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 |
|----:|:-----------------------------------------------------|-----:|----:|:--------|------:|----:|-----:|----:|-----:|----:|-----:|----:|-----:|
|   1 | Air Freshner Spray  (320 ml/Lemon)                   |  260 |  12 | bottles |  3120 |   2 |  520 |   3 |  780 |   4 | 1040 |   3 |  780 |
|   2 | Alcohol 70%  500 ml                                  |  115 |  20 | bottles |  2300 |   5 |  575 |   5 |  575 |   5 |  575 |   5 |  575 |
|   3 | Ballpen, 50's black/blue,(matrix 0G-5)               |  430 |   4 | boxes   |  1720 |   1 |  430 |   1 |  430 |   1 |  430 |   1 |  430 |
|   4 | Band aid, water Proof                                |  100 |   6 | boxes   |   600 |   1 |  100 |   2 |  200 |   1 |  100 |   2 |  200 |
|   5 | Battery AA                                           |   35 |  20 | pcs     |   700 |   4 |  140 |   4 |  140 |   9 |  315 |   3 |  105 |
|   6 | Battery AAA                                          |   35 |  30 | pcs     |  1050 |   5 |  175 |   5 |  175 |  15 |  525 |   5 |  175 |
|   7 | Baygon 500 ml                                        |  319 |   8 | bottles |  2552 |   2 |  638 |   2 |  638 |   2 |  638 |   2 |  638 |
|   8 | Povidone Iodine,120 ml                               |   95 |  20 | bottles |  1900 |   5 |  475 |   5 |  475 |   5 |  475 |   5 |  475 |
|   9 | Book Paper,sub20,70g/m2,short                        |  240 |  25 | reams   |  6000 |   5 | 1200 |   7 | 1680 |   6 | 1440 |   7 | 1680 |
|  10 | Book Paper,sub20,70g/m2,long                         |  280 |  40 | reams   | 11200 |  10 | 2800 |  10 | 2800 |  10 | 2800 |  10 | 2800 |
|  11 | Envelope, brown, (Long)                              |    7 | 160 | pcs     |  1120 |  30 |  210 |  40 |  280 |  50 |  350 |  40 |  280 |
|  12 | Envelope, brown, (Short)                             |    6 | 120 | pcs     |   720 |  30 |  180 |  30 |  180 |  30 |  180 |  30 |  180 |
|  13 | Broom (Walis Tambo)                                  |  195 |   2 | pcs     |   390 |   0 |    0 |   1 |  195 |   0 |    0 |   1 |  195 |
|  14 | Walis Tingting                                       |   35 |   4 | pcs     |   140 |   0 |    0 |   2 |   70 |   0 |    0 |   2 |   70 |
|  15 | Ink refill for brotherT710,black/cyan/magenta/yellow |  560 |   8 | bottles |  4480 |   0 |    0 |   0 |    0 |   4 | 2240 |   4 | 2240 |
|  16 | Harddrive,external,1TB                               | 7000 |   1 | pc      |  7000 |   0 |    0 |   1 | 7000 |   0 |    0 |   0 |    0 |
|  17 | Correction pen, metal tip                            |   65 |   4 | pcs     |   260 |   1 |   65 |   1 |   65 |   1 |   65 |   1 |   65 |
|  18 | Correction Tape                                      |   55 |   6 | pcs     |   330 |   2 |  110 |   1 |   55 |   1 |   55 |   2 |  110 |
|  19 | Dipper                                               |   55 |   2 | pcs     |   110 |   2 |  110 |   0 |    0 |   0 |    0 |   0 |    0 |
|  20 | Disposable gloves, 8 size, large                     | 1000 |   8 | boxes   |  8000 |   2 | 2000 |   2 | 2000 |   2 | 2000 |   2 | 2000 |
|  21 | Disposable clinical face mask (50's                  |  390 |   8 | boxes   |  3120 |   2 |  780 |   2 |  780 |   2 |  780 |   2 |  780 |
|  22 | Zonrox bleach                                        |  260 |   2 | gallon  |   520 |   1 |  260 |   0 |    0 |   1 |  260 |   0 |    0 |
|  23 | Doormat, cloth                                       |   65 |   8 | pcs     |   520 |   2 |  130 |   0 |    0 |   3 |  195 |   3 |  195 |
|  24 | Dust pan aluminum                                    |  270 |   2 | pc      |   540 |   2 |  540 |   0 |    0 |   0 |    0 |   0 |    0 |
|  25 | Elastic Bandage 3"                                   |  105 |  20 | pcs     |  2100 |   5 |  525 |   5 |  525 |   5 |  525 |   5 |  525 |
|  26 | Fastener Plastic Coated                              |   55 |   6 | boxes   |   330 |   2 |  110 |   1 |   55 |   1 |   55 |   2 |  110 |
|  27 | Fax Paper                                            |  115 |   5 | roll    |   575 |   1 |  115 |   1 |  115 |   1 |  115 |   2 |  230 |
|  28 | Mop  (Tornedo map)                                   | 1600 |   1 | pcs     |  1600 |   1 | 1600 |   0 |    0 |   0 |    0 |   0 |    0 |
|  29 | Glass Cleaner (Kiwi) 500ml w/ spray                  |  260 |   4 | bottles |  1040 |   1 |  260 |   1 |  260 |   1 |  260 |   1 |  260 |
|  30 | Glue, 130 g (elmer's}                                |   59 |   4 | bottles |   236 |   1 |   59 |   1 |   59 |   1 |   59 |   1 |   59 |
|  31 | Hydrogen Peroxide 120 ml                             |   70 |  20 | bottles |  1400 |   5 |  350 |   5 |  350 |   5 |  350 |   5 |  350 |
|  32 | Dish Washing Liquid 250 ml                           |  105 |  10 | bottles |  1050 |   3 |  315 |   2 |  210 |   3 |  315 |   2 |  210 |
|  33 | Leukoplast 2.5 cm x 5                                |   90 |   4 | packs   |   360 |   1 |   90 |   1 |   90 |   1 |   90 |   1 |   90 |
|  34 | Record Book,regular size 500 p                       |  130 |  30 | pcs     |  3900 |   5 |  650 |  10 | 1300 |   7 |  910 |   8 | 1040 |
|  35 | disinfectant concentrate,120 ml,pine scent           |  285 |   8 | bottles |  2280 |   2 |  570 |   2 |  570 |   2 |  570 |   2 |  570 |
|  36 | Disinfectant spray,crisp linen scent 120 ml          |  360 |  12 | bottles |  4320 |   3 | 1080 |   3 | 1080 |   3 | 1080 |   3 | 1080 |
|  37 | Mailing Envelope White Long                          |  312 |   1 | box     |   312 |   0 |    0 |   0 |    0 |   1 |  312 |   0 |    0 |
|  38 | Muriatic Acid                                        |  400 |   1 | gallon  |   400 |   1 |  400 |   0 |    0 |   0 |    0 |   0 |    0 |
|  39 | Oxalic                                               |   80 |   2 | kls     |   160 |   1 |   80 |   0 |    0 |   1 |   80 |   0 |    0 |
|  40 | Paper Clamp 1/2"                                     |   25 |  15 | pcs     |   375 |   5 |  125 |   5 |  125 |   5 |  125 |   0 |    0 |
|  41 | Paper Clamp 2"                                       |   35 |  15 | pcs     |   525 |   5 |  175 |   5 |  175 |   5 |  175 |   0 |    0 |
|  42 | Paper Clip, plastic coated,small                     |   35 |   4 | boxes   |   140 |   1 |   35 |   1 |   35 |   1 |   35 |   1 |   35 |
|  43 | Paper Clip, plastic coated,big                       |   45 |   4 | boxes   |   180 |   1 |   45 |   1 |   45 |   1 |   45 |   1 |   45 |
|  44 | Pencil, No.2, (Mongol)                               |   80 |   2 | boxes   |   160 |   1 |   80 |   0 |    0 |   1 |   80 |   0 |    0 |
|  45 | Photo Paper, glossy ,A4,20's                         |  175 |   1 | packs   |   175 |   1 |  175 |   0 |    0 |   0 |    0 |   0 |    0 |
|  46 | Folder,pressboard, blue,green,Long                   |   30 | 140 | pcs     |  4200 |  20 |  600 |  10 |  300 |  50 | 1500 |  60 | 1800 |
|  47 | Push Pins                                            |   55 |   2 | boxes   |   110 |   1 |   55 |   0 |    0 |   1 |   55 |   0 |    0 |
|  48 | Soap, family size                                    |   55 |  10 | pcs     |   550 |   2 |  110 |   2 |  110 |   2 |  110 |   4 |  220 |
|  49 | Scissor Stainless #8                                 |  100 |   1 | pc      |   100 |   0 |    0 |   0 |    0 |   1 |  100 |   0 |    0 |
|  50 | Scotch Brite w/ Foam                                 |   48 |  10 | pcs     |   480 |   2 |   96 |   3 |  144 |   2 |   96 |   3 |  144 |
|  51 | Tape, scotch 1" (Crocodile)                          |   35 |  15 | pcs     |   525 |   5 |  175 |   0 |    0 |   0 |    0 |  10 |  350 |
|  52 | Sign Pen,0.5,black/blue/violet (My-gel               |  470 |  16 | boxes   |  7520 |   4 | 1880 |   0 |    0 |   6 | 2820 |   6 | 2820 |
|  53 | Stabilo Assorted Color                               |   45 |   8 | pcs     |   360 |   2 |   90 |   2 |   90 |   2 |   90 |   2 |   90 |
|  54 | Staple  w/ built in remover                          |  370 |   2 | pcs     |   740 |   0 |    0 |   1 |  370 |   0 |    0 |   1 |  370 |
|  55 | Staple Wire # 35                                     |   65 |   8 | boxes   |   520 |   2 |  130 |   1 |   65 |   2 |  130 |   3 |  195 |
|  56 | Soap, detergent                                      |   35 |  12 | pcs     |   420 |   3 |  105 |   3 |  105 |   3 |  105 |   3 |  105 |
|  57 | Soap,powder detergent sachet 70g                     |   18 |  39 | pcs     |   702 |  10 |  180 |   9 |  162 |  10 |  180 |  10 |  180 |
|  58 | Toilet Brush                                         |   80 |   2 | pcs     |   160 |   2 |  160 |   0 |    0 |   0 |    0 |   0 |    0 |
|  59 | Uninterupted Power Supply,500VA                      | 3000 |   1 | pc      |  3000 |   1 | 3000 |   0 |    0 |   0 |    0 |   0 |    0 |
|  60 | Whiteboard pen,black/blue (Pilot)                    |   75 |   8 | pcs     |   600 |   2 |  150 |   2 |  150 |   2 |  150 |   2 |  150 |



label: H=G*C
J=I*C
L=K*C
N=M*C
labeled_formulas: H=G*C
J=I*C
L=K*C
N=M*C
output: {"Arithmetic-Relationship": ["H=G*C", "J=I*C", "L=K*C", "N=M*C"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_748901___xlsx_219d3299044d1fd9f61cd38a3be7b2b3bfbdc03f.xlsx___line_205