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 |
|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|
|   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |
|   1 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   1 |   0 |   0 |   0 |   0 |   0 |
|   2 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   2 |   0 |   0 |   0 |   0 |   0 |
|   3 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   3 |   0 |   0 |   0 |   0 |   0 |
|   4 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   4 |   0 |   0 |   0 |   0 |   0 |
|   5 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   5 |   0 |   0 |   0 |   0 |   0 |
|   6 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   6 |   0 |   0 |   0 |   0 |   0 |
|   7 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   7 |   0 |   0 |   0 |   0 |   0 |
|   8 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   8 |   0 |   0 |   0 |   0 |   0 |
|   9 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   9 |   0 |   0 |   0 |   0 |   0 |
|  10 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  10 |   0 |   0 |   0 |   0 |   0 |
|  11 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  11 |   0 |   0 |   0 |   0 |   0 |
|  12 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  12 |   0 |   0 |   0 |   0 |   0 |
|  13 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  13 |   0 |   0 |   0 |   0 |   0 |
|  14 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  14 |   0 |   0 |   0 |   0 |   0 |
|  15 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  15 |   0 |   0 |   0 |   0 |   0 |
|  16 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  16 |   0 |   0 |   0 |   0 |   0 |
|  17 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  17 |   0 |   0 |   0 |   0 |   0 |
|  18 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  18 |   0 |   0 |   0 |   0 |   0 |
|  19 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  19 |   0 |   0 |   0 |   0 |   0 |
|  20 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  20 |   0 |   0 |   0 |   0 |   0 |
|  21 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  21 |   0 |   0 |   0 |   0 |   0 |
|  22 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  22 |   0 |   0 |   0 |   0 |   0 |
|  23 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  23 |   0 |   0 |   0 |   0 |   0 |
|  24 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  24 |   0 |   0 |   0 |   0 |   0 |
|  25 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  25 |   0 |   0 |   0 |   0 |   0 |
|  26 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  26 |   0 |   0 |   0 |   0 |   0 |
|  27 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  27 |   0 |   0 |   0 |   0 |   0 |
|  28 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  28 |   0 |   0 |   0 |   0 |   0 |
|  29 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  29 |   0 |   0 |   0 |   0 |   0 |
|  30 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  30 |   0 |   0 |   0 |   0 |   0 |
|  31 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  31 |   0 |   0 |   0 |   0 |   0 |
|  32 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  32 |   0 |   0 |   0 |   0 |   0 |
|  33 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  33 |   0 |   0 |   0 |   0 |   0 |
|  34 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  34 |   0 |   0 |   0 |   0 |   0 |
|  35 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  35 |   0 |   0 |   0 |   0 |   0 |
|  36 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  36 |   0 |   0 |   0 |   0 |   0 |
|  37 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  37 |   0 |   0 |   0 |   0 |   0 |
|  38 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  38 |   0 |   0 |   0 |   0 |   0 |
|  39 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  39 |   0 |   0 |   0 |   0 |   0 |
|  40 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  40 |   0 |   0 |   0 |   0 |   0 |
|  41 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  41 |   0 |   0 |   0 |   0 |   0 |
|  42 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  42 |   0 |   0 |   0 |   0 |   0 |
|  43 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  43 |   0 |   0 |   0 |   0 |   0 |
|  44 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  44 |   0 |   0 |   0 |   0 |   0 |
|  45 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  45 |   0 |   0 |   0 |   0 |   0 |
|  46 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  46 |   0 |   0 |   0 |   0 |   0 |
|  47 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  47 |   0 |   0 |   0 |   0 |   0 |
|  48 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  48 |   0 |   0 |   0 |   0 |   0 |
|  49 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  49 |   0 |   0 |   0 |   0 |   0 |
|  50 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  50 |   0 |   0 |   0 |   0 |   0 |
|  51 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  51 |   0 |   0 |   0 |   0 |   0 |
|  52 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  52 |   0 |   0 |   0 |   0 |   0 |
|  53 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  53 |   0 |   0 |   0 |   0 |   0 |
|  54 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  54 |   0 |   0 |   0 |   0 |   0 |
|  55 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  55 |   0 |   0 |   0 |   0 |   0 |
|  56 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  56 |   0 |   0 |   0 |   0 |   0 |
|  57 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  57 |   0 |   0 |   0 |   0 |   0 |
|  58 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  58 |   0 |   0 |   0 |   0 |   0 |
|  59 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  59 |   0 |   0 |   0 |   0 |   0 |
|  60 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  60 |   0 |   0 |   0 |   0 |   0 |
|  61 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  61 |   0 |   0 |   0 |   0 |   0 |
|  62 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  62 |   0 |   0 |   0 |   0 |   0 |
|  63 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  63 |   0 |   0 |   0 |   0 |   0 |
|  64 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  64 |   0 |   0 |   0 |   0 |   0 |
|  65 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  65 |   0 |   0 |   0 |   0 |   0 |
|  66 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  66 |   0 |   0 |   0 |   0 |   0 |
|  67 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  67 |   0 |   0 |   0 |   0 |   0 |
|  68 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  68 |   0 |   0 |   0 |   0 |   0 |
|  69 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  69 |   0 |   0 |   0 |   0 |   0 |
|  70 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  70 |   0 |   0 |   0 |   0 |   0 |
|  71 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  71 |   0 |   0 |   0 |   0 |   0 |
|  72 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  72 |   0 |   0 |   0 |   0 |   0 |
|  73 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  73 |   0 |   0 |   0 |   0 |   0 |
|  74 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  74 |   0 |   0 |   0 |   0 |   0 |
|  75 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  75 |   0 |   0 |   0 |   0 |   0 |
|  76 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  76 |   0 |   0 |   0 |   0 |   0 |
|  77 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  77 |   0 |   0 |   0 |   0 |   0 |
|  78 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  78 |   0 |   0 |   0 |   0 |   0 |
|  79 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  79 |   0 |   0 |   0 |   0 |   0 |
|  80 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  80 |   0 |   0 |   0 |   0 |   0 |
|  81 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  81 |   0 |   0 |   0 |   0 |   0 |
|  82 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  82 |   0 |   0 |   0 |   0 |   0 |
|  83 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  83 |   0 |   0 |   0 |   0 |   0 |
|  84 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  84 |   0 |   0 |   0 |   0 |   0 |
|  85 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  85 |   0 |   0 |   0 |   0 |   0 |
|  86 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  86 |   0 |   0 |   0 |   0 |   0 |
|  87 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  87 |   0 |   0 |   0 |   0 |   0 |
|  88 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  88 |   0 |   0 |   0 |   0 |   0 |
|  89 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  89 |   0 |   0 |   0 |   0 |   0 |
|  90 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  90 |   0 |   0 |   0 |   0 |   0 |
|  91 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  91 |   0 |   0 |   0 |   0 |   0 |
|  92 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  92 |   0 |   0 |   0 |   0 |   0 |
|  93 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  93 |   0 |   0 |   0 |   0 |   0 |
|  94 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  94 |   0 |   0 |   0 |   0 |   0 |
|  95 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  95 |   0 |   0 |   0 |   0 |   0 |
|  96 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  96 |   0 |   0 |   0 |   0 |   0 |
|  97 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  97 |   0 |   0 |   0 |   0 |   0 |
|  98 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  98 |   0 |   0 |   0 |   0 |   0 |
|  99 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |   0 |  99 |   0 |   0 |   0 |   0 |   0 |



label: S=F-G
T=I-J
U=L-M
V=M-N
labeled_formulas: S=F-G
T=I-J
U=L-M
V=M-N
output: {"Arithmetic-Relationship": ["S=F-G", "T=I-J", "U=L-M", "V=M-N"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_708432___xlsx_05aba3e790b760384afa85435d84873d8037e33b.xlsx___line_34