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 |
|:-------------|:------------------------------------------|:------|--------:|------:|-------:|------:|-------:|-------:|-------:|------:|------:|------:|---------:|----------:|---------:|-----------:|-----------:|-----------:|
| Alamance     | Cardinal Innovations Healthcare Solutions | Urban |  159522 |  5298 |  30153 |  7992 |  89836 |  26243 | 127981 | 0.056 | 0.208 | 0.165 |  296.688 |  1688.57  | 1662.34  |  18685.9   |  20348.2   |  21116.9   |
| Alexander    | Vaya Health                               | Urban |   38715 |  1106 |   6851 |  1331 |  22107 |   7320 |  30289 | 0.055 | 0.202 | 0.162 |   60.83  |   376.805 |  268.862 |   4465.61  |   4734.48  |   4906.82  |
| Alleghany    | Vaya Health                               | Rural |   11219 |   285 |   1717 |   380 |   6057 |   2780 |   8154 | 0.102 | 0.244 | 0.21  |   29.07  |   175.134 |   92.72  |   1477.91  |   1570.63  |   1712.34  |
| Anson        | Sandhills Center                          | Rural |   26466 |   739 |   4622 |   917 |  15743 |   4445 |  21282 | 0.055 | 0.208 | 0.167 |   40.645 |   254.21  |  190.736 |   3274.54  |   3465.28  |   3554.09  |
| Ashe         | Vaya Health                               | Rural |   27507 |   726 |   4359 |   884 |  14985 |   6553 |  20228 | 0.078 | 0.237 | 0.198 |   56.628 |   340.002 |  209.508 |   3551.45  |   3760.95  |   4005.14  |
| Avery        | Vaya Health                               | Rural |   17903 |   418 |   2375 |   629 |  10754 |   3727 |  13758 | 0.083 | 0.245 | 0.207 |   34.694 |   197.125 |  154.105 |   2634.73  |   2788.84  |   2847.91  |
| Beaufort     | Trillium Health Resources                 | Rural |   47717 |  1394 |   8509 |  1530 |  25311 |  10973 |  35350 | 0.067 | 0.189 | 0.156 |   93.398 |   570.103 |  289.17  |   4783.78  |   5072.95  |   5514.6   |
| Bertie       | Trillium Health Resources                 | Rural |   20100 |   555 |   3320 |   748 |  11618 |   3859 |  15686 | 0.047 | 0.176 | 0.144 |   26.085 |   156.04  |  131.648 |   2044.77  |   2176.42  |   2258.78  |
| Bladen       | Eastpointe                                | Rural |   35194 |  1079 |   6357 |  1307 |  19687 |   6764 |  27351 | 0.067 | 0.23  | 0.186 |   72.293 |   425.919 |  300.61  |   4528.01  |   4828.62  |   5087.29  |
| Brunswick    | Trillium Health Resources                 | Urban |  124668 |  3246 |  18450 |  3137 |  64748 |  35087 |  86335 | 0.063 | 0.208 | 0.174 |  204.498 |  1162.35  |  652.496 |  13467.6   |  14120.1   |  15022.3   |
| Buncombe     | Vaya Health                               | Urban |  257413 |  7813 |  42095 |  8433 | 150584 |  48488 | 201112 | 0.054 | 0.181 | 0.15  |  421.902 |  2273.13  | 1526.37  |  27255.7   |  28782.1   |  30166.8   |
| Burke        | Partners Behavioral Health Management     | Urban |   89198 |  2546 |  15622 |  4362 |  49671 |  16997 |  69655 | 0.056 | 0.21  | 0.172 |  142.576 |   874.832 |  916.02  |  10430.9   |  11346.9   |  11980.7   |
| Cabarrus     | Cardinal Innovations Healthcare Solutions | Urban |  200827 |  7258 |  43534 |  7828 | 116422 |  25785 | 167784 | 0.052 | 0.17  | 0.134 |  377.416 |  2263.77  | 1330.76  |  19791.7   |  21122.5   |  22483.1   |
| Caldwell     | Vaya Health                               | Urban |   82350 |  2388 |  14439 |  3308 |  47100 |  15115 |  64847 | 0.047 | 0.212 | 0.17  |  112.236 |   678.633 |  701.296 |   9985.2   |  10686.5   |  11024     |
| Camden       | Trillium Health Resources                 | Rural |   10431 |   306 |   1928 |   377 |   6184 |   1636 |   8489 | 0.067 | 0.16  | 0.133 |   20.502 |   129.176 |   60.32  |    989.44  |   1049.76  |   1129.04  |
| Carteret     | Trillium Health Resources                 | Rural |   69706 |  1829 |  10480 |  2151 |  39046 |  16200 |  51677 | 0.06  | 0.195 | 0.163 |  109.74  |   628.8   |  419.445 |   7613.97  |   8033.41  |   8423.35  |
| Caswell      | Cardinal Innovations Healthcare Solutions | Rural |   23627 |   634 |   3717 |   732 |  13993 |   4551 |  18442 | 0.056 | 0.193 | 0.158 |   35.504 |   208.152 |  141.276 |   2700.65  |   2841.93  |   2913.84  |
| Catawba      | Partners Behavioral Health Management     | Urban |  156532 |  5196 |  29869 |  6155 |  89102 |  26210 | 125126 | 0.056 | 0.192 | 0.154 |  290.976 |  1672.66  | 1181.76  |  17107.6   |  18289.3   |  19269.4   |
| Chatham      | Cardinal Innovations Healthcare Solutions | Urban |   70981 |  1914 |  11983 |  2087 |  38235 |  16762 |  52305 | 0.071 | 0.189 | 0.157 |  135.894 |   850.793 |  394.443 |   7226.41  |   7620.86  |   8211.89  |
| Cherokee     | Vaya Health                               | Rural |   27524 |   693 |   4186 |   827 |  14125 |   7693 |  19138 | 0.077 | 0.23  | 0.192 |   53.361 |   322.322 |  190.21  |   3248.75  |   3438.96  |   3674.5   |
| Chowan       | Trillium Health Resources                 | Rural |   14669 |   439 |   2615 |   496 |   7771 |   3348 |  10882 | 0.067 | 0.2   | 0.163 |   29.413 |   175.205 |   99.2   |   1554.2   |   1653.4   |   1773.77  |
| Clay         | Vaya Health                               | Rural |   10855 |   265 |   1607 |   336 |   5507 |   3140 |   7450 | 0.091 | 0.223 | 0.19  |   24.115 |   146.237 |   74.928 |   1228.06  |   1302.99  |   1415.5   |
| Cleveland    | Partners Behavioral Health Management     | Rural |   98532 |  3120 |  18187 |  4337 |  55443 |  17445 |  77967 | 0.046 | 0.177 | 0.141 |  143.52  |   836.602 |  767.649 |   9813.41  |  10581.1   |  10993.3   |
| Columbus     | Eastpointe                                | Rural |   57579 |  1822 |  10569 |  2236 |  32588 |  10364 |  45393 | 0.064 | 0.228 | 0.182 |  116.608 |   676.416 |  509.808 |   7430.06  |   7939.87  |   8261.53  |
| Craven       | Trillium Health Resources                 | Urban |  105773 |  4511 |  21922 |  4707 |  56850 |  17783 |  83479 | 0.05  | 0.183 | 0.145 |  225.55  |  1096.1   |  861.381 |  10403.5   |  11264.9   |  12104.5   |
| Cumberland   | Alliance Behavioral Healthcare            | Urban |  333073 | 16245 |  72833 | 15431 | 189745 |  38819 | 278009 | 0.049 | 0.17  | 0.134 |  796.005 |  3568.82  | 2623.27  |  32256.7   |  34879.9   |  37253.2   |
| Currituck    | Trillium Health Resources                 | Urban |   26160 |   808 |   4729 |   934 |  15707 |   3982 |  21370 | 0.065 | 0.181 | 0.15  |   52.52  |   307.385 |  169.054 |   2842.97  |   3012.02  |   3205.5   |
| Dare         | Trillium Health Resources                 | Rural |   35727 |  1107 |   5767 |   901 |  20831 |   7121 |  27499 | 0.076 | 0.203 | 0.172 |   84.132 |   438.292 |  182.903 |   4228.69  |   4411.6   |   4729.83  |
| Davidson     | Cardinal Innovations Healthcare Solutions | Urban |  165399 |  5302 |  30961 |  5840 |  95081 |  28215 | 131882 | 0.047 | 0.197 | 0.155 |  249.194 |  1455.17  | 1150.48  |  18731     |  19881.4   |  20441.7   |
| Davie        | Cardinal Innovations Healthcare Solutions | Urban |   41474 |  1183 |   7370 |  1489 |  23338 |   8094 |  32197 | 0.07  | 0.172 | 0.144 |   82.81  |   515.9   |  256.108 |   4014.14  |   4270.24  |   4636.37  |
| Duplin       | Eastpointe                                | Rural |   60763 |  2254 |  12409 |  2440 |  33410 |  10250 |  48259 | 0.085 | 0.293 | 0.232 |  191.59  |  1054.77  |  714.92  |   9789.13  |  10504     |  11196.1   |
| Durham       | Alliance Behavioral Healthcare            | Urban |  303416 | 13005 |  57593 | 14181 | 183145 |  35492 | 254919 | 0.049 | 0.186 | 0.151 |  637.245 |  2822.06  | 2637.67  |  34065     |  36702.6   |  38492.8   |
| Edgecombe    | Eastpointe                                | Urban |   55303 |  1793 |  10895 |  2105 |  30716 |   9794 |  43716 | 0.039 | 0.187 | 0.145 |   69.927 |   424.905 |  393.635 |   5743.89  |   6137.53  |   6338.82  |
| Forsyth      | Cardinal Innovations Healthcare Solutions | Urban |  371646 | 13579 |  73737 | 15578 | 213147 |  55605 | 302462 | 0.047 | 0.196 | 0.153 |  638.213 |  3465.64  | 3053.29  |  41776.8   |  44830.1   |  46276.7   |
| Franklin     | Cardinal Innovations Healthcare Solutions | Urban |   64436 |  2037 |  12349 |  2510 |  37298 |  10242 |  52157 | 0.064 | 0.219 | 0.175 |  130.368 |   790.336 |  549.69  |   8168.26  |   8717.95  |   9127.48  |
| Gaston       | Partners Behavioral Health Management     | Urban |  213325 |  7373 |  41293 |  8262 | 123427 |  32970 | 172982 | 0.052 | 0.198 | 0.158 |  383.396 |  2147.24  | 1635.88  |  24438.5   |  26074.4   |  27331.2   |
| Gates        | Trillium Health Resources                 | Urban |   11914 |   326 |   2039 |   456 |   6925 |   2168 |   9420 | 0.062 | 0.172 | 0.143 |   20.212 |   126.418 |   78.432 |   1191.1   |   1269.53  |   1347.06  |
| Graham       | Vaya Health                               | Rural |    8969 |   279 |   1601 |   316 |   4700 |   2073 |   6617 | 0.072 | 0.234 | 0.19  |   20.088 |   115.272 |   73.944 |   1099.8   |   1173.74  |   1257.23  |
| Granville    | Cardinal Innovations Healthcare Solutions | Rural |   58471 |  1633 |  10097 |  2551 |  34948 |   9242 |  47596 | 0.058 | 0.178 | 0.146 |   94.714 |   585.626 |  454.078 |   6220.74  |   6674.82  |   6949.02  |
| Greene       | Eastpointe                                | Rural |   21310 |   637 |   3997 |   746 |  12703 |   3227 |  17446 | 0.077 | 0.251 | 0.201 |   49.049 |   307.769 |  187.246 |   3188.45  |   3375.7   |   3506.65  |
| Guilford     | Sandhills Center                          | Urban |  520398 | 17863 |  97307 | 26867 | 303029 |  75332 | 427203 | 0.056 | 0.183 | 0.148 | 1000.33  |  5449.19  | 4916.66  |  55454.3   |  60371     |  63226     |
| Halifax      | Cardinal Innovations Healthcare Solutions | Rural |   52567 |  1685 |   9636 |  1760 |  29469 |  10017 |  40865 | 0.05  | 0.194 | 0.155 |   84.25  |   481.8   |  341.44  |   5716.99  |   6058.43  |   6334.07  |
| Harnett      | Sandhills Center                          | Rural |  130243 |  5649 |  29899 |  5928 |  72931 |  15836 | 108758 | 0.052 | 0.203 | 0.155 |  293.748 |  1554.75  | 1203.38  |  14805     |  16008.4   |  16857.5   |
| Haywood      | Vaya Health                               | Urban |   60436 |  1694 |   9359 |  1882 |  32659 |  14842 |  43900 | 0.055 | 0.184 | 0.153 |   93.17  |   514.745 |  346.288 |   6009.26  |   6355.54  |   6716.7   |
| Henderson    | Vaya Health                               | Urban |  113314 |  3288 |  18744 |  3295 |  58964 |  29023 |  81003 | 0.064 | 0.209 | 0.171 |  210.432 |  1199.62  |  688.655 |  12323.5   |  13012.1   |  13851.5   |
| Hertford     | Trillium Health Resources                 | Rural |   24423 |   672 |   4142 |  1237 |  13931 |   4441 |  19310 | 0.051 | 0.194 | 0.156 |   34.272 |   211.242 |  239.978 |   2702.61  |   2942.59  |   3012.36  |
| Hoke         | Sandhills Center                          | Urban |   52400 |  2719 |  13514 |  2112 |  29339 |   4716 |  44965 | 0.063 | 0.219 | 0.17  |  171.297 |   851.382 |  462.528 |   6425.24  |   6887.77  |   7644.05  |
| Hyde         | Trillium Health Resources                 | Rural |    5720 |   136 |    841 |   188 |   3506 |   1049 |   4535 | 0.088 | 0.204 | 0.174 |   11.968 |    74.008 |   38.352 |    715.224 |    753.576 |    789.09  |
| Iredell      | Partners Behavioral Health Management     | Urban |  171400 |  5467 |  33440 |  6827 |  99775 |  25891 | 140042 | 0.059 | 0.182 | 0.147 |  322.553 |  1972.96  | 1242.51  |  18159     |  19401.6   |  20586.2   |
| Jackson      | Vaya Health                               | Rural |   41516 |  1153 |   6147 |  3891 |  22534 |   7791 |  32572 | 0.081 | 0.239 | 0.202 |   93.393 |   497.907 |  929.949 |   5385.63  |   6315.57  |   6579.54  |
| Johnston     | Alliance Behavioral Healthcare            | Urban |  186764 |  6930 |  41058 |  7294 | 107759 |  23723 | 156111 | 0.063 | 0.203 | 0.16  |  436.59  |  2586.65  | 1480.68  |  21875.1   |  23355.8   |  24977.8   |
| Jones        | Trillium Health Resources                 | Urban |   10518 |   326 |   1789 |   309 |   6024 |   2070 |   8122 | 0.074 | 0.202 | 0.17  |   24.124 |   132.386 |   62.418 |   1216.85  |   1279.27  |   1380.74  |
| Lee          | Sandhills Center                          | Rural |   59211 |  2363 |  12543 |  2307 |  32698 |   9300 |  47548 | 0.064 | 0.223 | 0.175 |  151.232 |   802.752 |  514.461 |   7291.65  |   7806.11  |   8320.9   |
| Lenoir       | Eastpointe                                | Rural |   58732 |  1990 |  11190 |  2137 |  32591 |  10824 |  45918 | 0.052 | 0.198 | 0.158 |  103.48  |   581.88  |  423.126 |   6453.02  |   6876.14  |   7255.04  |
| Lincoln      | Partners Behavioral Health Management     | Urban |   81417 |  2404 |  14718 |  3006 |  47673 |  13616 |  65397 | 0.061 | 0.186 | 0.153 |  146.644 |   897.798 |  559.116 |   8867.18  |   9426.29  |  10005.7   |
| Macon        | Vaya Health                               | Rural |   35279 |  1034 |   5535 |  1162 |  17852 |   9696 |  24549 | 0.096 | 0.247 | 0.208 |   99.264 |   531.36  |  287.014 |   4409.44  |   4696.46  |   5106.19  |
| Madison      | Vaya Health                               | Urban |   21875 |   568 |   3392 |  1247 |  12014 |   4654 |  16653 | 0.056 | 0.185 | 0.152 |   31.808 |   189.952 |  230.695 |   2222.59  |   2453.29  |   2531.26  |
| Martin       | Trillium Health Resources                 | Rural |   23494 |   732 |   4151 |   693 |  12962 |   4956 |  17806 | 0.055 | 0.185 | 0.151 |   40.26  |   228.305 |  128.205 |   2397.97  |   2526.18  |   2688.71  |
| McDowell     | Vaya Health                               | Rural |   45437 |  1331 |   7925 |  1557 |  25784 |   8840 |  35266 | 0.053 | 0.191 | 0.155 |   70.543 |   420.025 |  297.387 |   4924.74  |   5222.13  |   5466.23  |
| Mecklenburg  | Cardinal Innovations Healthcare Solutions | Urban | 1054561 | 42441 | 211891 | 36404 | 651596 | 112229 | 899891 | 0.052 | 0.187 | 0.149 | 2206.93  | 11018.3   | 6807.55  | 121848     | 128656     | 134084     |
| Mitchell     | Vaya Health                               | Rural |   15894 |   459 |   2443 |   385 |   8944 |   3663 |  11772 | 0.067 | 0.192 | 0.161 |   30.753 |   163.681 |   73.92  |   1717.25  |   1791.17  |   1895.29  |
| Montgomery   | Sandhills Center                          | Rural |   27864 |   917 |   5322 |  1103 |  15118 |   5404 |  21543 | 0.076 | 0.252 | 0.201 |   69.692 |   404.472 |  277.956 |   3809.74  |   4087.69  |   4330.14  |
| Moore        | Sandhills Center                          | Rural |   95327 |  3056 |  16749 |  3102 |  48149 |  24271 |  68000 | 0.062 | 0.184 | 0.15  |  189.472 |  1038.44  |  570.768 |   8859.42  |   9430.18  |  10200     |
| Nash         | Eastpointe                                | Urban |   94140 |  3087 |  17436 |  3480 |  53723 |  16414 |  74639 | 0.053 | 0.193 | 0.154 |  163.611 |   924.108 |  671.64  |  10368.5   |  11040.2   |  11494.4   |
| New Hanover  | Trillium Health Resources                 | Urban |  223260 |  6757 |  35610 | 11703 | 132527 |  36663 | 179840 | 0.054 | 0.174 | 0.145 |  364.878 |  1922.94  | 2036.32  |  23059.7   |  25096     |  26076.8   |
| Northampton  | Trillium Health Resources                 | Rural |   20960 |   550 |   3402 |   548 |  11736 |   4724 |  15686 | 0.051 | 0.179 | 0.147 |   28.05  |   173.502 |   98.092 |   2100.74  |   2198.84  |   2305.84  |
| Onslow       | Trillium Health Resources                 | Urban |  195835 | 12364 |  44167 | 14655 | 107185 |  17464 | 166007 | 0.04  | 0.147 | 0.115 |  494.56  |  1766.68  | 2154.28  |  15756.2   |  17910.5   |  19090.8   |
| Orange       | Cardinal Innovations Healthcare Solutions | Urban |  143264 |  3669 |  23711 | 12214 |  85462 |  18208 | 121387 | 0.057 | 0.144 | 0.121 |  209.133 |  1351.53  | 1758.82  |  12306.5   |  14065.3   |  14687.8   |
| Pamlico      | Trillium Health Resources                 | Urban |   13184 |   296 |   1815 |   330 |   7137 |   3606 |   9282 | 0.09  | 0.185 | 0.162 |   26.64  |   163.35  |   61.05  |   1320.35  |   1381.39  |   1503.68  |
| Pasquotank   | Trillium Health Resources                 | Rural |   40112 |  1457 |   7706 |  2255 |  22627 |   6067 |  32588 | 0.05  | 0.196 | 0.156 |   72.85  |   385.3   |  441.98  |   4434.89  |   4876.87  |   5083.73  |
| Pender       | Trillium Health Resources                 | Urban |   58815 |  1859 |  10415 |  2231 |  33966 |  10344 |  46612 | 0.066 | 0.2   | 0.163 |  122.694 |   687.39  |  446.2   |   6793.2   |   7239.4   |   7597.76  |
| Perquimans   | Trillium Health Resources                 | Rural |   13539 |   400 |   2198 |   379 |   7030 |   3532 |   9607 | 0.061 | 0.189 | 0.154 |   24.4   |   134.078 |   71.631 |   1328.67  |   1400.3   |   1479.48  |
| Person       | Cardinal Innovations Healthcare Solutions | Urban |   39383 |  1313 |   7066 |  1247 |  22607 |   7150 |  30920 | 0.056 | 0.179 | 0.146 |   73.528 |   395.696 |  223.213 |   4046.65  |   4269.87  |   4514.32  |
| Pitt         | Trillium Health Resources                 | Urban |  176269 |  6070 |  32557 | 14834 | 101432 |  21376 | 148823 | 0.05  | 0.177 | 0.144 |  303.5   |  1627.85  | 2625.62  |  17953.5   |  20579.1   |  21430.5   |
| Polk         | Vaya Health                               | Rural |   20955 |   481 |   3035 |   599 |  10950 |   5890 |  14584 | 0.088 | 0.206 | 0.177 |   42.328 |   267.08  |  123.394 |   2255.7   |   2379.09  |   2581.37  |
| Randolph     | Sandhills Center                          | Urban |  144254 |  4746 |  27809 |  5902 |  81739 |  24058 | 115450 | 0.069 | 0.21  | 0.17  |  327.474 |  1918.82  | 1239.42  |  17165.2   |  18404.6   |  19626.5   |
| Richmond     | Sandhills Center                          | Rural |   45484 |  1519 |   8922 |  2200 |  25186 |   7657 |  36308 | 0.053 | 0.227 | 0.177 |   80.507 |   472.866 |  499.4   |   5717.22  |   6216.62  |   6426.52  |
| Robeson      | Eastpointe                                | Rural |  132948 |  5208 |  27729 |  7716 |  73656 |  18639 | 109101 | 0.065 | 0.283 | 0.217 |  338.52  |  1802.38  | 2183.63  |  20844.6   |  23028.3   |  23674.9   |
| Rockingham   | Cardinal Innovations Healthcare Solutions | Urban |   92543 |  2895 |  16221 |  3120 |  52852 |  17455 |  72193 | 0.054 | 0.184 | 0.15  |  156.33  |   875.934 |  574.08  |   9724.77  |  10298.8   |  10829     |
| Rowan        | Cardinal Innovations Healthcare Solutions | Urban |  138710 |  4495 |  26517 |  5653 |  79228 |  22817 | 111398 | 0.059 | 0.212 | 0.169 |  265.205 |  1564.5   | 1198.44  |  16796.3   |  17994.8   |  18826.3   |
| Rutherford   | Vaya Health                               | Rural |   67359 |  2125 |  11996 |  2360 |  37358 |  13520 |  51714 | 0.054 | 0.192 | 0.155 |  114.75  |   647.784 |  453.12  |   7172.74  |   7625.86  |   8015.67  |
| Sampson      | Eastpointe                                | Rural |   64633 |  2448 |  13454 |  2642 |  35379 |  10710 |  51475 | 0.07  | 0.259 | 0.203 |  171.36  |   941.78  |  684.278 |   9163.16  |   9847.44  |  10449.4   |
| Scotland     | Eastpointe                                | Rural |   35536 |  1309 |   7056 |  1396 |  19777 |   5998 |  28229 | 0.05  | 0.212 | 0.163 |   65.45  |   352.8   |  295.952 |   4192.72  |   4488.68  |   4601.33  |
| Stanly       | Cardinal Innovations Healthcare Solutions | Rural |   61506 |  1986 |  11069 |  2303 |  35016 |  11132 |  48388 | 0.053 | 0.183 | 0.147 |  105.258 |   586.657 |  421.449 |   6407.93  |   6829.38  |   7113.04  |
| Stokes       | Cardinal Innovations Healthcare Solutions | Urban |   46786 |  1275 |   7657 |  1542 |  27381 |   8931 |  36580 | 0.051 | 0.177 | 0.145 |   65.025 |   390.507 |  272.934 |   4846.44  |   5119.37  |   5304.1   |
| Surry        | Partners Behavioral Health Management     | Rural |   73834 |  2245 |  13523 |  3080 |  40987 |  13999 |  57590 | 0.072 | 0.229 | 0.186 |  161.64  |   973.656 |  705.32  |   9386.02  |  10091.3   |  10711.7   |
| Swain        | Vaya Health                               | Rural |   15142 |   638 |   2906 |   515 |   8254 |   2829 |  11675 | 0.087 | 0.253 | 0.207 |   55.506 |   252.822 |  130.295 |   2088.26  |   2218.56  |   2416.72  |
| Transylvania | Vaya Health                               | Rural |   34047 |   907 |   4769 |  1348 |  16834 |  10189 |  22951 | 0.066 | 0.194 | 0.164 |   59.862 |   314.754 |  261.512 |   3265.8   |   3527.31  |   3763.96  |
| Tyrrell      | Trillium Health Resources                 | Rural |    4141 |   123 |    642 |   106 |   2474 |    796 |   3222 | 0.099 | 0.271 | 0.226 |   12.177 |    63.558 |   28.726 |    670.454 |    699.18  |    728.172 |
| Union        | Cardinal Innovations Healthcare Solutions | Urban |  225160 |  7850 |  51502 | 10059 | 128720 |  27029 | 190281 | 0.055 | 0.171 | 0.132 |  431.75  |  2832.61  | 1720.09  |  22011.1   |  23731.2   |  25117.1   |
| Vance        | Cardinal Innovations Healthcare Solutions | Rural |   44978 |  1645 |   9067 |  1740 |  24914 |   7612 |  35721 | 0.05  | 0.202 | 0.159 |   82.25  |   453.35  |  351.48  |   5032.63  |   5384.11  |   5679.64  |
| Wake         | Alliance Behavioral Healthcare            | Urban | 1025434 | 37669 | 212675 | 41630 | 623031 | 110429 | 877336 | 0.052 | 0.149 | 0.12  | 1958.79  | 11059.1   | 6202.87  |  92831.6   |  99034.5   | 105280     |
| Warren       | Cardinal Innovations Healthcare Solutions | Rural |   20514 |   575 |   3257 |   564 |  11455 |   4663 |  15276 | 0.07  | 0.214 | 0.178 |   40.25  |   227.99  |  120.696 |   2451.37  |   2572.07  |   2719.13  |
| Washington   | Trillium Health Resources                 | Rural |   12579 |   403 |   2328 |   355 |   6719 |   2774 |   9402 | 0.052 | 0.185 | 0.149 |   20.956 |   121.056 |   65.675 |   1243.02  |   1308.69  |   1400.9   |
| Watauga      | Vaya Health                               | Rural |   53706 |  1047 |   5886 |  8516 |  29913 |   8344 |  44315 | 0.061 | 0.167 | 0.148 |   63.867 |   359.046 | 1422.17  |   4995.47  |   6417.64  |   6558.62  |
| Wayne        | Eastpointe                                | Urban |  126174 |  4964 |  25873 |  5029 |  71159 |  19149 | 102061 | 0.057 | 0.212 | 0.167 |  282.948 |  1474.76  | 1066.15  |  15085.7   |  16151.9   |  17044.2   |
| Wilkes       | Vaya Health                               | Rural |   70116 |  2063 |  12384 |  2431 |  39106 |  14132 |  53921 | 0.058 | 0.225 | 0.181 |  119.654 |   718.272 |  546.975 |   8798.85  |   9345.83  |   9759.7   |
| Wilson       | Eastpointe                                | Rural |   82066 |  2799 |  16218 |  3016 |  46317 |  13716 |  65551 | 0.057 | 0.229 | 0.18  |  159.543 |   924.426 |  690.664 |  10606.6   |  11297.3   |  11799.2   |
| Yadkin       | Partners Behavioral Health Management     | Urban |   37457 |  1147 |   6804 |  1402 |  21117 |   6987 |  29323 | 0.067 | 0.204 | 0.167 |   76.849 |   455.868 |  286.008 |   4307.87  |   4593.88  |   4896.94  |
| Yancey       | Vaya Health                               | Rural |   17921 |   523 |   2811 |   545 |   9754 |   4288 |  13110 | 0.071 | 0.197 | 0.165 |   37.133 |   199.581 |  107.365 |   1921.54  |   2028.9   |   2163.15  |



label: N=E*K
O=F*K
P=G*L
Q=H*L
S=J*M
labeled_formulas: N=E*K
O=F*K
P=G*L
Q=H*L
S=J*M
output: {"Arithmetic-Relationship": ["N=E*K", "O=F*K", "P=G*L", "Q=H*L", "S=J*M"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_342673___xlsx_513380e6841180e262ec415f87af7f4bf1089677.xlsx___line_426