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, 320ml                                |   260 |  20 | btls   |  5200 |   5 | 1300 |   5 |  1300 |   5 | 1300 |   5 | 1300 |
|   2 | Alcohol, isoprophyl , with spray, 70%,500ml               |   115 |  20 | btls   |  2300 |   5 |  575 |   5 |   575 |   5 |  575 |   5 |  575 |
|   3 | Anti virus, 3users                                        |  3100 |   1 | pcs    |  3100 |   0 |    0 |   0 |     0 |   0 |    0 |   1 | 3100 |
|   4 | Ballpen, ballpoint, black (HBW)                           |    95 |   8 | box    |   760 |   2 |  190 |   2 |   190 |   2 |  190 |   2 |  190 |
|   5 | Ballpen, retractable, black (pilot)                       |   700 |   4 | box    |  2800 |   1 |  700 |   1 |   700 |   1 |  700 |   1 |  700 |
|   6 | Balpen, BP-SP-B ballpoint, penfine, blue (pilot)          |   360 |   4 | box    |  1440 |   1 |  360 |   1 |   360 |   1 |  360 |   1 |  360 |
|   7 | Battery, AA , 1.5v(Energizer)                             |    35 |  15 | pcs    |   525 |   4 |  140 |   4 |   140 |   4 |  140 |   3 |  105 |
|   8 | Battery, AAA, 1.5v(Energizer)                             |    35 |  15 | pcs    |   525 |   4 |  140 |   4 |   140 |   4 |  140 |   3 |  105 |
|   9 | Binder clip, 1"                                           |    70 |   8 | box    |   560 |   2 |  140 |   2 |   140 |   2 |  140 |   2 |  140 |
|  10 | Binder clip, 2"                                           |    80 |   8 | box    |   640 |   2 |  160 |   2 |   160 |   2 |  160 |   2 |  160 |
|  11 | Binder clip, 3/4'"                                        |    45 |   8 | box    |   360 |   2 |   90 |   2 |    90 |   2 |   90 |   2 |   90 |
|  12 | Book Paper, sub20,70g/m2,long                             |   280 |  40 | rms    | 11200 |  10 | 2800 |  10 |  2800 |  10 | 2800 |  10 | 2800 |
|  13 | Book Paper, sub20,70g/m2,short                            |   250 |  20 | rms    |  5000 |   5 | 1250 |   5 |  1250 |   5 | 1250 |   5 | 1250 |
|  14 | Broom, soft                                               |   195 |   4 | pcs    |   780 |   1 |  195 |   1 |   195 |   1 |  195 |   1 |  195 |
|  15 | Calculator, 12 digit (casio)                              |   500 |   1 | pc     |   500 |   0 |    0 |   0 |     0 |   1 |  500 |   0 |    0 |
|  16 | Correction tape                                           |    55 |  20 | pcs    |  1100 |   5 |  275 |   5 |   275 |   5 |  275 |   5 |  275 |
|  17 | Dipper, white                                             |    55 |   2 | pcs    |   110 |   1 |   55 |   0 |     0 |   0 |    0 |   1 |   55 |
|  18 | Dishwashing liquid, 250ml antibac (joy)                   |   105 |  40 | btls   |  4200 |  10 | 1050 |   0 |     0 |  10 | 1050 |  20 | 2100 |
|  19 | Disinfectant spray, crisp linen scent, 12oz.,170g (lysol) |   360 |  12 | btls   |  4320 |   3 | 1080 |   3 |  1080 |   3 | 1080 |   3 | 1080 |
|  20 | Doormat, rubber                                           |   250 |   8 | pcs    |  2000 |   0 |    0 |   2 |   500 |   2 |  500 |   4 | 1000 |
|  21 | Dust pan, aluminum                                        |   270 |   2 | pcs    |   540 |   1 |  270 |   0 |     0 |   1 |  270 |   0 |    0 |
|  22 | Envelope, brown,long                                      |     7 |  80 | pcs    |   560 |  20 |  140 |  10 |    70 |  25 |  175 |  25 |  175 |
|  23 | Envelope, brown,short                                     |     6 |  50 | pcs    |   300 |  15 |   90 |  15 |    90 |  10 |   60 |  10 |   60 |
|  24 | Envelope, expanding, with garter, blue, long              |    35 |   8 | pcs    |   280 |   2 |   70 |   2 |    70 |   2 |   70 |   2 |   70 |
|  25 | Envelope, expanding, with garter, blue, short             |    25 |   8 | pcs    |   200 |   2 |   50 |   2 |    50 |   2 |   50 |   2 |   50 |
|  26 | Envelope, white, long                                     |   530 |   2 | bxs    |  1060 |   1 |  530 |   0 |     0 |   0 |    0 |   1 |  530 |
|  27 | Extension cord ,15 meters                                 |  1000 |   1 | pc     |  1000 |   1 | 1000 |   0 |     0 |   0 |    0 |   0 |    0 |
|  28 | Fabric conditioner, big, 900ml                            |   280 |   8 | pcs    |  2240 |   2 |  560 |   2 |   560 |   2 |  560 |   2 |  560 |
|  29 | Fastener, plastic coated                                  |    55 |  12 | box    |   660 |   3 |  165 |   3 |   165 |   3 |  165 |   3 |  165 |
|  30 | Flashdrive, 32GB                                          |   950 |   2 | pcs    |  1900 |   0 |    0 |   1 |   950 |   0 |    0 |   1 |  950 |
|  31 | Folder, long, white                                       |     7 | 200 | pcs    |  1400 |  50 |  350 |  50 |   350 |  50 |  350 |  50 |  350 |
|  32 | Folder, pressboard,blue, long                             |    30 |  20 | pcs    |   600 |   5 |  150 |   5 |   150 |   5 |  150 |   5 |  150 |
|  33 | Folder, short, white                                      |     6 |  20 | pcs    |   120 |   5 |   30 |   5 |    30 |   5 |   30 |   5 |   30 |
|  34 | Furniture polish ,330ml                                   |   320 |  10 | btls   |  3200 |   1 |  320 |   3 |   960 |   3 |  960 |   3 |  960 |
|  35 | Garbage bag, medium, biodegradable, 10's                  |   105 |  30 | rolls  |  3150 |   0 |    0 |  10 |  1050 |  10 | 1050 |  10 | 1050 |
|  36 | Garbage bag, small, biodegradable, 10's                   |    65 |  40 | rolls  |  2600 |  10 |  650 |  10 |   650 |  10 |  650 |  10 |  650 |
|  37 | Glass cleaner, with spray, 500 ml                         |   260 |  18 | pcs    |  4680 |   3 |  780 |   5 |  1300 |   5 | 1300 |   5 | 1300 |
|  38 | Glue, 130g (Elmer's)                                      |    59 |  12 | pcs    |   708 |   3 |  177 |   3 |   177 |   3 |  177 |   3 |  177 |
|  39 | Hand sanitizer                                            |   170 |  12 | btls   |  2040 |   2 |  340 |   4 |   680 |   3 |  510 |   3 |  510 |
|  40 | Handwash liquid soap                                      |   160 |   6 | btls   |   960 |   1 |  160 |   2 |   320 |   2 |  320 |   1 |  160 |
|  41 | Hard drive,external, 1TB                                  |  7000 |   1 | pc     |  7000 |   1 | 7000 |   0 |     0 |   0 |    0 |   0 |    0 |
|  42 | Highlighter, green (stabilo)                              |    45 |   4 | pcs    |   180 |   1 |   45 |   1 |    45 |   1 |   45 |   1 |   45 |
|  43 | Highlighter, pink (stabilo)                               |    45 |   4 | pcs    |   180 |   1 |   45 |   1 |    45 |   1 |   45 |   1 |   45 |
|  44 | Highlighter, yellow (stabilo)                             |    45 |   4 | pcs    |   180 |   1 |   45 |   1 |    45 |   1 |   45 |   1 |   45 |
|  45 | Ink refill for L120, black                                |   430 |  16 | pcs    |  6880 |   4 | 1720 |   4 |  1720 |   4 | 1720 |   4 | 1720 |
|  46 | Ink refill for L120, blackyellow                          |   430 |   8 | pcs    |  3440 |   2 |  860 |   2 |   860 |   2 |  860 |   2 |  860 |
|  47 | Ink refill for L120, cyan                                 |   430 |   8 | pcs    |  3440 |   2 |  860 |   2 |   860 |   2 |  860 |   2 |  860 |
|  48 | Ink refill for L120, magenta                              |   430 |   8 | pcs    |  3440 |   2 |  860 |   2 |   860 |   2 |  860 |   2 |  860 |
|  49 | Insecticide spray, 500ml (baygon)                         |   470 |   4 | pcs    |  1880 |   1 |  470 |   1 |   470 |   1 |  470 |   1 |  470 |
|  50 | Keyboard, Mini USB                                        |   710 |   1 | pc     |   710 |   0 |    0 |   0 |     0 |   1 |  710 |   0 |    0 |
|  51 | Mop head                                                  |   300 |   9 | pcs    |  2700 |   1 |  300 |   0 |     0 |   3 |  900 |   5 | 1500 |
|  52 | Oxalic, 1kg                                               |    80 |   3 | kgs    |   240 |   0 |    0 |   1 |    80 |   1 |   80 |   1 |   80 |
|  53 | Packaging tape                                            |    65 |   8 | rls    |   520 |   2 |  130 |   2 |   130 |   2 |  130 |   2 |  130 |
|  54 | Pail, white, big                                          |   180 |   2 | pcs    |   360 |   1 |  180 |   0 |     0 |   0 |    0 |   1 |  180 |
|  55 | Paper clamp, 1/2''                                        |    25 |  40 | pcs    |  1000 |  10 |  250 |  10 |   250 |  10 |  250 |  10 |  250 |
|  56 | Paper clamp, 2''                                          |    35 |  20 | pcs    |   700 |   5 |  175 |   5 |   175 |   5 |  175 |   5 |  175 |
|  57 | Paper clip, plastic coated, big                           |    45 |   8 | box    |   360 |   2 |   90 |   2 |    90 |   2 |   90 |   2 |   90 |
|  58 | Paper clip, plastic coated, small                         |    35 |   8 | box    |   280 |   2 |   70 |   2 |    70 |   2 |   70 |   2 |   70 |
|  59 | Pencil, #2 (mongol)                                       |    80 |   4 | box    |   320 |   1 |   80 |   1 |    80 |   1 |   80 |   1 |   80 |
|  60 | Pentel pen ink,black, refill                              |   115 |   8 | pcs    |   920 |   2 |  230 |   2 |   230 |   2 |  230 |   2 |  230 |
|  61 | Pentel pen, black, broad (pilot)                          |    55 |   4 | pcs    |   220 |   1 |   55 |   1 |    55 |   1 |   55 |   1 |   55 |
|  62 | Pentel pen, black, fine (pilot)                           |    55 |  20 | pcs    |  1100 |   5 |  275 |   5 |   275 |   5 |  275 |   5 |  275 |
|  63 | Pentel pen, red, fine (pilot)                             |    55 |   5 | pcs    |   275 |   1 |   55 |   1 |    55 |   2 |  110 |   1 |   55 |
|  64 | Photo paper,glossy, A4                                    |   175 |   8 | packs  |  1400 |   2 |  350 |   2 |   350 |   2 |  350 |   2 |  350 |
|  65 | Push pin                                                  |    55 |   8 | box    |   440 |   2 |  110 |   2 |   110 |   2 |  110 |   2 |  110 |
|  66 | Record book,regular size, 150p                            |    85 |  25 | pcs    |  2125 |   4 |  340 |   7 |   595 |   7 |  595 |   7 |  595 |
|  67 | Ruler, steel,12inches                                     |   120 |   4 | pcs    |   480 |   1 |  120 |   1 |   120 |   1 |  120 |   1 |  120 |
|  68 | Scissors                                                  |   100 |   4 | pcs    |   400 |   1 |  100 |   1 |   100 |   1 |  100 |   1 |  100 |
|  69 | Scotch tape, 1"                                           |    35 |  20 | pcs    |   700 |   5 |  175 |   5 |   175 |   5 |  175 |   5 |  175 |
|  70 | Sharpener, heavy duty                                     |   610 |   1 | pc     |   610 |   0 |    0 |   1 |   610 |   0 |    0 |   0 |    0 |
|  71 | Signpen,gel ink, black, 0.5 (my-gel)                      |   470 |   4 | box    |  1880 |   1 |  470 |   1 |   470 |   1 |  470 |   1 |  470 |
|  72 | Signpen,gel ink, green, 0.5 (my-gel)                      |   470 |   2 | box    |   940 |   1 |  470 |   0 |     0 |   1 |  470 |   0 |    0 |
|  73 | Signpen,gel ink, red, 0.5 (my-gel)                        |   470 |   2 | box    |   940 |   1 |  470 |   0 |     0 |   1 |  470 |   0 |    0 |
|  74 | Soap, powder, detergent, sachet, 70g                      |    20 | 200 | sachet |  4000 |  50 | 1000 |   0 |     0 | 100 | 2000 |  50 | 1000 |
|  75 | Sofa                                                      | 10000 |   1 | unit   | 10000 |   0 |    0 |   1 | 10000 |   0 |    0 |   0 |    0 |
|  76 | Specialty board, long, white                              |  2600 |   1 | rm     |  2600 |   1 | 2600 |   0 |     0 |   0 |    0 |   0 |    0 |
|  77 | Stamp pad ink                                             |    85 |   3 | btls   |   255 |   0 |    0 |   0 |     0 |   2 |  170 |   1 |   85 |
|  78 | Stamp pad, 4x6                                            |   260 |   2 | pcs    |   520 |   0 |    0 |   1 |   260 |   0 |    0 |   1 |  260 |
|  79 | Staple wire, #35                                          |    65 |  15 | box    |   975 |   2 |  130 |   4 |   260 |   4 |  260 |   5 |  325 |
|  80 | Stapler w/ remover                                        |   370 |   2 | pcs    |   740 |   0 |    0 |   1 |   370 |   0 |    0 |   1 |  370 |
|  81 | Sticker paper, white, A4, 10's                            |    68 |  12 | packs  |   816 |   3 |  204 |   3 |   204 |   3 |  204 |   3 |  204 |
|  82 | Tape dispenser, big                                       |   200 |   2 | pcs    |   400 |   1 |  200 |   0 |     0 |   0 |    0 |   1 |  200 |
|  83 | Tape, double sided, 1"'                                   |    65 |   8 | rls    |   520 |   2 |  130 |   2 |   130 |   2 |  130 |   2 |  130 |
|  84 | Tissue holder                                             |   100 |   2 | pcs    |   200 |   0 |    0 |   1 |   100 |   0 |    0 |   1 |  100 |
|  85 | Tissue paper, 2ply, individually wrapped                  |    20 | 100 | rolls  |  2000 |  25 |  500 |  25 |   500 |  25 |  500 |  25 |  500 |
|  86 | Toilet cleanser, ultra thick bleach, 500ml                |   180 |  12 | pcs    |  2160 |   3 |  540 |   3 |   540 |   3 |  540 |   3 |  540 |
|  87 | Toilet deodorizer, refill, white                          |    55 |  24 | pcs    |  1320 |   6 |  330 |   6 |   330 |   6 |  330 |   6 |  330 |
|  88 | Tornado mop                                               |   800 |   1 | pcs    |   800 |   1 |  800 |   0 |     0 |   0 |    0 |   0 |    0 |
|  89 | Trashcan, pedal operated,medium                           |  1200 |   2 | pcs    |  2400 |   0 |    0 |   0 |     0 |   1 | 1200 |   1 | 1200 |
|  90 | Uninterupted Power Supply, 650VA                          |  4500 |   1 | pc     |  4500 |   0 |    0 |   0 |     0 |   1 | 4500 |   0 |    0 |
|  91 | Whiteboard ink, black (pilot                              |   130 |   4 | pcs    |   520 |   1 |  130 |   1 |   130 |   1 |  130 |   1 |  130 |
|  92 | Whiteboard pen, black (pilot                              |    68 |  12 | pcs    |   816 |   3 |  204 |   3 |   204 |   3 |  204 |   3 |  204 |
|  93 | Zonrox bleach                                             |   250 |   8 | gal    |  2000 |   2 |  500 |   2 |   500 |   2 |  500 |   2 |  500 |



label: F=C*D
H=G*C
J=I*C
L=K*C
N=M*C
labeled_formulas: F=C*D
H=G*C
J=I*C
L=K*C
N=M*C
output: {"Arithmetic-Relationship": ["F=C*D", "H=G*C", "J=I*C", "L=K*C", "N=M*C"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_748918___xlsx_219d3299044d1fd9f61cd38a3be7b2b3bfbdc03f.xlsx___line_218