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 |
|:------------------------------|------:|------:|:------|:----|:-----|------:|----:|------:|
| Abbotsford-Mission            | 12879 |  7339 | 4297  | --- | 644  | 25159 | 135 | 25294 |
| Abbotsford South              | 11673 |  6297 | 3338  | --- | 942  | 22250 | 174 | 22424 |
| Abbotsford West               | 11618 |  6474 | 2280  | 149 | 516  | 21037 | 150 | 21187 |
| Boundary-Similkameen          |  9513 |  7275 | 2274  | --- | 3165 | 22227 |  98 | 22325 |
| Burnaby-Deer Lake             |  6491 |  8747 | 2209  | --- | 818  | 18265 | 137 | 18402 |
| Burnaby-Edmonds               |  6404 | 10827 | 2728  | --- | ---  | 19959 | 156 | 20115 |
| Burnaby-Lougheed              |  8391 | 10911 | 3127  | 129 | 145  | 22703 | 188 | 22891 |
| Burnaby North                 |  9290 | 11447 | 2830  | --- | ---  | 23567 | 162 | 23729 |
| Cariboo-Chilcotin             |  8520 |  3801 | 2174  | --- | ---  | 14495 | 104 | 14599 |
| Cariboo North                 |  6359 |  4430 | 919   | --- | 747  | 12455 |  58 | 12513 |
| Chilliwack                    |  9280 |  6207 | 3277  | --- | 402  | 19166 | 138 | 19304 |
| Chilliwack-Kent               | 11841 |  7273 | 3335  | --- | ---  | 22449 | 146 | 22595 |
| Columbia River-Revelstoke     |  6620 |  5248 | 1708  | 154 | 840  | 14570 |  66 | 14636 |
| Coquitlam-Burke Mountain      | 10388 | 10301 | 2771  | --- | ---  | 23460 | 174 | 23634 |
| Coquitlam-Maillardville       |  8519 | 11438 | 2467  | 175 | ---  | 22599 | 100 | 22699 |
| Courtenay-Comox               | 10697 | 10886 | 5351  | --- | 2201 | 29135 |  77 | 29212 |
| Cowichan Valley               |  8400 |  9603 | 11475 | 393 | 771  | 30642 | 100 | 30742 |
| Delta North                   |  9319 | 11465 | 2697  | --- | ---  | 23481 | 123 | 23604 |
| Delta South                   | 11123 |  5228 | 2349  | --- | 6525 | 25225 |  68 | 25293 |
| Esquimalt-Metchosin           |  7055 | 11816 | 6339  | 171 | 167  | 25548 |  88 | 25636 |
| Fraser-Nicola                 |  6597 |  6005 | 2517  | --- | 598  | 15717 |  59 | 15776 |
| Kamloops-North Thompson       | 12001 |  7538 | 5111  | --- | 187  | 24837 | 202 | 25039 |
| Kamloops-South Thompson       | 15465 |  6072 | 5785  | 295 | 109  | 27726 | 146 | 27872 |
| Kelowna-Lake Country          | 15286 |  5345 | 4951  | --- | ---  | 25582 | 149 | 25731 |
| Kelowna-Mission               | 15399 |  5720 | 3836  | --- | 1976 | 26931 | 111 | 27042 |
| Kelowna West                  | 15674 |  6672 | 3628  | --- | 570  | 26544 | 117 | 26661 |
| Kootenay East                 |  9666 |  5069 | 1926  | 425 | ---  | 17086 | 101 | 17187 |
| Kootenay West                 |  4547 | 11164 | 2976  | --- | ---  | 18687 |  80 | 18767 |
| Langford-Juan de Fuca         |  6544 | 13224 | 4795  | 262 | 242  | 25067 | 109 | 25176 |
| Langley                       | 10755 |  8384 | 3699  | 166 | 1221 | 24225 | 129 | 24354 |
| Langley East                  | 16348 |  8820 | 4968  | 448 | ---  | 30584 | 223 | 30807 |
| Maple Ridge-Mission           | 10663 | 10988 | 3467  | 145 | 934  | 26197 | 125 | 26322 |
| Maple Ridge-Pitt Meadows      | 10428 | 12045 | 3329  | --- | 1084 | 26886 | 176 | 27062 |
| Mid Island-Pacific Rim        |  6578 | 12556 | 5206  | 298 | 964  | 25602 | 127 | 25729 |
| Nanaimo                       |  8912 | 12746 | 5454  | 277 | ---  | 27389 | 134 | 27523 |
| Nanaimo-North Cowichan        |  7380 | 12275 | 6244  | --- | 274  | 26173 | 178 | 26351 |
| Nechako Lakes                 |  5307 |  2909 | 878   | 438 | 226  |  9758 |  72 |  9830 |
| Nelson-Creston                |  5087 |  7685 | 5130  | --- | 313  | 18215 |  67 | 18282 |
| New Westminster               |  5870 | 14377 | 6939  | 199 | 298  | 27683 | 110 | 27793 |
| North Coast                   |  3079 |  5243 | 826   | --- | ---  |  9148 |  44 |  9192 |
| North Island                  |  9148 | 12255 | 3846  | --- | 543  | 25792 |  87 | 25879 |
| North Vancouver-Lonsdale      | 10373 | 12361 | 4148  | 316 | ---  | 27198 | 134 | 27332 |
| North Vancouver-Seymour       | 13194 |  9808 | 5208  | 247 | ---  | 28457 | 134 | 28591 |
| Oak Bay-Gordon Head           |  6952 |  6912 | 15257 | --- | 125  | 29246 |  88 | 29334 |
| Parksville-Qualicum           | 14468 |  9189 | 8157  | --- | 245  | 32059 | 159 | 32218 |
| Peace River North             |  9707 |   973 | ---   | --- | 3958 | 14638 |  63 | 14701 |
| Peace River South             |  6634 |  2102 | ---   | --- | ---  |  8736 | 132 |  8868 |
| Penticton                     | 14470 |  7874 | 5061  | --- | ---  | 27405 | 103 | 27508 |
| Port Coquitlam                |  7582 | 14079 | 3237  | 248 | 88   | 25234 | 133 | 25367 |
| Port Moody-Coquitlam          |  9910 | 11754 | 2985  | --- | ---  | 24649 | 135 | 24784 |
| Powell River-Sunshine Coast   |  6602 | 13646 | 6505  | --- | 160  | 26913 |  78 | 26991 |
| Prince George-Mackenzie       | 10725 |  5942 | 2109  | --- | ---  | 18776 | 143 | 18919 |
| Prince George-Valemount       | 11189 |  5683 | 2353  | --- | ---  | 19225 | 154 | 19379 |
| Richmond North Centre         |  7916 |  5135 | 1579  | --- | 453  | 15083 | 150 | 15233 |
| Richmond-Queensborough        |  8218 |  8084 | 2524  | --- | 1012 | 19838 | 172 | 20010 |
| Richmond South Centre         |  6914 |  5666 | 1561  | --- | ---  | 14141 | 173 | 14314 |
| Richmond-Steveston            | 10332 |  8542 | 2833  | --- | ---  | 21707 | 192 | 21899 |
| Saanich North and the Islands |  9321 | 10764 | 14775 | --- | 364  | 35224 |  79 | 35303 |
| Saanich South                 |  8716 | 11921 | 7129  | 177 | 130  | 28073 | 121 | 28194 |
| Shuswap                       | 14829 |  7161 | 4175  | 410 | ---  | 26575 | 103 | 26678 |
| Skeena                        |  6772 |  5613 | ---   | --- | 580  | 12965 |  73 | 13038 |
| Stikine                       |  3531 |  4748 | ---   | --- | 834  |  9113 |  62 |  9175 |
| Surrey-Cloverdale             | 11918 |  9763 | 3091  | 279 | ---  | 25051 | 178 | 25229 |
| Surrey-Fleetwood              |  7413 | 11085 | 2190  | --- | ---  | 20688 | 160 | 20848 |
| Surrey-Green Timbers          |  5056 |  8945 | 1112  | --- | 232  | 15345 | 163 | 15508 |
| Surrey-Guildford              |  7015 |  9262 | 1840  | --- | 462  | 18579 | 133 | 18712 |
| Surrey-Newton                 |  5100 |  9744 | 1171  | --- | 988  | 17003 | 122 | 17125 |
| Surrey-Panorama               | 10064 | 12226 | 1620  | --- | 132  | 24042 | 203 | 24245 |
| Surrey South                  | 13509 |  8718 | 3141  | 311 | 841  | 26520 | 210 | 26730 |
| Surrey-Whalley                |  5293 | 10315 | 1893  | --- | 96   | 17597 | 157 | 17754 |
| Surrey-White Rock             | 14101 |  8648 | 4574  | --- | 950  | 28273 | 126 | 28399 |
| Vancouver-Fairview            |  9436 | 16035 | 4007  | --- | 149  | 29627 | 191 | 29818 |
| Vancouver-False Creek         | 10370 |  9955 | 3880  | 213 | 181  | 24599 | 184 | 24783 |
| Vancouver-Fraserview          |  9985 | 11487 | 1826  | 179 | 174  | 23651 | 253 | 23904 |
| Vancouver-Hastings            |  5160 | 14351 | 4222  | --- | 203  | 23936 | 188 | 24124 |
| Vancouver-Kensington          |  7236 | 12504 | 2580  | --- | 181  | 22501 | 230 | 22731 |
| Vancouver-Kingsway            |  5377 | 12031 | 1848  | --- | 589  | 19845 | 174 | 20019 |
| Vancouver-Langara             | 10047 |  8057 | 2894  | --- | 172  | 21170 | 141 | 21311 |
| Vancouver-Mount Pleasant      |  3917 | 15962 | 4136  | --- | 426  | 24441 | 255 | 24696 |
| Vancouver-Point Grey          |  8414 | 14195 | 2604  | --- | 161  | 25374 | 102 | 25476 |
| Vancouver-Quilchena           | 12464 |  6244 | 3301  | 265 | ---  | 22274 | 116 | 22390 |
| Vancouver-West End            |  5064 | 13420 | 3059  | 352 | 116  | 22011 |  87 | 22098 |
| Vernon-Monashee               | 13625 |  8355 | 6139  | 341 | ---  | 28460 | 105 | 28565 |
| Victoria-Beacon Hill          |  4689 | 16057 | 9194  | 190 | 137  | 30267 | 115 | 30382 |
| Victoria-Swan Lake            |  4005 | 13531 | 7491  | --- | 207  | 25234 | 175 | 25409 |
| West Vancouver-Capilano       | 13596 |  5622 | 4575  | --- | ---  | 23793 | 172 | 23965 |
| West Vancouver-Sea to Sky     | 10449 |  6532 | 6947  | 186 | 143  | 24257 | 100 | 24357 |



label: I=G+H
labeled_formulas: I=G+H
output: {"Arithmetic-Relationship": ["I=G+H"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_230097___xlsx_bd3375610344c4942e35ff2647c26a35d99d05d6.xlsx___line_563