3548.9 |              | 11189.190353439672 |              |              | MMC3         | 8,000 lb 24.5” x 8.25” steel rear rims                                   |            3 |            0 |              |      2886.35 |       139.95 |            0 |            2 |        15730 |              |              | #N/A         |            0 |         0.87 |        17543 |              | Total Salaries & Wages                                  | Ton          |            0 | 130 | 7011 | The Peak Academy       |  27 |  28 |  55 |  -7 |  -8 | 5.8909090909090907 | 4.8000000000000007 | 1.3090909090909091 |  60 |  11 |   0 |  29 |   0 |  15 |   0 |   3 |   0 |   4 |   0 | 1321 |  40 | 786515           |  850381 | 1.0342 | 483333           |  35618.9 |    0 | 243204 |    0 | 195991 |    0 |  41537.6 |    0    |  92821.5 |    0 | 609173           |      1.09251e+06 |  181669 | 665002           |  26.6835 | 181669           |   11 |    0 |   29 |    0 |   15 |    0 |    3 |    0 |    4 |    0 |      | 1321 |   60 | 1.4092 |  50533.9 |    0 | 351209 |    0 | 284137 |    0 |  60239.1 |    0 | 134979 |    0 |      | 881098           |  516667 |      1.39777e+06 |
|        -942 |       43920 |       12341 |           0 | #REF!       |     37.0347 |           0 | Gross Margin - Initial Sale |                    |          78 |              |              |            0 |       7098.3 |              | HQN885       |     0.035111 |  1.12715e+08 |              |         23.9 |              |       828463 |              |            0 | #REF!        |              |       9272.7 | Yes          |              |      974.934 |            1 |        58500 | Place, Date MELBOURNE, AUS |       0.4365 |              |              |              |      2.01944e+06 | (enter name) |        44442 | 7            | HTC895       | =E5/E7       |           27 |            7 |          0.5 |      8.85908 |       596700 |            0 |  1.34856e+06 |            0 |            0 |      6.26741 |          180 | #DIV/0!      |              |       853121 | Samsung 3050A |              |          118 |              |              |    0.0915254 |              |    107712    |              | Credit risk  and counterparty credit risk |           26 | Water Cooled Chilled Water Plant |     0.33     |              |          0.1 | Sewer                  |        15828 |            0 |       3548.9 |              |                    |              |              | MMC3         | 11R 22.5 H rear tires                                                    |            2 |            0 |              |     11809.8  |       649.99 |            0 |            2 |        16751 |              |              | #N/A         |            0 |         0.87 |         3665 |              | Utilities, Leases, Taxes, Service & Administrative Fees | Ton          |            0 | 132 | 7005 | Coln House School      |  28 |  32 |  60 | -12 | -13 |                    |                    |                    |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |    0 |  35 |      1.88875e+06 | 1847316 | 1.0161 | 204167           |      0   |    0 |      0 |    0 |      0 |    0 |      0   |    0    |      0   |    0 |      0           | 204167           | 1409486 |      1.61365e+06 |  32.7635 |      1.40949e+06 |    0 |    0 |    0 |    0 |    0 |    0 |    0 |    0 |    0 |    0 | 30   |    0 |   60 | 0      |      0   |    0 |      0 |    0 |      0 |    0 |      0   |    0 |      0 |    0 | 0    |      0           |  495833 | 495833           |
|        -942 |       43920 |       12341 |           0 | #REF!       |     37.0347 |           0 | Repurchase Rate             | 65926.84           |          18 |              |              |            0 |       2449.5 |              | HQN885       |     0.035111 |  5.60055e+07 |              |         23.9 |              |       828463 |              |            0 | #REF!        |              |      43821   | No           |              |     2116.18  |            0 |        58500 | Place, Date MELBOURNE, AUS |       0.348  |              |              |              | 114912           | (enter name) |        44442 | 7            | HTC895       | =E5/E7       |           27 |            7 |          0.5 |      8.85908 |       596700 |            0 |  1.34856e+06 |            0 |            0 |      6.19037 |          180 | #DIV/0!      |              |      1037166 | Hp CB436A     |              |          118 |              |              |    0.250847  | 0            |     24374.7  |              | Credit risk  and counterparty credit risk |           38 | Water Cooled Chilled Water Plant |     0.33     | 1063852      |          0.4 | Electricity            |         6753 |            0 |       3548.9 |              |                    |              |              | MMC3         | 8,000 lb 24.5” x  8.25" steel front rims                                 |            3 |            0 |              |     74405.2  |       649.99 |            0 |            2 |         1304 |              |              | #N/A         |            0 |         0.87 |         3500 |              | Marketing, Advertising and Printing                     | Ton          |            0 | 137 | 7018 | Paternoster School     |  20 |  27 |  47 |   1 |   2 | 21.419999999999998 | 24.48              | 5.1000000000000005 |  60 |   4 |   0 |   9 |   0 |  18 |   0 |   8 |   0 |   4 |   0 | 1321 |  50 |      1.00429e+06 |  892024 | 0.9685 | 541667           |  11215.2 |    0 |  62968 |    0 | 194535 |    0 |  91534.9 |    0    |  76255.8 |    0 | 436509           | 978175           |  354746 | 896413           |  37.6902 | 354746           |    4 |    0 |    9 |    0 |   18 |    0 |    8 |    0 |    4 |    0 |      | 1321 |  130 | 0      |      0   |    0 |      0 |    0 |      0 |    0 |      0   |    0 |      0 |    0 |      |      0           |  966667 | 966667           |
|        -942 |       43920 |       12341 |           0 | #REF!       |     37.0347 |           0 | Repurchase Rate             | 61731.16           |          18 |              |              |            0 |       5564.6 |              | HQN885       |     0.035111 |  5.60055e+07 |              |         23.9 |              |       828463 |              |            0 | #REF!        |              |       9272.7 | No           |              |     3005.36  |            0 |        58500 | Place, Date MELBOURNE, AUS |       0.533  |              |              |              |      0           | (enter name) |        44442 | 0            | HTC895       | =E5/E7       |           27 |            7 |          0.5 |      8.85908 |       596700 |            0 |  1.34856e+06 |            0 |            0 |      6.15704 |          180 | #DIV/0!      |              |            0 | Hp CB436A     |              |          118 |              |              |    0.0915254 |              |     32062    |              | Credit risk  and counterparty credit risk |           15 | Air Cooled Chilled Water Plant   |     0.33     | 2419900      |          0.4 | Electricity            |         6753 |            0 |       3548.9 |              | 9420.9068225664796 |              |              | MMC3         | 11R 22.5 H front tires                                                   |            3 |            0 |              |     95339.2  |       139.95 |            0 |            2 |        16751 |              |              | #N/A         |            0 |         0.87 |         1620 |              | Vehicle and other Insurance                             | Ton          |            0 | 144 | 7024 | The Milestone School   | 117 | 167 | 284 |   7 |   9 | 121                | 144                | 29                 | 320 |  39 |   1 | 106 |   0 | 102 |   0 |  63 |   0 |   6 |   0 |    0 | 300 |      4.86573e+06 | 4856209 | 0.8923 |      3.08333e+06 |  54774.7 |  787 | 558328 |    0 | 895402 |    0 | 589863   |    0    |  98311.8 |    0 |      2.19747e+06 |      5.2808e+06  | 1986266 |      5.0696e+06  | 307.205  |      1.98627e+06 |   39 |    1 |  106 |    0 |  102 |    0 |   63 |    0 |    6 |    0 |      |    0 |    6 | 0      |      0   |    0 |      0 |    0 |      0 |    0 |      0   |    0 |      0 |    0 |      |      0           | 1285000 |      1.285e+06   |



labeled_data: Foreign_86
Foreign_49
Foreign_19
B
Foreign_46
Foreign_43
Foreign_3
Foreign_16
Foreign_46
Foreign_45
B
Foreign_1
Foreign_5
Foreign_46
Foreign_47
Foreign_6
Foreign_16
Foreign_15
Foreign_53
A
Foreign_75
Foreign_59
Foreign_16
Foreign_94
Foreign_59
Foreign_41
Foreign_38
Foreign_2
Foreign_80
Foreign_38
Foreign_92
Foreign_1
Foreign_44
Foreign_46
Foreign_94
Foreign_68
Foreign_38
Foreign_72
Foreign_98
output: {"String-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/ST/table_169341___xlsx_66b663b38467ea1c639f0c91c4bc5804ef937fb1.xlsx___line_205