Task: Arithmetic-Relationship (source dataset: Auto-Relate)

You are given a table with numerical values in multiple columns. Your task is to analyze the data and identify semantic relationships, expressed in arithmetic relationships, that exist between columns.

These relationships may involve any combination of the following operations: addition (+), subtraction (−), multiplication (*), and division (/). The expressions can involve two or more columns and may be nested (e.g., B = (A + C) / D).

Please only identify arithmetic relationships that hold semantically based on the data, and do not return relationships that are likely spurious, e.g., (A = B * 0), where A is an all 0 column. Please only return minimal atomic relationships, e.g., if A = B + C and D = E + F, then there is no need to return A = B + C + E + F - D.

No explanation, return all the formula(s) in JSON format: {"Arithmetic-Relationship": [<list-of-formulas>]}. If no relationship is found, return {"Arithmetic-Relationship": []}.

Input Table:
|   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                     |
|----:|-----:|:---------|:-----------|:---------------|:-----------|:----------|----:|----:|----:|----:|----:|----:|----:|----:|----:|-----------:|-----------:|------------:|----:|----:|----:|----:|----:|----:|-----------:|-----------:|-----------:|-----:|-----:|-----:|-----:|-----:|-----:|:-----------------------|:-----------------------|:-----------------------|-----:|-----:|-----:|-----:|-----:|-----:|:-----------------------|:-----------------------|:-----------------------|-----:|-----:|-----:|-----:|-----:|-----:|:-----------------------|:-----------------------|:-----------------------|-----:|-----:|-----:|-----:|-----:|-----:|:---------------------|:-----------------------|:-----------------------|:-----------------------|
|   1 | 2015 | Region B | District A | Subdistrict A1 | Village 1  | School 1  |  58 |  48 | 106 |  45 |  54 |  99 |  45 |  51 |  96 |  0         | -0.0555556 | -0.0277778  |  35 |  32 |  67 |  40 |  40 |  80 |  0.142857  |  0.25      |  0.196429  |   34 |   27 |   61 |   32 |   33 |   65 | -5.8823529411764705E-2 | 0.22222222222222221    | 8.1699346405228745E-2  |   31 |   54 |   85 |   14 |   33 |   47 | -0.54838709677419351   | -0.3888888888888889    | -0.46863799283154117   |   40 |   34 |   74 |   33 |   33 |   66 | -0.17499999999999999   | -2.9411764705882353E-2 | -0.10220588235294117   |   25 |   24 |   49 |   26 |   32 |   58 | 0.04                 | 0.33333333333333331    | 0.18666666666666665    | -2.2304511410298877E-2 |
|   2 | 2015 | Region B | District A | Subdistrict A1 | Village 2  | School 2  |  47 |  51 |  98 |  63 |  56 | 119 |  25 |  35 |  60 | -0.603175  | -0.375     | -0.489087   |  41 |  39 |  80 |  30 |  24 |  54 | -0.268293  | -0.384615  | -0.326454  |   53 |   25 |   78 |   21 |   27 |   48 | -0.60377358490566035   | 0.08                   | -0.2618867924528302    |   34 |   36 |   70 |   40 |   33 |   73 | 0.17647058823529413    | -8.3333333333333329E-2 | 4.65686274509804E-2    |   34 |   39 |   73 |   18 |   16 |   34 | -0.47058823529411764   | -0.58974358974358976   | -0.5301659125188537    |   49 |   38 |   87 |   11 |   22 |   33 | -0.77551020408163263 | -0.42105263157894735   | -0.59828141783028999   | -0.35988447178490035   |
|   3 | 2015 | Region B | District A | Subdistrict A1 | Village 3  | School 3  |  28 |  28 |  56 |  37 |  22 |  59 |  34 |  23 |  57 | -0.0810811 |  0.0454545 | -0.0178133  |  26 |  14 |  40 |  29 |  15 |  44 |  0.115385  |  0.0714286 |  0.0934066 |   27 |   13 |   40 |   29 |   24 |   53 | 7.407407407407407E-2   | 0.84615384615384615    | 0.46011396011396011    |   36 |   26 |   62 |   33 |   14 |   47 | -8.3333333333333329E-2 | -0.46153846153846156   | -0.27243589743589747   |    9 |   24 |   33 |    9 |   22 |   31 | 0                      | -8.3333333333333329E-2 | -4.1666666666666664E-2 |    0 |    0 |    0 |   18 |   12 |   30 | #DIV/0!              | #DIV/0!                | #DIV/0!                | 4.4320944320944328E-2  |
|   4 | 2015 | Region B | District A | Subdistrict A2 | Village 4  | School 4  |  15 |  19 |  34 |  56 |  33 |  89 |  31 |  28 |  59 | -0.446429  | -0.151515  | -0.298972   |  20 |  20 |  40 |  19 |  21 |  40 | -0.05      |  0.05      |  0         |   25 |   15 |   40 |   20 |   26 |   46 | -0.2                   | 0.73333333333333328    | 0.26666666666666661    |   29 |   31 |   60 |   12 |   17 |   29 | -0.58620689655172409   | -0.45161290322580644   | -0.51890989988876524   |   20 |   20 |   40 |   20 |   19 |   39 | 0                      | -0.05                  | -2.5000000000000001E-2 |   19 |   18 |   37 |   10 |   24 |   34 | -0.47368421052631576 | 0.33333333333333331    | -7.0175438596491224E-2 | -0.10773175554840857   |
|   5 | 2015 | Region B | District A | Subdistrict A2 | Village 5  | School 5  |  33 |  30 |  63 |  23 |  35 |  58 |  43 |  34 |  77 |  0.869565  | -0.0285714 |  0.420497   |  27 |  40 |  67 |  40 |  27 |  67 |  0.481481  | -0.325     |  0.0782407 |   18 |   35 |   53 |   31 |   17 |   48 | 0.72222222222222221    | -0.51428571428571423   | 0.10396825396825399    |   38 |   26 |   64 |   26 |   38 |   64 | -0.31578947368421051   | 0.46153846153846156    | 7.2874493927125528E-2  |   22 |   23 |   45 |   23 |   18 |   41 | 4.5454545454545456E-2  | -0.21739130434782608   | -8.5968379446640319E-2 |   19 |   31 |   50 |    9 |    5 |   14 | -0.52631578947368418 | -0.83870967741935487   | -0.68251273344651953   | -1.5483454974516975E-2 |
|   6 | 2015 | Region B | District A | Subdistrict A2 | Village 6  | School 6  |   0 |   0 |   0 |  74 |  23 |  97 |   0 |   0 |   0 | -1         | -1         | -1          |  11 |  12 |  23 |   0 |   0 |   0 | -1         | -1         | -1         |    0 |    0 |    0 |    0 |    0 |    0 | #DIV/0!                | #DIV/0!                | #DIV/0!                |    0 |    0 |    0 |    0 |    0 |    0 | #DIV/0!                | #DIV/0!                | #DIV/0!                |    0 |    0 |    0 |    0 |    0 |    0 | #DIV/0!                | #DIV/0!                | #DIV/0!                |   10 |   15 |   25 |    0 |    0 |    0 | -1                   | -1                     | -1                     | #DIV/0!                |
|   7 | 2015 | Region B | District A | Subdistrict A2 | Village 7  | School 7  |  18 |  22 |  40 |  24 |  18 |  42 |  22 |  24 |  46 | -0.0833333 |  0.333333  |  0.125      |  16 |  23 |  39 |  10 |  19 |  29 | -0.375     | -0.173913  | -0.274457  |   16 |   15 |   31 |   11 |   11 |   22 | -0.3125                | -0.26666666666666666   | -0.2895833333333333    |   20 |   20 |   40 |   18 |   16 |   34 | -0.1                   | -0.2                   | -0.15000000000000002   |   18 |   12 |   30 |    9 |   15 |   24 | -0.5                   | 0.25                   | -0.125                 |   26 |   22 |   48 |   13 |   12 |   25 | -0.5                 | -0.45454545454545453   | -0.47727272727272729   | -0.19855209705753185   |
|   8 | 2015 | Region B | District A | Subdistrict A2 | Village 8  | School 8  |  66 |  60 | 126 |  44 |  42 |  86 |  39 |  40 |  79 | -0.113636  | -0.047619  | -0.0806277  |  28 |  40 |  68 |  16 |  33 |  49 | -0.428571  | -0.175     | -0.301786  |   26 |   32 |   58 |   39 |   41 |   80 | 0.5                    | 0.28125                | 0.390625               |   32 |   34 |   66 |   25 |   24 |   49 | -0.21875               | -0.29411764705882354   | -0.2564338235294118    |   18 |    9 |   27 |   18 |    9 |   27 | 0                      | 0                      | 0                      |   35 |   36 |   71 |   14 |   20 |   34 | -0.6                 | -0.44444444444444442   | -0.52222222222222214   | -0.12840741094417565   |
|   9 | 2015 | Region B | District B | Subdistrict B1 | Village 9  | School 9  |  55 |  60 | 115 |  22 |  22 |  44 |  13 |  11 |  24 | -0.409091  | -0.5       | -0.454545   |   9 |  16 |  25 |   9 |  17 |  26 |  0         |  0.0625    |  0.03125   |   22 |   27 |   49 |   13 |   15 |   28 | -0.40909090909090912   | -0.44444444444444442   | -0.4267676767676768    |    7 |   12 |   19 |    6 |   13 |   19 | -0.14285714285714285   | 8.3333333333333329E-2  | -2.976190476190476E-2  |   12 |   24 |   36 |   10 |   20 |   30 | -0.16666666666666666   | -0.16666666666666666   | -0.16666666666666666   |   14 |   23 |   37 |   22 |   30 |   52 | 0.5714285714285714   | 0.30434782608695654    | 0.43788819875776397    | -0.10143391733065649   |
|  10 | 2015 | Region B | District B | Subdistrict B1 | Village 10 | School 10 |   4 |   5 |   9 |  10 |  10 |  20 |  12 |  12 |  24 |  0.2       |  0.2       |  0.2        |   2 |   2 |   4 |   0 |   0 |   0 | -1         | -1         | -1         |    6 |    7 |   13 |    6 |    8 |   14 | 0                      | 0.14285714285714285    | 7.1428571428571425E-2  |    4 |    2 |    6 |    4 |    1 |    5 | 0                      | -0.5                   | -0.25                  |    5 |    2 |    7 |    5 |    2 |    7 | 0                      | 0                      | 0                      |    5 |    3 |    8 |    6 |    4 |   10 | 0.2                  | 0.33333333333333331    | 0.26666666666666666    | -0.11865079365079367   |
|  11 | 2015 | Region B | District B | Subdistrict B1 | Village 11 | School 11 |   4 |  13 |  17 |  12 |  16 |  28 |   9 |  10 |  19 | -0.25      | -0.375     | -0.3125     |  10 |  10 |  20 |   6 |   7 |  13 | -0.4       | -0.3       | -0.35      |   12 |    7 |   19 |   12 |    5 |   17 | 0                      | -0.2857142857142857    | -0.14285714285714285   |    5 |    6 |   11 |    4 |    5 |    9 | -0.2                   | -0.16666666666666666   | -0.18333333333333335   |   10 |   11 |   21 |    9 |    7 |   16 | -0.1                   | -0.36363636363636365   | -0.23181818181818181   |    5 |    5 |   10 |    5 |    7 |   12 | 0                    | 0.4                    | 0.2                    | -0.17008477633477634   |
|  12 | 2015 | Region B | District B | Subdistrict B1 | Village 12 | School 12 |  19 |  18 |  37 |  22 |  24 |  46 |  20 |  18 |  38 | -0.0909091 | -0.25      | -0.170455   |  15 |  21 |  36 |   9 |   4 |  13 | -0.4       | -0.809524  | -0.604762  |   13 |   19 |   32 |   13 |   21 |   34 | 0                      | 0.10526315789473684    | 5.2631578947368418E-2  |   10 |   11 |   21 |   10 |   10 |   20 | 0                      | -9.0909090909090912E-2 | -4.5454545454545456E-2 |   23 |   15 |   38 |   23 |   15 |   38 | 0                      | 0                      | 0                      |   27 |   13 |   40 |   14 |   16 |   30 | -0.48148148148148145 | 0.23076923076923078    | -0.12535612535612534   | -0.1488992570132921    |
|  13 | 2015 | Region B | District B | Subdistrict B2 | Village 13 | School 13 |  48 |  43 |  91 |  57 |  53 | 110 |  37 |  37 |  74 | -0.350877  | -0.301887  | -0.326382   |  32 |  36 |  68 |  28 |  34 |  62 | -0.125     | -0.0555556 | -0.0902778 |   31 |   30 |   61 |   31 |   29 |   60 | 0                      | -3.3333333333333333E-2 | -1.6666666666666666E-2 |   57 |   64 |  121 |   46 |   61 |  107 | -0.19298245614035087   | -4.6875E-2             | -0.11992872807017543   |   17 |   10 |   27 |   17 |   10 |   27 | 0                      | 0                      | 0                      |   23 |   26 |   49 |   19 |   41 |   60 | -0.17391304347826086 | 0.57692307692307687    | 0.201505016722408      | -5.8625024751642503E-2 |
|  14 | 2015 | Region B | District B | Subdistrict B2 | Village 14 | School 14 |  18 |  10 |  28 |   9 |  15 |  24 |   9 |  14 |  23 |  0         | -0.0666667 | -0.0333333  |  15 |  11 |  26 |  16 |  13 |  29 |  0.0666667 |  0.181818  |  0.124242  |   14 |   15 |   29 |   15 |    8 |   23 | 7.1428571428571425E-2  | -0.46666666666666667   | -0.19761904761904764   |   20 |   20 |   40 |   17 |   27 |   44 | -0.15                  | 0.35                   | 9.9999999999999992E-2  |   13 |   10 |   23 |   11 |    8 |   19 | -0.15384615384615385   | -0.2                   | -0.17692307692307693   |   28 |   35 |   63 |   13 |   16 |   29 | -0.5357142857142857  | -0.54285714285714282   | -0.53928571428571426   | -0.120486457986458     |
|  15 | 2015 | Region B | District B | Subdistrict B2 | Village 14 | School 15 |  53 |  49 | 102 |  50 |  52 | 102 |  39 |  41 |  80 | -0.22      | -0.211538  | -0.215769   |  36 |  32 |  68 |  23 |  24 |  47 | -0.361111  | -0.25      | -0.305556  |   31 |   31 |   62 |   34 |   30 |   64 | 9.6774193548387094E-2  | -3.2258064516129031E-2 | 3.2258064516129031E-2  |   42 |   35 |   77 |   34 |   34 |   68 | -0.19047619047619047   | -2.8571428571428571E-2 | -0.10952380952380952   |   22 |   27 |   49 |   23 |   27 |   50 | 4.5454545454545456E-2  | 0                      | 2.2727272727272728E-2  |   13 |   10 |   23 |   24 |   36 |   60 | 0.84615384615384615  | 2.6                    | 1.7230769230769232     | 0.19120227741195484    |
|  16 | 2015 | Region B | District B | Subdistrict B2 | Village 15 | School 16 |  31 |  31 |  62 |  14 |  16 |  30 |  11 |  14 |  25 | -0.214286  | -0.125     | -0.169643   |  18 |  22 |  40 |  16 |  25 |  41 | -0.111111  |  0.136364  |  0.0126263 |   16 |   12 |   28 |   14 |   12 |   26 | -0.125                 | 0                      | -6.25E-2               |   17 |   23 |   40 |   15 |   20 |   35 | -0.11764705882352941   | -0.13043478260869565   | -0.12404092071611253   |   23 |   15 |   38 |   14 |    8 |   22 | -0.39130434782608697   | -0.46666666666666667   | -0.42898550724637685   |   17 |   17 |   34 |    9 |   11 |   20 | -0.47058823529411764 | -0.35294117647058826   | -0.41176470588235292   | -0.19738462139357282   |
|  17 | 2015 | Region B | District B | Subdistrict B2 | Village 16 | School 17 |  28 |  23 |  51 |  25 |  15 |  40 |  21 |  11 |  32 | -0.16      | -0.266667  | -0.213333   |  23 |  22 |  45 |  20 |  21 |  41 | -0.130435  | -0.0454545 | -0.0879447 |   29 |   32 |   61 |   26 |   30 |   56 | -0.10344827586206896   | -6.25E-2               | -8.2974137931034475E-2 |   20 |   13 |   33 |   20 |   14 |   34 | 0                      | 7.6923076923076927E-2  | 3.8461538461538464E-2  |   13 |   10 |   23 |   12 |   13 |   25 | -7.6923076923076927E-2 | 0.3                    | 0.11153846153846153    |   12 |    5 |   17 |   14 |   20 |   34 | 0.16666666666666666  | 3                      | 1.5833333333333333     | 0.2248468663395575     |
|  18 | 2015 | Region B | District B | Subdistrict B2 | Village 17 | School 18 |  17 |  17 |  34 |  15 |  17 |  32 |  10 |  17 |  27 | -0.333333  |  0         | -0.166667   |   7 |   8 |  15 |   7 |   8 |  15 |  0         |  0         |  0         |   13 |    9 |   22 |   13 |   10 |   23 | 0                      | 0.1111111111111111     | 5.5555555555555552E-2  |   23 |   11 |   34 |   23 |   11 |   34 | 0                      | 0                      | 0                      |    8 |    7 |   15 |    8 |    7 |   15 | 0                      | 0                      | 0                      |   39 |   40 |   79 |   14 |   10 |   24 | -0.64102564102564108 | -0.75                  | -0.69551282051282048   | -0.13443732193732194   |
|  19 | 2015 | Region B | District B | Subdistrict B2 | Village 18 | School 19 |  13 |  10 |  23 |  13 |  10 |  23 |  15 |  10 |  25 |  0.153846  |  0         |  0.0769231  |  11 |  18 |  29 |   5 |  13 |  18 | -0.545455  | -0.277778  | -0.411616  |    9 |    9 |   18 |   14 |    9 |   23 | 0.55555555555555558    | 0                      | 0.27777777777777779    |   12 |   10 |   22 |    6 |    5 |   11 | -0.5                   | -0.5                   | -0.5                   |   12 |    9 |   21 |   11 |    8 |   19 | -8.3333333333333329E-2 | -0.1111111111111111    | -9.722222222222221E-2  |   20 |   24 |   44 |    8 |    4 |   12 | -0.6                 | -0.83333333333333337   | -0.71666666666666667   | -0.22846736596736594   |
|  20 | 2015 | Region B | District B | Subdistrict B3 | Village 19 | School 20 |  30 |  21 |  51 |  27 |  33 |  60 |  24 |  29 |  53 | -0.111111  | -0.121212  | -0.116162   |  23 |  17 |  40 |  23 |  18 |  41 |  0         |  0.0588235 |  0.0294118 |   29 |   25 |   54 |   29 |   25 |   54 | 0                      | 0                      | 0                      |   13 |   12 |   25 |   13 |   11 |   24 | 0                      | -8.3333333333333329E-2 | -4.1666666666666664E-2 |   11 |    7 |   18 |   11 |    7 |   18 | 0                      | 0                      | 0                      |   21 |   23 |   44 |   11 |   11 |   22 | -0.47619047619047616 | -0.52173913043478259   | -0.49896480331262938   | -0.10456355357250498   |
|  21 | 2015 | Region B | District B | Subdistrict B3 | Village 20 | School 21 |  39 |  34 |  73 |  59 |  47 | 106 |  41 |  42 |  83 | -0.305085  | -0.106383  | -0.205734   |  37 |  35 |  72 |  37 |  34 |  71 |  0         | -0.0285714 | -0.0142857 |   39 |   41 |   80 |   33 |   23 |   56 | -0.15384615384615385   | -0.43902439024390244   | -0.29643527204502818   |   22 |   30 |   52 |   17 |   19 |   36 | -0.22727272727272727   | -0.36666666666666664   | -0.29696969696969694   |   31 |   24 |   55 |   32 |   18 |   50 | 3.2258064516129031E-2  | -0.25                  | -0.10887096774193548   |   16 |   16 |   32 |   23 |   22 |   45 | 0.4375               | 0.375                  | 0.40625                | -8.6007585547572152E-2 |
|  22 | 2015 | Region B | District B | Subdistrict B3 | Village 21 | School 22 |  16 |  29 |  45 |  16 |  21 |  37 |  20 |  15 |  35 |  0.25      | -0.285714  | -0.0178571  |  18 |  14 |  32 |  15 |  20 |  35 | -0.166667  |  0.428571  |  0.130952  |   10 |   15 |   25 |   15 |   10 |   25 | 0.5                    | -0.33333333333333331   | 8.3333333333333343E-2  |   19 |   17 |   36 |   18 |   20 |   38 | -5.2631578947368418E-2 | 0.17647058823529413    | 6.1919504643962855E-2  |   16 |   11 |   27 |   12 |   18 |   30 | -0.25                  | 0.63636363636363635    | 0.19318181818181818    |   19 |   18 |   37 |    8 |    9 |   17 | -0.57894736842105265 | -0.5                   | -0.53947368421052633   | -1.4657298326028976E-2 |
|  23 | 2015 | Region B | District B | Subdistrict B3 | Village 22 | School 23 |  38 |  25 |  63 |  32 |  48 |  80 |  47 |  32 |  79 |  0.46875   | -0.333333  |  0.0677083  |  31 |  31 |  62 |  32 |  31 |  63 |  0.0322581 |  0         |  0.016129  |   36 |   34 |   70 |   29 |   29 |   58 | -0.19444444444444445   | -0.14705882352941177   | -0.17075163398692811   |   35 |   41 |   76 |   33 |   25 |   58 | -5.7142857142857141E-2 | -0.3902439024390244    | -0.22369337979094078   |   24 |   30 |   54 |   30 |   27 |   57 | 0.25                   | -0.1                   | 7.4999999999999997E-2  |   31 |   37 |   68 |   27 |   18 |   45 | -0.12903225806451613 | -0.51351351351351349   | -0.32127288578901481   | -9.281342232924765E-2  |
|  24 | 2015 | Region B | District B | Subdistrict B3 | Village 23 | School 24 |  14 |  19 |  33 |  29 |  21 |  50 |  25 |  18 |  43 | -0.137931  | -0.142857  | -0.140394   |  18 |  21 |  39 |  20 |  26 |  46 |  0.111111  |  0.238095  |  0.174603  |   14 |   15 |   29 |   12 |   15 |   27 | -0.14285714285714285   | 0                      | -7.1428571428571425E-2 |   22 |   18 |   40 |   19 |   16 |   35 | -0.13636363636363635   | -0.1111111111111111    | -0.12373737373737373   |   11 |   20 |   31 |   11 |   20 |   31 | 0                      | 0                      | 0                      |   56 |   69 |  125 |   18 |   14 |   32 | -0.6785714285714286  | -0.79710144927536231   | -0.73783643892339545   | -0.14979888302601946   |
|  25 | 2015 | Region B | District B | Subdistrict B3 | Village 24 | School 25 |  56 |  60 | 116 |  28 |  23 |  51 |  24 |  20 |  44 | -0.142857  | -0.130435  | -0.136646   |  42 |  47 |  89 |  27 |  30 |  57 | -0.357143  | -0.361702  | -0.359422  |   52 |   38 |   90 |   27 |   39 |   66 | -0.48076923076923078   | 2.6315789473684209E-2  | -0.22722672064777327   |   39 |   38 |   77 |   15 |   24 |   39 | -0.61538461538461542   | -0.36842105263157893   | -0.4919028340080972    |   26 |   27 |   53 |   18 |   10 |   28 | -0.30769230769230771   | -0.62962962962962965   | -0.46866096866096868   |   28 |   25 |   53 |   31 |   33 |   64 | 0.10714285714285714  | 0.32                   | 0.21357142857142858    | -0.24504792497992431   |
|  26 | 2015 | Region B | District B | Subdistrict B4 | Village 25 | School 26 |  34 |  45 |  79 |  32 |  40 |  72 |  14 |  14 |  28 | -0.5625    | -0.65      | -0.60625    |   9 |  13 |  22 |  11 |  15 |  26 |  0.222222  |  0.153846  |  0.188034  |   16 |   13 |   29 |   19 |   17 |   36 | 0.1875                 | 0.30769230769230771    | 0.24759615384615385    |   16 |   10 |   26 |   17 |   10 |   27 | 6.25E-2                | 0                      | 3.125E-2               |    8 |   14 |   22 |    6 |   15 |   21 | -0.25                  | 7.1428571428571425E-2  | -8.9285714285714288E-2 |   67 |   71 |  138 |   12 |   23 |   35 | -0.82089552238805974 | -0.676056338028169     | -0.74847593020811432   | -0.16285521710224779   |
|  27 | 2015 | Region B | District B | Subdistrict B4 | Village 26 | School 27 |  85 |  89 | 174 |  64 |  67 | 131 |  52 |  64 | 116 | -0.1875    | -0.0447761 | -0.116138   |  75 |  76 | 151 |  84 |  74 | 158 |  0.12      | -0.0263158 |  0.0468421 |   76 |   75 |  151 |   71 |   67 |  138 | -6.5789473684210523E-2 | -0.10666666666666667   | -8.6228070175438598E-2 |   69 |   82 |  151 |   42 |   53 |   95 | -0.39130434782608697   | -0.35365853658536583   | -0.37248144220572643   |   56 |   63 |  119 |   47 |   63 |  110 | -0.16071428571428573   | 0                      | -8.0357142857142863E-2 |   18 |   23 |   41 |   34 |   42 |   76 | 0.88888888888888884  | 0.82608695652173914    | 0.85748792270531404    | 4.152088550477858E-2   |
|  28 | 2015 | Region B | District B | Subdistrict B4 | Village 27 | School 28 |  25 |  25 |  50 |  43 |  35 |  78 |  31 |  29 |  60 | -0.27907   | -0.171429  | -0.225249   |  20 |  26 |  46 |  21 |  28 |  49 |  0.05      |  0.0769231 |  0.0634615 |   25 |   14 |   39 |   28 |   14 |   42 | 0.12                   | 0                      | 0.06                   |   20 |   27 |   47 |   22 |   30 |   52 | 0.1                    | 0.1111111111111111     | 0.10555555555555556    |   10 |   13 |   23 |   12 |   12 |   24 | 0.2                    | -7.6923076923076927E-2 | 6.1538461538461542E-2  |    0 |    0 |    0 |    8 |   10 |   18 | #DIV/0!              | #DIV/0!                | #DIV/0!                | #DIV/0!                |
|  29 | 2015 | Region B | District B | Subdistrict B4 | Village 28 | School 29 |  28 |  35 |  63 |  23 |  20 |  43 |  22 |  17 |  39 | -0.0434783 | -0.15      | -0.0967391  |  29 |  24 |  53 |  28 |  24 |  52 | -0.0344828 |  0         | -0.0172414 |   25 |   24 |   49 |   26 |   22 |   48 | 0.04                   | -8.3333333333333329E-2 | -2.1666666666666664E-2 |   19 |   26 |   45 |   17 |   27 |   44 | -0.10526315789473684   | 3.8461538461538464E-2  | -3.3400809716599186E-2 |   18 |   22 |   40 |   19 |   22 |   41 | 5.5555555555555552E-2  | 0                      | 2.7777777777777776E-2  |   41 |   34 |   75 |   12 |   10 |   22 | -0.70731707317073167 | -0.70588235294117652   | -0.70659971305595404   | -0.14131165356776157   |
|  30 | 2015 | Region B | District B | Subdistrict B4 | Village 29 | School 30 |  36 |  34 |  70 |  30 |  33 |  63 |  30 |  30 |  60 |  0         | -0.0909091 | -0.0454545  |  34 |  46 |  80 |  32 |  43 |  75 | -0.0588235 | -0.0652174 | -0.0620205 |   28 |   41 |   69 |   26 |   36 |   62 | -7.1428571428571425E-2 | -0.12195121951219512   | -9.6689895470383272E-2 |   28 |   43 |   71 |   33 |   44 |   77 | 0.17857142857142858    | 2.3255813953488372E-2  | 0.10091362126245848    |   36 |   33 |   69 |   33 |   34 |   67 | -8.3333333333333329E-2 | 3.0303030303030304E-2  | -2.6515151515151512E-2 |   36 |   38 |   74 |   19 |   31 |   50 | -0.47222222222222221 | -0.18421052631578946   | -0.32821637426900585   | -7.6330467634113983E-2 |
|  31 | 2015 | Region B | District B | Subdistrict B4 | Village 30 | School 31 |  30 |  33 |  63 |  13 |  23 |  36 |  12 |  18 |  30 | -0.0769231 | -0.217391  | -0.147157   |  14 |  12 |  26 |  14 |  12 |  26 |  0         |  0         |  0         |   17 |   20 |   37 |   30 |   25 |   55 | 0.76470588235294112    | 0.25                   | 0.50735294117647056    |   30 |   35 |   65 |   17 |   17 |   34 | -0.43333333333333335   | -0.51428571428571423   | -0.47380952380952379   |   10 |   14 |   24 |   10 |   13 |   23 | 0                      | -7.1428571428571425E-2 | -3.5714285714285712E-2 |    0 |    0 |    0 |    9 |   12 |   21 | #DIV/0!              | #DIV/0!                | #DIV/0!                | #DIV/0!                |
|  32 | 2015 | Region B | District B | Subdistrict B4 | Village 31 | School 32 |  56 |  38 |  94 |  68 |  42 | 110 |  53 |  25 |  78 | -0.220588  | -0.404762  | -0.312675   |  24 |  29 |  53 |  24 |  29 |  53 |  0         |  0         |  0         |   26 |   34 |   60 |   31 |   39 |   70 | 0.19230769230769232    | 0.14705882352941177    | 0.16968325791855204    |   31 |   31 |   62 |   24 |   23 |   47 | -0.22580645161290322   | -0.25806451612903225   | -0.24193548387096775   |   32 |   39 |   71 |   32 |   38 |   70 | 0                      | -2.564102564102564E-2  | -1.282051282051282E-2  |    0 |    0 |    0 |   29 |   44 |   73 | #DIV/0!              | #DIV/0!                | #DIV/0!                | #DIV/0!                |
|  33 | 2015 | Region B | District C | Subdistrict C1 | Village 29 | School 33 |  13 |   9 |  22 |  24 |  16 |  40 |  18 |  10 |  28 | -0.25      | -0.375     | -0.3125     |  17 |  10 |  27 |  12 |   7 |  19 | -0.294118  | -0.3       | -0.297059  |   18 |   13 |   31 |   13 |   11 |   24 | -0.27777777777777779   | -0.15384615384615385   | -0.21581196581196582   |   13 |   15 |   28 |   14 |   16 |   30 | 7.6923076923076927E-2  | 6.6666666666666666E-2  | 7.179487179487179E-2   |   20 |   20 |   40 |   14 |   14 |   28 | -0.3                   | -0.3                   | -0.3                   |   36 |   44 |   80 |    7 |    5 |   12 | -0.80555555555555558 | -0.88636363636363635   | -0.84595959595959602   | -0.31658925225101697   |
|  34 | 2015 | Region B | District C | Subdistrict C1 | Village 32 | School 34 |  12 |  20 |  32 |  20 |  28 |  48 |  14 |  21 |  35 | -0.3       | -0.25      | -0.275      |  13 |  19 |  32 |  15 |  12 |  27 |  0.153846  | -0.368421  | -0.107287  |   22 |   18 |   40 |   14 |   18 |   32 | -0.36363636363636365   | 0                      | -0.18181818181818182   |   23 |   11 |   34 |   21 |    7 |   28 | -8.6956521739130432E-2 | -0.36363636363636365   | -0.22529644268774704   |   16 |   15 |   31 |   15 |   17 |   32 | -6.25E-2               | 0.13333333333333333    | 3.5416666666666666E-2  |   80 |   46 |  126 |   15 |   18 |   33 | -0.8125              | -0.60869565217391308   | -0.71059782608695654   | -0.2440972055531552    |
|  35 | 2015 | Region B | District C | Subdistrict C1 | Village 33 | School 35 |  73 |  52 | 125 |  38 |  42 |  80 |  60 |  65 | 125 |  0.578947  |  0.547619  |  0.563283   |  30 |  49 |  79 |  58 |  54 | 112 |  0.933333  |  0.102041  |  0.517687  |   55 |   54 |  109 |   33 |   51 |   84 | -0.4                   | -5.5555555555555552E-2 | -0.2277777777777778    |   47 |   45 |   92 |   37 |   33 |   70 | -0.21276595744680851   | -0.26666666666666666   | -0.2397163120567376    |   51 |   44 |   95 |   51 |   42 |   93 | 0                      | -4.5454545454545456E-2 | -2.2727272727272728E-2 |   30 |   41 |   71 |   47 |   33 |   80 | 0.56666666666666665  | -0.1951219512195122    | 0.18577235772357722    | 0.12942021300196191    |
|  36 | 2015 | Region B | District C | Subdistrict C1 | Village 34 | School 36 |  38 |  34 |  72 |  25 |  31 |  56 |  22 |  13 |  35 | -0.12      | -0.580645  | -0.350323   |  20 |  20 |  40 |  13 |  16 |  29 | -0.35      | -0.2       | -0.275     |   20 |   23 |   43 |   20 |   22 |   42 | 0                      | -4.3478260869565216E-2 | -2.1739130434782608E-2 |   22 |   18 |   40 |   24 |   20 |   44 | 9.0909090909090912E-2  | 0.1111111111111111     | 0.10101010101010101    |   27 |   23 |   50 |   22 |   19 |   41 | -0.18518518518518517   | -0.17391304347826086   | -0.17954911433172302   |   26 |   20 |   46 |   17 |   11 |   28 | -0.34615384615384615 | -0.45                  | -0.39807692307692311   | -0.18727960791308151   |
|  37 | 2015 | Region B | District C | Subdistrict C1 | Village 35 | School 37 |   0 |   0 |   0 |  22 |   8 |  30 |   0 |   0 |   0 | -1         | -1         | -1          |  15 |  15 |  30 |   0 |   0 |   0 | -1         | -1         | -1         |    0 |    0 |    0 |    0 |    0 |    0 | #DIV/0!                | #DIV/0!                | #DIV/0!                |    0 |    0 |    0 |    0 |    0 |    0 | #DIV/0!                | #DIV/0!                | #DIV/0!                |    0 |    0 |    0 |    0 |    0 |    0 | #DIV/0!                | #DIV/0!                | #DIV/0!                |   13 |   31 |   44 |    0 |    0 |    0 | -1                   | -1                     | -1                     | #DIV/0!                |
|  38 | 2015 | Region B | District C | Subdistrict C1 | Village 36 | School 38 |  54 |  58 | 112 |  54 |  48 | 102 |  55 |  44 |  99 |  0.0185185 | -0.0833333 | -0.0324074  |  30 |  44 |  74 |  37 |  53 |  90 |  0.233333  |  0.204545  |  0.218939  |   31 |   44 |   75 |   26 |   38 |   64 | -0.16129032258064516   | -0.13636363636363635   | -0.14882697947214074   |   33 |   37 |   70 |   25 |   25 |   50 | -0.24242424242424243   | -0.32432432432432434   | -0.28337428337428339   |   23 |   13 |   36 |   23 |   14 |   37 | 0                      | 7.6923076923076927E-2  | 3.8461538461538464E-2  |   37 |   46 |   83 |   27 |   32 |   59 | -0.27027027027027029 | -0.30434782608695654   | -0.28730904817861341   | -8.2419464338585421E-2 |
|  39 | 2015 | Region B | District C | Subdistrict C2 | Village 37 | School 39 |  20 |  17 |  37 |  17 |  12 |  29 |  14 |  13 |  27 | -0.176471  |  0.0833333 | -0.0465686  |  21 |  25 |  46 |  10 |  13 |  23 | -0.52381   | -0.48      | -0.501905  |    7 |   13 |   20 |    6 |    5 |   11 | -0.14285714285714285   | -0.61538461538461542   | -0.37912087912087911   |    8 |   12 |   20 |    5 |    9 |   14 | -0.375                 | -0.25                  | -0.3125                |    6 |   13 |   19 |    7 |    6 |   13 | 0.16666666666666666    | -0.53846153846153844   | -0.1858974358974359    |   26 |   20 |   46 |    4 |    6 |   10 | -0.84615384615384615 | -0.7                   | -0.77307692307692299   | -0.36651143790849677   |
|  40 | 2015 | Region B | District C | Subdistrict C2 | Village 38 | School 40 |  50 |  39 |  89 |  62 |  49 | 111 |  42 |  36 |  78 | -0.322581  | -0.265306  | -0.293943   |  28 |  33 |  61 |  28 |  33 |  61 |  0         |  0         |  0         |   18 |   30 |   48 |   18 |   22 |   40 | 0                      | -0.26666666666666666   | -0.13333333333333333   |   29 |   25 |   54 |   19 |   18 |   37 | -0.34482758620689657   | -0.28000000000000003   | -0.3124137931034483    |   11 |   22 |   33 |   10 |   21 |   31 | -9.0909090909090912E-2 | -4.5454545454545456E-2 | -6.8181818181818177E-2 |   33 |   30 |   63 |   12 |   21 |   33 | -0.63636363636363635 | -0.3                   | -0.46818181818181814   | -0.21267569110092546   |
|  41 | 2015 | Region B | District C | Subdistrict C2 | Village 39 | School 41 |  29 |  33 |  62 |  59 |  29 |  88 |  34 |  24 |  58 | -0.423729  | -0.172414  | -0.298071   |  29 |  10 |  39 |  22 |  10 |  32 | -0.241379  |  0         | -0.12069   |   26 |   21 |   47 |   32 |   23 |   55 | 0.23076923076923078    | 9.5238095238095233E-2  | 0.16300366300366301    |   33 |   53 |   86 |   20 |   47 |   67 | -0.39393939393939392   | -0.11320754716981132   | -0.25357347055460261   |   14 |   20 |   34 |   14 |   18 |   32 | 0                      | -0.1                   | -0.05                  |   40 |   23 |   63 |   14 |   12 |   26 | -0.65                | -0.47826086956521741   | -0.56413043478260871   | -0.18724353347289124   |
|  42 | 2015 | Region B | District C | Subdistrict C2 | Village 40 | School 42 |  23 |  41 |  64 |  34 |  23 |  57 |  23 |  30 |  53 | -0.323529  |  0.304348  | -0.00959079 |  20 |  32 |  52 |  20 |  37 |  57 |  0         |  0.15625   |  0.078125  |   20 |   25 |   45 |   16 |   22 |   38 | -0.2                   | -0.12                  | -0.16                  |   21 |   19 |   40 |   20 |   20 |   40 | -4.7619047619047616E-2 | 5.2631578947368418E-2  | 2.5062656641604009E-3  |   13 |   15 |   28 |   10 |   16 |   26 | -0.23076923076923078   | 6.6666666666666666E-2  | -8.2051282051282065E-2 |   23 |   35 |   58 |    7 |   16 |   23 | -0.69565217391304346 | -0.54285714285714282   | -0.61925465838509308   | -0.13171091126851489   |
|  43 | 2015 | Region B | District C | Subdistrict C2 | Village 41 | School 43 |  27 |  19 |  46 |  29 |  25 |  54 |  16 |  15 |  31 | -0.448276  | -0.4       | -0.424138   |  14 |  13 |  27 |  10 |   9 |  19 | -0.285714  | -0.307692  | -0.296703  |    7 |   16 |   23 |    8 |   15 |   23 | 0.14285714285714285    | -6.25E-2               | 4.0178571428571425E-2  |   12 |    8 |   20 |    8 |    6 |   14 | -0.33333333333333331   | -0.25                  | -0.29166666666666663   |   16 |   13 |   29 |   17 |   12 |   29 | 6.25E-2                | -7.6923076923076927E-2 | -7.2115384615384637E-3 |   27 |   17 |   44 |   15 |   15 |   30 | -0.44444444444444442 | -0.11764705882352941   | -0.28104575163398693   | -0.21009776884523335   |
|  44 | 2015 | Region B | District C | Subdistrict C2 | Village 42 | School 44 |  98 |  87 | 185 |  77 |  78 | 155 |  98 |  98 | 196 |  0.272727  |  0.25641   |  0.264569   |  78 |  62 | 140 |  72 |  77 | 149 | -0.0769231 |  0.241935  |  0.0825062 |   87 |   73 |  160 |   82 |   86 |  168 | -5.7471264367816091E-2 | 0.17808219178082191    | 6.0305463706502908E-2  |   82 |   64 |  146 |   46 |   56 |  102 | -0.43902439024390244   | -0.125                 | -0.28201219512195119   |   40 |   80 |  120 |   58 |   60 |  118 | 0.45                   | -0.25                  | 0.1                    |   75 |   55 |  130 |   33 |   52 |   85 | -0.56000000000000005 | -5.4545454545454543E-2 | -0.30727272727272731   | -1.3650748440910932E-2 |
|  45 | 2015 | Region B | District C | Subdistrict C2 | Village 43 | School 45 |  57 |  46 | 103 |  52 |  48 | 100 |  52 |  43 |  95 |  0         | -0.104167  | -0.0520833  |  39 |  41 |  80 |  43 |  44 |  87 |  0.102564  |  0.0731707 |  0.0878674 |   61 |   57 |  118 |   49 |   45 |   94 | -0.19672131147540983   | -0.21052631578947367   | -0.20362381363244175   |   34 |   22 |   56 |   29 |   21 |   50 | -0.14705882352941177   | -4.5454545454545456E-2 | -9.6256684491978606E-2 |   30 |   31 |   61 |   30 |   32 |   62 | 0                      | 3.2258064516129031E-2  | 1.6129032258064516E-2  |   39 |   40 |   79 |   16 |   29 |   45 | -0.58974358974358976 | -0.27500000000000002   | -0.43237179487179489   | -0.11338986282262904   |
|  46 | 2015 | Region B | District C | Subdistrict C3 | Village 44 | School 46 |  63 |  49 | 112 |  51 |  43 |  94 |  35 |  36 |  71 | -0.313725  | -0.162791  | -0.238258   |  51 |  30 |  81 |  41 |  23 |  64 | -0.196078  | -0.233333  | -0.214706  |   25 |   44 |   69 |   20 |   42 |   62 | -0.2                   | -4.5454545454545456E-2 | -0.12272727272727274   |   56 |   24 |   80 |   31 |   24 |   55 | -0.44642857142857145   | 0                      | -0.22321428571428573   |   40 |   25 |   65 |   39 |   24 |   63 | -2.5000000000000001E-2 | -0.04                  | -3.2500000000000001E-2 |   55 |   31 |   86 |   22 |   27 |   49 | -0.6                 | -0.12903225806451613   | -0.36451612903225805   | -0.19932027729366766   |
|  47 | 2015 | Region B | District C | Subdistrict C3 | Village 45 | School 47 |  66 |  76 | 142 |  61 |  71 | 132 |  51 |  57 | 108 | -0.163934  | -0.197183  | -0.180559   |  45 |  46 |  91 |  44 |  45 |  89 | -0.0222222 | -0.0217391 | -0.0219807 |   40 |   51 |   91 |   42 |   52 |   94 | 0.05                   | 1.9607843137254902E-2  | 3.4803921568627452E-2  |   38 |   37 |   75 |   37 |   23 |   60 | -2.6315789473684209E-2 | -0.3783783783783784    | -0.20234708392603129   |   25 |   32 |   57 |   25 |   32 |   57 | 0                      | 0                      | 0                      |   54 |   55 |  109 |   32 |   43 |   75 | -0.40740740740740738 | -0.21818181818181817   | -0.31279461279461279   | -0.11381286898184129   |
|  48 | 2015 | Region B | District C | Subdistrict C3 | Village 46 | School 48 | 106 | 112 | 218 | 114 | 126 | 240 | 106 | 115 | 221 | -0.0701754 | -0.0873016 | -0.0787385  | 112 | 130 | 242 | 115 | 120 | 235 |  0.0267857 | -0.0769231 | -0.0250687 |   80 |   80 |  160 |   91 |  131 |  222 | 0.13750000000000001    | 0.63749999999999996    | 0.38749999999999996    |  115 |  125 |  240 |   81 |  106 |  187 | -0.29565217391304349   | -0.152                 | -0.22382608695652173   |   88 |   97 |  185 |   66 |   91 |  157 | -0.25                  | -6.1855670103092786E-2 | -0.15592783505154639   |   92 |  104 |  196 |   43 |   56 |   99 | -0.53260869565217395 | -0.46153846153846156   | -0.49707357859531776   | -9.8855782478517742E-2 |
|  49 | 2015 | Region B | District C | Subdistrict C3 | Village 47 | School 49 |  48 |  32 |  80 |  34 |  43 |  77 |  33 |  43 |  76 | -0.0294118 |  0         | -0.0147059  |  36 |  36 |  72 |  38 |  36 |  74 |  0.0555556 |  0         |  0.0277778 |   40 |   37 |   77 |   47 |   45 |   92 | 0.17499999999999999    | 0.21621621621621623    | 0.19560810810810811    |   18 |   18 |   36 |   20 |   19 |   39 | 0.1111111111111111     | 5.5555555555555552E-2  | 8.3333333333333329E-2  |   14 |   16 |   30 |   15 |   18 |   33 | 7.1428571428571425E-2  | 0.125                  | 9.8214285714285712E-2  |   29 |   36 |   65 |   10 |   27 |   37 | -0.65517241379310343 | -0.25                  | -0.45258620689655171   | -1.0393097385997993E-2 |
|  50 | 2015 | Region B | District C | Subdistrict C3 | Village 48 | School 50 |  45 |  40 |  85 |  42 |  41 |  83 |  45 |  42 |  87 |  0.0714286 |  0.0243902 |  0.0479094  |  40 |  44 |  84 |  40 |  45 |  85 |  0         |  0.0227273 |  0.0113636 |   20 |   23 |   43 |   18 |   22 |   40 | -0.1                   | -4.3478260869565216E-2 | -7.1739130434782611E-2 |   24 |   28 |   52 |   23 |   28 |   51 | -4.1666666666666664E-2 | 0                      | -2.0833333333333332E-2 |   32 |   29 |   61 |   31 |   29 |   60 | -3.125E-2              | 0                      | -1.5625E-2             |   33 |   31 |   64 |   21 |   26 |   47 | -0.36363636363636365 | -0.16129032258064516   | -0.26246334310850439   | -5.1897960474579785E-2 |



label: AE=AC+AD
AH=AF+AG
AN=AL+AM
AQ=AO+AP
AW=AU+AV
AZ=AX+AY
BF=BD+BE
BI=BG+BH
labeled_formulas: AE=AC+AD
AH=AF+AG
AN=AL+AM
AQ=AO+AP
AW=AU+AV
AZ=AX+AY
BF=BD+BE
BI=BG+BH
output: {"Arithmetic-Relationship": ["AE=AC+AD", "AH=AF+AG", "AN=AL+AM", "AQ=AO+AP", "AW=AU+AV", "AZ=AX+AY", "BF=BD+BE", "BI=BG+BH"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_772815___xlsx_9b6f6d183683169e4e8a37c020c3a16faee01d9c.xlsx___line_423