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 |
|:-------------|:------------------------------------------|:------|-------:|------:|-------:|------:|------:|-------:|------:|-------:|------:|------:|------:|---------:|----------:|---------:|---------:|---------:|-----------:|-----------:|----------:|
| Alamance     | Cardinal Innovations Healthcare Solutions | Urban | 154151 |  5331 |  29904 |  2392 |  5438 |  87069 | 24017 | 124803 | 0.088 | 0.213 | 0.176 |  469.128 |  2631.55  |  210.496 | 1158.29  | 1368.79  |  18545.7   |  19914.5   |  22546    |
| Alexander    | Smoky Mountain Center                     | Rural |  37209 |  1087 |   6852 |   465 |   878 |  21538 |  6389 |  29733 | 0.076 | 0.195 | 0.162 |   82.612 |   520.752 |   35.34  |  171.21  |  206.55  |   4199.91  |   4406.46  |   4927.21 |
| Alleghany    | Smoky Mountain Center                     | Rural |  10874 |   260 |   1775 |   132 |   260 |   5918 |  2529 |   8085 | 0.087 | 0.216 | 0.182 |   22.62  |   154.425 |   11.484 |   56.16  |   67.644 |   1278.29  |   1345.93  |   1500.36 |
| Anson        | Sandhills Center                          | Rural |  26635 |   803 |   4770 |   340 |   764 |  15836 |  4122 |  21710 | 0.085 | 0.231 | 0.192 |   68.255 |   405.45  |   28.9   |  176.484 |  205.384 |   3658.12  |   3863.5   |   4268.95 |
| Ashe         | Smoky Mountain Center                     | Rural |  27468 |   758 |   4489 |   279 |   553 |  15281 |  6108 |  20602 | 0.076 | 0.197 | 0.167 |   57.608 |   341.164 |   21.204 |  108.941 |  130.145 |   3010.36  |   3140.5   |   3481.67 |
| Avery        | Smoky Mountain Center                     | Rural |  17842 |   442 |   2459 |   196 |   451 |  10853 |  3441 |  13959 | 0.082 | 0.211 | 0.182 |   36.244 |   201.638 |   16.072 |   95.161 |  111.233 |   2289.98  |   2401.22  |   2602.85 |
| Beaufort     | East Carolina Behavioral Health           | Rural |  48010 |  1548 |   8751 |   554 |  1036 |  26140 |  9981 |  36481 | 0.085 | 0.203 | 0.17  |  131.58  |   743.835 |   47.09  |  210.308 |  257.398 |   5306.42  |   5563.82  |   6307.65 |
| Bertie       | East Carolina Behavioral Health           | Rural |  20450 |   586 |   3508 |   215 |   419 |  12042 |  3680 |  16184 | 0.087 | 0.248 | 0.206 |   50.982 |   305.196 |   18.705 |  103.912 |  122.617 |   2986.42  |   3109.03  |   3414.23 |
| Bladen       | Eastpointe                                | Rural |  35226 |  1078 |   6648 |   455 |   906 |  19979 |  6160 |  27988 | 0.086 | 0.212 | 0.177 |   92.708 |   571.728 |   39.13  |  192.072 |  231.202 |   4235.55  |   4466.75  |   5038.48 |
| Brunswick    | CoastalCare                               | Rural | 114882 |  3187 |  17605 |  1018 |  2076 |  61680 | 29316 |  82379 | 0.078 | 0.2   | 0.17  |  248.586 |  1373.19  |   79.404 |  415.2   |  494.604 |  12336     |  12830.6   |  14203.8  |
| Buncombe     | Smoky Mountain Center                     | Urban | 248578 |  7837 |  41423 |  2884 |  5859 | 147277 | 43298 | 197443 | 0.077 | 0.185 | 0.158 |  603.449 |  3189.57  |  222.068 | 1083.91  | 1305.98  |  27246.2   |  28552.2   |  31741.8  |
| Burke        | Partners Behavioral Health Management     | Rural |  89604 |  2609 |  16406 |  1702 |  2811 |  50316 | 15760 |  71235 | 0.08  | 0.187 | 0.156 |  208.72  |  1312.48  |  136.16  |  525.657 |  661.817 |   9409.09  |  10070.9   |  11383.4  |
| Cabarrus     | Cardinal Innovations Healthcare Solutions | Urban | 186531 |  7146 |  41700 |  2533 |  5009 | 107427 | 22716 | 156669 | 0.081 | 0.209 | 0.168 |  578.826 |  3377.7   |  205.173 | 1046.88  | 1252.05  |  22452.2   |  23704.3   |  27082    |
| Caldwell     | Smoky Mountain Center                     | Rural |  82362 |  2395 |  15188 |  1099 |  2348 |  47273 | 14059 |  65908 | 0.077 | 0.186 | 0.156 |  184.415 |  1169.48  |   84.623 |  436.728 |  521.351 |   8792.78  |   9314.13  |  10483.6  |
| Camden       | East Carolina Behavioral Health           | Rural |   9802 |   239 |   1944 |   141 |   251 |   5766 |  1461 |   8102 | 0.068 | 0.195 | 0.156 |   16.252 |   132.192 |    9.588 |   48.945 |   58.533 |   1124.37  |   1182.9   |   1315.1  |
| Carteret     | CoastalCare                               | Rural |  69138 |  1865 |  10642 |   790 |  1501 |  39709 | 14631 |  52642 | 0.074 | 0.188 | 0.161 |  138.01  |   787.508 |   58.46  |  282.188 |  340.648 |   7465.29  |   7805.94  |   8593.45 |
| Caswell      | Cardinal Innovations Healthcare Solutions | Rural |  23582 |   600 |   3906 |   257 |   558 |  14064 |  4197 |  18785 | 0.081 | 0.232 | 0.194 |   48.6   |   316.386 |   20.817 |  129.456 |  150.273 |   3262.85  |   3413.12  |   3729.51 |
| Catawba      | Partners Behavioral Health Management     | Urban | 156287 |  5438 |  30614 |  2126 |  4264 |  89481 | 24364 | 126485 | 0.079 | 0.175 | 0.147 |  429.602 |  2418.51  |  167.954 |  746.2   |  914.154 |  15659.2   |  16573.3   |  18991.8  |
| Chatham      | Cardinal Innovations Healthcare Solutions | Rural |  67857 |  1960 |  12024 |   721 |  1340 |  37438 | 14374 |  51523 | 0.089 | 0.225 | 0.188 |  174.44  |  1070.14  |   64.169 |  301.5   |  365.669 |   8423.55  |   8789.22  |   9859.35 |
| Cherokee     | Smoky Mountain Center                     | Rural |  26907 |   578 |   4311 |   301 |   543 |  14192 |  6982 |  19347 | 0.079 | 0.172 | 0.148 |   45.662 |   340.569 |   23.779 |   93.396 |  117.175 |   2441.02  |   2558.2   |   2898.77 |
| Chowan       | East Carolina Behavioral Health           | Rural |  14761 |   480 |   2699 |   206 |   323 |   7913 |  3140 |  11141 | 0.082 | 0.206 | 0.17  |   39.36  |   221.318 |   16.892 |   66.538 |   83.43  |   1630.08  |   1713.51  |   1934.83 |
| Clay         | Smoky Mountain Center                     | Rural |  10559 |   192 |   1649 |   103 |   202 |   5540 |  2873 |   7494 | 0.076 | 0.187 | 0.16  |   14.592 |   125.324 |    7.828 |   37.774 |   45.602 |   1035.98  |   1081.58  |   1206.91 |
| Cleveland    | Partners Behavioral Health Management     | Rural |  97280 |  3237 |  18607 |  1461 |  3026 |  54887 | 16062 |  77981 | 0.079 | 0.193 | 0.16  |  255.723 |  1469.95  |  115.419 |  584.018 |  699.437 |  10593.2   |  11292.6   |  12762.6  |
| Columbus     | Eastpointe                                | Rural |  57846 |  1874 |  11035 |   825 |  1439 |  32914 |  9759 |  46213 | 0.085 | 0.222 | 0.183 |  159.29  |   937.975 |   70.125 |  319.458 |  389.583 |   7306.91  |   7696.49  |   8634.47 |
| Craven       | East Carolina Behavioral Health           | Rural | 105373 |  4964 |  20610 |  1281 |  3518 |  57921 | 17079 |  83330 | 0.08  | 0.202 | 0.166 |  397.12  |  1648.8   |  102.48  |  710.636 |  813.116 |  11700     |  12513.2   |  14162    |
| Cumberland   | Alliance Behavioral Healthcare            | Urban | 334126 | 17307 |  72310 |  4499 | 11488 | 193622 | 34900 | 281919 | 0.086 | 0.228 | 0.184 | 1488.4   |  6218.66  |  386.914 | 2619.26  | 3006.18  |  44145.8   |  47152     |  53370.7  |
| Currituck    | East Carolina Behavioral Health           | Rural |  23550 |   580 |   4452 |   332 |   594 |  14112 |  3480 |  19490 | 0.07  | 0.198 | 0.162 |   40.6   |   311.64  |   23.24  |  117.612 |  140.852 |   2794.18  |   2935.03  |   3246.67 |
| Dare         | East Carolina Behavioral Health           | Rural |  35330 |  1131 |   5754 |   322 |   610 |  21296 |  6217 |  27982 | 0.078 | 0.182 | 0.157 |   88.218 |   448.812 |   25.116 |  111.02  |  136.136 |   3875.87  |   4012.01  |   4460.82 |
| Davidson     | Cardinal Innovations Healthcare Solutions | Urban | 164232 |  5240 |  32230 |  1962 |  3937 |  94775 | 26088 | 132904 | 0.078 | 0.205 | 0.169 |  408.72  |  2513.94  |  153.036 |  807.085 |  960.121 |  19428.9   |  20389     |  22902.9  |
| Davie        | CenterPoint Human Services                | Rural |  41453 |  1212 |   7889 |   598 |   923 |  23280 |  7551 |  32690 | 0.076 | 0.198 | 0.163 |   92.112 |   599.564 |   45.448 |  182.754 |  228.202 |   4609.44  |   4837.64  |   5437.21 |
| Duplin       | Eastpointe                                | Rural |  60760 |  2338 |  12680 |   775 |  1556 |  33788 |  9623 |  48799 | 0.1   | 0.267 | 0.216 |  233.8   |  1268     |   77.5   |  415.452 |  492.952 |   9021.4   |   9514.35  |  10782.3  |
| Durham       | Alliance Behavioral Healthcare            | Urban | 289042 | 13077 |  52749 |  4022 | 10179 | 178192 | 30823 | 245142 | 0.091 | 0.215 | 0.181 | 1190.01  |  4800.16  |  366.002 | 2188.49  | 2554.49  |  38311.3   |  40865.8   |  45665.9  |
| Edgecombe    | Eastpointe                                | Rural |  55840 |  2029 |  11150 |   819 |  1589 |  31312 |  8941 |  44870 | 0.088 | 0.222 | 0.182 |  178.552 |   981.2   |   72.072 |  352.758 |  424.83  |   6951.26  |   7376.09  |   8357.29 |
| Forsyth      | CenterPoint Human Services                | Urban | 361710 | 14048 |  72642 |  4680 |  9926 | 209721 | 50693 | 296969 | 0.089 | 0.203 | 0.169 | 1250.27  |  6465.14  |  416.52  | 2014.98  | 2431.5   |  42573.4   |  45004.9   |  51470    |
| Franklin     | Cardinal Innovations Healthcare Solutions | Rural |  62346 |  2052 |  12569 |   833 |  1544 |  36415 |  8933 |  51361 | 0.084 | 0.23  | 0.187 |  172.368 |  1055.8   |   69.972 |  355.12  |  425.092 |   8375.45  |   8800.54  |   9856.34 |
| Gaston       | Partners Behavioral Health Management     | Urban | 209652 |  7657 |  41169 |  2810 |  5589 | 122146 | 30281 | 171714 | 0.08  | 0.203 | 0.168 |  612.56  |  3293.52  |  224.8   | 1134.57  | 1359.37  |  24795.6   |  26155     |  29448.5  |
| Gates        | East Carolina Behavioral Health           | Rural |  11569 |   252 |   2111 |   162 |   391 |   6663 |  1990 |   9327 | 0.077 | 0.228 | 0.185 |   19.404 |   162.547 |   12.474 |   89.148 |  101.622 |   1519.16  |   1620.79  |   1783.33 |
| Graham       | Smoky Mountain Center                     | Rural |   8994 |   282 |   1616 |   110 |   209 |   4825 |  1952 |   6760 | 0.079 | 0.204 | 0.169 |   22.278 |   127.664 |    8.69  |   42.636 |   51.326 |    984.3   |   1035.63  |   1163.29 |
| Granville    | Cardinal Innovations Healthcare Solutions | Rural |  56845 |  1708 |  10303 |   699 |  1973 |  34094 |  8068 |  47069 | 0.084 | 0.205 | 0.173 |  143.472 |   865.452 |   58.716 |  404.465 |  463.181 |   6989.27  |   7452.45  |   8317.9  |
| Greene       | Eastpointe                                | Rural |  21296 |   679 |   4133 |   235 |   490 |  12812 |  2947 |  17670 | 0.097 | 0.27  | 0.223 |   65.863 |   400.901 |   22.795 |  132.3   |  155.095 |   3459.24  |   3614.34  |   4015.24 |
| Guilford     | Sandhills Center                          | Urban | 509388 | 18417 |  97026 |  8287 | 18972 | 298563 | 68123 | 422848 | 0.085 | 0.203 | 0.169 | 1565.45  |  8247.21  |  704.395 | 3851.32  | 4555.71  |  60608.3   |  65164     |  73411.2  |
| Halifax      | Cardinal Innovations Healthcare Solutions | Rural |  54064 |  1789 |  10106 |   667 |  1489 |  30561 |  9452 |  42823 | 0.086 | 0.23  | 0.189 |  153.854 |   869.116 |   57.362 |  342.47  |  399.832 |   7029.03  |   7428.86  |   8297.98 |
| Harnett      | Sandhills Center                          | Rural | 124118 |  5401 |  28679 |  1810 |  3674 |  70401 | 14153 | 104564 | 0.085 | 0.243 | 0.191 |  459.085 |  2437.72  |  153.85  |  892.782 | 1046.63  |  17107.4   |  18154.1   |  20591.8  |
| Haywood      | Smoky Mountain Center                     | Rural |  59765 |  1683 |   9527 |   699 |  1285 |  32796 | 13775 |  44307 | 0.074 | 0.18  | 0.153 |  124.542 |   704.998 |   51.726 |  231.3   |  283.026 |   5903.28  |   6186.31  |   6891.3  |
| Henderson    | Smoky Mountain Center                     | Rural | 108630 |  3269 |  18681 |  1101 |  1965 |  57436 | 26178 |  79183 | 0.082 | 0.2   | 0.168 |  268.058 |  1531.84  |   90.282 |  393     |  483.282 |  11487.2   |  11970.5   |  13502.3  |
| Hertford     | East Carolina Behavioral Health           | Rural |  24588 |   710 |   4241 |   529 |   844 |  14119 |  4145 |  19733 | 0.089 | 0.227 | 0.188 |   63.19  |   377.449 |   47.081 |  191.588 |  238.669 |   3205.01  |   3443.68  |   3821.13 |
| Hoke         | Sandhills Center                          | Rural |  50951 |  2928 |  12722 |   651 |  1287 |  29212 |  4151 |  43872 | 0.088 | 0.271 | 0.21  |  257.664 |  1119.54  |   57.288 |  348.777 |  406.065 |   7916.45  |   8322.52  |   9442.05 |
| Hyde         | East Carolina Behavioral Health           | Rural |   5769 |   154 |    858 |    43 |   133 |   3622 |   959 |   4656 | 0.085 | 0.246 | 0.209 |   13.09  |    72.93  |    3.655 |   32.718 |   36.373 |    891.012 |    927.385 |   1000.32 |
| Iredell      | Partners Behavioral Health Management     | Rural | 164883 |  5419 |  34134 |  2362 |  4394 |  95366 | 23208 | 136256 | 0.077 | 0.191 | 0.157 |  417.263 |  2628.32  |  181.874 |  839.254 | 1021.13  |  18214.9   |  19236     |  21864.4  |
| Jackson      | Smoky Mountain Center                     | Rural |  41111 |  1186 |   6053 |  1005 |  2890 |  22924 |  7053 |  32872 | 0.083 | 0.206 | 0.174 |   98.438 |   502.399 |   83.415 |  595.34  |  678.755 |   4722.34  |   5401.1   |   5903.5  |
| Johnston     | Alliance Behavioral Healthcare            | Rural | 177043 |  6937 |  40536 |  2632 |  4127 | 102258 | 20553 | 149553 | 0.085 | 0.233 | 0.185 |  589.645 |  3445.56  |  223.72  |  961.591 | 1185.31  |  23826.1   |  25011.4   |  28457    |
| Jones        | East Carolina Behavioral Health           | Rural |  10636 |   315 |   1890 |   105 |   240 |   6106 |  1980 |   8341 | 0.083 | 0.227 | 0.189 |   26.145 |   156.87  |    8.715 |   54.48  |   63.195 |   1386.06  |   1449.26  |   1606.13 |
| Lee          | Sandhills Center                          | Rural |  59857 |  2522 |  12613 |   807 |  1558 |  33498 |  8859 |  48476 | 0.094 | 0.222 | 0.182 |  237.068 |  1185.62  |   75.858 |  345.876 |  421.734 |   7436.56  |   7858.29  |   9043.91 |
| Lenoir       | Eastpointe                                | Rural |  59401 |  2023 |  11619 |   795 |  1639 |  33071 | 10254 |  47124 | 0.087 | 0.209 | 0.173 |  176.001 |  1010.85  |   69.165 |  342.551 |  411.716 |   6911.84  |   7323.56  |   8334.41 |
| Lincoln      | Partners Behavioral Health Management     | Rural |  79630 |  2376 |  15304 |  1067 |  1963 |  46825 | 12095 |  65159 | 0.076 | 0.203 | 0.168 |  180.576 |  1163.1   |   81.092 |  398.489 |  479.581 |   9505.48  |   9985.06  |  11148.2  |
| Macon        | Smoky Mountain Center                     | Rural |  34164 |  1000 |   5464 |   381 |   705 |  17714 |  8900 |  24264 | 0.081 | 0.195 | 0.164 |   81     |   442.584 |   30.861 |  137.475 |  168.336 |   3454.23  |   3622.57  |   4065.15 |
| Madison      | Smoky Mountain Center                     | Rural |  21472 |   561 |   3503 |   346 |   795 |  12072 |  4195 |  16716 | 0.075 | 0.192 | 0.161 |   42.075 |   262.725 |   25.95  |  152.64  |  178.59  |   2317.82  |   2496.41  |   2759.14 |
| Martin       | East Carolina Behavioral Health           | Rural |  23870 |   726 |   4318 |   262 |   562 |  13356 |  4646 |  18498 | 0.085 | 0.211 | 0.176 |   61.71  |   367.03  |   22.27  |  118.582 |  140.852 |   2818.12  |   2958.97  |   3326    |
| McDowell     | Smoky Mountain Center                     | Rural |  45359 |  1373 |   8159 |   559 |   990 |  26051 |  8227 |  35759 | 0.078 | 0.189 | 0.159 |  107.094 |   636.402 |   43.602 |  187.11  |  230.712 |   4923.64  |   5154.35  |   5790.75 |
| Mecklenburg  | MeckLINK Behavioral Healthcare            | Urban | 986516 | 42260 | 200637 | 12269 | 25325 | 609683 | 96342 | 847914 | 0.087 | 0.212 | 0.175 | 3676.62  | 17455.4   | 1067.4   | 5368.9   | 6436.3   | 129253     | 135689     | 153145    |
| Mitchell     | Smoky Mountain Center                     | Rural |  15365 |   427 |   2425 |   128 |   314 |   8624 |  3447 |  11491 | 0.076 | 0.187 | 0.159 |   32.452 |   184.3   |    9.728 |   58.718 |   68.446 |   1612.69  |   1681.13  |   1865.43 |
| Montgomery   | Sandhills Center                          | Rural |  28059 |   999 |   5487 |   409 |   819 |  15380 |  4965 |  22095 | 0.095 | 0.225 | 0.187 |   94.905 |   521.265 |   38.855 |  184.275 |  223.13  |   3460.5   |   3683.63  |   4204.9  |
| Moore        | Sandhills Center                          | Rural |  91879 |  2940 |  16513 |  1078 |  1925 |  47075 | 22348 |  66591 | 0.08  | 0.195 | 0.162 |  235.2   |  1321.04  |   86.24  |  375.375 |  461.615 |   9179.62  |   9641.24  |  10962.3  |
| Nash         | Eastpointe                                | Rural |  94722 |  3258 |  18360 |  1315 |  2351 |  54654 | 14784 |  76680 | 0.086 | 0.207 | 0.172 |  280.188 |  1578.96  |  113.09  |  486.657 |  599.747 |  11313.4   |  11913.1   |  13492.1  |
| New Hanover  | CoastalCare                               | Urban | 213785 |  6746 |  34620 |  3454 |  8188 | 128110 | 32667 | 174372 | 0.079 | 0.2   | 0.169 |  532.934 |  2734.98  |  272.866 | 1637.6   | 1910.47  |  25622     |  27532.5   |  30267.4  |
| Northampton  | East Carolina Behavioral Health           | Rural |  21348 |   580 |   3585 |   213 |   493 |  11920 |  4557 |  16211 | 0.086 | 0.231 | 0.192 |   49.88  |   308.31  |   18.318 |  113.883 |  132.201 |   2753.52  |   2885.72  |   3194.03 |
| Onslow       | CoastalCare                               | Rural | 194201 | 13088 |  39636 |  3137 | 11591 | 110790 | 15959 | 165154 | 0.08  | 0.24  | 0.192 | 1047.04  |  3170.88  |  250.96  | 2781.84  | 3032.8   |  26589.6   |  29622.4   |  32793.3  |
| Orange       | Cardinal Innovations Healthcare Solutions | Urban | 140723 |  3868 |  24611 |  3058 |  9109 |  84587 | 15490 | 121365 | 0.082 | 0.195 | 0.164 |  317.176 |  2018.1   |  250.756 | 1776.26  | 2027.01  |  16494.5   |  18521.5   |  20539.6  |
| Pamlico      | East Carolina Behavioral Health           | Rural |  13320 |   302 |   1949 |   124 |   218 |   7441 |  3286 |   9732 | 0.079 | 0.202 | 0.172 |   23.858 |   153.971 |    9.796 |   44.036 |   53.832 |   1503.08  |   1556.91  |   1710.89 |
| Pasquotank   | East Carolina Behavioral Health           | Rural |  39740 |  1386 |   7578 |   746 |  1568 |  22697 |  5765 |  32589 | 0.082 | 0.211 | 0.174 |  113.652 |   621.396 |   61.172 |  330.848 |  392.02  |   4789.07  |   5181.09  |   5802.48 |
| Pender       | CoastalCare                               | Rural |  55313 |  1825 |  10092 |   664 |  1422 |  32078 |  9232 |  44256 | 0.08  | 0.222 | 0.182 |  146     |   807.36  |   53.12  |  315.684 |  368.804 |   7121.32  |   7490.12  |   8297.48 |
| Perquimans   | East Carolina Behavioral Health           | Rural |  13771 |   382 |   2284 |   134 |   330 |   7302 |  3339 |  10050 | 0.077 | 0.215 | 0.178 |   29.414 |   175.868 |   10.318 |   70.95  |   81.268 |   1569.93  |   1651.2   |   1827.07 |
| Person       | Cardinal Innovations Healthcare Solutions | Rural |  39309 |  1233 |   7390 |   452 |   886 |  22799 |  6549 |  31527 | 0.079 | 0.207 | 0.171 |   97.407 |   583.81  |   35.708 |  183.402 |  219.11  |   4719.39  |   4938.5   |   5522.31 |
| Pitt         | East Carolina Behavioral Health           | Rural | 174501 |  6447 |  32215 |  3850 | 11148 | 101692 | 19149 | 148905 | 0.085 | 0.22  | 0.181 |  547.995 |  2738.28  |  327.25  | 2452.56  | 2779.81  |  22372.2   |  25152.1   |  27890.3  |
| Polk         | Smoky Mountain Center                     | Rural |  20077 |   384 |   3151 |   205 |   402 |  10633 |  5302 |  14391 | 0.08  | 0.186 | 0.159 |   30.72  |   252.08  |   16.4   |   74.772 |   91.172 |   1977.74  |   2068.91  |   2320.99 |
| Randolph     | Sandhills Center                          | Rural | 142646 |  4875 |  28657 |  1949 |  3998 |  80978 | 22189 | 115582 | 0.083 | 0.205 | 0.169 |  404.625 |  2378.53  |  161.767 |  819.59  |  981.357 |  16600.5   |  17581.8   |  19960.4  |
| Richmond     | Sandhills Center                          | Rural |  46253 |  1690 |   9365 |   681 |  1451 |  25905 |  7161 |  37402 | 0.086 | 0.228 | 0.186 |  145.34  |   805.39  |   58.566 |  330.828 |  389.394 |   5906.34  |   6295.73  |   7101.12 |
| Robeson      | Eastpointe                                | Rural | 134553 |  5555 |  29084 |  2413 |  4983 |  75522 | 16996 | 112002 | 0.098 | 0.254 | 0.203 |  544.39  |  2850.23  |  236.474 | 1265.68  | 1502.16  |  19182.6   |  20684.7   |  23535    |
| Rockingham   | CenterPoint Human Services                | Rural |  92494 |  2761 |  16778 |  1178 |  2274 |  53113 | 16390 |  73343 | 0.08  | 0.203 | 0.17  |  220.88  |  1342.24  |   94.24  |  461.622 |  555.862 |  10781.9   |  11337.8   |  12680    |
| Rowan        | Cardinal Innovations Healthcare Solutions | Urban | 138251 |  4650 |  27084 |  1853 |  3922 |  79282 | 21460 | 112141 | 0.082 | 0.208 | 0.172 |  381.3   |  2220.89  |  151.946 |  815.776 |  967.722 |  16490.7   |  17458.4   |  19679.3  |
| Rutherford   | Smoky Mountain Center                     | Rural |  68892 |  2118 |  12643 |   924 |  1555 |  38547 | 13105 |  53669 | 0.079 | 0.202 | 0.168 |  167.322 |   998.797 |   72.996 |  314.11  |  387.106 |   7786.49  |   8173.6   |   9172.4  |
| Sampson      | Eastpointe                                | Rural |  64673 |  2542 |  13583 |   896 |  1870 |  35806 |  9976 |  52155 | 0.096 | 0.26  | 0.21  |  244.032 |  1303.97  |   86.016 |  486.2   |  572.216 |   9309.56  |   9881.78  |  11185.7  |
| Scotland     | Eastpointe                                | Rural |  36192 |  1376 |   7404 |   500 |   990 |  20495 |  5427 |  29389 | 0.085 | 0.217 | 0.177 |  116.96  |   629.34  |   42.5   |  214.83  |  257.33  |   4447.41  |   4704.74  |   5334.09 |
| Stanly       | Cardinal Innovations Healthcare Solutions | Rural |  60403 |  1925 |  11202 |   815 |  1646 |  34578 | 10237 |  48241 | 0.075 | 0.189 | 0.156 |  144.375 |   840.15  |   61.125 |  311.094 |  372.219 |   6535.24  |   6907.46  |   7747.61 |
| Stokes       | CenterPoint Human Services                | Rural |  46859 |  1244 |   8358 |   521 |  1085 |  27325 |  8326 |  37289 | 0.071 | 0.2   | 0.165 |   88.324 |   593.418 |   36.991 |  217     |  253.991 |   5465     |   5718.99  |   6312.41 |
| Surry        | Partners Behavioral Health Management     | Rural |  73898 |  2367 |  14173 |  1045 |  2053 |  41049 | 13211 |  58320 | 0.084 | 0.197 | 0.165 |  198.828 |  1190.53  |   87.78  |  404.441 |  492.221 |   8086.65  |   8578.87  |   9769.41 |
| Swain        | Smoky Mountain Center                     | Rural |  14652 |   599 |   2829 |   172 |   326 |   8129 |  2597 |  11456 | 0.094 | 0.218 | 0.181 |   56.306 |   265.926 |   16.168 |   71.068 |   87.236 |   1772.12  |   1859.36  |   2125.28 |
| Transylvania | Smoky Mountain Center                     | Rural |  32971 |   794 |   4881 |   429 |   795 |  16724 |  9348 |  22829 | 0.077 | 0.185 | 0.157 |   61.138 |   375.837 |   33.033 |  147.075 |  180.108 |   3093.94  |   3274.05  |   3649.89 |
| Tyrrell      | East Carolina Behavioral Health           | Rural |   4157 |   126 |    609 |    32 |    91 |   2534 |   765 |   3266 | 0.09  | 0.266 | 0.225 |   11.34  |    54.81  |    2.88  |   24.206 |   27.086 |    674.044 |    701.13  |    755.94 |
| Union        | Cardinal Innovations Healthcare Solutions | Rural | 210410 |  7574 |  51984 |  3492 |  5268 | 119020 | 23072 | 179764 | 0.077 | 0.213 | 0.166 |  583.198 |  4002.77  |  268.884 | 1122.08  | 1390.97  |  25351.3   |  26742.2   |  30745    |
| Vance        | Cardinal Innovations Healthcare Solutions | Rural |  45565 |  1761 |   9354 |   604 |  1419 |  25321 |  7106 |  36698 | 0.091 | 0.232 | 0.188 |  160.251 |   851.214 |   54.964 |  329.208 |  384.172 |   5874.47  |   6258.64  |   7109.86 |
| Wake         | Alliance Behavioral Healthcare            | Urban | 966424 | 38262 | 205774 | 12977 | 25467 | 590105 | 93839 | 834323 | 0.081 | 0.197 | 0.162 | 3099.22  | 16667.7   | 1051.14  | 5017     | 6068.14  | 116251     | 122319     | 138987    |
| Warren       | Cardinal Innovations Healthcare Solutions | Rural |  20668 |   544 |   3400 |   231 |   460 |  11674 |  4359 |  15765 | 0.089 | 0.252 | 0.209 |   48.416 |   302.6   |   20.559 |  115.92  |  136.479 |   2941.85  |   3078.33  |   3380.93 |
| Washington   | East Carolina Behavioral Health           | Rural |  12914 |   403 |   2461 |   124 |   274 |   7060 |  2592 |   9919 | 0.088 | 0.221 | 0.183 |   35.464 |   216.568 |   10.912 |   60.554 |   71.466 |   1560.26  |   1631.73  |   1848.29 |
| Watauga      | Smoky Mountain Center                     | Rural |  52953 |  1055 |   5933 |  1798 |  6765 |  30052 |  7350 |  44548 | 0.081 | 0.218 | 0.186 |   85.455 |   480.573 |  145.638 | 1474.77  | 1620.41  |   6551.34  |   8171.74  |   8652.32 |
| Wayne        | Eastpointe                                | Rural | 126287 |  5187 |  25668 |  1686 |  3586 |  72406 | 17754 | 103346 | 0.088 | 0.226 | 0.185 |  456.456 |  2258.78  |  148.368 |  810.436 |  958.804 |  16363.8   |  17322.6   |  19581.3  |
| Wilkes       | Smoky Mountain Center                     | Rural |  70076 |  2076 |  12920 |   877 |  1602 |  39428 | 13173 |  54827 | 0.077 | 0.192 | 0.16  |  159.852 |   994.84  |   67.529 |  307.584 |  375.113 |   7570.18  |   7945.29  |   8940.13 |
| Wilson       | Eastpointe                                | Rural |  82433 |  2969 |  16677 |  1060 |  2150 |  46744 | 12833 |  66631 | 0.09  | 0.221 | 0.181 |  267.21  |  1500.93  |   95.4   |  475.15  |  570.55  |  10330.4   |  10901     |  12401.9  |
| Yadkin       | Partners Behavioral Health Management     | Rural |  38160 |  1234 |   7236 |   470 |   986 |  21525 |  6709 |  30217 | 0.083 | 0.209 | 0.173 |  102.422 |   600.588 |   39.01  |  206.074 |  245.084 |   4498.73  |   4743.81  |   5344.4  |
| Yancey       | Smoky Mountain Center                     | Rural |  17877 |   521 |   2916 |   172 |   388 |   9880 |  4000 |  13356 | 0.079 | 0.199 | 0.168 |   41.159 |   230.364 |   13.588 |   77.212 |   90.8   |   1966.12  |   2056.92  |   2287.28 |



label: O=L*E
P=L*F
Q=L*G
R=M*H
T=M*I
labeled_formulas: O=L*E
P=L*F
Q=L*G
R=M*H
T=M*I
output: {"Arithmetic-Relationship": ["O=L*E", "P=L*F", "Q=L*G", "R=M*H", "T=M*I"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_360273___xlsx_ec42d50bfc7e65724395db0201f7d1ee801af4f4.xlsx___line_904