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     | P   | Q   | R   | S     |
|------------:|:------------|:------------|------------:|------------:|------------:|:------------|:---------------------------------|:------------|:-------------------------|-------------:|:-------------|:-------------|:-------------------|:-------------|-------------:|:-------------|:-------------|:-------------|:-------------|:-------------|-------------:|-------------:|:-------------|-------------:|-------------:|:-------------|:-------------|:-------------|-------------:|:-------------|-------------:|-------------:|:-------------|:---------------------|:-------------|:-------------|:-------------|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|:------------------------------|:-------------|:-------------|:-------------|-------------:|:-------------|:-------------------|-------------:|-------------:|-------------:|-------------:|:-------------|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------|-------------:|-------------:|:-------------|:---------------------------|-------------:|:-------------|-------------:|:-------------|-------------:|-------------:|-------------:|:-------------|:-------------|:-------------|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------|-------------:|-------------:|:------------------------|:-------------|-------------:|-------------:|:---------------|:----|:----|:----|:------|
|           0 |             | Y-intercept |     7196028 |       68.75 |        2255 | MARVEL      | Changes in forestry incentives   |             | Deadband Lower Threshold |           44 |              |              | 15644.794871794869 | Capital Fund |            0 |              |              | trans        | OBE2         |              |           55 |            8 | #REF!        |            0 |         2034 |              | Potted       |              |      263.739 |              |     0.541667 |        94.25 |              | Wed 17 Dec 6:58 a.m. |              |              |              | 20           |           12 |           23 |           95 |          178 |            0 |         2005 |     0.035111 |            6 |     548.982  | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |        0.2   |              | 6th District …………… |         5000 |          104 |       129119 |      1308473 |              |           13 |       414172 |  2.2568e+07  |        14.15 |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |      1174.19 | J            |           24 |          106 |        35816 | Match        |              |              | $500-$1000   |           30 |            0 |  6.89129e+10 |      42151.5 |            0 |      8.31582 |      106.528 |         12.3 |            0 |        44071 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Tahoe        |        14023 |            0 | Enter Forecast | COE |     | PM  | COEPM |
|           0 |             | Y-intercept |     7196028 |       68.75 |           0 | MARVEL      | The costs of extraction decrease |             | Deadband Upper Threshold |           44 |              | NA           | 84274.547995272995 | Capital Fund |            0 |              |              | trans        | OBE2         |              |           55 |            0 | #REF!        |           25 |         2032 |              | Potted       |              |      263.739 |              |     0.541667 |        94.25 |              | Wed 17 Dec 6:58 a.m. |              |              |              | 21           |           12 |            2 |           95 |          178 |            0 |         2009 |     0.035111 |           51 |     297.113  | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |      147.677 |              | 7th District …………… |         5000 |          104 |       129119 |       221858 |              |           13 |            0 |  2.30791e+07 |        14.3  |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     15899.5  | J            |           24 |           26 |        59604 | Year         |              |              | $3000-$4000  |           30 |            0 |  6.89129e+10 |      42151.5 |            0 |     18.7959  |      106.371 |         21.6 |            0 |        44057 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Silverado    |        14023 |            0 | Enter Forecast |     |     |     |       |
|           0 |             | Slope       |     7196028 |       68.75 |        2450 | MARVEL      | Changes in forestry incentives   |             | Deadband Upper Threshold |           44 |              | NA           | 131479.8152187065  | Capital Fund |            0 |              |              | trans        | OBE2         |              |           55 |           12 | #REF!        |           25 |         2029 |              | Potted       |              |      263.739 |              |     0.541667 |       101    |              | Wed 17 Dec 6:58 a.m. |              |              |              |              |            0 |            1 |           95 |          178 |            0 |         2009 |     0.035111 |            6 |     297.113  | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |        3.651 |              | 2nd District …………… |         5000 |          104 |       129119 |      1643468 |              |           13 |            0 |  2.30791e+07 |        14.39 |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     14705.6  | J            |           24 |           20 |        59604 | ProgramID    |              |              | <$500        |           72 |            0 |  6.89129e+10 |      42151.5 |            0 |      8.46273 |      106.361 |         17.5 |            0 |        44029 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Silverado    |          259 |            0 | Enter Forecast | GS  |     | PM  | GSPM  |
|           0 |             | Y-intercept |     7196028 |       68.75 |        1351 | MARVEL      | Changes in forestry incentives   |             | Deadband Upper Threshold |           19 |              |              | 5245.4410256410256 | Capital Fund |            0 |              |              | trans        | OBE2         |              |           47 |           16 | #REF!        |          224 |         2027 |              | Potted       |              |      263.739 |              |     0.541667 |        95.25 |              | Wed 17 Dec 6:58 a.m. |              |              |              | 24           |            0 |            1 |           95 |          178 |            0 |         2009 |     0.035111 |           59 |     277.999  | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |        3.651 |              | 2nd District …………… |         5000 |          104 |       129119 |       839514 |              |           13 |            0 |  2.25442e+07 |      1211    |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     14858.2  | J            |           24 |          106 |        35341 | ProgramID    |              |              | <$500        |           14 |            0 |  6.89129e+10 |      42151.5 |            0 |     56.4261  |      106.361 |         12.5 |            0 |        44071 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Colorado     |        16327 |            0 | Enter Forecast | GS  |     | PM  | GSPM  |
|           0 |             | Slope       |     7196028 |       68.75 |        2450 | MARVEL      | Changes in forestry incentives   |             | Deadband Lower Threshold |           19 |              |              | 27981.315384615384 | Capital Fund |            0 |              |              | trans        | OBE2         |              |           61 |           12 | #REF!        |            0 |         2037 |              | Portions     |              |      263.739 |              |     0.541667 |        86    |              | Wed 17 Dec 6:58 a.m. |              |              |              | 26           |            0 |            2 |           95 |          178 |            0 |         2005 |     0.035111 |           18 |     339.906  | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |        0     |              | 2nd District …………… |         5000 |          104 |       129119 |      1185814 |              |           13 |            0 |  2.30754e+07 |      1200.5  |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     14438.5  | J            |           24 |           36 |        35341 | Match        |              |              | <$500        |           38 |            0 |  6.89129e+10 |      42151.5 |            0 |     17.4     |      106.361 |         11.9 |            0 |        44029 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Tahoe        |          259 |            0 | Enter Forecast |     |     |     |       |
|           0 |             | Y-intercept |     7196028 |       68.75 |           0 | MARVEL      | The costs of extraction decrease |             | Deadband Upper Threshold |           19 |              |              | 115123.55814820797 | Capital Fund |            0 |              |              | trans        | OBE2         |              |           47 |            0 | #REF!        |            0 |         2034 |              | Loose        |              |      263.739 |              |     0.541667 |        94.75 |              | Wed 17 Dec 6:58 a.m. |              |              |              | 26           |           12 |            5 |           95 |          710 |            0 |         2009 |     0.035111 |           21 |     284.575  | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |        3.651 |              | 6th District …………… |         5000 |          104 |       129119 |      3700768 |              |           13 |       273284 |  2.2568e+07  |        14.33 |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     15608.1  | J            |           24 |           36 |        35341 | ProgramID    |              |              | $1000-$1500  |           93 |            0 |  6.89129e+10 |      42151.5 |            0 |     26.2083  |      106.493 |         23.1 |            2 |        44071 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Tahoe        |        16327 |            0 | Enter Forecast |     |     |     |       |
|           0 |             | Slope       |     7196028 |       68.75 |        2450 | MARVEL      | Changes in forestry incentives   |             | Deadband Lower Threshold |           19 |              |              | 42230.685897435898 | Capital Fund |            0 |              |              | trans        | OBE2         |              |           55 |           20 | #REF!        |          224 |         2036 |              | Loose        |              |      263.739 |              |     0.541667 |       101    |              | Wed 17 Dec 6:58 a.m. |              |              |              | 20           |            0 |            3 |           95 |          178 |            0 |         2009 |     0.035111 |           26 |     289.058  | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |      130.667 |              | 4th District …………… |         5000 |          104 |       129119 |     19395422 |              |           13 |       112928 |  2.25442e+07 |        71.89 |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     15311.2  | J            |           24 |           20 |         5901 | Year         |              |              | $2000-$3000  |           14 |            0 |  6.89129e+10 |      42151.5 |            0 |     18.7959  |      106.371 |         25.5 |            0 |        44029 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Traverse     |        16327 |            0 | Enter Forecast |     |     |     |       |
|           0 |             | Slope       |     7196028 |       68.75 |        2117 | MARVEL      | Changes in forestry incentives   |             | Deadband Upper Threshold |           44 |              |              | 5245.4410256410256 | Capital Fund |            0 |              |              | trans        | OBE2         |              |           61 |            8 | #REF!        |         2962 |         2036 |              |              |              |      263.739 |              |     0.541667 |        86    |              | Wed 17 Dec 6:58 a.m. |              |              |              |              |            0 |            5 |           95 |          367 |            0 |         2009 |     0.035111 |           20 |     353.945  | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |        0     |              | 2nd District …………… |         5000 |          104 |       129119 |      8324800 |              |           13 |        39945 |  2.30754e+07 |      1197    |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     14552.4  | J            |           24 |           20 |         2275 | Match        |              |              | <$500        |          155 |            0 |  6.89129e+10 |      42151.5 |            0 |     20.1483  |      106.599 |         24.5 |            0 |        44043 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Tahoe        |        14023 |            0 | Enter Forecast |     |     |     |       |
|           0 |             | Slope       |     7196028 |       68.75 |        2852 | MARVEL      | The costs of extraction decrease |             | Deadband Lower Threshold |           44 |              |              |                    | Capital Fund |            0 |              |              | trans        | OBE2         |              |           55 |           12 | #REF!        |            8 |         2036 |              | Potted       |              |      263.739 |              |     0.541667 |        94.25 |              | Wed 17 Dec 6:58 a.m. |              |              |              | 23           |            0 |           23 |           95 |          367 |            0 |         2009 |     0.035111 |           20 |     537.692  | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |      130.667 |              | 4th District …………… |         5000 |          104 |       129119 |      5288881 |              |           13 |            0 |  2.25442e+07 |      1200.5  |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     15754.5  | J            |           24 |           24 |        18942 | ProgramID    |              |              | $2000-$3000  |          284 |            0 |  6.89129e+10 |      42151.5 |            0 |     18.2976  |      106.493 |         12.3 |            0 |        44071 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Silverado    |        16327 |            0 | Enter Forecast |     |     |     |       |
|           0 |             | Slope       |     7196028 |       68.75 |        2852 | MARVEL      | The costs of extraction decrease |             | Deadband Upper Threshold |           44 |              |              | 42230.685897435898 | Capital Fund |            0 |              |              | trans        | OBE2         |              |           61 |            0 | #REF!        |           25 |         2024 |              | SMALL        |              |      263.739 |              |     0.541667 |        96    |              | Wed 17 Dec 6:58 a.m. |              |              |              |              |           12 |            5 |           95 |          367 |            0 |         2005 |     0.035111 |            0 |      58.5258 | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |      230.919 |              | 5th District …………… |         5000 |          104 |       129119 |      3917606 |              |           13 |        78992 |  2.25442e+07 |      1198.5  |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     14858.2  | J            |           24 |           20 |         2275 | Federal      |              |              | $1500-$2000  |          103 |            0 |  6.89129e+10 |      42151.5 |            0 |     18.2976  |      106.493 |         24.5 |            0 |        44064 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Silverado    |          259 |            0 | Enter Forecast |     |     |     |       |
|           0 |             | Slope       |     7196028 |       68.75 |        2450 | MARVEL      | The costs of extraction decrease |             | Deadband Lower Threshold |           44 |              |              | 15644.794871794869 | Capital Fund |            0 |              |              | trans        | OBE2         |              |           55 |            8 | #REF!        |            8 |         2028 |              | Potted       |              |      263.739 |              |     0.541667 |        96    |              | Wed 17 Dec 6:58 a.m. |              |              |              |              |            0 |            3 |           95 |          178 |            0 |         2009 |     0.035111 |           25 |      31.9928 | Suppored Debt Based on LTV of | (9)          | cm³/mol      |              |        3.651 |              | 2nd District …………… |         5000 |          104 |       129119 |      1185814 |              |           13 |            0 |  2.2568e+07  |      1195.5  |              | Electricity  |            0 |            0 |              | Office Expenses - Subtotal |            2 |              |     15311.2  | J            |           24 |           20 |        35816 | Match        |              |              | $500-$1000   |           38 |            0 |  6.89129e+10 |      42151.5 |            0 |     11.9263  |      106.361 |         24.5 |            0 |        44029 |              |              |            0 |        11.48 | Signature:  RYAN TAYLOR | Traverse     |        14023 |            0 | Enter Forecast | GS  |     | PM  | GSPM  |



label: P
R
S
labeled_data: Foreign_23
Foreign_50
Foreign_69
Foreign_29
Foreign_19
Foreign_83
Foreign_41
Foreign_41
Foreign_49
Foreign_84
Foreign_45
Foreign_56
Foreign_34
Foreign_45
Foreign_60
Foreign_25
Foreign_83
Foreign_74
P
R
S
output: {"String-Relationship": [[["P", "R"], "S"]]}
source: $MMTU_HOME/resources/Relationship-finding/ST/table_167457___xlsx_482595f25e9ca4f0600682ef4276bebcb097eae8.xlsx___line_283