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 freshener, spray, 320ml, lemon (Glade)         |  260 |   7 | bottles |  1820 |   2 |  520 |   3 |  780 |   0 |    0 |   2 |  520 |
|   2 | Alcohol,  70% 500ml                                |  115 |  15 | btls.   |  1725 |   3 |  345 |   4 |  460 |   4 |  460 |   4 |  460 |
|   3 | Ballpen, ballpoint, black, (HBW)                   |   95 |   4 | boxes   |   380 |   2 |  190 |   1 |   95 |   1 |   95 |   0 |    0 |
|   4 | Ballpen, ballpoint, blue, (HBW)                    |   95 |   4 | boxes   |   380 |   2 |  190 |   1 |   95 |   1 |   95 |   0 |    0 |
|   5 | Battery, 9V                                        |  155 |   1 | pcs.    |   155 |   1 |  155 |   0 |    0 |   0 |    0 |   0 |    0 |
|   6 | Battery, AA, 1.5v                                  |   35 |   2 | pcs.    |    70 |   2 |   70 |   0 |    0 |   0 |    0 |   0 |    0 |
|   7 | Battery, AAA, 1.5v                                 |   35 |   2 | pcs.    |    70 |   2 |   70 |   0 |    0 |   0 |    0 |   0 |    0 |
|   8 | Binder clip 1", (4ft)                              |   70 |   5 | pcs.    |   350 |   1 |   70 |   2 |  140 |   1 |   70 |   1 |   70 |
|   9 | Binder clip, 3/4 (4ft)                             |   45 |   5 | pcs.    |   225 |   2 |   90 |   1 |   45 |   1 |   45 |   1 |   45 |
|  10 | Bookpaper, sub20, 70g/m2, (Hard Copy)              |  250 |  10 | rims    |  2500 |   2 |  500 |   3 |  750 |   4 | 1000 |   1 |  250 |
|  11 | Bookpaper, sub20, 70g/m2, long (Hard Copy)         |  280 |  45 | rims    | 12600 |   5 | 1400 |  15 | 4200 |  15 | 4200 |  10 | 2800 |
|  12 | Broom, soft                                        |  195 |   1 | pc      |   195 |   0 |    0 |   1 |  195 |   0 |    0 |   0 |    0 |
|  13 | Correction tape, big (Joy)                         |   55 |  15 | pcs.    |   825 |   5 |  275 |   5 |  275 |   0 |    0 |   5 |  275 |
|  14 | Cutter blade                                       |  130 |   1 | box     |   130 |   1 |  130 |   0 |    0 |   0 |    0 |   0 |    0 |
|  15 | Desk organizer                                     |  500 |   2 | pcs.    |  1000 |   0 |    0 |   1 |  500 |   1 |  500 |   0 |    0 |
|  16 | Dishwashing liquid, 250ml., antibac (Joy)          |  105 |  24 | bottles |  2520 |   6 |  630 |   9 |  945 |   6 |  630 |   3 |  315 |
|  17 | Doormat, cloth                                     |   65 |  10 | pcs.    |   650 |   5 |  325 |   2 |  130 |   2 |  130 |   1 |   65 |
|  18 | Envelope, brown, long                              |    7 |  25 | pcs.    |   175 |   8 |   56 |   5 |   35 |   7 |   49 |   5 |   35 |
|  19 | Envelope, brown, short                             |    6 |  25 | pcs.    |   150 |   8 |   48 |   5 |   30 |   7 |   42 |   5 |   30 |
|  20 | Envelope, Expanding w/ garter, blue, long          |   35 |  20 | pcs.    |   700 |   5 |  175 |   5 |  175 |   5 |  175 |   5 |  175 |
|  21 | Envelope, Expanding w/ garter, blue, short         |   25 |  20 | pcs.    |   500 |   5 |  125 |   5 |  125 |   5 |  125 |   5 |  125 |
|  22 | Floor mop, wood handle                             |  260 |   1 | pc      |   260 |   1 |  260 |   0 |    0 |   0 |    0 |   0 |    0 |
|  23 | Folder, long ivory, 14 pts.                        |    7 |  25 | pcs.    |   175 |   5 |   35 |   5 |   35 |  10 |   70 |   5 |   35 |
|  24 | Folder, pressboard, blue/green, long               |   28 |  25 | pcs.    |   700 |   5 |  140 |   5 |  140 |  10 |  280 |   5 |  140 |
|  25 | Folder, short ivory, 14 pts.                       |    6 |  25 | pcs.    |   150 |   5 |   30 |   5 |   30 |  10 |   60 |   5 |   30 |
|  26 | Garbage bag,biodegradable, 10's, big               |  125 |  10 | packs   |  1250 |   3 |  375 |   4 |  500 |   2 |  250 |   1 |  125 |
|  27 | Garbage bag,biodegradable, 10's, small             |   65 |  10 | packs   |   650 |   3 |  195 |   3 |  195 |   2 |  130 |   2 |  130 |
|  28 | Glass cleaner, 500ml., w/ spray                    |  260 |   1 | btl.    |   260 |   1 |  260 |   0 |    0 |   0 |    0 |   0 |    0 |
|  29 | Hard drive, external, 2TB                          | 9000 |   1 | pc      |  9000 |   0 |    0 |   0 |    0 |   0 |    0 |   1 | 9000 |
|  30 | Ink refill for Brother BT 5000 (Cyan)              |  560 |   6 | pcs.    |  3360 |   1 |  560 |   2 | 1120 |   2 | 1120 |   1 |  560 |
|  31 | Ink refill for Brother BT 5000 (Magenta)           |  560 |   6 | pcs.    |  3360 |   1 |  560 |   2 | 1120 |   2 | 1120 |   1 |  560 |
|  32 | Ink refill for Brother BT 5000 (Yellow)            |  560 |   6 | pcs.    |  3360 |   1 |  560 |   2 | 1120 |   1 |  560 |   2 | 1120 |
|  33 | Ink refill for Brother BT D60  (Black)             |  560 |   8 | pcs.    |  4480 |   2 | 1120 |   2 | 1120 |   2 | 1120 |   2 | 1120 |
|  34 | Ink refill for Epson L360 ,(Cyan) 664              |  430 |   6 | pcs.    |  2580 |   1 |  430 |   2 |  860 |   2 |  860 |   1 |  430 |
|  35 | Ink refill for Epson L360, (Black) 664             |  430 |   8 | pcs.    |  3440 |   1 |  430 |   2 |  860 |   4 | 1720 |   1 |  430 |
|  36 | Ink refill for Epson L360, (Magenta) 664           |  430 |   6 | pcs.    |  2580 |   1 |  430 |   2 |  860 |   2 |  860 |   1 |  430 |
|  37 | Ink refill for Epson L360, (Yellow) 664            |  430 |   6 | pcs.    |  2580 |   1 |  430 |   2 |  860 |   2 |  860 |   1 |  430 |
|  38 | Insecticide spray, 500 ml (Baygon)                 |  470 |   2 | bottles |   940 |   1 |  470 |   0 |    0 |   1 |  470 |   0 |    0 |
|  39 | Keyboard, USB port, (a4tech)                       |  650 |   3 | pcs.    |  1950 |   0 |    0 |   2 | 1300 |   1 |  650 |   0 |    0 |
|  40 | Laminating film, long (acys)                       |   20 |  50 | pcs.    |  1000 |   5 |  100 |  25 |  500 |  10 |  200 |  10 |  200 |
|  41 | Mouse, USB port, (a4tech)                          |  450 |   3 | pcs.    |  1350 |   0 |    0 |   2 |  900 |   1 |  450 |   0 |    0 |
|  66 | Office table, ordinary                             | 3500 |   1 | unit    |  3500 |   0 |    0 |   0 |    0 |   0 |    0 |   1 | 3500 |
|  42 | Paper Clip big                                     |   45 |   7 | boxes   |   315 |   2 |   90 |   2 |   90 |   2 |   90 |   1 |   45 |
|  43 | Paper Clip small                                   |   35 |   5 | boxes   |   175 |   2 |   70 |   1 |   35 |   1 |   35 |   1 |   35 |
|  44 | Pencil, No. 2 (Monggol)                            |   80 |   4 | boxes   |   320 |   1 |   80 |   1 |   80 |   1 |   80 |   1 |   80 |
|  63 | Pigment Ink 100ml Full Color Bundle (CMYK)         |  500 |   4 | sets    |  2000 |   4 | 2000 |   0 |    0 |   0 |    0 |   0 |    0 |
|  45 | Plastic Coated Fastener                            |   55 |   5 | boxes   |   275 |   2 |  110 |   1 |   55 |   1 |   55 |   1 |   55 |
|  62 | Printer, (Epson L360)                              | 9000 |   1 | unit    |  9000 |   1 | 9000 |   0 |    0 |   0 |    0 |   0 |    0 |
|  64 | PVC card sheet (Officom)                           |  920 |   2 | packs   |  1840 |   2 | 1840 |   0 |    0 |   0 |    0 |   0 |    0 |
|  46 | Record book, regular size, 150p                    |   85 |   5 | pcs.    |   425 |   2 |  170 |   1 |   85 |   1 |   85 |   1 |   85 |
|  47 | Record book, regular size, 300p                    |  105 |   5 | pcs.    |   525 |   1 |  105 |   2 |  210 |   1 |  105 |   1 |  105 |
|  65 | Scissors                                           |  100 |   4 | pcs.    |   400 |   0 |    0 |   2 |  200 |   2 |  200 |   0 |    0 |
|  48 | Scrubbing pad w/ foam (scotch brite)               |   45 |  10 | pcs.    |   450 |   2 |   90 |   3 |  135 |   4 |  180 |   1 |   45 |
|  49 | Sign pen, green, 1.0, (Hi-techpoint V5)            | 1100 |   1 | box     |  1100 |   1 | 1100 |   0 |    0 |   0 |    0 |   0 |    0 |
|  50 | Soap, family size (Safeguard)                      |   55 |   5 | pcs.    |   275 |   1 |   55 |   1 |   55 |   2 |  110 |   1 |   55 |
|  51 | Soap, powder, detergent, 800g                      |  205 |   4 | packs   |   820 |   1 |  205 |   2 |  410 |   1 |  205 |   0 |    0 |
|  52 | Stabillo assorted color                            |   45 |   4 | pcs.    |   180 |   2 |   90 |   1 |   45 |   1 |   45 |   0 |    0 |
|  53 | Staple Wire # 35                                   |   65 |  20 | boxes   |  1300 |   0 |    0 |   5 |  325 |  10 |  650 |   5 |  325 |
|  54 | Tape, double sided, 1"                             |   65 |   5 | pcs.    |   325 |   1 |   65 |   2 |  130 |   1 |   65 |   1 |   65 |
|  55 | Tape, masking, 1" (Crocodile)                      |   48 |   5 | pcs.    |   240 |   1 |   48 |   2 |   96 |   1 |   48 |   1 |   48 |
|  56 | Tape, packaging                                    |   65 |   2 | pcs.    |   130 |   1 |   65 |   0 |    0 |   1 |   65 |   0 |    0 |
|  57 | Tape, scotch, 1" (Crocodile)                       |   35 |   5 | pcs.    |   175 |   0 |    0 |   3 |  105 |   2 |   70 |   0 |    0 |
|  58 | Tissue paper, 2-ply, individually wrapped          |   20 |  35 | rolls   |   700 |  10 |  200 |  10 |  200 |  10 |  200 |   5 |  100 |
|  59 | Toilet cleanser, ultra thick bleach, 500ml         |  180 |   7 | bottles |  1260 |   1 |  180 |   3 |  540 |   3 |  540 |   0 |    0 |
|  60 | Toilet deodorizer, refill, white large (Albatross) |   55 |   7 | pcs.    |   385 |   3 |  165 |   3 |  165 |   0 |    0 |   1 |   55 |
|  61 | Whiteboard 4X8 ft                                  | 2500 |   1 | pcs.    |  2500 |   1 | 2500 |   0 |    0 |   0 |    0 |   0 |    0 |



label: H=G*C
J=I*C
labeled_formulas: H=G*C
J=I*C
output: {"Arithmetic-Relationship": ["H=G*C", "J=I*C"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_748887___xlsx_219d3299044d1fd9f61cd38a3be7b2b3bfbdc03f.xlsx___line_191