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 |
|:-------------|:--------|----:|-----:|----------:|----:|----:|----:|----:|:------------|:--------|----:|----:|---------:|----:|----:|----:|----:|
| Simpson      | Buf     | 288 | 1314 |  4.5625   |  81 |  15 |  13 |   1 | Biletnikoff | Oak     |  64 | 798 | 12.4688  |  51 |   6 |   0 |  64 |
| Csonka       | Mia     | 220 | 1121 |  5.09545  |  40 |   6 |   0 |   1 | Garrison    | SD      |  54 | 804 | 14.8889  |  58 |   3 |   0 |  54 |
| Hubbard      | Oak     | 195 | 1063 |  5.45128  |  39 |   8 |   1 |   1 | Myers       | Cin     |  54 | 695 | 12.8704  |  37 |   7 |   0 |  54 |
| Johnson,RO   | NYG     | 283 |  966 |  3.41343  |  35 |   6 |   2 |   1 | Johnson,RO  | NYG     |  49 | 488 |  9.95918 |  39 |   3 |   0 |  49 |
| Little       | Den     | 223 |  797 |  3.57399  |  43 |   6 |   5 |   1 | Trumpy      | Cin     |  46 | 462 | 10.0435  |  32 |   0 |   0 |  46 |
| Taylor       | Det     | 169 |  727 |  4.30178  |  38 |   5 |   1 |   1 | Edwards     | SD      |  44 | 484 | 11       |  38 |   3 |   0 |  44 |
| Anderson     | StL     | 179 |  669 |  3.73743  |  28 |   3 |   4 |   1 | Maynard     | NYJ     |  42 | 739 | 17.5952  |  66 |   7 |   0 |  42 |
| Scott,B      | Clev    | 134 |  631 |  4.70896  |  16 |   2 |   1 |   1 | Taylor,C    | Was     |  42 | 476 | 11.3333  |  70 |   5 |   0 |  42 |
| Smith        | Oak     | 167 |  575 |  3.44311  |  28 |   4 |   1 |   1 | Hawkins     | Phi     |  39 | 775 | 19.8718  |  64 |   4 |   0 |  39 |
| Bertelsen    | LA      | 121 |  574 |  4.7438   |  42 |   2 |   3 |   1 | Havrilak    | Bal     |  38 | 579 | 15.2368  |  36 |   3 |   0 |  38 |
| Harraway     | Was     | 146 |  553 |  3.78767  |  24 |   5 |   0 |   1 | Pitts       | Clev    |  37 | 640 | 17.2973  |  39 |   5 |   0 |  37 |
| Ashton       | NE      | 127 |  521 |  4.10236  |  35 |   2 |   1 |   1 | Shanklin    | Pitt    |  35 | 616 | 17.6     |  36 |   2 |   0 |  35 |
| Nottingham   | Bal     | 131 |  518 |  3.9542   |  13 |   4 |   6 |   1 | Vataha      | NE      |  35 | 539 | 15.4     |  41 |   2 |   0 |  35 |
| Garrett      | NE      | 118 |  459 |  3.88983  |  42 |   1 |   1 |   1 | Caster      | NYJ     |  34 | 666 | 19.5882  |  48 |   4 |   0 |  34 |
| Schreiber    | SF      | 113 |  452 |  4        |  23 |   1 |   2 |   1 | Smith       | Oak     |  34 | 456 | 13.4118  |  49 |   3 |   0 |  34 |
| Braxton      | Buf     | 105 |  441 |  4.2      |  20 |   1 |   3 |   1 | Parks       | NO      |  33 | 508 | 15.3939  |  62 |   2 |   0 |  33 |
| Washington,V | SF      | 129 |  424 |  3.28682  |  33 |   3 |   6 |   1 | Hooker      | Clev    |  33 | 489 | 14.8182  |  43 |   1 |   0 |  33 |
| Roland       | StL     | 106 |  421 |  3.9717   |  27 |   1 |   4 |   1 | Smith       | StL     |  33 | 478 | 14.4848  |  54 |   2 |   0 |  33 |
| Gresham      | NO      | 136 |  401 |  2.94853  |  22 |   2 |   4 |   1 | Beasley     | Min     |  32 | 333 | 10.4062  |  48 |   0 |   0 |  32 |
| Robinson     | Cin/Hou |  89 |  392 |  4.40449  |  30 |   2 |   0 |   1 | Schreiber   | SF      |  31 | 455 | 14.6774  |  60 |   4 |   0 |  31 |
| Smith        | LA      |  55 |  390 |  7.09091  |  68 |   4 |   0 |   1 | Mitchell    | Atl     |  31 | 430 | 13.871   |  40 |   4 |   0 |  31 |
| Baker        | Phi     |  87 |  388 |  4.45977  |  24 |   0 |   0 |   1 | Hayes       | KC      |  31 | 428 | 13.8065  |  48 |   3 |   0 |  31 |
| Brown,B      | Min     |  72 |  306 |  4.25     |  26 |   4 |   4 |   1 | Siani       | Oak     |  30 | 453 | 15.1     |  71 |   3 |   0 |  30 |
| Bradshaw     | Pitt    |  44 |  296 |  6.72727  |  25 |   1 |   3 |   1 | Snow        | LA      |  30 | 452 | 15.0667  |  53 |   4 |   0 |  30 |
| Evans        | NYG     |  83 |  272 |  3.27711  |  29 |   0 |   2 |   1 | Bertelsen   | LA      |  30 | 226 |  7.53333 |  26 |   0 |   1 |  30 |
| Manning      | NO      |  45 |  267 |  5.93333  |  17 |   0 |   6 |   1 | Evans       | NYG     |  30 | 121 |  4.03333 |  13 |   1 |   2 |  30 |
| Clements     | NYG     |  56 |  259 |  4.625    |  22 |   2 |   5 |   1 | Morin       | Clev    |  29 | 437 | 15.069   |  32 |   3 |   0 |  29 |
| Plunkett     | NE      |  36 |  257 |  7.13889  |  25 |   0 |   0 |   1 | Taylor      | Det     |  29 | 268 |  9.24138 |  44 |   1 |   1 |  29 |
| Watkins      | Phi     |  54 |  247 |  4.57407  |  28 |   0 |   6 |   1 | Marinaro    | Min     |  29 | 200 |  6.89655 |  30 |   1 |   2 |  29 |
| Rodgers      | Hou     |  66 |  239 |  3.62121  |  25 |   1 |   4 |   1 | McCauley    | Bal     |  28 | 221 |  7.89286 |  37 |   1 |   0 |  28 |
| Anderson     | Den     |  69 |  239 |  3.46377  |  19 |   3 |   3 |   1 | Riggins     | NYJ     |  28 | 203 |  7.25    |  16 |   2 |   0 |  28 |
| Mitchell,L   | Bal     |  45 |  209 |  4.64444  |  28 |   2 |   3 |   1 | Little      | Den     |  26 | 303 | 11.6538  |  40 |   4 |   0 |  26 |
| Thomas       | LA      |  51 |  206 |  4.03922  |  33 |   4 |   0 |   1 | Rentzel     | LA      |  25 | 370 | 14.8     |  37 |   1 |   0 |  25 |
| Granger      | Hou     |  37 |  196 |  5.2973   |  18 |   0 |   3 |   1 | Harris      | Pitt    |  25 | 261 | 10.44    |  48 |   1 |   0 |  25 |
| Marinaro     | Min     |  49 |  183 |  3.73469  |  23 |   1 |   0 |   1 | Ashton      | NE      |  25 | 232 |  9.28    |  28 |   1 |   0 |  25 |
| Jones        | Min     |  53 |  181 |  3.41509  |  33 |   0 |   0 |   1 | Strong      | NO      |  25 | 219 |  8.76    |  21 |   0 |   1 |  25 |
| Williams,P   | GB      |  41 |  174 |  4.2439   |  16 |   3 |   2 |   1 | Herrmann    | NYG     |  24 | 453 | 18.875   |  63 |   4 |   0 |  24 |
| Lynch        | Den     |  37 |  164 |  4.43243  |  28 |   2 |   1 |   1 | Dale        | GB      |  24 | 353 | 14.7083  |  32 |   3 |   0 |  24 |
| Strong       | NO      |  55 |  163 |  2.96364  |  24 |   0 |   1 |   1 | McMakin     | Pitt    |  24 | 341 | 14.2083  |  36 |   6 |   0 |  24 |
| Orduna       | NYG     |  33 |  162 |  4.90909  |  22 |   0 |   0 |   1 | Reed        | Min     |  24 | 262 | 10.9167  |  38 |   2 |   2 |  24 |
| Phillips     | Cin     |  37 |  153 |  4.13514  |  21 |   2 |   0 |   1 | Butler      | NO      |  24 | 211 |  8.79167 |  23 |   1 |   0 |  24 |
| Lawson       | Chi     |  43 |  150 |  3.48837  |  26 |   0 |   3 |   1 | Sellers     | Dal     |  23 | 434 | 18.8696  |  59 |   5 |   2 |  23 |
| Phipps       | Clev    |  35 |  142 |  4.05714  |  18 |   1 |   4 |   1 | Burrough    | Hou     |  23 | 403 | 17.5217  |  33 |   3 |   0 |  23 |
| Kinney       | KC      |  35 |  141 |  4.02857  |  15 |   1 |   4 |   1 | Smith       | Was     |  23 | 373 | 16.2174  |  48 |   2 |   0 |  23 |
| Patrick      | Buf     |  30 |  139 |  4.63333  |  12 |   0 |   3 |   1 | Houston     | NYG     |  23 | 338 | 14.6957  |  38 |   4 |   2 |  23 |
| Pastorini    | Hou     |  25 |  126 |  5.04     |  15 |   0 |   3 |   1 | Braxton     | Buf     |  23 | 275 | 11.9565  |  38 |   2 |   0 |  23 |
| Tarver       | NE      |  34 |  120 |  3.52941  |  22 |   0 |   0 |   1 | Moses       | Buf/Den |  22 | 331 | 15.0455  |  33 |   0 |   0 |  22 |
| Eddy         | Det     |  21 |  110 |  5.2381   |  13 |   0 |   0 |   1 | Simpson     | Buf     |  22 | 194 |  8.81818 |  48 |   2 |   4 |  22 |
| Profit       | Atl     |  37 |  110 |  2.97297  |  14 |   0 |   0 |   1 | Briscoe     | Mia     |  21 | 337 | 16.0476  |  52 |   4 |   0 |  21 |
| Shaw         | Buf     |  31 |  104 |  3.35484  |  21 |   0 |   3 |   1 | Chester     | Oak     |  21 | 239 | 11.381   |  37 |   2 |   0 |  21 |
| Newhouse     | Dal     |  24 |  103 |  4.29167  |  10 |   0 |   1 |   1 | Kelly       | Clev    |  21 | 171 |  8.14286 |  17 |   1 |   1 |  21 |
| Davis,ST     | Pitt    |  22 |  100 |  4.54545  |  19 |   1 |   0 |   1 | Ellison     | LA      |  21 | 152 |  7.2381  |  23 |   0 |   0 |  21 |
| Burns        | StL     |  31 |  100 |  3.22581  |  13 |   0 |   0 |   1 | Odoms       | Den     |  20 | 349 | 17.45    |  55 |   1 |   1 |  20 |
| Livingston   | KC      |  13 |   96 |  7.38462  |  40 |   0 |   0 |   1 | Reed        | Hou     |  20 | 275 | 13.75    |  96 |   3 |   1 |  20 |
| Domres       | Bal     |  22 |   93 |  4.22727  |  15 |   0 |   1 |   1 | Osborn      | Min     |  20 | 183 |  9.15    |  49 |   0 |   2 |  20 |
| Havrilak     | Bal     |   8 |   87 | 10.875    |  20 |   1 |   0 |   1 | Twilley     | Mia     |  19 | 336 | 17.6842  |  51 |   3 |   0 |  19 |
| Brunet       | Was     |  31 |   87 |  2.80645  |   9 |   1 |   0 |   1 | Parks       | Dal     |  19 | 300 | 15.7895  |  38 |   1 |   0 |  19 |
| Lewis        | Pitt    |   3 |   85 | 28.3333   |  40 |   0 |   0 |   1 | Mitchell,L  | Bal     |  19 | 205 | 10.7895  |  36 |   1 |   0 |  19 |
| Anderson     | Cin     |  34 |   78 |  2.29412  |  18 |   1 |   4 |   1 | Morris      | Mia     |  19 | 193 | 10.1579  |  22 |   1 |   0 |  19 |
| Gladieux     | NE      |  22 |   76 |  3.45455  |  11 |   0 |   0 |   1 | Lane        | GB      |  18 | 252 | 14       |  50 |   1 |   2 |  18 |
| Odoms        | Den     |   5 |   74 | 14.8      |  29 |   1 |   0 |   1 | Glass       | GB      |  18 | 242 | 13.4444  |  50 |   2 |   0 |  18 |
| Hadl         | SD      |  22 |   72 |  3.27273  |  16 |   0 |   1 |   1 | Gladieux    | NE      |  18 | 233 | 12.9444  |  34 |   1 |   1 |  18 |
| Taylor       | SD      |   9 |   66 |  7.33333  |  22 |   0 |   1 |   1 | Baker       | Phi     |  18 |  82 |  4.55556 |  13 |   0 |   0 |  18 |
| Otis         | KC      |  20 |   66 |  3.3      |  12 |   0 |   0 |   1 | Chesson     | Atl     |  17 | 282 | 16.5882  |  50 |   1 |   0 |  17 |
| Morrison     | NYG     |   8 |   65 |  8.125    |  45 |   0 |   0 |   1 | James       | Phi     |  17 | 149 |  8.76471 |  18 |   1 |   1 |  17 |
| Morton       | Dal     |  24 |   65 |  2.70833  |  16 |   0 |   1 |   1 | Hubbard     | Oak     |  17 | 108 |  6.35294 |  36 |   0 |   0 |  17 |
| Thomas       | Chi     |   5 |   63 | 12.6      |  20 |   0 |   0 |   1 | O'Brien     | Bal     |  16 | 324 | 20.25    |  58 |   7 |   0 |  16 |
| Baynham      | StL     |  14 |   60 |  4.28571  |  15 |   0 |   2 |   1 | Simmons     | Den     |  16 | 300 | 18.75    |  50 |   0 |   0 |  16 |
| Bjorklund    | NYJ     |  13 |   57 |  4.38462  |  12 |   0 |   0 |   1 | Dicus       | SD      |  16 | 211 | 13.1875  |  28 |   0 |   0 |  16 |
| Green        | NO      |  12 |   56 |  4.66667  |  18 |   0 |   0 |   1 | Brockington | GB      |  16 | 204 | 12.75    |  50 |   0 |   1 |  16 |
| Mitchell     | Atl     |   2 |   54 | 27        |  27 |   0 |   0 |   1 | Ditka       | Dal     |  16 | 124 |  7.75    |  19 |   1 |   0 |  16 |
| Leigh        | Mia     |  19 |   54 |  2.84211  |  10 |   1 |   1 |   1 | Wright      | KC      |  16 | 101 |  6.3125  |  22 |   0 |   0 |  16 |
| Ray          | Atl     |   7 |   52 |  7.42857  |  13 |   1 |   2 |   1 | Harraway    | Was     |  16 |  89 |  5.5625  |  16 |   0 |   0 |  16 |
| Mul-Key      | Was     |  36 |   51 |  1.41667  |  21 |   0 |   1 |   1 | Farmer      | Chi     |  15 | 375 | 25       |  63 |   7 |   0 |  15 |
| Carter       | SD      |   2 |   50 | 25        |  29 |   0 |   0 |   1 | Washington  | Min     |  15 | 222 | 14.8     |  42 |   2 |   0 |  15 |
| Dowling      | NE      |  11 |   50 |  4.54545  |  12 |   0 |   0 |   1 | Alworth     | Dal     |  15 | 185 | 12.3333  |  34 |   1 |   0 |  15 |
| Reaves       | Phi     |  11 |   50 |  4.54545  |  15 |   1 |   1 |   1 | White       | Buf     |  15 | 155 | 10.3333  |  38 |   4 |   0 |  15 |
| Kopay        | GB      |  12 |   48 |  4        |  23 |   0 |   2 |   1 | Adamle      | KC      |  15 | 114 |  7.6     |  29 |   0 |   3 |  15 |
| Triplett     | Det     |  14 |   47 |  3.35714  |  11 |   0 |   0 |   1 | Barkum      | NYJ     |  14 | 217 | 15.5     |  33 |   4 |   1 |  14 |
| Hunter       | GB      |  26 |   45 |  1.73077  |  27 |   0 |   3 |   1 | Cotton      | Det     |  14 | 217 | 15.5     |  49 |   1 |   0 |  14 |
| Krieg        | Den     |   1 |   44 | 44        |  44 |   1 |   0 |   1 | Carmichael  | Phi     |  14 | 186 | 13.2857  |  31 |   0 |   0 |  14 |
| Shivers      | StL     |   4 |   44 | 11        |  27 |   0 |   0 |   1 | Mandich     | Mia     |  14 | 184 | 13.1429  |  48 |   1 |   0 |  14 |
| Jackson      | Buf     |  14 |   44 |  3.14286  |  13 |   0 |   0 |   1 | Thomas      | Cin     |  14 | 155 | 11.0714  |  27 |   1 |   0 |  14 |
| Josephson    | LA      |  16 |   44 |  2.75     |   8 |   0 |   0 |   1 | Stowe       | Mia     |  13 | 268 | 20.6154  |  50 |   2 |   0 |  13 |
| Walsh        | Hou     |   9 |   42 |  4.66667  |  12 |   1 |   0 |   1 | Beirne      | Hou     |  13 | 180 | 13.8462  |  29 |   0 |   0 |  13 |
| Morrall      | Mia     |  20 |   42 |  2.1      |   7 |   1 |   0 |   1 | Smith       | LA      |  13 | 139 | 10.6923  |  23 |   1 |   0 |  13 |
| Johnson,RA   | NYG     |  11 |   41 |  3.72727  |  14 |   0 |   0 |   1 | Adkins      | NO      |  13 | 136 | 10.4615  |  29 |   1 |   2 |  13 |
| Montgomery   | Dal     |  25 |   40 |  1.6      |  18 |   0 |   0 |   1 | Owens       | Det     |  13 | 118 |  9.07692 |  48 |   0 |   0 |  13 |
| Staubach     | Dal     |   5 |   39 |  7.8      |  23 |   0 |   0 |   1 | Thomas      | SF      |  13 | 109 |  8.38462 |  48 |   1 |   0 |  13 |
| Bankston     | Pitt    |   7 |   39 |  5.57143  |  14 |   0 |   0 |   1 | Fuqua       | Pitt    |  12 | 124 | 10.3333  |  28 |   0 |   2 |  12 |
| Turner,C     | Den     |   8 |   34 |  4.25     |  13 |   1 |   0 |   1 | Tarver      | NE      |  12 | 122 | 10.1667  |  23 |   0 |   0 |  12 |
| Berry        | Atl     |  19 |   33 |  1.73684  |   6 |   0 |   3 |   1 | Harrison    | Chi     |  12 |  32 |  2.66667 |  34 |   1 |   1 |  12 |
| Zofko        | Det     |   9 |   31 |  3.44444  |  19 |   0 |   0 |   1 | Lawson      | Chi     |  11 | 202 | 18.3636  |  40 |   0 |   2 |  11 |
| Ford         | NO      |  11 |   31 |  2.81818  |   6 |   1 |   0 |   1 | Brown       | NO      |  11 | 164 | 14.9091  |  45 |   1 |   0 |  11 |
| Taylor,C     | Was     |   1 |   29 | 29        |  29 |   0 |   0 |   1 | Kramer      | Phi     |  11 | 159 | 14.4545  |  29 |   0 |   0 |  11 |
| Belton       | Atl     |  11 |   29 |  2.63636  |   8 |   0 |   1 |   1 | Josephson   | LA      |  11 | 142 | 12.9091  |  50 |   1 |   1 |  11 |
| White,L      | SD      |  18 |   29 |  1.61111  |  10 |   0 |   0 |   1 | Staggers    | GB      |  11 | 132 | 12       |  30 |   0 |   0 |  11 |
| Chandler,B   | Buf     |   3 |   28 |  9.33333  |  15 |   0 |   0 |   1 | Seymour     | Chi     |  11 | 127 | 11.5455  |  28 |   1 |   0 |  11 |
| Carter       | Cin     |   9 |   28 |  3.11111  |  12 |   0 |   1 |   1 | Thomas      | LA      |  11 |  88 |  8       |  13 |   1 |   0 |  11 |
| Van Galder   | StL     |   9 |   27 |  3        |   7 |   0 |   1 |   1 | Ballman     | Phi     |  10 | 190 | 19       |  31 |   0 |   0 |  10 |
| Butkus       | Chi     |   1 |   26 | 26        |  26 |   0 |   0 |   1 | Hayes       | Dal     |  10 | 183 | 18.3     |  50 |   0 |   1 |  10 |
| Nock         | Was     |   5 |   26 |  5.2      |  16 |   0 |   0 |   1 | Montgomery  | Dal     |  10 | 160 | 16       |  34 |   0 |   0 |  10 |
| Rentzel      | LA      |   6 |   26 |  4.33333  |  20 |   0 |   0 |   1 | Brown,B     | Min     |  10 | 117 | 11.7     |  22 |   0 |   1 |  10 |
| Reeves       | Dal     |   7 |   25 |  3.57143  |  16 |   0 |   0 |   1 | Banaszak    | Oak     |  10 |  87 |  8.7     |  18 |   2 |   1 |  10 |
| Maitland     | NE      |  15 |   25 |  1.66667  |   7 |   0 |   0 |   1 | Matte       | Bal     |  10 |  84 |  8.4     |  19 |   1 |   0 |  10 |
| Cunningham   | SF      |   5 |   23 |  4.6      |  12 |   0 |   0 |   1 | Fleming     | Mia     |  10 |  77 |  7.7     |  19 |   0 |   0 |  10 |
| Duhon        | NYG     |   9 |   23 |  2.55556  |   6 |   0 |   0 |   1 | Phillips    | Cin     |  10 |  66 |  6.6     |  13 |   0 |   0 |  10 |
| Unitas       | Bal     |   4 |   22 |  5.5      |  22 |   0 |   2 |   1 | Otis        | KC      |  10 |  63 |  6.3     |  30 |   1 |   0 |  10 |
| Doughty      | Bal     |   1 |   21 | 21        |  21 |   0 |   0 |   1 | Burns       | StL     |  10 |  62 |  6.2     |  17 |   0 |   0 |  10 |
| Herrmann     | NYG     |   2 |   21 | 10.5      |  16 |   0 |   0 |   1 | Henderson   | Min     |   9 | 165 | 18.3333  |  30 |   0 |   0 |   9 |
| Rashad       | StL     |   6 |   20 |  3.33333  |  24 |   0 |   0 |   1 | West        | KC      |   9 | 143 | 15.8889  |  28 |   1 |   0 |   9 |
| Davis        | NYJ     |   6 |   20 |  3.33333  |  16 |   0 |   1 |   1 | Norman      | SD      |   9 | 128 | 14.2222  |  27 |   2 |   0 |   9 |
| Bleier       | Pitt    |   1 |   19 | 19        |  19 |   0 |   0 |   1 | Fugett      | Dal     |   9 | 106 | 11.7778  |  27 |   1 |   0 |   9 |
| Smith        | StL     |   1 |   19 | 19        |  19 |   0 |   0 |   1 | Pearson     | Pitt    |   9 | 102 | 11.3333  |  25 |   0 |   1 |   9 |
| Robinson,V   | NO      |   4 |   19 |  4.75     |   8 |   0 |   0 |   1 | Homan       | KC      |   9 |  53 |  5.88889 |  21 |   1 |   0 |   9 |
| Smith        | Was     |   1 |   18 | 18        |  18 |   0 |   0 |   1 | Hinton,E    | Bal     |   8 | 157 | 19.625   |  63 |   2 |   0 |   8 |
| Hayes        | Dal     |   2 |   18 |  9        |  13 |   0 |   0 |   1 | Frazier     | KC      |   8 | 106 | 13.25    |  34 |   0 |   0 |   8 |
| Stabler      | Oak     |   4 |   18 |  4.5      |  10 |   0 |   0 |   1 | Patrick     | Buf     |   8 |  68 |  8.5     |  44 |   0 |   0 |   8 |
| Gabriel      | LA      |  14 |   18 |  1.28571  |   4 |   0 |   1 |   1 | Riley       | SF      |   8 |  63 |  7.875   |  23 |   1 |   0 |   8 |
| Pitts        | Clev    |   3 |   17 |  5.66667  |  18 |   0 |   0 |   1 | Rodgers     | Hou     |   8 |  59 |  7.375   |  16 |   0 |   0 |   8 |
| Burrow       | Atl     |   3 |   17 |  5.66667  |  16 |   0 |   0 |   1 | Robinson    | Cin/Hou |   8 |  55 |  6.875   |  12 |   0 |   0 |   8 |
| Wright       | KC      |   1 |   16 | 16        |  16 |   0 |   0 |   1 | Williams    | SD      |   7 | 122 | 17.4286  |  25 |   3 |   0 |   7 |
| Lefear       | Clev    |   3 |   15 |  5        |   6 |   0 |   0 |   1 | Young       | Pitt    |   7 |  78 | 11.1429  |  27 |   0 |   0 |   7 |
| Taliaferro   | Buf     |   4 |   15 |  3.75     |   7 |   0 |   1 |   1 | Boozer      | NYJ     |   7 |  77 | 11       |  22 |   1 |   0 |   7 |
| Conley       | Cin     |   4 |   14 |  3.5      |   5 |   0 |   0 |   1 | Garrett     | GB      |   7 |  75 | 10.7143  |  33 |   2 |   0 |   7 |
| Liske        | Phi     |   7 |   14 |  2        |   5 |   0 |   0 |   1 | Mackey      | SD      |   7 |  63 |  9       |  17 |   0 |   0 |   7 |
| Woodeshick   | StL     |   6 |   13 |  2.16667  |   8 |   0 |   0 |   1 | Sullivan    | Phi     |   7 |  35 |  5       |  16 |   0 |   0 |   7 |
| Neely        | Dal     |   1 |   12 | 12        |  12 |   0 |   0 |   1 | Grim        | NYG     |   6 | 175 | 29.1667  |  50 |   1 |   0 |   6 |
| Hill         | Buf     |   1 |   12 | 12        |  12 |   0 |   0 |   1 | Gray        | StL     |   6 | 100 | 16.6667  |  32 |   1 |   0 |   6 |
| Rucker       | NE      |   2 |   12 |  6        |  14 |   0 |   1 |   1 | Farr        | Det     |   6 |  92 | 15.3333  |  39 |   0 |   0 |   6 |
| Queen        | Oak     |   4 |   12 |  3        |   8 |   0 |   0 |   1 | Van Heusen  | Den     |   6 |  80 | 13.3333  |  24 |   1 |   0 |   6 |
| Thompson     | NYG     |   8 |   12 |  1.5      |   6 |   0 |   1 |   1 | Barnes      | Det     |   6 |  74 | 12.3333  |  43 |   2 |   0 |   6 |
| Sullivan     | Phi     |  14 |   12 |  0.857143 |   8 |   0 |   0 |   1 | Davis       | Oak     |   6 |  62 | 10.3333  |  17 |   1 |   0 |   6 |
| Ernst        | Den     |   2 |   11 |  5.5      |   8 |   0 |   0 |   1 | Csonka      | Mia     |   6 |  48 |  8       |  23 |   0 |   0 |   6 |
| Fugett       | Dal     |   3 |   11 |  3.66667  |  18 |   0 |   0 |   1 | Glass       | Clev    |   6 |  45 |  7.5     |  19 |   1 |   0 |   6 |
| Johnson,A    | Hou     |  11 |   11 |  1        |   6 |   0 |   0 |   1 | Walsh       | Hou     |   6 |  26 |  4.33333 |  10 |   0 |   0 |   6 |
| Koy          | Buf     |   1 |   10 | 10        |  10 |   0 |   0 |   1 | Davis       | GB      |   5 | 141 | 28.2     |  37 |   0 |   0 |   5 |
| Johnson,C    | NO      |   1 |   10 | 10        |  10 |   0 |   0 |   1 | McCullouch  | Det     |   5 |  79 | 15.8     |  26 |   1 |   0 |   5 |
| Jones        | Buf     |   2 |   10 |  5        |  10 |   0 |   1 |   1 | Brown       | Clev    |   5 |  58 | 11.6     |  29 |   1 |   1 |   5 |
| McMakin      | Pitt    |   1 |    9 |  9        |   9 |   0 |   0 |   1 | Kopay       | GB      |   5 |  51 | 10.2     |  28 |   0 |   1 |   5 |
| West         | KC      |   2 |    9 |  4.5      |  12 |   1 |   0 |   1 | Bailey      | Phi     |   5 |  31 |  6.2     |  11 |   1 |   0 |   5 |
| Nowatzke     | Bal     |   4 |    9 |  2.25     |   4 |   0 |   0 |   1 | Truax       | Dal     |   5 |  21 |  4.2     |   8 |   1 |   0 |   5 |
| Lewis        | Cin     |   1 |    8 |  8        |   8 |   0 |   0 |   1 | Johnson,A   | Hou     |   5 |  19 |  3.8     |   9 |   0 |   1 |   5 |
| Clark        | SD      |   2 |    7 |  3.5      |   7 |   0 |   1 |   1 | Eddy        | Det     |   4 | 142 | 35.5     |  78 |   1 |   0 |   4 |
| Tucker       | NYG     |   2 |    7 |  3.5      |  14 |   0 |   0 |   1 | Reynolds,T  | NE      |   4 |  95 | 23.75    |  33 |   0 |   0 |   4 |
| Johnson      | Den     |  11 |    7 |  0.636364 |   3 |   0 |   0 |   1 | Harkey      | NYJ     |   4 |  82 | 20.5     |  49 |   1 |   0 |   4 |
| Beathard     | LA      |   2 |    6 |  3        |   5 |   0 |   0 |   1 | Coslet      | Cin     |   4 |  54 | 13.5     |  20 |   0 |   0 |   4 |
| Kosins       | Chi     |   4 |    6 |  1.5      |   5 |   0 |   0 |   1 | Branch      | Oak     |   4 |  49 | 12.25    |  26 |   0 |   0 |   4 |
| Butler       | StL     |   4 |    6 |  1.5      |   3 |   0 |   0 |   1 | Carter      | SD      |   4 |  49 | 12.25    |  16 |   0 |   0 |   4 |
| Brodie       | SF      |   6 |    6 |  1        |   4 |   0 |   0 |   1 | Doughty     | Bal     |   4 |  45 | 11.25    |  18 |   0 |   0 |   4 |
| Morrison     | Cin     |   1 |    5 |  5        |   5 |   0 |   0 |   1 | Doughty     | Bal     |   4 |  45 | 11.25    |  18 |   0 |   0 |   4 |
| Dawson       | KC      |  10 |    5 |  0.5      |  15 |   0 |   0 |   1 | Bulaich     | Bal     |   4 |  37 |  9.25    |  13 |   0 |   2 |   4 |
| Branch       | Oak     |   1 |    4 |  4        |   4 |   0 |   0 |   1 | Cornell     | Clev    |   4 |  30 |  7.5     |  15 |   0 |   0 |   4 |
| Jurgensen    | Was     |   3 |    4 |  1.33333  |   2 |   0 |   0 |   1 | Holmes,R    | Hou     |   4 |  18 |  4.5     |   9 |   0 |   0 |   4 |
| Bailey       | Phi     |   4 |    4 |  1        |   3 |   0 |   0 |   1 | Witcher     | SF      |   4 |   7 |  1.75    |   6 |   0 |   0 |   4 |
| Tagge        | GB      |   5 |    4 |  0.8      |   4 |   0 |   0 |   1 | Hilton      | Det     |   3 | 112 | 37.3333  |  66 |   1 |   0 |   3 |
| Taylor       | KC      |   6 |    4 |  0.666667 |  10 |   1 |   0 |   1 | Krieg       | Den     |   3 |  63 | 21       |  35 |   0 |   0 |   3 |
| Cuozzo       | StL     |   6 |    4 |  0.666667 |   2 |   0 |   0 |   1 | Clements    | NYG     |   3 |  63 | 21       |  45 |   1 |   0 |   3 |
| Alworth      | Dal     |   1 |    3 |  3        |   3 |   0 |   0 |   1 | Jackson     | Buf     |   3 |  61 | 20.3333  |  38 |   0 |   0 |   3 |
| Crowe        | Phi     |   1 |    3 |  3        |   3 |   0 |   0 |   1 | Pinder      | Chi     |   3 |  57 | 19       |  29 |   0 |   0 |   3 |
| Mack         | LA      |   1 |    3 |  3        |   3 |   0 |   0 |   1 | Beer        | NE      |   3 |  51 | 17       |  21 |   0 |   0 |   3 |
| Sullivan     | Atl     |   1 |    3 |  3        |   3 |   0 |   0 |   1 | Orduna      | NYG     |   3 |  50 | 16.6667  |  26 |   0 |   0 |   3 |
| Mildren      | Bal     |   2 |    3 |  1.5      |   3 |   0 |   0 |   1 | LeVias      | SD      |   3 |  47 | 15.6667  |  23 |   0 |   1 |   3 |
| Nix          | Hou     |   2 |    3 |  1.5      |   2 |   0 |   0 |   1 | Ginn        | Mia     |   3 |  44 | 14.6667  |  29 |   0 |   1 |   3 |
| Wyche        | Was     |   1 |    2 |  2        |   2 |   0 |   0 |   1 | Ray         | Atl     |   3 |  44 | 14.6667  |  38 |   0 |   0 |   3 |
| Hart,L       | Buf     |   1 |    2 |  2        |   2 |   0 |   0 |   1 | Sweet       | LA      |   3 |  40 | 13.3333  |  23 |   0 |   0 |   3 |
| Turner       | Chi     |   3 |    2 |  0.666667 |  16 |   0 |   0 |   1 | Turner      | Chi     |   3 |  40 | 13.3333  |  21 |   0 |   0 |   3 |
| Arrington    | Phi     |   1 |    1 |  1        |   1 |   0 |   0 |   1 | Jarvis      | Atl     |   3 |  38 | 12.6667  |  16 |   0 |   0 |   3 |
| Hayden       | StL     |   5 |    1 |  0.2      |   2 |   0 |   0 |   1 | Richardson  | Clev    |   3 |  33 | 11       |  15 |   0 |   0 |   3 |
| Griese       | Mia     |   9 |    1 |  0.111111 |   7 |   0 |   1 |   1 | Lynch       | Den     |   3 |  25 |  8.33333 |  13 |   1 |   0 |   3 |
| Weaver, H.   | Det     |   1 |    0 |  0        |   0 |   0 |   1 |   1 | Moore       | Oak     |   3 |  24 |  8       |  11 |   0 |   0 |   3 |
| Fagan        | NO      |   1 |    0 |  0        |   0 |   0 |   1 |   1 | Kinney      | KC      |   3 |  21 |  7       |  10 |   1 |   0 |   3 |
| Anderson     | Mia     |   1 |    0 |  0        |   0 |   0 |   1 |   1 | Duhon       | NYG     |   3 |  13 |  4.33333 |   6 |   0 |   0 |   3 |
| Bradley      | Phi     |   1 |    0 |  0        |   0 |   0 |   1 |   1 | McClain     | NYJ     |   2 |  48 | 24       |  40 |   0 |   0 |   2 |
| Munson       | Det     |   1 |    0 |  0        |   0 |   0 |   0 |   1 | Stewart     | NYJ     |   2 |  28 | 14       |  16 |   1 |   0 |   2 |
| Windsor      | NE      |   1 |    0 |  0        |   0 |   0 |   0 |   1 | Turner,C    | Den     |   2 |  26 | 13       |  22 |   1 |   0 |   2 |
| SA. Davis    | Pitt    |   2 |    0 |  0        |   3 |   0 |   0 |   1 | Morrison    | NYG     |   2 |  22 | 11       |  13 |   0 |   0 |   2 |
| Gilliam      | Pitt    |   3 |    0 |  0        |   0 |   0 |   0 |   1 | White,L     | SD      |   2 |  22 | 11       |  15 |   0 |   0 |   2 |
| Kwalick      | SF      |   3 |    0 |  0        |   2 |   0 |   0 |   1 | Dawson      | Hou     |   2 |  20 | 10       |  14 |   0 |   0 |   2 |
| Del Gaizo    | Mia     |   3 |    0 |  0        |   2 |   0 |   0 |   1 | Davis,ST    | Pitt    |   2 |  19 |  9.5     |  12 |   0 |   0 |   2 |
| Jackson      | Phi     |   7 |   -1 | -0.142857 |  13 |   0 |   1 |   1 | Profit      | Atl     |   2 |  17 |  8.5     |   9 |   0 |   0 |   2 |
| Spurrier     | SF      |   5 |   -1 | -0.2      |   4 |   0 |   3 |   1 | Voigt       | Min     |   2 |  16 |  8       |  14 |   1 |   0 |   2 |
| Klein        | LA      |   1 |   -1 | -1        |   0 |   0 |   0 |   1 | Mul-Key     | Was     |   2 |  15 |  7.5     |   9 |   0 |   0 |   2 |
| Warfield     | Mia     |   1 |   -1 | -1        |   0 |   0 |   0 |   1 | Butler      | StL     |   2 |  14 |  7       |   9 |   0 |   0 |   2 |
| Hart         | StL     |   6 |   -2 | -0.333333 |   3 |   1 |   0 |   1 | Lindsey     | Min     |   2 |  13 |  6.5     |   8 |   0 |   0 |   2 |
| Eischeid     | Min     |   2 |   -2 | -1        |   0 |   0 |   1 |   1 | Newhouse    | Dal     |   2 |  13 |  6.5     |  11 |   1 |   0 |   2 |
| Hanratty     | Pitt    |   1 |   -2 | -2        |   0 |   0 |   0 |   1 | Jones       | Min     |   2 |  13 |  6.5     |  10 |   1 |   0 |   2 |
| Nelsen       | Clev    |   1 |   -2 | -2        |   0 |   0 |   0 |   1 | Gordon      | LA      |   2 |  12 |  6       |   7 |   0 |   0 |   2 |
| Highsmith    | Oak     |  10 |   -3 | -0.3      |   8 |   0 |   2 |   1 | Watkins     | Phi     |   2 |   9 |  4.5     |   7 |   1 |   0 |   2 |
| Ramsey       | Den     |   6 |   -3 | -0.5      |   5 |   0 |   0 |   1 | McGeorge    | GB      |   2 |   7 |  3.5     |   4 |   0 |   0 |   2 |
| Davis        | GB      |   1 |   -3 | -3        |   0 |   0 |   0 |   1 | Wallace     | Chi     |   1 |  35 | 35       |  35 |   0 |   0 |   1 |
| Cornell      | Clev    |  12 |   -4 | -0.333333 |   4 |   0 |   0 |   1 | Allen       | KC      |   1 |  25 | 25       |  25 |   0 |   0 |   1 |
| Kilmer       | Was     |   4 |   -5 | -1.25     |   0 |   0 |   1 |   1 | Love        | LA      |   1 |  24 | 24       |  24 |   0 |   0 |   1 |
| Dicus        | SD      |   1 |   -5 | -5        |   0 |   0 |   0 |   1 | Staroba     | Clev    |   1 |  24 | 24       |  24 |   0 |   0 |   1 |
| Seymour      | Chi     |   1 |   -5 | -5        |   0 |   0 |   0 |   1 | Ford        | NO      |   1 |  16 | 16       |  16 |   0 |   0 |   1 |
| Snead        | NYG     |   7 |   -7 | -1        |   3 |   0 |   1 |   1 | Bjorklund   | NYJ     |   1 |  15 | 15       |  15 |   0 |   0 |   1 |
| Parsons      | Chi     |   1 |   -7 | -7        |   0 |   0 |   0 |   1 | Buie        | Cin     |   1 |  12 | 12       |  12 |   0 |   0 |   1 |
| Sherman      | Den     |   1 |   -7 | -7        |   0 |   0 |   0 |   1 | Whitaker    | NO      |   1 |  12 | 12       |  12 |   0 |   0 |   1 |
| Moses        | Den     |   1 |   -7 | -7        |   0 |   0 |   0 |   1 | Washington  | Buf     |   1 |  12 | 12       |  12 |   0 |   0 |   1 |
| Masters      | Den     |   1 |   -7 | -7        |   0 |   0 |   0 |   1 | Kosins      | Chi     |   1 |  11 | 11       |  11 |   0 |   0 |   1 |
| Parks        | NO      |   1 |   -7 | -7        |   0 |   0 |   0 |   1 | Hyatt       | StL     |   1 |  11 | 11       |  11 |   0 |   0 |   1 |
| Hawkins      | Phi     |   3 |   -8 | -2.66667  |   9 |   0 |   0 |   1 | Beasley     | SF      |   1 |   9 |  9       |   9 |   0 |   0 |   1 |
| Gilliam      | Min     |   2 |   -8 | -4        |   0 |   0 |   0 |   1 | Baynham     | StL     |   1 |   9 |  9       |   9 |   0 |   0 |   1 |
| Staggers     | GB      |   1 |   -8 | -8        |   0 |   0 |   0 |   1 | Alston      | Was     |   1 |   9 |  9       |   9 |   0 |   0 |   1 |
| Garrison     | SD      |   2 |  -10 | -5        |   0 |   0 |   0 |   1 | Jankowski   | KC      |   1 |   9 |  9       |   9 |   0 |   0 |   1 |
| Farmer       | Chi     |   2 |  -16 | -8        |  -7 |   0 |   0 |   1 | Stroud      | KC      |   1 |   8 |  8       |   8 |   0 |   0 |   1 |
| O'Brien      | Bal     |   3 |  -17 | -5.66667  |   0 |   0 |   0 |   1 | Lammons     | GB      |   1 |   8 |  8       |   8 |   0 |   0 |   1 |
| Namath       | NYJ     |   6 |  -18 | -3        |   0 |   0 |   0 |   1 | Koy         | Buf     |   1 |   6 |  6       |   6 |   0 |   0 |   1 |
| Baker        | Hou     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Bankston    | Pitt    |   1 |   5 |  5       |   5 |   0 |   0 |   1 |
| Bell         | Atl     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Zofko       | Det     |   1 |   4 |  4       |   4 |   0 |   1 |   1 |
| Bell         | NYJ     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Walik       | Phi     |   1 |   2 |  2       |   2 |   0 |   0 |   1 |
| Blanchard    | NYG     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Mosier      | Bal     |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Caster       | NYJ     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Belton      | Atl     |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Chester      | Oak     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Berry       | Atl     |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Glass        | GB      |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Lamb        | Atl     |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Harrison     | Den     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Snyder      | Atl     |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Huarte       | Chi     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Parsons     | Chi     |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Joiner       | Hou/Cin |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Harrison    | Den/Buf |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Krause       | Min     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Nitschke    | GB      |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Lindsey      | Min     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Highsmith   | Oak     |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Norman       | SD      |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Brown       | Pitt    |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Reed         | SF      |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Mullins     | Pitt    |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Studstill    | NE      |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Hadl        | SD      |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Sweet        | LA      |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Isenbarger  | SF      |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Voigt        | Min     |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Hayden      | StL     |   0 |   0 |  0       |   0 |   0 |   0 |   0 |
| Williams     | SD      |   0 |    0 |  0        |   0 |   0 |   0 |   0 | Shivers     | StL     |   0 |   0 |  0       |   0 |   0 |   0 |   0 |



labeled_formulas: R=(G*Q)+L
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_189173___xlsx_c840fa0b39d44d74a3ea6bdd5dcfb6db136e8511.xlsx___line_552