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     |
|------------:|------------:|:------------|:------------|------------:|------------:|:------------|------------:|:------------|:------------|-------------:|-------------:|:-------------|:-------------|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|-------------:|:-----------------|:-------------|:--------------|-------------:|:-------------|:-------------|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------|-------------:|-------------:|:-------------|-------------:|:-------------|:---------------|-------------:|-------------:|:-------------|-------------:|:-------------|:-----------------------|-------------:|:---------------|:----------------------------------|:----------------|:-------------------|:-------------|:-------------|-------------:|:-------------|:-------------|-------------:|-------------:|-------------:|-------------:|-------------:|:-------------|:-------------------|:---------------|-------------:|-------------:|:-----------------------------------|-------------:|:-------------|-------------:|-------------:|-------------:|:-------------|:----------------|-------------:|-------------:|:-------------|:---------------------------------------------------|-------------:|:-------------|:-------------|-------------:|-------------:|-------------:|:--------------|-------------:|-------------:|-------------:|:-------------|-------------:|-------------:|-------------:|:----------------|:-------------|-------------:|:-------------|:------|:------|:------|:----|:------|:------|:----|:------|:------|:------|:------|
|           0 |           0 | #1          |             |           0 |           0 |             |        1194 | Correct     |             |          102 |         0.2  | DD           | #DIV/0!      | higher       |            0 |            0 |       229598 |    0.0487874 |           68 |            1 |    145632500 |            0 |    0.396334  |       109000 |            0 | Citations Issued | SD           | Insignificant |      4.43377 |              |              |            4 |         0.87 |        36039 |            7 |              |              |         2004 |            2 |              |     -121.345 |              | Scale Factor = |            0 |      71787   |              |         2045 |              | etc.                   |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | No Change       | 75.488924999999995 | HTH844       | N/A          |         0    |              |              |      6.30655 |            2 |            0 |            2 |     1018.11  |              | 360.5851315691217  | Worcester      |           72 |       117374 | Credential Attainment Rate         |     185.345  |              |           64 |            9 |            0 |              | Chief           |           11 |            0 |              | Noise Assessment and utility availability Services |            0 |              |              |          434 |           22 |            0 | 2070.70724204 |         1630 |          107 |     793.258  | #REF!        |            6 |      2287.71 |            4 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        3409 | Correct     |             |          102 |         0.45 | 6327         | #DIV/0!      | lower        |            0 |            0 |       229598 |    0.0487874 |           99 |            1 |    145632500 |            0 |    0.0947495 |       143500 |            0 | Citations Issued | SD           | Insignificant |      4.43377 |              |              |            4 |         0.87 |        21103 |            7 |              |              |         2004 |            2 |              |     2256.09  |              | Scale Factor = |            5 |      71787   |              |         2005 |              | E.g. Engineer          |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | No Change       | 132.57125662484003 | HTH844       | N/A          |         0    |              |              |      6.33695 |           11 |            0 |            7 |     1447.36  |              | 2267.5309097383492 | Calvert        |           72 |       117374 | Credential Attainment Rate         |     182.718  |              |          107 |            9 |            0 |              | Chief           |           10 |            0 |              | Noise Assessment and utility availability Services |            0 |              |              |         1160 |           38 |            0 | #REF!         |         1630 |          107 |     782.514  | #REF!        |            7 |     82108.3  |            4 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        1194 | Correct     |             |          102 |         0.2  | 6330         | #DIV/0!      | higher       |            0 |            0 |       229598 |    0.0487874 |           82 |            1 |    145632500 |            0 |    0.251854  |       109000 |            0 | Citations Issued | SD           | Insignificant |      4.43377 |              |              |            4 |         0.87 |         4677 |            7 |              |              |         2010 |            2 |              |     2256.09  |              | Scale Factor = |            0 |      90245.4 |              |         1513 |              | etc.                   |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | No Change       | 75.488924999999995 | HTH844       | N/A          |         0    |              |              |      6.41058 |            1 |            0 |            4 |      508.834 |              |                    | Cecil          |           72 |       117374 | Employed 2nd Qtr After Exit        |     107.592  |              |          129 |            9 |            0 |              | Middle Atlantic |           14 |            0 |              | Noise Assessment and utility availability Services |            0 |              |              |         1160 |           26 |            0 | #REF!         |         1630 |          107 |     128.398  | #REF!        |            5 |      2287.71 |            4 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |         365 | Correct     |             |          102 |         0.45 | F20/21-24    | #DIV/0!      | lower        |            0 |            0 |       229598 |    0.0487874 |          114 |            1 |    145632500 |            0 |    0.282768  |       149400 |            0 | Citations Issued | SD           | Insignificant |      4.43377 |              |              |            4 |         0.87 |        79178 |            7 |              |              |         1992 |            2 |              |     -121.345 |              | Scale Factor = |            0 |      75112.5 |              |         1933 |              | E.g. Senior consultant |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | No Change       | 109.49190900000001 | HTH844       | N/A          |         0    |              |              |      6.30655 |            1 |            0 |            5 |     1018.11  |              |                    | Saint Mary's   |           72 |       117374 | Median Wage 2nd Quarter After Exit |     169.118  |              |          129 |            9 |            0 |              | Middle Atlantic |            2 |            0 |              | Fire protection analysis                           |            0 |              |              |         8695 |           35 |            0 | #REF!         |         1630 |          107 |     128.188  | #REF!        |            6 |    203389    |            0 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        1194 | Correct     |             |          102 |         0.2  |              | #DIV/0!      | lower        |            0 |            0 |       229598 |    0.0487874 |          114 |            1 |    145632500 |            0 |    0.333902  |       109000 |            0 | Citations Issued | SD           | Insignificant |      4.43377 |              |              |            4 |         0.87 |        79178 |            7 | 10:00-12:00  |              |         1972 |            2 |              |     -121.345 | 1.26         | Scale Factor = |            0 |      76832.6 |              |         1493 |              | E.g. Engineer          |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | Positive Change | 144.80062799999999 | HTH844       | N/A          |      9598.86 |              |              |      6.37502 |           17 |            0 |            4 |     2632.23  |              | 1852.366900633564  | Talbot         |           72 |       117374 | Employed 4th Qtr After Exit        |     161.219  |              |          756 |            9 |            0 |              | Chief           |            8 |            0 |              | Fire protection analysis                           |            0 |              |              |          280 |           22 |            0 | #REF!         |         1630 |          107 |     128.398  | #REF!        |            1 |    203389    |            0 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |         365 | Correct     |             |          102 |         0.2  | F20/21-23    | #DIV/0!      | higher       |            0 |            0 |       229598 |    0.0487874 |           82 |            1 |    145632500 |            0 |    0.0947495 |       167800 |            0 | Citations Issued | SD           | Insignificant |      4.43377 |              |              |            4 |         0.87 |         8120 |            7 | 10:00-12:00  |              |         2005 |            2 |              |     2256.09  |              | Scale Factor = |            0 |      71787   |              |         1493 |              | etc.                   |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | Positive Change | 135.978036         | HTH844       | N/A          |      9598.86 |              |              |      6.33695 |            1 |            0 |            4 |     3010.95  |              |                    | Queen Anne's   |           72 |       117374 | Employed 4th Qtr After Exit        |     372.272  |              |          515 |            9 |            0 |              | Middle Atlantic |            4 |            0 |              | Fire protection analysis                           |            0 |              |              |         8695 |           17 |            0 | #REF!         |         1630 |          107 |     102.144  | #REF!        |            3 |    203389    |            4 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        1657 | Correct     |             |          102 |         0.45 | DD           | #DIV/0!      | lower        |            0 |            0 |       229598 |    0.0487874 |           70 |            1 |    145632500 |            0 |    0.0947495 |       109000 |            0 | Citations Issued | SD           | Insignificant |      4.43227 |              |              |            4 |         0.87 |         9327 |            7 | 10:00-12:00  |              |         2000 |            2 |              |     3319.98  |              | Scale Factor = |            0 |      76832.6 |              |         1493 |              | E.g. Senior engineer   |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | No Change       | 180.69692499999999 | HTH844       | N/A          |         0    |              |              |      6.37502 |            2 |            0 |            7 |     3010.95  |              | 2267.5309097383492 | Frederick      |           72 |       117374 | Credential Attainment Rate         |      92.3    |              |          177 |            9 |            0 |              | Chief           |            6 |            0 |              | Fire protection analysis                           |            0 |              |              |         5173 |           17 |            0 | #REF!         |         1630 |          107 |     658.504  | #REF!        |            1 |     82108.3  |            4 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        1657 | Correct     |             |          102 |         0.2  | 6327         | #DIV/0!      | higher       |            0 |            0 |       229598 |    0.0487874 |           82 |            1 |    145632500 |            0 |    0.238368  |       103900 |            0 | Citations Issued | SD           | Insignificant |      4.43377 |              |              |            4 |         0.87 |         9327 |            7 | 10:00-12:00  |              |         1992 |            2 |              |     -942.543 |              | Scale Factor = |            0 |      90245.4 |              |         2003 |              | etc.                   |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | No Change       | NA                 | HTH844       | N/A          |      9598.86 |              |              |      6.33695 |            1 |            0 |            6 |      805.204 |              |                    | Montgomery     |           72 |       117374 | Median Wage 2nd Quarter After Exit |     136.751  |              |           86 |            9 |            0 |              | Middle Atlantic |           12 |            0 |              | Noise Assessment and utility availability Services |            0 |              |              |          280 |           38 |            0 | #REF!         |         1630 |          107 |     934.674  | #REF!        |            4 |     82108.3  |            0 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        1657 | Correct     |             |          102 |         0.2  | F20/21-24    | #DIV/0!      | lower        |            0 |            0 |       229598 |    0.0487874 |           74 |            1 |    145632500 |            0 |    0.384291  |       109000 |            0 | Citations Issued | SD           | Insignificant |      4.43377 |              |              |            4 |         0.87 |         8120 |            7 | 10:00-12:00  |              |         1995 |            2 |              |    15577.1   |              | Scale Factor = |            0 |      65571.2 |              |         1778 |              | etc.                   |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | Positive Change | 101.734525         | HTH844       | N/A          |         0    |              |              |      6.41058 |            7 |            0 |            1 |     2060.32  |              | 709.31255977318187 | Baltimore City |           72 |       117374 | Employed 2nd Qtr After Exit        |     100.1    |              |          191 |            9 |            0 |              | Middle Atlantic |           14 |            0 |              | Wetlands Investigation                             |            0 |              |              |          213 |           26 |            0 | 2070.70724204 |         1630 |          107 |     128.398  | #REF!        |            9 |     82108.3  |            0 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        2396 | Correct     |             |          102 |         0.2  | DD           | #DIV/0!      | lower        |            0 |            0 |       229598 |    0.0487874 |           54 |            1 |    145632500 |            0 |    0.222222  |       109000 |            0 | Citations Issued | SD           | Insignificant |      4.43377 |              |              |            4 |         0.87 |        36039 |            7 |              |              |         2004 |            2 |              |     2597.34  |              | Scale Factor = |            0 |      65571.2 |              |         2003 |              | E.g. Technician        |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | Positive Change | NA                 | HTH844       | N/A          |         0    |              |              |      6.37502 |            1 |            0 |            7 |      617.94  |              | 1073.8226097401418 | Calvert        |           72 |       117374 | Employed 2nd Qtr After Exit        |     202.573  |              |           50 |            9 |            0 |              | Chief           |            7 |            0 |              | Fire protection analysis                           |            0 |              |              |          213 |           38 |            0 | #REF!         |         1630 |          107 |     327.771  | #REF!        |            3 |    120621    |            0 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        3409 | Correct     |             |          102 |         0.2  | F20/21-19    | #DIV/0!      | higher       |            0 |            0 |       229598 |    0.0487874 |           74 |            1 |    145632500 |            0 |    0.0890411 |       122900 |            0 | Citations Issued | SD           | Insignificant |      4.43227 |              |              |            4 |         0.87 |        19122 |            7 | 10:00-12:00  |              |         1981 |            2 |              |     -942.543 |              | Scale Factor = |            0 |      75112.5 |              |         1778 |              | E.g. Technician        |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | Positive Change | 132.57125662484003 | HTH844       | N/A          |         0    |              |              |      6.41058 |           13 |            0 |            4 |      653.626 |              |                    | Saint Mary's   |           72 |       117374 | Credential Attainment Rate         |     284.899  |              |          540 |            9 |            0 |              | Middle Atlantic |            6 |            0 |              | Wetlands Investigation                             |            0 |              |              |         5564 |           26 |            0 | #REF!         |         1630 |          107 |      98.8431 | #REF!        |           11 |    120621    |            4 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |         365 | Correct     |             |          102 |         0.45 | 6328         | #DIV/0!      | lower        |            0 |            0 |       229598 |    0.0487874 |           99 |            1 |    145632500 |            0 |    0.0947495 |       122900 |            0 | Citations Issued | SD           | Insignificant |      4.43227 |              |              |            4 |         0.87 |        21103 |            7 | 10:00-12:00  |              |         2005 |            2 |              |    15577.1   |              | Scale Factor = |            0 |      65571.2 |              |         2045 |              | E.g. Senior consultant |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | Positive Change | 124.586539         | HTH844       | N/A          |         0    |              |              |      6.37502 |            1 |            0 |            7 |      805.204 |              | 2267.5309097383492 | Kent           |           72 |       117374 | Median Wage 2nd Quarter After Exit |     169.118  |              |           72 |            9 |            0 |              | Middle Atlantic |           11 |            0 |              | Fire protection analysis                           |            0 |              |              |        13391 |           22 |            0 | #REF!         |         1630 |          107 |     748.824  | #REF!        |            4 |    203389    |            0 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        2396 | Correct     |             |          102 |         0.2  | F20/21-28    | #DIV/0!      | higher       |            0 |            0 |       229598 |    0.0487874 |           74 |            1 |    145632500 |            0 |    0.376746  |       109000 |            0 | Citations Issued | SD           | Insignificant |      4.43227 |              |              |            4 |         0.87 |        79178 |            7 | 10:00-12:00  |              |         1977 |            2 |              |     2597.34  |              | Scale Factor = |            0 |      73431   |              |         1778 |              | etc.                   |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | Positive Change | 180.69692499999999 | HTH844       | N/A          |      9598.86 |              |              |      6.33695 |            1 |            0 |            8 |     2632.23  |              | 1073.8226097401418 | Cecil          |           72 |       117374 | Employed 2nd Qtr After Exit        |     269.516  |              |        17955 |            9 |            0 |              | Chief           |            6 |            0 |              | Noise Assessment and utility availability Services |            0 | Official     |              |         8695 |           35 |            0 | 2070.70724204 |         1630 |          107 |     793.258  | #REF!        |           12 |     82108.3  |            0 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        2396 | Correct     |             |          102 |         0.45 | F20/21-20    | #DIV/0!      | higher       |            0 |            0 |       229598 |    0.0487874 |           74 |            1 |    145632500 |            0 |    0.282768  |       149400 |            0 | Citations Issued | SD           | Insignificant |      4.43227 |              |              |            4 |         0.87 |         9327 |            7 |              |              |         1960 |            2 |              |     3319.98  |              | Scale Factor = |            0 |      75112.5 |              |         2005 |              | etc.                   |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | No Change       | 54.186             | HTH844       | N/A          |         0    |              |              |      6.30655 |            1 |            0 |            4 |      508.834 |              | 2475.6765281726243 | Worcester      |           72 |       117374 | Credential Attainment Rate         |     254.201  |              |           40 |            9 |            0 |              | Middle Atlantic |            4 |            0 |              | Fire protection analysis                           |            0 |              |              |          195 |           38 |            0 | #REF!         |         1630 |          107 |      99.741  | #REF!        |           11 |      2287.71 |            0 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |
|           0 |           0 | #1          |             |           0 |           0 |             |        1194 | Correct     |             |          102 |         0.45 | DD           | #DIV/0!      | higher       |            0 |            0 |       229598 |    0.0487874 |           74 |            1 |    145632500 |            0 |    0.0947495 |       103900 |            0 | Citations Issued | SD           | Insignificant |      4.43227 |              |              |            4 |         0.87 |        36039 |            7 | 10:00-12:00  |              |         1974 |            2 |              |     3319.98  |              | Scale Factor = |            0 |      90245.4 |              |         1513 |              | E.g. Senior engineer   |        208.1 | Fall Headcount | State Highway 3, Sanson, Manawatu | No Change       | NA                 | HTH844       | N/A          |      1412.87 |              |              |      6.37502 |            1 |            0 |            6 |      311.986 |              |                    | Washington     |           72 |       117374 | Median Wage 2nd Quarter After Exit |      89.1702 |              |           40 |            9 |            0 |              | Chief           |            9 |            0 |              | Fire protection analysis                           |            0 |              |              |          280 |           26 |            0 | #REF!         |         1630 |          107 |     190.511  | #REF!        |            7 |      2287.71 |            4 | a® t©f-7_x0001_ |              |            0 |              | #REF! | #REF! | #REF! |     | #REF! | #REF! |     | #REF! | #REF! | #REF! | #REF! |



labeled_data: Foreign_24
Foreign_4
Foreign_39
Foreign_10
Foreign_1
Foreign_10
Foreign_20
Foreign_28
Foreign_51
Foreign_27
Foreign_24
Foreign_68
Foreign_5
Foreign_90
output: {"String-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/ST/table_369471___xlsx_78d4efab72bc176ae1f2700ed8afb51b07cf862e.xlsx___line_582