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 |   P |   Q |   R |   S |   T |   U |
|----:|:-------------|:----------|:----|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|----:|
| 318 | Hancock      | Vincent   | TX  |  25 |  23 |  23 |  71 |  25 |  24 |  49 | 120 |  25 |  24 |  25 |  74 |  24 |  25 |  49 | 123 | 243 |
| 314 | Perry        | Dustin    | TX  |  25 |  24 |  25 |  74 |  23 |  24 |  47 | 121 |  24 |  25 |  24 |  73 |  24 |  24 |  48 | 121 | 242 |
| 319 | Thompson     | Frank     | NE  |  24 |  22 |  25 |  71 |  25 |  25 |  50 | 121 |  24 |  23 |  23 |  70 |  24 |  24 |  48 | 118 | 239 |
| 284 | Weeks        | Mark      | AL  |  24 |  23 |  25 |  72 |  25 |  23 |  48 | 120 |  24 |  24 |  24 |  72 |  23 |  23 |  46 | 118 | 238 |
| 107 | Bayer        | Thomas    | TX  |  24 |  25 |  23 |  72 |  23 |  24 |  47 | 119 |  25 |  23 |  24 |  72 |  24 |  23 |  47 | 119 | 238 |
| 270 | Taylor       | Dustan    | NC  |  25 |  25 |  23 |  73 |  23 |  23 |  46 | 119 |  21 |  25 |  25 |  71 |  23 |  24 |  47 | 118 | 237 |
| 146 | Elliott      | Christian | IN  |  24 |  24 |  21 |  69 |  21 |  25 |  46 | 115 |  24 |  24 |  23 |  71 |  25 |  24 |  49 | 120 | 235 |
| 224 | Moschetti    | Nic       | CO  |  24 |  25 |  25 |  74 |  23 |  25 |  48 | 122 |  22 |  25 |  22 |  69 |  20 |  23 |  43 | 112 | 234 |
| 140 | DeWitt       | Granger   | TX  |  23 |  21 |  22 |  66 |  25 |  23 |  48 | 114 |  23 |  24 |  23 |  70 |  24 |  24 |  48 | 118 | 232 |
| 212 | McBee        | Zachary   | AZ  |  24 |  23 |  22 |  69 |  22 |  23 |  45 | 114 |  23 |  22 |  23 |  68 |  23 |  25 |  48 | 116 | 230 |
| 264 | Staffen      | Mark      | OH  |  24 |  22 |  24 |  70 |  21 |  24 |  45 | 115 |  25 |  22 |  23 |  70 |  21 |  24 |  45 | 115 | 230 |
| 114 | Boerboon     | Nick      | MN  |  23 |  21 |  25 |  69 |  24 |  22 |  46 | 115 |  21 |  24 |  24 |  69 |  25 |  21 |  46 | 115 | 230 |
| 317 | Jungman      | Phillip   | TX  |  24 |  21 |  21 |  66 |  22 |  22 |  44 | 110 |  23 |  24 |  24 |  71 |  24 |  24 |  48 | 119 | 229 |
| 194 | Johnson      | Robert    | AZ  |  19 |  25 |  22 |  66 |  25 |  22 |  47 | 113 |  24 |  22 |  24 |  70 |  23 |  21 |  44 | 114 | 227 |
| 292 | Wilson       | Aaron     | KS  |  21 |  21 |  22 |  64 |  21 |  22 |  43 | 107 |  24 |  24 |  25 |  73 |  24 |  22 |  46 | 119 | 226 |
| 238 | Raley        | Josh      | LA  |  19 |  25 |  25 |  69 |  23 |  22 |  45 | 114 |  20 |  22 |  20 |  62 |  25 |  24 |  49 | 111 | 225 |
| 304 | Gloria       | Luis      | AZ  |  21 |  24 |  25 |  70 |  22 |  24 |  46 | 116 |  21 |  21 |  24 |  66 |  19 |  24 |  43 | 109 | 225 |
| 272 | Thomas       | Will      | IA  |  23 |  24 |  23 |  70 |  19 |  22 |  41 | 111 |  22 |  22 |  21 |  65 |  23 |  22 |  45 | 110 | 221 |
| 211 | McBee        | Remington | TX  |  21 |  23 |  20 |  64 |  19 |  22 |  41 | 105 |  21 |  23 |  24 |  68 |  22 |  23 |  45 | 113 | 218 |
| 268 | Stewart      | Hayden    | TN  |  20 |  23 |  23 |  66 |  20 |  23 |  43 | 109 |  24 |  21 |  24 |  69 |  22 |  18 |  40 | 109 | 218 |
| 249 | Rolader      | William   | GA  |  22 |  24 |  22 |  68 |  18 |  20 |  38 | 106 |  20 |  22 |  22 |  64 |  22 |  24 |  46 | 110 | 216 |
| 149 | Evans        | Colton    | GA  |  22 |  19 |  24 |  65 |  24 |  23 |  47 | 112 |  19 |  21 |  19 |  59 |  24 |  21 |  45 | 104 | 216 |
| 237 | Rainey       | Nelson    | TN  |  23 |  22 |  18 |  63 |  20 |  24 |  44 | 107 |  22 |  21 |  23 |  66 |  19 |  23 |  42 | 108 | 215 |
| 316 | McCaleb      | Hamilton  | GA  |  21 |  23 |  18 |  62 |  21 |  20 |  41 | 103 |  21 |  24 |  21 |  66 |  25 |  20 |  45 | 111 | 214 |
| 320 | Ellis        | Ethan     | TX  |  21 |  19 |  22 |  62 |  20 |  23 |  43 | 105 |  20 |  23 |  22 |  65 |  23 |  20 |  43 | 108 | 213 |
| 320 | Gruetzner    | Kevin     | NY  |  20 |  22 |  19 |  61 |  17 |  21 |  38 |  99 |  20 |  25 |  25 |  70 |  19 |  24 |  43 | 113 | 212 |
| 197 | Keldsen      | Isaac     | IN  |  21 |  20 |  21 |  62 |  22 |  21 |  43 | 105 |  19 |  22 |  21 |  62 |  22 |  23 |  45 | 107 | 212 |
| 177 | Hart         | Clay      | TX  |  22 |  21 |  24 |  67 |  21 |  19 |  40 | 107 |  24 |  22 |  18 |  64 |  21 |  20 |  41 | 105 | 212 |
| 267 | Stewart      | Chase     | AZ  |  17 |  21 |  23 |  61 |  20 |  22 |  42 | 103 |  24 |  22 |  22 |  68 |  20 |  20 |  40 | 108 | 211 |
| 252 | Schroeder    | Benjamin  | IL  |  20 |  21 |  19 |  60 |  21 |  20 |  41 | 101 |  24 |  23 |  19 |  66 |  21 |  20 |  41 | 107 | 208 |
| 294 | Wright III   | Trey      | GA  |  21 |  21 |  23 |  65 |  23 |  17 |  40 | 105 |  22 |  20 |  22 |  64 |  19 |  20 |  39 | 103 | 208 |
| 258 | Sinclair     | Nash      | GA  |  20 |  21 |  20 |  61 |  19 |  22 |  41 | 102 |  20 |  24 |  20 |  64 |  22 |  19 |  41 | 105 | 207 |
| 228 | Odom         | Truitt    | TX  |  21 |  22 |  20 |  63 |  20 |  19 |  39 | 102 |  21 |  18 |  22 |  61 |  22 |  22 |  44 | 105 | 207 |
| 150 | Ferebee III  | John      | NC  |  16 |  23 |  24 |  63 |  18 |  23 |  41 | 104 |  21 |  22 |  19 |  62 |  19 |  22 |  41 | 103 | 207 |
| 301 | Altman       | Freddy    | CAN |  21 |  22 |  20 |  63 |  22 |  21 |  43 | 106 |  19 |  21 |  20 |  60 |  20 |  21 |  41 | 101 | 207 |
| 136 | Day          | Devin     | TX  |  23 |  20 |  22 |  65 |  19 |  21 |  40 | 105 |  18 |  23 |  19 |  60 |  20 |  19 |  39 |  99 | 204 |
| 253 | Schumann     | Charles   | TX  |  18 |  20 |  22 |  60 |  20 |  19 |  39 |  99 |  21 |  20 |  20 |  61 |  20 |  22 |  42 | 103 | 202 |
| 123 | Carl         | Glenn     | MI  |  19 |  22 |  18 |  59 |  21 |  21 |  42 | 101 |  16 |  22 |  21 |  59 |  19 |  22 |  41 | 100 | 201 |
| 161 | Grehan       | John      | OH  |  18 |  22 |  15 |  55 |  21 |  20 |  41 |  96 |  18 |  23 |  20 |  61 |  21 |  22 |  43 | 104 | 200 |
| 195 | Kain         | Joseph    | MA  |  17 |  20 |  22 |  59 |  22 |  19 |  41 | 100 |  20 |  24 |  19 |  63 |  15 |  21 |  36 |  99 | 199 |
| 275 | Valiente     | Antonio   | FL  |  20 |  17 |  19 |  56 |  19 |  20 |  39 |  95 |  21 |  20 |  21 |  62 |  19 |  20 |  39 | 101 | 196 |
| 279 | Vorra III    | William   | CT  |  17 |  21 |  17 |  55 |  17 |  23 |  40 |  95 |  19 |  20 |  23 |  62 |  18 |  19 |  37 |  99 | 194 |
| 200 | King         | Colin     | TN  |  18 |  20 |  19 |  57 |  18 |  20 |  38 |  95 |  18 |  21 |  19 |  58 |  17 |  24 |  41 |  99 | 194 |
| 101 | Anderson     | Gavin     | TN  |  15 |  23 |  17 |  55 |  22 |  17 |  39 |  94 |  20 |  18 |  19 |  57 |  20 |  22 |  42 |  99 | 193 |
| 236 | Pursell      | Wyatt     | KS  |  22 |  17 |  17 |  56 |  19 |  17 |  36 |  92 |  19 |  17 |  18 |  54 |  21 |  20 |  41 |  95 | 187 |
| 320 | Ellis        | Elijah    | TX  |  15 |  19 |  17 |  51 |  17 |  18 |  35 |  86 |  20 |  17 |  20 |  57 |  21 |  21 |  42 |  99 | 185 |
| 262 | Smith        | Zeth      | TX  |  19 |  12 |  22 |  53 |  18 |  15 |  33 |  86 |  21 |  18 |  21 |  60 |  17 |  20 |  37 |  97 | 183 |
| 126 | Carter       | Samuel    | CA  |  14 |  17 |  21 |  52 |  16 |  19 |  35 |  87 |  19 |  19 |  20 |  58 |  15 |  16 |  31 |  89 | 176 |
| 263 | Spader       | Sebastian | CA  |  18 |  17 |  18 |  53 |  16 |  17 |  33 |  86 |  16 |  18 |  16 |  50 |  17 |  16 |  33 |  83 | 169 |
| 167 | Halliday III | Edwin     | TN  |  19 |  19 |  15 |  53 |  17 |  17 |  34 |  87 |  14 |  16 |  18 |  48 |  15 |  19 |  34 |  82 | 169 |



label: K=J+I
L=K+H
T=S+P
U=T+L
labeled_formulas: K=J+I
L=K+H
T=S+P
U=T+L
output: {"Arithmetic-Relationship": ["K=J+I", "L=K+H", "T=S+P", "U=T+L"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_737840___xlsx_c52cb05373dbbe9efcf299387c181f29af852c24.xlsx___line_508