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 |     O |
|------:|:-----------------|:----|:--------------------------|-----:|:-----|--------:|----:|--------:|--------:|-------:|--------:|-------:|--------:|------:|
| 43130 | UNION BANK       | A   | BANKING                   | 7000 | LONG |   81    |   5 |   82    |    0    |   7000 |     0   |   1    |   35000 | 43131 |
| 43452 | PC JEWELLER      | A   | GEMS & JEWELLERY          | 1500 | LONG |   84    |   5 |   88.8  |    0    |   7200 |     0   |   4.8  |   36000 | 43452 |
| 43445 | CANARA BANK      | A   | BANKING                   | 2000 | LONG |  251    |   5 |  255.5  |    0    |   9000 |     0   |   4.5  |   45000 | 43446 |
| 43433 | MFSL             | A   | FINANCE                   | 1200 | LONG |  445    |   5 |  448.15 |    0    |   3780 |     0   |   3.15 |   18900 | 43433 |
| 43419 | APOLLO HOSPITAL  | A   | HOSPITAL & ALLIED MEDICAL |  500 | LONG | 1267    |   5 | 1280    | 1292.5  |   6500 |  6250   |  25.5  |   63750 | 43419 |
| 43403 | BANK OF INDIA    | A   | BANKING                   | 6000 | LONG |   86.7  |   5 |   87.7  |   88.55 |   6000 |  5100   |   1.85 |   55500 | 43403 |
| 43381 | IDEA             | A   | COMMUNICATION             | 7000 | LONG |   33.5  |   5 |   34.5  |   36.5  |   7000 | 14000   |   3    |  105000 | 43383 |
| 43355 | PVR              | A   | MEDIA-EMTERTAINMENT       |  400 | LONG | 1382    |   5 | 1402    | 1425    |   8000 |  9200   |  43    |   86000 | 43360 |
| 43355 | BRITANNIA        | A   | FOOD AND DAIRY PRODUCTS   |  200 | LONG | 6030    |   5 | 6065    | 6140    |   7000 | 15000   | 110    |  110000 | 43357 |
| 43353 | TATA MOTOR       | A   | AUTO                      | 1500 | LONG |  282    |   5 |  268    |    0    | -21000 |     0   | -14    | -105000 | 43354 |
| 43342 | VOLTAS           | A   | CONSUMER ELECTRONICS      | 1000 | LONG |  628.5  |   5 |  609.8  |    0    | -18700 |     0   | -18.7  |  -93500 | 43346 |
| 43341 | CHOLA FINANCE    | A   | FINANCE                   |  500 | LONG | 1479    |   5 | 1494    | 1525    |   7500 | 15500   |  46    |  115000 | 43346 |
| 43326 | SUN PHARMA       | A   | PHARMACEUTICALS           | 1100 | LONG |  588    |   5 |  594    |  610    |   6600 | 17600   |  22    |  121000 | 43326 |
| 43326 | REL INFRA        | A   | POWER GENERATION & SUPPLY | 1300 | LONG |  410    |   5 |  416    |  428    |   7800 | 15600   |  18    |  117000 | 43332 |
| 43319 | ADANI PORT       | A   | MISCELLANEOUS             | 2500 | LONG |  379.5  |   4 |  385    |  393.7  |  13750 | 21750   |  14.2  |  142000 | 43341 |
| 43315 | UNION BANK       | A   | BANKING                   | 6000 | LONG |   88    |   5 |   89.5  |   91.5  |   9000 | 12000   |   3.5  |  105000 | 43318 |
| 43312 | HCL              | -   | -                         |  700 | LONG |  963.5  |   5 |  973.5  |  984.95 |   7000 |  8015   |  21.45 |   75075 | 43314 |
| 43307 | REL INFRA        | -   | -                         | 1300 | LONG |  404.5  |   5 |  410.5  |  416.45 |   7800 |  7735   |  11.95 |   77675 | 43308 |
| 43304 | BAJAJ AUTO       | -   | -                         |  250 | LONG | 2672    |   5 | 2700    |    0    |   7000 |     0   |  28    |   35000 | 43307 |
| 43300 | PFC              | -   | -                         | 6000 | LONG |   70.1  |   5 |   71.5  |   75    |   8400 | 21000   |   4.9  |  147000 | 43305 |
| 43297 | BANK OF INDIA    | -   | -                         | 6000 | LONG |   79.3  |   5 |   80.7  |   82.85 |   8400 | 12900   |   3.55 |  106500 | 43298 |
| 43291 | TITAN IND        | -   | -                         |  750 | LONG |  833    |   5 |  800    |    0    | -24750 |     0   | -33    | -123750 | 43294 |
| 43287 | BEML             | -   | -                         |  500 | LONG |  828    |   5 |  843    |  858    |   7500 |  7500   |  30    |   75000 | 43287 |
| 43285 | SRT FINANCE      | -   | -                         |  600 | LONG | 1120    |   5 | 1140    | 1190    |  12000 | 30000   |  70    |  210000 | 43286 |
| 43280 | REL INFRA        | -   | -                         | 1300 | LONG |  402    |   5 |  410    |    0    |  10400 |     0   |   8    |   52000 | 43297 |
| 43258 | APOLLO HOSPITAL  | -   | -                         |  500 | LONG |  950    |   5 |  965    |  995    |   7500 | 15000   |  45    |  112500 | 43259 |
| 43257 | MARICO           | -   | -                         | 2600 | LONG |  335.5  |   5 |  340    |  348    |  11700 | 20800   |  12.5  |  162500 | 43262 |
| 43252 | TORRENT PHARMA   | -   | -                         |  500 | LONG | 1435    |   5 | 1455    | 1490    |  10000 | 17500   |  55    |  137500 | 43252 |
| 43245 | APOLLO HOSPITAL  | -   | -                         |  500 | LONG |  992    |   5 | 1007    |    0    |   7500 |     0   |  15    |   37500 | 43251 |
| 43241 | BANK OF INDIA    | -   | -                         | 6000 | LONG |   95.3  |   5 |   99    |  103.75 |  22200 | 28500   |   8.45 |  253500 | 43243 |
| 43237 | BAJAJ FINSV      | -   | -                         |  125 | LONG | 5420    |   8 | 5470    | 5570    |   6250 | 12500   | 150    |  150000 | 43237 |
| 43236 | REL CAPITAL      | -   | -                         |  750 | LONG |  366.5  |   5 |  376.5  |  399    |   7500 | 16875   |  32.5  |  121875 | 43237 |
| 43235 | MIND TREE        | -   | -                         | 1200 | LONG | 1017    |   5 | 1025    | 1040    |   9600 | 18000   |  23    |  138000 | 43242 |
| 43228 | REL INFRA        | -   | -                         | 1300 | LONG |  443    |   5 |  414.5  |    0    | -37050 |     0   | -28.5  | -185250 | 43231 |
| 43227 | DCB BANK         | -   | -                         | 4500 | LONG |  196.1  |   5 |  198    |  202    |   8550 | 18000   |   5.9  |  132750 | 43228 |
| 43224 | NIIT TECH        | -   | -                         |  750 | LONG | 1006    |   5 | 1020    | 1050    |  10500 | 22500   |  44    |  165000 | 43224 |
| 43223 | CENTURY TEX      | -   | -                         |  550 | LONG | 1110    |   5 | 1062    |    0    | -26400 |     0   | -48    | -132000 | 43223 |
| 43222 | RAYMOND          | -   | -                         |  800 | LONG | 1150    |   5 | 1104.8  |    0    | -36160 |     0   | -45.2  | -180800 | 43223 |
| 43210 | BOI              | -   | -                         | 6000 | LONG |  103    |   4 |  104.25 |    0    |   7500 |     0   |   1.25 |   30000 | 43215 |
| 43209 | IDEA             | -   | -                         | 7000 | LONG |   71.5  |   5 |   72.75 |    0    |   8750 |     0   |   1.25 |   43750 | 43216 |
| 43206 | MNM              | -   | -                         | 1000 | LONG |  801    |   5 |  809    |  820.2  |   8000 | 11200   |  19.2  |   96000 | 43207 |
| 43200 | HDIL             | -   | -                         | 9000 | LONG |   42.9  |   5 |   41    |    0    | -17100 |     0   |  -1.9  |  -85500 | 43202 |
| 43194 | HCL              | -   | -                         |  700 | LONG |  969    |   5 |  980    | 1005    |   7700 | 17500   |  36    |  126000 | 43202 |
| 43193 | BAJAJ FINSV      | -   | -                         |  125 | LONG | 5324    |   8 | 5375    | 5500    |   6375 | 15625   | 176    |  176000 | 43196 |
| 43173 | R INFRA          | -   | -                         | 1300 | LONG |  456    |   5 |  462    |    0    |   7800 |     0   |   6    |   39000 | 43182 |
| 43165 | DISH TV          | -   | -                         | 7000 | LONG |   67.5  |   5 |   68.8  |   72.5  |   9100 | 25900   |   5    |  175000 | 43173 |
| 43158 | BOI              | -   | -                         | 6000 | LONG |  117.75 |   5 |  107    |    0    | -64500 |     0   | -10.75 | -322500 | 43165 |
| 43140 | OBC              | -   | -                         | 6000 | LONG |  111.25 |   5 |  112.5  |  114.35 |   7500 | 11100   |   3.1  |   93000 | 43143 |
| 43137 | UBL              | -   | -                         |  700 | LONG | 1102    |   5 | 1115    | 1143.8  |   9100 | 20160   |  41.8  |  146300 | 43137 |
| 43137 | SRE INFRA        | -   | -                         | 5000 | LONG |   77.4  |   5 |   79    |   82    |   8000 | 15000   |   4.6  |  115000 | 43139 |
| 43133 | PC JEWELLER      | -   | -                         | 1500 | LONG |  304    |   5 |  312    |  335    |  12000 | 34500   |  31    |  232500 | 43133 |
| 43132 | BHARTI AIRTEL    | -   | -                         | 1700 | LONG |  441.5  |   5 |  446.5  |    0    |   8500 |     0   |   5    |   42500 | 43136 |
| 43130 | CADILAHC         | -   | -                         | 1600 | LONG |  427.5  |   5 |  414    |    0    | -21600 |     0   | -13.5  | -108000 | 43133 |
| 43125 | BANK OF INDIA    | -   | -                         | 6000 | LONG |  171    |   5 |  172.5  |  174.3  |   9000 | 10800   |   3.3  |   99000 | 43129 |
| 43118 | YES BANK         | -   | -                         | 1750 | LONG |  334    |   6 |  340    |  355    |  10500 | 26250   |  21    |  220500 | 43122 |
| 43115 | CAPF             | -   | -                         |  800 | LONG |  870    |   5 |  830    |    0    | -32000 |     0   | -40    | -160000 | 43116 |
| 43090 | DISH TV          | -   | -                         | 7000 | LONG |   81.4  |   5 |   83    |    0    |  11200 |     0   |   1.6  |   56000 | 43097 |
| 43088 | REL CAPITAL      | -   | -                         |  750 | LONG |  421    |   5 |  431    |  455    |   7500 | 18000   |  34    |  127500 | 43089 |
| 43052 | JUST DIAL        | -   | -                         | 1200 | LONG |  500    |   5 |  507    |  522    |   8400 | 18000   |  22    |  132000 | 43052 |
| 43025 | JUBILANT FOOD    | -   | -                         |  500 | LONG | 1580    |   5 | 1597    | 1630    |   8500 | 16500   |  50    |  125000 | 43034 |
| 43014 | APOLLO TYRE      | -   | -                         | 3000 | LONG |  243.5  |   5 |  243.5  |    0    |      0 |     0   |   0    |       0 | 43019 |
| 43006 | JUST DIAL        | -   | -                         | 1200 | LONG |  374    |   5 |  382    |  397    |   9600 | 18000   |  23    |  138000 | 43013 |
| 42990 | INDIA CEMENTS    | -   | -                         | 3500 | LONG |  190    |   4 |  195    |  198.8  |  17500 | 13300   |   8.8  |  123200 | 42992 |
| 42979 | GRASIM           | -   | -                         |  750 | LONG | 1166    |   4 | 1180    | 1219    |  10500 | 29250   |  53    |  159000 | 42985 |
| 42955 | AJANTA PHARMA    | -   | -                         |  400 | LONG | 1324    |   5 | 1335.95 |    0    |   4780 |     0   |  11.95 |   23900 | 42956 |
| 42954 | JET AIRWAYS      | -   | -                         | 1200 | LONG |  628    |   5 |  636    |  641.6  |   9600 |  6720   |  13.6  |   81600 | 42954 |
| 42950 | NBCC             | -   | -                         | 3000 | LONG |  220    |   5 |  202    |    0    | -54000 |     0   | -18    | -270000 | 42957 |
| 42950 | HAVELLS IND      | -   | -                         | 2000 | LONG |  485    |   5 |  490    |  495.3  |  10000 | 10600   |  10.3  |  103000 | 42951 |
| 42944 | INDIA CEMENTS    | -   | -                         | 3500 | LONG |  200    |   4 |  203    |  208.2  |  10500 | 18200   |   8.2  |  114800 | 42948 |
| 42941 | KPIT AUG         | -   | -                         | 4000 | LONG |  123    |   5 |  126.5  |  130.7  |  14000 | 16800   |   7.7  |  154000 | 42943 |
| 42941 | PIDILITE AUG     | -   | -                         | 1000 | LONG |  826    |   5 |  831.9  |    0    |   5900 |     0   |   5.9  |   29500 | 42942 |
| 42935 | IDEA             | -   | -                         | 7000 | LONG |   91.75 |   5 |   93.25 |   96    |  10500 | 19250   |   4.25 |  148750 | 42935 |
| 42920 | MFSL             | -   | -                         | 1000 | LONG |  633    |   5 |  640    |    0    |   7000 |     0   |   7    |   35000 | 42921 |
| 42909 | CANARA BANK JULY | -   | -                         | 3084 | LONG |  333.5  |   5 |  338.5  |  342.6  |  15420 | 12644.4 |   9.1  |  140322 | 42922 |
| 42907 | SRF              | -   | -                         |  500 | LONG | 1650    |   5 | 1610    |    0    | -20000 |     0   | -40    | -100000 | 42909 |
| 42907 | UNION BANK       | -   | -                         | 4000 | LONG |  153    |   5 |  141    |    0    | -48000 |     0   | -12    | -240000 | 42913 |
| 42905 | PC JEWELLER      | -   | -                         | 1500 | LONG |  500    |   7 |  510    |  525    |  15000 | 22500   |  25    |  262500 | 42907 |
| 42884 | REL INFRA        | -   | -                         | 1300 | LONG |  453    |   7 |  468    |  483    |  19500 | 19500   |  30    |  273000 | 42886 |
| 42884 | REL CAPITAL      | -   | -                         | 1500 | LONG |  539    |   7 |  555    |  572    |  24000 | 25500   |  33    |  346500 | 42886 |
| 42873 | CESC             | -   | -                         | 1100 | LONG |  858    |   4 |  880    |  901    |  24200 | 23100   |  43    |  189200 | 42878 |
| 42871 | INDIAN BANK      | -   | -                         | 2000 | LONG |  364    |   5 |  353.5  |    0    | -21000 |     0   | -10.5  | -105000 | 42873 |
| 42866 | HPCL             | -   | -                         | 1050 | LONG |  529    |   7 |  545    |    0    |  16800 |     0   |  16    |  117600 | 42878 |
| 42864 | TITAN IND        | -   | -                         | 1500 | LONG |  467.5  |   5 |  480    |  505.65 |  18750 | 38475   |  38.15 |  286125 | 42866 |
| 42858 | HEXAWARE TECH    | -   | -                         | 3000 | LONG |  236    |   5 |  239.65 |  251.8  |  10950 | 36450   |  15.8  |  237000 | 42863 |
| 42838 | HPCL             | -   | -                         | 2100 | LONG |  549.5  |   5 |  557    |  564.75 |  15750 | 16275   |  15.25 |  160125 | 42838 |
| 42837 | LIC              | -   | -                         | 1100 | LONG |  631    |   5 |  640    |  660    |   9900 | 22000   |  29    |  159500 | 42849 |
| 42832 | CENTURY TEX      | -   | -                         | 1100 | LONG | 1078    |   8 | 1090    | 1120    |  13200 | 33000   |  42    |  369600 | 42842 |
| 42831 | CEAT TYRE        | -   | -                         |  700 | LONG | 1372    |   5 | 1385    | 1405    |   9100 | 14000   |  33    |  115500 | 42836 |
| 42811 | HDFC BANK        | -   | -                         |  500 | LONG | 1430    |   4 | 1460    |    0    |  15000 |     0   |  30    |   60000 | 42824 |
| 42802 | BHARAT FINANCE   | -   | -                         | 1000 | LONG |  829    |   4 |  840    |  861    |  11000 | 21000   |  32    |  128000 | 42803 |
| 42796 | PETRONET         | -   | -                         | 1500 | LONG |  391    |   4 |  397.5  |    0    |   9750 |     0   |   6.5  |   39000 | 42824 |
| 42793 | BHARTI AIRTEL    | -   | -                         | 1700 | LONG |  355    |   6 |  370    |    0    |  25500 |     0   |  15    |  153000 | 42824 |
| 42772 | ADANI PORT       | -   | -                         | 2500 | LONG |  311    |   4 |  314.8  |    0    |   9500 |     0   |   3.8  |   38000 | 42789 |
| 42747 | TATA COMM        | -   | -                         | 1400 | LONG |  643    |   4 |  650    |  670    |   9800 | 28000   |  27    |  151200 | 42747 |
| 42744 | DIVIS LAB        | -   | -                         |  600 | LONG |  742    |   5 |  758.9  |    0    |  10140 |     0   |  16.9  |   50700 | 42760 |
| 42716 | CESC             | -   | -                         | 1100 | LONG |  630    |   4 |  639.7  |    0    |  10670 |     0   |   9.7  |   42680 | 42733 |
| 42709 | INDIA CEMENTS    | -   | -                         | 3500 | LONG |  109.2  |   3 |  112    |  116.25 |   9800 | 14875   |   7.05 |   74025 | 42710 |
| 42703 | BIOCON           | -   | -                         | 1100 | LONG |  895    |   6 |  910    |  936    |  16500 | 28600   |  41    |  270600 | 42704 |
| 42683 | KOTAK BANK       | -   | -                         |  800 | LONG |  827    |   3 |  742.25 |    0    | -67800 |     0   | -84.75 | -203400 | 42698 |



label: M=(L+K)/E
N=M*H*E
labeled_formulas: M=(L+K)/E
N=M*H*E
K=(I-G)*E
output: {"Arithmetic-Relationship": ["M=(L+K)/E", "N=M*H*E"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_762113___xlsx_06e035b67b34aecb32dac2a3455be75d6edbb0ec.xlsx___line_16