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 |
|:-----------------------|:--------------------------------------------------------------------------------------------------------------------------------------------|------:|-----:|----:|
| ORDIN.0-316N20005499.0 | SPEED 1 -5 MPH OVER                                                                                                                         |  50.5 | 30.5 |  81 |
| ORDIN.0-317N20005499.0 | SPEED 6 -10 MPH OVER                                                                                                                        |  60.5 | 30.5 |  91 |
| ORDIN.0-318N20005499.0 | SPEED 11 -15 MPH OVER                                                                                                                       |  70.5 | 30.5 | 101 |
| ORDIN.0-319N20005499.0 | SPEED 16 -19 MPH OVER                                                                                                                       | 100.5 | 30.5 | 131 |
| ORDIN.0-005N20165599.0 | ANIMAL AT LARGE                                                                                                                             |  50.5 | 30.5 |  81 |
| ORDIN.0-004N20005599.0 | ANIMAL LICENSE                                                                                                                              |  50.5 | 30.5 |  81 |
| ORDIN.0-279N20005499.0 | BICYCLE VIOLATION                                                                                                                           |  15.5 | 30.5 |  46 |
| ORDIN.0-142N20005499.0 | CHANGED LANES WHEN MOVEMENT COULD NOT BE MADE WITH SAFETY                                                                                   |  60.5 | 30.5 |  91 |
| ORDIN.0-143N20005499.0 | CHANGED LANES WHEN MOVEMENT COULD NOT BE MADE WITH SAFETY - CAUSE IMMEDIATE THREAT OF ACCIDENT                                              |  60.5 | 30.5 |  91 |
| ORDIN.0-246N20035499.0 | CRUISING                                                                                                                                    |  20.5 | 30.5 |  51 |
| ORDIN.0-204N20005499.0 | CUT IN ON OVERTAKEN VEHICLE                                                                                                                 |  80.5 | 30.5 | 111 |
| ORDIN.0-159N20005499.0 | DEFECTIVE EQUIPMENT                                                                                                                         |  50.5 | 30.5 |  81 |
| ORDIN.0-389N201654__.0 | DISPLAY UNLAWFUL PLATES                                                                                                                     |  50.5 | 30.5 |  81 |
| ORDIN.0-388N201654__.0 | DISPLAY/POSS PLATES OF ANOTHER                                                                                                              |  50.5 | 30.5 |  81 |
| ORDIN.0-294N20105499.0 | DRIVER FAIL TO SECURE CHILD 80 POUNDS OR MORE OR OVER 4 FEET 9 INCHES IN BOOSTER SEAT OR SAFETY BELT                                        |  10   |  0   |  10 |
| ORDIN.0-295N20105499.0 | DRIVER FAIL TO SECURE CHILD LESS THAN 8 YEARS OLD IN A CHILD RESTRAINT OR BOOSTER SEAT                                                      |  49.5 | 30.5 |  80 |
| ORDIN.0-293N20005499.0 | DRIVER OF MOTOR VEHICLE FAILED TO WEAR PROPERLY ADJUSTED/FASTENED SAFETY BELT                                                               |  10   |  0   |  10 |
| ORDIN.0-231N20005499.0 | DROVE AT SUCH SLOW SPEED TO IMPEDE/BLOCK NORMAL AND REASONABLE TRAFFIC MOVEMENT                                                             |  60.5 | 30.5 |  91 |
| ORDIN.0-117N20005499.0 | DROVE IN CENTER LANE OF 3-LANE ROAD WHEN VIEW OBSTRUCTED/NOT CLEAR OF TRAFFIC                                                               |  60.5 | 30.5 |  91 |
| ORDIN.0-118N20005499.0 | DROVE IN CENTER LANE OF 3-LANE ROAD WHEN VIEW OBSTRUCTED/NOT CLEAR OF TRAFFIC - CAUSE IMMEDIATE THREAT OF ACCIDENT                          |  60.5 | 30.5 |  91 |
| ORDIN.0-109N20005499.0 | DROVE VEHICLE TO LEFT SIDE OF ROADWAY WHEN VIEW OBSTRUCTED BY HILL/CURVE                                                                    | 130.5 | 30.5 | 161 |
| ORDIN.0-110N20005499.0 | DROVE VEHICLE TO LEFT SIDE OF ROADWAY WITHIN 100 FEET OF BRIDGE/VIADUCT/TUNNEL WHEN VIEW OBSTRUCTED                                         | 130.5 | 30.5 | 161 |
| ORDIN.0-120N20005499.0 | DROVE WRONG DIRECTION ON STREET                                                                                                             |  60.5 | 30.5 |  91 |
| ORDIN.0-121N20005499.0 | DROVE WRONG DIRECTION ON STREET - CAUSE IMMEDIATE THREAT OF ACCIDENT                                                                        |  60.5 | 30.5 |  91 |
| ORDIN.0-129N20005499.0 | ENTERED/TRAVELED IN A LANE OVER WHICH A RED SIGNAL WAS SHOWN                                                                                |  60.5 | 30.5 |  91 |
| ORDIN.0-243N20005499.0 | EQUIPMENT VIOLATION                                                                                                                         |  50.5 | 30.5 |  81 |
| ORDIN.0-244N20005499.0 | EXCESSIVE NOISE  - VEHICULAR                                                                                                                |  50.5 | 30.5 |  81 |
| ORDIN.0-038Y20005499.0 | EXPIRED DRIVER'S LICENSE                                                                                                                    |  50.5 | 30.5 |  81 |
| ORDIN.0-288N20005499.0 | EXPIRED PLATES                                                                                                                              |  50.5 | 30.5 |  81 |
| ORDIN.0-192N20005499.0 | FAIL TO OBEY TRAFFIC CONTROL DEVICES                                                                                                        |  60.5 | 30.5 |  91 |
| ORDIN.0-128N20005499.0 | FAIL TO SIGNAL/GAVE IMPROPER SIGNAL WHEN STOPPING/TURNING LEFT OR RIGHT                                                                     |  60.5 | 30.5 |  91 |
| ORDIN.0-206N20005499.0 | FAIL TO SLOW TO REASONABLE SPEED FOR EXISTING CONDITIONS FOR YIELD SIGN                                                                     |  60.5 | 30.5 |  91 |
| ORDIN.0-194N20005499.0 | FAIL TO STOP AT STOP SGN AT STOP LINE BEFORE CROSWLK/POINT NEARST INTRSCTION                                                                |  60.5 | 30.5 |  91 |
| ORDIN.0-195N20105499.0 | FAIL TO STOP AT STOP SIGN AT STOP LINE/BEFORE CROSSWALK/POINT NEAREST INTERSECTION - COUNTY                                                 |  60.5 | 30.5 |  91 |
| ORDIN.0-150N20005499.0 | FAIL TO STOP FOR SCHOOL BUS RECEIVING/DISCHARGING SCHOOL CHILDREN                                                                           | 130.5 | 30.5 | 161 |
| ORDIN.0-196N20005499.0 | FAIL TO TURN AS DIRECTED OR REQUIRED BY INTERSECTION TRAFFIC CONTROL DEVICE                                                                 |  60.5 | 30.5 |  91 |
| ORDIN.0-190N20005499.0 | FAIL TO WEAR PROTECTIVE HEADGEAR WHEN ON MOTORCYCLE IN MOTION/WEAR APPROVED GEAR ***                                                        |  25   |  0   |  25 |
| ORDIN.0-140N20005499.0 | FAIL TO YIELD AFTER STOPPING TO VEHICLE THAT ENTERED INTERSECTION/SO CLOSE TO CAUSE HAZARD                                                  |  60.5 | 30.5 |  91 |
| ORDIN.0-209N20005499.0 | FAIL TO YIELD TO APPROACHING VEHICLE WHEN ENTERING/CROSSING HIGHWAY FROM ALLEY/DRIVEWAY                                                     |  60.5 | 30.5 |  91 |
| ORDIN.0-210N20005499.0 | FAIL TO YIELD TO APPROACHING VEHICLE WHEN TURNING LEFT INTO ALLEY/PRIVATE ROAD/DRIVEWAY                                                     |  60.5 | 30.5 |  91 |
| ORDIN.0-215N20005499.0 | FAIL TO YIELD TO EMERGENCY VEHICLE SOUNDING AUDIBLE SIREN SIGNAL/DISPLAY LIGHTED VISIBLE RED/BLUE LIGHT                                     |  80.5 | 30.5 | 111 |
| ORDIN.0-213N20005499.0 | FAIL TO YIELD TO VEHICLE APPROACHING FROM OPPOSITE DIRECTION WHEN TURNING LEFT                                                              |  60.5 | 30.5 |  91 |
| ORDIN.0-107N20005499.0 | FAILED TO DRIVE ON RIGHT HALF OF ROADWAY WHEN ROADWAY WAS OF SUFFICIENT WIDTH                                                               |  60.5 | 30.5 |  91 |
| ORDIN.0-123N20005499.0 | FAILED TO DRIVE ON RIGHT HALF OF ROADWAY WHEN ROADWAY WAS SUFFICIENT WIDTH - CAUSE IMMEDIATE THREAT OF ACCIDENT                             |  60.5 | 30.5 |  91 |
| ORDIN.0-108N20005499.0 | FAILED TO DRIVE WITHIN SINGLE LANE                                                                                                          |  60.5 | 30.5 |  91 |
| ORDIN.0-224N20005499.0 | FAILED TO MAKE/APPROACH FOR LEFT TURN WITHIN PROPER LANE                                                                                    |  60.5 | 30.5 |  91 |
| ORDIN.0-201N20005499.0 | FAILED TO OBEY OFFICIAL SIGNS TEMPORARILY DESIGNATING LANES                                                                                 |  60.5 | 30.5 |  91 |
| ORDIN.0-202N20005499.0 | FAILED TO OBEY OFFICIAL SIGNS TEMPORARILY DESIGNATING LANES - CAUSE IMMEDIATE THREAT OF ACCIDENT                                            |  60.5 | 30.5 |  91 |
| ORDIN.0-250N20005499.0 | FAILED TO PLACE VEHICLE NOT IN MOTION AS NEAR RIGHT HAND SIDE OF ROAD AS PRACTICABLE                                                        |  60.5 | 30.5 |  91 |
| ORDIN.0-251N20005499.0 | FAILED TO PLACE VEHICLE NOT IN MOTION AS NEAR RIGHT HAND SIDE OF ROAD AS PRACTICABLE CAUSING IMMEDIATE THREAT OF ACCIDENT                   |  60.5 | 30.5 |  91 |
| ORDIN.0-198N20005499.0 | FAILED TO PROCEED WITH CAUTION PAST FLASHING YELLOW SIGNAL                                                                                  |  60.5 | 30.5 |  91 |
| ORDIN.0-289N20005499.0 | FAILED TO REGISTER VEHICLE                                                                                                                  |  50.5 | 30.5 |  81 |
| ORDIN.0-199N20005499.0 | FAILED TO STOP FOR FLASHING RED SIGNAL AT STOP LINE/CROSSWALK/POINT NEAREST INTERSECTION                                                    |  60.5 | 30.5 |  91 |
| ORDIN.0-200N20005499.0 | FAILED TO STOP FOR STEADY RED SIGNAL AT CROSSWALK/STOP LINE/POINT NEAREST INTERSECTION                                                      |  60.5 | 30.5 |  91 |
| ORDIN.0-205N20005499.0 | FAILED TO YIELD                                                                                                                             |  60.5 | 30.5 |  91 |
| ORDIN.0-208N20005499.0 | FAILED TO YIELD RIGHT OF WAY TO PEDESTRIAN FACING WALK SIGNAL                                                                               |  60.5 | 30.5 |  91 |
| ORDIN.0-211N20005499.0 | FAILED TO YIELD RIGHT OF WAY TO VEHICLE/PEDESTRIAN LAWFULLY IN CONTROLLED INTERSECTION OR CROSSWALK                                         |  60.5 | 30.5 |  91 |
| ORDIN.0-212N20005499.0 | FAILED TO YIELD TO VEHICLE ON RIGHT THAT ENTERED INTERSECTION AT APPROXIMATELY SAME TIME                                                    |  60.5 | 30.5 |  91 |
| ORDIN.0-207N20005499.0 | FAILED TO YIELD TO VEHICLE THAT HAD ENTERED INTERSECTION WITH NO TRAFFIC CONTROL                                                            |  60.5 | 30.5 |  91 |
| ORDIN.0-158N20035499.0 | FAILURE TO DIM LIGHTS                                                                                                                       |  50.5 | 30.5 |  81 |
| ORDIN.0-216N20065499.0 | FAILURE TO PROCEED WITH CAUTION/YIELD RIGHT-OF-WAY/REDUCE SPEED WHEN APPROACHING A STATIONARY EMERGENCY VEHICLE DISPLAYING EMERGENCY LIGHTS |  80.5 | 30.5 | 111 |
| ORDIN.0-125N20035499.0 | FAILURE TO STAY ON PAVEMENT                                                                                                                 |  60.5 | 30.5 |  91 |
| ORDIN.0-139N20005499.0 | FOLLOWED ANOTHER BUS/TRUCK CLOSER THAN 300 FT                                                                                               | 130.5 | 30.5 | 161 |
| ORDIN.0-135N20005499.0 | FOLLOWED ANOTHER VEHICLE TOO CLOSELY                                                                                                        |  60.5 | 30.5 |  91 |
| ORDIN.0-265N20005499.0 | HANDICAPPED PARKING VIOLATION                                                                                                               | 100.5 | 30.5 | 131 |
| ORDIN.0-126N20005499.0 | ILLEGAL/IMPROPER TURNING                                                                                                                    |  60.5 | 30.5 |  91 |
| ORDIN.0-105N20005499.0 | IMPROPER BACKING                                                                                                                            |  60.5 | 30.5 |  91 |
| ORDIN.0-137N20005499.0 | IMPROPER LANE USE                                                                                                                           |  60.5 | 30.5 |  91 |
| ORDIN.0-141N20005499.0 | IMPROPER PASSING OF A STREETCAR                                                                                                             |  80.5 | 30.5 | 111 |
| ORDIN.0-379N20005499.0 | INCREASED SPEED WHILE BEING PASSED                                                                                                          |  80.5 | 30.5 | 111 |
| ORDIN.0-132N20005499.0 | MADE U-TURN AT INTERSECTION CONTROLLED BY TRAFFIC SIGNAL/POLICE OFFICER                                                                     |  60.5 | 30.5 |  91 |
| ORDIN.0-131N20005499.0 | MADE U-TURN NOT AT CROSSOVER                                                                                                                |  60.5 | 30.5 |  91 |
| ORDIN.0-133N20005499.0 | MADE U-TURN NOT AT CROSSOVER-CAUSE IMMEDIATE THREAT OF ACCIDENT                                                                             |  60.5 | 30.5 |  91 |
| ORDIN.0-114N20005499.0 | MADE U-TURN/INTERFERED WITH TRAFFIC WHERE VISION LESS THAN 300 FEET - TRAFFIC HAZARD CREATED                                                |  60.5 | 30.5 |  91 |
| ORDIN.0-271N20005499.0 | MISCELLANEOUS PARKING VIOLATION                                                                                                             |  50.5 | 30.5 |  81 |
| ORDIN.0-281N20005499.0 | MISCELLANEOUS PEDESTRIAN VIOLATION                                                                                                          |  15.5 | 30.5 |  46 |
| ORDIN.0-157N20005499.0 | NO HEADLIGHTS WHEN REQUIRED                                                                                                                 |  50.5 | 30.5 |  81 |
| ORDIN.0-405N20207399.0 | Nuisance - Abandoned Vehicle                                                                                                                |  50.5 | 30.5 |  81 |
| ORDIN.0-406N20207399.0 | Nuisance (Violations Bureau)                                                                                                                | 100.5 | 30.5 | 131 |
| ORDIN.0-242N20035499.0 | OBSTRUCTING TRAFFIC                                                                                                                         |  50.5 | 30.5 |  81 |
| ORDIN.0-398N20195499   | OPER MTR VEH WITHOUT LIGHTED LAMPS DURING PERIODS OF FOG/WEATHER CONDITIONS                                                                 |  10   |  0   |  10 |
| ORDIN.0-014N20005499.0 | OPERATE ALL-TERRAIN VEHICLE CARRYING A PASSENGER                                                                                            |  50.5 | 30.5 |  81 |
| ORDIN.0-017N20005499.0 | OPERATE ALL-TERRAIN VEHICLE ON HWY WITHOUT OPERATOR OR CHAUFFEUR LICENSE                                                                    |  60.5 | 30.5 |  91 |
| ORDIN.0-013N20005499.0 | OPERATE ALL-TERRAIN VEHICLE UPON A HIGHWAY/STREET NOT AUTHORIZED                                                                            |  50.5 | 30.5 |  81 |
| ORDIN.0-016N20005499.0 | OPERATE ALL-TERRAIN VEHICLE WITHIN A STREAM OR RIVER                                                                                        | 149.5 | 30.5 | 180 |
| ORDIN.0-015N20005499.0 | OPERATE ALL-TERRAIN VEHICLE WITHOUT PROPER BICYCLE SAFETY FLAG                                                                              |  50.5 | 30.5 |  81 |
| ORDIN.0-020N20005499.0 | OPERATE ATV ON HWY IN EXCESS OF 30 MILES PER HOUR                                                                                           |  60.5 | 30.5 |  91 |
| ORDIN.0-188N20005499.0 | OPERATE MOTORIZED BICYCLE ON HIGHWAY - STREET WITHOUT VALID DRIVERS LICENSE                                                                 |  50.5 | 30.5 |  81 |
| ORDIN.0-189N20005499.0 | OPERATE MOTORIZED BICYCLE ON INTERSTATE HIGHWAY                                                                                             |  50.5 | 30.5 |  81 |
| ORDIN.0-148N20005499.0 | OPERATE/TRANSPORT IMPLEMENTS OF HUSBANDRY ON ROADWAY BETWEEN SUNSET AND SUNRISE                                                             |  80.5 | 30.5 | 111 |
| ORDIN.0-269N20005499.0 | PARKING VIOLATION                                                                                                                           |  15.5 | 30.5 |  46 |
| ORDIN.0-145N20005499.0 | PASS VEHICLE ON RIGHT/TRAVELED OFF MAIN PORTION OF ROAD                                                                                     |  80.5 | 30.5 | 111 |
| ORDIN.0-146N20005499.0 | PASS VEHICLE/INTERFERED WITH APPROACHING TRAFFIC                                                                                            | 130.5 | 30.5 | 161 |
| ORDIN.0-047N20005499.0 | PERMITTED INVALIDATED LICENSEE TO OPERATE MOTORCYCLE                                                                                        |  70.5 | 30.5 | 101 |
| ORDIN.0-156N20095499.0 | PERSON 21 YEARS OLD OR LESS OPERATE MOVING MOTOR VEHICLE WHILE SENDING/READING/TEXTING ON MOBILE ELECTRONIC DEVICE                          |  80.5 | 30.5 | 111 |
| ORDIN.0-296N20005499.0 | PERSON LESS THAN 18 YEARS OF AGE OPERATING/RIDING IN TRUCK FAILED TO WEAR PROPERLY ADJUSTED/FASTENED SEAT BELT                              |  10   |  0   |  10 |
| ORDIN.0-021N20005499.0 | PERSON UNDER 18 YEARS OF AGE OPERATE ALL-TERRAIN VEHICLE WITHOUT SECURELY FASTENED SAFETY HELMET ON HEAD                                    |  50.5 | 30.5 |  81 |
| ORDIN.0-193N20005499.0 | RED LIGHT VIOLATION                                                                                                                         |  60.5 | 30.5 |  91 |
| ORDIN.0-297N20005499.0 | SEATBELT VIOLATION-OTHER                                                                                                                    |  10   |  0   |  10 |
| ORDIN.0-147N20005499.0 | STOPPED/SLOWED SPEED/TURNED FROM DIRECT COURSE/MOVED VEH RGT/LFT WHEN UNSAFE                                                                |  60.5 | 30.5 |  91 |
| ORDIN.0-138N20005499.0 | TRUCK OVER 18000 LBS FOLLOWED ANOTHER VEHICLE TOO CLOSELY                                                                                   | 130.5 | 30.5 | 161 |
| ORDIN.0-127N20005499.0 | TURNED RIGHT ON RED SIGNAL WHERE PROHIBITED BY SIGN                                                                                         |  60.5 | 30.5 |  91 |
| ORDIN.0-290N20005499.0 | VEHICLE LICENSE/INSPECTION/TITLE                                                                                                            |  50.5 | 30.5 |  81 |
| ORDIN.0-161N200054__.0 | VIOLATE OUT-OF-SERVICE ORDER WHILE TRANSPORTING HAZARDOUS MATERIALS - 1ST OFFENSE                                                           | 130.5 | 30.5 | 161 |
| ORDIN.0-163N20005499.0 | VIOLATE OUT-OF-STATE ORDER WHILE OPERATING MOTOR VEHICLE DESIGNED TO TRANSPORT MORE THAN 15 PASSENGERS INCLUDING DRIVER - 1ST OFFENSE       | 130.5 | 30.5 | 161 |
| ORDIN.0-233N20075499._ | VIOLATION OF RESTRICTIONS/REGULATIONS REGARDING TOW TRUCKS                                                                                  | 130.5 | 30.5 | 161 |
| ORDIN.0-106N20035499.0 | WEAVING                                                                                                                                     |  60.5 | 30.5 |  91 |



label: E=C+D
labeled_formulas: E=C+D
output: {"Arithmetic-Relationship": ["E=C+D"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_103076___xlsx_719529cc01e683963183d5991bd6cdadf50056f5.xlsx___line_224