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 |
|:-------------------------|------:|---------:|---------:|---------:|--------:|---------:|---------:|---------:|---------:|---------:|--------:|---------:|---------:|--------:|-----------------:|------------:|
| Aberdeen 06-1            |  6001 |  8359430 |  8343725 |  7168351 | 5843422 |  8589640 |  8932737 |  8141512 |  7485823 |  7227452 | 5997766 |  8769090 |  9484404 | 5843422 |      2.50031e+07 | 0.233708    |
| Agar-Blunt-Onida 58-3    | 58003 |  2056032 |  1952035 |  1746987 | 1541965 |  1907630 |  1890662 |  1795423 |  1841812 |  1785318 | 1697701 |  2152919 |  2169735 | 1541965 |      2.6407e+06  | 0.583922    |
| Alcester-Hudson 61-1     | 61001 |  1278154 |  1230296 |  1110976 | 1009013 |  1261403 |  1328647 |  1239935 |  1163619 |  1157198 | 1132923 |  1461806 |  1460706 | 1009013 |      2.32875e+06 | 0.433285    |
| Arlington 38-1           | 38001 |  1339094 |  1262307 |  1135967 | 1004142 |  1170280 |  1193028 |  1096896 |  1038845 |   976193 |  925620 |  1324772 |  1393407 |  925620 |      2.14778e+06 | 0.430967    |
| Armour 21-1              | 21001 |  1043938 |   950761 |   908958 |  847979 |  1075308 |  1057077 |   998934 |   961786 |   906148 |  874302 |  1155122 |  1137929 |  847979 |      1.56706e+06 | 0.541127    |
| Avon 04-1                |  4001 |   591628 |   561857 |   508881 |  466318 |   533683 |   529810 |   475294 |   453178 |   508762 |  478055 |   556347 |   655393 |  453178 |      1.69817e+06 | 0.266863    |
| Baltic 49-1              | 49001 |  1130540 |  1039444 |   936030 |  815018 |   972974 |   973990 |   903107 |   854812 |   889357 |  806102 |  1004987 |  1029098 |  806102 |      2.96698e+06 | 0.271691    |
| Belle Fourche 09-1       |  9001 |  2611845 |  2672568 |  2177722 | 1958985 |  2557453 |  2419922 |  2012583 |  2004022 |  1856796 | 1721245 |  2526691 |  2345948 | 1721245 |      8.70294e+06 | 0.197777    |
| Beresford 61-2           | 61002 |  1297859 |  1164488 |  1024190 |  874604 |  1199756 |  1155406 |  1050024 |  1025363 |   973014 |  925106 |  1436469 |  1372135 |  874604 |      4.14247e+06 | 0.211131    |
| Big Stone City 25-1      | 25001 |   525477 |   483530 |   435404 |  471455 |   551242 |   522699 |   476357 |   437738 |   433647 |  401332 |   517230 |   536545 |  401332 |      1.18492e+06 | 0.338699    |
| Bison 52-1               | 52001 |   838130 |  1016981 |   915604 |  808768 |   931255 |   885775 |   901678 |   823538 |   794075 |  737316 |   841835 |   675120 |  675120 |      1.70085e+06 | 0.396931    |
| Bon Homme 04-2           |  4002 |    95064 |    62561 |    35085 |   19465 |   101692 |    45026 |    25069 |    94665 |     3531 |    6170 |   282886 |   222365 |    3531 |      3.60218e+06 | 0.00098024  |
| Bowdle 22-1              | 22001 |   679449 |   633734 |   568456 |  515341 |   651677 |   643138 |   592938 |   503573 |   475956 |  420352 |   654322 |   662585 |  420352 |      1.2251e+06  | 0.343117    |
| Brandon Valley 49-2      | 49002 |  6361048 |  5720766 |  4349168 | 3630970 |  5194407 |  5732174 |  4991709 |  4556631 |  4241222 | 3840038 |  6209754 |  6338885 | 3630970 |      2.14366e+07 | 0.169382    |
| Bridgewater-Emery 30-3   | 30003 |  1623695 |  1589056 |  1492806 | 1383430 |  1634865 |  1609845 |  1482839 |  1399197 |  1334149 | 1274349 |  1517770 |  1509575 | 1274349 |      2.55312e+06 | 0.499135    |
| Britton-Hecla 45-4       | 45004 |  1093643 |   876520 |   855841 |  665527 |   988775 |  1044434 |   868366 |   718976 |   605309 |  480534 |  1002559 |  1038866 |  480534 |      3.03186e+06 | 0.158495    |
| Brookings 05-1           |  5001 |  6067664 |  5305911 |  3865767 | 2370409 |  5896188 |  5620527 |  4759388 |  4282813 |  3251451 | 2381024 |  6095978 |  5979572 | 2370409 |      2.02148e+07 | 0.117261    |
| Burke 26-2               | 26002 |   569012 |   548112 |   463351 |  403638 |   557375 |   537423 |   473061 |   379608 |   367525 |  327927 |   496234 |   539673 |  327927 |      1.90513e+06 | 0.172129    |
| Canistota 43-1           | 43001 |  1108316 |  1062338 |   998800 |  931662 |  1051805 |  1056245 |   995199 |   943311 |   906778 |  832443 |   937201 |  1001185 |  832443 |      1.86376e+06 | 0.446647    |
| Canton 41-1              | 41001 |  3050635 |  2899229 |  2651481 | 2443818 |  2814605 |  2942107 |  2769275 |  2696318 |  2620872 | 2501364 |  2867488 |  2770041 | 2443818 |      5.30439e+06 | 0.460717    |
| Castlewood 28-1          | 28001 |   807642 |   760196 |   707830 |  649685 |   762779 |   770861 |   704339 |   687378 |   656828 |  626794 |   804246 |   853445 |  626794 |      1.90838e+06 | 0.328442    |
| Centerville 60-1         | 60001 |   692768 |   658181 |   566790 |  510315 |   674520 |   671901 |   609153 |   578758 |   556200 |  524093 |   700514 |   757788 |  510315 |      1.63374e+06 | 0.312359    |
| Chester Area 39-1        | 39001 |  1301732 |  1210575 |  1109568 |  989987 |  1180620 |  1209616 |  1120778 |  1091166 |  1033781 |  975351 |  1265169 |  1229238 |  975351 |      3.35866e+06 | 0.290399    |
| Clark 12-2               | 12002 |   713529 |   618791 |   441776 |  220175 |   755550 |   806939 |   672217 |   578158 |   444089 |  375590 |   933372 |   973358 |  220175 |      2.65085e+06 | 0.0830582   |
| Colman-Egan 50-5         | 50005 |   473947 |   437407 |   363679 |  316863 |   442032 |   436821 |   416803 |   419717 |   386198 |  351275 |   489863 |   426942 |  316863 |      1.69167e+06 | 0.187308    |
| Colome Consolidated 59-3 | 59003 |  1184630 |  1149581 |  1075574 | 1005828 |  1036527 |  1020286 |  1001467 |   963162 |   962526 |  815570 |   860448 |   778053 |  778053 |      2.1095e+06  | 0.368833    |
| Corsica-Stickney 21-3    | 21003 |  1844938 |  1906501 |  1783705 | 1678554 |  2023971 |  1978173 |  1764587 |  1715524 |  1647367 | 1577450 |  1737650 |  1724873 | 1577450 |      1.9202e+06  | 0.821505    |
| Custer 16-1              | 16001 |  1839654 |  1760702 |  1320910 | 1043672 |  1781738 |  1633767 |  1271443 |   850454 |   457281 |  714607 |  2019632 |  2425700 |  457281 |      6.33179e+06 | 0.0722199   |
| Dakota Valley 61-8       | 61008 |  1826872 |  1497812 |  1023542 |  663797 |  1815130 |  1610426 |  1237272 |   898273 |   801549 |  600436 |  1719709 |  1874532 |  600436 |      7.76998e+06 | 0.0772764   |
| De Smet 38-2             | 38002 |   911435 |   830582 |   682678 |  563781 |   774783 |   727713 |   670454 |   584579 |   505026 |  430890 |   689235 |   867684 |  430890 |      2.28386e+06 | 0.188667    |
| Dell Rapids 49-3         | 49003 |  1517175 |  1530390 |  1328886 | 1136182 |  1563887 |  1573826 |  1425183 |  1303983 |  1300050 | 1220405 |  1695299 |  1536711 | 1136182 |      5.30352e+06 | 0.214232    |
| Deubrook Area 05-6       |  5006 |   943053 |   872960 |   734588 |  598634 |   846647 |   805292 |   676230 |   621430 |   492544 |  403275 |  1056008 |  1170337 |  403275 |      2.67458e+06 | 0.150781    |
| Deuel 19-4               | 19004 |  1924014 |  1966716 |  1824374 | 1690898 |  1995817 |  2004013 |  1870906 |  1834856 |  1704380 | 1639980 |  1933259 |  2024048 | 1639980 |      3.15982e+06 | 0.51901     |
| Doland 56-2              | 56002 |  1026847 |   989525 |   884542 |  792590 |  1021625 |  1025393 |  1038756 |   964496 |   895787 |  860162 |  1022308 |  1048711 |  792590 |      1.48083e+06 | 0.535235    |
| Edgemont 23-1            | 23001 |  1217463 |  1142613 |  1072821 |  946921 |  1124663 |  1063998 |  1046030 |   964502 |   849034 |  798196 |  1115338 |  1006548 |  798196 |      1.6237e+06  | 0.491592    |
| Edmunds Central 22-5     | 22005 |   662635 |   596680 |   493293 |  404780 |   718704 |   748241 |   763742 |   687796 |   658083 |  600211 |   865276 |   905764 |  404780 |      1.23445e+06 | 0.327904    |
| Elk Mountain 16-2        | 16002 |   273613 |   259515 |   245878 |  226318 |   263788 |   237579 |   244478 |   229616 |   211757 |  193351 |   267391 |   323979 |  193351 | 268204           | 0.72091     |
| Elk Point-Jefferson 61-7 | 61007 |  1509647 |  1430259 |  1295198 | 1182401 |  1571105 |  1493997 |  1345743 |  1278060 |  1298543 | 1242381 |  1659432 |  1638362 | 1182401 |      3.97518e+06 | 0.297446    |
| Elkton 05-3              |  5003 |   511054 |   391954 |   216959 |  151731 |   236677 |   359181 |   340524 |   208286 |   127247 |   29094 |   224407 |   634042 |   29094 |      2.3745e+06  | 0.0122527   |
| Estelline 28-2           | 28002 |  1172093 |  1086912 |   971374 |  851287 |  1027204 |  1030050 |   911832 |   939145 |   829561 |  735377 |   860199 |   951334 |  735377 |      1.96877e+06 | 0.373521    |
| Ethan 17-1               | 17001 |   865471 |   861003 |   782485 |  736562 |   811296 |   821257 |   793525 |   755063 |   730364 |  694210 |   750412 |   702058 |  694210 |      1.67903e+06 | 0.41346     |
| Eureka 44-1              | 44001 |  1565604 |  1516797 |  1392749 | 1283303 |  1459082 |  1434718 |  1437675 |  1380915 |  1303799 | 1214240 |  1426480 |  1326593 | 1214240 |      1.66865e+06 | 0.72768     |
| Faith 46-2               | 46002 |   750010 |   741906 |   699218 |  689700 |   715131 |   727217 |   810547 |   753508 |   799472 |  783408 |   798514 |   864385 |  689700 |      1.35407e+06 | 0.509353    |
| Faulkton Area 24-4       | 24004 |   828627 |   858522 |   730332 |  640777 |  1121927 |  1109476 |  1010515 |   937132 |   838232 |  795517 |  1358864 |  1394901 |  640777 |      2.05416e+06 | 0.311941    |
| Flandreau 50-3           | 50003 |  1267440 |  1214196 |  1009576 |  848882 |  1118717 |  1125639 |  1013914 |  1111565 |   962391 |  887217 |  1484911 |  1416598 |  848882 |      4.21275e+06 | 0.201503    |
| Florence 14-1            | 14001 |   650750 |   579506 |   482747 |  470676 |   567725 |   577744 |   535761 |   535703 |   505650 |  490982 |   574801 |   716935 |  470676 |      1.58459e+06 | 0.297034    |
| Frederick Area 06-2      |  6002 |  1142657 |  1101011 |  1009306 |  944419 |  1080128 |  1073741 |  1011599 |   974709 |   952620 |  911567 |  1041180 |  1114790 |  911567 |      1.39354e+06 | 0.654135    |
| Freeman 33-1             | 33001 |   776065 |   675582 |   531008 |  410016 |   687372 |   642275 |   534437 |   472571 |   380644 |  257553 |   577248 |   527790 |  257553 |      2.8111e+06  | 0.09162     |
| Garretson 49-4           | 49004 |  1026150 |   942888 |   810500 |  682075 |   863204 |   814966 |   705185 |   634348 |   590082 |  512561 |   745740 |   823827 |  512561 |      3.20816e+06 | 0.159768    |
| Gayville-Volin 63-1      | 63001 |   889043 |   880063 |   841898 |  805840 |   890917 |   919020 |   903563 |   896262 |   931316 |  926568 |   990766 |   969381 |  805840 |      1.82317e+06 | 0.441998    |
| Gettysburg 53-1          | 53001 |   781871 |   779063 |   713901 |  649320 |   776058 |   746717 |   697110 |   658257 |   649824 |  604071 |   766826 |   864734 |  604071 |      1.90033e+06 | 0.317877    |
| Grant-Deuel 25-3         | 25003 |   456718 |   395112 |   369796 |  309731 |   473510 |   478955 |   424473 |   389176 |   375697 |  325799 |   503013 |   508931 |  309731 | 851231           | 0.363862    |
| Gregory 26-4             | 26004 |   742431 |   802527 |   714183 |  630005 |   740563 |   747673 |   668026 |   695503 |   670368 |  651391 |   840172 |   939593 |  630005 |      2.61575e+06 | 0.24085     |
| Groton Area 06-6         |  6006 |  1957551 |  1955760 |  1649943 | 1339444 |  1850444 |  1989830 |  1655603 |  1432560 |  1211780 |  934339 |  1763642 |  1574475 |  934339 |      4.30865e+06 | 0.216852    |
| Haakon 27-1              | 27001 |  1530092 |  1510658 |  1419301 | 1338725 |  1418857 |  1516200 |  1476816 |  1406356 |  1414145 | 1414166 |  1510598 |  1654402 | 1338725 |      1.88853e+06 | 0.70887     |
| Hamlin 28-3              | 28003 |  2270734 |  2202583 |  2073836 | 1972831 |  2259493 |  2196779 |  2078226 |  2084463 |  1967414 | 1926981 |  2327169 |  2362042 | 1926981 |      4.17921e+06 | 0.461088    |
| Hanson 30-1              | 30001 |   983330 |   918189 |   849973 |  791199 |  1017392 |   971157 |   916311 |   927989 |   887912 |  870968 |  1078118 |  1148900 |  791199 |      2.48796e+06 | 0.318011    |
| Harding County 31-1      | 31001 |  1449966 |  1340622 |  1179571 |  957752 |  1095670 |   993586 |   944254 |   752309 |   716107 |  706009 |   801255 |   959969 |  706009 |      2.62239e+06 | 0.269223    |
| Harrisburg 41-2          | 41002 |  5137977 |  4294914 |  3195823 | 2217655 |  4621375 |  5230182 |  4285879 |  4081086 |  3469518 | 2824407 |  6318284 |  6718221 | 2217655 |      2.18314e+07 | 0.101581    |
| Henry 14-2               | 14002 |   529020 |   496190 |   453371 |  421384 |   436489 |   436135 |   411657 |   422920 |   389314 |  365578 |   419283 |   420985 |  365578 |      1.27935e+06 | 0.285753    |
| Herreid 10-1             | 10001 |   133595 |   119378 |    55822 |    7044 |   183513 |   167754 |   108779 |    63361 |    45846 |    9623 |   365345 |   342582 |    7044 |      1.058e+06   | 0.00665782  |
| Highmore-Harrold 34-2    | 34002 |  2409007 |  2333687 |  2184465 | 2060242 |  2329992 |  2300346 |  2234980 |  2175303 |  2107771 | 2049327 |  2343659 |  2287482 | 2049327 |      2.09797e+06 | 0.976815    |
| Hitchcock-Tulare 56-6    | 56006 |   862141 |   795560 |   634171 |  518099 |   800415 |   799983 |   677895 |   598038 |   473124 |  389111 |   714120 |   738847 |  389111 |      2.02754e+06 | 0.191913    |
| Hoven 53-2               | 53002 |  1094875 |  1043897 |   939276 |  850825 |  1096472 |  1033920 |  1045672 |   992960 |  1032579 |  985722 |  1281281 |  1257843 |  850825 |      1.43279e+06 | 0.593822    |
| Howard 48-3              | 48003 |  1061106 |   949599 |   783472 |  643526 |   974334 |   878482 |   770177 |   679641 |   529198 |  432741 |   846522 |   802511 |  432741 |      2.67016e+06 | 0.162066    |
| Huron 02-2               |  2002 |  3552823 |  3348204 |  2807822 | 2158549 |  3028349 |  3546216 |  3110838 |  2943708 |  2607512 | 2368676 |  3216943 |  3412326 | 2158549 |      1.67574e+07 | 0.128811    |
| Ipswich Public 22-6      | 22006 |  1387313 |  1278264 |  1099210 |  928488 |  1345839 |  1300389 |  1116528 |   984417 |   874035 |  733718 |  1237143 |  1187000 |  733718 |      2.82544e+06 | 0.259682    |
| Irene-Wakonda 13-3       | 13003 |   945883 |   896523 |   791770 |  690518 |   909773 |   971418 |   873584 |   877634 |   809678 |  728092 |  1003164 |  1071442 |  690518 |      2.09469e+06 | 0.329652    |
| Iroquois 02-3            |  2003 |  2195576 |  2130695 |  1995246 | 1875163 |  2220557 |  2193201 |  2050591 |  1943015 |  1855608 | 1785549 |  2189949 |  2218194 | 1785549 |      2.0278e+06  | 0.880534    |
| Jones County 37-3        | 37003 |   570373 |   522508 |   458616 |  382766 |   465584 |   490378 |   544474 |   580450 |   514014 |  500876 |   606942 |   583718 |  382766 |      1.52188e+06 | 0.251509    |
| Kadoka Area 35-2         | 35002 |   755771 |   651462 |   531179 |  405401 |   424352 |   346157 |   279027 |   513063 |   477698 |  390954 |   519376 |   881428 |  279027 |      3.4862e+06  | 0.0800375   |
| Kimball 07-2             |  7002 |   837318 |   846306 |   750050 |  650481 |   770727 |   785099 |   688283 |   644225 |   529766 |  509904 |   727896 |   803717 |  509904 |      2.21591e+06 | 0.23011     |
| Langford Area 45-5       | 45005 |   958519 |   917904 |   830092 |  739432 |   932705 |   982025 |   927144 |   865931 |   807088 |  774423 |   997450 |   998198 |  739432 |      1.53692e+06 | 0.481112    |
| Lead-Deadwood 40-1       | 40001 |  5323803 |  5010530 |  4507844 | 4084852 |  5065382 |  5104355 |  4721316 |  4573308 |  4560162 | 4299023 |  5829050 |  5838452 | 4084852 |      7.30899e+06 | 0.55888     |
| Lemmon 52-4              | 52004 |    70810 |   191909 |    85929 |    1540 |   165978 |   191494 |   165201 |   106103 |    98808 |   55612 |   208983 |   305758 |    1540 |      2.33444e+06 | 0.000659686 |
| Lennox 41-4              | 41004 |  1900765 |  1828605 |  1584177 | 1319449 |  1710930 |  1694415 |  1437985 |  1405540 |  1212229 | 1098562 |  2031308 |  2031337 | 1098562 |      6.14421e+06 | 0.178796    |
| Leola 44-2               | 44002 |   483669 |   422302 |   305569 |  213613 |   321234 |    87656 |   330157 |   270132 |   179312 |   98312 |   400228 |   355607 |   87656 |      1.85537e+06 | 0.0472445   |
| Lyman 42-1               | 42001 |  1174362 |  1105849 |   917025 |  725463 |   951022 |   869776 |  1113706 |   977919 |   965748 |  804679 |   920923 |   916017 |  725463 |      3.79621e+06 | 0.191102    |
| Madison Central 39-2     | 39002 |  2759974 |  2621422 |  2312099 | 1991234 |  2671073 |  2755663 |  2494767 |  2316039 |  2075760 | 1831265 |  2805567 |  2974538 | 1831265 |      6.92858e+06 | 0.264306    |
| Marion 60-3              | 60003 |  1077026 |  1009074 |   941082 |  851238 |   965116 |   962033 |   892192 |   822102 |   758364 |  690293 |  1008691 |  1052710 |  690293 |      1.66875e+06 | 0.413658    |
| McCook Central 43-7      | 43007 |  1347375 |  1295179 |  1172673 | 1076323 |  1351152 |  1297590 |  1170591 |  1096196 |  1021342 |  962035 |  1316287 |  1254987 |  962035 |      2.71539e+06 | 0.35429     |
| McIntosh 15-1            | 15001 |     4141 |   312719 |   215118 |   36194 |    23479 |    50781 |   115589 |   145443 |    98932 |   29171 |   147246 |   135232 |    4141 |      2.61391e+06 | 0.00158422  |
| Meade 46-1               | 46001 |  6946123 |  6733243 |  6033879 | 5452666 |  6576301 |  6714788 |  6102016 |  5783790 |  5489304 | 5044756 |  6269199 |  6893315 | 5044756 |      1.65183e+07 | 0.305404    |
| Menno 33-2               | 33002 |  2062237 |  2024443 |  1898311 | 1794934 |  1983028 |  1936757 |  1856219 |  1822191 |  1775512 | 1714673 |  1910813 |  1841360 | 1714673 |      2.34871e+06 | 0.73005     |
| Milbank 25-4             | 25004 |  2077618 |  1984739 |  1655602 | 1619159 |  1943529 |  2014995 |  1779272 |  1626056 |  1471961 | 1290869 |  1876960 |  2110324 | 1290869 |      5.54821e+06 | 0.232664    |
| Miller 29-4              | 29004 |  1049426 |   950374 |   753493 |  566058 |  1120735 |  1087635 |   905870 |   827242 |   720065 |  596337 |  1144942 |  1111979 |  566058 |      2.96627e+06 | 0.190832    |
| Mitchell 17-2            | 17002 |  4740168 |  4994329 |  4239996 | 3379650 |  5204107 |  4823658 |  4407387 |  4096617 |  3626798 | 3264482 |  5028996 |  5193190 | 3264482 |      1.74189e+07 | 0.18741     |
| Mobridge-Pollock 62-6    | 62006 |  2236036 |  2288767 |  2136544 | 1997683 |  2261277 |  2416378 |  2299952 |  2244220 |  2249635 | 2135779 |  2577939 |  2571186 | 1997683 |      4.35909e+06 | 0.45828     |
| Montrose 43-2            | 43002 |   719500 |   750574 |   687315 |  619803 |   689027 |   693624 |   645291 |   592864 |   594386 |  578069 |   642546 |   673712 |  578069 |      1.68914e+06 | 0.342226    |
| Mount Vernon 17-3        | 17003 |   965706 |   910830 |   831797 |  709682 |   876548 |   837128 |   741576 |   684323 |   626401 |  568667 |   800125 |   906651 |  568667 |      1.69905e+06 | 0.334698    |
| New Underwood 51-3       | 51003 |   601708 |   570333 |   557196 |  517667 |   568699 |   563525 |   542047 |   538397 |   511377 |  482433 |   535775 |   518334 |  482433 |      1.84828e+06 | 0.261017    |
| Newell 09-2              |  9002 |  1250500 |  1281665 |  1177480 | 1129602 |  1237194 |  1190878 |  1115076 |  1029071 |  1042824 |  934404 |  1083380 |   966012 |  934404 |      2.99518e+06 | 0.31197     |
| Northwestern Area 56-7   | 56007 |  1544652 |  1501457 |  1335045 | 1217215 |  1447993 |  1463539 |  1296823 |  1224796 |  1167316 | 1101256 |  1296562 |  1407988 | 1101256 |      1.93918e+06 | 0.567897    |
| Oelrichs 23-3            | 23003 |   375862 |   310728 |   148642 |  174055 |   172783 |   185051 |   155879 |   135620 |   154111 |   72328 |     1390 |    85810 |    1390 |      2.27512e+06 | 0.000610957 |
| Oldham-Ramona 39-5       | 39005 |   717570 |   666283 |   593492 |  533012 |   692991 |   724014 |   662321 |   650384 |   621965 |  576519 |   737354 |   760521 |  533012 |      1.20906e+06 | 0.440847    |
| Parker 60-4              | 60004 |   905483 |   829048 |   740919 |  706698 |   950018 |   928602 |   839655 |   817821 |   750925 |  728309 |  1045497 |  1162783 |  706698 |      2.40309e+06 | 0.294079    |
| Parkston 33-3            | 33003 |  1474586 |  1337390 |  1276721 | 1139785 |  1343443 |  1343136 |  1216935 |  1170117 |  1104961 | 1032026 |  1302554 |  1455138 | 1032026 |      3.64614e+06 | 0.283047    |
| Pierre 32-2              | 32002 |  5150034 |  4991904 |  4427768 | 3879133 |  5101802 |  5270150 |  4731017 |  4428866 |  4604583 | 4205226 |  5531080 |  5019885 | 3879133 |      1.56068e+07 | 0.248553    |
| Plankinton 01-1          |  1001 |   906093 |   941418 |   827413 |  753440 |   915928 |   888173 |   776106 |   794853 |   756008 |  736942 |   939207 |   941310 |  736942 |      2.77411e+06 | 0.26565     |
| Platte-Geddes 11-5       | 11005 |  2075916 |  2041064 |  1848883 | 1686412 |  1939770 |  1962241 |  1798158 |  1733635 |  1496090 | 1409326 |  1692359 |  1712141 | 1409326 |      3.58184e+06 | 0.393464    |
| Rapid City Area 51-4     | 51004 | 14488087 | 16291901 | 13206756 | 9139300 | 19034952 | 18485249 | 15281741 | 13325914 | 10259788 | 7526280 | 19649563 | 15246860 | 7526280 |      7.78012e+07 | 0.0967373   |
| Redfield 56-4            | 56004 |  1753209 |  1856123 |  1895628 | 1717182 |  1547343 |  1925736 |  1912930 |  1838070 |  1778229 | 1696152 |  1670055 |  1947057 | 1547343 |      4.11219e+06 | 0.376282    |
| Rosholt 54-4             | 54004 |  1111591 |  1027950 |   942035 |  865442 |   953358 |   985556 |   918400 |   895437 |   870477 |  796791 |   895718 |   979609 |  796791 |      1.92734e+06 | 0.413416    |
| Sanborn Central 55-5     | 55005 |   714858 |   646051 |   494252 |  402164 |   623068 |   564970 |   479862 |   414332 |   335050 |  307977 |   419720 |   558005 |  307977 |      1.75659e+06 | 0.175327    |
| Scotland 04-3            |  4003 |  2215300 |  2206640 |  2123208 | 2043986 |  2160697 |  2144453 |  2057386 |  2063498 |  2027936 | 1992053 |  2138914 |  2058597 | 1992053 |      2.02986e+06 | 0.981375    |
| Selby Area 62-5          | 62005 |  1747444 |  1651918 |  1499857 | 1366011 |  1612116 |  1528606 |  1515413 |  1422108 |  1365342 | 1255926 |  1503980 |  1520721 | 1255926 |      1.80614e+06 | 0.695366    |
| Sioux Falls 49-5         | 49005 | 26420733 | 23633266 | 16684285 | 9282847 | 25639297 | 26230177 | 19968386 | 15646463 | 11892613 | 6300078 | 25861568 | 31746314 | 6300078 |      1.4911e+08  | 0.0422512   |
| Sioux Valley 05-5        |  5005 |  2666924 |  2583121 |  2388183 | 2255347 |  2705273 |  2605265 |  2502761 |  2499228 |  2345651 | 2186368 |  2591380 |  2561294 | 2186368 |      4.20758e+06 | 0.519626    |
| South Central 26-5       | 26005 |   312912 |   243281 |   181085 |  103081 |   240527 |   176700 |   115241 |   166807 |   193156 |  125654 |   259436 |   341530 |  103081 |      1.61913e+06 | 0.0636645   |
| Spearfish 40-2           | 40002 |  4054546 |  3945505 |  3324019 | 2812017 |  4516598 |  4266627 |  3684550 |  3474526 |  3145350 | 2621721 |  4262274 |  4143923 | 2621721 |      1.31096e+07 | 0.199984    |
| Stanley County 57-1      | 57001 |   526191 |   492480 |   325847 |  137216 |   474375 |   496712 |   400520 |   258140 |   162843 |   30671 |   386553 |   769791 |   30671 |      3.05235e+06 | 0.0100483   |
| Summit 54-6              | 54006 |   306447 |   271089 |   221120 |  165149 |   227967 |   218559 |   177167 |   112943 |    84053 |   50351 |   114462 |   171731 |   50351 |      1.34846e+06 | 0.0373397   |
| Tea Area 41-5            | 41005 |  1800185 |  1656488 |  1315685 | 1016600 |  1548567 |  1734927 |  1554614 |  1508226 |  1339017 | 1390118 |  2087097 |  1673935 | 1016600 |      8.62475e+06 | 0.11787     |
| Timber Lake 20-3         | 20003 |   298246 |   200678 |   179292 |  156322 |   169577 |   239371 |   196097 |   315709 |   225317 |  199594 |   218912 |   276926 |  156322 |      3.62644e+06 | 0.0431061   |
| Tripp-Delmont 33-5       | 33005 |  1080666 |  1023629 |   904275 |  823164 |   966729 |   945714 |   829615 |   782305 |   709719 |  666866 |  1008570 |   933671 |  666866 |      1.80038e+06 | 0.370402    |
| Tri-Valley 49-6          | 49006 |  2557810 |  2445454 |  2049096 | 1784493 |  2464974 |  2514582 |  2312345 |  2102411 |  2004455 | 1870636 |  2444654 |  2478478 | 1784493 |      5.84833e+06 | 0.305129    |
| Vermillion 13-1          | 13001 |  2735253 |  2728374 |  2326359 | 2034651 |  3009361 |  2964009 |  2641897 |  2474525 |  2209844 | 1995643 |  3043706 |  2944923 | 1995643 |      8.34259e+06 | 0.239212    |
| Viborg-Hurley 60-6       | 60006 |  1146679 |  1111544 |   989249 |  935470 |  1123946 |  1100508 |  1025344 |  1015755 |  1009071 |  990584 |  1313888 |  1360226 |  935470 |      2.09236e+06 | 0.447088    |
| Wagner Community 11-4    | 11004 |  1555119 |  1182207 |   958580 |  648960 |  1250118 |  1052004 |   774208 |   870717 |   652703 |  343608 |   930652 |  1017100 |  343608 |      7.54891e+06 | 0.0455176   |
| Wall 51-5                | 51005 |   751730 |   733363 |   604254 |  474252 |   626931 |   573116 |   472512 |   394786 |   317883 |  210698 |   386262 |   506094 |  210698 |      2.35055e+06 | 0.0896379   |
| Warner 06-5              |  6005 |   728058 |   690048 |   604289 |  539168 |   658974 |   629834 |   569169 |   513685 |   482910 |  428330 |   579732 |   635353 |  428330 |      2.05065e+06 | 0.208875    |
| Watertown 14-4           | 14004 |  6036247 |  5860223 |  4847499 | 3910968 |  6456156 |  6213522 |  5407084 |  5584048 |  4709403 | 4183960 |  7208943 |  6654363 | 3910968 |      2.27577e+07 | 0.171853    |
| Waverly 14-5             | 14005 |   908513 |   888945 |   785811 |  725979 |   900776 |   914481 |   855494 |   834173 |   821498 |  791768 |   956177 |   960925 |  725979 |      1.87152e+06 | 0.38791     |
| Webster Area 18-5        | 18005 |  1986114 |  1974374 |  1742356 | 1540316 |  1889652 |  1854917 |  1680691 |  1549538 |  1453800 | 1319428 |  1757185 |  1886119 | 1319428 |      3.46906e+06 | 0.380342    |
| Wessington Springs 36-2  | 36002 |  1567751 |  1582553 |  1417965 | 1284788 |  1582231 |  1660325 |  1562516 |  1480325 |  1441459 | 1126958 |  1605888 |  1556725 | 1126958 |      2.68385e+06 | 0.419904    |
| West Central 49-7        | 49007 |  2468098 |  1850481 |  1554150 | 1221730 |  2182135 |  2178306 |  1977399 |  1833667 |  1734043 | 1579426 |  2137002 |  2023106 | 1221730 |      8.44035e+06 | 0.144749    |
| White Lake 01-3          |  1003 |   683180 |   638781 |   540491 |  485211 |   619709 |   591962 |   534531 |   500490 |   477339 |  447929 |   714461 |   692910 |  447929 |      1.18456e+06 | 0.378139    |
| Willow Lake 12-3         | 12003 |  1533967 |  1456955 |  1332435 | 1232602 |  1387954 |  1330922 |  1221527 |  1131851 |  1027721 |  947224 |  1074505 |  1032106 |  947224 |      2.07737e+06 | 0.455974    |
| Wilmot 54-7              | 54007 |   605298 |   599916 |   535294 |  475710 |   590089 |   570681 |   516975 |   510778 |   492874 |  462001 |   574713 |   635608 |  462001 |      1.54193e+06 | 0.299625    |
| Winner 59-2              | 59002 |  1931491 |  1987864 |  1789359 | 1614248 |  1978073 |  1938204 |  1734917 |  1594030 |  1653581 | 1555464 |  1834026 |  1886448 | 1555464 |      4.60808e+06 | 0.337551    |
| Wolsey-Wessington 02-6   |  2006 |   667799 |   649230 |   609986 |  509632 |   705461 |   734576 |   624667 |   571884 |   495788 |  458356 |   665813 |   765705 |  458356 |      2.47825e+06 | 0.184952    |
| Woonsocket 55-4          | 55004 |  1215541 |  1166833 |  1103855 | 1020997 |  1180671 |  1152616 |  1087446 |  1059808 |   999727 |  984756 |  1212407 |  1246001 |  984756 |      1.62819e+06 | 0.604815    |
| Yankton 63-3             | 63003 |  6373374 |  6329437 |  5656297 | 5090368 |  6479168 |  6731513 |  6099394 |  5662178 |  5598893 | 5306876 |  7310059 |  7574624 | 5090368 |      1.49907e+07 | 0.339569    |



labeled_formulas: Q=O/P
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_731338___xlsx_2607c14c68513ae1fa9d5cd92b538fd842cb659a.xlsx___line_50