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 |
|-------:|----:|:----------------------|---------:|----:|----:|-----------------:|-----------------:|---------:|
|    1   |   1 | Aitkin                |  1234    |   0 |   0 | 687753           | 171938           | 139.334  |
|    2   |   1 | Hill City             |   294    |   0 |   0 | 238024           |  59506           | 202.401  |
|    4   |   1 | Mcgregor              |   363    |   0 |   0 | 425794           | 106448           | 293.246  |
|   11   |   1 | Anoka-Hennepin        | 38848    |   1 |   0 |      2.07153e+07 |      5.17881e+06 | 133.31   |
|   12   |   1 | Centennial            |  6799    |   1 |   0 |      3.59823e+06 | 899556           | 132.307  |
|   13   |   1 | Columbia Heights      |  2896    |   1 |   0 |      1.40812e+06 | 352030           | 121.557  |
|   14   |   1 | Fridley               |  2707    |   1 |   0 |      1.13481e+06 | 283703           | 104.803  |
|   15   |   1 | St. Francis           |  5704    |   1 |   0 |      2.48376e+06 | 620940           | 108.86   |
|   16   |   1 | Spring Lake Park      |  4666    |   1 |   0 |      2.45475e+06 | 613687           | 131.523  |
|   22   |   1 | Detroit Lakes         |  2531    |   0 |   0 |      1.45834e+06 | 364584           | 144.047  |
|   23   |   1 | Frazee                |   877    |   0 |   0 | 879937           | 219984           | 250.837  |
|   25   |   1 | Pine Point            |    84    |   0 |   0 |  25606.5         |   6401.63        |  76.2099 |
|   32   |   1 | Blackduck             |   628    |   0 |   0 | 486056           | 121514           | 193.494  |
|   36   |   1 | Kelliher              |   226    |   0 |   0 | 184372           |  46093           | 203.951  |
|   38   |   1 | Red Lake              |  1385    |   0 |   0 |      1.32502e+06 | 331254           | 239.173  |
|   47   |   1 | Sauk Rapids           |  3587    |   0 |   0 |      1.56658e+06 | 391645           | 109.185  |
|   51   |   1 | Foley                 |  1676    |   0 |   0 | 654142           | 163536           |  97.5749 |
|   62   |   1 | Ortonville            |   426    |   0 |   0 | 154768           |  38692.1         |  90.8266 |
|   75   |   1 | St. Clair             |   608    |   0 |   0 | 379387           |  94846.8         | 155.998  |
|   81   |   1 | Comfrey               |   145    |   0 |   0 |  90187.8         |  22546.9         | 155.496  |
|   84   |   1 | Sleepy Eye            |   572    |   0 |   0 | 401874           | 100468           | 175.644  |
|   85   |   1 | Springfield           |   559    |   0 |   0 | 351019           |  87754.7         | 156.985  |
|   91   |   1 | Barnum                |   688    |   0 |   0 | 328605           |  82151.3         | 119.406  |
|   93   |   1 | Carlton               |   547    |   0 |   0 | 382048           |  95511.9         | 174.611  |
|   95   |   1 | Cromwell              |   310    |   0 |   0 | 160316           |  40079           | 129.287  |
|   97   |   1 | Moose Lake            |   743    |   0 |   0 | 403147           | 100787           | 135.649  |
|   99   |   1 | Esko                  |  1143    |   0 |   0 | 334270           |  83567.5         |  73.1124 |
|  100   |   1 | Wrenshall             |   310    |   0 |   0 | 172209           |  43052.3         | 138.879  |
|  108   |   1 | Norwood               |  1077    |   1 |   0 | 411717           | 102929           |  95.5703 |
|  110   |   1 | Waconia               |  3089    |   1 |   0 |      1.61807e+06 | 404518           | 130.954  |
|  111   |   1 | Watertown-Mayer       |  1764    |   1 |   0 | 984535           | 246134           | 139.532  |
|  112   |   1 | Chaska                |  9145    |   1 |   0 |      4.85719e+06 |      1.2143e+06  | 132.783  |
|  113   |   1 | Walker-Akeley         |   814    |   0 |   0 | 611957           | 152989           | 187.948  |
|  115   |   1 | Cass Lake             |  1027    |   0 |   0 |      1.00951e+06 | 252378           | 245.743  |
|  116   |   1 | Pillager              |   792    |   0 |   0 | 546886           | 136722           | 172.628  |
|  118   |   1 | Remer                 |   410    |   0 |   0 | 560888           | 140222           | 342.005  |
|  129   |   1 | Montevideo            |  1491    |   0 |   0 | 620927           | 155232           | 104.113  |
|  138   |   1 | North Branch          |  3679    |   0 |   0 |      1.74742e+06 | 436854           | 118.743  |
|  139   |   1 | Rush City             |   895    |   0 |   0 | 370015           |  92503.8         | 103.356  |
|  146   |   1 | Barnesville           |   807    |   0 |   0 | 349372           |  87342.9         | 108.232  |
|  150   |   1 | Hawley                |   879    |   0 |   0 | 229304           |  57326           |  65.2173 |
|  160   |  70 | Mn State Academies    |     0    |   0 |   0 |      0           |      0           |   0      |
|  160.1 |  71 | Mn State Academies Tr |     0    |   0 |   0 |      0           |      0           |   0      |
|  162   |   1 | Bagley                |   994    |   0 |   0 | 587090           | 146772           | 147.658  |
|  166   |   1 | Cook County           |   520    |   0 |   0 | 356385           |  89096.1         | 171.339  |
|  173   |   1 | Mountain Lake         |   486    |   0 |   0 | 129781           |  32445.3         |  66.7598 |
|  177   |   1 | Windom                |   925    |   0 |   0 | 315368           |  78842           |  85.2346 |
|  182   |   1 | Crosby                |  1177    |   0 |   0 | 879488           | 219872           | 186.807  |
|  186   |   1 | Pequot Lakes          |  1466    |   0 |   0 | 647841           | 161960           | 110.478  |
|  191   |   1 | Burnsville            |  9835    |   1 |   0 |      5.12874e+06 |      1.28218e+06 | 130.37   |
|  192   |   1 | Farmington            |  6641    |   1 |   0 |      2.96791e+06 | 741977           | 111.727  |
|  194   |   1 | Lakeville             | 11358    |   1 |   0 |      6.92195e+06 |      1.73049e+06 | 152.358  |
|  195   |   1 | Randolph              |   539    |   1 |   0 | 168901           |  42225.3         |  78.3402 |
|  196   |   1 | Rosemount-Apple       | 27204    |   1 |   0 |      1.23774e+07 |      3.09434e+06 | 113.746  |
|  197   |   1 | West St. Paul         |  4412    |   1 |   0 |      2.18448e+06 | 546119           | 123.78   |
|  199   |   1 | Inver Grove           |  3696    |   1 |   0 |      1.90634e+06 | 476586           | 128.946  |
|  200   |   1 | Hastings              |  4797    |   1 |   0 |      2.5772e+06  | 644301           | 134.313  |
|  203   |   1 | Hayfield              |   819    |   0 |   0 | 398524           |  99630.9         | 121.649  |
|  204   |   1 | Kasson-Mantorvil      |  2026    |   0 |   0 | 679855           | 169964           |  83.8913 |
|  206   |   1 | Alexandria            |  3905    |   0 |   0 |      1.52071e+06 | 380178           |  97.3568 |
|  207   |   1 | Brandon               |   287    |   0 |   0 | 248382           |  62095.5         | 216.361  |
|  208   |   1 | Evansville            |   170    |   0 |   0 |  76878           |  19219.5         | 113.056  |
|  213   |   1 | Osakis                |   734    |   0 |   0 | 325073           |  81268.3         | 110.72   |
|  227   |   1 | Chatfield             |   864    |   0 |   0 | 433701           | 108425           | 125.492  |
|  229   |   1 | Lanesboro             |   319    |   0 |   0 | 242887           |  60721.6         | 190.35   |
|  238   |   1 | Mabel-Canton          |   289    |   0 |   0 | 198178           |  49544.6         | 171.435  |
|  239   |   1 | Rushford-Peterso      |   661    |   0 |   0 | 419724           | 104931           | 158.746  |
|  242   |   1 | Alden                 |   468    |   0 |   0 | 241615           |  60403.8         | 129.068  |
|  252   |   1 | Cannon Falls          |  1238    |   0 |   0 | 428933           | 107233           |  86.6181 |
|  253   |   1 | Goodhue               |   620    |   0 |   0 | 319716           |  79928.9         | 128.918  |
|  255   |   1 | Pine Island           |  1264    |   0 |   0 | 372065           |  93016.2         |  73.5888 |
|  261   |   1 | Ashby                 |   267    |   0 |   0 |  92456.7         |  23114.2         |  86.5699 |
|  264   |   1 | Herman-Norcross       |   114    |   0 |   0 |  68276.4         |  17069.1         | 149.729  |
|  270   |   1 | Hopkins               |  7403    |   1 |   0 |      5.4937e+06  |      1.37343e+06 | 185.523  |
|  271   |   1 | Bloomington           | 10337    |   1 |   0 |      4.97943e+06 |      1.24486e+06 | 120.427  |
|  272   |   1 | Eden Prairie          |  9727    |   1 |   0 |      4.72749e+06 |      1.18187e+06 | 121.504  |
|  273   |   1 | Edina                 |  8010    |   1 |   0 |      3.42365e+06 | 855912           | 106.855  |
|  276   |   1 | Minnetonka            |  8037    |   1 |   0 |      4.01337e+06 |      1.00334e+06 | 124.841  |
|  277   |   1 | Westonka              |  2220    |   1 |   0 |      1.55269e+06 | 388172           | 174.852  |
|  278   |   1 | Orono                 |  2639    |   1 |   0 |      1.39311e+06 | 348278           | 131.973  |
|  279   |   1 | Osseo                 | 21391    |   1 |   0 |      1.81186e+07 |      4.52965e+06 | 211.755  |
|  280   |   1 | Richfield             |  4134    |   1 |   0 |      2.06968e+06 | 517419           | 125.162  |
|  281   |   1 | Robbinsdale           | 12734    |   1 |   0 |      9.46668e+06 |      2.36667e+06 | 185.854  |
|  282   |   1 | St. Anthony-New       |  1692    |   1 |   0 | 675217           | 168804           |  99.766  |
|  283   |   1 | St. Louis Park        |  4283    |   1 |   0 |      3.10142e+06 | 775355           | 181.031  |
|  284   |   1 | Wayzata               |  9966    |   1 |   0 |      5.45807e+06 |      1.36452e+06 | 136.917  |
|  286   |   1 | Brooklyn Center       |  1946    |   1 |   0 | 599190           | 149798           |  76.9772 |
|  294   |   1 | Houston               |  1552    |   0 |   0 | 219558           |  54889.5         |  35.367  |
|  297   |   1 | Spring Grove          |   327    |   0 |   0 | 177036           |  44258.9         | 135.348  |
|  299   |   1 | Caledonia             |   743    |   0 |   0 | 593145           | 148286           | 199.578  |
|  300   |   1 | Lacrescent            |  1283    |   0 |   0 | 545330           | 136332           | 106.261  |
|  306   |   1 | Laporte               |   256    |   0 |   0 | 162933           |  40733.3         | 159.115  |
|  308   |   1 | Nevis                 |   536    |   0 |   0 | 317733           |  79433.2         | 148.196  |
|  309   |   1 | Park Rapids           |  1533    |   0 |   0 | 784894           | 196224           | 128      |
|  314   |   1 | Braham                |   862    |   0 |   0 | 537100           | 134275           | 155.771  |
|  316   |   1 | Greenway              |  1174    |   0 |   0 | 591038           | 147759           | 125.86   |
|  317   |   1 | Deer River            |   904    |   0 |   0 | 639970           | 159992           | 176.983  |
|  318   |   1 | Grand Rapids          |  3632    |   0 |   0 |      1.65678e+06 | 414196           | 114.041  |
|  319   |   1 | Nashwauk-Keewati      |   567    |   0 |   0 | 713175           | 178294           | 314.451  |
|  330   |   1 | Heron Lake-Okabe      |   237    |   0 |   0 | 152259           |  38064.7         | 160.61   |
|  332   |   1 | Mora                  |  1821    |   0 |   0 | 745046           | 186261           | 102.285  |
|  333   |   1 | Ogilvie               |   583    |   0 |   0 | 253162           |  63290.4         | 108.56   |
|  345   |   1 | New London-Spice      |  1485    |   0 |   0 | 895311           | 223828           | 150.726  |
|  356   |   1 | Lancaster             |   192    |   0 |   0 | 162918           |  40729.4         | 212.133  |
|  361   |   1 | International Fa      |  1262    |   0 |   0 | 510995           | 127749           | 101.227  |
|  362   |   1 | Littlefork-Big F      |   318    |   0 |   0 | 231080           |  57770.1         | 181.667  |
|  363   |   1 | South Koochichin      |   358    |   0 |   0 | 518561           | 129640           | 362.124  |
|  371   |   1 | Bellingham            |   109    |   0 |   0 |  95292.3         |  23823.1         | 218.56   |
|  378   |   1 | Dawson                |   513    |   0 |   0 | 304963           |  76240.8         | 148.618  |
|  381   |   1 | Lake Superior         |  1401    |   0 |   0 | 986264           | 246566           | 175.993  |
|  390   |   1 | Lake Of The Wood      |   512    |   0 |   0 | 332975           |  83243.7         | 162.585  |
|  391   |   1 | Cleveland             |   392    |   0 |   0 | 214783           |  53695.8         | 136.979  |
|  392   |   1 | Lecenter              |   674    |   0 |   0 | 277321           |  69330.2         | 102.864  |
|  394   |   1 | Montgomery            |  1165    |   0 |   0 | 687392           | 171848           | 147.509  |
|  402   |   1 | Hendricks             |   151    |   0 |   0 |  64061.2         |  16015.3         | 106.062  |
|  403   |   1 | Ivanhoe               |   169    |   0 |   0 | 106171           |  26542.8         | 157.058  |
|  404   |   1 | Lake Benton           |   176    |   0 |   0 |  78272.3         |  19568.1         | 111.182  |
|  411   |   1 | Balaton               |   101    |   0 |   0 |  35460.4         |   8865.11        |  87.7733 |
|  414   |   1 | Minneota              |   458    |   0 |   0 | 293975           |  73493.8         | 160.467  |
|  415   |   1 | Lynd                  |   167    |   0 |   0 |  79752.3         |  19938.1         | 119.39   |
|  417   |   1 | Tracy                 |   663    |   0 |   0 | 284929           |  71232.4         | 107.439  |
|  424   |   1 | Lester Prairie        |   438    |   0 |   0 | 233248           |  58312.1         | 133.133  |
|  432   |   1 | Mahnomen              |   620    |   0 |   0 | 494157           | 123539           | 199.257  |
|  435   |   1 | Waubun                |   613    |   0 |   0 | 549354           | 137339           | 224.043  |
|  441   |   1 | Newfolden             |   363    |   0 |   0 | 218890           |  54722.6         | 150.751  |
|  447   |   1 | Grygla                |   181    |   0 |   0 | 299859           |  74964.6         | 414.169  |
|  458   |   1 | Truman                |   309    |   0 |   0 | 348155           |  87038.7         | 281.679  |
|  463   |   1 | Eden Valley           |   850    |   0 |   0 | 502645           | 125661           | 147.837  |
|  465   |   1 | Litchfield            |  1800    |   0 |   0 |      1.34544e+06 | 336359           | 186.866  |
|  466   |   1 | Dassel-Cokato         |  2312    |   0 |   0 |      1.01796e+06 | 254490           | 110.073  |
|  473   |   1 | Isle                  |   534    |   0 |   0 | 283060           |  70765           | 132.519  |
|  477   |   1 | Princeton             |  3597    |   0 |   0 |      1.61608e+06 | 404021           | 112.322  |
|  480   |   1 | Onamia                |   659    |   0 |   0 | 480754           | 120189           | 182.38   |
|  484   |   1 | Pierz                 |  1003    |   0 |   0 | 412846           | 103212           | 102.903  |
|  485   |   1 | Royalton              |   712    |   0 |   0 | 273048           |  68262           |  95.8736 |
|  486   |   1 | Swanville             |   314    |   0 |   0 | 178213           |  44553.3         | 141.89   |
|  487   |   1 | Upsala                |   391    |   0 |   0 | 197307           |  49326.8         | 126.156  |
|  495   |   1 | Grand Meadow          |   346    |   0 |   0 | 155014           |  38753.5         | 112.004  |
|  497   |   1 | Lyle                  |   227    |   0 |   0 | 152469           |  38117.2         | 167.917  |
|  499   |   1 | Leroy                 |   288    |   0 |   0 | 216822           |  54205.6         | 188.214  |
|  500   |   1 | Southland             |   579    |   0 |   0 | 535679           | 133920           | 231.295  |
|  505   |   1 | Fulda                 |   347    |   0 |   0 | 315137           |  78784.3         | 227.044  |
|  507   |   1 | Nicollet              |   305    |   0 |   0 | 226305           |  56576.2         | 185.496  |
|  508   |   1 | St. Peter             |  1820    |   0 |   0 | 842553           | 210638           | 115.735  |
|  511   |   1 | Adrian                |   609    |   0 |   0 | 407603           | 101901           | 167.325  |
|  513   |   1 | Brewster              |   169    |   0 |   0 | 121937           |  30484.3         | 180.38   |
|  514   |   1 | Ellsworth             |   166    |   0 |   0 | 117605           |  29401.4         | 177.117  |
|  516   |   1 | Round Lake            |   119    |   0 |   0 |  16653.1         |   4163.27        |  34.9855 |
|  531   |   1 | Byron                 |  1715    |   0 |   0 | 467155           | 116789           |  68.0984 |
|  533   |   1 | Dover-Eyota           |  1231    |   0 |   0 | 293872           |  73467.9         |  59.6815 |
|  534   |   1 | Stewartville          |  1745    |   0 |   0 | 619882           | 154970           |  88.8082 |
|  542   |   1 | Battle Lake           |   494    |   0 |   0 | 323007           |  80751.8         | 163.465  |
|  545   |   1 | Henning               |   360    |   0 |   0 | 182084           |  45520.9         | 126.447  |
|  547   |   1 | Parkers Prairie       |   524    |   0 |   0 | 418462           | 104616           | 199.648  |
|  548   |   1 | Pelican Rapids        |   931    |   0 |   0 | 534174           | 133543           | 143.441  |
|  549   |   1 | Perham                |  1405    |   0 |   0 | 949898           | 237474           | 169.021  |
|  550   |   1 | Underwood             |   523    |   0 |   0 | 208113           |  52028.2         |  99.4803 |
|  553   |   1 | New York Mills        |   720    |   0 |   0 | 311379           |  77844.7         | 108.118  |
|  561   |   1 | Goodridge             |   191    |   0 |   0 | 204278           |  51069.5         | 267.379  |
|  564   |   1 | Thief River Fall      |  1984    |   0 |   0 |      1.0446e+06  | 261151           | 131.629  |
|  577   |   1 | Willow River          |   428    |   0 |   0 | 354982           |  88745.4         | 207.349  |
|  578   |   1 | Pine City             |  1608    |   0 |   0 |      1.05675e+06 | 264187           | 164.295  |
|  581   |   1 | Edgerton              |   298    |   0 |   0 | 354946           |  88736.6         | 297.774  |
|  592   |   1 | Climax                |   136    |   0 |   0 |  70676.9         |  17669.2         | 129.921  |
|  593   |   1 | Crookston             |  1311    |   0 |   0 | 344509           |  86127.3         |  65.6959 |
|  595   |   1 | East Grand Forks      |  1707    |   0 |   0 | 444936           | 111234           |  65.1634 |
|  599   |   1 | Fertile-Beltrami      |   471    |   0 |   0 | 342789           |  85697.3         | 181.947  |
|  600   |   1 | Fisher                |   261    |   0 |   0 | 210968           |  52741.9         | 202.076  |
|  601   |   1 | Fosston               |   651    |   0 |   0 | 310453           |  77613.1         | 119.221  |
|  611   |   1 | Cyrus                 |   105    |   0 |   0 |  63495.5         |  15873.9         | 151.18   |
|  621   |   1 | Mounds View           |  9462    |   1 |   0 |      4.97505e+06 |      1.24376e+06 | 131.448  |
|  622   |   1 | North St. Paul-M      | 10900    |   1 |   0 |      5.50485e+06 |      1.37621e+06 | 126.258  |
|  623   |   1 | Roseville             |  6414    |   1 |   0 |      3.12126e+06 | 780314           | 121.658  |
|  624   |   1 | White Bear Lake       |  8204    |   1 |   0 |      3.66357e+06 | 915892           | 111.64   |
|  625   |   1 | St. Paul              | 38134    |   1 |   0 |      2.58921e+07 |      6.47302e+06 | 169.744  |
|  627   |   1 | Oklee                 |   182    |   0 |   0 | 116810           |  29202.5         | 160.454  |
|  628   |   1 | Plummer               |   141    |   0 |   0 | 121925           |  30481.1         | 216.178  |
|  630   |   1 | Red Lake Falls        |   389    |   0 |   0 | 271271           |  67817.7         | 174.338  |
|  635   |   1 | Milroy                |    63    |   0 |   0 |  73256.5         |  18314.1         | 290.7    |
|  640   |   1 | Wabasso               |   418    |   0 |   0 | 189578           |  47394.4         | 113.384  |
|  671   |   1 | Hills-Beaver Cre      |   316    |   0 |   0 | 235163           |  58790.9         | 186.047  |
|  676   |   1 | Badger                |   228    |   0 |   0 | 175028           |  43757.1         | 191.917  |
|  682   |   1 | Roseau                |  1270    |   0 |   0 | 762311           | 190578           | 150.061  |
|  690   |   1 | Warroad               |  1151    |   0 |   0 | 548172           | 137043           | 119.064  |
|  695   |   1 | Chisholm              |   722    |   0 |   0 | 307588           |  76897.1         | 106.506  |
|  696   |   1 | Ely                   |   510    |   0 |   0 | 170794           |  42698.4         |  83.7224 |
|  698   |   1 | Floodwood             |   347    |   0 |   0 | 212788           |  53197           | 153.306  |
|  700   |   1 | Hermantown            |  2029    |   0 |   0 | 716069           | 179017           |  88.2294 |
|  704   |   1 | Proctor               |  1673    |   0 |   0 | 855900           | 213975           | 127.899  |
|  707   |   1 | Nett Lake             |   122    |   0 |   0 |  80120.6         |  20030.1         | 164.181  |
|  712   |   1 | Mountain Iron-Bu      |   535    |   0 |   0 | 363178           |  90794.5         | 169.709  |
|  716   |   1 | Belle Plaine          |  1551    |   1 |   0 | 986399           | 246600           | 158.994  |
|  717   |   1 | Jordan                |  1662    |   1 |   0 | 579005           | 144751           |  87.0946 |
|  719   |   1 | Prior Lake            |  7225    |   1 |   0 |      3.29801e+06 | 824503           | 114.118  |
|  720   |   1 | Shakopee              |  6749    |   1 |   0 |      3.07658e+06 | 769145           | 113.964  |
|  721   |   1 | New Prague            |  3728    |   1 |   0 |      1.56608e+06 | 391519           | 105.021  |
|  726   |   1 | Becker                |  2740    |   0 |   0 | 861790           | 215447           |  78.6304 |
|  727   |   1 | Big Lake              |  3611    |   0 |   0 |      1.56798e+06 | 391995           | 108.556  |
|  728   |   1 | Elk River             | 12548    |   0 |   0 |      5.64639e+06 |      1.4116e+06  | 112.496  |
|  738   |   1 | Holdingford           |   976    |   0 |   0 | 415941           | 103985           | 106.542  |
|  739   |   1 | Kimball               |   741    |   0 |   0 | 449425           | 112356           | 151.628  |
|  740   |   1 | Melrose               |  1349    |   0 |   0 | 936199           | 234050           | 173.499  |
|  741   |   1 | Paynesville           |  1026    |   0 |   0 | 651159           | 162790           | 158.664  |
|  743   |   1 | Sauk Centre           |  1038    |   0 |   0 | 537203           | 134301           | 129.384  |
|  745   |   1 | Albany                |  1570    |   0 |   0 | 616924           | 154231           |  98.2362 |
|  748   |   1 | Sartell               |  3455    |   0 |   0 | 879399           | 219850           |  63.6324 |
|  750   |   1 | Cold Spring           |  2158    |   0 |   0 |      1.41684e+06 | 354209           | 164.138  |
|  756   |   1 | Blooming Prairie      |   699    |   0 |   0 | 475802           | 118950           | 170.172  |
|  763   |   1 | Medford               |   752    |   0 |   0 | 240491           |  60122.7         |  79.9505 |
|  768   |   1 | Hancock               |   246    |   0 |   0 | 111806           |  27951.4         | 113.624  |
|  769   |   1 | Morris                |   841    |   0 |   0 | 370060           |  92514.9         | 110.006  |
|  771   |   1 | Chokio-Alberta        |   164    |   0 |   0 | 137951           |  34487.7         | 210.291  |
|  775   |   1 | Kerkhoven-Murdoc      |   506    |   0 |   0 | 510938           | 127734           | 252.44   |
|  777   |   1 | Benson                |   917    |   0 |   0 | 331567           |  82891.8         |  90.3945 |
|  786   |   1 | Bertha-Hewitt         |   444    |   0 |   0 | 337087           |  84271.9         | 189.802  |
|  787   |   1 | Browerville           |   455    |   0 |   0 | 313764           |  78441           | 172.398  |
|  801   |   1 | Browns Valley         |   119    |   0 |   0 |  64806.1         |  16201.5         | 136.147  |
|  803   |   1 | Wheaton               |   382    |   0 |   0 | 239002           |  59750.4         | 156.415  |
|  811   |   1 | Wabasha               |   629    |   0 |   0 | 415097           | 103774           | 164.983  |
|  813   |   1 | Lake City             |  1285    |   0 |   0 | 800116           | 200029           | 155.665  |
|  818   |   1 | Verndale              |   425    |   0 |   0 | 255411           |  63852.7         | 150.242  |
|  820   |   1 | Sebeka                |   508    |   0 |   0 | 415932           | 103983           | 204.691  |
|  821   |   1 | Menahga               |   790    |   0 |   0 | 436673           | 109168           | 138.188  |
|  829   |   1 | Waseca                |  1793    |   0 |   0 |      1.01712e+06 | 254280           | 141.818  |
|  831   |   1 | Forest Lake           |  7145    |   1 |   0 |      4.5661e+06  |      1.14152e+06 | 159.765  |
|  832   |   1 | Mahtomedi             |  3039    |   1 |   0 |      1.04269e+06 | 260673           |  85.7758 |
|  833   |   1 | South Washington      | 17145    |   1 |   0 |      6.83124e+06 |      1.70781e+06 |  99.6099 |
|  834   |   1 | Stillwater            |  8899    |   1 |   0 |      4.78413e+06 |      1.19603e+06 | 134.401  |
|  836   |   1 | Butterfield           |   209    |   0 |   0 |  86056.9         |  21514.2         | 102.939  |
|  837   |   1 | Madelia               |   539    |   0 |   0 | 322146           |  80536.5         | 149.418  |
|  840   |   1 | St. James             |  1105    |   0 |   0 | 546171           | 136543           | 123.568  |
|  846   |   1 | Breckenridge          |   803    |   0 |   0 | 334664           |  83666.1         | 104.192  |
|  850   |   1 | Rothsay               |   187    |   0 |   0 | 129135           |  32283.7         | 172.64   |
|  852   |   1 | Campbell-Tintah       |   107    |   0 |   0 |  70203.6         |  17550.9         | 164.027  |
|  857   |   1 | Lewiston              |   768    |   0 |   0 | 321228           |  80307.1         | 104.567  |
|  858   |   1 | St. Charles           |  1012    |   0 |   0 | 352793           |  88198.3         |  87.1525 |
|  876   |   1 | Annandale             |  1639    |   0 |   0 |      1.18677e+06 | 296692           | 181.02   |
|  877   |   1 | Buffalo               |  5968    |   0 |   0 |      2.91713e+06 | 729282           | 122.199  |
|  879   |   1 | Delano                |  2288    |   0 |   0 |      1.19427e+06 | 298569           | 130.493  |
|  881   |   1 | Maple Lake            |   996    |   0 |   0 | 537970           | 134493           | 135.033  |
|  882   |   1 | Monticello            |  3920    |   0 |   0 |      1.51503e+06 | 378757           |  96.6217 |
|  883   |   1 | Rockford              |  1527    |   0 |   0 | 712324           | 178081           | 116.621  |
|  885   |   1 | St. Michael-Albe      |  4948    |   0 |   0 |      1.75448e+06 | 438620           |  88.646  |
|  891   |   1 | Canby                 |   494    |   0 |   0 | 240973           |  60243.2         | 121.95   |
|  911   |   1 | Cambridge-Isanti      |  5065    |   0 |   0 |      1.73032e+06 | 432580           |  85.4058 |
|  912   |   1 | Milaca                |  1863    |   0 |   0 |      1.02478e+06 | 256195           | 137.517  |
|  914   |   1 | Ulen-Hitterdal        |   277    |   0 |   0 | 181933           |  45483.3         | 164.2    |
| 2071   |   1 | Lake Crystal-Wel      |   788    |   0 |   0 | 653352           | 163338           | 207.282  |
| 2125   |   1 | Triton                |  1157    |   0 |   0 | 494406           | 123602           | 106.829  |
| 2134   |   1 | United South Central  |   730    |   0 |   0 | 434483           | 108621           | 148.795  |
| 2135   |   1 | Maple River           |  1125    |   0 |   0 | 829095           | 207274           | 184.243  |
| 2137   |   1 | Kingsland             |   676    |   0 |   0 | 419858           | 104964           | 155.273  |
| 2142   |   1 | St. Louis County      |  1943    |   0 |   0 |      1.71294e+06 | 428236           | 220.399  |
| 2143   |   1 | Waterville-Elysian-Mo |   900    |   0 |   0 | 383768           |  95942.1         | 106.602  |
| 2144   |   1 | Chisago Lakes Area    |  3428    |   0 |   0 |      1.67621e+06 | 419051           | 122.244  |
| 2149   |   1 | Minnewaska            |  1087    |   0 |   0 | 784104           | 196026           | 180.337  |
| 2154   |   1 | Eveleth-Gilbert       |  1233    |   0 |   0 | 639013           | 159753           | 129.565  |
| 2155   |   1 | Wadena-Deer Creek     |  1005    |   0 |   0 | 513289           | 128322           | 127.684  |
| 2159   |   1 | Buffalo Lake-Hector   |   496    |   0 |   0 | 180830           |  45207.4         |  91.144  |
| 2164   |   1 | Dilworth-Glyndon      |  1365    |   0 |   0 | 715106           | 178777           | 130.972  |
| 2165   |   1 | Hinckley-Finlays      |  1028    |   0 |   0 | 441878           | 110469           | 107.461  |
| 2167   |   1 | Lakeview              |   564    |   0 |   0 | 323928           |  80982.1         | 143.585  |
| 2168   |   1 | Nrheg                 |   945    |   0 |   0 | 396141           |  99035.3         | 104.799  |
| 2169   |   1 | Murray County         |   720    |   0 |   0 | 734543           | 183636           | 255.05   |
| 2170   |   1 | Staples-Motley        |  1363    |   0 |   0 |      1.05678e+06 | 264194           | 193.833  |
| 2171   |   1 | Kittson Central       |   278    |   0 |   0 | 275985           |  68996.4         | 248.188  |
| 2172   |   1 | Kenyon-Wanamingo      |   833    |   0 |   0 | 665267           | 166317           | 199.66   |
| 2174   |   1 | Pine River-Backu      |   963    |   0 |   0 | 584133           | 146033           | 151.644  |
| 2176   |   1 | Warren-Alvarado-      |   448    |   0 |   0 | 176671           |  44167.8         |  98.5888 |
| 2180   |   1 | Maccray               |   703    |   0 |   0 | 610690           | 152673           | 217.173  |
| 2184   |   1 | Luverne               |  1160    |   0 |   0 | 505850           | 126462           | 109.019  |
| 2190   |   1 | Yellow Medicine East  |   861    |   0 |   0 | 599994           | 149998           | 174.214  |
| 2198   |   1 | Filmore Central       |   535    |   0 |   0 | 416483           | 104121           | 194.618  |
| 2215   |   1 | Norman County East    |   359    |   0 |   0 | 238368           |  59592           | 165.994  |
| 2310   |   1 | Sibley East           |  1194    |   0 |   0 | 602419           | 150605           | 126.135  |
| 2311   |   1 | Clearbrook-Gonvick    |   473    |   0 |   0 | 428419           | 107105           | 226.437  |
| 2342   |   1 | West Central Area     |   751    |   0 |   0 | 648934           | 162233           | 216.023  |
| 2358   |   1 | Karlstad-Strandq      |   227    |   0 |   0 | 210082           |  52520.4         | 231.368  |
| 2364   |   1 | Belgrade-Brooten-Elr  |   651    |   0 |   0 | 435643           | 108911           | 167.298  |
| 2365   |   1 | G.F.W.                |   727    |   0 |   0 | 627716           | 156929           | 215.858  |
| 2396   |   1 | A.C.G.C.              |   804    |   0 |   0 | 721352           | 180338           | 224.301  |
| 2397   |   1 | Lesueur-Henderso      |  1191    |   0 |   0 | 470289           | 117572           |  98.7172 |
| 2448   |   1 | Martin County         |   770    |   0 |   0 | 381544           |  95386           | 123.878  |
| 2527   |   1 | Halstad-Hendrum       |   265    |   0 |   0 | 227930           |  56982.5         | 215.028  |
| 2534   |   1 | Olivia-Bird Isla      |   747    |   0 |   0 | 639535           | 159884           | 214.035  |
| 2536   |   1 | Granada Huntley-      |   212    |   0 |   0 | 217038           |  54259.5         | 255.941  |
| 2580   |   1 | Sandstone-Askov       |   718    |   0 |   0 | 397736           |  99434           | 138.487  |
| 2609   |   1 | Win-E-Mac             |   412    |   0 |   0 | 221015           |  55253.8         | 134.111  |
| 2683   |   1 | Greenbush-Middle Riv  |   474    |   0 |   0 | 358991           |  89747.8         | 189.341  |
| 2687   |   1 | Howard Lake-Waverly-W |  1017    |   0 |   0 | 468483           | 117121           | 115.163  |
| 2689   |   1 | Pipestone-Jasper      |  1176    |   0 |   0 | 898256           | 224564           | 190.956  |
| 2711   |   1 | Mesabi East           |   875    |   0 |   0 | 437288           | 109322           | 124.939  |
| 2753   |   1 | Long Prairie-Grey Ea  |  1136    |   0 |   0 | 742148           | 185537           | 163.325  |
| 2754   |   1 | Cedar Mountain        |   436    |   0 |   0 | 306048           |  76511.9         | 175.486  |
| 2759   |   1 | Eagle Bend-Clarissa   |   335    |   0 |   0 | 254137           |  63534.3         | 189.655  |
| 2805   |   1 | Zumbrota-Mazeppa      |  1079    |   0 |   0 | 478637           | 119659           | 110.898  |
| 2835   |   1 | Janesville-Waldo      |   554    |   0 |   0 | 441026           | 110257           | 199.019  |
| 2853   |   1 | Madison-Marietta-Lacq |   857    |   0 |   0 | 509037           | 127259           | 148.494  |
| 2854   |   1 | Ada-Borup             |   552    |   0 |   0 | 295746           |  73936.6         | 133.943  |
| 2856   |   1 | Stephen-Argyle        |   349    |   0 |   0 | 189124           |  47281.1         | 135.476  |
| 2859   |   1 | Glencoe-Silver Lake   |  1583    |   0 |   0 | 933799           | 233450           | 147.473  |
| 2860   |   1 | Blue Earth-Delavan-El |  1194    |   0 |   0 | 483166           | 120792           | 101.165  |
| 2884   |   1 | Red Rock Central      |   438    |   0 |   0 | 223938           |  55984.6         | 127.819  |
| 2886   |   1 | Glenville-Emmons      |   397    |   0 |   0 | 165283           |  41320.6         | 104.082  |
| 2887   |   1 | Mcleod West Schools   |   277    |   0 |   0 | 232060           |  58014.9         | 209.44   |
| 2888   |   1 | Clinton-Graceville-Be |   362    |   0 |   0 | 280054           |  70013.6         | 193.408  |
| 2889   |   1 | Lake Park-Audubon     |   639    |   0 |   0 | 312978           |  78244.4         | 122.448  |
| 2890   |   1 | Drsh                  |   510    |   0 |   0 | 366740           |  91685           | 179.774  |
| 2895   |   1 | Jackson County Centra |  1155    |   0 |   0 | 494600           | 123650           | 107.056  |
| 2897   |   1 | Redwood Area Schools  |  1261    |   0 |   0 | 843816           | 210954           | 167.291  |
| 2898   |   1 | Westbrook-Walnut Grov |   516    |   0 |   0 | 272960           |  68239.9         | 132.248  |
| 2899   |   1 | Plainview-Elgin-Millv |  1515    |   0 |   0 | 598096           | 149524           |  98.6957 |
| 2902   |   1 | Russell-Tyler-Ruthton |   556    |   0 |   0 | 435994           | 108998           | 196.04   |
| 3000   |   1 | New Referendum Growth |     0    |   0 |   0 |      0           |      0           |   0      |
| 3999   |   1 | Cfl V Dst Est         |  3625.95 |   0 |   0 |      0           |      0           |   0      |
| 4001   |   7 | Bluffview Montessori  |   219    |   0 |   0 |      0           |      0           |   0      |
| 4004   |   7 | Cedar Riverside Commu |   120    |   1 |   0 |      0           |      0           |   0      |
| 4011   |   7 | New Visions Charter S |   226    |   1 |   0 |      0           |      0           |   0      |
| 4012   |   7 | Emily Charter School  |    40    |   0 |   0 |      0           |      0           |   0      |
| 4019   |   7 | St. Paul Family Learn |     0    |   1 |   0 |      0           |      0           |   0      |
| 4021   |   7 | Village School Of Nor |     0    |   0 |   0 |      0           |      0           |   0      |
| 4025   |   7 | Cyber Village Academy |   135    |   1 |   0 |      0           |      0           |   0      |
| 4036   |   7 | Face To Face Academy  |    63    |   1 |   0 |      0           |      0           |   0      |
| 4040   |   7 | Martin Hughes Charter |     0    |   0 |   0 |      0           |      0           |   0      |
| 4043   |   7 | Math & Science Academ |   275    |   1 |   0 |      0           |      0           |   0      |
| 4051   |   7 | Hanska Charter School |     0    |   0 |   0 |      0           |      0           |   0      |
| 4053   |   7 | North Lakes Academy C |   335    |   1 |   0 |      0           |      0           |   0      |
| 4054   |   7 | Lacrescent Montessori |    40    |   0 |   0 |      0           |      0           |   0      |
| 4055   |   7 | Nerstrand Charter Sch |   154    |   0 |   0 |      0           |      0           |   0      |
| 4058   |   7 | Schoolcraft Learning  |   178    |   0 |   0 |      0           |      0           |   0      |
| 4060   |   7 | Mexica Multicultural  |     0    |   1 |   0 |      0           |      0           |   0      |
| 4062   |   7 | Family Academy Charte |     0    |   1 |   0 |      0           |      0           |   0      |
| 4064   |   7 | Riverway Learning Com |   107    |   0 |   0 |      0           |      0           |   0      |
| 4065   |   7 | Minnesota Business Ac |     0    |   1 |   0 |      0           |      0           |   0      |
| 4069   |   7 | Mn Institute Of Techn |     0    |   1 |   0 |      0           |      0           |   0      |
| 4071   |   7 | Native Arts Charter S |     0    |   1 |   0 |      0           |      0           |   0      |
| 4076   |   7 | Mn Academy Of Technol |     0    |   1 |   0 |      0           |      0           |   0      |
| 4082   |   7 | Bluesky               |  1500    |   1 |   0 |      0           |      0           |   0      |
| 4084   |   7 | North Shore Community |   303    |   0 |   0 |      0           |      0           |   0      |
| 4089   |   7 | New City School       |   130    |   1 |   0 |      0           |      0           |   0      |
| 4090   |   7 | Prairie Creek Communi |   170    |   0 |   0 |      0           |      0           |   0      |
| 4091   |   7 | Se Mn Arts & Technolo |   120    |   0 |   0 |      0           |      0           |   0      |
| 4095   |   7 | Trio Wolf Creek Dista |   180    |   0 |   0 |      0           |      0           |   0      |
| 4096   |   7 | Chiron Charter School |     0    |   1 |   0 |      0           |      0           |   0      |
| 4107   |   7 | Voyageurs Expe        |    80    |   0 |   0 |      0           |      0           |   0      |
| 4118   |   7 | Kaleidoscope Charter  |   408    |   0 |   0 |      0           |      0           |   0      |
| 4127   |   7 | Team Academy          |   147    |   0 |   0 |      0           |      0           |   0      |
| 4128   |   7 | Colonel Charles D. Yo |     0    |   1 |   0 |      0           |      0           |   0      |
| 4129   |   7 | Mary Mcvoy Early Lite |     0    |   1 |   0 |      0           |      0           |   0      |
| 4136   |   7 | Soul Academy Charter  |     0    |   1 |   0 |      0           |      0           |   0      |
| 4137   |   7 | Swan River Montessori |   144    |   0 |   0 |      0           |      0           |   0      |
| 4144   |   7 | Green Isle Community  |   100    |   0 |   0 |      0           |      0           |   0      |
| 4149   |   7 | Cygnus Academy        |   110    |   1 |   0 |      0           |      0           |   0      |
| 4150   |   7 | Minnesota Online High |   200    |   1 |   0 |      0           |      0           |   0      |
| 4151   |   7 | Edvisions Off Campus  |    85    |   0 |   0 |      0           |      0           |   0      |
| 4152   |   7 | Twin Cities German Im |   196    |   1 |   0 |      0           |      0           |   0      |
| 4155   |   7 | Naytauwaush Community |    96    |   0 |   0 |      0           |      0           |   0      |
| 4160   |   7 | Spectrum High School  |    60    |   1 |   0 |      0           |      0           |   0      |
| 4161   |   7 | New Discoveries Monte |   130    |   0 |   0 |      0           |      0           |   0      |
| 4162   |   7 | Southside Family Char |    94    |   1 |   0 |      0           |      0           |   0      |
| 4163   |   7 | Learning For Leadersh |   248    |   1 |   0 |      0           |      0           |   0      |
| 4164   |   7 | Laura Jeffrey Academy |   158    |   1 |   0 |      0           |      0           |   0      |
| 4165   |   7 | Elom International Sc |     0    |   1 |   0 |      0           |      0           |   0      |
| 4167   |   7 | International Spanish |   171    |   1 |   0 |      0           |      0           |   0      |
| 4168   |   7 | Glacial Hills Element |   113    |   0 |   0 |      0           |      0           |   0      |
| 4169   |   7 | Elliot Park Community |   132    |   1 |   0 |      0           |      0           |   0      |
| 4170   |   7 | Hiawatha Leadership A |   208    |   1 |   0 |      0           |      0           |   0      |
| 4171   |   7 | Noble Academy         |   425    |   1 |   0 |      0           |      0           |   0      |
| 4172   |   7 | Clarkfield Charter Sc |    80    |   0 |   0 |      0           |      0           |   0      |
| 4173   |   7 | Dunwoody Academy      |   300    |   1 |   0 |      0           |      0           |   0      |
| 4174   |   7 | Pine Grove Leadership |    20    |   0 |   0 |      0           |      0           |   0      |
| 4175   |   7 | Long Tieng Academy    |   200    |   1 |   0 |      0           |      0           |   0      |
| 4176   |   7 | Waynewood School Of H |    22    |   1 |   0 |      0           |      0           |   0      |
| 4177   |   7 | Minisinaakwaang Leade |    40    |   0 |   0 |      0           |      0           |   0      |
| 4178   |   7 | Lincoln International |   156    |   1 |   0 |      0           |      0           |   0      |
| 4180   |   7 | Emily O. Goodridge-Gr |   200    |   1 |   0 |      0           |      0           |   0      |
| 4181   |   7 | Community School Of E |   390    |   1 |   0 |      0           |      0           |   0      |
| 4182   |   7 | Quest Academy         |   207    |   1 |   0 |      0           |      0           |   0      |
| 4183   |   7 | Lionsgate Academy     |    86    |   1 |   0 |      0           |      0           |   0      |
| 4184   |   7 | Aspen Academy         |   196    |   1 |   0 |      0           |      0           |   0      |
| 4185   |   7 | Davinci Academy       |   261    |   1 |   0 |      0           |      0           |   0      |
| 4186   |   7 | Global Academy        |   400    |   1 |   0 |      0           |      0           |   0      |
| 4187   |   7 | Michael Frome Academy |    60    |   1 |   0 |      0           |      0           |   0      |
| 4188   |   7 | Cologne Academy       |   215    |   1 |   0 |      0           |      0           |   0      |
| 4189   |   7 | Bright Water Elementa |   102    |   1 |   0 |      0           |      0           |   0      |
| 4191   |   7 | Kipp Minnesota Charte |   170    |   1 |   0 |      0           |      0           |   0      |
| 4192   |   7 | Best Academy          |   265    |   1 |   0 |      0           |      0           |   0      |
| 4999   |   7 | Cfl V Cht Est         | -1111.75 |   0 |   0 |      0           |      0           |   0      |



labeled_formulas: H=(B*D)*I
H=(D+F)*I
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_456981___xlsx_76d2d051288e563165606ba9a2c391783186a520.xlsx___line_361