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                  |
|----:|:----------------------------------------------------------------|------:|------:|------:|------:|---------:|------:|------:|:-------------------|
|   1 | CANARA BANK                                                     | 32159 |    60 | 15070 | 17029 | 52.9525  |  5635 | 11394 | 66.909389864349052 |
|   2 | STATE BANK OF INDIA                                             | 43967 |     0 | 20642 | 23325 | 53.0512  | 15363 |  7962 | 34.135048231511256 |
|   3 | UNION BANK OF INDIA                                             | 16936 |    31 |  6327 | 10578 | 62.4587  |  6442 |  4136 | 39.100018907165818 |
|   4 | BANK OF BARODA                                                  |  9399 |    26 |  5072 |  4301 | 45.7602  |  1653 |  2648 | 61.567077423854919 |
|   5 | RRB KARNATAKA GB                                                |  7557 |    21 |  3702 |  3834 | 50.7344  |  1651 |  2183 | 56.937923839332292 |
|   6 | BANK OF INDIA                                                   |  2936 |     0 |   285 |  2651 | 90.2929  |   727 |  1924 | 72.576386269332332 |
|   7 | RRB KARNATAKA VIKAS GB                                          |  7966 |    12 |  4954 |  3000 | 37.6601  |  1087 |  1913 | 63.766666666666673 |
|   8 | KARNATAKA BANK LTD                                              | 13409 |    57 | 11111 |  2241 | 16.7127  |  1092 |  1149 | 51.271753681392241 |
|   9 | CENTRAL BANK OF INDIA                                           |  1722 |     1 |   709 |  1012 | 58.7689  |    95 |   917 | 90.612648221343875 |
|  10 | INDIAN BANK                                                     |  4379 |     1 |  2734 |  1644 | 37.5428  |   802 |   842 | 51.216545012165447 |
|  11 | BANK OF MAHARASHTRA                                             |   974 |     2 |   433 |   539 | 55.3388  |   165 |   374 | 69.387755102040813 |
|  12 | INDIAN OVERSEAS BANK                                            |  2997 |    33 |  2266 |   698 | 23.29    |   352 |   346 | 49.570200573065904 |
|  13 | IDBI BANK                                                       |  1293 |     3 |   855 |   435 | 33.6427  |   162 |   273 | 62.758620689655174 |
|  14 | PUNJAB NATIONAL BANK                                            |  1115 |     4 |   749 |   362 | 32.4664  |   160 |   202 | 55.80110497237569  |
|  15 | KOTAK MAHINDRA BANK LIMITED                                     |   989 |    14 |   599 |   376 | 38.0182  |   224 |   152 | 40.425531914893611 |
|  16 | UCO BANK                                                        |   877 |    14 |   389 |   474 | 54.0479  |   326 |   148 | 31.223628691983123 |
|  17 | PUNJAB AND SIND BANK                                            |   293 |     0 |   130 |   163 | 55.6314  |    85 |    78 | 47.852760736196323 |
|  18 | HDFC BANK                                                       |  1308 |     0 |  1052 |   256 | 19.5719  |   181 |    75 | 29.296875          |
|  19 | FEDERAL BANK                                                    |   702 |     8 |   580 |   114 | 16.2393  |    50 |    64 | 56.140350877192979 |
|  20 | FINCARE SMALL FINANCE BANK                                      |    18 |     1 |     3 |    14 | 77.7778  |     1 |    13 | 92.857142857142861 |
|  21 | ESAF SMALL FINANCE BANK                                         |    50 |     0 |    35 |    15 | 30       |     3 |    12 | 80                 |
|  22 | UJJIVAN SMALL FINANCE BANK                                      |   697 |     3 |   682 |    12 |  1.72166 |     3 |     9 | 75                 |
|  23 | KARUR VYSYA BANK LTD                                            |   642 |     3 |   628 |    11 |  1.7134  |     5 |     6 | 54.54545454545454  |
|  24 | AXIS BANK                                                       |   731 |    17 |   686 |    28 |  3.83037 |    23 |     5 | 17.857142857142858 |
|  25 | JAMMU & KASHMIR BANK LTD                                        |    79 |     0 |    67 |    12 | 15.1899  |     8 |     4 | 33.333333333333329 |
|  26 | TAMILNAD MERCANTILE BANK LTD                                    |   230 |     1 |   226 |     3 |  1.30435 |     1 |     2 | 66.666666666666657 |
|  27 | LAKSHMI VILAS BANK                                              |   163 |     3 |   160 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  28 | ANNAPURNA FINANCE PVT. LTD.                                     |     4 |     0 |     4 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  29 | CREDIT ACCESS GRAMEEN LIMITED                                   |     2 |     0 |     2 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  30 | DCB BANK LTD.                                                   |     3 |     0 |     3 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  31 | FUNDS TIGER                                                     |     5 |     0 |     5 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  32 | HEAD OFFICE  MANDYA DCC BANK LTD.                               |    51 |     0 |    51 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  33 | ICICI BANK                                                      |   212 |     8 |   204 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  34 | IDFC FIRST BANK LTD.                                            |    10 |     0 |    10 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  35 | INDUSIND BANK                                                   |    97 |     1 |    96 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  36 | JANA SMALL FINANCE BANK                                         |    54 |     0 |    48 |     6 | 11.1111  |     6 |     0 | 0                  |
|  37 | KOLAR & CHIKBALLAPUR D.C.C. BANK LTD.                           |   328 |     0 |   328 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  38 | MUTHOOT MICROFIN LTD                                            |     3 |     0 |     3 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  39 | RAICHUR DISTRICT CENTER CO-OPERATIVE BANK LTD                   |   132 |     0 |   129 |     3 |  2.27273 |     3 |     0 | 0                  |
|  40 | RBL BANK LIMITED                                                |    27 |     2 |    25 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  41 | SCDCC BANK LTD                                                  |   316 |     0 |   136 |   180 | 56.962   |   180 |     0 | 0                  |
|  42 | SOUTH INDIAN BANK                                               |   315 |     3 |   293 |    19 |  6.03175 |    19 |     0 | 0                  |
|  43 | STANDARD CHARTERED BANK                                         |     3 |     0 |     3 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  44 | THE SARASWAT CO-OPERATIVE BANK LTD                              |    13 |     0 |    13 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  45 | YES BANK LTD.                                                   |    74 |     0 |    74 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  46 | CSB BANK LTD                                                    |     4 |     0 |     3 |     1 | 25       |     1 |     0 | 0                  |
|  47 | Aryavart Bank                                                   |     1 |     0 |     1 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  48 | Bandhan Bank                                                    |     9 |     0 |     9 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  49 | Central Co-operative Bank                                       |     1 |     0 |     1 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  50 | Chikmagaluru DCC Bank Ltd                                       |     8 |     0 |     8 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  51 | DCC Bank Ltd., Bidar                                            |    83 |     0 |    83 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  52 | Midland Microfin Limited                                        |     1 |     0 |     1 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  53 | RRB Tamil Nadu GB                                               |     1 |     0 |     1 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  54 | RRB Andra Pragathi Bank                                         |     4 |     0 |     4 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  55 | SHARE Microfin Limited                                          |     1 |     0 |     1 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  56 | Svamaan Financial Service Pvt Ltd                               |     3 |     0 |     3 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  57 | The Vijayapur District Central Co-Operative Bank Ltd,Vijayapura |    85 |     0 |    85 |     0 |  0       |     0 |     0 | #DIV/0!            |
|  58 | Blank Bank                                                      | 44189 | 44189 |     0 |     0 |  0       |     0 |     0 | #DIV/0!            |



label: F=H+I
labeled_formulas: F=H+I
output: {"Arithmetic-Relationship": ["F=H+I"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_319637___xlsx_fb8a0767cc4847305ebdd36b7b052707c7a98e36.xlsx___line_599