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 |
|----:|:-------------------------------|-----:|-----:|-----:|----:|----:|----:|----:|----:|----:|-----:|-----:|---------:|-----:|--------:|----:|----------:|----:|---------:|----:|----------:|----:|----------:|
|   2 | Albemarle County               | 1070 |  267 |  705 |   3 |  52 |   0 |   3 |   0 |   8 | 1038 |  222 | 21.3873  |  612 | 58.9595 |  53 |  5.10597  | 119 | 11.4644  |  19 |  1.83044  |  13 |  1.25241  |
| 101 | Alexandria City                |  822 |  352 |  301 |  14 |  41 |   0 |   0 |   0 |  20 |  728 |  279 | 38.3242  |  284 | 39.011  |  34 |  4.67033  | 104 | 14.2857  |  23 |  3.15934  |   4 |  0.549451 |
|   4 | Amelia County                  |  156 |   86 |   63 |   5 |   5 |   0 |   0 |   0 |   0 |  159 |   66 | 41.5094  |   52 | 32.7044 |  10 |  6.28931  |  15 |  9.43396 |  14 |  8.80503  |   2 |  1.25786  |
|   5 | Amherst County                 |  367 |  160 |  148 |   1 |   4 |   0 |   3 |   0 |   5 |  321 |  121 | 37.6947  |   94 | 29.2835 |  11 |  3.42679  |  60 | 18.6916  |  19 |  5.919    |  16 |  4.98442  |
|   6 | Appomattox County              |  182 |   59 |   88 |   2 |   5 |   0 |   0 |   2 |   0 |  156 |   35 | 22.4359  |   67 | 42.9487 |  10 |  6.41026  |  33 | 21.1538  |   6 |  3.84615  |   5 |  3.20513  |
|   7 | Arlington County               | 1447 |  486 |  933 |  42 |   7 |   0 |  19 |   0 |   2 | 1489 |  367 | 24.6474  |  962 | 64.6071 |  31 |  2.08193  |  92 |  6.17864 |  21 |  1.41034  |  16 |  1.07455  |
|   8 | Augusta County                 |  867 |  326 |  424 |  14 |  25 |   0 |   0 |   3 |   3 |  795 |  265 | 33.3333  |  264 | 33.2075 |  49 |  6.16352  | 187 | 23.522   |  19 |  2.38994  |  11 |  1.38365  |
|   9 | Bath County                    |   55 |   24 |   24 |   0 |   0 |   0 |   0 |   0 |   0 |   48 |   31 | 64.5833  |   12 | 25      |   0 |  0        |   5 | 10.4167  |   0 |  0        |   0 |  0        |
|  10 | Bedford County                 |  938 |  381 |  430 |   6 |  16 |   0 |   1 |   0 |  11 |  845 |  303 | 35.858   |  340 | 40.2367 |  41 |  4.85207  | 119 | 14.0828  |  23 |  2.72189  |  19 |  2.24852  |
|  11 | Bland County                   |   71 |   38 |   16 |   4 |   3 |   0 |   0 |   0 |   0 |   61 |   13 | 21.3115  |   40 | 65.5738 |   1 |  1.63934  |   2 |  3.27869 |   0 |  0        |   5 |  8.19672  |
|  12 | Botetourt County               |  463 |  136 |  262 |   0 |   8 |   0 |   0 |   0 |   0 |  406 |  136 | 33.4975  |  178 | 43.8424 |   8 |  1.97044  |  55 | 13.5468  |  18 |  4.4335   |  11 |  2.70936  |
| 102 | Bristol City                   |  192 |   71 |   55 |   8 |  11 |   0 |   0 |   0 |   1 |  146 |   56 | 38.3562  |   48 | 32.8767 |  11 |  7.53425  |  21 | 14.3836  |   5 |  3.42466  |   5 |  3.42466  |
|  13 | Brunswick County               |  179 |   85 |   44 |   4 |   1 |   0 |   0 |   0 |   4 |  138 |   42 | 30.4348  |   42 | 30.4348 |   7 |  5.07246  |  35 | 25.3623  |   7 |  5.07246  |   5 |  3.62319  |
|  14 | Buchanan County                |  249 |  134 |   53 |  18 |   0 |   0 |   6 |   0 |   3 |  214 |  115 | 53.7383  |   38 | 17.757  |  10 |  4.6729   |  35 | 16.3551  |   8 |  3.73832  |   8 |  3.73832  |
|  15 | Buckingham County              |  176 |   62 |   73 |   6 |   5 |   0 |   0 |   1 |   0 |  147 |   15 | 10.2041  |  101 | 68.7075 |   9 |  6.12245  |  19 | 12.9252  |   3 |  2.04082  |   0 |  0        |
| 103 | Buena Vista City               |   76 |   36 |   30 |   1 |   3 |   0 |   0 |   1 |   1 |   72 |   19 | 26.3889  |   31 | 43.0556 |   4 |  5.55556  |  16 | 22.2222  |   1 |  1.38889  |   1 |  1.38889  |
|  16 | Campbell County                |  677 |  291 |  282 |   5 |   9 |   0 |   0 |   1 |  19 |  607 |  217 | 35.7496  |  245 | 40.3624 |   5 |  0.823723 |  79 | 13.0148  |  33 |  5.43657  |  28 |  4.61285  |
|  17 | Caroline County                |  331 |  118 |  120 |   1 |  13 |   0 |   0 |   1 |   0 |  253 |   70 | 27.668   |  101 | 39.9209 |   8 |  3.16206  |  59 | 23.3202  |  12 |  4.74308  |   3 |  1.18577  |
|  18 | Carroll County                 |  298 |  131 |  139 |   1 |   1 |   0 |   0 |   1 |   1 |  274 |  121 | 44.1606  |   69 | 25.1825 |   0 |  0        |  74 | 27.0073  |  10 |  3.64964  |   0 |  0        |
|  19 | Charles City County            |   68 |   30 |   29 |   0 |   4 |   0 |   1 |   0 |   0 |   64 |    5 |  7.8125  |   29 | 45.3125 |   5 |  7.8125   |  20 | 31.25    |   5 |  7.8125   |   0 |  0        |
|  20 | Charlotte County               |  155 |   47 |   75 |   2 |   1 |   0 |   0 |   5 |   3 |  133 |   54 | 40.6015  |   48 | 36.0902 |   4 |  3.00752  |  11 |  8.27068 |  13 |  9.77444  |   3 |  2.25564  |
| 104 | Charlottesville City           |  317 |  109 |  128 |   7 |  16 |   0 |   0 |   3 |   0 |  263 |   80 | 30.4183  |  112 | 42.5856 |  22 |  8.36502  |  44 | 16.73    |   4 |  1.52091  |   1 |  0.380228 |
|  22 | Clarke County                  |  202 |   74 |  122 |   7 |   1 |   0 |   1 |   0 |   1 |  206 |   56 | 27.1845  |   93 | 45.1456 |   9 |  4.36893  |  35 | 16.9903  |  10 |  4.85437  |   3 |  1.45631  |
| 202 | Colonial Beach                 |   53 |   17 |   18 |   2 |   3 |   0 |   0 |   0 |   0 |   40 |   14 | 35       |   17 | 42.5    |   2 |  5        |   6 | 15       |   1 |  2.5      |   0 |  0        |
| 106 | Colonial Heights City          |  242 |   61 |  144 |   6 |   4 |   0 |   0 |   0 |   3 |  218 |   77 | 35.3211  |   93 | 42.6606 |   7 |  3.21101  |  32 | 14.6789  |   9 |  4.12844  |   0 |  0        |
| 107 | Covington City                 |   62 |   28 |   21 |   1 |   1 |   0 |   0 |   1 |   1 |   53 |   11 | 20.7547  |   19 | 35.8491 |   4 |  7.54717  |  13 | 24.5283  |   4 |  7.54717  |   2 |  3.77358  |
|  23 | Craig County                   |   44 |   26 |   12 |   2 |   1 |   0 |   0 |   0 |   0 |   41 |   23 | 56.0976  |    7 | 17.0732 |   0 |  0        |   8 | 19.5122  |   3 |  7.31707  |   0 |  0        |
|  25 | Cumberland County              |  106 |   34 |   57 |   1 |   5 |   0 |   0 |   0 |   0 |   97 |   27 | 27.8351  |   41 | 42.268  |   0 |  0        |  20 | 20.6186  |   5 |  5.15464  |   4 |  4.12371  |
|  26 | Dickenson County               |  201 |  123 |   51 |   4 |   4 |   0 |   1 |   0 |   2 |  185 |   63 | 34.0541  |   51 | 27.5676 |   5 |  2.7027   |  56 | 30.2703  |   3 |  1.62162  |   7 |  3.78378  |
|  28 | Essex County                   |  134 |   68 |   44 |   3 |   8 |   0 |   0 |   5 |   1 |  129 |   44 | 34.1085  |   45 | 34.8837 |   7 |  5.42636  |  24 | 18.6047  |   5 |  3.87597  |   4 |  3.10078  |
| 109 | Falls Church City              |  182 |   39 |  145 |   1 |   2 |   0 |   0 |   0 |   0 |  187 |   16 |  8.55615 |  158 | 84.492  |   8 |  4.27807  |   3 |  1.60428 |   0 |  0        |   2 |  1.06952  |
|  31 | Floyd County                   |  166 |   89 |   57 |   4 |   7 |   0 |   0 |   0 |   0 |  157 |   48 | 30.5732  |   45 | 28.6624 |  24 | 15.2866   |  20 | 12.7389  |   6 |  3.82166  |  14 |  8.9172   |
|  32 | Fluvanna County                |  338 |  106 |  160 |   5 |   2 |   0 |   0 |   0 |   0 |  273 |  120 | 43.956   |   93 | 34.0659 |  13 |  4.7619   |  33 | 12.0879  |  12 |  4.3956   |   2 |  0.732601 |
| 135 | Franklin City                  |   80 |   34 |   28 |   1 |   3 |   0 |   0 |   1 |   1 |   68 |   16 | 23.5294  |   38 | 55.8824 |   7 | 10.2941   |   1 |  1.47059 |   6 |  8.82353  |   0 |  0        |
|  33 | Franklin County                |  612 |  198 |  255 |   8 |  10 |   0 |   0 |   0 |   0 |  471 |  225 | 47.7707  |  123 | 26.1146 |  29 |  6.15711  |  57 | 12.1019  |  19 |  4.03397  |  18 |  3.82166  |
|  34 | Frederick County               | 1097 |  355 |  534 |  24 |  14 |   0 |   1 |   0 |   4 |  932 |   89 |  9.54936 |  609 | 65.3433 |  53 |  5.6867   | 102 | 10.9442  |  61 |  6.54506  |  18 |  1.93133  |
| 110 | Fredericksburg City            |  293 |   90 |  159 |   2 |   6 |   0 |   0 |   2 |   1 |  260 |   40 | 15.3846  |  154 | 59.2308 |   6 |  2.30769  |  36 | 13.8462  |   6 |  2.30769  |  18 |  6.92308  |
| 111 | Galax City                     |   90 |   34 |   58 |   2 |   1 |   0 |   0 |   0 |   2 |   97 |   52 | 53.6082  |   32 | 32.9897 |   0 |  0        |  10 | 10.3093  |   3 |  3.09278  |   0 |  0        |
|  35 | Giles County                   |  196 |  116 |   43 |   0 |  11 |   0 |   0 |   2 |   0 |  172 |   76 | 44.186   |   40 | 23.2558 |  15 |  8.72093  |  34 | 19.7674  |   7 |  4.06977  |   0 |  0        |
|  36 | Gloucester County              |  437 |  197 |  166 |   0 |  15 |   0 |   0 |   0 |   2 |  380 |  117 | 30.7895  |  115 | 30.2632 |  24 |  6.31579  |  92 | 24.2105  |  32 |  8.42105  |   0 |  0        |
|  37 | Goochland County               |  227 |   74 |  129 |   0 |   6 |   0 |   0 |   0 |   1 |  210 |   78 | 37.1429  |   90 | 42.8571 |   6 |  2.85714  |  32 | 15.2381  |   4 |  1.90476  |   0 |  0        |
|  38 | Grayson County                 |  161 |   61 |   60 |   5 |   2 |   0 |   0 |   0 |   0 |  128 |   56 | 43.75    |   38 | 29.6875 |   6 |  4.6875   |  25 | 19.5312  |   1 |  0.78125  |   2 |  1.5625   |
|  39 | Greene County                  |  205 |   73 |  108 |   1 |   1 |   0 |   0 |   0 |   0 |  183 |   53 | 28.9617  |   73 | 39.8907 |   1 |  0.546448 |  54 | 29.5082  |   2 |  1.0929   |   0 |  0        |
|  40 | Greensville County             |  181 |   82 |   58 |   4 |   9 |   0 |   0 |   0 |   0 |  153 |   71 | 46.4052  |   68 | 44.4444 |   0 |  0        |   2 |  1.30719 |   3 |  1.96078  |   9 |  5.88235  |
|  44 | Henry County                   |  594 |  238 |  244 |  13 |  18 |   0 |   0 |   5 |   6 |  524 |  264 | 50.3817  |  165 | 31.4885 |  10 |  1.9084   |  56 | 10.687   |   9 |  1.71756  |  20 |  3.81679  |
|  45 | Highland County                |   16 |    4 |    7 |   1 |   3 |   0 |   0 |   0 |   0 |   15 |    3 | 20       |    5 | 33.3333 |   3 | 20        |   4 | 26.6667  |   0 |  0        |   0 |  0        |
| 114 | Hopewell City                  |  320 |  182 |   79 |   5 |  13 |   0 |   0 |   0 |   1 |  280 |   86 | 30.7143  |   81 | 28.9286 |  18 |  6.42857  |  53 | 18.9286  |  21 |  7.5      |  21 |  7.5      |
|  46 | Isle of Wight County           |  502 |  173 |  227 |   3 |   7 |   0 |   0 |   3 |  10 |  423 |   89 | 21.0402  |  212 | 50.1182 |  21 |  4.96454  |  53 | 12.5296  |  45 | 10.6383   |   3 |  0.70922  |
|  48 | King George County             |  373 |  147 |  195 |   2 |   4 |   0 |   0 |   0 |   1 |  349 |  100 | 28.6533  |  173 | 49.5702 |  22 |  6.30372  |  25 |  7.16332 |  27 |  7.73639  |   2 |  0.573066 |
|  50 | King William County            |  173 |   71 |   73 |   8 |   7 |   0 |   0 |   2 |   3 |  164 |   42 | 25.6098  |   56 | 34.1463 |  19 | 11.5854   |  41 | 25       |   4 |  2.43902  |   2 |  1.21951  |
|  49 | King and Queen County          |   56 |   28 |   11 |   0 |   7 |   0 |   0 |   0 |   0 |   46 |   14 | 30.4348  |   10 | 21.7391 |   4 |  8.69565  |  15 | 32.6087  |   3 |  6.52174  |   0 |  0        |
|  51 | Lancaster County               |  111 |   44 |   42 |   1 |   9 |   0 |   0 |   1 |   0 |   97 |   40 | 41.2371  |   31 | 31.9588 |   3 |  3.09278  |  20 | 20.6186  |   3 |  3.09278  |   0 |  0        |
|  52 | Lee County                     |  274 |  141 |   55 |   9 |   4 |   0 |   3 |   0 |   8 |  220 |   77 | 35       |   76 | 34.5455 |  20 |  9.09091  |  27 | 12.2727  |  10 |  4.54545  |  10 |  4.54545  |
|  55 | Lunenburg County               |  122 |   46 |   46 |   1 |   6 |   0 |   0 |   0 |   0 |   99 |   23 | 23.2323  |   57 | 57.5758 |   2 |  2.0202   |  13 | 13.1313  |   4 |  4.0404   |   0 |  0        |
|  56 | Madison County                 |  153 |   49 |   80 |   1 |   4 |   0 |   0 |   0 |   0 |  134 |   55 | 41.0448  |   30 | 22.3881 |   6 |  4.47761  |  25 | 18.6567  |   6 |  4.47761  |  12 |  8.95522  |
| 143 | Manassas City                  |  604 |  201 |  231 |   4 |  10 |   0 |   0 |   3 |   8 |  457 |  195 | 42.6696  |  128 | 28.0088 |  23 |  5.03282  |  93 | 20.3501  |  18 |  3.93873  |   0 |  0        |
| 144 | Manassas Park City             |  235 |  102 |  105 |   7 |   1 |   0 |   0 |   1 |   2 |  218 |   99 | 45.4128  |   66 | 30.2752 |   6 |  2.75229  |  32 | 14.6789  |  10 |  4.58716  |   5 |  2.29358  |
| 116 | Martinsville City              |  175 |   48 |   95 |   4 |   1 |   0 |   0 |   2 |   1 |  151 |   28 | 18.543   |  101 | 66.8874 |   4 |  2.64901  |  13 |  8.60927 |   3 |  1.98675  |   2 |  1.3245   |
|  57 | Mathews County                 |  115 |   43 |   59 |   0 |   6 |   0 |   2 |   0 |   0 |  110 |   27 | 24.5455  |   45 | 40.9091 |   7 |  6.36364  |  21 | 19.0909  |   7 |  6.36364  |   3 |  2.72727  |
|  58 | Mecklenburg County             |  417 |  158 |  160 |  23 |   4 |   0 |   4 |   0 |   0 |  349 |  113 | 32.3782  |  123 | 35.2436 |  13 |  3.72493  |  65 | 18.6246  |  19 |  5.44413  |  16 |  4.58453  |
|  59 | Middlesex County               |   90 |   37 |   50 |   1 |   2 |   0 |   0 |   0 |   0 |   90 |   35 | 38.8889  |   26 | 28.8889 |   9 | 10        |  11 | 12.2222  |   4 |  4.44444  |   5 |  5.55556  |
|  60 | Montgomery County              |  852 |  276 |  416 |   2 |  25 |   0 |   0 |   0 |   7 |  726 |  222 | 30.5785  |  390 | 53.719  |  14 |  1.92837  |  70 |  9.64187 |  12 |  1.65289  |  18 |  2.47934  |
|  62 | Nelson County                  |  177 |   65 |   78 |   3 |   2 |   0 |   0 |   0 |   6 |  154 |   47 | 30.5195  |   52 | 33.7662 |   1 |  0.649351 |  51 | 33.1169  |   3 |  1.94805  |   0 |  0        |
|  63 | New Kent County                |  239 |   66 |  124 |   3 |   3 |   0 |   0 |   0 |   4 |  200 |   64 | 32       |   87 | 43.5    |   5 |  2.5      |  33 | 16.5     |   9 |  4.5      |   2 |  1        |
| 117 | Newport News City              | 2191 |  936 |  698 |   8 |  53 |   0 |   0 |   1 |  49 | 1745 |  509 | 29.1691  |  714 | 40.9169 | 149 |  8.53868  | 223 | 12.7794  | 133 |  7.62178  |  17 |  0.974212 |
|  65 | Northampton County             |  113 |   64 |   28 |   0 |   3 |   0 |   5 |   0 |   1 |  101 |   38 | 37.6238  |   21 | 20.7921 |   7 |  6.93069  |  25 | 24.7525  |   6 |  5.94059  |   4 |  3.9604   |
|  66 | Northumberland County          |  111 |   54 |   35 |   3 |   7 |   0 |   0 |   0 |   1 |  100 |   33 | 33       |   34 | 34      |   5 |  5        |  21 | 21       |   6 |  6        |   1 |  1        |
| 119 | Norton City                    |   64 |   25 |   31 |   0 |   4 |   0 |   0 |   0 |   0 |   60 |   20 | 33.3333  |   28 | 46.6667 |   1 |  1.66667  |   9 | 15       |   1 |  1.66667  |   1 |  1.66667  |
|  67 | Nottoway County                |  182 |   69 |   65 |   5 |   7 |   0 |   0 |   0 |   0 |  146 |   69 | 47.2603  |   41 | 28.0822 |  11 |  7.53425  |  15 | 10.274   |  10 |  6.84932  |   0 |  0        |
|  68 | Orange County                  |  414 |  179 |  190 |   2 |   5 |   0 |   0 |   1 |   3 |  380 |  158 | 41.5789  |  107 | 28.1579 |  25 |  6.57895  |  67 | 17.6316  |  18 |  4.73684  |   5 |  1.31579  |
|  69 | Page County                    |  262 |   96 |  154 |   1 |   1 |   0 |   1 |   0 |   1 |  254 |   77 | 30.315   |   68 | 26.7717 |  16 |  6.29921  |  74 | 29.1339  |  16 |  6.29921  |   3 |  1.1811   |
|  70 | Patrick County                 |  209 |   80 |   80 |   8 |  10 |   0 |   0 |   1 |   2 |  181 |   57 | 31.4917  |   61 | 33.7017 |  10 |  5.52486  |  41 | 22.6519  |  11 |  6.07735  |   1 |  0.552486 |
| 120 | Petersburg City                |  295 |  152 |   58 |   1 |  23 |   0 |   0 |   0 |   0 |  234 |   52 | 22.2222  |   97 | 41.453  |   7 |  2.99145  |  63 | 26.9231  |   3 |  1.28205  |  12 |  5.12821  |
|  71 | Pittsylvania County            |  830 |  326 |  328 |   6 |  17 |   0 |   0 |   0 |   0 |  677 |  325 | 48.0059  |  216 | 31.9055 |   3 |  0.443131 | 105 | 15.5096  |  27 |  3.98818  |   1 |  0.14771  |
| 142 | Poquoson City                  |  218 |   47 |  136 |   3 |   1 |   0 |   0 |   0 |   2 |  189 |   59 | 31.2169  |  107 | 56.6138 |   2 |  1.0582   |  10 |  5.29101 |   5 |  2.6455   |   6 |  3.1746   |
| 121 | Portsmouth City                | 1199 |  533 |  333 |   3 |  60 |   0 |   0 |   3 |  17 |  949 |  280 | 29.5047  |  390 | 41.0959 |  70 |  7.37619  |  97 | 10.2213  |  96 | 10.1159   |  16 |  1.68599  |
|  72 | Powhatan County                |  374 |  143 |  193 |   1 |   4 |   0 |   0 |   8 |   0 |  349 |  125 | 35.8166  |  143 | 40.9742 |   0 |  0        |  68 | 19.4842  |  13 |  3.72493  |   0 |  0        |
|  73 | Prince Edward County           |  187 |   67 |   77 |   1 |   6 |   0 |   0 |   1 |   0 |  152 |   53 | 34.8684  |   71 | 46.7105 |   2 |  1.31579  |  15 |  9.86842 |  10 |  6.57895  |   1 |  0.657895 |
|  74 | Prince George County           |  540 |  230 |  184 |   0 |   6 |   0 |   0 |   2 |   1 |  423 |  121 | 28.6052  |  147 | 34.7518 |   1 |  0.236407 | 138 | 32.6241  |  16 |  3.78251  |   0 |  0        |
|  75 | Prince William County          | 6928 | 2653 | 2962 |  51 | 151 |   0 |   0 |   8 |  30 | 5855 | 1877 | 32.0581  | 2677 | 45.7216 | 296 |  5.05551  | 281 |  4.79932 | 252 |  4.30401  | 472 |  8.06149  |
|  77 | Pulaski County                 |  351 |  165 |  113 |  12 |  19 |   0 |   4 |   0 |  10 |  323 |  153 | 47.3684  |   70 | 21.6718 |   1 |  0.309598 |  49 | 15.1703  |  15 |  4.64396  |  35 | 10.8359   |
| 122 | Radford City                   |  127 |   47 |   57 |   2 |  11 |   0 |   0 |   1 |   0 |  118 |   41 | 34.7458  |   55 | 46.6102 |  11 |  9.32203  |   9 |  7.62712 |   1 |  0.847458 |   1 |  0.847458 |
|  78 | Rappahannock County            |   65 |   32 |   24 |   1 |   1 |   0 |   0 |   1 |   3 |   62 |   23 | 37.0968  |   18 | 29.0323 |   1 |  1.6129   |  16 | 25.8065  |   4 |  6.45161  |   0 |  0        |
| 123 | Richmond City                  | 1670 |  682 |  398 |  84 |  84 |   0 |   0 |   2 |   2 | 1252 |  372 | 29.7125  |  442 | 35.3035 |  42 |  3.35463  | 268 | 21.4058  |  57 |  4.55272  |  71 |  5.67093  |
|  79 | Richmond County                |   89 |   36 |   48 |   0 |   5 |   0 |   0 |   1 |   0 |   90 |   14 | 15.5556  |   50 | 55.5556 |   5 |  5.55556  |  13 | 14.4444  |   8 |  8.88889  |   0 |  0        |
|  80 | Roanoke County                 | 1279 |  432 |  695 |   6 |  34 |   0 |   0 |   3 |   9 | 1179 |  416 | 35.2841  |  560 | 47.4979 |  26 |  2.20526  | 130 | 11.0263  |  18 |  1.52672  |  29 |  2.45971  |
|  81 | Rockbridge County              |  271 |  125 |  118 |   1 |   4 |   0 |   0 |   0 |   1 |  249 |   41 | 16.4659  |   88 | 35.3414 |   8 |  3.21285  | 110 | 44.1767  |   2 |  0.803213 |   0 |  0        |
|  83 | Russell County                 |  329 |  198 |   98 |   7 |   4 |   0 |   2 |   0 |   2 |  311 |   89 | 28.6174  |   93 | 29.9035 |   0 |  0        | 125 | 40.1929  |   2 |  0.643087 |   2 |  0.643087 |
| 139 | Salem City                     |  305 |   86 |  180 |   5 |   7 |   0 |   1 |   0 |   2 |  281 |   80 | 28.4698  |  163 | 58.0071 |   0 |  0        |  26 |  9.25267 |   4 |  1.42349  |   8 |  2.84698  |
|  85 | Shenandoah County              |  501 |  189 |  233 |   3 |  23 |   0 |   0 |   1 |   0 |  449 |  183 | 40.7572  |  124 | 27.6169 |  35 |  7.7951   |  75 | 16.7038  |  19 |  4.23163  |  13 |  2.89532  |
|  86 | Smyth County                   |  397 |  176 |  124 |   3 |   6 |   0 |   0 |   0 |   0 |  309 |  141 | 45.6311  |   75 | 24.2718 |   8 |  2.589    |  64 | 20.712   |  11 |  3.55987  |  10 |  3.23625  |
|  87 | Southampton County             |  229 |   74 |   86 |   7 |   5 |   0 |   0 |   4 |   0 |  176 |   52 | 29.5455  |   73 | 41.4773 |  11 |  6.25     |  24 | 13.6364  |  16 |  9.09091  |   0 |  0        |
|  88 | Spotsylvania County            | 2068 |  661 | 1062 |  39 |  34 |   0 |   0 |   0 |  34 | 1830 |  520 | 28.4153  |  986 | 53.8798 |  89 |  4.86339  | 151 |  8.25137 |  79 |  4.31694  |   5 |  0.273224 |
|  89 | Stafford County                | 2317 |  780 | 1385 |  10 |  32 |   0 |   0 |  10 |   9 | 2226 |  551 | 24.7529  | 1242 | 55.7951 |  52 |  2.33603  | 135 |  6.06469 | 142 |  6.37916  | 104 |  4.67206  |
| 126 | Staunton City                  |  204 |   61 |  109 |   3 |   7 |   0 |   0 |   0 |   3 |  183 |   70 | 38.2514  |   66 | 36.0656 |   7 |  3.82514  |  31 | 16.9399  |   8 |  4.37158  |   1 |  0.546448 |
| 127 | Suffolk City                   | 1208 |  495 |  403 |  12 |  30 |   0 |   0 |  10 |   9 |  959 |  246 | 25.6517  |  415 | 43.2742 |  46 |  4.79666  | 156 | 16.2669  |  80 |  8.34202  |  16 |  1.6684   |
|  90 | Surry County                   |   70 |   34 |   28 |   1 |   1 |   0 |   0 |   0 |   0 |   64 |   13 | 20.3125  |   34 | 53.125  |   7 | 10.9375   |   4 |  6.25    |   6 |  9.375    |   0 |  0        |
|  92 | Tazewell County                |  591 |  261 |  169 |  10 |  19 |   0 |   0 |   2 |   5 |  466 |  183 | 39.2704  |  161 | 34.5494 |  13 |  2.7897   |  84 | 18.0258  |  19 |  4.07725  |   6 |  1.28755  |
|  93 | Warren County                  |  455 |  175 |  239 |   0 |  20 |   0 |  23 |   0 |   0 |  457 |  159 | 34.7921  |  153 | 33.4792 |  22 |  4.814    |  92 | 20.1313  |  19 |  4.15755  |  12 |  2.62582  |
|  94 | Washington County              |  552 |  265 |  224 |   2 |  14 |   0 |   0 |   0 |  10 |  515 |  217 | 42.1359  |  173 | 33.5922 |  29 |  5.63107  |  75 | 14.5631  |  18 |  3.49515  |   3 |  0.582524 |
| 207 | West Point                     |   60 |   18 |   33 |   0 |   0 |   0 |   0 |   0 |   0 |   51 |   16 | 31.3725  |   23 | 45.098  |   2 |  3.92157  |   6 | 11.7647  |   3 |  5.88235  |   1 |  1.96078  |
|  95 | Westmoreland County            |  154 |   69 |   63 |   0 |   2 |   0 |   0 |   1 |   0 |  135 |   61 | 45.1852  |   70 | 51.8519 |   2 |  1.48148  |   2 |  1.48148 |   0 |  0        |   0 |  0        |
| 131 | Williamsburg-James City County |  923 |  269 |  539 |   5 |  18 |   0 |   0 |   0 |  27 |  858 |  209 | 24.359   |  449 | 52.331  |  26 |  3.0303   |  81 |  9.44056 |  34 |  3.9627   |  59 |  6.87646  |
| 132 | Winchester City                |  332 |  109 |  147 |   9 |  11 |   0 |   2 |   0 |   1 |  279 |   67 | 24.0143  |  108 | 38.7097 |  13 |  4.6595   |  65 | 23.2975  |  17 |  6.09319  |   9 |  3.22581  |
|  96 | Wise County                    |  458 |  246 |  207 |   3 |  14 |   0 |   1 |   0 |   0 |  471 |  232 | 49.2569  |  132 | 28.0255 |  17 |  3.60934  |  36 |  7.64331 |   8 |  1.69851  |  46 |  9.76645  |
|  98 | York County                    | 1048 |  351 |  650 |   3 |   9 |   0 |   0 |   0 |   1 | 1014 |  285 | 28.1065  |  565 | 55.7199 |  28 |  2.76134  |  86 |  8.48126 |  47 |  4.63511  |   3 |  0.295858 |



labeled_formulas: H=(A*I)*J
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_509375___xlsx_74b5d0e6f4ad4920d29d08fc85d2d87c040f06a9.xlsx___line_498