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 |   BU |   BV |       BW |   BX |   BY |        BZ |        CA | CB                 | CC                 |       CD |   CE |
|------------:|------------:|------------:|:------------|:------------|------------:|:------------|:------------|------------:|------------:|-------------:|:-------------|:-------------|-------------:|:--------------------|:-------------|:-------------|-------------:|-------------:|:-------------|--------------:|:-------------|-------------:|-------------:|-------------:|:-------------|:-------------|:-------------|:-------------|:-------------------|:---------------|-------------:|:------------------------|-------------:|:-------------|:-------------|-------------:|:-----------------------------------------------|-------------:|-------------:|:-------------|-------------:|-------------:|:-------------|-------------:|-------------:|:-------------|:-------------------|-------------:|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------|----------------:|-------------:|-------------:|-------------:|-------------:|-------------:|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|:-------------|-------------:|-------------:|-------------:|:-----------------------------|:-------------|-------------:|:-------------|:-------------|-------------:|:-------------|-------------:|-------------:|:-------------|-------------:|:-------------|:-------------|:-------------|:-------------|-------------:|-------------:|-------------:|:-------------------------------|:-------------|:-------------|:-------------------|:-------------|-------------:|:-------------|-------------:|-----:|-----:|---------:|-----:|-----:|----------:|----------:|:-------------------|:-------------------|---------:|-----:|
|     1479.36 |     40354.5 |           2 |             |             |           0 | FI117A      | ADMIN:      |      732269 |     1484.28 |         70.1 | Item 3       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |         0    |      8527.22 |              |   0.001055    |              |            1 |          109 |           12 |              | £            |              | State Agency | 126844.53608450828 | Not unreliable |     62470881 | Central Luzon           |            0 |              | Evaluation   |       409393 | State Grants and Contracts - Restricted        |          137 |     82511245 |              |      6950900 |       213772 |              |     1677.77  |            5 | February     | 5872.0038461538461 |         2500 |        -16.9 |         2024 |         2018 |            7 | A3           |              | 49712.1         |            0 |           13 |            1 |           90 |           19 |              |            0 |         5000 |            9 |      3.97523 |        13492 |         3500 |            0 |     90000000 |              |         6.11 |        60.68 |          159 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          440 |            0 |              |            0 | #N/A         |              |              | 12           |           24 |         2031 |           34 | PRACTICAL: PIANO/KEYBOARD (OR) | 2023-2024    | Cycle start  |                    | 3 Bedrooms   |           14 | serum        |      178.125 |    1 | 2017 |  91147.2 |    6 |  156 |   3505.66 | 0.006158  |                    |                    |  3505.66 |    0 |
|     1479.36 |     40354.5 |          31 |             |             |           0 | FI117A      |             |      732269 |     1484.28 |         70.1 | Item 3       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |         0    |      9143.26 |              |   1           |              |            1 |           40 |            6 |              | £            |              | State Agency | 7065.3             | Not unreliable |     62470881 | National Capital Region |            0 |              | Evaluation   |       409393 | Available University Fund Excellence (See FN8) |           75 |    163450196 |              |       980000 |       223675 |              |      242.457 |           10 | December     | 5872.0038461538461 |         1000 |        -16.9 |         2028 |         2018 |            7 | A1           |              |     1.10991e+06 |            0 |           13 |           11 |           90 |           19 |              |            0 |         5000 |            9 |      4.14718 |        13780 |         3500 |            0 |     90000000 |              |         6.1  |        57.08 |           91 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          300 |            0 |              |       295286 | #N/A         |              |              | 11           |           24 |         2027 |           28 | AURAL AND ENSEMBLE             | 2027-2028    | Cycle start  | 9268.9599999999991 | 0            |           14 | serum        |      178.125 |    2 | 2018 |  91547   |   18 |  156 |  10563.1  | 0.0141929 | 3505.6615384615384 | 24.877676703296629 |  7032.58 |    0 |
|     1479.36 |     40354.5 |          12 |             |             |           0 | FI117A      | ADMIN:      |      732269 |     1484.28 |         70.1 | Item 3       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |     12908.3  |      9396.72 |              |   0.000453515 |              |            1 |          108 |            1 |              | £            |              | Other        |                    | Not unreliable |     62470881 | Northern Mindanao       |            0 |              | Evaluation   |       409393 | Research Development Funds                     |          137 |     51956720 | 1            |     28446340 |       223675 |              |     8193.89  |            3 | April        | 68076.084615384607 |         2500 |        -16.9 |         2029 |         2018 |            7 | A1           |              | 49712.1         |            0 |           13 |            0 |           90 |           19 |              |            0 |         5000 |            9 |      3.9553  |        19344 |         3500 |            0 |     50000000 |              |         6.7  |        74.64 |          199 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          300 |            0 |              |            0 | #N/A         |              |              | 13           |           24 |         2032 |           27 | PRACTICAL: BRASS (OR)          | 2026-2027    | Cycle start  |                    | 1 Bedroom    |           14 | serum        |      178.125 |    3 | 2019 |  91959.8 |   30 |  156 |  17684.6  | 0.0226083 | 10563.115384615385 | 238.81443365384581 |  6882.65 |    0 |
|     1479.36 |     40354.5 |          31 |             |             |           0 | FI117A      |             |      732269 |     1484.28 |         70.1 | Item 4       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |      1008    |      8705.77 |              |   0.02832     |              |            1 |           62 |            6 |              | £            |              | Other        | 31475.099057637846 | Not unreliable |     62470881 | National Capital Region |            0 |              | Evaluation   |       409393 | Available University Fund Excellence (See FN8) |          146 |    193767104 | 1            |            0 |       223675 |              |      883.463 |            3 | April        | 1162.9640384615384 |          950 |        -16.9 |         2022 |         2018 |            7 | A1           |              |     1.10991e+06 |            0 |           13 |            4 |           90 |           19 |              |            0 |         5000 |            9 |      2.36247 |         2192 |         3500 |            0 |     50000000 |              |         6.6  |        13.74 |          166 | Alarm system and flow meters |              |      30.6967 |              |              |            0 | FoodNet      |          100 |            0 |              |       295286 | #N/A         |              |              | 1            |           24 |         2025 |           31 | PRACTICAL: BASS GUITAR (OR)    |              | Cycle start  |                    | 1 Bedroom    |           14 | serum        |      178.125 |    5 | 2021 |  92641.8 |   54 |  156 |  32068.3  | 0.035111  | 24792.330769230768 | 870.48352563846163 |  6405.49 |    0 |
|     1147.05 |     40354.5 |           2 |             |             |           0 | FI117A      |             |      732269 |     1484.28 |         70.1 | Item 3       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |         0    |      8705.77 |              |   1           |              |            1 |           32 |            2 |              | £            |              | State Agency | 49586.842817326389 | Not unreliable |     62470881 | CALABARZON              |            0 |              | Evaluation   |       409393 | Available University Fund Excellence (See FN8) |          159 |    199810600 |              |        36000 |       178355 |              |     6058.36  |            3 | June         | 84095.684615384613 |          700 |        -16.9 |         2030 |         2018 |            7 | A1           |              | 49712.1         |            0 |           13 |            4 |           90 |           19 | #N/A         |            0 |         5000 |            9 |      2.30051 |        14473 |         3500 |            0 |     30000000 |              |         6.6  |        52.91 |           70 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          400 |            0 |              |       295286 | #N/A         |              |              | 5            |           24 |         2033 |           26 | PRACTICAL: GUITAR (OR)         | 2028-2029    | Cycle start  | 9268.9599999999991 | 0            |           14 | serum        |      178.125 |    7 | 2023 |  96262.8 |   78 |  156 |  48131.4  | 0.035111  | 39902.751961715207 | 1401.0255241277828 |  6827.61 |    0 |
|     1147.05 |     40354.5 |           0 |             |             |           0 | FI117A      | ADMIN:      |      732269 |     1484.28 |         70.1 | Item 4       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |        91.67 |      8521.33 |              |   0.000453515 |              |            1 |          107 |            0 |              | ¤            |              | Other        | 79981.791850965543 | Not unreliable |     62470881 |                         |            0 |              | Evaluation   |       409393 | State Grants and Contracts - Restricted        |          146 |     67687500 |              |            0 |       223675 |              |      923.679 |            3 | April        | 17299.892500000002 |         7000 |        -16.9 |         2026 |         2018 |            7 | A1           |              |     1.10991e+06 |            0 |           13 |            4 |           90 |           19 |              |            0 |         5000 |            9 |      4.17902 |        13492 |         3500 |            0 |     33000000 |              |         6.11 |        19.73 |          131 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          400 |          173 |              |       295286 | #N/A         |              |              | 5            |           24 |         2031 |           34 | IMPROVISATION                  | 2023-2024    | Cycle start  | 9268.9599999999991 | 1 Bedroom    |           14 | serum        |      178.125 |    8 | 2024 |  98209.2 |   90 |  156 |  56659.2  | 0.035111  | 48131.389991306743 | 1689.9412339847713 |  6837.84 |    0 |
|     1593.07 |     40354.5 |           0 |             |             |           0 | FI117A      |             |      732269 |     1484.28 |         70.1 | Item 2       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |       498    |      8616.68 |              |   3.59971e-06 |              |            1 |           40 |            0 |              | £            |              | Other        | 102457.79488939969 | Not unreliable |     62470881 | Zamboanga Peninsula     |            0 |              | Evaluation   |       409393 | Research Development Funds                     |          159 |    314248316 |              |            0 |       208986 |              |      923.679 |            7 | January      | 60644.763192307699 |         7000 |        -16.9 |         2025 |         2018 |            7 | A1           |              |     1.10991e+06 |            0 |           13 |            9 |           90 |           19 |              |            0 |         5000 |            9 |      2.09237 |        19344 |         3500 |            0 |    140000000 |              |         6.13 |        53.84 |          219 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          500 |           21 |              |            0 | #N/A         |              |              | 16           |           24 |         2031 |           35 | AURAL AND ENSEMBLE             | 2024-2025    | Cycle start  |                    | 1 Bedroom    |           14 | serum        |      178.125 |   10 | 2026 | 102759   |  114 |  156 |  75093    | 0.035111  | 65684.384783735048 | 2306.2444341417213 |  7102.41 |    0 |
|     1479.36 |     40354.5 |           2 |             |             |           0 | FI117A      |             |      732269 |     1484.28 |         70.1 | Item 6       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |       498    |      9396.72 |              |   3.59971e-06 |              |            1 |          107 |            0 |              | £            |              | Other        | 69422.105063592564 | Not unreliable |     62470881 | Northern Mindanao       |            0 |              | Evaluation   |       409393 | State Grants and Contracts - Restricted        |          146 |     85673950 |              |            0 |       195262 |              |     1650.69  |            3 | April        | 84095.684615384613 |          700 |        -16.9 |         2024 |         2018 |            7 | A1           |              |     1.10991e+06 |            0 |           13 |            1 |           90 |           19 |              |            0 |         5000 |            9 |      3.53678 |        13492 |         3500 |            0 |     30000000 |              |         6.5  |        23.07 |           71 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          400 |            0 |              |       295286 | #N/A         |              |              | 11           |           24 |         2033 |           34 | AURAL AND ENSEMBLE             | 2023-2024    | Cycle start  | 9268.9599999999991 | 2 Bedrooms   |           14 | serum        |      178.125 |   11 | 2027 | 105112   |  126 |  156 |  84898.2  | 0.035111  | 75093.042669159477 | 2636.5918211568587 |  7168.58 |    0 |
|     1593.07 |     40354.5 |          31 |             |             |           0 | FI117A      | ADMIN:      |      732269 |     1484.28 |         70.1 | Item 2       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |       498    |      8527.22 |              |   0.0001055   |              |            1 |          108 |           10 |              | £            |              | State Agency | 69422.105063592564 | Not unreliable |     62470881 | CALABARZON              |            0 |              | Evaluation   |       409393 | Available University Fund Excellence (See FN8) |          159 |    211932248 | 1            |            0 |       199734 |              |     6922.74  |            3 | June         | 1162.9640384615384 |         1000 |        -16.9 |         2024 |         2018 |            7 | A3           |              |     1.10991e+06 |            0 |           13 |            9 |           90 |           19 |              |            0 |         5000 |            9 |      3.68815 |        14473 |         3500 |            0 |     60000000 |              |         6.16 |        20.08 |            4 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          100 |            0 |              |       295286 | #N/A         |              |              | 8            |           24 |         2028 |           34 | PRACTICAL: WOODWIND (OR)       | 2026-2027    | Cycle start  | 9268.9599999999991 | 0            |           14 | serum        |      178.125 |   12 | 2028 | 107519   |  138 |  156 |  95113.1  | 0.035111  | 84898.217909049898 | 2980.8613290046515 |  7234.01 |    0 |
|     1479.36 |     40354.5 |          31 |             |             |           0 | FI117A      |             |      732269 |     1484.28 |         70.1 | Item 5       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |         0    |     28769.1  |              | 158.97        |              |            1 |           80 |            0 |              | £            |              | State Agency | 114404.45198556088 | Not unreliable |     62470881 | CALABARZON              |            0 |              | Evaluation   |       409393 | Research Development Funds                     |           75 |    195154518 |              |            0 |       223675 |              |      883.463 |            7 | January      |                    |          500 |        -16.9 |         2030 |         2018 |            7 | A1           |              |     1.10991e+06 |            0 |           13 |            4 |           90 |           19 |              |            0 |         5000 |            9 |      1.32614 |        14473 |         3500 |            0 |    140000000 |              |         6.16 |        20.08 |          188 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          100 |            0 |              |            0 | #N/A         |              |              | 2            |           24 |         2026 |           36 | PRACTICAL: GUITAR (OR)         | 2026-2027    | Cycle start  |                    | 0            |           14 | serum        |      178.125 |   13 | 2029 | 109981   |  150 |  156 | 105751    | 0.035111  | 95113.090632421139 | 3339.515725194939  |  7298.68 |    0 |
|     1147.05 |     40354.5 |          12 |             |             |           0 | FI117A      |             |      732269 |     1484.28 |         70.1 | Item 1       | L/W=         |            1 | Date  of retirement | 2017-2018    |              |         0    |      9313.18 |              |   0.02832     |              |            1 |          107 |           10 |              | £            |              | State Agency | 23036.651860993465 | Not unreliable |     62470881 | CALABARZON              |            0 |              | Evaluation   |       409393 | Higher Education Assistance Funds              |          159 |     67687500 |              |      6950900 |       223675 |              |     2965.91  |            7 | April        | 17299.892500000002 |         7000 |        -16.9 |         2027 |         2018 |            7 | A1           |              |     1.10991e+06 |            0 |           13 |            9 |           90 |           19 |              |            0 |         5000 |            9 |      2.21111 |         2192 |         3500 |            0 |    140000000 |              |         6.6  |        95.26 |          157 | Alarm system and flow meters | 0            |      30.6967 |              |              |            0 | FoodNet      |          920 |           40 |              |            0 | #N/A         |              |              |              |           24 |         2030 |           30 | PRACTICAL: PIANO/KEYBOARD (OR) | 2023-2024    | Cycle start  | 9268.9599999999991 | 0            |           14 | serum        |      178.125 |   14 | 2030 | 129181   |  156 |  156 | 129181    | 0.035111  | 105751.28305206911 | 1856.5166496205993 | 21573.1  |    0 |



labeled_data: Foreign_90
Foreign_31
Foreign_6
Foreign_51
Foreign_8
Foreign_5
Foreign_59
Foreign_9
Foreign_59
Foreign_10
Foreign_59
Foreign_15
Foreign_36
Foreign_59
Foreign_49
Foreign_31
Foreign_59
Foreign_55
Foreign_33
Foreign_59
Foreign_60
Foreign_41
Foreign_59
Foreign_48
Foreign_64
Foreign_59
Foreign_50
Foreign_76
Foreign_59
Foreign_55
Foreign_69
Foreign_63
Foreign_1
Foreign_89
output: {"String-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/ST/table_160765___xlsx_6f711150417a6d645139a67a002fa2c12689bb28.xlsx___line_328